Yossi_Students
Chirp Signal Generator
Dependencies: mbed
Fork of
TAU_ZOOLOG_Playback_Rev1_1
by 
Yossi_Students
chirp.h
- Committer:
- Arkadi
- Date:
- 2017-08-21
- Revision:
- 16:8274b4ad84ee
- Child:
- 17:c0c17da42990
File content as of revision 16:8274b4ad84ee:
/*
Header File Generated by Matlab Script: Chirp_Generator.m
Chirp Design:
Number of Samples: 225000
Sample Rate: 1000 kHz
Start Frequency: 1 kHz
End Frequency: 100 kHz
*/
#define NUM_SAMPLES 225000
const uint16_t chirpData[NUM_SAMPLES] = {
2048, 2048, 2049, 2049, 2049, 2050, 2050, 2050, 2051, 2051,
2051, 2052, 2052, 2053, 2053, 2053, 2054, 2054, 2054, 2055,
2055, 2055, 2056, 2056, 2056, 2057, 2057, 2058, 2058, 2058,
2059, 2059, 2059, 2060, 2060, 2060, 2061, 2061, 2061, 2062,
2062, 2062, 2063, 2063, 2063, 2064, 2064, 2064, 2064, 2065,
2065, 2065, 2066, 2066, 2066, 2067, 2067, 2067, 2067, 2068,
2068, 2068, 2069, 2069, 2069, 2069, 2070, 2070, 2070, 2070,
2071, 2071, 2071, 2071, 2072, 2072, 2072, 2072, 2073, 2073,
2073, 2073, 2074, 2074, 2074, 2074, 2074, 2075, 2075, 2075,
2075, 2075, 2075, 2076, 2076, 2076, 2076, 2076, 2076, 2076,
2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2078, 2078,
2078, 2078, 2078, 2078, 2078, 2078, 2078, 2078, 2078, 2078,
2078, 2078, 2078, 2078, 2078, 2079, 2079, 2079, 2079, 2078,
2078, 2078, 2078, 2078, 2078, 2078, 2078, 2078, 2078, 2078,
2078, 2078, 2078, 2078, 2078, 2078, 2077, 2077, 2077, 2077,
2077, 2077, 2077, 2077, 2076, 2076, 2076, 2076, 2076, 2076,
2075, 2075, 2075, 2075, 2074, 2074, 2074, 2074, 2074, 2073,
2073, 2073, 2073, 2072, 2072, 2072, 2071, 2071, 2071, 2070,
2070, 2070, 2069, 2069, 2069, 2068, 2068, 2068, 2067, 2067,
2067, 2066, 2066, 2065, 2065, 2064, 2064, 2064, 2063, 2063,
2062, 2062, 2061, 2061, 2060, 2060, 2059, 2059, 2058, 2058,
2057, 2057, 2056, 2056, 2055, 2055, 2054, 2054, 2053, 2052,
2052, 2051, 2051, 2050, 2050, 2049, 2048, 2048, 2047, 2046,
2046, 2045, 2044, 2044, 2043, 2042, 2042, 2041, 2040, 2040,
2039, 2038, 2038, 2037, 2036, 2035, 2035, 2034, 2033, 2033,
2032, 2031, 2030, 2030, 2029, 2028, 2027, 2026, 2026, 2025,
2024, 2023, 2022, 2022, 2021, 2020, 2019, 2018, 2017, 2017,
2016, 2015, 2014, 2013, 2012, 2012, 2011, 2010, 2009, 2008,
2007, 2006, 2005, 2005, 2004, 2003, 2002, 2001, 2000, 1999,
1998, 1997, 1996, 1995, 1995, 1994, 1993, 1992, 1991, 1990,
1989, 1988, 1987, 1986, 1985, 1984, 1983, 1982, 1982, 1981,
1980, 1979, 1978, 1977, 1976, 1975, 1974, 1973, 1972, 1971,
1970, 1969, 1968, 1967, 1966, 1965, 1965, 1964, 1963, 1962,
1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952,
1951, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943,
1942, 1941, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934,
1934, 1933, 1932, 1931, 1930, 1929, 1928, 1928, 1927, 1926,
1925, 1924, 1924, 1923, 1922, 1921, 1920, 1920, 1919, 1918,
1917, 1917, 1916, 1915, 1915, 1914, 1913, 1912, 1912, 1911,
1910, 1910, 1909, 1908, 1908, 1907, 1906, 1906, 1905, 1905,
1904, 1903, 1903, 1902, 1902, 1901, 1901, 1900, 1900, 1899,
1899, 1898, 1898, 1897, 1897, 1896, 1896, 1895, 1895, 1895,
1894, 1894, 1894, 1893, 1893, 1892, 1892, 1892, 1892, 1891,
1891, 1891, 1891, 1890, 1890, 1890, 1890, 1889, 1889, 1889,
1889, 1889, 1889, 1889, 1889, 1888, 1888, 1888, 1888, 1888,
1888, 1888, 1888, 1888, 1888, 1888, 1889, 1889, 1889, 1889,
1889, 1889, 1889, 1889, 1890, 1890, 1890, 1890, 1891, 1891,
1891, 1891, 1892, 1892, 1892, 1893, 1893, 1894, 1894, 1894,
1895, 1895, 1896, 1896, 1897, 1897, 1898, 1898, 1899, 1899,
1900, 1901, 1901, 1902, 1903, 1903, 1904, 1905, 1905, 1906,
1907, 1908, 1909, 1909, 1910, 1911, 1912, 1913, 1914, 1915,
1916, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1924, 1925,
1926, 1927, 1928, 1929, 1930, 1931, 1933, 1934, 1935, 1936,
1937, 1939, 1940, 1941, 1943, 1944, 1945, 1947, 1948, 1949,
1951, 1952, 1954, 1955, 1957, 1958, 1960, 1961, 1963, 1964,
1966, 1967, 1969, 1970, 1972, 1974, 1975, 1977, 1979, 1980,
1982, 1984, 1985, 1987, 1989, 1991, 1992, 1994, 1996, 1998,
2000, 2001, 2003, 2005, 2007, 2009, 2011, 2013, 2015, 2016,
2018, 2020, 2022, 2024, 2026, 2028, 2030, 2032, 2034, 2036,
2038, 2040, 2042, 2044, 2046, 2049, 2051, 2053, 2055, 2057,
2059, 2061, 2063, 2065, 2068, 2070, 2072, 2074, 2076, 2078,
2081, 2083, 2085, 2087, 2089, 2091, 2094, 2096, 2098, 2100,
2103, 2105, 2107, 2109, 2111, 2114, 2116, 2118, 2120, 2123,
2125, 2127, 2129, 2132, 2134, 2136, 2138, 2140, 2143, 2145,
2147, 2149, 2152, 2154, 2156, 2158, 2160, 2163, 2165, 2167,
2169, 2171, 2174, 2176, 2178, 2180, 2182, 2185, 2187, 2189,
2191, 2193, 2195, 2197, 2199, 2202, 2204, 2206, 2208, 2210,
2212, 2214, 2216, 2218, 2220, 2222, 2224, 2226, 2228, 2230,
2232, 2234, 2236, 2238, 2239, 2241, 2243, 2245, 2247, 2249,
2251, 2252, 2254, 2256, 2258, 2259, 2261, 2263, 2264, 2266,
2268, 2269, 2271, 2272, 2274, 2276, 2277, 2279, 2280, 2281,
2283, 2284, 2286, 2287, 2288, 2290, 2291, 2292, 2294, 2295,
2296, 2297, 2298, 2300, 2301, 2302, 2303, 2304, 2305, 2306,
2307, 2308, 2309, 2310, 2311, 2311, 2312, 2313, 2314, 2315,
2315, 2316, 2317, 2317, 2318, 2318, 2319, 2319, 2320, 2320,
2321, 2321, 2322, 2322, 2322, 2323, 2323, 2323, 2323, 2323,
2323, 2324, 2324, 2324, 2324, 2324, 2323, 2323, 2323, 2323,
2323, 2323, 2322, 2322, 2322, 2321, 2321, 2321, 2320, 2320,
2319, 2319, 2318, 2317, 2317, 2316, 2315, 2315, 2314, 2313,
2312, 2311, 2310, 2309, 2308, 2307, 2306, 2305, 2304, 2303,
2302, 2300, 2299, 2298, 2296, 2295, 2294, 2292, 2291, 2289,
2288, 2286, 2285, 2283, 2281, 2280, 2278, 2276, 2274, 2272,
2271, 2269, 2267, 2265, 2263, 2261, 2259, 2257, 2255, 2252,
2250, 2248, 2246, 2243, 2241, 2239, 2236, 2234, 2232, 2229,
2227, 2224, 2222, 2219, 2216, 2214, 2211, 2209, 2206, 2203,
2200, 2198, 2195, 2192, 2189, 2186, 2183, 2180, 2177, 2174,
2171, 2168, 2165, 2162, 2159, 2156, 2153, 2149, 2146, 2143,
2140, 2136, 2133, 2130, 2127, 2123, 2120, 2116, 2113, 2110,
2106, 2103, 2099, 2096, 2092, 2089, 2085, 2082, 2078, 2074,
2071, 2067, 2064, 2060, 2056, 2053, 2049, 2045, 2042, 2038,
2034, 2031, 2027, 2023, 2019, 2016, 2012, 2008, 2004, 2001,
1997, 1993, 1989, 1986, 1982, 1978, 1974, 1971, 1967, 1963,
1959, 1955, 1952, 1948, 1944, 1940, 1937, 1933, 1929, 1925,
1922, 1918, 1914, 1910, 1907, 1903, 1899, 1896, 1892, 1888,
1885, 1881, 1878, 1874, 1870, 1867, 1863, 1860, 1856, 1853,
1849, 1846, 1842, 1839, 1835, 1832, 1829, 1825, 1822, 1819,
1815, 1812, 1809, 1806, 1802, 1799, 1796, 1793, 1790, 1787,
1784, 1781, 1778, 1775, 1772, 1769, 1766, 1764, 1761, 1758,
1755, 1753, 1750, 1747, 1745, 1742, 1740, 1737, 1735, 1732,
1730, 1728, 1725, 1723, 1721, 1719, 1717, 1715, 1713, 1711,
1709, 1707, 1705, 1703, 1701, 1700, 1698, 1696, 1695, 1693,
1692, 1690, 1689, 1688, 1686, 1685, 1684, 1683, 1682, 1680,
1679, 1679, 1678, 1677, 1676, 1675, 1675, 1674, 1673, 1673,
1672, 1672, 1671, 1671, 1671, 1671, 1671, 1670, 1670, 1670,
1670, 1671, 1671, 1671, 1671, 1672, 1672, 1672, 1673, 1674,
1674, 1675, 1676, 1676, 1677, 1678, 1679, 1680, 1681, 1682,
1684, 1685, 1686, 1688, 1689, 1690, 1692, 1694, 1695, 1697,
1699, 1701, 1702, 1704, 1706, 1708, 1711, 1713, 1715, 1717,
1720, 1722, 1724, 1727, 1729, 1732, 1735, 1737, 1740, 1743,
1746, 1749, 1752, 1755, 1758, 1761, 1764, 1768, 1771, 1774,
1778, 1781, 1785, 1788, 1792, 1795, 1799, 1803, 1806, 1810,
1814, 1818, 1822, 1826, 1830, 1834, 1838, 1843, 1847, 1851,
1855, 1860, 1864, 1868, 1873, 1877, 1882, 1886, 1891, 1896,
1900, 1905, 1910, 1915, 1919, 1924, 1929, 1934, 1939, 1944,
1949, 1954, 1959, 1964, 1969, 1974, 1979, 1984, 1990, 1995,
2000, 2005, 2010, 2016, 2021, 2026, 2032, 2037, 2042, 2048,
2053, 2058, 2064, 2069, 2075, 2080, 2085, 2091, 2096, 2102,
2107, 2113, 2118, 2123, 2129, 2134, 2140, 2145, 2151, 2156,
2161, 2167, 2172, 2178, 2183, 2188, 2194, 2199, 2204, 2210,
2215, 2220, 2225, 2231, 2236, 2241, 2246, 2251, 2257, 2262,
2267, 2272, 2277, 2282, 2287, 2292, 2297, 2301, 2306, 2311,
2316, 2321, 2325, 2330, 2335, 2339, 2344, 2348, 2353, 2357,
2362, 2366, 2370, 2374, 2379, 2383, 2387, 2391, 2395, 2399,
2403, 2407, 2410, 2414, 2418, 2421, 2425, 2428, 2432, 2435,
2439, 2442, 2445, 2448, 2451, 2454, 2457, 2460, 2463, 2466,
2468, 2471, 2473, 2476, 2478, 2481, 2483, 2485, 2487, 2489,
2491, 2493, 2495, 2496, 2498, 2500, 2501, 2503, 2504, 2505,
2506, 2507, 2509, 2509, 2510, 2511, 2512, 2512, 2513, 2513,
2514, 2514, 2514, 2514, 2514, 2514, 2514, 2514, 2514, 2513,
2513, 2512, 2512, 2511, 2510, 2509, 2508, 2507, 2506, 2505,
2503, 2502, 2500, 2499, 2497, 2495, 2494, 2492, 2490, 2488,
2485, 2483, 2481, 2478, 2476, 2473, 2470, 2468, 2465, 2462,
2459, 2456, 2453, 2449, 2446, 2442, 2439, 2435, 2432, 2428,
2424, 2420, 2416, 2412, 2408, 2404, 2399, 2395, 2391, 2386,
2382, 2377, 2372, 2367, 2362, 2357, 2352, 2347, 2342, 2337,
2332, 2326, 2321, 2316, 2310, 2304, 2299, 2293, 2287, 2282,
2276, 2270, 2264, 2258, 2252, 2245, 2239, 2233, 2227, 2220,
2214, 2208, 2201, 2195, 2188, 2182, 2175, 2168, 2162, 2155,
2148, 2141, 2134, 2128, 2121, 2114, 2107, 2100, 2093, 2086,
2079, 2072, 2065, 2058, 2051, 2044, 2036, 2029, 2022, 2015,
2008, 2001, 1993, 1986, 1979, 1972, 1965, 1958, 1950, 1943,
1936, 1929, 1922, 1915, 1908, 1901, 1894, 1887, 1880, 1873,
1866, 1859, 1852, 1845, 1838, 1831, 1824, 1817, 1811, 1804,
1797, 1791, 1784, 1777, 1771, 1764, 1758, 1752, 1745, 1739,
1733, 1727, 1721, 1715, 1709, 1703, 1697, 1691, 1685, 1679,
1674, 1668, 1663, 1657, 1652, 1647, 1641, 1636, 1631, 1626,
1621, 1617, 1612, 1607, 1603, 1598, 1594, 1589, 1585, 1581,
1577, 1573, 1569, 1565, 1562, 1558, 1555, 1551, 1548, 1545,
1542, 1539, 1536, 1533, 1530, 1528, 1525, 1523, 1521, 1519,
1517, 1515, 1513, 1511, 1509, 1508, 1507, 1505, 1504, 1503,
1502, 1501, 1501, 1500, 1500, 1499, 1499, 1499, 1499, 1499,
1499, 1500, 1500, 1501, 1502, 1502, 1503, 1504, 1506, 1507,
1508, 1510, 1512, 1513, 1515, 1517, 1520, 1522, 1524, 1527,
1529, 1532, 1535, 1538, 1541, 1544, 1548, 1551, 1555, 1558,
1562, 1566, 1570, 1574, 1578, 1583, 1587, 1592, 1596, 1601,
1606, 1611, 1616, 1621, 1627, 1632, 1638, 1643, 1649, 1655,
1661, 1667, 1673, 1679, 1685, 1692, 1698, 1705, 1711, 1718,
1725, 1732, 1739, 1746, 1753, 1760, 1767, 1775, 1782, 1790,
1797, 1805, 1813, 1820, 1828, 1836, 1844, 1852, 1860, 1869,
1877, 1885, 1893, 1902, 1910, 1919, 1927, 1936, 1944, 1953,
1961, 1970, 1979, 1988, 1996, 2005, 2014, 2023, 2032, 2041,
2049, 2058, 2067, 2076, 2085, 2094, 2103, 2112, 2121, 2130,
2139, 2148, 2157, 2166, 2175, 2183, 2192, 2201, 2210, 2219,
2228, 2236, 2245, 2254, 2262, 2271, 2280, 2288, 2297, 2305,
2313, 2322, 2330, 2338, 2346, 2355, 2363, 2371, 2379, 2386,
2394, 2402, 2410, 2417, 2425, 2432, 2440, 2447, 2454, 2461,
2468, 2475, 2482, 2489, 2495, 2502, 2508, 2515, 2521, 2527,
2533, 2539, 2545, 2550, 2556, 2562, 2567, 2572, 2577, 2582,
2587, 2592, 2596, 2601, 2605, 2610, 2614, 2618, 2622, 2625,
2629, 2632, 2636, 2639, 2642, 2645, 2647, 2650, 2652, 2655,
2657, 2659, 2661, 2662, 2664, 2665, 2667, 2668, 2669, 2670,
2670, 2671, 2671, 2671, 2671, 2671, 2671, 2670, 2670, 2669,
2668, 2667, 2666, 2664, 2663, 2661, 2659, 2657, 2655, 2653,
2650, 2648, 2645, 2642, 2639, 2636, 2632, 2629, 2625, 2621,
2617, 2613, 2609, 2604, 2600, 2595, 2590, 2585, 2580, 2574,
2569, 2563, 2558, 2552, 2546, 2539, 2533, 2527, 2520, 2513,
2507, 2500, 2493, 2485, 2478, 2470, 2463, 2455, 2447, 2439,
2431, 2423, 2415, 2407, 2398, 2390, 2381, 2372, 2363, 2354,
2345, 2336, 2327, 2317, 2308, 2298, 2289, 2279, 2269, 2260,
2250, 2240, 2230, 2220, 2210, 2199, 2189, 2179, 2168, 2158,
2148, 2137, 2127, 2116, 2105, 2095, 2084, 2074, 2063, 2052,
2041, 2031, 2020, 2009, 1998, 1988, 1977, 1966, 1955, 1944,
1934, 1923, 1912, 1902, 1891, 1880, 1870, 1859, 1849, 1838,
1828, 1817, 1807, 1796, 1786, 1776, 1766, 1756, 1746, 1736,
1726, 1716, 1706, 1697, 1687, 1678, 1668, 1659, 1650, 1641,
1632, 1623, 1614, 1605, 1596, 1588, 1580, 1571, 1563, 1555,
1547, 1539, 1532, 1524, 1517, 1510, 1503, 1496, 1489, 1482,
1476, 1469, 1463, 1457, 1451, 1445, 1440, 1434, 1429, 1424,
1419, 1414, 1410, 1405, 1401, 1397, 1393, 1389, 1386, 1382,
1379, 1376, 1373, 1371, 1368, 1366, 1364, 1362, 1360, 1359,
1357, 1356, 1355, 1355, 1354, 1354, 1354, 1354, 1354, 1354,
1355, 1356, 1357, 1358, 1360, 1361, 1363, 1365, 1367, 1370,
1372, 1375, 1378, 1382, 1385, 1389, 1392, 1396, 1401, 1405,
1410, 1414, 1419, 1424, 1430, 1435, 1441, 1447, 1453, 1459,
1466, 1472, 1479, 1486, 1493, 1500, 1508, 1515, 1523, 1531,
1539, 1548, 1556, 1565, 1573, 1582, 1591, 1601, 1610, 1619,
1629, 1639, 1649, 1659, 1669, 1679, 1690, 1700, 1711, 1721,
1732, 1743, 1754, 1765, 1777, 1788, 1800, 1811, 1823, 1834,
1846, 1858, 1870, 1882, 1894, 1906, 1918, 1931, 1943, 1955,
1968, 1980, 1993, 2005, 2018, 2030, 2043, 2055, 2068, 2081,
2093, 2106, 2118, 2131, 2144, 2156, 2169, 2181, 2194, 2207,
2219, 2231, 2244, 2256, 2269, 2281, 2293, 2305, 2317, 2329,
2341, 2353, 2365, 2377, 2388, 2400, 2411, 2423, 2434, 2445,
2456, 2467, 2478, 2489, 2499, 2510, 2520, 2530, 2540, 2550,
2560, 2569, 2579, 2588, 2597, 2606, 2615, 2624, 2632, 2641,
2649, 2657, 2665, 2672, 2680, 2687, 2694, 2701, 2708, 2714,
2721, 2727, 2733, 2738, 2744, 2749, 2754, 2759, 2763, 2768,
2772, 2776, 2780, 2783, 2786, 2789, 2792, 2795, 2797, 2799,
2801, 2803, 2804, 2805, 2806, 2807, 2807, 2807, 2807, 2807,
2806, 2806, 2805, 2803, 2802, 2800, 2798, 2796, 2793, 2791,
2788, 2785, 2781, 2777, 2773, 2769, 2765, 2760, 2755, 2750,
2745, 2739, 2734, 2728, 2721, 2715, 2708, 2701, 2694, 2687,
2679, 2671, 2663, 2655, 2647, 2638, 2629, 2620, 2611, 2601,
2592, 2582, 2572, 2562, 2551, 2541, 2530, 2519, 2508, 2497,
2485, 2474, 2462, 2450, 2438, 2426, 2414, 2401, 2389, 2376,
2363, 2350, 2337, 2324, 2311, 2298, 2284, 2271, 2257, 2243,
2229, 2215, 2202, 2187, 2173, 2159, 2145, 2131, 2116, 2102,
2088, 2073, 2059, 2044, 2030, 2015, 2001, 1986, 1972, 1957,
1943, 1928, 1914, 1899, 1885, 1871, 1856, 1842, 1828, 1814,
1800, 1786, 1772, 1758, 1744, 1730, 1717, 1703, 1690, 1677,
1663, 1650, 1637, 1624, 1612, 1599, 1587, 1574, 1562, 1550,
1538, 1527, 1515, 1504, 1493, 1482, 1471, 1460, 1450, 1440,
1429, 1420, 1410, 1401, 1391, 1382, 1374, 1365, 1357, 1349,
1341, 1333, 1326, 1318, 1312, 1305, 1298, 1292, 1286, 1281,
1275, 1270, 1265, 1261, 1256, 1252, 1249, 1245, 1242, 1239,
1236, 1234, 1232, 1230, 1228, 1227, 1226, 1226, 1225, 1225,
1225, 1226, 1227, 1228, 1229, 1231, 1233, 1235, 1237, 1240,
1243, 1247, 1251, 1255, 1259, 1263, 1268, 1273, 1279, 1284,
1290, 1297, 1303, 1310, 1317, 1324, 1332, 1340, 1348, 1356,
1365, 1374, 1383, 1392, 1402, 1412, 1422, 1432, 1443, 1454,
1465, 1476, 1488, 1500, 1511, 1524, 1536, 1549, 1561, 1574,
1587, 1601, 1614, 1628, 1642, 1656, 1670, 1684, 1699, 1713,
1728, 1743, 1758, 1773, 1788, 1804, 1819, 1835, 1850, 1866,
1882, 1898, 1914, 1930, 1946, 1962, 1978, 1995, 2011, 2027,
2044, 2060, 2076, 2093, 2109, 2126, 2142, 2158, 2175, 2191,
2207, 2224, 2240, 2256, 2272, 2288, 2304, 2320, 2336, 2351,
2367, 2383, 2398, 2413, 2428, 2443, 2458, 2473, 2488, 2502,
2516, 2531, 2545, 2558, 2572, 2586, 2599, 2612, 2625, 2638,
2650, 2662, 2674, 2686, 2698, 2709, 2720, 2731, 2742, 2752,
2762, 2772, 2782, 2791, 2800, 2809, 2817, 2825, 2833, 2841,
2848, 2855, 2862, 2868, 2875, 2880, 2886, 2891, 2896, 2900,
2905, 2909, 2912, 2915, 2918, 2921, 2923, 2925, 2926, 2928,
2929, 2929, 2929, 2929, 2929, 2928, 2927, 2925, 2923, 2921,
2919, 2916, 2912, 2909, 2905, 2901, 2896, 2891, 2886, 2880,
2874, 2868, 2862, 2855, 2848, 2840, 2832, 2824, 2815, 2807,
2797, 2788, 2778, 2768, 2758, 2747, 2736, 2725, 2714, 2702,
2690, 2678, 2665, 2652, 2639, 2626, 2612, 2599, 2585, 2570,
2556, 2541, 2526, 2511, 2496, 2480, 2465, 2449, 2433, 2416,
2400, 2383, 2367, 2350, 2333, 2316, 2298, 2281, 2264, 2246,
2228, 2211, 2193, 2175, 2157, 2139, 2120, 2102, 2084, 2066,
2047, 2029, 2011, 1993, 1974, 1956, 1938, 1919, 1901, 1883,
1865, 1847, 1829, 1811, 1793, 1775, 1757, 1740, 1722, 1705,
1687, 1670, 1653, 1636, 1620, 1603, 1587, 1571, 1555, 1539,
1523, 1508, 1492, 1477, 1462, 1448, 1433, 1419, 1405, 1392,
1378, 1365, 1352, 1340, 1328, 1316, 1304, 1292, 1281, 1271,
1260, 1250, 1240, 1230, 1221, 1212, 1204, 1196, 1188, 1180,
1173, 1166, 1160, 1154, 1148, 1143, 1138, 1134, 1129, 1126,
1122, 1119, 1116, 1114, 1112, 1111, 1110, 1109, 1109, 1109,
1109, 1110, 1112, 1113, 1115, 1118, 1121, 1124, 1128, 1132,
1136, 1141, 1146, 1152, 1158, 1165, 1171, 1179, 1186, 1194,
1202, 1211, 1220, 1229, 1239, 1249, 1260, 1271, 1282, 1293,
1305, 1317, 1330, 1343, 1356, 1369, 1383, 1397, 1411, 1426,
1441, 1456, 1472, 1487, 1503, 1520, 1536, 1553, 1570, 1587,
1604, 1622, 1640, 1658, 1676, 1694, 1713, 1732, 1751, 1770,
1789, 1808, 1827, 1847, 1867, 1886, 1906, 1926, 1946, 1966,
1986, 2006, 2027, 2047, 2067, 2087, 2108, 2128, 2148, 2168,
2189, 2209, 2229, 2249, 2269, 2289, 2309, 2328, 2348, 2367,
2387, 2406, 2425, 2444, 2463, 2481, 2500, 2518, 2536, 2554,
2572, 2589, 2606, 2623, 2640, 2657, 2673, 2689, 2705, 2720,
2735, 2750, 2765, 2779, 2793, 2807, 2820, 2833, 2845, 2858,
2870, 2881, 2892, 2903, 2914, 2924, 2933, 2943, 2952, 2960,
2968, 2976, 2983, 2990, 2996, 3002, 3008, 3013, 3018, 3022,
3026, 3029, 3032, 3035, 3037, 3039, 3040, 3040, 3041, 3041,
3040, 3039, 3037, 3035, 3033, 3030, 3026, 3023, 3018, 3014,
3008, 3003, 2997, 2990, 2983, 2976, 2968, 2960, 2951, 2942,
2932, 2923, 2912, 2901, 2890, 2879, 2867, 2854, 2841, 2828,
2815, 2801, 2787, 2772, 2757, 2742, 2726, 2710, 2694, 2677,
2660, 2643, 2626, 2608, 2590, 2571, 2553, 2534, 2515, 2495,
2476, 2456, 2436, 2416, 2395, 2375, 2354, 2333, 2312, 2290,
2269, 2248, 2226, 2204, 2182, 2161, 2139, 2116, 2094, 2072,
2050, 2028, 2006, 1983, 1961, 1939, 1917, 1895, 1873, 1851,
1829, 1807, 1785, 1764, 1742, 1721, 1699, 1678, 1657, 1636,
1616, 1595, 1575, 1555, 1535, 1516, 1496, 1477, 1458, 1440,
1421, 1403, 1386, 1368, 1351, 1334, 1318, 1302, 1286, 1270,
1255, 1241, 1226, 1212, 1199, 1186, 1173, 1161, 1149, 1137,
1126, 1115, 1105, 1096, 1086, 1077, 1069, 1061, 1054, 1047,
1040, 1034, 1029, 1024, 1020, 1016, 1012, 1009, 1007, 1005,
1003, 1002, 1002, 1002, 1002, 1004, 1005, 1007, 1010, 1013,
1017, 1021, 1026, 1031, 1037, 1043, 1050, 1057, 1065, 1073,
1082, 1091, 1100, 1111, 1121, 1132, 1144, 1156, 1168, 1181,
1195, 1209, 1223, 1238, 1253, 1268, 1284, 1300, 1317, 1334,
1352, 1369, 1388, 1406, 1425, 1444, 1464, 1484, 1504, 1524,
1545, 1566, 1587, 1608, 1630, 1652, 1674, 1697, 1719, 1742,
1765, 1788, 1811, 1835, 1858, 1882, 1906, 1930, 1954, 1978,
2002, 2026, 2050, 2074, 2098, 2122, 2147, 2171, 2195, 2219,
2243, 2267, 2290, 2314, 2338, 2361, 2385, 2408, 2431, 2454,
2476, 2499, 2521, 2543, 2565, 2586, 2607, 2628, 2649, 2670,
2690, 2710, 2729, 2748, 2767, 2785, 2804, 2821, 2839, 2856,
2872, 2888, 2904, 2919, 2934, 2948, 2962, 2976, 2989, 3001,
3013, 3025, 3036, 3046, 3056, 3066, 3075, 3083, 3091, 3099,
3106, 3112, 3118, 3123, 3127, 3131, 3135, 3138, 3140, 3142,
3143, 3144, 3144, 3143, 3142, 3141, 3138, 3136, 3132, 3128,
3124, 3118, 3113, 3107, 3100, 3092, 3084, 3076, 3067, 3057,
3047, 3036, 3025, 3013, 3001, 2988, 2975, 2961, 2947, 2932,
2917, 2901, 2885, 2868, 2851, 2833, 2815, 2796, 2778, 2758,
2739, 2719, 2698, 2677, 2656, 2634, 2613, 2590, 2568, 2545,
2522, 2499, 2475, 2451, 2427, 2403, 2378, 2353, 2328, 2303,
2278, 2252, 2227, 2201, 2175, 2150, 2124, 2098, 2071, 2045,
2019, 1993, 1967, 1941, 1915, 1889, 1863, 1837, 1811, 1785,
1760, 1734, 1709, 1684, 1659, 1634, 1610, 1585, 1561, 1537,
1514, 1490, 1467, 1445, 1422, 1400, 1378, 1357, 1336, 1315,
1295, 1275, 1255, 1236, 1218, 1199, 1182, 1164, 1148, 1131,
1115, 1100, 1085, 1071, 1057, 1044, 1031, 1019, 1008, 997,
986, 976, 967, 958, 950, 943, 936, 930, 924, 919,
915, 911, 908, 906, 904, 903, 902, 902, 903, 904,
906, 909, 912, 916, 921, 926, 932, 938, 946, 953,
962, 971, 980, 991, 1001, 1013, 1025, 1038, 1051, 1065,
1079, 1094, 1109, 1125, 1142, 1159, 1177, 1195, 1213, 1232,
1252, 1272, 1293, 1314, 1335, 1357, 1379, 1402, 1425, 1448,
1472, 1496, 1521, 1545, 1570, 1596, 1621, 1647, 1674, 1700,
1727, 1754, 1781, 1808, 1835, 1863, 1890, 1918, 1946, 1974,
2002, 2030, 2058, 2086, 2114, 2143, 2171, 2199, 2227, 2255,
2282, 2310, 2338, 2365, 2392, 2419, 2446, 2473, 2499, 2525,
2551, 2577, 2602, 2628, 2652, 2677, 2701, 2725, 2748, 2771,
2793, 2816, 2837, 2859, 2879, 2900, 2920, 2939, 2958, 2976,
2994, 3011, 3028, 3044, 3059, 3074, 3089, 3103, 3116, 3128,
3140, 3152, 3162, 3172, 3181, 3190, 3198, 3205, 3212, 3218,
3223, 3228, 3232, 3235, 3237, 3239, 3240, 3241, 3240, 3239,
3237, 3235, 3232, 3228, 3223, 3218, 3212, 3205, 3198, 3189,
3181, 3171, 3161, 3150, 3138, 3126, 3113, 3100, 3086, 3071,
3055, 3039, 3023, 3006, 2988, 2969, 2950, 2931, 2911, 2890,
2869, 2847, 2825, 2802, 2779, 2755, 2731, 2707, 2682, 2657,
2631, 2605, 2578, 2551, 2524, 2497, 2469, 2441, 2413, 2384,
2356, 2327, 2297, 2268, 2239, 2209, 2179, 2149, 2119, 2089,
2059, 2029, 1999, 1969, 1939, 1909, 1879, 1849, 1819, 1789,
1760, 1730, 1701, 1672, 1643, 1615, 1586, 1558, 1530, 1503,
1476, 1449, 1422, 1396, 1370, 1345, 1320, 1295, 1271, 1247,
1224, 1202, 1180, 1158, 1137, 1116, 1096, 1077, 1058, 1040,
1022, 1005, 989, 973, 958, 944, 930, 917, 905, 893,
882, 872, 863, 854, 846, 839, 832, 827, 822, 817,
814, 811, 810, 809, 808, 809, 810, 812, 815, 818,
823, 828, 834, 841, 848, 856, 866, 875, 886, 897,
909, 922, 935, 950, 964, 980, 996, 1013, 1031, 1049,
1068, 1088, 1108, 1129, 1150, 1172, 1195, 1218, 1242, 1266,
1291, 1316, 1342, 1368, 1395, 1422, 1450, 1478, 1506, 1535,
1564, 1593, 1623, 1653, 1683, 1714, 1745, 1776, 1807, 1838,
1870, 1902, 1934, 1966, 1998, 2030, 2062, 2094, 2126, 2158,
2190, 2222, 2254, 2286, 2317, 2349, 2380, 2411, 2442, 2473,
2503, 2534, 2563, 2593, 2622, 2651, 2680, 2708, 2735, 2763,
2790, 2816, 2842, 2867, 2892, 2916, 2940, 2963, 2986, 3008,
3029, 3050, 3070, 3090, 3109, 3127, 3144, 3161, 3177, 3192,
3207, 3221, 3234, 3246, 3257, 3268, 3278, 3287, 3295, 3302,
3309, 3315, 3320, 3324, 3327, 3329, 3331, 3332, 3332, 3331,
3329, 3326, 3322, 3318, 3313, 3306, 3299, 3292, 3283, 3274,
3263, 3252, 3240, 3227, 3214, 3199, 3184, 3168, 3152, 3134,
3116, 3097, 3078, 3057, 3036, 3014, 2992, 2969, 2945, 2921,
2896, 2871, 2845, 2818, 2791, 2763, 2735, 2706, 2677, 2648,
2617, 2587, 2556, 2525, 2493, 2462, 2429, 2397, 2364, 2331,
2298, 2265, 2231, 2197, 2164, 2130, 2096, 2062, 2027, 1993,
1959, 1925, 1891, 1857, 1823, 1790, 1756, 1723, 1689, 1656,
1624, 1591, 1559, 1527, 1496, 1464, 1434, 1403, 1373, 1344,
1315, 1286, 1258, 1230, 1203, 1177, 1151, 1126, 1101, 1077,
1054, 1031, 1009, 988, 967, 947, 928, 910, 892, 875,
859, 844, 830, 816, 804, 792, 781, 771, 762, 753,
746, 739, 734, 729, 725, 723, 721, 720, 720, 720,
722, 725, 729, 733, 739, 745, 753, 761, 770, 780,
791, 803, 816, 829, 844, 859, 875, 892, 910, 929,
949, 969, 990, 1012, 1034, 1058, 1082, 1106, 1132, 1158,
1185, 1212, 1240, 1269, 1298, 1328, 1358, 1389, 1420, 1452,
1484, 1516, 1549, 1583, 1616, 1651, 1685, 1720, 1755, 1790,
1825, 1861, 1896, 1932, 1968, 2004, 2040, 2076, 2113, 2149,
2185, 2221, 2257, 2292, 2328, 2364, 2399, 2434, 2469, 2503,
2537, 2571, 2605, 2638, 2671, 2703, 2735, 2766, 2797, 2827,
2857, 2887, 2915, 2943, 2971, 2998, 3024, 3049, 3074, 3098,
3121, 3144, 3165, 3186, 3206, 3226, 3244, 3262, 3278, 3294,
3309, 3323, 3336, 3348, 3359, 3370, 3379, 3387, 3395, 3401,
3406, 3411, 3414, 3416, 3418, 3418, 3418, 3416, 3413, 3410,
3405, 3399, 3393, 3385, 3376, 3367, 3356, 3345, 3332, 3318,
3304, 3289, 3272, 3255, 3237, 3218, 3198, 3177, 3155, 3133,
3110, 3086, 3061, 3035, 3008, 2981, 2953, 2925, 2896, 2866,
2835, 2804, 2772, 2740, 2707, 2674, 2640, 2606, 2571, 2536,
2500, 2464, 2428, 2392, 2355, 2318, 2280, 2243, 2205, 2167,
2129, 2091, 2053, 2015, 1977, 1938, 1900, 1862, 1824, 1787,
1749, 1712, 1675, 1638, 1601, 1565, 1529, 1493, 1458, 1423,
1389, 1355, 1322, 1289, 1257, 1225, 1194, 1163, 1133, 1104,
1076, 1048, 1021, 995, 969, 945, 921, 898, 876, 854,
834, 815, 796, 779, 762, 746, 732, 718, 705, 694,
683, 674, 665, 658, 651, 646, 642, 638, 636, 635,
635, 636, 639, 642, 646, 652, 658, 666, 675, 685,
695, 707, 720, 734, 749, 765, 782, 800, 819, 839,
860, 882, 905, 928, 953, 978, 1005, 1032, 1060, 1088,
1118, 1148, 1179, 1211, 1243, 1276, 1310, 1344, 1379, 1414,
1450, 1486, 1523, 1560, 1598, 1636, 1674, 1713, 1752, 1791,
1830, 1870, 1910, 1950, 1990, 2030, 2070, 2110, 2151, 2191,
2231, 2271, 2310, 2350, 2389, 2429, 2467, 2506, 2544, 2582,
2619, 2657, 2693, 2729, 2765, 2800, 2834, 2868, 2901, 2934,
2966, 2997, 3028, 3057, 3086, 3114, 3142, 3168, 3194, 3218,
3242, 3265, 3287, 3308, 3327, 3346, 3364, 3381, 3397, 3411,
3425, 3438, 3449, 3459, 3468, 3476, 3483, 3489, 3494, 3497,
3499, 3501, 3501, 3499, 3497, 3493, 3489, 3483, 3476, 3467,
3458, 3448, 3436, 3423, 3409, 3394, 3378, 3361, 3343, 3323,
3303, 3282, 3259, 3236, 3211, 3186, 3160, 3133, 3104, 3075,
3046, 3015, 2983, 2951, 2918, 2884, 2850, 2815, 2779, 2742,
2705, 2668, 2630, 2591, 2552, 2513, 2473, 2432, 2392, 2351,
2309, 2268, 2226, 2184, 2142, 2100, 2058, 2016, 1974, 1931,
1889, 1847, 1805, 1764, 1722, 1681, 1640, 1599, 1559, 1519,
1479, 1440, 1402, 1363, 1326, 1289, 1252, 1217, 1181, 1147,
1113, 1080, 1048, 1017, 986, 957, 928, 900, 873, 847,
822, 798, 775, 753, 732, 712, 694, 676, 660, 644,
630, 617, 605, 595, 586, 577, 570, 565, 560, 557,
555, 554, 555, 557, 560, 564, 570, 576, 584, 594,
604, 616, 629, 643, 658, 675, 693, 711, 731, 752,
775, 798, 822, 848, 874, 902, 930, 960, 990, 1021,
1053, 1086, 1120, 1155, 1190, 1227, 1264, 1301, 1340, 1378,
1418, 1458, 1499, 1540, 1581, 1623, 1666, 1708, 1751, 1795,
1838, 1882, 1926, 1970, 2014, 2059, 2103, 2147, 2191, 2235,
2279, 2323, 2367, 2410, 2453, 2496, 2538, 2580, 2622, 2663,
2704, 2744, 2783, 2822, 2860, 2898, 2935, 2971, 3006, 3041,
3074, 3107, 3139, 3170, 3200, 3229, 3257, 3284, 3310, 3335,
3359, 3382, 3403, 3424, 3443, 3461, 3478, 3493, 3508, 3521,
3532, 3543, 3552, 3560, 3567, 3572, 3576, 3578, 3580, 3579,
3578, 3575, 3571, 3566, 3559, 3551, 3542, 3531, 3519, 3505,
3491, 3475, 3458, 3439, 3420, 3399, 3377, 3354, 3329, 3304,
3277, 3249, 3220, 3190, 3159, 3127, 3095, 3061, 3026, 2990,
2954, 2916, 2878, 2839, 2800, 2759, 2718, 2677, 2635, 2592,
2549, 2505, 2461, 2416, 2371, 2326, 2281, 2235, 2189, 2143,
2097, 2050, 2004, 1958, 1912, 1865, 1819, 1774, 1728, 1683,
1637, 1593, 1548, 1504, 1461, 1418, 1375, 1334, 1292, 1252,
1212, 1173, 1134, 1096, 1060, 1024, 989, 954, 921, 889,
858, 828, 799, 771, 744, 718, 694, 671, 649, 628,
608, 590, 573, 558, 543, 531, 519, 509, 500, 493,
487, 482, 479, 477, 477, 478, 481, 485, 490, 497,
505, 515, 526, 538, 552, 568, 584, 602, 621, 642,
664, 687, 711, 737, 764, 792, 821, 851, 883, 915,
949, 984, 1019, 1056, 1094, 1132, 1171, 1211, 1252, 1294,
1336, 1380, 1423, 1468, 1513, 1558, 1604, 1650, 1697, 1744,
1792, 1839, 1887, 1935, 1983, 2032, 2080, 2128, 2177, 2225,
2273, 2321, 2369, 2416, 2463, 2510, 2556, 2602, 2648, 2692,
2737, 2780, 2824, 2866, 2907, 2948, 2988, 3028, 3066, 3103,
3140, 3175, 3209, 3243, 3275, 3306, 3336, 3365, 3392, 3418,
3443, 3467, 3490, 3511, 3530, 3549, 3566, 3581, 3595, 3608,
3619, 3629, 3637, 3644, 3649, 3653, 3655, 3656, 3655, 3652,
3649, 3643, 3636, 3628, 3618, 3607, 3594, 3580, 3564, 3547,
3528, 3508, 3486, 3464, 3439, 3414, 3387, 3359, 3329, 3299,
3267, 3234, 3200, 3164, 3128, 3091, 3052, 3013, 2972, 2931,
2889, 2846, 2802, 2758, 2712, 2666, 2620, 2573, 2525, 2477,
2429, 2380, 2330, 2281, 2231, 2181, 2131, 2080, 2030, 1979,
1929, 1879, 1829, 1779, 1729, 1679, 1630, 1581, 1533, 1485,
1438, 1391, 1345, 1299, 1254, 1210, 1167, 1124, 1083, 1042,
1002, 963, 925, 889, 853, 818, 785, 753, 722, 693,
664, 637, 612, 587, 564, 543, 523, 505, 487, 472,
458, 446, 435, 425, 418, 411, 407, 404, 403, 403,
405, 408, 413, 420, 428, 438, 450, 463, 477, 493,
511, 530, 551, 573, 597, 622, 648, 676, 705, 736,
768, 801, 836, 871, 908, 946, 985, 1025, 1067, 1109,
1152, 1196, 1241, 1287, 1333, 1381, 1429, 1477, 1526, 1576,
1626, 1677, 1728, 1780, 1831, 1883, 1936, 1988, 2040, 2093,
2145, 2198, 2250, 2302, 2354, 2405, 2457, 2508, 2558, 2608,
2658, 2706, 2755, 2802, 2849, 2895, 2941, 2985, 3028, 3071,
3112, 3153, 3192, 3231, 3268, 3304, 3338, 3372, 3404, 3434,
3464, 3492, 3518, 3543, 3567, 3589, 3609, 3628, 3646, 3661,
3676, 3688, 3699, 3708, 3716, 3721, 3726, 3728, 3729, 3728,
3725, 3721, 3715, 3707, 3697, 3686, 3674, 3659, 3643, 3625,
3606, 3585, 3562, 3538, 3513, 3486, 3457, 3427, 3396, 3363,
3328, 3293, 3256, 3218, 3179, 3138, 3096, 3054, 3010, 2965,
2919, 2873, 2825, 2777, 2728, 2678, 2627, 2576, 2524, 2472,
2419, 2366, 2312, 2258, 2204, 2150, 2096, 2041, 1987, 1932,
1878, 1823, 1769, 1716, 1662, 1609, 1556, 1504, 1452, 1401,
1351, 1301, 1252, 1204, 1156, 1110, 1064, 1019, 976, 933,
892, 852, 813, 775, 739, 704, 670, 638, 607, 578,
550, 524, 499, 476, 455, 435, 417, 400, 385, 372,
361, 352, 344, 338, 334, 331, 331, 332, 335, 340,
346, 355, 365, 377, 390, 406, 423, 442, 462, 485,
509, 534, 561, 590, 620, 652, 686, 720, 756, 794,
833, 873, 915, 957, 1001, 1046, 1092, 1140, 1188, 1237,
1287, 1337, 1389, 1441, 1494, 1548, 1602, 1657, 1712, 1767,
1823, 1879, 1936, 1992, 2049, 2105, 2162, 2218, 2275, 2331,
2387, 2442, 2497, 2552, 2606, 2660, 2713, 2765, 2817, 2867,
2917, 2966, 3014, 3061, 3107, 3152, 3196, 3239, 3280, 3320,
3359, 3396, 3432, 3466, 3499, 3530, 3560, 3588, 3615, 3639,
3662, 3684, 3703, 3721, 3737, 3752, 3764, 3775, 3783, 3790,
3795, 3798, 3799, 3799, 3796, 3792, 3785, 3777, 3767, 3755,
3741, 3725, 3708, 3688, 3667, 3644, 3619, 3593, 3565, 3535,
3504, 3471, 3436, 3400, 3362, 3323, 3283, 3241, 3198, 3153,
3108, 3061, 3013, 2964, 2913, 2862, 2810, 2757, 2704, 2649,
2594, 2538, 2482, 2425, 2368, 2310, 2252, 2194, 2136, 2077,
2018, 1960, 1901, 1843, 1784, 1726, 1669, 1611, 1554, 1498,
1442, 1387, 1333, 1279, 1226, 1174, 1123, 1073, 1024, 976,
929, 884, 840, 797, 755, 715, 676, 639, 603, 569,
536, 506, 476, 449, 423, 400, 377, 357, 339, 323,
308, 295, 285, 276, 269, 265, 262, 261, 262, 266,
271, 278, 287, 298, 311, 327, 344, 363, 383, 406,
431, 457, 485, 515, 547, 580, 615, 652, 690, 730,
772, 814, 859, 904, 951, 999, 1049, 1099, 1151, 1203,
1257, 1312, 1367, 1423, 1480, 1538, 1596, 1655, 1714, 1774,
1834, 1894, 1955, 2015, 2076, 2137, 2198, 2258, 2318, 2378,
2438, 2497, 2556, 2615, 2672, 2729, 2785, 2841, 2895, 2949,
3002, 3053, 3104, 3153, 3201, 3248, 3293, 3337, 3380, 3421,
3460, 3498, 3534, 3569, 3602, 3633, 3662, 3690, 3715, 3739,
3761, 3781, 3798, 3814, 3828, 3840, 3850, 3857, 3863, 3866,
3868, 3867, 3864, 3860, 3853, 3844, 3832, 3819, 3804, 3787,
3767, 3746, 3723, 3698, 3670, 3641, 3610, 3578, 3543, 3507,
3469, 3429, 3388, 3345, 3301, 3255, 3208, 3159, 3109, 3058,
3005, 2952, 2897, 2841, 2785, 2727, 2669, 2610, 2550, 2490,
2429, 2367, 2305, 2243, 2181, 2118, 2055, 1992, 1930, 1867,
1804, 1742, 1680, 1619, 1558, 1497, 1437, 1378, 1320, 1262,
1205, 1149, 1095, 1041, 988, 937, 887, 838, 791, 745,
701, 658, 617, 577, 539, 503, 469, 437, 406, 378,
351, 326, 304, 283, 265, 248, 234, 222, 212, 204,
198, 195, 194, 195, 198, 203, 211, 220, 232, 246,
263, 281, 301, 324, 348, 375, 404, 434, 467, 501,
538, 576, 616, 658, 701, 746, 792, 840, 890, 941,
993, 1047, 1102, 1158, 1215, 1273, 1332, 1392, 1453, 1514,
1577, 1639, 1703, 1767, 1831, 1895, 1960, 2025, 2090, 2154,
2219, 2284, 2348, 2412, 2476, 2539, 2602, 2663, 2725, 2785,
2845, 2903, 2961, 3018, 3073, 3127, 3180, 3232, 3282, 3331,
3378, 3424, 3468, 3510, 3550, 3589, 3626, 3661, 3694, 3725,
3754, 3781, 3806, 3829, 3849, 3868, 3884, 3898, 3910, 3919,
3926, 3931, 3934, 3934, 3932, 3928, 3921, 3912, 3901, 3888,
3872, 3854, 3834, 3811, 3787, 3760, 3731, 3700, 3668, 3633,
3596, 3557, 3516, 3474, 3429, 3383, 3336, 3286, 3235, 3183,
3129, 3074, 3018, 2960, 2901, 2841, 2781, 2719, 2656, 2592,
2528, 2463, 2398, 2332, 2266, 2199, 2133, 2066, 1999, 1932,
1865, 1798, 1732, 1666, 1600, 1535, 1471, 1407, 1344, 1282,
1221, 1160, 1101, 1043, 986, 931, 877, 824, 773, 723,
675, 629, 584, 541, 500, 461, 424, 389, 356, 325,
296, 269, 245, 223, 203, 185, 170, 157, 147, 138,
133, 129, 128, 130, 133, 140, 148, 159, 173, 189,
207, 227, 250, 275, 302, 332, 363, 397, 433, 471,
511, 553, 597, 643, 690, 739, 790, 843, 897, 952,
1009, 1068, 1127, 1188, 1250, 1313, 1377, 1442, 1508, 1574,
1641, 1709, 1777, 1845, 1914, 1983, 2052, 2121, 2190, 2258,
2327, 2395, 2463, 2531, 2597, 2664, 2729, 2794, 2857, 2920,
2981, 3042, 3101, 3159, 3215, 3270, 3324, 3376, 3426, 3474,
3521, 3566, 3608, 3649, 3688, 3725, 3759, 3792, 3822, 3850,
3876, 3899, 3920, 3938, 3954, 3968, 3979, 3988, 3994, 3998,
3999, 3998, 3994, 3987, 3978, 3967, 3953, 3937, 3918, 3897,
3873, 3847, 3819, 3788, 3755, 3720, 3683, 3643, 3602, 3558,
3512, 3465, 3415, 3364, 3311, 3257, 3200, 3143, 3084, 3023,
2961, 2898, 2834, 2768, 2702, 2635, 2567, 2498, 2429, 2359,
2289, 2218, 2147, 2076, 2005, 1934, 1863, 1792, 1722, 1652,
1582, 1513, 1445, 1377, 1310, 1244, 1180, 1116, 1053, 992,
932, 874, 817, 761, 708, 656, 605, 557, 511, 466,
424, 384, 346, 310, 277, 245, 217, 190, 166, 145,
126, 109, 95, 84, 75, 69, 65, 65, 66, 71,
78, 87, 99, 114, 132, 151, 174, 199, 226, 256,
288, 323, 360, 399, 441, 484, 530, 578, 627, 679,
732, 788, 845, 903, 963, 1025, 1088, 1152, 1218, 1285,
1353, 1421, 1491, 1561, 1632, 1704, 1776, 1849, 1922, 1995,
2068, 2141, 2214, 2287, 2360, 2432, 2504, 2575, 2646, 2716,
2785, 2853, 2919, 2985, 3050, 3113, 3175, 3235, 3294, 3351,
3406, 3460, 3512, 3561, 3609, 3655, 3698, 3739, 3778, 3815,
3849, 3881, 3911, 3937, 3962, 3984, 4003, 4019, 4033, 4044,
4053, 4058, 4061, 4061, 4059, 4054, 4046, 4035, 4022, 4006,
3987, 3965, 3941, 3915, 3885, 3854, 3819, 3783, 3744, 3702,
3659, 3613, 3565, 3515, 3462, 3408, 3352, 3294, 3235, 3174,
3111, 3046, 2981, 2914, 2845, 2776, 2706, 2634, 2562, 2489,
2416, 2341, 2267, 2192, 2117, 2041, 1966, 1891, 1816, 1741,
1667, 1593, 1519, 1447, 1375, 1304, 1234, 1165, 1097, 1031,
966, 903, 840, 780, 721, 665, 610, 557, 506, 457,
410, 366, 324, 284, 247, 212, 180, 150, 123, 98,
77, 58, 42, 28, 17, 10, 5, 3, 3, 7,
13, 23, 35, 50, 67, 88, 112, 138, 167, 199,
233, 270, 309, 350, 395, 441, 490, 540, 593, 648,
705, 764, 825, 887, 951, 1017, 1084, 1152, 1222, 1293,
1365, 1438, 1512, 1586, 1661, 1737, 1813, 1890, 1967, 2043,
2120, 2197, 2274, 2350, 2426, 2501, 2576, 2650, 2723, 2796,
2867, 2937, 3006, 3073, 3139, 3203, 3266, 3327, 3387, 3444,
3499, 3553, 3604, 3653, 3700, 3744, 3786, 3826, 3863, 3897,
3929, 3958, 3985, 4008, 4029, 4047, 4062, 4075, 4084, 4091,
4094, 4095, 4093, 4087, 4079, 4068, 4054, 4038, 4018, 3996,
3970, 3942, 3912, 3878, 3842, 3804, 3763, 3719, 3673, 3625,
3574, 3521, 3466, 3409, 3350, 3289, 3227, 3162, 3096, 3029,
2960, 2890, 2818, 2746, 2672, 2598, 2522, 2446, 2370, 2293,
2215, 2138, 2060, 1982, 1904, 1827, 1749, 1672, 1596, 1520,
1445, 1371, 1298, 1226, 1155, 1086, 1018, 951, 886, 823,
761, 701, 643, 587, 534, 482, 433, 386, 342, 300,
260, 223, 189, 158, 129, 103, 80, 60, 42, 28,
17, 8, 3, 0, 1, 4, 11, 20, 33, 48,
66, 88, 112, 139, 168, 201, 236, 274, 315, 358,
403, 451, 502, 554, 609, 666, 725, 786, 849, 913,
980, 1048, 1117, 1188, 1260, 1333, 1407, 1482, 1558, 1635,
1713, 1791, 1869, 1948, 2026, 2105, 2184, 2262, 2341, 2418,
2496, 2572, 2648, 2723, 2797, 2870, 2942, 3012, 3081, 3148,
3214, 3278, 3340, 3400, 3459, 3515, 3569, 3621, 3670, 3717,
3762, 3804, 3843, 3880, 3914, 3945, 3973, 3999, 4021, 4041,
4057, 4071, 4082, 4089, 4094, 4095, 4093, 4089, 4081, 4070,
4056, 4039, 4019, 3997, 3971, 3942, 3911, 3876, 3839, 3800,
3757, 3712, 3665, 3615, 3562, 3508, 3451, 3392, 3331, 3268,
3203, 3137, 3069, 2999, 2928, 2855, 2782, 2707, 2631, 2554,
2477, 2398, 2320, 2240, 2161, 2081, 2002, 1922, 1842, 1763,
1685, 1606, 1529, 1452, 1376, 1301, 1227, 1155, 1084, 1014,
946, 879, 815, 752, 691, 632, 575, 521, 469, 419,
372, 327, 285, 246, 209, 175, 144, 116, 91, 69,
50, 34, 21, 11, 4, 1, 0, 3, 9, 18,
30, 45, 63, 84, 109, 136, 166, 199, 235, 274,
315, 359, 406, 456, 507, 561, 618, 677, 737, 800,
865, 931, 1000, 1070, 1141, 1214, 1288, 1364, 1440, 1517,
1596, 1674, 1754, 1834, 1914, 1995, 2075, 2156, 2236, 2317,
2396, 2475, 2554, 2632, 2709, 2785, 2859, 2933, 3005, 3076,
3145, 3212, 3277, 3341, 3403, 3462, 3520, 3575, 3627, 3678,
3725, 3770, 3813, 3852, 3889, 3923, 3954, 3982, 4007, 4029,
4048, 4064, 4076, 4086, 4092, 4095, 4094, 4091, 4084, 4075,
4062, 4045, 4026, 4004, 3978, 3950, 3918, 3884, 3846, 3806,
3763, 3717, 3669, 3618, 3565, 3509, 3451, 3391, 3328, 3264,
3197, 3129, 3059, 2988, 2915, 2840, 2764, 2688, 2610, 2531,
2452, 2371, 2291, 2210, 2128, 2047, 1965, 1884, 1803, 1722,
1642, 1562, 1483, 1405, 1328, 1252, 1178, 1105, 1033, 963,
894, 828, 763, 701, 640, 582, 526, 472, 421, 373,
327, 284, 244, 207, 172, 141, 113, 88, 65, 46,
31, 18, 9, 3, 0, 1, 5, 12, 22, 36,
53, 73, 96, 122, 152, 184, 220, 258, 299, 344,
391, 440, 492, 547, 604, 664, 725, 789, 855, 923,
992, 1064, 1137, 1211, 1287, 1364, 1442, 1521, 1601, 1682,
1763, 1845, 1927, 2009, 2092, 2174, 2256, 2338, 2420, 2500,
2580, 2660, 2738, 2815, 2891, 2965, 3038, 3110, 3179, 3247,
3313, 3377, 3439, 3498, 3555, 3610, 3662, 3712, 3759, 3803,
3844, 3882, 3917, 3949, 3978, 4004, 4027, 4047, 4063, 4076,
4085, 4092, 4095, 4094, 4091, 4084, 4073, 4059, 4042, 4022,
3998, 3972, 3942, 3909, 3873, 3833, 3791, 3746, 3699, 3648,
3595, 3540, 3481, 3421, 3358, 3293, 3226, 3157, 3087, 3014,
2940, 2865, 2788, 2709, 2630, 2550, 2469, 2387, 2305, 2222,
2139, 2056, 1972, 1889, 1806, 1724, 1642, 1560, 1480, 1400,
1322, 1244, 1168, 1094, 1021, 949, 880, 812, 747, 683,
622, 563, 507, 453, 402, 354, 308, 266, 226, 189,
156, 125, 98, 74, 54, 36, 22, 12, 4, 1,
0, 3, 10, 20, 33, 50, 70, 93, 119, 149,
182, 218, 258, 300, 345, 393, 444, 497, 554, 612,
673, 737, 802, 870, 940, 1011, 1085, 1159, 1236, 1314,
1393, 1473, 1554, 1636, 1719, 1802, 1886, 1970, 2054, 2138,
2222, 2306, 2389, 2472, 2554, 2635, 2715, 2794, 2872, 2949,
3024, 3097, 3168, 3238, 3305, 3371, 3434, 3495, 3554, 3609,
3663, 3713, 3761, 3806, 3847, 3886, 3922, 3954, 3983, 4009,
4032, 4051, 4067, 4079, 4088, 4093, 4095, 4093, 4088, 4080,
4068, 4052, 4033, 4011, 3985, 3956, 3924, 3888, 3850, 3808,
3763, 3715, 3665, 3611, 3555, 3497, 3436, 3372, 3306, 3238,
3168, 3096, 3022, 2947, 2870, 2791, 2712, 2631, 2549, 2466,
2383, 2298, 2214, 2129, 2044, 1959, 1874, 1790, 1706, 1622,
1539, 1457, 1376, 1296, 1218, 1141, 1065, 991, 919, 849,
781, 715, 652, 591, 532, 476, 423, 372, 325, 280,
239, 200, 165, 133, 104, 79, 57, 39, 24, 13,
5, 1, 0, 3, 9, 19, 33, 50, 71, 95,
122, 153, 187, 224, 265, 308, 355, 405, 457, 512,
570, 631, 694, 760, 827, 897, 969, 1043, 1119, 1196,
1274, 1355, 1436, 1518, 1602, 1686, 1771, 1856, 1941, 2027,
2113, 2199, 2284, 2369, 2454, 2538, 2621, 2703, 2784, 2863,
2941, 3018, 3093, 3166, 3237, 3306, 3373, 3437, 3499, 3558,
3615, 3669, 3720, 3769, 3814, 3856, 3894, 3930, 3962, 3991,
4016, 4038, 4057, 4072, 4083, 4090, 4094, 4095, 4091, 4084,
4074, 4060, 4042, 4021, 3996, 3968, 3936, 3901, 3863, 3821,
3776, 3728, 3678, 3624, 3567, 3508, 3446, 3382, 3315, 3246,
3174, 3101, 3026, 2949, 2870, 2790, 2709, 2627, 2543, 2458,
2373, 2287, 2201, 2114, 2028, 1941, 1855, 1768, 1683, 1598,
1513, 1430, 1348, 1267, 1188, 1109, 1033, 959, 886, 816,
747, 681, 618, 557, 499, 443, 391, 341, 295, 251,
211, 174, 141, 111, 84, 61, 42, 26, 14, 6,
1, 0, 3, 9, 19, 33, 51, 72, 96, 124,
156, 191, 230, 272, 317, 365, 416, 470, 527, 587,
650, 715, 782, 852, 924, 998, 1074, 1152, 1232, 1313,
1395, 1478, 1563, 1648, 1734, 1821, 1908, 1996, 2083, 2171,
2258, 2345, 2431, 2517, 2602, 2686, 2768, 2850, 2930, 3008,
3084, 3159, 3232, 3302, 3370, 3436, 3499, 3560, 3618, 3672,
3724, 3773, 3819, 3861, 3900, 3936, 3968, 3997, 4022, 4043,
4061, 4075, 4086, 4092, 4095, 4094, 4089, 4081, 4068, 4052,
4033, 4009, 3982, 3951, 3917, 3880, 3839, 3794, 3747, 3696,
3642, 3585, 3526, 3463, 3398, 3331, 3261, 3189, 3115, 3038,
2960, 2880, 2799, 2716, 2632, 2547, 2461, 2374, 2287, 2199,
2110, 2022, 1934, 1845, 1758, 1670, 1584, 1498, 1414, 1330,
1248, 1167, 1088, 1011, 935, 862, 791, 722, 656, 592,
532, 473, 418, 366, 317, 271, 229, 190, 154, 122,
94, 69, 48, 31, 17, 8, 2, 0, 2, 8,
17, 31, 48, 69, 93, 122, 154, 189, 228, 271,
317, 366, 418, 473, 532, 593, 657, 724, 793, 864,
938, 1014, 1092, 1172, 1253, 1336, 1420, 1505, 1592, 1679,
1767, 1856, 1945, 2034, 2123, 2212, 2301, 2389, 2477, 2564,
2650, 2734, 2818, 2900, 2980, 3059, 3135, 3210, 3282, 3353,
3420, 3485, 3547, 3607, 3663, 3717, 3767, 3814, 3857, 3897,
3934, 3967, 3996, 4022, 4044, 4062, 4076, 4086, 4093, 4095,
4093, 4088, 4079, 4066, 4049, 4028, 4003, 3974, 3942, 3906,
3867, 3824, 3778, 3728, 3675, 3619, 3560, 3498, 3434, 3366,
3296, 3224, 3149, 3072, 2994, 2913, 2831, 2747, 2662, 2575,
2488, 2400, 2311, 2221, 2132, 2042, 1952, 1862, 1772, 1683,
1595, 1508, 1421, 1336, 1252, 1170, 1090, 1011, 934, 860,
787, 717, 650, 586, 524, 465, 409, 357, 308, 262,
219, 180, 145, 114, 86, 62, 42, 26, 13, 5,
1, 0, 4, 12, 23, 39, 58, 82, 109, 140,
175, 213, 255, 301, 350, 402, 457, 516, 578, 642,
709, 779, 852, 926, 1003, 1082, 1163, 1246, 1330, 1416,
1503, 1591, 1680, 1769, 1859, 1950, 2041, 2132, 2222, 2313,
2402, 2491, 2580, 2667, 2753, 2838, 2921, 3002, 3082, 3159,
3234, 3307, 3378, 3446, 3511, 3573, 3632, 3688, 3741, 3790,
3837, 3879, 3918, 3953, 3985, 4012, 4036, 4056, 4071, 4083,
4091, 4095, 4094, 4090, 4081, 4069, 4052, 4032, 4007, 3979,
3947, 3911, 3871, 3828, 3781, 3730, 3677, 3620, 3560, 3496,
3430, 3362, 3290, 3216, 3140, 3062, 2981, 2899, 2815, 2729,
2642, 2554, 2465, 2375, 2284, 2193, 2101, 2010, 1918, 1827,
1736, 1646, 1556, 1468, 1381, 1294, 1210, 1127, 1046, 967,
890, 816, 744, 674, 608, 544, 483, 425, 371, 320,
272, 228, 188, 151, 119, 90, 65, 44, 27, 14,
5, 1, 0, 4, 12, 24, 40, 60, 84, 112,
144, 180, 219, 263, 309, 360, 414, 471, 531, 595,
661, 731, 803, 877, 954, 1033, 1114, 1197, 1282, 1368,
1456, 1545, 1635, 1726, 1818, 1910, 2002, 2094, 2187, 2279,
2370, 2461, 2551, 2640, 2728, 2815, 2900, 2983, 3064, 3144,
3221, 3295, 3367, 3437, 3503, 3567, 3628, 3685, 3739, 3789,
3836, 3879, 3919, 3955, 3986, 4014, 4038, 4058, 4073, 4085,
4092, 4095, 4094, 4088, 4079, 4065, 4047, 4025, 3999, 3969,
3935, 3897, 3855, 3810, 3761, 3708, 3652, 3592, 3530, 3464,
3396, 3324, 3250, 3174, 3095, 3014, 2931, 2846, 2759, 2671,
2582, 2492, 2400, 2308, 2215, 2122, 2029, 1936, 1843, 1751,
1659, 1568, 1478, 1389, 1301, 1215, 1131, 1048, 968, 890,
814, 741, 670, 602, 538, 476, 418, 363, 312, 264,
220, 180, 143, 111, 83, 58, 38, 22, 11, 3,
0, 1, 7, 16, 30, 48, 71, 97, 127, 162,
201, 243, 289, 339, 392, 449, 509, 573, 640, 709,
781, 856, 934, 1014, 1096, 1180, 1266, 1354, 1443, 1533,
1624, 1717, 1810, 1903, 1997, 2091, 2185, 2278, 2372, 2464,
2556, 2646, 2735, 2823, 2910, 2994, 3076, 3157, 3234, 3310,
3383, 3453, 3520, 3583, 3644, 3701, 3755, 3805, 3852, 3894,
3933, 3968, 3998, 4025, 4047, 4065, 4079, 4089, 4094, 4095,
4091, 4083, 4071, 4055, 4034, 4009, 3980, 3947, 3909, 3868,
3823, 3774, 3721, 3665, 3605, 3542, 3476, 3407, 3335, 3260,
3182, 3102, 3020, 2936, 2850, 2762, 2672, 2582, 2490, 2397,
2303, 2209, 2114, 2020, 1925, 1831, 1737, 1643, 1551, 1459,
1369, 1280, 1193, 1108, 1025, 944, 865, 789, 715, 645,
577, 513, 451, 394, 340, 289, 242, 199, 160, 126,
95, 68, 46, 28, 15, 6, 1, 0, 4, 13,
26, 43, 65, 90, 120, 155, 193, 235, 282, 332,
386, 443, 504, 568, 636, 706, 780, 856, 935, 1016,
1100, 1185, 1273, 1362, 1452, 1544, 1637, 1731, 1826, 1921,
2017, 2112, 2208, 2303, 2397, 2491, 2584, 2675, 2765, 2854,
2941, 3026, 3109, 3190, 3268, 3343, 3416, 3486, 3552, 3615,
3675, 3731, 3784, 3833, 3878, 3919, 3956, 3988, 4017, 4041,
4060, 4076, 4087, 4093, 4095, 4092, 4085, 4074, 4058, 4038,
4013, 3984, 3950, 3913, 3871, 3826, 3776, 3723, 3666, 3605,
3541, 3474, 3403, 3330, 3253, 3174, 3093, 3009, 2923, 2835,
2746, 2654, 2562, 2468, 2374, 2278, 2182, 2086, 1990, 1894,
1798, 1703, 1608, 1515, 1422, 1331, 1242, 1154, 1068, 985,
904, 825, 749, 676, 606, 539, 475, 415, 359, 306,
257, 213, 172, 135, 103, 75, 51, 32, 17, 7,
1, 0, 4, 12, 24, 41, 63, 89, 119, 154,
192, 235, 283, 334, 388, 447, 509, 575, 644, 716,
791, 869, 949, 1032, 1117, 1205, 1294, 1385, 1477, 1571,
1666, 1761, 1858, 1955, 2052, 2149, 2245, 2342, 2437, 2532,
2626, 2718, 2809, 2899, 2986, 3071, 3154, 3235, 3312, 3387,
3459, 3528, 3594, 3656, 3714, 3769, 3819, 3866, 3909, 3947,
3981, 4011, 4036, 4057, 4074, 4085, 4092, 4095, 4093, 4086,
4075, 4059, 4038, 4013, 3984, 3950, 3912, 3869, 3823, 3772,
3718, 3659, 3597, 3532, 3463, 3391, 3316, 3238, 3157, 3074,
2988, 2900, 2810, 2719, 2626, 2532, 2436, 2340, 2243, 2145,
2047, 1950, 1852, 1755, 1659, 1563, 1469, 1376, 1284, 1194,
1106, 1020, 937, 856, 778, 702, 630, 561, 495, 433,
375, 320, 270, 223, 181, 142, 109, 79, 55, 34,
19, 8, 2, 0, 3, 11, 24, 41, 63, 89,
120, 155, 195, 239, 287, 339, 395, 455, 519, 586,
656, 730, 807, 886, 969, 1054, 1141, 1230, 1321, 1414,
1508, 1604, 1700, 1798, 1896, 1994, 2093, 2191, 2289, 2387,
2484, 2579, 2674, 2767, 2858, 2948, 3035, 3121, 3203, 3283,
3361, 3435, 3506, 3573, 3637, 3698, 3754, 3807, 3855, 3900,
3939, 3975, 4006, 4033, 4054, 4072, 4084, 4092, 4095, 4093,
4087, 4075, 4059, 4039, 4013, 3983, 3949, 3910, 3866, 3819,
3767, 3711, 3652, 3588, 3521, 3451, 3377, 3300, 3220, 3138,
3053, 2965, 2875, 2784, 2690, 2596, 2499, 2402, 2304, 2205,
2106, 2007, 1908, 1809, 1711, 1613, 1517, 1421, 1328, 1236,
1145, 1057, 971, 888, 808, 730, 655, 584, 516, 452,
392, 335, 283, 234, 190, 151, 115, 85, 59, 37,
21, 9, 2, 0, 3, 10, 23, 40, 62, 89,
120, 156, 196, 241, 290, 343, 400, 462, 527, 595,
667, 743, 821, 902, 986, 1073, 1162, 1253, 1346, 1441,
1537, 1634, 1733, 1832, 1931, 2031, 2131, 2231, 2330, 2429,
2527, 2623, 2719, 2812, 2904, 2994, 3082, 3167, 3249, 3329,
3405, 3479, 3549, 3615, 3677, 3736, 3791, 3841, 3887, 3929,
3966, 3999, 4027, 4050, 4069, 4082, 4091, 4095, 4094, 4088,
4077, 4061, 4040, 4015, 3985, 3950, 3910, 3866, 3818, 3766,
3709, 3648, 3584, 3515, 3444, 3368, 3290, 3209, 3124, 3037,
2948, 2857, 2764, 2668, 2572, 2474, 2375, 2275, 2175, 2074,
1974, 1873, 1773, 1674, 1575, 1478, 1381, 1287, 1194, 1104,
1015, 930, 847, 766, 689, 615, 545, 478, 416, 357,
302, 251, 205, 163, 126, 93, 66, 43, 25, 11,
3, 0, 2, 9, 20, 37, 59, 85, 116, 152,
193, 238, 287, 341, 399, 461, 527, 597, 670, 746,
826, 909, 995, 1083, 1173, 1266, 1360, 1457, 1554, 1653,
1753, 1854, 1955, 2057, 2158, 2259, 2360, 2460, 2558, 2656,
2752, 2847, 2939, 3029, 3117, 3202, 3285, 3364, 3440, 3513,
3582, 3648, 3709, 3766, 3819, 3868, 3912, 3952, 3987, 4017,
4043, 4063, 4078, 4089, 4094, 4095, 4090, 4080, 4065, 4045,
4021, 3991, 3957, 3917, 3874, 3825, 3773, 3716, 3654, 3589,
3520, 3448, 3371, 3292, 3210, 3124, 3036, 2946, 2853, 2758,
2661, 2563, 2464, 2363, 2262, 2160, 2058, 1956, 1854, 1753,
1652, 1552, 1454, 1357, 1262, 1168, 1077, 988, 902, 819,
738, 661, 588, 518, 452, 390, 332, 278, 229, 184,
144, 109, 78, 53, 32, 17, 6, 1, 1, 5,
16, 31, 51, 76, 106, 141, 181, 226, 275, 328,
386, 448, 514, 584, 658, 735, 815, 899, 985, 1075,
1166, 1260, 1356, 1453, 1553, 1653, 1754, 1856, 1959, 2062,
2165, 2267, 2369, 2470, 2570, 2669, 2766, 2862, 2955, 3046,
3135, 3221, 3304, 3383, 3460, 3532, 3601, 3667, 3728, 3784,
3837, 3885, 3928, 3966, 4000, 4028, 4052, 4070, 4084, 4092,
4095, 4093, 4085, 4073, 4055, 4032, 4004, 3972, 3934, 3891,
3844, 3792, 3736, 3675, 3610, 3542, 3469, 3393, 3313, 3230,
3145, 3056, 2965, 2871, 2775, 2678, 2578, 2478, 2376, 2274,
2170, 2067, 1963, 1860, 1757, 1655, 1554, 1454, 1356, 1259,
1164, 1072, 982, 895, 811, 730, 652, 578, 508, 441,
379, 321, 268, 219, 174, 135, 100, 71, 46, 27,
13, 4, 0, 2, 9, 21, 38, 61, 88, 121,
159, 201, 249, 301, 357, 418, 483, 552, 625, 702,
782, 866, 952, 1042, 1134, 1228, 1324, 1423, 1523, 1624,
1727, 1830, 1934, 2038, 2142, 2246, 2350, 2452, 2554, 2655,
2753, 2850, 2945, 3038, 3128, 3215, 3299, 3380, 3458, 3532,
3602, 3668, 3729, 3787, 3840, 3888, 3931, 3970, 4003, 4032,
4055, 4073, 4085, 4093, 4095, 4092, 4083, 4069, 4050, 4025,
3996, 3961, 3921, 3877, 3827, 3773, 3715, 3652, 3585, 3513,
3438, 3360, 3278, 3192, 3104, 3013, 2919, 2823, 2725, 2625,
2524, 2421, 2318, 2213, 2108, 2004, 1899, 1794, 1690, 1588,
1486, 1386, 1287, 1191, 1096, 1005, 916, 830, 747, 667,
592, 520, 452, 388, 328, 274, 223, 178, 138, 102,
72, 47, 27, 13, 4, 0, 2, 9, 22, 40,
63, 91, 125, 164, 208, 256, 310, 368, 430, 497,
568, 643, 721, 803, 889, 977, 1069, 1163, 1259, 1357,
1458, 1559, 1663, 1767, 1872, 1977, 2083, 2188, 2294, 2398,
2502, 2604, 2705, 2804, 2901, 2996, 3089, 3178, 3265, 3348,
3428, 3505, 3577, 3645, 3709, 3769, 3824, 3874, 3920, 3960,
3995, 4025, 4050, 4069, 4083, 4092, 4095, 4093, 4085, 4071,
4053, 4028, 3999, 3964, 3924, 3879, 3830, 3775, 3716, 3652,
3584, 3512, 3435, 3356, 3272, 3185, 3096, 3003, 2908, 2810,
2711, 2609, 2506, 2402, 2297, 2191, 2085, 1979, 1873, 1767,
1662, 1558, 1456, 1354, 1255, 1158, 1064, 972, 883, 797,
714, 635, 560, 489, 422, 359, 301, 248, 200, 156,
118, 85, 57, 35, 18, 7, 1, 1, 6, 17,
33, 55, 82, 115, 152, 195, 243, 296, 354, 416,
483, 554, 629, 708, 791, 877, 966, 1058, 1153, 1251,
1350, 1452, 1555, 1659, 1765, 1871, 1978, 2085, 2192, 2298,
2404, 2509, 2613, 2715, 2815, 2913, 3009, 3102, 3193, 3280,
3364, 3444, 3520, 3593, 3661, 3725, 3784, 3838, 3888, 3932,
3972, 4006, 4034, 4057, 4075, 4087, 4094, 4095, 4090, 4080,
4064, 4042, 4015, 3983, 3945, 3902, 3854, 3801, 3743, 3680,
3613, 3542, 3466, 3387, 3304, 3217, 3127, 3035, 2939, 2841,
2741, 2638, 2535, 2429, 2323, 2216, 2109, 2001, 1893, 1786,
1680, 1574, 1470, 1368, 1267, 1169, 1072, 979, 889, 801,
718, 637, 561, 489, 421, 358, 299, 246, 197, 153,
115, 82, 55, 33, 16, 5, 0, 1, 7, 19,
37, 60, 89, 124, 163, 208, 258, 313, 373, 438,
507, 580, 658, 739, 824, 912, 1004, 1099, 1196, 1295,
1397, 1501, 1606, 1712, 1819, 1927, 2036, 2144, 2252, 2360,
2466, 2572, 2676, 2778, 2878, 2976, 3072, 3164, 3253, 3339,
3422, 3500, 3575, 3645, 3710, 3771, 3827, 3879, 3925, 3965,
4001, 4031, 4055, 4073, 4086, 4093, 4095, 4090, 4080, 4064,
4043, 4016, 3983, 3945, 3901, 3852, 3798, 3740, 3676, 3608,
3535, 3458, 3377, 3293, 3204, 3113, 3018, 2921, 2821, 2720,
2616, 2510, 2403, 2296, 2187, 2078, 1969, 1860, 1752, 1645,
1538, 1433, 1330, 1229, 1130, 1034, 941, 850, 764, 680,
601, 526, 455, 389, 327, 270, 219, 172, 131, 95,
65, 41, 22, 9, 2, 0, 5, 15, 31, 53,
81, 114, 152, 197, 246, 301, 360, 425, 494, 567,
645, 727, 812, 901, 994, 1089, 1188, 1288, 1391, 1496,
1602, 1710, 1818, 1928, 2037, 2147, 2256, 2365, 2473, 2580,
2685, 2788, 2890, 2988, 3084, 3178, 3268, 3354, 3437, 3515,
3590, 3660, 3725, 3786, 3841, 3892, 3937, 3976, 4011, 4039,
4062, 4078, 4089, 4095, 4094, 4087, 4075, 4056, 4032, 4002,
3966, 3925, 3878, 3826, 3769, 3707, 3640, 3569, 3493, 3413,
3329, 3241, 3150, 3055, 2958, 2858, 2755, 2651, 2545, 2437,
2328, 2218, 2108, 1998, 1888, 1778, 1669, 1561, 1454, 1350,
1247, 1146, 1049, 954, 862, 774, 689, 608, 532, 460,
392, 330, 272, 220, 172, 131, 95, 64, 40, 21,
8, 1, 0, 5, 17, 34, 56, 85, 120, 160,
205, 256, 313, 374, 440, 511, 587, 667, 751, 838,
929, 1024, 1121, 1222, 1324, 1429, 1536, 1644, 1753, 1864,
1974, 2085, 2196, 2307, 2417, 2525, 2632, 2738, 2842, 2943,
3041, 3137, 3229, 3318, 3404, 3485, 3562, 3634, 3702, 3765,
3823, 3876, 3923, 3965, 4001, 4032, 4056, 4075, 4087, 4094,
4094, 4089, 4077, 4060, 4036, 4007, 3972, 3931, 3884, 3832,
3775, 3712, 3645, 3573, 3496, 3416, 3331, 3242, 3149, 3054,
2955, 2854, 2750, 2644, 2537, 2428, 2317, 2206, 2095, 1983,
1872, 1761, 1651, 1542, 1434, 1329, 1225, 1124, 1026, 930,
838, 750, 665, 585, 509, 437, 371, 309, 253, 201,
156, 116, 82, 53, 31, 15, 4, 0, 2, 10,
24, 45, 71, 103, 141, 185, 234, 289, 349, 414,
484, 558, 638, 721, 808, 900, 994, 1092, 1193, 1296,
1401, 1509, 1618, 1728, 1840, 1952, 2064, 2176, 2288, 2399,
2509, 2618, 2725, 2830, 2933, 3033, 3130, 3223, 3314, 3400,
3483, 3561, 3634, 3703, 3766, 3825, 3878, 3926, 3968, 4004,
4034, 4058, 4077, 4089, 4094, 4094, 4088, 4075, 4056, 4031,
4000, 3963, 3921, 3872, 3818, 3759, 3695, 3625, 3551, 3472,
3389, 3302, 3210, 3116, 3018, 2917, 2814, 2708, 2600, 2491,
2380, 2268, 2155, 2042, 1929, 1817, 1705, 1594, 1485, 1377,
1271, 1168, 1067, 969, 875, 784, 697, 614, 535, 461,
392, 328, 269, 216, 168, 126, 90, 60, 36, 18,
6, 0, 1, 8, 21, 41, 67, 98, 136, 179,
229, 284, 344, 409, 480, 555, 635, 719, 808, 900,
996, 1095, 1196, 1301, 1408, 1517, 1627, 1739, 1851, 1965,
2078, 2192, 2305, 2417, 2528, 2638, 2746, 2852, 2955, 3056,
3153, 3247, 3337, 3423, 3506, 3583, 3656, 3724, 3787, 3844,
3896, 3942, 3982, 4016, 4045, 4067, 4082, 4092, 4095, 4092,
4082, 4066, 4044, 4016, 3982, 3941, 3895, 3843, 3785, 3723,
3654, 3581, 3503, 3421, 3334, 3243, 3149, 3051, 2950, 2846,
2740, 2631, 2521, 2409, 2296, 2183, 2068, 1954, 1840, 1727,
1615, 1504, 1394, 1287, 1182, 1080, 981, 885, 792, 704,
620, 540, 465, 395, 330, 270, 216, 168, 126, 89,
59, 35, 17, 5, 0, 2, 9, 23, 44, 71,
104, 143, 188, 238, 295, 357, 424, 497, 574, 656,
742, 833, 927, 1025, 1126, 1230, 1336, 1445, 1556, 1668,
1781, 1895, 2010, 2125, 2240, 2354, 2467, 2579, 2689, 2797,
2903, 3006, 3106, 3203, 3296, 3385, 3470, 3550, 3626, 3697,
3762, 3822, 3877, 3926, 3969, 4005, 4036, 4060, 4078, 4090,
4095, 4093, 4085, 4071, 4050, 4023, 3990, 3950, 3905, 3853,
3796, 3733, 3665, 3592, 3514, 3431, 3344, 3252, 3157, 3058,
2957, 2852, 2744, 2635, 2523, 2410, 2296, 2181, 2066, 1950,
1835, 1720, 1607, 1495, 1384, 1276, 1170, 1067, 967, 871,
778, 690, 605, 525, 450, 381, 316, 257, 204, 157,
115, 80, 51, 29, 13, 3, 0, 4, 14, 30,
53, 83, 119, 160, 208, 262, 322, 387, 458, 533,
614, 699, 788, 882, 979, 1079, 1183, 1290, 1399, 1510,
1623, 1737, 1852, 1968, 2084, 2200, 2316, 2430, 2544, 2656,
2766, 2873, 2978, 3080, 3179, 3274, 3365, 3452, 3534, 3612,
3684, 3751, 3813, 3869, 3919, 3964, 4001, 4033, 4058, 4077,
4089, 4095, 4094, 4086, 4072, 4051, 4023, 3990, 3950, 3903,
3851, 3793, 3729, 3660, 3586, 3506, 3422, 3334, 3241, 3144,
3044, 2940, 2834, 2725, 2614, 2501, 2386, 2271, 2154, 2037,
1921, 1804, 1689, 1575, 1462, 1351, 1242, 1136, 1033, 933,
837, 745, 657, 573, 494, 421, 352, 290, 233, 181,
136, 97, 65, 39, 20, 7, 1, 1, 8, 22,
43, 70, 103, 143, 190, 242, 300, 364, 433, 508,
588, 672, 762, 855, 952, 1053, 1157, 1264, 1374, 1486,
1599, 1714, 1831, 1948, 2065, 2182, 2299, 2415, 2530, 2644,
2755, 2864, 2970, 3074, 3174, 3270, 3362, 3450, 3533, 3612,
3685, 3753, 3815, 3871, 3922, 3966, 4004, 4035, 4060, 4079,
4090, 4095, 4093, 4084, 4069, 4047, 4018, 3982, 3941, 3893,
3839, 3779, 3713, 3642, 3565, 3484, 3397, 3306, 3211, 3113,
3010, 2905, 2796, 2685, 2572, 2457, 2341, 2224, 2106, 1988,
1870, 1753, 1637, 1522, 1409, 1297, 1189, 1083, 981, 882,
786, 696, 609, 527, 451, 380, 314, 254, 200, 152,
110, 75, 47, 25, 10, 2, 0, 6, 18, 37,
63, 95, 134, 179, 231, 288, 352, 421, 496, 575,
660, 750, 843, 941, 1043, 1148, 1256, 1366, 1479, 1594,
1710, 1828, 1946, 2065, 2183, 2301, 2418, 2534, 2649, 2761,
2871, 2979, 3083, 3183, 3280, 3373, 3461, 3545, 3623, 3696,
3764, 3826, 3882, 3931, 3975, 4012, 4042, 4065, 4082, 4092,
4095, 4091, 4080, 4063, 4038, 4007, 3969, 3925, 3874, 3817,
3754, 3686, 3612, 3532, 3448, 3358, 3265, 3167, 3065, 2960,
2852, 2741, 2628, 2513, 2396, 2278, 2159, 2040, 1921, 1802,
1684, 1567, 1452, 1339, 1228, 1121, 1016, 915, 817, 724,
635, 551, 472, 399, 331, 268, 212, 163, 119, 82,
52, 29, 12, 3, 0, 4, 16, 34, 59, 91,
130, 175, 226, 284, 348, 418, 493, 573, 659, 749,
844, 943, 1045, 1151, 1261, 1372, 1487, 1603, 1720, 1839,
1959, 2079, 2198, 2318, 2436, 2553, 2668, 2781, 2892, 3000,
3104, 3205, 3302, 3395, 3483, 3566, 3644, 3716, 3783, 3843,
3898, 3946, 3988, 4023, 4051, 4072, 4087, 4094, 4094, 4087,
4074, 4053, 4025, 3991, 3950, 3902, 3848, 3787, 3721, 3649,
3571, 3488, 3400, 3307, 3211, 3110, 3005, 2897, 2786, 2672,
2557, 2439, 2320, 2201, 2080, 1960, 1840, 1720, 1602, 1485,
1370, 1258, 1148, 1041, 938, 839, 744, 653, 567, 486,
411, 341, 278, 220, 169, 124, 86, 55, 31, 13,
3, 0, 4, 15, 33, 59, 91, 130, 175, 227,
286, 350, 421, 497, 579, 666, 757, 853, 954, 1058,
1165, 1276, 1389, 1505, 1623, 1742, 1862, 1983, 2104, 2224,
2345, 2464, 2582, 2698, 2811, 2922, 3030, 3135, 3235, 3332,
3424, 3511, 3594, 3670, 3741, 3806, 3865, 3918, 3964, 4003,
4036, 4061, 4080, 4091, 4095, 4092, 4082, 4064, 4040, 4008,
3970, 3925, 3873, 3815, 3750, 3680, 3603, 3522, 3435, 3343,
3247, 3146, 3042, 2934, 2823, 2709, 2593, 2475, 2355, 2234,
2113, 1991, 1870, 1749, 1629, 1511, 1394, 1280, 1169, 1060,
955, 854, 758, 665, 578, 496, 419, 348, 283, 225,
172, 127, 88, 56, 31, 14, 3, 0, 4, 15,
34, 60, 92, 132, 179, 232, 291, 357, 429, 507,
590, 678, 771, 869, 971, 1077, 1186, 1298, 1413, 1530,
1649, 1770, 1892, 2014, 2136, 2258, 2379, 2499, 2617, 2734,
2848, 2959, 3067, 3171, 3271, 3367, 3458, 3545, 3625, 3700,
3770, 3833, 3890, 3940, 3983, 4020, 4049, 4071, 4086, 4094,
4094, 4087, 4073, 4051, 4023, 3987, 3944, 3895, 3838, 3776,
3707, 3632, 3552, 3466, 3375, 3279, 3179, 3075, 2967, 2855,
2741, 2624, 2505, 2385, 2263, 2141, 2018, 1895, 1773, 1652,
1532, 1414, 1298, 1185, 1076, 969, 867, 768, 675, 586,
503, 425, 353, 287, 227, 174, 128, 89, 56, 31,
13, 3, 0, 4, 16, 35, 62, 95, 136, 184,
238, 299, 366, 440, 519, 603, 693, 788, 888, 991,
1099, 1210, 1324, 1441, 1560, 1680, 1802, 1925, 2049, 2172,
2295, 2417, 2538, 2657, 2773, 2887, 2999, 3106, 3210, 3309,
3404, 3494, 3579, 3658, 3732, 3799, 3860, 3914, 3961, 4002,
4035, 4061, 4080, 4091, 4095, 4091, 4080, 4062, 4036, 4003,
3962, 3915, 3861, 3800, 3733, 3660, 3580, 3495, 3405, 3310,
3210, 3106, 2998, 2887, 2772, 2655, 2536, 2414, 2292, 2168,
2044, 1920, 1797, 1674, 1553, 1433, 1316, 1202, 1090, 982,
878, 779, 684, 594, 509, 430, 357, 290, 229, 176,
129, 89, 56, 31, 13, 3, 0, 5, 17, 37,
64, 99, 140, 189, 245, 307, 375, 450, 531, 618,
709, 806, 907, 1013, 1122, 1235, 1350, 1469, 1589, 1711,
1835, 1959, 2084, 2208, 2332, 2455, 2576, 2696, 2813, 2927,
3038, 3145, 3248, 3347, 3441, 3530, 3613, 3690, 3762, 3827,
3885, 3937, 3981, 4019, 4049, 4071, 4087, 4094, 4094, 4086,
4071, 4048, 4018, 3980, 3935, 3884, 3825, 3759, 3688, 3610,
3526, 3437, 3343, 3243, 3140, 3032, 2920, 2806, 2688, 2568,
2446, 2323, 2198, 2073, 1948, 1823, 1699, 1576, 1456, 1337,
1221, 1108, 998, 893, 791, 695, 603, 517, 437, 363,
294, 233, 178, 131, 90, 57, 31, 13, 3, 0,
5, 18, 38, 66, 101, 143, 193, 250, 313, 383,
459, 542, 629, 723, 821, 924, 1031, 1142, 1256, 1374,
1494, 1616, 1739, 1864, 1990, 2115, 2241, 2366, 2489, 2611,
2731, 2848, 2963, 3073, 3180, 3283, 3381, 3474, 3562, 3643,
3719, 3789, 3852, 3908, 3957, 3999, 4033, 4060, 4079, 4091,
4095, 4091, 4079, 4060, 4033, 3999, 3957, 3908, 3851, 3788,
3719, 3643, 3560, 3473, 3379, 3281, 3178, 3071, 2959, 2845,
2727, 2606, 2484, 2360, 2234, 2108, 1982, 1856, 1730, 1606,
1484, 1363, 1246, 1131, 1020, 912, 809, 711, 618, 530,
448, 372, 303, 240, 184, 135, 93, 59, 33, 14,
3, 0, 5, 17, 37, 65, 101, 144, 194, 252,
316, 387, 464, 547, 637, 731, 831, 935, 1044, 1156,
1272, 1391, 1512, 1635, 1760, 1887, 2013, 2140, 2267, 2393,
2517, 2640, 2760, 2878, 2992, 3103, 3210, 3312, 3409, 3502,
3588, 3669, 3743, 3811, 3872, 3926, 3973, 4013, 4045, 4069,
4085, 4094, 4094, 4087, 4072, 4049, 4018, 3980, 3934, 3881,
3821, 3754, 3680, 3600, 3514, 3422, 3325, 3224, 3117, 3006,
2892, 2774, 2654, 2531, 2406, 2280, 2153, 2026, 1898, 1771,
1646, 1521, 1399, 1280, 1163, 1050, 940, 835, 735, 639,
549, 465, 387, 316, 251, 193, 143, 100, 64, 36,
16, 4, 0, 4, 16, 35, 63, 98, 141, 191,
249, 313, 385, 462, 546, 636, 732, 832, 938, 1047,
1161, 1278, 1398, 1520, 1645, 1771, 1899, 2027, 2155, 2282,
2409, 2534, 2658, 2779, 2897, 3012, 3123, 3230, 3332, 3429,
3521, 3607, 3687, 3761, 3828, 3888, 3940, 3985, 4023, 4053,
4075, 4089, 4095, 4093, 4083, 4065, 4039, 4005, 3963, 3914,
3858, 3794, 3724, 3647, 3563, 3474, 3379, 3279, 3174, 3064,
2951, 2834, 2713, 2591, 2466, 2339, 2211, 2083, 1954, 1826,
1698, 1572, 1448, 1326, 1207, 1092, 980, 872, 769, 671,
579, 492, 411, 337, 270, 209, 156, 111, 73, 43,
20, 6, 0, 2, 12, 31, 57, 91, 133, 183,
239, 304, 375, 452, 536, 626, 722, 823, 929, 1039,
1153, 1271, 1392, 1516, 1642, 1769, 1897, 2026, 2156, 2284,
2412, 2539, 2663, 2785, 2904, 3020, 3131, 3239, 3342, 3439,
3531, 3617, 3697, 3771, 3837, 3896, 3948, 3992, 4029, 4058,
4078, 4091, 4095, 4091, 4079, 4059, 4031, 3995, 3951, 3899,
3840, 3774, 3701, 3621, 3535, 3443, 3345, 3242, 3135, 3023,
2907, 2788, 2665, 2540, 2414, 2285, 2156, 2026, 1897, 1768,
1640, 1513, 1389, 1268, 1149, 1034, 924, 817, 716, 620,
530, 446, 368, 297, 233, 177, 128, 86, 53, 28,
10, 1, 1, 8, 24, 48, 80, 120, 167, 223,
285, 355, 432, 515, 604, 699, 800, 906, 1016, 1131,
1249, 1370, 1495, 1621, 1749, 1879, 2009, 2139, 2269, 2398,
2526, 2652, 2775, 2895, 3012, 3125, 3234, 3338, 3436, 3529,
3616, 3697, 3771, 3838, 3897, 3950, 3994, 4031, 4059, 4079,
4091, 4095, 4090, 4077, 4056, 4027, 3989, 3944, 3891, 3830,
3763, 3688, 3606, 3518, 3424, 3325, 3220, 3111, 2997, 2879,
2758, 2634, 2507, 2379, 2249, 2119, 1988, 1857, 1727, 1599,
1472, 1347, 1226, 1108, 993, 883, 778, 678, 583, 495,
413, 337, 269, 207, 154, 108, 70, 40, 18, 5,
0, 3, 15, 36, 64, 101, 145, 198, 258, 325,
399, 481, 568, 662, 762, 866, 976, 1090, 1208, 1330,
1454, 1581, 1710, 1840, 1971, 2102, 2234, 2364, 2493, 2621,
2746, 2868, 2986, 3101, 3212, 3318, 3418, 3513, 3602, 3684,
3760, 3828, 3890, 3943, 3989, 4027, 4056, 4078, 4091, 4095,
4091, 4078, 4058, 4028, 3991, 3945, 3892, 3831, 3763, 3687,
3605, 3516, 3421, 3321, 3215, 3104, 2989, 2870, 2748, 2622,
2494, 2365, 2234, 2102, 1970, 1838, 1708, 1578, 1451, 1326,
1204, 1085, 971, 861, 756, 656, 562, 474, 393, 319,
251, 192, 140, 96, 60, 32, 13, 2, 0, 7,
22, 45, 77, 117, 165, 220, 284, 355, 433, 518,
609, 706, 809, 917, 1029, 1146, 1267, 1391, 1518, 1647,
1778, 1909, 2042, 2174, 2306, 2437, 2566, 2694, 2818, 2939,
3057, 3170, 3278, 3382, 3479, 3571, 3657, 3735, 3807, 3871,
3927, 3976, 4017, 4049, 4073, 4088, 4095, 4093, 4082, 4063,
4036, 4000, 3956, 3903, 3843, 3776, 3701, 3619, 3531, 3436,
3335, 3229, 3118, 3003, 2883, 2760, 2634, 2505, 2375, 2243,
2110, 1977, 1844, 1712, 1582, 1453, 1327, 1204, 1085, 969,
858, 752, 652, 558, 469, 388, 313, 246, 187, 135,
92, 56, 29, 11, 2, 1, 8, 25, 50, 83,
125, 175, 233, 299, 372, 452, 539, 632, 732, 837,
947, 1062, 1181, 1303, 1429, 1558, 1689, 1821, 1954, 2088,
2221, 2354, 2485, 2615, 2742, 2866, 2987, 3104, 3216, 3323,
3425, 3521, 3611, 3694, 3770, 3838, 3899, 3952, 3997, 4034,
4062, 4082, 4093, 4095, 4088, 4073, 4049, 4016, 3975, 3926,
3868, 3803, 3731, 3651, 3564, 3471, 3371, 3266, 3156, 3041,
2922, 2798, 2672, 2543, 2412, 2279, 2146, 2011, 1877, 1744,
1612, 1482, 1354, 1230, 1108, 991, 878, 771, 669, 572,
482, 399, 323, 254, 193, 140, 96, 59, 32, 12,
2, 0, 8, 24, 49, 82, 124, 174, 232, 299,
372, 453, 541, 635, 736, 842, 953, 1069, 1190, 1314,
1441, 1571, 1703, 1836, 1971, 2105, 2240, 2373, 2506, 2636,
2764, 2888, 3009, 3126, 3238, 3345, 3447, 3542, 3631, 3713,
3788, 3855, 3915, 3966, 4009, 4043, 4069, 4086, 4094, 4093,
4084, 4065, 4038, 4002, 3958, 3905, 3844, 3776, 3699, 3616,
3526, 3429, 3327, 3218, 3105, 2987, 2865, 2739, 2611, 2479,
2346, 2212, 2077, 1942, 1807, 1673, 1541, 1411, 1284, 1160,
1040, 925, 814, 709, 609, 516, 430, 350, 278, 214,
158, 110, 70, 39, 17, 4, 0, 5, 18, 41,
72, 112, 161, 218, 283, 355, 435, 522, 616, 716,
822, 934, 1050, 1170, 1295, 1423, 1553, 1686, 1820, 1956,
2092, 2227, 2362, 2495, 2627, 2756, 2882, 3004, 3122, 3235,
3343, 3445, 3542, 3631, 3714, 3789, 3857, 3916, 3968, 4011,
4045, 4070, 4087, 4094, 4093, 4082, 4063, 4035, 3997, 3951,
3897, 3835, 3764, 3687, 3601, 3509, 3411, 3306, 3196, 3081,
2961, 2837, 2710, 2579, 2447, 2312, 2176, 2040, 1904, 1768,
1634, 1501, 1371, 1244, 1121, 1001, 886, 776, 672, 574,
483, 398, 321, 252, 190, 137, 92, 56, 29, 10,
1, 1, 10, 28, 55, 91, 136, 189, 250, 320,
397, 482, 573, 671, 775, 885, 1000, 1120, 1244, 1372,
1502, 1635, 1770, 1906, 2043, 2180, 2316, 2451, 2584, 2715,
2843, 2967, 3087, 3203, 3313, 3418, 3517, 3609, 3694, 3772,
3842, 3904, 3957, 4002, 4039, 4066, 4085, 4094, 4094, 4085,
4067, 4039, 4003, 3958, 3904, 3842, 3772, 3695, 3609, 3517,
3418, 3313, 3203, 3087, 2966, 2842, 2713, 2582, 2448, 2313,
2176, 2039, 1901, 1765, 1629, 1496, 1365, 1237, 1113, 992,
877, 767, 663, 565, 473, 389, 312, 243, 182, 130,
86, 51, 25, 8, 0, 2, 13, 33, 62, 101,
148, 203, 267, 339, 419, 506, 600, 701, 808, 920,
1038, 1160, 1286, 1415, 1548, 1683, 1819, 1957, 2095, 2232,
2369, 2504, 2638, 2769, 2896, 3020, 3139, 3253, 3362, 3465,
3561, 3650, 3733, 3807, 3874, 3932, 3982, 4023, 4054, 4077,
4091, 4095, 4090, 4075, 4052, 4019, 3977, 3927, 3868, 3800,
3725, 3642, 3551, 3454, 3350, 3241, 3126, 3006, 2881, 2753,
2622, 2488, 2351, 2214, 2076, 1937, 1799, 1663, 1528, 1395,
1265, 1139, 1017, 900, 788, 681, 581, 488, 402, 323,
252, 190, 136, 91, 54, 27, 9, 1, 2, 12,
31, 60, 98, 145, 201, 265, 337, 418, 505, 600,
702, 809, 923, 1041, 1164, 1292, 1422, 1556, 1692, 1829,
1968, 2107, 2246, 2384, 2520, 2654, 2785, 2913, 3037, 3156,
3271, 3379, 3482, 3578, 3667, 3748, 3821, 3887, 3944, 3992,
4031, 4061, 4081, 4093, 4095, 4087, 4070, 4043, 4008, 3963,
3909, 3847, 3776, 3698, 3612, 3518, 3418, 3311, 3199, 3081,
2958, 2831, 2701, 2567, 2431, 2293, 2154, 2015, 1875, 1737,
1600, 1465, 1332, 1203, 1078, 958, 842, 732, 628, 531,
441, 358, 283, 216, 158, 109, 68, 37, 15, 3,
0, 7, 23, 49, 84, 128, 181, 243, 313, 391,
477, 571, 671, 778, 890, 1008, 1131, 1258, 1389, 1523,
1660, 1798, 1937, 2077, 2217, 2356, 2494, 2630, 2762, 2892,
3017, 3138, 3254, 3365, 3469, 3566, 3657, 3740, 3814, 3881,
3939, 3988, 4028, 4059, 4081, 4092, 4095, 4087, 4070, 4044,
4008, 3963, 3909, 3846, 3775, 3696, 3608, 3514, 3413, 3305,
3191, 3072, 2948, 2820, 2688, 2553, 2416, 2277, 2137, 1996,
1856, 1717, 1579, 1443, 1310, 1181, 1056, 935, 820, 710,
607, 510, 421, 340, 266, 201, 145, 97, 59, 30,
11, 1, 1, 11, 30, 59, 97, 145, 201, 267,
340, 422, 512, 608, 712, 822, 938, 1059, 1184, 1314,
1447, 1584, 1722, 1862, 2003, 2144, 2284, 2424, 2561, 2697,
2829, 2957, 3082, 3201, 3315, 3422, 3524, 3618, 3705, 3784,
3854, 3916, 3970, 4014, 4048, 4074, 4089, 4095, 4091, 4077,
4054, 4021, 3979, 3927, 3867, 3798, 3720, 3635, 3542, 3441,
3334, 3221, 3103, 2979, 2851, 2719, 2584, 2446, 2306, 2165,
2024, 1882, 1742, 1603, 1466, 1331, 1200, 1074, 951, 834,
723, 618, 520, 430, 347, 272, 206, 148, 100, 61,
31, 11, 1, 1, 11, 30, 59, 97, 145, 202,
268, 343, 425, 516, 614, 718, 830, 947, 1069, 1196,
1327, 1462, 1599, 1739, 1880, 2022, 2164, 2305, 2445, 2584,
2719, 2852, 2981, 3105, 3224, 3337, 3445, 3545, 3638, 3724,
3802, 3871, 3931, 3982, 4024, 4056, 4079, 4092, 4095, 4088,
4071, 4044, 4008, 3962, 3907, 3843, 3771, 3690, 3601, 3504,
3401, 3290, 3174, 3053, 2926, 2795, 2661, 2524, 2384, 2242,
2100, 1958, 1815, 1674, 1535, 1398, 1265, 1135, 1010, 889,
774, 666, 564, 469, 382, 303, 233, 171, 119, 75,
42, 18, 4, 0, 6, 22, 48, 83, 128, 183,
246, 318, 399, 488, 584, 688, 798, 914, 1036, 1163,
1294, 1429, 1566, 1706, 1848, 1991, 2134, 2277, 2418, 2558,
2695, 2830, 2960, 3086, 3207, 3322, 3431, 3533, 3628, 3715,
3794, 3864, 3926, 3978, 4021, 4054, 4078, 4091, 4095, 4088,
4072, 4045, 4009, 3963, 3908, 3843, 3770, 3688, 3599, 3501,
3397, 3285, 3168, 3045, 2918, 2786, 2650, 2512, 2371, 2228,
2085, 1941, 1798, 1656, 1516, 1379, 1245, 1115, 989, 869,
754, 646, 545, 451, 365, 287, 218, 158, 108, 66,
35, 13, 2, 1, 9, 28, 57, 96, 144, 202,
268, 344, 428, 520, 620, 726, 840, 959, 1083, 1213,
1346, 1483, 1623, 1765, 1908, 2052, 2196, 2340, 2481, 2621,
2758, 2891, 3021, 3145, 3264, 3377, 3483, 3582, 3674, 3757,
3833, 3899, 3956, 4003, 4041, 4069, 4087, 4095, 4092, 4080,
4057, 4024, 3982, 3930, 3868, 3797, 3718, 3631, 3535, 3432,
3322, 3206, 3084, 2957, 2825, 2690, 2551, 2410, 2267, 2122,
1978, 1833, 1690, 1549, 1410, 1274, 1142, 1015, 892, 776,
666, 562, 467, 379, 299, 228, 166, 114, 71, 38,
15, 3, 0, 8, 26, 54, 93, 141, 198, 265,
341, 425, 517, 617, 725, 839, 959, 1084, 1214, 1349,
1487, 1628, 1771, 1915, 2060, 2205, 2349, 2492, 2632, 2770,
2904, 3034, 3158, 3277, 3390, 3496, 3595, 3687, 3769, 3844,
3909, 3965, 4011, 4047, 4073, 4089, 4095, 4090, 4075, 4050,
4015, 3970, 3915, 3851, 3777, 3695, 3605, 3507, 3401, 3288,
3170, 3045, 2915, 2782, 2644, 2503, 2360, 2216, 2070, 1925,
1780, 1636, 1495, 1356, 1221, 1089, 963, 842, 728, 620,
519, 426, 341, 265, 198, 140, 92, 54, 26, 8,
0, 3, 16, 40, 74, 118, 171, 234, 307, 388,
478, 575, 680, 793, 911, 1035, 1165, 1299, 1436, 1577,
1721, 1865, 2011, 2157, 2303, 2447, 2589, 2729, 2865, 2997,
3124, 3245, 3361, 3470, 3571, 3665, 3750, 3827, 3895, 3953,
4002, 4040, 4069, 4087, 4095, 4092, 4079, 4055, 4021, 3977,
3924, 3860, 3787, 3706, 3616, 3518, 3412, 3299, 3180, 3055,
2925, 2791, 2652, 2511, 2367, 2221, 2075, 1929, 1783, 1638,
1495, 1356, 1219, 1088, 961, 839, 724, 615, 514, 421,
336, 260, 193, 136, 88, 50, 23, 6, 0, 4,
19, 44, 80, 125, 181, 246, 320, 403, 495, 595,
702, 816, 937, 1063, 1195, 1330, 1470, 1612, 1757, 1903,
2050, 2197, 2344, 2488, 2631, 2770, 2906, 3037, 3164, 3284,
3398, 3505, 3605, 3696, 3779, 3853, 3918, 3973, 4018, 4053,
4077, 4091, 4095, 4088, 4070, 4042, 4003, 3954, 3896, 3828,
3750, 3664, 3569, 3467, 3357, 3240, 3117, 2989, 2855, 2718,
2577, 2433, 2287, 2140, 1992, 1845, 1699, 1554, 1412, 1274,
1139, 1009, 885, 766, 654, 550, 453, 365, 285, 214,
153, 102, 61, 31, 10, 1, 2, 14, 36, 69,
112, 166, 229, 301, 383, 474, 572, 679, 792, 912,
1038, 1170, 1306, 1446, 1589, 1734, 1881, 2029, 2177, 2324,
2470, 2614, 2755, 2892, 3025, 3152, 3274, 3389, 3498, 3598,
3691, 3775, 3850, 3916, 3971, 4017, 4052, 4077, 4091, 4095,
4088, 4070, 4041, 4002, 3952, 3893, 3824, 3746, 3658, 3562,
3459, 3347, 3229, 3105, 2975, 2841, 2702, 2559, 2414, 2267,
2119, 1970, 1822, 1675, 1530, 1388, 1249, 1114, 984, 860,
742, 631, 528, 432, 345, 267, 198, 139, 90, 52,
24, 7, 0, 4, 19, 45, 82, 128, 185, 252,
328, 414, 508, 610, 720, 836, 960, 1089, 1223, 1361,
1503, 1648, 1796, 1944, 2093, 2242, 2390, 2536, 2679, 2819,
2955, 3086, 3212, 3332, 3444, 3550, 3647, 3736, 3816, 3886,
3947, 3998, 4038, 4068, 4087, 4095, 4092, 4078, 4054, 4019,
3973, 3917, 3851, 3776, 3691, 3598, 3496, 3387, 3271, 3147,
3019, 2884, 2746, 2604, 2458, 2311, 2162, 2012, 1863, 1715,
1568, 1424, 1283, 1147, 1015, 888, 768, 655, 549, 451,
362, 281, 210, 149, 98, 58, 28, 9, 0, 3,
17, 41, 77, 123, 179, 245, 321, 406, 500, 602,
712, 829, 953, 1083, 1217, 1357, 1500, 1645, 1794, 1943,
2093, 2243, 2392, 2538, 2683, 2824, 2960, 3092, 3218, 3338,
3451, 3557, 3654, 3743, 3822, 3892, 3953, 4003, 4042, 4070,
4088, 4095, 4091, 4075, 4049, 4012, 3964, 3907, 3839, 3761,
3674, 3578, 3474, 3363, 3244, 3119, 2988, 2852, 2711, 2567,
2420, 2271, 2121, 1971, 1821, 1672, 1525, 1381, 1240, 1104,
973, 848, 729, 618, 514, 418, 331, 254, 186, 128,
81, 44, 19, 4, 0, 8, 26, 55, 96, 146,
208, 279, 359, 449, 548, 655, 769, 890, 1018, 1151,
1289, 1431, 1577, 1725, 1875, 2026, 2176, 2327, 2475, 2622,
2765, 2905, 3039, 3169, 3292, 3409, 3518, 3619, 3711, 3795,
3869, 3933, 3987, 4030, 4062, 4084, 4094, 4093, 4081, 4058,
4024, 3979, 3924, 3858, 3782, 3697, 3603, 3500, 3390, 3272,
3147, 3017, 2881, 2740, 2596, 2449, 2299, 2148, 1997, 1846,
1695, 1547, 1402, 1260, 1122, 990, 863, 743, 629, 524,
427, 339, 260, 191, 132, 84, 46, 20, 4, 0,
7, 25, 55, 95, 146, 208, 279, 360, 451, 550,
658, 773, 896, 1024, 1159, 1298, 1441, 1588, 1737, 1888,
2040, 2192, 2343, 2492, 2639, 2783, 2923, 3058, 3187, 3310,
3426, 3535, 3635, 3727, 3809, 3882, 3944, 3996, 4038, 4068,
4087, 4095, 4091, 4077, 4051, 4013, 3966, 3907, 3838, 3759,
3671, 3574, 3468, 3355, 3234, 3107, 2973, 2835, 2692, 2546,
2397, 2246, 2094, 1941, 1789, 1639, 1491, 1346, 1204, 1068,
937, 812, 694, 583, 481, 387, 302, 227, 162, 108,
65, 32, 11, 1, 2, 15, 39, 74, 120, 177,
245, 322, 409, 505, 610, 723, 843, 970, 1103, 1241,
1384, 1530, 1679, 1830, 1983, 2136, 2288, 2439, 2588, 2734,
2876, 3014, 3146, 3272, 3391, 3503, 3606, 3701, 3787, 3863,
3928, 3983, 4028, 4061, 4083, 4094, 4093, 4081, 4057, 4022,
3977, 3920, 3853, 3775, 3688, 3592, 3487, 3374, 3254, 3127,
2993, 2855, 2712, 2565, 2415, 2263, 2110, 1957, 1804, 1653,
1503, 1357, 1215, 1077, 945, 818, 699, 588, 484, 389,
304, 228, 163, 108, 65, 32, 11, 1, 2, 16,
40, 76, 123, 181, 249, 328, 416, 514, 620, 734,
855, 984, 1118, 1258, 1402, 1549, 1700, 1852, 2006, 2160,
2313, 2465, 2614, 2760, 2903, 3040, 3172, 3297, 3415, 3526,
3628, 3722, 3806, 3879, 3943, 3996, 4038, 4068, 4087, 4095,
4091, 4075, 4048, 4010, 3960, 3900, 3829, 3748, 3657, 3557,
3449, 3332, 3209, 3078, 2942, 2801, 2656, 2507, 2355, 2202,
2048, 1893, 1740, 1588, 1439, 1294, 1152, 1016, 886, 762,
645, 537, 437, 346, 265, 194, 134, 84, 46, 19,
4, 0, 8, 28, 59, 101, 155, 219, 294, 379,
473, 576, 688, 808, 934, 1067, 1206, 1349, 1496, 1647,
1800, 1954, 2109, 2263, 2417, 2568, 2716, 2860, 3000, 3134,
3262, 3384, 3497, 3602, 3699, 3785, 3862, 3929, 3985, 4029,
4062, 4084, 4094, 4093, 4079, 4054, 4018, 3970, 3911, 3841,
3761, 3671, 3572, 3465, 3349, 3225, 3095, 2959, 2817, 2671,
2522, 2369, 2215, 2060, 1905, 1750, 1598, 1448, 1301, 1158,
1021, 890, 765, 648, 538, 438, 346, 265, 194, 133,
83, 45, 19, 4, 0, 9, 29, 61, 105, 159,
225, 301, 387, 483, 588, 701, 822, 951, 1085, 1225,
1370, 1519, 1671, 1825, 1980, 2136, 2291, 2445, 2597, 2745,
2889, 3029, 3163, 3290, 3410, 3523, 3626, 3721, 3806, 3881,
3945, 3998, 4040, 4070, 4088, 4095, 4090, 4073, 4044, 4003,
3952, 3889, 3815, 3731, 3638, 3535, 3424, 3304, 3177, 3044,
2905, 2760, 2612, 2460, 2306, 2151, 1994, 1839, 1684, 1531,
1382, 1236, 1095, 959, 830, 708, 594, 488, 391, 304,
228, 161, 106, 62, 30, 9, 0, 4, 19, 46,
85, 135, 196, 268, 351, 443, 545, 656, 775, 901,
1034, 1173, 1317, 1466, 1617, 1772, 1928, 2084, 2241, 2396,
2549, 2700, 2846, 2988, 3124, 3255, 3378, 3493, 3599, 3697,
3785, 3863, 3930, 3986, 4031, 4064, 4085, 4095, 4092, 4077,
4050, 4012, 3962, 3901, 3829, 3746, 3653, 3551, 3440, 3321,
3195, 3061, 2922, 2777, 2629, 2476, 2322, 2165, 2008, 1851,
1695, 1542, 1391, 1244, 1102, 966, 835, 712, 597, 490,
393, 305, 228, 161, 106, 61, 29, 9, 0, 4,
20, 47, 87, 138, 201, 274, 358, 452, 555, 667,
787, 915, 1050, 1190, 1336, 1485, 1638, 1794, 1951, 2109,
2266, 2422, 2576, 2726, 2873, 3015, 3151, 3280, 3402, 3516,
3622, 3718, 3804, 3880, 3945, 3998, 4041, 4071, 4089, 4095,
4089, 4071, 4040, 3998, 3945, 3880, 3804, 3717, 3621, 3515,
3401, 3279, 3149, 3012, 2870, 2723, 2572, 2418, 2261, 2104,
1946, 1788, 1632, 1479, 1329, 1183, 1042, 908, 780, 659,
547, 444, 351, 267, 194, 133, 82, 44, 17, 3,
1, 11, 33, 67, 113, 171, 240, 319, 409, 509,
618, 736, 861, 994, 1133, 1277, 1426, 1579, 1735, 1892,
2051, 2209, 2366, 2522, 2675, 2824, 2968, 3107, 3239, 3365,
3482, 3591, 3690, 3780, 3859, 3928, 3985, 4030, 4064, 4085,
4095, 4092, 4076, 4049, 4009, 3958, 3895, 3821, 3736, 3641,
3537, 3423, 3301, 3172, 3036, 2894, 2747, 2595, 2441, 2284,
2125, 1966, 1808, 1651, 1496, 1345, 1197, 1055, 919, 790,
668, 555, 451, 356, 272, 198, 135, 84, 45, 18,
3, 1, 10, 33, 67, 114, 172, 241, 322, 412,
513, 623, 742, 869, 1002, 1142, 1288, 1438, 1592, 1749,
1907, 2067, 2226, 2384, 2540, 2694, 2843, 2987, 3126, 3258,
3383, 3500, 3608, 3706, 3795, 3873, 3939, 3995, 4038, 4069,
4088, 4095, 4089, 4071, 4040, 3998, 3943, 3877, 3800, 3712,
3614, 3506, 3390, 3265, 3133, 2994, 2850, 2700, 2547, 2390,
2232, 2072, 1912, 1753, 1596, 1442, 1291, 1145, 1004, 870,
742, 623, 513, 412, 320, 240, 170, 112, 66, 32,
10, 0, 4, 19, 47, 88, 140, 204, 279, 365,
462, 568, 683, 806, 938, 1076, 1219, 1368, 1522, 1678,
1837, 1997, 2157, 2317, 2475, 2630, 2782, 2930, 3071, 3207,
3336, 3456, 3568, 3671, 3764, 3846, 3917, 3977, 4025, 4060,
4083, 4094, 4092, 4078, 4051, 4012, 3960, 3897, 3823, 3737,
3642, 3536, 3421, 3298, 3167, 3029, 2885, 2736, 2582, 2425,
2266, 2106, 1945, 1785, 1626, 1470, 1318, 1170, 1027, 891,
762, 641, 528, 425, 332, 250, 178, 118, 70, 35,
11, 1, 3, 17, 45, 84, 136, 199, 274, 360,
457, 563, 679, 803, 934, 1073, 1218, 1367, 1522, 1679,
1838, 1999, 2161, 2321, 2480, 2636, 2789, 2937, 3079, 3215,
3344, 3465, 3577, 3679, 3772, 3853, 3924, 3982, 4029, 4064,
4085, 4095, 4091, 4075, 4046, 4005, 3951, 3886, 3809, 3721,
3623, 3515, 3398, 3273, 3139, 2999, 2853, 2702, 2547, 2389,
2229, 2067, 1906, 1745, 1586, 1430, 1278, 1130, 989, 854,
726, 607, 496, 396, 305, 226, 158, 101, 57, 25,
6, 0, 7, 26, 58, 102, 159, 227, 307, 398,
499, 609, 729, 857, 993, 1135, 1283, 1435, 1592, 1751,
1912, 2074, 2236, 2397, 2556, 2711, 2862, 3008, 3149, 3282,
3407, 3524, 3632, 3730, 3817, 3893, 3957, 4010, 4050, 4078,
4092, 4094, 4083, 4059, 4023, 3974, 3913, 3841, 3756, 3662,
3557, 3442, 3319, 3188, 3049, 2904, 2754, 2600, 2441, 2281,
2119, 1956, 1794, 1633, 1476, 1321, 1172, 1028, 890, 759,
637, 524, 420, 326, 244, 172, 113, 66, 31, 9,
0, 4, 21, 51, 93, 148, 214, 293, 382, 482,
592, 711, 839, 974, 1116, 1264, 1417, 1574, 1734, 1896,
2059, 2222, 2383, 2543, 2700, 2852, 2999, 3141, 3275, 3402,
3520, 3628, 3727, 3815, 3892, 3957, 4009, 4050, 4078, 4092,
4094, 4083, 4059, 4022, 3972, 3910, 3837, 3752, 3656, 3550,
3434, 3309, 3177, 3037, 2891, 2739, 2584, 2424, 2262, 2099,
1936, 1773, 1612, 1454, 1299, 1150, 1005, 868, 738, 617,
504, 402, 310, 229, 160, 102, 57, 25, 6, 0,
7, 27, 60, 105, 164, 234, 315, 408, 512, 625,
747, 878, 1016, 1160, 1311, 1466, 1625, 1787, 1950, 2114,
2277, 2439, 2599, 2755, 2906, 3052, 3192, 3324, 3448, 3563,
3669, 3764, 3848, 3920, 3980, 4028, 4063, 4086, 4095, 4091,
4074, 4043, 4000, 3945, 3877, 3797, 3707, 3605, 3494, 3373,
3243, 3106, 2962, 2812, 2658, 2499, 2337, 2174, 2009, 1845,
1683, 1522, 1365, 1212, 1065, 924, 790, 664, 548, 441,
344, 258, 184, 122, 72, 35, 11, 1, 3, 19,
48, 89, 144, 210, 289, 379, 480, 591, 711, 840,
977, 1121, 1270, 1425, 1584, 1746, 1910, 2075, 2239, 2403,
2564, 2721, 2875, 3023, 3164, 3299, 3425, 3543, 3650, 3748,
3834, 3909, 3972, 4022, 4059, 4083, 4094, 4092, 4076, 4048,
4006, 3952, 3885, 3806, 3716, 3614, 3503, 3382, 3253, 3116,
2971, 2821, 2666, 2506, 2344, 2179, 2014, 1849, 1685, 1524,
1366, 1213, 1064, 923, 788, 662, 545, 438, 341, 255,
181, 119, 70, 34, 10, 0, 4, 21, 51, 94,
150, 218, 298, 390, 493, 605, 727, 858, 997, 1142,
1294, 1450, 1610, 1774, 1939, 2104, 2270, 2433, 2595, 2753,
2906, 3053, 3194, 3328, 3453, 3569, 3675, 3770, 3854, 3926,
3986, 4033, 4067, 4088, 4095, 4089, 4069, 4037, 3991, 3932,
3861, 3778, 3684, 3579, 3464, 3339, 3206, 3066, 2918, 2765,
2608, 2446, 2282, 2116, 1950, 1785, 1621, 1460, 1303, 1150,
1004, 865, 733, 610, 496, 393, 301, 220, 151, 95,
51, 21, 4, 0, 10, 34, 71, 121, 183, 258,
345, 443, 552, 670, 798, 934, 1077, 1227, 1382, 1542,
1705, 1870, 2036, 2203, 2368, 2531, 2692, 2848, 2998, 3142,
3280, 3409, 3528, 3639, 3738, 3826, 3903, 3967, 4019, 4057,
4082, 4094, 4092, 4077, 4048, 4005, 3950, 3882, 3802, 3710,
3608, 3494, 3372, 3240, 3100, 2954, 2801, 2644, 2482, 2318,
2151, 1984, 1818, 1653, 1490, 1331, 1177, 1029, 888, 754,
629, 513, 408, 313, 230, 159, 101, 56, 24, 5,
0, 9, 31, 67, 116, 178, 252, 339, 437, 545,
664, 792, 928, 1072, 1222, 1378, 1538, 1702, 1868, 2035,
2203, 2369, 2533, 2694, 2851, 3002, 3147, 3284, 3414, 3534,
3644, 3743, 3832, 3908, 3972, 4022, 4060, 4084, 4095, 4091,
4074, 4044, 4000, 3943, 3873, 3791, 3697, 3592, 3477, 3352,
3219, 3077, 2929, 2774, 2615, 2452, 2286, 2119, 1951, 1784,
1618, 1456, 1297, 1144, 996, 856, 723, 600, 486, 382,
290, 210, 142, 87, 45, 17, 2, 1, 14, 41,
81, 134, 201, 279, 370, 472, 585, 707, 839, 979,
1126, 1279, 1437, 1600, 1766, 1933, 2101, 2269, 2436, 2600,
2760, 2915, 3065, 3207, 3342, 3468, 3584, 3690, 3785, 3868,
3939, 3997, 4042, 4073, 4091, 4095, 4085, 4061, 4023, 3972,
3908, 3831, 3743, 3642, 3531, 3410, 3280, 3141, 2995, 2842,
2684, 2522, 2356, 2188, 2020, 1851, 1684, 1519, 1358, 1202,
1051, 907, 771, 643, 525, 418, 321, 236, 164, 104,
57, 25, 5, 0, 9, 31, 68, 117, 180, 256,
344, 444, 554, 675, 805, 943, 1089, 1242, 1400, 1562,
1728, 1896, 2065, 2234, 2402, 2567, 2729, 2886, 3038, 3182,
3319, 3447, 3566, 3674, 3771, 3857, 3930, 3990, 4037, 4070,
4089, 4095, 4086, 4064, 4027, 3978, 3914, 3838, 3750, 3650,
3539, 3418, 3288, 3149, 3002, 2849, 2691, 2527, 2361, 2193,
2023, 1854, 1686, 1520, 1358, 1201, 1049, 905, 768, 640,
522, 414, 317, 232, 160, 101, 55, 23, 5, 0,
10, 34, 72, 123, 188, 265, 355, 456, 568, 691,
823, 963, 1111, 1265, 1425, 1589, 1756, 1925, 2095, 2265,
2433, 2598, 2760, 2917, 3068, 3212, 3347, 3474, 3591, 3698,
3793, 3876, 3946, 4003, 4047, 4076, 4092, 4094, 4082, 4055,
4015, 3961, 3893, 3813, 3721, 3617, 3502, 3378, 3243, 3101,
2952, 2796, 2635, 2469, 2301, 2131, 1961, 1791, 1623, 1458,
1297, 1141, 991, 849, 715, 590, 475, 372, 280, 200,
133, 79, 39, 13, 1, 3, 20, 50, 95, 153,
224, 308, 404, 511, 629, 757, 894, 1039, 1191, 1349,
1512, 1679, 1848, 2019, 2190, 2359, 2527, 2691, 2851, 3006,
3153, 3293, 3424, 3546, 3657, 3757, 3845, 3921, 3983, 4032,
4067, 4088, 4095, 4087, 4066, 4030, 3980, 3917, 3840, 3751,
3651, 3539, 3416, 3284, 3144, 2995, 2840, 2680, 2515, 2346,
2176, 2005, 1834, 1664, 1497, 1334, 1176, 1025, 880, 743,
616, 498, 392, 297, 214, 144, 88, 45, 16, 2,
2, 16, 45, 87, 143, 213, 296, 391, 497, 615,
742, 879, 1024, 1176, 1334, 1498, 1665, 1835, 2006, 2178,
2349, 2517, 2683, 2844, 2999, 3148, 3289, 3421, 3543, 3655,
3756, 3845, 3921, 3983, 4032, 4068, 4088, 4095, 4087, 4065,
4028, 3978, 3913, 3836, 3746, 3644, 3531, 3407, 3274, 3132,
2982, 2826, 2664, 2498, 2328, 2157, 1985, 1813, 1643, 1476,
1313, 1155, 1003, 859, 723, 596, 480, 375, 281, 201,
133, 79, 38, 12, 1, 4, 21, 53, 99, 158,
231, 317, 416, 526, 646, 777, 917, 1064, 1219, 1380,
1545, 1714, 1885, 2058, 2230, 2401, 2570, 2735, 2895, 3049,
3196, 3334, 3464, 3583, 3692, 3789, 3874, 3945, 4003, 4047,
4077, 4093, 4094, 4080, 4052, 4009, 3953, 3883, 3800, 3704,
3597, 3478, 3350, 3212, 3065, 2912, 2752, 2587, 2419, 2247,
2075, 1902, 1730, 1560, 1394, 1232, 1077, 928, 787, 655,
533, 422, 323, 236, 162, 101, 54, 22, 4, 1,
12, 38, 78, 132, 200, 282, 376, 482, 599, 726,
863, 1009, 1162, 1321, 1486, 1654, 1826, 1999, 2172, 2345,
2515, 2682, 2845, 3002, 3152, 3294, 3427, 3550, 3662, 3763,
3852, 3927, 3989, 4037, 4071, 4090, 4095, 4085, 4060, 4020,
3967, 3900, 3819, 3725, 3620, 3503, 3376, 3239, 3093, 2940,
2781, 2616, 2447, 2275, 2102, 1928, 1755, 1584, 1417, 1254,
1097, 946, 804, 670, 546, 434, 332, 244, 168, 106,
58, 24, 5, 0, 11, 36, 75, 129, 197, 278,
372, 478, 596, 724, 861, 1008, 1161, 1321, 1487, 1656,
1828, 2002, 2177, 2350, 2521, 2689, 2852, 3009, 3159, 3302,
3435, 3558, 3670, 3770, 3858, 3933, 3994, 4041, 4074, 4091,
4094, 4082, 4056, 4014, 3959, 3889, 3807, 3711, 3603, 3484,
3355, 3216, 3068, 2913, 2752, 2585, 2415, 2242, 2068, 1893,
1720, 1548, 1381, 1218, 1062, 912, 771, 639, 518, 407,
309, 223, 150, 91, 47, 17, 2, 2, 17, 46,
90, 149, 221, 307, 405, 516, 637, 769, 910, 1060,
1217, 1380, 1548, 1719, 1893, 2068, 2243, 2416, 2587, 2754,
2915, 3071, 3219, 3358, 3488, 3607, 3714, 3810, 3893, 3962,
4017, 4058, 4084, 4095, 4091, 4072, 4038, 3989, 3927, 3850,
3761, 3659, 3544, 3419, 3284, 3140, 2988, 2829, 2664, 2494,
2322, 2147, 1971, 1796, 1623, 1453, 1287, 1127, 974, 829,
692, 566, 450, 346, 255, 177, 112, 62, 26, 6,
0, 10, 34, 73, 127, 195, 277, 372, 479, 597,
727, 866, 1014, 1169, 1331, 1498, 1669, 1844, 2019, 2195,
2370, 2542, 2711, 2875, 3033, 3183, 3325, 3458, 3580, 3691,
3790, 3876, 3948, 4007, 4051, 4080, 4094, 4093, 4076, 4045,
3999, 3938, 3864, 3776, 3675, 3562, 3438, 3304, 3160, 3008,
2849, 2684, 2514, 2341, 2166, 1989, 1813, 1639, 1468, 1301,
1140, 985, 838, 701, 573, 456, 351, 259, 180, 114,
63, 27, 6, 0, 9, 34, 73, 127, 196, 278,
373, 481, 600, 731, 871, 1019, 1176, 1339, 1507, 1679,
1855, 2031, 2208, 2383, 2556, 2725, 2889, 3047, 3198, 3340,
3472, 3593, 3704, 3801, 3886, 3957, 4014, 4056, 4083, 4094,
4091, 4072, 4038, 3990, 3926, 3849, 3758, 3655, 3539, 3412,
3275, 3129, 2975, 2814, 2647, 2475, 2301, 2124, 1947, 1770,
1596, 1425, 1259, 1098, 945, 800, 664, 539, 425, 323,
234, 158, 97, 51, 19, 2, 1, 16, 45, 90,
149, 223, 310, 410, 523, 647, 781, 925, 1078, 1238,
1404, 1575, 1749, 1926, 2103, 2280, 2456, 2628, 2796, 2958,
3114, 3261, 3400, 3528, 3645, 3750, 3842, 3921, 3986, 4035,
4071, 4090, 4095, 4084, 4057, 4016, 3959, 3888, 3804, 3706,
3595, 3473, 3340, 3197, 3046, 2887, 2721, 2551, 2377, 2200,
2022, 1845, 1668, 1495, 1326, 1162, 1005, 856, 716, 586,
467, 360, 265, 184, 118, 65, 28, 6, 0, 9,
34, 74, 128, 198, 281, 378, 487, 608, 740, 883,
1033, 1192, 1357, 1528, 1702, 1879, 2057, 2235, 2412, 2586,
2756, 2921, 3079, 3229, 3370, 3501, 3621, 3729, 3824, 3906,
3974, 4027, 4065, 4088, 4095, 4087, 4063, 4023, 3969, 3900,
3817, 3720, 3611, 3490, 3358, 3216, 3065, 2906, 2740, 2570,
2395, 2218, 2039, 1860, 1683, 1509, 1338, 1173, 1015, 865,
723, 592, 472, 364, 269, 187, 119, 67, 29, 7,
0, 9, 34, 74, 129, 198, 282, 380, 490, 612,
745, 888, 1040, 1200, 1366, 1537, 1713, 1891, 2070, 2249,
2426, 2601, 2771, 2936, 3094, 3244, 3384, 3515, 3634, 3741,
3836, 3916, 3982, 4033, 4069, 4090, 4095, 4084, 4057, 4015,
3958, 3886, 3801, 3701, 3589, 3465, 3330, 3186, 3032, 2871,
2704, 2531, 2355, 2176, 1997, 1818, 1640, 1466, 1296, 1132,
975, 826, 687, 558, 440, 335, 244, 166, 102, 54,
20, 3, 1, 15, 45, 90, 150, 225, 314, 417,
532, 658, 796, 943, 1099, 1262, 1431, 1604, 1782, 1961,
2141, 2320, 2498, 2671, 2840, 3003, 3158, 3305, 3442, 3569,
3683, 3785, 3874, 3948, 4008, 4052, 4081, 4094, 4091, 4073,
4039, 3989, 3924, 3845, 3752, 3646, 3527, 3396, 3256, 3105,
2947, 2782, 2611, 2435, 2257, 2077, 1896, 1717, 1541, 1368,
1200, 1040, 887, 743, 609, 486, 375, 278, 194, 124,
70, 31, 8, 0, 8, 33, 73, 128, 198, 283,
381, 493, 616, 751, 896, 1050, 1211, 1379, 1553, 1730,
1909, 2090, 2271, 2449, 2625, 2796, 2961, 3120, 3269, 3410,
3539, 3657, 3763, 3855, 3933, 3996, 4044, 4076, 4093, 4093,
4078, 4047, 4000, 3937, 3860, 3769, 3665, 3547, 3418, 3278,
3129, 2971, 2806, 2635, 2459, 2280, 2099, 1918, 1738, 1560,
1386, 1217, 1055, 901, 755, 620, 495, 383, 284, 199,
128, 73, 33, 8, 0, 8, 32, 71, 126, 196,
281, 380, 492, 616, 751, 896, 1051, 1213, 1382, 1556,
1734, 1915, 2096, 2278, 2457, 2633, 2805, 2971, 3129, 3279,
3419, 3548, 3666, 3771, 3862, 3939, 4001, 4048, 4079, 4094,
4092, 4075, 4042, 3992, 3928, 3849, 3755, 3648, 3529, 3397,
3255, 3104, 2944, 2777, 2604, 2427, 2247, 2065, 1883, 1703,
1525, 1351, 1183, 1021, 868, 724, 590, 468, 359, 262,
180, 113, 61, 25, 5, 1, 13, 41, 85, 145,
220, 309, 412, 528, 656, 795, 944, 1102, 1268, 1439,
1616, 1795, 1977, 2160, 2341, 2520, 2696, 2866, 3030, 3186,
3333, 3470, 3595, 3709, 3809, 3895, 3966, 4022, 4062, 4087,
4095, 4087, 4062, 4022, 3966, 3895, 3808, 3708, 3595, 3469,
3332, 3185, 3029, 2865, 2694, 2518, 2338, 2156, 1974, 1791,
1611, 1434, 1263, 1097, 939, 790, 651, 523, 407, 304,
215, 141, 82, 39, 11, 0, 6, 27, 65, 119,
188, 272, 370, 482, 606, 741, 887, 1043, 1206, 1376,
1552, 1732, 1914, 2097, 2280, 2461, 2638, 2811, 2978, 3137,
3288, 3429, 3558, 3676, 3780, 3871, 3947, 4008, 4053, 4082,
4094, 4091, 4070, 4034, 3982, 3914, 3831, 3734, 3623, 3499,
3364, 3219, 3064, 2900, 2730, 2554, 2375, 2192, 2009, 1826,
1644, 1466, 1292, 1125, 965, 813, 672, 541, 423, 318,
227, 150, 89, 43, 14, 1, 4, 24, 60, 113,
180, 263, 361, 472, 595, 731, 877, 1032, 1196, 1366,
1542, 1723, 1905, 2089, 2273, 2455, 2633, 2807, 2975, 3135,
3286, 3428, 3558, 3676, 3781, 3872, 3948, 4009, 4054, 4082,
4095, 4090, 4069, 4032, 3979, 3910, 3826, 3727, 3615, 3490,
3354, 3207, 3050, 2885, 2714, 2537, 2356, 2173, 1989, 1805,
1623, 1444, 1271, 1103, 944, 793, 652, 523, 406, 303,
213, 139, 80, 37, 10, 0, 7, 30, 69, 125,
196, 283, 383, 498, 624, 763, 912, 1070, 1236, 1409,
1587, 1769, 1953, 2137, 2321, 2503, 2681, 2854, 3021, 3179,
3329, 3468, 3595, 3709, 3811, 3897, 3969, 4025, 4065, 4088,
4095, 4085, 4058, 4015, 3956, 3881, 3792, 3688, 3570, 3441,
3299, 3148, 2988, 2819, 2645, 2466, 2283, 2098, 1913, 1729,
1547, 1370, 1198, 1033, 877, 730, 593, 469, 358, 260,
177, 109, 58, 22, 3, 1, 16, 47, 95, 159,
238, 332, 440, 562, 695, 840, 995, 1158, 1328, 1505,
1686, 1870, 2055, 2241, 2424, 2605, 2781, 2951, 3114, 3268,
3412, 3545, 3665, 3772, 3865, 3943, 4005, 4052, 4081, 4094,
4091, 4070, 4033, 3979, 3909, 3824, 3725, 3612, 3485, 3347,
3198, 3040, 2873, 2700, 2521, 2339, 2154, 1968, 1782, 1599,
1420, 1245, 1078, 918, 768, 628, 500, 384, 283, 196,
124, 68, 29, 6, 0, 11, 39, 84, 144, 221,
312, 418, 538, 670, 813, 966, 1129, 1299, 1475, 1657,
1841, 2027, 2213, 2398, 2580, 2758, 2929, 3094, 3250, 3395,
3530, 3652, 3761, 3856, 3936, 4000, 4048, 4079, 4094, 4091,
4072, 4036, 3983, 3914, 3830, 3730, 3617, 3491, 3353, 3204,
3045, 2878, 2704, 2524, 2341, 2155, 1969, 1782, 1599, 1418,
1243, 1075, 915, 764, 624, 496, 380, 279, 192, 121,
66, 27, 5, 0, 13, 42, 88, 150, 228, 321,
429, 550, 684, 829, 984, 1148, 1320, 1498, 1680, 1866,
2053, 2240, 2425, 2607, 2785, 2956, 3120, 3275, 3419, 3552,
3673, 3780, 3872, 3950, 4011, 4056, 4084, 4095, 4089, 4066,
4025, 3969, 3896, 3808, 3705, 3588, 3458, 3316, 3164, 3002,
2833, 2656, 2475, 2290, 2103, 1916, 1729, 1545, 1366, 1192,
1025, 867, 719, 582, 457, 346, 249, 167, 101, 51,
18, 2, 3, 21, 57, 109, 177, 261, 361, 474,
601, 739, 889, 1049, 1217, 1392, 1573, 1757, 1944, 2132,
2319, 2504, 2685, 2861, 3030, 3191, 3342, 3482, 3610, 3725,
3825, 3911, 3981, 4035, 4072, 4091, 4094, 4079, 4047, 3999,
3933, 3852, 3756, 3645, 3521, 3384, 3236, 3078, 2911, 2737,
2557, 2372, 2185, 1997, 1809, 1623, 1441, 1264, 1093, 931,
778, 636, 505, 388, 285, 197, 124, 68, 28, 6,
0, 13, 42, 88, 152, 231, 325, 434, 557, 693,
840, 997, 1163, 1337, 1517, 1701, 1888, 2077, 2265, 2452,
2635, 2813, 2985, 3148, 3303, 3446, 3578, 3697, 3802, 3891,
3966, 4023, 4064, 4088, 4095, 4084, 4056, 4010, 3948, 3870,
3776, 3668, 3546, 3411, 3264, 3107, 2941, 2767, 2587, 2403,
2215, 2026, 1837, 1650, 1467, 1288, 1116, 952, 797, 652,
520, 401, 295, 205, 131, 72, 31, 7, 0, 11,
39, 85, 147, 225, 319, 428, 550, 686, 833, 991,
1157, 1331, 1512, 1697, 1885, 2074, 2263, 2450, 2634, 2813,
2985, 3150, 3304, 3449, 3581, 3700, 3804, 3894, 3968, 4025,
4066, 4089, 4095, 4083, 4053, 4007, 3943, 3864, 3768, 3658,
3534, 3398, 3249, 3091, 2923, 2748, 2567, 2381, 2193, 2003,
1814, 1626, 1442, 1264, 1092, 928, 774, 631, 500, 383,
279, 191, 119, 64, 25, 4, 1, 15, 47, 96,
162, 244, 341, 454, 580, 719, 869, 1029, 1198, 1375,
1557, 1744, 1933, 2123, 2313, 2500, 2684, 2861, 3032, 3195,
3347, 3489, 3617, 3733, 3833, 3919, 3988, 4040, 4075, 4093,
4093, 4075, 4040, 3987, 3918, 3832, 3731, 3616, 3486, 3345,
3192, 3029, 2858, 2680, 2496, 2308, 2118, 1927, 1738, 1551,
1368, 1192, 1022, 862, 712, 573, 447, 335, 238, 157,
92, 44, 13, 0, 5, 28, 68, 125, 199, 289,
395, 514, 647, 793, 949, 1115, 1288, 1469, 1654, 1843,
2034, 2225, 2414, 2600, 2782, 2956, 3124, 3281, 3428, 3563,
3685, 3792, 3885, 3961, 4021, 4063, 4088, 4095, 4084, 4056,
4010, 3946, 3867, 3771, 3660, 3536, 3398, 3248, 3088, 2919,
2743, 2560, 2372, 2182, 1991, 1800, 1611, 1427, 1247, 1075,
911, 756, 614, 483, 367, 265, 179, 109, 56, 20,
2, 2, 20, 56, 109, 179, 266, 368, 485, 615,
758, 913, 1077, 1250, 1430, 1615, 1804, 1995, 2187, 2378,
2565, 2748, 2925, 3094, 3255, 3404, 3542, 3666, 3776, 3871,
3951, 4013, 4058, 4085, 4095, 4087, 4060, 4016, 3955, 3877,
3782, 3673, 3549, 3412, 3263, 3103, 2934, 2757, 2574, 2387,
2196, 2004, 1812, 1622, 1437, 1256, 1082, 917, 762, 618,
487, 370, 267, 180, 110, 56, 20, 2, 2, 20,
56, 110, 181, 268, 371, 488, 620, 764, 919, 1085,
1258, 1439, 1626, 1816, 2008, 2200, 2391, 2579, 2763, 2940,
3109, 3269, 3418, 3555, 3678, 3787, 3881, 3959, 4019, 4062,
4088, 4095, 4084, 4055, 4008, 3944, 3863, 3766, 3654, 3528,
3388, 3236, 3074, 2903, 2724, 2540, 2350, 2159, 1966, 1773,
1584, 1398, 1218, 1046, 882, 729, 587, 459, 344, 245,
161, 95, 45, 14, 1, 5, 28, 69, 128, 203,
295, 403, 525, 661, 809, 968, 1137, 1314, 1498, 1686,
1878, 2071, 2264, 2455, 2642, 2824, 2999, 3166, 3323, 3468,
3601, 3720, 3824, 3912, 3984, 4038, 4074, 4093, 4093, 4075,
4038, 3984, 3913, 3825, 3721, 3602, 3470, 3324, 3167, 3001,
2825, 2643, 2455, 2264, 2070, 1877, 1685, 1496, 1312, 1135,
966, 806, 658, 522, 400, 292, 201, 125, 67, 27,
5, 1, 15, 48, 98, 166, 251, 352, 469, 599,
742, 897, 1063, 1237, 1419, 1606, 1797, 1991, 2185, 2377,
2567, 2752, 2931, 3102, 3264, 3414, 3552, 3677, 3787, 3882,
3960, 4020, 4063, 4088, 4095, 4083, 4053, 4005, 3939, 3856,
3757, 3642, 3513, 3371, 3217, 3053, 2879, 2698, 2511, 2320,
2126, 1932, 1738, 1548, 1362, 1182, 1010, 847, 695, 555,
429, 317, 221, 142, 79, 35, 8, 0, 10, 39,
86, 151, 233, 331, 445, 573, 715, 868, 1033, 1206,
1387, 1575, 1766, 1960, 2155, 2348, 2539, 2726, 2907, 3079,
3243, 3395, 3536, 3663, 3775, 3872, 3952, 4015, 4060, 4087,
4095, 4085, 4056, 4009, 3944, 3863, 3764, 3650, 3522, 3380,
3226, 3061, 2887, 2706, 2518, 2326, 2132, 1937, 1743, 1551,
1365, 1184, 1011, 848, 695, 555, 428, 316, 220, 140,
78, 34, 8, 0, 11, 41, 89, 155, 238, 337,
452, 582, 725, 880, 1046, 1220, 1403, 1591, 1783, 1978,
2174, 2368, 2560, 2746, 2927, 3099, 3262, 3414, 3553, 3679,
3789, 3884, 3962, 4023, 4065, 4089, 4095, 4081, 4049, 3999,
3931, 3846, 3745, 3627, 3496, 3351, 3194, 3027, 2851, 2667,
2478, 2284, 2089, 1893, 1699, 1508, 1321, 1142, 970, 809,
659, 521, 398, 289, 197, 122, 64, 25, 4, 1,
18, 53, 107, 178, 266, 371, 491, 626, 773, 932,
1102, 1280, 1465, 1656, 1850, 2046, 2242, 2436, 2627, 2812,
2991, 3161, 3320, 3468, 3603, 3723, 3828, 3917, 3988, 4042,
4077, 4094, 4091, 4070, 4031, 3973, 3897, 3804, 3696, 3571,
3433, 3282, 3120, 2948, 2767, 2580, 2388, 2193, 1997, 1800,
1607, 1417, 1233, 1056, 889, 732, 588, 457, 340, 240,
156, 89, 41, 11, 0, 8, 35, 80, 143, 225,
322, 436, 565, 708, 863, 1029, 1204, 1387, 1576, 1770,
1966, 2163, 2359, 2552, 2741, 2922, 3096, 3261, 3414, 3554,
3680, 3791, 3886, 3965, 4025, 4067, 4090, 4094, 4080, 4046,
3994, 3924, 3836, 3732, 3612, 3478, 3330, 3171, 3001, 2822,
2636, 2444, 2249, 2052, 1855, 1660, 1468, 1281, 1102, 932,
771, 623, 488, 368, 263, 174, 103, 51, 16, 1,
5, 27, 69, 129, 207, 302, 413, 539, 680, 833,
998, 1172, 1355, 1544, 1737, 1934, 2132, 2329, 2523, 2713,
2897, 3072, 3239, 3394, 3536, 3665, 3779, 3876, 3957, 4019,
4063, 4088, 4095, 4082, 4050, 3999, 3930, 3844, 3741, 3622,
3488, 3340, 3181, 3011, 2832, 2646, 2454, 2258, 2060, 1862,
1666, 1473, 1286, 1106, 935, 774, 625, 489, 368, 262,
174, 103, 50, 16, 1, 5, 28, 70, 131, 210,
306, 418, 546, 688, 842, 1008, 1184, 1367, 1557, 1752,
1950, 2148, 2346, 2540, 2731, 2914, 3090, 3256, 3410, 3552,
3679, 3791, 3887, 3965, 4026, 4068, 4090, 4094, 4078, 4044,
3990, 3918, 3828, 3722, 3600, 3463, 3313, 3151, 2979, 2798,
2609, 2416, 2219, 2020, 1822, 1625, 1433, 1246, 1067, 898,
739, 592, 459, 341, 239, 155, 88, 40, 10, 0,
9, 38, 85, 151, 235, 336, 453, 586, 732, 890,
1060, 1239, 1426, 1618, 1815, 2013, 2212, 2410, 2604, 2793,
2975, 3148, 3310, 3461, 3598, 3721, 3828, 3918, 3990, 4044,
4078, 4094, 4090, 4067, 4025, 3964, 3884, 3788, 3675, 3546,
3403, 3247, 3080, 2903, 2718, 2527, 2331, 2132, 1932, 1734,
1538, 1348, 1164, 988, 822, 668, 528, 401, 290, 196,
120, 62, 23, 3, 2, 21, 59, 117, 192, 285,
395, 521, 661, 815, 980, 1156, 1340, 1530, 1726, 1925,
2125, 2324, 2520, 2712, 2898, 3076, 3244, 3400, 3544, 3673,
3787, 3884, 3963, 4025, 4067, 4090, 4094, 4078, 4043, 3989,
3916, 3825, 3717, 3594, 3455, 3303, 3139, 2965, 2782, 2591,
2396, 2197, 1997, 1797, 1600, 1407, 1220, 1041, 871, 713,
568, 436, 321, 221, 140, 76, 31, 6, 0, 14,
48, 100, 171, 261, 367, 490, 627, 778, 941, 1115,
1298, 1488, 1684, 1883, 2083, 2283, 2481, 2675, 2863, 3043,
3213, 3372, 3519, 3651, 3768, 3869, 3952, 4016, 4062, 4088,
4095, 4082, 4049, 3997, 3927, 3838, 3732, 3610, 3473, 3322,
3158, 2984, 2801, 2611, 2415, 2216, 2015, 1815, 1616, 1422,
1234, 1054, 883, 723, 576, 444, 327, 226, 143, 79,
33, 7, 0, 14, 47, 99, 170, 259, 366, 488,
626, 778, 942, 1116, 1300, 1491, 1687, 1887, 2088, 2289,
2487, 2682, 2870, 3050, 3221, 3380, 3526, 3658, 3775, 3874,
3956, 4020, 4064, 4089, 4094, 4080, 4045, 3991, 3919, 3828,
3720, 3596, 3456, 3303, 3138, 2963, 2778, 2586, 2389, 2189,
1987, 1786, 1588, 1393, 1206, 1026, 856, 698, 553, 423,
308, 210, 130, 69, 26, 4, 1, 19, 56, 112,
187, 281, 391, 518, 659, 814, 982, 1159, 1345, 1538,
1736, 1937, 2139, 2340, 2539, 2732, 2919, 3098, 3266, 3422,
3565, 3693, 3805, 3900, 3977, 4035, 4074, 4093, 4092, 4071,
4030, 3970, 3891, 3794, 3680, 3550, 3406, 3248, 3078, 2899,
2711, 2516, 2317, 2115, 1913, 1712, 1514, 1321, 1136, 959,
793, 639, 499, 375, 266, 175, 102, 49, 15, 0,
6, 32, 78, 143, 226, 328, 446, 580, 728, 890,
1062, 1245, 1435, 1631, 1831, 2034, 2236, 2437, 2634, 2825,
3009, 3183, 3346, 3497, 3633, 3753, 3857, 3943, 4010, 4058,
4087, 4095, 4083, 4051, 4000, 3929, 3840, 3733, 3609, 3471,
3318, 3152, 2976, 2791, 2598, 2400, 2198, 1995, 1793, 1593,
1397, 1208, 1027, 856, 697, 551, 420, 304, 207, 127,
66, 25, 3, 2, 21, 60, 118, 196, 292, 405,
535, 679, 837, 1007, 1187, 1375, 1571, 1771, 1973, 2177,
2379, 2578, 2772, 2959, 3136, 3303, 3457, 3598, 3723, 3832,
3923, 3995, 4048, 4082, 4095, 4088, 4060, 4013, 3947, 3861,
3758, 3638, 3501, 3351, 3187, 3013, 2828, 2636, 2438, 2237,
2033, 1829, 1628, 1431, 1240, 1056, 883, 721, 573, 439,
321, 220, 137, 73, 29, 5, 1, 17, 54, 111,
186, 280, 392, 520, 664, 821, 990, 1170, 1359, 1554,
1755, 1958, 2162, 2365, 2565, 2760, 2948, 3127, 3295, 3450,
3592, 3718, 3828, 3920, 3993, 4047, 4081, 4095, 4088, 4061,
4014, 3947, 3861, 3758, 3637, 3500, 3349, 3185, 3009, 2824,
2631, 2433, 2230, 2026, 1821, 1619, 1422, 1230, 1047, 874,
712, 564, 430, 313, 213, 131, 69, 26, 4, 2,
20, 59, 117, 195, 292, 406, 536, 682, 841, 1013,
1194, 1385, 1582, 1783, 1988, 2192, 2396, 2596, 2790, 2977,
3155, 3322, 3476, 3615, 3739, 3846, 3935, 4005, 4055, 4085,
4095, 4084, 4053, 4001, 3930, 3840, 3732, 3608, 3467, 3312,
3145, 2966, 2778, 2583, 2382, 2178, 1973, 1769, 1567, 1370,
1180, 998, 828, 669, 524, 395, 282, 187, 111, 54,
17, 1, 5, 30, 75, 140, 225, 327, 447, 584,
734, 899, 1074, 1260, 1453, 1653, 1856, 2062, 2267, 2470,
2669, 2862, 3046, 3221, 3383, 3532, 3666, 3784, 3884, 3966,
4028, 4070, 4092, 4093, 4073, 4033, 3973, 3894, 3796, 3680,
3547, 3400, 3238, 3065, 2881, 2689, 2491, 2288, 2082, 1876,
1672, 1472, 1277, 1090, 913, 748, 595, 457, 336, 231,
146, 79, 32, 6, 1, 16, 52, 108, 183, 278,
391, 520, 665, 824, 996, 1178, 1369, 1567, 1769, 1975,
2181, 2386, 2588, 2784, 2972, 3152, 3320, 3475, 3615, 3740,
3847, 3937, 4007, 4057, 4086, 4095, 4083, 4050, 3997, 3924,
3832, 3722, 3595, 3452, 3294, 3124, 2943, 2753, 2556, 2353,
2147, 1941, 1735, 1533, 1335, 1145, 965, 795, 638, 495,
368, 259, 167, 95, 43, 11, 0, 10, 41, 92,
163, 253, 362, 488, 630, 786, 955, 1136, 1326, 1523,
1725, 1931, 2138, 2345, 2548, 2746, 2937, 3118, 3289, 3447,
3591, 3719, 3830, 3923, 3996, 4050, 4083, 4095, 4086, 4056,
4006, 3936, 3846, 3738, 3612, 3471, 3315, 3146, 2965, 2775,
2578, 2375, 2169, 1962, 1755, 1552, 1353, 1162, 980, 808,
650, 505, 377, 266, 173, 99, 45, 12, 0, 9,
39, 89, 160, 250, 358, 484, 626, 783, 952, 1133,
1324, 1522, 1725, 1931, 2139, 2346, 2550, 2748, 2940, 3122,
3293, 3451, 3595, 3723, 3834, 3926, 3999, 4052, 4084, 4095,
4085, 4054, 4002, 3930, 3839, 3729, 3602, 3459, 3301, 3130,
2948, 2757, 2558, 2355, 2147, 1939, 1732, 1529, 1330, 1139,
958, 787, 630, 487, 361, 251, 161, 90, 39, 9,
0, 12, 46, 100, 174, 268, 380, 509, 654, 814,
986, 1170, 1363, 1562, 1767, 1975, 2183, 2390, 2594, 2792,
2982, 3162, 3331, 3487, 3627, 3752, 3858, 3946, 4014, 4062,
4089, 4094, 4079, 4042, 3985, 3907, 3810, 3695, 3563, 3414,
3252, 3077, 2892, 2697, 2496, 2291, 2082, 1874, 1667, 1464,
1267, 1078, 899, 733, 580, 442, 321, 218, 133, 69,
26, 3, 2, 22, 63, 125, 207, 308, 428, 564,
715, 881, 1059, 1247, 1443, 1646, 1853, 2062, 2270, 2477,
2679, 2874, 3061, 3238, 3401, 3551, 3685, 3802, 3901, 3980,
4039, 4077, 4094, 4090, 4064, 4017, 3950, 3862, 3756, 3632,
3491, 3335, 3166, 2985, 2794, 2596, 2391, 2183, 1974, 1765,
1559, 1358, 1165, 981, 808, 648, 502, 373, 261, 168,
95, 42, 10, 0, 11, 43, 97, 171, 264, 377,
507, 653, 813, 987, 1172, 1366, 1567, 1773, 1982, 2192,
2400, 2605, 2804, 2995, 3175, 3344, 3500, 3640, 3763, 3869,
3955, 4021, 4067, 4091, 4093, 4075, 4034, 3973, 3892, 3791,
3672, 3536, 3384, 3218, 3039, 2851, 2653, 2450, 2242, 2032,
1822, 1614, 1411, 1215, 1028, 851, 687, 537, 403, 287,
189, 111, 53, 16, 0, 7, 34, 84, 153, 243,
352, 479, 622, 780, 952, 1136, 1329, 1529, 1735, 1945,
2155, 2365, 2571, 2771, 2964, 3148, 3319, 3477, 3620, 3747,
3855, 3944, 4013, 4062, 4089, 4094, 4078, 4040, 3981, 3902,
3803, 3685, 3550, 3399, 3234, 3056, 2868, 2670, 2466, 2258,
2048, 1837, 1628, 1425, 1227, 1039, 861, 695, 544, 409,
291, 192, 113, 54, 17, 1, 6, 34, 83, 152,
242, 351, 478, 622, 781, 953, 1137, 1331, 1533, 1740,
1950, 2161, 2371, 2578, 2779, 2972, 3155, 3327, 3485, 3627,
3753, 3861, 3949, 4017, 4064, 4090, 4094, 4076, 4036, 3975,
3894, 3793, 3673, 3536, 3383, 3216, 3036, 2846, 2647, 2442,
2233, 2021, 1810, 1602, 1398, 1201, 1013, 836, 672, 523,
390, 275, 178, 102, 47, 12, 0, 10, 41, 94,
167, 261, 374, 505, 653, 815, 990, 1177, 1373, 1577,
1785, 1997, 2208, 2419, 2625, 2825, 3016, 3198, 3367, 3522,
3661, 3782, 3886, 3969, 4032, 4073, 4093, 4091, 4067, 4021,
3954, 3867, 3760, 3635, 3492, 3335, 3163, 2979, 2785, 2584,
2376, 2165, 1953, 1742, 1534, 1331, 1137, 952, 778, 619,
475, 347, 238, 149, 80, 32, 5, 1, 19, 58,
119, 201, 303, 423, 561, 715, 884, 1065, 1256, 1456,
1663, 1873, 2086, 2298, 2507, 2712, 2909, 3097, 3274, 3437,
3586, 3718, 3831, 3926, 4000, 4054, 4085, 4095, 4082, 4048,
3992, 3915, 3818, 3701, 3567, 3416, 3251, 3072, 2883, 2684,
2478, 2268, 2056, 1843, 1632, 1426, 1227, 1037, 857, 690,
538, 403, 285, 186, 108, 50, 14, 0, 8, 39,
91, 164, 258, 371, 502, 651, 814, 990, 1178, 1376,
1581, 1791, 2003, 2217, 2428, 2635, 2836, 3028, 3210, 3379,
3534, 3672, 3793, 3895, 3977, 4038, 4077, 4094, 4089, 4062,
4013, 3942, 3851, 3740, 3611, 3465, 3303, 3128, 2941, 2744,
2540, 2330, 2117, 1904, 1692, 1484, 1281, 1088, 905, 734,
577, 437, 314, 210, 125, 62, 21, 2, 4, 30,
77, 146, 235, 344, 472, 617, 778, 952, 1139, 1335,
1539, 1749, 1962, 2176, 2389, 2597, 2800, 2995, 3179, 3351,
3509, 3651, 3775, 3880, 3965, 4030, 4073, 4093, 4091, 4067,
4021, 3953, 3864, 3755, 3628, 3484, 3323, 3149, 2962, 2766,
2562, 2352, 2138, 1924, 1711, 1502, 1299, 1103, 919, 746,
588, 446, 321, 216, 130, 65, 23, 2, 4, 28,
74, 143, 232, 340, 468, 613, 774, 949, 1136, 1333,
1537, 1748, 1961, 2176, 2389, 2599, 2802, 2997, 3182, 3354,
3512, 3654, 3778, 3883, 3968, 4032, 4074, 4093, 4091, 4065,
4018, 3948, 3858, 3748, 3619, 3473, 3311, 3135, 2947, 2749,
2544, 2333, 2119, 1904, 1690, 1481, 1278, 1083, 899, 727,
571, 430, 307, 204, 120, 58, 18, 1, 6, 33,
83, 155, 247, 359, 490, 639, 802, 980, 1169, 1368,
1575, 1787, 2001, 2217, 2430, 2639, 2842, 3036, 3218, 3388,
3544, 3682, 3803, 3904, 3984, 4043, 4080, 4095, 4087, 4056,
4003, 3928, 3832, 3717, 3583, 3432, 3266, 3086, 2895, 2694,
2486, 2274, 2058, 1843, 1630, 1421, 1220, 1027, 846, 678,
526, 390, 273, 175, 98, 43, 10, 0, 13, 48,
105, 184, 284, 403, 540, 695, 864, 1047, 1240, 1443,
1652, 1866, 2082, 2298, 2510, 2718, 2918, 3108, 3287, 3452,
3601, 3733, 3846, 3939, 4011, 4061, 4089, 4094, 4076, 4036,
3973, 3889, 3784, 3660, 3518, 3360, 3187, 3001, 2804, 2600,
2388, 2174, 1957, 1742, 1530, 1324, 1126, 938, 762, 601,
456, 329, 221, 134, 68, 24, 2, 4, 28, 75,
144, 234, 345, 474, 621, 785, 962, 1151, 1351, 1558,
1771, 1987, 2204, 2418, 2629, 2833, 3029, 3213, 3385, 3541,
3681, 3802, 3904, 3985, 4044, 4081, 4095, 4086, 4054, 4000,
3924, 3826, 3709, 3573, 3420, 3252, 3070, 2876, 2673, 2464,
2249, 2032, 1816, 1602, 1393, 1191, 999, 819, 652, 501,
368, 253, 159, 86, 35, 6, 1, 18, 59, 121,
206, 311, 436, 579, 738, 912, 1099, 1297, 1503, 1715,
1931, 2149, 2365, 2577, 2784, 2982, 3170, 3346, 3506, 3650,
3776, 3883, 3969, 4033, 4075, 4094, 4090, 4062, 4013, 3940,
3847, 3733, 3600, 3450, 3284, 3103, 2911, 2709, 2500, 2285,
2068, 1851, 1635, 1425, 1221, 1027, 844, 675, 521, 385,
268, 170, 94, 40, 9, 0, 15, 53, 114, 196,
299, 422, 564, 722, 896, 1082, 1280, 1486, 1698, 1915,
2133, 2350, 2564, 2771, 2971, 3160, 3336, 3498, 3644, 3771,
3879, 3966, 4031, 4074, 4094, 4090, 4063, 4014, 3942, 3848,
3734, 3601, 3451, 3284, 3103, 2910, 2708, 2498, 2282, 2064,
1846, 1630, 1419, 1215, 1021, 838, 669, 515, 379, 262,
166, 90, 37, 7, 0, 17, 56, 119, 203, 308,
433, 577, 737, 912, 1100, 1299, 1507, 1720, 1938, 2157,
2374, 2588, 2795, 2994, 3183, 3358, 3518, 3662, 3787, 3892,
3977, 4039, 4078, 4095, 4087, 4057, 4004, 3928, 3831, 3713,
3576, 3422, 3252, 3069, 2874, 2669, 2457, 2240, 2021, 1803,
1587, 1377, 1174, 981, 800, 634, 484, 352, 239, 146,
76, 28, 4, 2, 25, 70, 138, 228, 339, 469,
617, 782, 962, 1154, 1356, 1566, 1782, 2000, 2219, 2437,
2650, 2855, 3052, 3237, 3409, 3565, 3703, 3822, 3921, 3999,
4054, 4086, 4095, 4080, 4042, 3980, 3897, 3792, 3668, 3524,
3364, 3188, 3000, 2800, 2592, 2377, 2159, 1939, 1721, 1506,
1297, 1098, 909, 733, 572, 429, 304, 199, 115, 54,
15, 0, 9, 41, 96, 174, 273, 393, 532, 689,
861, 1047, 1244, 1451, 1664, 1882, 2102, 2321, 2537, 2748,
2950, 3142, 3322, 3486, 3634, 3764, 3874, 3963, 4029, 4073,
4093, 4090, 4063, 4013, 3940, 3845, 3729, 3594, 3441, 3272,
3088, 2893, 2688, 2475, 2258, 2037, 1818, 1600, 1388, 1184,
989, 807, 639, 487, 354, 240, 147, 76, 28, 3,
3, 25, 72, 141, 232, 344, 476, 627, 794, 975,
1169, 1373, 1585, 1802, 2023, 2243, 2461, 2675, 2881, 3077,
3262, 3432, 3586, 3723, 3840, 3936, 4010, 4062, 4090, 4094,
4074, 4031, 3965, 3876, 3766, 3636, 3488, 3323, 3143, 2950,
2747, 2535, 2318, 2098, 1877, 1658, 1444, 1236, 1038, 852,
680, 524, 385, 266, 168, 91, 37, 7, 1, 18,
59, 124, 210, 319, 447, 594, 758, 937, 1129, 1332,
1543, 1761, 1981, 2202, 2422, 2637, 2845, 3044, 3231, 3405,
3562, 3702, 3823, 3923, 4000, 4055, 4087, 4095, 4078, 4038,
3975, 3889, 3781, 3654, 3507, 3343, 3164, 2973, 2770, 2558,
2341, 2120, 1899, 1679, 1463, 1255, 1055, 867, 693, 535,
395, 274, 174, 95, 40, 8, 0, 17, 57, 120,
206, 314, 442, 588, 752, 932, 1124, 1327, 1539, 1757,
1978, 2200, 2420, 2636, 2844, 3044, 3232, 3406, 3564, 3704,
3824, 3924, 4002, 4056, 4087, 4094, 4077, 4036, 3972, 3885,
3776, 3647, 3499, 3334, 3154, 2961, 2757, 2544, 2326, 2105,
1882, 1662, 1446, 1238, 1039, 851, 678, 521, 382, 263,
164, 88, 35, 6, 1, 20, 63, 129, 218, 329,
460, 610, 776, 958, 1153, 1358, 1571, 1790, 2012, 2235,
2455, 2671, 2879, 3077, 3263, 3435, 3590, 3727, 3845, 3941,
4014, 4064, 4091, 4093, 4071, 4025, 3956, 3864, 3750, 3616,
3464, 3295, 3111, 2915, 2708, 2493, 2274, 2051, 1828, 1608,
1393, 1186, 989, 805, 635, 482, 348, 234, 141, 71,
25, 2, 4, 30, 80, 153, 249, 366, 504, 659,
831, 1018, 1216, 1425, 1641, 1862, 2085, 2308, 2528, 2741,
2947, 3142, 3324, 3491, 3640, 3771, 3881, 3970, 4035, 4077,
4094, 4088, 4057, 4002, 3923, 3823, 3701, 3559, 3400, 3224,
3035, 2833, 2622, 2405, 2183, 1959, 1737, 1518, 1305, 1101,
909, 730, 567, 422, 296, 190, 107, 48, 12, 0,
13, 50, 111, 195, 301, 428, 575, 739, 919, 1112,
1317, 1530, 1749, 1972, 2196, 2418, 2636, 2847, 3048, 3237,
3412, 3570, 3711, 3831, 3930, 4007, 4060, 4089, 4094, 4074,
4030, 3962, 3871, 3758, 3625, 3473, 3303, 3119, 2922, 2714,
2498, 2277, 2053, 1830, 1608, 1392, 1184, 986, 801, 631,
477, 343, 229, 137, 68, 23, 2, 5, 33, 85,
161, 260, 380, 520, 678, 853, 1043, 1244, 1455, 1673,
1896, 2120, 2344, 2564, 2778, 2983, 3177, 3357, 3522, 3669,
3796, 3902, 3986, 4047, 4083, 4095, 4082, 4045, 3984, 3899,
3792, 3664, 3517, 3351, 3170, 2976, 2770, 2556, 2335, 2111,
1886, 1663, 1445, 1234, 1033, 844, 669, 512, 372, 253,
156, 81, 30, 4, 2, 25, 73, 144, 238, 354,
491, 646, 819, 1006, 1206, 1416, 1634, 1856, 2081, 2306,
2528, 2743, 2951, 3147, 3330, 3498, 3648, 3778, 3888, 3976,
4040, 4080, 4095, 4085, 4051, 3993, 3911, 3806, 3680, 3534,
3370, 3190, 2997, 2791, 2577, 2356, 2132, 1906, 1683, 1463,
1251, 1048, 858, 682, 522, 381, 260, 161, 85, 33,
5, 2, 24, 70, 140, 234, 350, 486, 642, 814,
1001, 1202, 1412, 1630, 1854, 2079, 2305, 2527, 2743, 2951,
3148, 3332, 3499, 3650, 3780, 3890, 3977, 4041, 4080, 4095,
4085, 4049, 3990, 3907, 3801, 3673, 3526, 3361, 3180, 2985,
2778, 2563, 2341, 2116, 1890, 1666, 1446, 1234, 1032, 842,
666, 508, 369, 249, 152, 78, 28, 3, 3, 28,
77, 151, 247, 366, 505, 664, 839, 1029, 1231, 1443,
1663, 1888, 2114, 2340, 2562, 2777, 2984, 3180, 3361, 3527,
3674, 3802, 3908, 3991, 4050, 4085, 4095, 4080, 4040, 3975,
3887, 3776, 3644, 3493, 3323, 3138, 2940, 2731, 2513, 2290,
2063, 1837, 1613, 1394, 1183, 983, 796, 625, 471, 336,
222, 131, 63, 19, 1, 7, 39, 95, 176, 279,
404, 550, 714, 894, 1088, 1294, 1510, 1732, 1958, 2185,
2411, 2632, 2846, 3050, 3241, 3418, 3578, 3720, 3840, 3939,
4014, 4065, 4091, 4092, 4068, 4019, 3946, 3849, 3730, 3590,
3431, 3255, 3064, 2861, 2648, 2427, 2201, 1974, 1747, 1525,
1308, 1101, 905, 724, 559, 412, 285, 180, 99, 41,
8, 0, 18, 61, 128, 219, 333, 468, 622, 794,
981, 1182, 1394, 1613, 1838, 2066, 2293, 2517, 2736, 2946,
3145, 3330, 3499, 3651, 3782, 3892, 3980, 4043, 4082, 4095,
4083, 4046, 3984, 3898, 3789, 3658, 3508, 3339, 3154, 2956,
2746, 2528, 2303, 2076, 1848, 1623, 1402, 1190, 989, 800,
627, 472, 336, 222, 130, 62, 19, 1, 8, 41,
98, 180, 285, 412, 560, 726, 908, 1104, 1313, 1530,
1754, 1981, 2210, 2436, 2658, 2872, 3075, 3266, 3442, 3600,
3739, 3857, 3953, 4024, 4072, 4093, 4090, 4061, 4006, 3928,
3826, 3701, 3557, 3393, 3212, 3017, 2810, 2593, 2370, 2142,
1914, 1687, 1464, 1249, 1043, 850, 673, 512, 370, 250,
152, 77, 27, 3, 4, 30, 82, 158, 258, 380,
524, 686, 865, 1059, 1266, 1482, 1705, 1933, 2162, 2389,
2613, 2829, 3036, 3230, 3409, 3572, 3715, 3837, 3937, 4013,
4065, 4091, 4092, 4067, 4017, 3942, 3844, 3722, 3580, 3419,
3240, 3047, 2840, 2624, 2401, 2173, 1944, 1716, 1492, 1275,
1068, 873, 692, 529, 385, 262, 161, 84, 31, 4,
3, 27, 76, 151, 249, 370, 512, 673, 852, 1045,
1252, 1468, 1692, 1920, 2149, 2378, 2602, 2819, 3027, 3222,
3403, 3566, 3710, 3834, 3935, 4012, 4064, 4091, 4092, 4068,
4018, 3943, 3844, 3723, 3580, 3418, 3239, 3045, 2838, 2621,
2397, 2169, 1939, 1710, 1486, 1268, 1061, 866, 686, 523,
379, 256, 156, 80, 29, 3, 3, 29, 81, 157,
257, 380, 524, 687, 867, 1063, 1270, 1488, 1713, 1942,
2172, 2401, 2625, 2842, 3049, 3243, 3423, 3584, 3727, 3848,
3946, 4020, 4069, 4093, 4090, 4062, 4009, 3930, 3827, 3702,
3556, 3391, 3209, 3012, 2803, 2584, 2358, 2129, 1898, 1669,
1445, 1229, 1023, 830, 653, 493, 353, 234, 139, 68,
21, 1, 7, 38, 95, 177, 283, 411, 560, 728,
912, 1111, 1322, 1543, 1769, 2000, 2230, 2459, 2682, 2897,
3102, 3293, 3468, 3625, 3762, 3877, 3969, 4037, 4079, 4095,
4085, 4049, 3988, 3902, 3792, 3660, 3507, 3336, 3149, 2947,
2734, 2512, 2284, 2053, 1822, 1594, 1372, 1158, 956, 767,
595, 442, 309, 198, 111, 48, 11, 0, 15, 56,
123, 214, 329, 465, 622, 797, 988, 1193, 1409, 1632,
1861, 2093, 2324, 2551, 2772, 2984, 3183, 3369, 3537, 3686,
3814, 3920, 4001, 4058, 4089, 4094, 4072, 4025, 3952, 3855,
3734, 3592, 3431, 3251, 3056, 2848, 2630, 2404, 2174, 1942,
1712, 1485, 1266, 1057, 861, 680, 516, 372, 250, 151,
76, 26, 2, 5, 33, 88, 168, 272, 399, 547,
714, 899, 1098, 1309, 1530, 1758, 1989, 2221, 2451, 2676,
2893, 3098, 3291, 3467, 3625, 3763, 3878, 3970, 4038, 4079,
4095, 4084, 4047, 3984, 3896, 3785, 3651, 3496, 3323, 3133,
2929, 2714, 2490, 2261, 2028, 1796, 1567, 1345, 1131, 930,
742, 572, 420, 290, 182, 98, 40, 7, 1, 21,
67, 139, 236, 356, 498, 660, 839, 1035, 1243, 1462,
1689, 1920, 2153, 2384, 2612, 2831, 3041, 3238, 3419, 3583,
3727, 3849, 3948, 4022, 4071, 4093, 4089, 4059, 4002, 3921,
3814, 3685, 3535, 3366, 3179, 2978, 2764, 2542, 2313, 2080,
1847, 1617, 1392, 1176, 971, 780, 605, 449, 314, 201,
113, 49, 11, 0, 15, 57, 125, 217, 334, 472,
631, 809, 1002, 1210, 1428, 1654, 1885, 2119, 2351, 2580,
2801, 3013, 3212, 3397, 3563, 3710, 3835, 3937, 4015, 4067,
4092, 4091, 4063, 4010, 3930, 3826, 3699, 3550, 3382, 3196,
2996, 2783, 2560, 2331, 2098, 1864, 1633, 1407, 1189, 983,
791, 614, 457, 320, 206, 116, 51, 12, 0, 14,
55, 122, 214, 331, 469, 628, 806, 1000, 1207, 1426,
1652, 1884, 2118, 2351, 2581, 2803, 3015, 3215, 3399, 3566,
3713, 3838, 3940, 4017, 4068, 4093, 4091, 4062, 4007, 3926,
3821, 3692, 3542, 3372, 3185, 2983, 2769, 2545, 2315, 2081,
1847, 1615, 1389, 1172, 966, 775, 600, 444, 309, 196,
108, 46, 10, 0, 18, 62, 132, 227, 346, 488,
650, 830, 1026, 1236, 1457, 1685, 1918, 2152, 2386, 2615,
2836, 3047, 3245, 3427, 3591, 3735, 3857, 3955, 4027, 4074,
4094, 4087, 4054, 3993, 3908, 3797, 3664, 3510, 3336, 3145,
2940, 2723, 2497, 2265, 2030, 1796, 1565, 1340, 1124, 921,
732, 561, 409, 279, 173, 91, 35, 5, 2, 26,
77, 154, 256, 382, 529, 697, 883, 1083, 1297, 1520,
1751, 1985, 2221, 2454, 2681, 2900, 3108, 3302, 3480, 3638,
3776, 3890, 3981, 4045, 4084, 4095, 4079, 4037, 3968, 3873,
3755, 3614, 3452, 3272, 3075, 2865, 2644, 2415, 2181, 1945,
1711, 1481, 1259, 1047, 848, 665, 501, 357, 235, 138,
66, 20, 1, 9, 44, 105, 193, 305, 440, 597,
772, 965, 1172, 1391, 1618, 1851, 2087, 2322, 2554, 2779,
2994, 3197, 3384, 3554, 3703, 3831, 3935, 4014, 4066, 4092,
4091, 4062, 4007, 3926, 3819, 3689, 3538, 3366, 3177, 2973,
2756, 2530, 2298, 2062, 1826, 1593, 1366, 1148, 942, 751,
577, 423, 290, 181, 96, 38, 6, 2, 24, 74,
150, 252, 377, 525, 693, 879, 1080, 1295, 1519, 1751,
1987, 2223, 2457, 2686, 2906, 3115, 3309, 3487, 3645, 3782,
3896, 3985, 4049, 4085, 4095, 4077, 4031, 3960, 3863, 3741,
3597, 3432, 3249, 3049, 2836, 2613, 2382, 2146, 1909, 1674,
1444, 1222, 1011, 814, 634, 472, 332, 214, 121, 54,
13, 0, 14, 56, 124, 218, 336, 478, 640, 821,
1019, 1231, 1453, 1684, 1919, 2156, 2392, 2623, 2847, 3059,
3258, 3441, 3605, 3749, 3869, 3965, 4035, 4079, 4095, 4084,
4045, 3979, 3888, 3772, 3632, 3472, 3292, 3095, 2885, 2663,
2432, 2197, 1960, 1723, 1491, 1267, 1053, 852, 668, 502,
357, 234, 136, 64, 19, 0, 10, 46, 110, 200,
315, 453, 613, 792, 987, 1198, 1419, 1649, 1885, 2123,
2359, 2592, 2817, 3032, 3233, 3419, 3586, 3732, 3856, 3955,
4028, 4075, 4094, 4086, 4050, 3987, 3898, 3784, 3646, 3487,
3309, 3113, 2903, 2681, 2451, 2215, 1977, 1740, 1507, 1281,
1066, 864, 678, 511, 364, 240, 140, 67, 20, 1,
9, 45, 108, 197, 311, 449, 609, 788, 984, 1195,
1417, 1647, 1883, 2122, 2359, 2592, 2818, 3033, 3235, 3421,
3588, 3735, 3858, 3957, 4030, 4076, 4095, 4085, 4048, 3984,
3894, 3779, 3640, 3479, 3299, 3102, 2891, 2668, 2437, 2200,
1961, 1724, 1491, 1265, 1050, 849, 664, 497, 352, 230,
133, 61, 17, 0, 11, 50, 116, 208, 326, 467,
629, 811, 1009, 1222, 1446, 1678, 1915, 2154, 2391, 2624,
2849, 3063, 3264, 3447, 3612, 3755, 3875, 3970, 4039, 4081,
4095, 4081, 4039, 3970, 3875, 3755, 3612, 3447, 3263, 3063,
2848, 2623, 2390, 2152, 1913, 1675, 1443, 1219, 1006, 807,
626, 463, 323, 206, 114, 49, 10, 0, 18, 64,
136, 235, 359, 506, 673, 860, 1063, 1279, 1506, 1741,
1979, 2219, 2456, 2688, 2911, 3122, 3318, 3497, 3656, 3793,
3906, 3994, 4055, 4088, 4094, 4071, 4021, 3943, 3840, 3712,
3561, 3390, 3200, 2994, 2775, 2546, 2310, 2071, 1831, 1595,
1364, 1143, 934, 741, 565, 410, 278, 169, 87, 31,
3, 4, 32, 88, 171, 280, 413, 568, 744, 938,
1147, 1369, 1600, 1837, 2077, 2317, 2552, 2781, 3000, 3206,
3396, 3567, 3717, 3845, 3947, 4024, 4073, 4094, 4087, 4052,
3989, 3900, 3785, 3646, 3485, 3304, 3106, 2893, 2669, 2436,
2197, 1957, 1718, 1483, 1256, 1040, 838, 652, 486, 342,
221, 125, 55, 14, 0, 15, 57, 127, 224, 346,
492, 659, 845, 1048, 1264, 1492, 1727, 1967, 2207, 2446,
2679, 2903, 3116, 3314, 3494, 3654, 3792, 3906, 3994, 4055,
4088, 4094, 4070, 4019, 3940, 3836, 3706, 3553, 3380, 3188,
2980, 2760, 2529, 2292, 2051, 1810, 1573, 1342, 1121, 913,
720, 546, 393, 262, 157, 78, 26, 2, 6, 39,
100, 188, 301, 439, 599, 780, 978, 1191, 1415, 1649,
1888, 2130, 2370, 2606, 2834, 3051, 3254, 3440, 3607, 3753,
3874, 3970, 4040, 4082, 4095, 4080, 4037, 3965, 3868, 3745,
3598, 3429, 3242, 3037, 2819, 2591, 2354, 2113, 1872, 1633,
1399, 1175, 963, 765, 586, 427, 291, 179, 93, 35,
5, 3, 29, 84, 166, 275, 408, 564, 741, 936,
1147, 1370, 1603, 1842, 2083, 2325, 2562, 2792, 3012, 3219,
3409, 3580, 3729, 3855, 3956, 4030, 4077, 4095, 4084, 4045,
3978, 3884, 3764, 3620, 3454, 3269, 3066, 2849, 2621, 2385,
2144, 1902, 1661, 1427, 1200, 986, 787, 605, 443, 304,
189, 101, 39, 6, 2, 26, 78, 158, 265, 397,
551, 727, 922, 1132, 1355, 1587, 1827, 2069, 2311, 2549,
2781, 3002, 3209, 3401, 3573, 3724, 3851, 3953, 4028, 4076,
4095, 4085, 4046, 3980, 3886, 3766, 3622, 3456, 3270, 3067,
2850, 2621, 2384, 2143, 1900, 1659, 1424, 1197, 982, 783,
601, 439, 301, 186, 98, 38, 6, 2, 27, 81,
163, 271, 404, 560, 738, 934, 1145, 1369, 1603, 1843,
2086, 2329, 2567, 2799, 3019, 3226, 3416, 3587, 3736, 3862,
3962, 4034, 4079, 4095, 4082, 4040, 3970, 3873, 3751, 3604,
3435, 3246, 3041, 2821, 2591, 2352, 2110, 1866, 1626, 1391,
1165, 952, 754, 575, 416, 281, 170, 87, 30, 3,
4, 35, 94, 180, 293, 431, 592, 773, 973, 1187,
1414, 1650, 1892, 2136, 2378, 2616, 2846, 3064, 3268, 3455,
3622, 3766, 3887, 3981, 4047, 4085, 4095, 4075, 4026, 3949,
3846, 3716, 3563, 3389, 3195, 2986, 2762, 2529, 2289, 2045,
1801, 1561, 1328, 1105, 895, 702, 528, 375, 246, 143,
67, 19, 0, 10, 50, 117, 212, 333, 479, 647,
835, 1040, 1259, 1490, 1729, 1972, 2216, 2458, 2695, 2921,
3136, 3335, 3515, 3675, 3812, 3923, 4007, 4064, 4092, 4091,
4060, 4001, 3914, 3800, 3662, 3500, 3317, 3117, 2901, 2673,
2436, 2193, 1948, 1705, 1467, 1237, 1018, 814, 628, 462,
319, 200, 108, 44, 8, 1, 24, 75, 155, 262,
394, 550, 728, 924, 1137, 1362, 1598, 1840, 2084, 2329,
2569, 2802, 3024, 3232, 3423, 3594, 3743, 3868, 3967, 4039,
4081, 4095, 4079, 4034, 3961, 3860, 3734, 3583, 3410, 3217,
3008, 2785, 2551, 2310, 2065, 1820, 1579, 1344, 1119, 907,
712, 536, 381, 251, 146, 69, 20, 0, 10, 49,
117, 212, 334, 480, 649, 838, 1045, 1266, 1498, 1738,
1983, 2228, 2471, 2708, 2935, 3150, 3348, 3528, 3687, 3822,
3932, 4014, 4068, 4093, 4089, 4055, 3992, 3901, 3784, 3641,
3475, 3289, 3085, 2866, 2635, 2396, 2152, 1906, 1662, 1424,
1194, 977, 776, 593, 430, 291, 178, 91, 33, 4,
4, 34, 92, 179, 294, 433, 596, 779, 981, 1199,
1429, 1667, 1912, 2158, 2402, 2642, 2873, 3092, 3296, 3481,
3647, 3788, 3905, 3995, 4057, 4090, 4093, 4066, 4010, 3926,
3815, 3678, 3517, 3336, 3135, 2919, 2690, 2452, 2207, 1961,
1716, 1475, 1243, 1023, 817, 629, 462, 318, 199, 106,
42, 7, 1, 26, 79, 161, 271, 406, 565, 746,
945, 1161, 1389, 1627, 1871, 2118, 2364, 2605, 2838, 3059,
3266, 3455, 3624, 3770, 3890, 3984, 4050, 4087, 4094, 4071,
4019, 3938, 3830, 3696, 3537, 3357, 3158, 2943, 2715, 2477,
2233, 1986, 1739, 1498, 1264, 1042, 835, 645, 475, 329,
207, 112, 46, 9, 1, 23, 75, 155, 263, 398,
556, 736, 935, 1150, 1379, 1617, 1861, 2109, 2355, 2597,
2831, 3053, 3261, 3451, 3621, 3767, 3889, 3983, 4050, 4087,
4094, 4071, 4019, 3938, 3829, 3695, 3536, 3355, 3156, 2940,
2711, 2472, 2227, 1980, 1733, 1491, 1257, 1035, 827, 638,
469, 323, 202, 109, 43, 7, 1, 25, 79, 161,
271, 407, 568, 749, 950, 1167, 1397, 1637, 1882, 2130,
2377, 2619, 2852, 3074, 3280, 3469, 3637, 3781, 3900, 3992,
4055, 4089, 4093, 4067, 4011, 3926, 3814, 3676, 3513, 3330,
3127, 2909, 2678, 2437, 2191, 1943, 1696, 1455, 1222, 1001,
796, 609, 443, 301, 184, 95, 35, 4, 3, 33,
92, 180, 295, 436, 601, 787, 992, 1212, 1445, 1686,
1933, 2182, 2428, 2669, 2901, 3120, 3324, 3508, 3672, 3811,
3924, 4009, 4066, 4093, 4089, 4056, 3993, 3901, 3782, 3637,
3469, 3279, 3072, 2849, 2615, 2372, 2125, 1876, 1630, 1390,
1159, 942, 741, 559, 400, 264, 155, 74, 23, 1,
9, 48, 116, 212, 336, 485, 658, 850, 1061, 1286,
1523, 1767, 2015, 2264, 2510, 2749, 2977, 3192, 3390, 3567,
3723, 3853, 3957, 4033, 4079, 4095, 4081, 4036, 3962, 3860,
3731, 3577, 3400, 3203, 2989, 2761, 2522, 2276, 2027, 1779,
1534, 1297, 1071, 859, 665, 492, 341, 216, 118, 49,
10, 1, 22, 73, 154, 262, 398, 558, 740, 941,
1159, 1390, 1631, 1878, 2128, 2376, 2620, 2855, 3078, 3286,
3475, 3643, 3787, 3906, 3997, 4059, 4090, 4092, 4063, 4004,
3916, 3800, 3658, 3492, 3304, 3098, 2876, 2641, 2398, 2150,
1900, 1652, 1410, 1178, 958, 755, 571, 409, 272, 161,
78, 24, 1, 8, 46, 114, 210, 334, 484, 656,
850, 1062, 1288, 1525, 1771, 2020, 2270, 2517, 2757, 2986,
3201, 3399, 3576, 3731, 3861, 3963, 4037, 4081, 4095, 4078,
4031, 3954, 3848, 3716, 3558, 3378, 3178, 2961, 2731, 2490,
2242, 1992, 1742, 1497, 1260, 1035, 825, 634, 463, 317,
196, 103, 39, 6, 2, 30, 88, 175, 290, 432,
598, 785, 992, 1215, 1449, 1693, 1943, 2194, 2442, 2685,
2918, 3138, 3342, 3526, 3688, 3826, 3937, 4019, 4072, 4094,
4086, 4047, 3978, 3880, 3754, 3602, 3428, 3232, 3019, 2791,
2552, 2305, 2055, 1804, 1557, 1317, 1088, 874, 677, 501,
349, 221, 122, 51, 10, 0, 21, 73, 154, 264,
400, 562, 746, 949, 1169, 1402, 1645, 1894, 2146, 2396,
2640, 2876, 3100, 3307, 3495, 3662, 3804, 3920, 4007, 4065,
4093, 4089, 4055, 3990, 3896, 3775, 3627, 3455, 3262, 3050,
2824, 2585, 2339, 2088, 1836, 1588, 1347, 1116, 899, 700,
521, 365, 234, 131, 57, 13, 0, 18, 66, 145,
252, 387, 546, 729, 931, 1150, 1383, 1626, 1876, 2128,
2378, 2624, 2861, 3086, 3295, 3485, 3653, 3797, 3915, 4004,
4063, 4092, 4090, 4057, 3993, 3900, 3779, 3632, 3460, 3267,
3056, 2829, 2590, 2343, 2092, 1840, 1591, 1349, 1117, 900,
700, 521, 364, 234, 131, 57, 13, 0, 18, 68,
147, 255, 391, 551, 735, 938, 1158, 1392, 1636, 1886,
2139, 2390, 2636, 2873, 3097, 3306, 3495, 3662, 3805, 3921,
4009, 4066, 4093, 4089, 4053, 3987, 3892, 3768, 3618, 3444,
3249, 3035, 2807, 2567, 2319, 2066, 1814, 1565, 1323, 1093,
877, 678, 501, 347, 220, 120, 49, 10, 1, 23,
77, 160, 272, 412, 576, 763, 970, 1193, 1429, 1675,
1926, 2179, 2430, 2676, 2911, 3134, 3340, 3526, 3689, 3828,
3939, 4021, 4073, 4095, 4084, 4043, 3971, 3869, 3740, 3585,
3406, 3206, 2989, 2757, 2514, 2265, 2011, 1759, 1510, 1270,
1042, 830, 635, 463, 315, 193, 100, 37, 5, 3,
34, 95, 186, 306, 452, 623, 816, 1027, 1255, 1494,
1743, 1995, 2249, 2499, 2743, 2976, 3194, 3395, 3576, 3733,
3864, 3967, 4040, 4083, 4095, 4075, 4024, 3942, 3832, 3694,
3530, 3344, 3138, 2915, 2679, 2433, 2181, 1927, 1675, 1428,
1191, 968, 760, 573, 409, 269, 157, 74, 22, 0,
11, 52, 125, 227, 357, 513, 693, 894, 1112, 1345,
1589, 1840, 2094, 2348, 2596, 2837, 3065, 3277, 3471, 3642,
3789, 3909, 4001, 4062, 4092, 4090, 4057, 3993, 3899, 3776,
3627, 3453, 3257, 3043, 2813, 2571, 2322, 2068, 1814, 1563,
1320, 1088, 871, 672, 494, 341, 213, 115, 46, 8,
1, 27, 83, 170, 286, 430, 598, 789, 999, 1226,
1465, 1714, 1967, 2222, 2474, 2720, 2955, 3176, 3380, 3562,
3722, 3855, 3961, 4037, 4082, 4095, 4077, 4027, 3946, 3836,
3698, 3535, 3348, 3141, 2918, 2680, 2433, 2180, 1925, 1672,
1424, 1187, 962, 755, 567, 403, 264, 153, 71, 20,
0, 13, 56, 131, 236, 369, 528, 711, 914, 1135,
1371, 1617, 1869, 2125, 2379, 2628, 2868, 3095, 3306, 3497,
3666, 3810, 3926, 4013, 4069, 4094, 4087, 4048, 3978, 3878,
3749, 3594, 3414, 3214, 2995, 2761, 2516, 2264, 2009, 1754,
1504, 1262, 1032, 818, 624, 451, 304, 184, 93, 32,
3, 6, 40, 106, 203, 328, 480, 656, 855, 1072,
1304, 1548, 1799, 2055, 2310, 2562, 2805, 3037, 3253, 3450,
3625, 3776, 3899, 3994, 4058, 4091, 4091, 4060, 3997, 3904,
3781, 3632, 3457, 3261, 3046, 2814, 2571, 2320, 2064, 1808,
1556, 1312, 1079, 861, 662, 484, 331, 205, 108, 41,
6, 3, 31, 92, 183, 303, 451, 624, 819, 1034,
1264, 1507, 1758, 2014, 2270, 2523, 2768, 3002, 3221, 3422,
3601, 3756, 3884, 3982, 4051, 4088, 4093, 4066, 4007, 3917,
3798, 3651, 3479, 3285, 3071, 2841, 2598, 2347, 2091, 1835,
1581, 1335, 1101, 881, 679, 499, 344, 215, 115, 45,
7, 2, 28, 86, 176, 294, 441, 612, 807, 1020,
1250, 1493, 1745, 2001, 2258, 2511, 2758, 2993, 3213, 3415,
3595, 3751, 3880, 3980, 4050, 4088, 4093, 4067, 4008, 3919,
3800, 3653, 3481, 3286, 3072, 2842, 2598, 2347, 2090, 1833,
1579, 1333, 1098, 877, 676, 496, 340, 212, 113, 44,
7, 2, 30, 89, 180, 300, 448, 621, 816, 1032,
1263, 1507, 1759, 2016, 2274, 2527, 2774, 3008, 3228, 3429,
3608, 3762, 3889, 3987, 4054, 4089, 4092, 4063, 4001, 3909,
3787, 3637, 3462, 3265, 3048, 2816, 2571, 2318, 2061, 1803,
1549, 1304, 1069, 851, 652, 474, 322, 197, 101, 37,
4, 4, 36, 101, 196, 321, 473, 650, 849, 1068,
1302, 1548, 1802, 2060, 2317, 2571, 2816, 3049, 3266, 3463,
3638, 3788, 3910, 4002, 4063, 4092, 4089, 4053, 3985, 3886,
3758, 3603, 3422, 3220, 3000, 2764, 2516, 2261, 2003, 1745,
1492, 1248, 1017, 802, 607, 435, 289, 171, 83, 26,
1, 9, 50, 122, 225, 358, 517, 701, 906, 1130,
1368, 1617, 1873, 2132, 2389, 2641, 2884, 3113, 3325, 3517,
3685, 3827, 3941, 4024, 4076, 4095, 4081, 4035, 3958, 3849,
3712, 3548, 3360, 3151, 2925, 2684, 2433, 2176, 1917, 1660,
1409, 1168, 942, 733, 545, 381, 244, 136, 59, 13,
0, 20, 72, 156, 271, 414, 583, 775, 988, 1218,
1462, 1714, 1972, 2232, 2488, 2737, 2976, 3199, 3404, 3587,
3745, 3876, 3978, 4049, 4087, 4093, 4066, 4007, 3916, 3795,
3646, 3471, 3273, 3056, 2822, 2576, 2321, 2062, 1803, 1548,
1300, 1065, 845, 645, 468, 315, 191, 97, 34, 3,
5, 41, 108, 207, 335, 491, 672, 876, 1098, 1335,
1584, 1841, 2100, 2359, 2613, 2858, 3090, 3305, 3499, 3671,
3816, 3932, 4019, 4073, 4095, 4083, 4039, 3963, 3855, 3719,
3556, 3368, 3159, 2932, 2690, 2439, 2180, 1920, 1662, 1410,
1168, 941, 731, 543, 379, 242, 134, 57, 12, 0,
22, 76, 162, 278, 423, 594, 789, 1005, 1237, 1482,
1736, 1996, 2256, 2513, 2763, 3000, 3223, 3426, 3607, 3763,
3891, 3989, 4056, 4090, 4091, 4059, 3995, 3898, 3772, 3618,
3438, 3236, 3014, 2777, 2528, 2271, 2011, 1751, 1496, 1249,
1016, 800, 603, 431, 284, 166, 79, 23, 1, 11,
55, 131, 238, 375, 539, 727, 937, 1165, 1407, 1660,
1919, 2180, 2439, 2691, 2933, 3161, 3371, 3559, 3722, 3859,
3966, 4041, 4084, 4094, 4071, 4015, 3927, 3808, 3660, 3486,
3289, 3072, 2838, 2590, 2335, 2074, 1813, 1556, 1307, 1069,
848, 647, 468, 315, 190, 95, 32, 3, 6, 43,
112, 213, 344, 503, 687, 893, 1118, 1359, 1610, 1869,
2130, 2391, 2645, 2890, 3121, 3335, 3527, 3696, 3837, 3950,
4031, 4079, 4095, 4077, 4026, 3943, 3828, 3685, 3514, 3320,
3105, 2872, 2626, 2371, 2110, 1848, 1590, 1339, 1099, 875,
671, 488, 332, 203, 105, 38, 4, 4, 37, 103,
201, 330, 486, 668, 873, 1097, 1336, 1587, 1846, 2108,
2369, 2625, 2871, 3104, 3320, 3514, 3685, 3829, 3943, 4026,
4077, 4095, 4079, 4030, 3948, 3835, 3692, 3523, 3329, 3114,
2882, 2636, 2380, 2119, 1857, 1598, 1346, 1105, 881, 675,
492, 334, 205, 106, 39, 4, 4, 37, 103, 201,
330, 487, 669, 875, 1099, 1339, 1591, 1850, 2113, 2374,
2631, 2877, 3110, 3326, 3520, 3690, 3833, 3947, 4029, 4079,
4095, 4077, 4026, 3943, 3828, 3684, 3512, 3317, 3101, 2867,
2620, 2363, 2101, 1838, 1579, 1327, 1087, 863, 659, 478,
322, 195, 98, 34, 3, 6, 42, 112, 213, 345,
505, 691, 899, 1126, 1368, 1621, 1882, 2145, 2407, 2662,
2908, 3139, 3353, 3544, 3711, 3851, 3960, 4038, 4083, 4095,
4072, 4016, 3927, 3807, 3658, 3483, 3283, 3063, 2827, 2577,
2319, 2056, 1793, 1534, 1283, 1046, 824, 624, 446, 296,
174, 83, 25, 1, 10, 54, 130, 238, 376, 542,
733, 946, 1177, 1422, 1678, 1940, 2204, 2465, 2720, 2963,
3191, 3400, 3586, 3747, 3880, 3982, 4052, 4089, 4092, 4061,
3996, 3899, 3772, 3615, 3433, 3227, 3002, 2761, 2508, 2247,
1983, 1720, 1463, 1215, 981, 765, 570, 400, 257, 144,
63, 14, 0, 20, 73, 160, 278, 425, 599, 798,
1017, 1254, 1504, 1762, 2026, 2290, 2550, 2802, 3041, 3263,
3465, 3644, 3796, 3919, 4010, 4069, 4094, 4085, 4042, 3965,
3857, 3718, 3552, 3360, 3146, 2914, 2668, 2411, 2148, 1884,
1622, 1367, 1123, 895, 687, 501, 340, 209, 108, 40,
5, 4, 37, 105, 204, 335, 494, 679, 887, 1114,
1358, 1612, 1874, 2139, 2402, 2660, 2907, 3140, 3354, 3547,
3715, 3854, 3963, 4041, 4084, 4094, 4070, 4011, 3920, 3797,
3645, 3466, 3263, 3040, 2800, 2548, 2287, 2022, 1757, 1498,
1248, 1011, 791, 593, 419, 272, 155, 70, 18, 0,
17, 67, 151, 267, 413, 586, 784, 1003, 1239, 1489,
1749, 2014, 2279, 2540, 2793, 3034, 3258, 3461, 3641, 3794,
3918, 4010, 4069, 4094, 4085, 4041, 3964, 3855, 3715, 3547,
3354, 3138, 2905, 2657, 2399, 2134, 1869, 1606, 1351, 1107,
879, 671, 487, 328, 199, 100, 35, 3, 6, 43,
114, 218, 353, 516, 705, 917, 1147, 1393, 1651, 1914,
2180, 2444, 2701, 2947, 3178, 3390, 3579, 3743, 3877, 3981,
4052, 4089, 4092, 4060, 3994, 3895, 3765, 3606, 3421, 3212,
2984, 2740, 2484, 2220, 1954, 1690, 1431, 1183, 949, 734,
541, 374, 235, 127, 51, 9, 1, 29, 90, 185,
311, 466, 648, 855, 1081, 1323, 1578, 1841, 2108, 2373,
2633, 2883, 3119, 3336, 3532, 3703, 3845, 3958, 4037, 4083,
4094, 4071, 4013, 3922, 3799, 3647, 3467, 3263, 3039, 2797,
2543, 2280, 2014, 1748, 1487, 1236, 998, 778, 580, 407,
261, 146, 64, 15, 0, 20, 75, 164, 284, 435,
612, 815, 1038, 1278, 1532, 1794, 2061, 2327, 2589, 2842,
3081, 3302, 3502, 3677, 3825, 3942, 4027, 4078, 4095, 4077,
4024, 3937, 3819, 3670, 3493, 3292, 3070, 2830, 2577, 2314,
2047, 1781, 1518, 1265, 1025, 803, 601, 425, 276, 157,
71, 18, 0, 17, 69, 154, 272, 420, 596, 796,
1018, 1258, 1511, 1773, 2040, 2308, 2570, 2824, 3065, 3288,
3490, 3667, 3817, 3936, 4023, 4076, 4095, 4079, 4027, 3942,
3825, 3677, 3501, 3300, 3078, 2838, 2585, 2322, 2055, 1788,
1525, 1271, 1030, 806, 604, 427, 277, 158, 71, 18,
0, 17, 69, 154, 272, 421, 597, 798, 1021, 1262,
1515, 1778, 2046, 2314, 2577, 2831, 3071, 3294, 3496, 3673,
3822, 3940, 4026, 4078, 4095, 4077, 4024, 3937, 3818, 3668,
3490, 3288, 3064, 2823, 2568, 2304, 2037, 1769, 1506, 1252,
1012, 790, 589, 413, 266, 149, 65, 15, 0, 20,
75, 164, 286, 438, 617, 821, 1047, 1289, 1545, 1809,
2078, 2345, 2608, 2861, 3100, 3321, 3520, 3694, 3839, 3954,
4035, 4082, 4095, 4071, 4013, 3921, 3797, 3643, 3461, 3254,
3027, 2783, 2526, 2261, 1992, 1724, 1462, 1210, 972, 753,
556, 385, 242, 131, 53, 10, 1, 28, 90, 186,
314, 472, 657, 866, 1095, 1342, 1600, 1866, 2135, 2403,
2664, 2915, 3151, 3368, 3562, 3730, 3868, 3976, 4049, 4088,
4092, 4061, 3994, 3894, 3762, 3600, 3411, 3199, 2966, 2718,
2458, 2191, 1921, 1654, 1393, 1144, 910, 697, 506, 342,
208, 106, 37, 4, 5, 43, 114, 220, 357, 524,
717, 933, 1168, 1419, 1681, 1949, 2219, 2486, 2745, 2992,
3223, 3433, 3619, 3778, 3907, 4004, 4066, 4094, 4086, 4042,
3964, 3852, 3709, 3538, 3340, 3120, 2881, 2627, 2364, 2095,
1825, 1559, 1301, 1057, 830, 623, 442, 289, 166, 76,
20, 0, 15, 66, 151, 270, 419, 597, 800, 1024,
1267, 1523, 1788, 2058, 2328, 2593, 2848, 3089, 3313, 3514,
3689, 3836, 3952, 4034, 4082, 4095, 4071, 4012, 3919, 3794,
3637, 3453, 3245, 3015, 2769, 2510, 2243, 1972, 1703, 1440,
1187, 950, 731, 536, 367, 227, 120, 45, 6, 3,
35, 103, 204, 338, 502, 693, 907, 1142, 1392, 1654,
1923, 2193, 2462, 2723, 2972, 3205, 3418, 3607, 3769, 3900,
3999, 4064, 4093, 4087, 4045, 3967, 3857, 3714, 3542, 3344,
3124, 2884, 2630, 2365, 2095, 1824, 1557, 1299, 1054, 826,
619, 438, 285, 162, 73, 19, 0, 17, 70, 157,
278, 430, 610, 815, 1042, 1287, 1545, 1812, 2083, 2354,
2619, 2874, 3115, 3336, 3536, 3709, 3852, 3964, 4043, 4086,
4093, 4065, 4001, 3902, 3771, 3610, 3421, 3208, 2974, 2724,
2462, 2193, 1921, 1652, 1389, 1138, 903, 689, 498, 334,
201, 100, 33, 2, 7, 48, 125, 235, 377, 548,
746, 967, 1207, 1462, 1727, 1998, 2270, 2538, 2797, 3043,
3271, 3478, 3660, 3813, 3935, 4023, 4077, 4095, 4077, 4023,
3934, 3811, 3658, 3476, 3269, 3040, 2793, 2534, 2266, 1994,
1723, 1457, 1202, 962, 742, 544, 373, 231, 122, 47,
7, 3, 35, 103, 206, 341, 506, 698, 915, 1151,
1404, 1668, 1938, 2211, 2480, 2742, 2992, 3225, 3437, 3624,
3784, 3913, 4008, 4069, 4094, 4083, 4036, 3953, 3837, 3689,
3512, 3308, 3083, 2839, 2581, 2313, 2041, 1769, 1502, 1244,
1001, 776, 574, 398, 252, 137, 56, 10, 1, 28,
91, 189, 319, 481, 670, 884, 1118, 1369, 1633, 1903,
2176, 2447, 2710, 2962, 3198, 3413, 3604, 3767, 3900, 3999,
4064, 4093, 4086, 4042, 3963, 3850, 3704, 3529, 3328, 3104,
2861, 2603, 2336, 2064, 1791, 1522, 1264, 1019, 792, 588,
409, 260, 143, 60, 12, 1, 26, 87, 183, 312,
472, 661, 874, 1108, 1359, 1622, 1893, 2166, 2438, 2702,
2955, 3192, 3408, 3600, 3764, 3898, 3998, 4064, 4093, 4086,
4043, 3964, 3851, 3705, 3530, 3328, 3103, 2860, 2602, 2334,
2061, 1788, 1519, 1260, 1014, 788, 584, 406, 257, 140,
58, 11, 1, 27, 90, 187, 318, 480, 670, 884,
1120, 1372, 1636, 1908, 2182, 2454, 2718, 2970, 3206, 3421,
3612, 3774, 3906, 4004, 4067, 4094, 4084, 4038, 3956, 3839,
3691, 3513, 3309, 3082, 2836, 2576, 2307, 2033, 1760, 1491,
1233, 989, 764, 562, 387, 242, 129, 51, 8, 2,
33, 100, 202, 338, 504, 698, 916, 1154, 1409, 1675,
1948, 2222, 2494, 2757, 3008, 3241, 3453, 3640, 3798, 3924,
4017, 4074, 4095, 4079, 4026, 3938, 3815, 3661, 3478, 3269,
3038, 2789, 2526, 2255, 1981, 1707, 1440, 1183, 942, 721,
524, 355, 216, 110, 39, 4, 6, 45, 120, 229,
372, 545, 745, 968, 1211, 1470, 1738, 2012, 2287, 2558,
2819, 3066, 3295, 3502, 3682, 3833, 3951, 4035, 4083, 4094,
4069, 4006, 3909, 3777, 3615, 3424, 3208, 2971, 2717, 2452,
2179, 1903, 1630, 1365, 1112, 876, 661, 472, 310, 181,
85, 24, 0, 14, 64, 150, 270, 423, 605, 813,
1044, 1293, 1555, 1827, 2102, 2377, 2645, 2903, 3145, 3367,
3566, 3737, 3877, 3984, 4056, 4091, 4090, 4051, 3976, 3866,
3723, 3549, 3348, 3124, 2880, 2621, 2352, 2077, 1801, 1530,
1268, 1021, 792, 586, 406, 256, 139, 57, 10, 1,
29, 94, 194, 328, 493, 686, 905, 1144, 1399, 1666,
1941, 2217, 2490, 2755, 3007, 3242, 3455, 3642, 3801, 3927,
4019, 4076, 4095, 4077, 4022, 3931, 3806, 3649, 3462, 3250,
3016, 2764, 2499, 2226, 1949, 1675, 1407, 1151, 911, 692,
497, 331, 196, 95, 30, 1, 10, 56, 138, 255,
405, 585, 792, 1021, 1269, 1532, 1804, 2080, 2356, 2626,
2886, 3130, 3354, 3555, 3728, 3871, 3980, 4053, 4090, 4090,
4053, 3978, 3869, 3726, 3552, 3351, 3126, 2881, 2621, 2351,
2075, 1798, 1526, 1263, 1015, 786, 580, 400, 251, 135,
54, 9, 2, 32, 99, 202, 338, 506, 702, 923,
1165, 1422, 1691, 1967, 2244, 2518, 2783, 3034, 3267, 3478,
3663, 3818, 3941, 4029, 4080, 4095, 4071, 4011, 3914, 3784,
3621, 3429, 3212, 2974, 2718, 2451, 2176, 1898, 1623, 1356,
1102, 865, 650, 460, 300, 172, 78, 20, 0, 17,
72, 163, 289, 447, 634, 848, 1084, 1337, 1603, 1878,
2156, 2431, 2700, 2957, 3197, 3416, 3609, 3774, 3907, 4006,
4069, 4094, 4082, 4033, 3946, 3825, 3671, 3487, 3277, 3043,
2792, 2527, 2252, 1975, 1698, 1428, 1169, 927, 705, 508,
339, 202, 99, 32, 2, 9, 55, 137, 255, 405,
586, 794, 1025, 1275, 1539, 1813, 2091, 2368, 2640, 2900,
3145, 3369, 3569, 3741, 3881, 3988, 4059, 4092, 4088, 4046,
3967, 3853, 3705, 3526, 3320, 3091, 2842, 2579, 2305, 2027,
1750, 1477, 1216, 969, 743, 541, 367, 223, 114, 40,
4, 6, 45, 121, 233, 379, 556, 760, 988, 1236,
1499, 1772, 2050, 2329, 2601, 2864, 3112, 3340, 3543, 3720,
3865, 3976, 4052, 4090, 4090, 4053, 3978, 3868, 3724, 3548,
3345, 3117, 2870, 2607, 2334, 2056, 1777, 1504, 1241, 992,
763, 558, 381, 235, 122, 45, 6, 4, 40, 114,
224, 367, 542, 745, 972, 1219, 1482, 1755, 2034, 2312,
2586, 2850, 3099, 3329, 3534, 3712, 3859, 3972, 4049, 4089,
4091, 4055, 3982, 3872, 3728, 3553, 3350, 3123, 2876, 2613,
2340, 2061, 1782, 1508, 1244, 994, 765, 559, 382, 235,
122, 45, 6, 4, 41, 115, 225, 369, 545, 749,
977, 1225, 1488, 1762, 2041, 2320, 2594, 2858, 3107, 3336,
3541, 3718, 3864, 3976, 4052, 4090, 4090, 4052, 3977, 3865,
3719, 3543, 3338, 3109, 2860, 2596, 2321, 2042, 1762, 1488,
1224, 976, 748, 544, 368, 224, 114, 40, 4, 6,
46, 124, 238, 385, 564, 771, 1001, 1252, 1517, 1792,
2072, 2351, 2625, 2888, 3135, 3362, 3564, 3738, 3880, 3988,
4059, 4092, 4087, 4044, 3963, 3847, 3696, 3515, 3306, 3073,
2821, 2555, 2279, 1999, 1719, 1446, 1184, 938, 713, 513,
342, 203, 99, 31, 1, 10, 57, 142, 262, 416,
600, 812, 1047, 1301, 1569, 1846, 2127, 2406, 2679, 2940,
3183, 3406, 3603, 3771, 3906, 4006, 4069, 4095, 4081, 4030,
3941, 3816, 3658, 3470, 3254, 3016, 2760, 2491, 2213, 1931,
1653, 1381, 1122, 881, 661, 468, 304, 173, 78, 20,
0, 19, 76, 170, 300, 463, 655, 874, 1115, 1374,
1645, 1925, 2206, 2484, 2755, 3011, 3250, 3466, 3655, 3814,
3939, 4029, 4081, 4095, 4070, 4006, 3906, 3771, 3603, 3405,
3182, 2937, 2676, 2402, 2122, 1841, 1563, 1295, 1040, 805,
594, 409, 256, 137, 54, 9, 2, 34, 104, 211,
353, 527, 730, 958, 1206, 1471, 1746, 2027, 2308, 2585,
2851, 3102, 3333, 3540, 3719, 3865, 3978, 4053, 4091, 4090,
4050, 3972, 3857, 3708, 3528, 3319, 3087, 2834, 2567, 2290,
2008, 1727, 1452, 1188, 941, 714, 513, 341, 202, 97,
30, 1, 11, 60, 146, 269, 425, 613, 827, 1065,
1322, 1592, 1871, 2153, 2434, 2707, 2967, 3210, 3431, 3626,
3790, 3922, 4017, 4075, 4095, 4076, 4017, 3922, 3790, 3626,
3431, 3210, 2967, 2706, 2433, 2152, 1870, 1590, 1320, 1063,
825, 610, 423, 267, 145, 59, 11, 1, 31, 100,
205, 346, 519, 721, 949, 1198, 1463, 1739, 2021, 2303,
2581, 2848, 3100, 3333, 3540, 3719, 3866, 3979, 4054, 4091,
4089, 4048, 3969, 3853, 3702, 3520, 3310, 3075, 2821, 2552,
2273, 1990, 1709, 1433, 1169, 923, 697, 498, 328, 191,
90, 26, 0, 14, 67, 158, 285, 446, 638, 856,
1098, 1357, 1630, 1911, 2194, 2475, 2747, 3007, 3247, 3465,
3655, 3815, 3941, 4030, 4082, 4094, 4067, 4002, 3899, 3760,
3589, 3387, 3161, 2912, 2648, 2371, 2089, 1805, 1526, 1258,
1004, 771, 562, 381, 233, 119, 42, 4, 6, 46,
125, 241, 392, 574, 785, 1020, 1275, 1545, 1824, 2108,
2391, 2667, 2931, 3178, 3403, 3603, 3772, 3908, 4009, 4071,
4095, 4079, 4024, 3931, 3802, 3639, 3445, 3225, 2981, 2720,
2446, 2164, 1880, 1599, 1326, 1068, 828, 612, 424, 267,
144, 58, 10, 2, 33, 103, 210, 353, 529, 734,
964, 1215, 1482, 1761, 2044, 2328, 2607, 2874, 3126, 3357,
3563, 3739, 3883, 3991, 4061, 4093, 4085, 4038, 3953, 3830,
3673, 3485, 3269, 3029, 2770, 2497, 2216, 1931, 1649, 1374,
1112, 868, 648, 454, 291, 162, 69, 15, 0, 25,
89, 191, 329, 500, 701, 928, 1177, 1443, 1720, 2004,
2289, 2569, 2839, 3093, 3328, 3537, 3718, 3866, 3979, 4055,
4091, 4088, 4046, 3965, 3846, 3693, 3507, 3294, 3056, 2799,
2527, 2245, 1960, 1677, 1400, 1137, 891, 667, 470, 304,
172, 76, 18, 0, 22, 83, 182, 317, 486, 686,
912, 1160, 1425, 1702, 1986, 2272, 2553, 2824, 3080, 3316,
3527, 3710, 3860, 3975, 4052, 4091, 4089, 4048, 3968, 3851,
3698, 3514, 3301, 3063, 2805, 2533, 2252, 1966, 1682, 1405,
1141, 894, 669, 472, 305, 172, 76, 18, 0, 22,
83, 182, 318, 488, 688, 914, 1163, 1429, 1707, 1992,
2277, 2559, 2830, 3086, 3322, 3533, 3715, 3864, 3978, 4054,
4091, 4088, 4046, 3964, 3845, 3690, 3504, 3289, 3050, 2791,
2518, 2235, 1949, 1665, 1388, 1124, 878, 655, 459, 295,
164, 70, 15, 0, 25, 90, 192, 331, 504, 707,
936, 1187, 1455, 1734, 2020, 2306, 2587, 2857, 3112, 3346,
3554, 3733, 3879, 3989, 4061, 4093, 4085, 4038, 3951, 3827,
3668, 3478, 3259, 3017, 2755, 2480, 2196, 1909, 1625, 1349,
1087, 844, 624, 432, 272, 147, 59, 10, 2, 33,
104, 213, 358, 536, 744, 978, 1232, 1503, 1784, 2071,
2357, 2637, 2905, 3157, 3387, 3590, 3763, 3903, 4006, 4070,
4095, 4079, 4024, 3929, 3798, 3632, 3434, 3210, 2963, 2697,
2419, 2134, 1847, 1563, 1290, 1031, 792, 578, 393, 240,
123, 44, 5, 5, 46, 127, 245, 399, 585, 800,
1040, 1299, 1574, 1857, 2145, 2430, 2708, 2973, 3220, 3444,
3640, 3804, 3934, 4027, 4081, 4094, 4068, 4001, 3896, 3754,
3578, 3372, 3141, 2887, 2617, 2336, 2049, 1761, 1480, 1210,
956, 724, 518, 342, 200, 94, 28, 1, 14, 68,
161, 291, 456, 652, 876, 1123, 1389, 1667, 1954, 2242,
2526, 2800, 3060, 3300, 3515, 3701, 3854, 3971, 4051, 4090,
4090, 4048, 3967, 3848, 3694, 3506, 3290, 3049, 2789, 2513,
2229, 1940, 1654, 1376, 1111, 864, 641, 446, 283, 154,
64, 12, 1, 31, 100, 208, 353, 531, 740, 974,
1230, 1502, 1785, 2073, 2360, 2642, 2911, 3164, 3394, 3598,
3770, 3909, 4010, 4073, 4095, 4076, 4018, 3920, 3784, 3615,
3414, 3186, 2935, 2667, 2386, 2098, 1810, 1526, 1253, 995,
758, 547, 366, 218, 107, 34, 2, 10, 59, 147,
273, 435, 628, 850, 1096, 1361, 1639, 1926, 2215, 2501,
2777, 3040, 3282, 3500, 3689, 3845, 3965, 4047, 4089, 4091,
4051, 3972, 3854, 3701, 3514, 3298, 3057, 2796, 2520, 2234,
1945, 1658, 1378, 1112, 865, 641, 445, 282, 153, 62,
12, 1, 32, 103, 213, 359, 539, 750, 986, 1244,
1517, 1801, 2091, 2379, 2661, 2930, 3182, 3411, 3613, 3784,
3919, 4018, 4077, 4095, 4072, 4009, 3907, 3767, 3593, 3388,
3156, 2902, 2630, 2347, 2058, 1769, 1486, 1213, 958, 724,
516, 340, 197, 92, 26, 0, 16, 72, 168, 301,
470, 670, 898, 1149, 1418, 1699, 1988, 2278, 2563, 2838,
3097, 3335, 3547, 3729, 3877, 3989, 4061, 4093, 4084, 4034,
3945, 3817, 3653, 3457, 3233, 2985, 2719, 2438, 2150, 1860,
1573, 1296, 1034, 793, 577, 390, 237, 120, 41, 4,
7, 51, 136, 259, 418, 610, 830, 1076, 1341, 1620,
1907, 2198, 2485, 2764, 3029, 3273, 3493, 3684, 3841, 3963,
4046, 4089, 4091, 4051, 3971, 3852, 3697, 3509, 3291, 3048,
2785, 2507, 2220, 1929, 1640, 1360, 1094, 847, 624, 430,
268, 143, 55, 8, 3, 38, 114, 229, 381, 567,
782, 1023, 1285, 1562, 1849, 2140, 2429, 2710, 2978, 3227,
3453, 3650, 3814, 3943, 4034, 4084, 4093, 4061, 3988, 3876,
3727, 3544, 3330, 3091, 2830, 2554, 2267, 1976, 1687, 1404,
1135, 884, 657, 457, 290, 159, 66, 13, 1, 31,
101, 211, 358, 540, 752, 990, 1250, 1526, 1812, 2103,
2393, 2677, 2947, 3199, 3428, 3629, 3798, 3931, 4026, 4081,
4094, 4066, 3998, 3889, 3743, 3563, 3352, 3114, 2855, 2580,
2293, 2002, 1711, 1427, 1156, 903, 673, 472, 302, 167,
71, 15, 0, 27, 95, 203, 348, 528, 739, 976,
1235, 1511, 1797, 2089, 2380, 2664, 2935, 3189, 3419, 3621,
3792, 3927, 4023, 4080, 4095, 4068, 4000, 3892, 3747, 3567,
3357, 3119, 2860, 2584, 2297, 2005, 1714, 1430, 1158, 905,
674, 472, 302, 167, 71, 15, 0, 28, 96, 205,
350, 531, 742, 981, 1240, 1517, 1804, 2096, 2388, 2672,
2943, 3197, 3426, 3628, 3798, 3931, 4026, 4081, 4094, 4066,
3996, 3886, 3739, 3557, 3344, 3105, 2844, 2567, 2279, 1987,
1695, 1411, 1140, 888, 659, 458, 290, 158, 65, 12,
1, 32, 104, 216, 365, 549, 763, 1004, 1266, 1544,
1833, 2126, 2417, 2701, 2971, 3222, 3450, 3648, 3814, 3944,
4035, 4085, 4093, 4059, 3984, 3870, 3718, 3532, 3315, 3072,
2808, 2529, 2240, 1947, 1655, 1372, 1103, 853, 628, 431,
268, 142, 54, 8, 3, 41, 119, 237, 393, 582,
802, 1047, 1312, 1593, 1883, 2177, 2468, 2750, 3018, 3266,
3489, 3682, 3841, 3964, 4047, 4090, 4090, 4048, 3965, 3843,
3683, 3490, 3267, 3020, 2752, 2469, 2178, 1884, 1594, 1313,
1047, 802, 582, 392, 237, 119, 40, 3, 8, 55,
143, 271, 435, 632, 858, 1109, 1380, 1664, 1956, 2250,
2540, 2819, 3083, 3325, 3541, 3726, 3877, 3990, 4063, 4094,
4083, 4030, 3936, 3803, 3633, 3431, 3201, 2946, 2673, 2388,
2095, 1801, 1512, 1234, 973, 734, 523, 342, 198, 91,
25, 0, 18, 78, 178, 318, 493, 700, 935, 1193,
1469, 1757, 2050, 2344, 2632, 2907, 3165, 3400, 3606, 3781,
3919, 4019, 4078, 4095, 4069, 4002, 3894, 3748, 3567, 3354,
3114, 2852, 2573, 2284, 1989, 1696, 1410, 1137, 883, 653,
452, 285, 153, 61, 10, 2, 36, 111, 227, 381,
569, 788, 1033, 1299, 1581, 1872, 2167, 2459, 2743, 3013,
3262, 3487, 3681, 3842, 3965, 4048, 4090, 4089, 4046, 3962,
3837, 3676, 3480, 3255, 3005, 2735, 2450, 2157, 1862, 1570,
1289, 1023, 779, 561, 374, 222, 107, 33, 1, 12,
65, 159, 293, 463, 666, 898, 1154, 1428, 1715, 2010,
2305, 2594, 2873, 3134, 3373, 3583, 3762, 3906, 4010, 4074,
4095, 4074, 4010, 3906, 3762, 3583, 3372, 3133, 2872, 2594,
2304, 2008, 1714, 1426, 1152, 896, 664, 461, 291, 158,
64, 11, 2, 34, 109, 225, 378, 567, 786, 1032,
1299, 1581, 1873, 2169, 2463, 2748, 3018, 3268, 3492, 3686,
3846, 3968, 4051, 4091, 4088, 4043, 3956, 3829, 3665, 3467,
3240, 2987, 2714, 2428, 2134, 1838, 1546, 1265, 1000, 757,
541, 357, 208, 97, 28, 0, 16, 74, 174, 313,
488, 696, 932, 1191, 1469, 1759, 2054, 2350, 2639, 2916,
3175, 3410, 3617, 3790, 3927, 4025, 4081, 4094, 4065, 3993,
3880, 3729, 3542, 3325, 3080, 2814, 2531, 2238, 1942, 1647,
1361, 1090, 838, 612, 416, 254, 130, 46, 5, 6,
50, 136, 263, 427, 625, 853, 1106, 1378, 1665, 1960,
2257, 2550, 2832, 3097, 3340, 3556, 3741, 3890, 4000, 4068,
4095, 4078, 4018, 3917, 3777, 3600, 3391, 3153, 2891, 2613,
2322, 2025, 1729, 1439, 1163, 905, 671, 466, 294, 159,
65, 12, 2, 35, 110, 227, 381, 571, 792, 1040,
1309, 1593, 1887, 2185, 2480, 2765, 3035, 3285, 3508, 3701,
3858, 3978, 4056, 4093, 4086, 4035, 3943, 3811, 3642, 3439,
3206, 2949, 2673, 2384, 2087, 1790, 1498, 1218, 955, 716,
504, 325, 183, 80, 19, 0, 25, 93, 202, 350,
534, 750, 994, 1260, 1542, 1835, 2133, 2429, 2717, 2991,
3245, 3473, 3671, 3835, 3961, 4047, 4090, 4089, 4046, 3960,
3834, 3669, 3471, 3242, 2988, 2713, 2425, 2129, 1831, 1537,
1255, 989, 746, 530, 346, 199, 90, 24, 0, 20,
83, 187, 331, 511, 725, 966, 1230, 1511, 1804, 2103,
2400, 2689, 2965, 3221, 3453, 3654, 3822, 3952, 4041, 4088,
4091, 4051, 3969, 3845, 3684, 3487, 3260, 3007, 2734, 2446,
2149, 1851, 1556, 1272, 1005, 760, 542, 356, 206, 95,
26, 0, 18, 79, 181, 324, 503, 715, 956, 1220,
1501, 1794, 2093, 2390, 2681, 2957, 3215, 3447, 3650, 3819,
3949, 4040, 4087, 4091, 4052, 3970, 3847, 3685, 3489, 3261,
3008, 2734, 2446, 2149, 1850, 1555, 1271, 1003, 757, 539,
354, 204, 94, 25, 0, 19, 80, 184, 328, 508,
722, 964, 1228, 1511, 1805, 2104, 2402, 2692, 2969, 3226,
3457, 3659, 3826, 3955, 4043, 4089, 4090, 4049, 3964, 3838,
3674, 3475, 3246, 2990, 2715, 2425, 2128, 1828, 1533, 1250,
983, 739, 523, 340, 193, 86, 21, 0, 22, 88,
196, 344, 528, 745, 989, 1257, 1541, 1836, 2136, 2434,
2723, 2998, 3253, 3482, 3680, 3843, 3968, 4051, 4091, 4088,
4040, 3950, 3819, 3650, 3446, 3213, 2954, 2676, 2384, 2085,
1786, 1492, 1210, 945, 705, 493, 315, 174, 73, 15,
1, 30, 103, 218, 372, 562, 784, 1033, 1304, 1591,
1888, 2189, 2486, 2774, 3046, 3297, 3521, 3713, 3869, 3987,
4062, 4094, 4082, 4026, 3927, 3788, 3612, 3401, 3162, 2898,
2616, 2322, 2022, 1723, 1430, 1151, 891, 656, 451, 281,
148, 57, 8, 3, 43, 126, 250, 413, 612, 841,
1096, 1372, 1663, 1962, 2262, 2558, 2843, 3111, 3356, 3573,
3757, 3903, 4010, 4074, 4095, 4071, 4004, 3894, 3744, 3558,
3339, 3092, 2822, 2536, 2239, 1938, 1640, 1350, 1075, 821,
594, 398, 238, 117, 38, 2, 11, 63, 159, 295,
470, 678, 917, 1179, 1461, 1755, 2056, 2356, 2650, 2931,
3192, 3429, 3636, 3809, 3943, 4036, 4086, 4092, 4054, 3972,
3848, 3685, 3487, 3258, 3002, 2726, 2434, 2135, 1833, 1537,
1251, 982, 737, 520, 336, 190, 83, 20, 0, 25,
94, 205, 356, 544, 764, 1013, 1284, 1571, 1869, 2171,
2470, 2760, 3035, 3288, 3514, 3708, 3866, 3985, 4061, 4094,
4082, 4026, 3927, 3787, 3609, 3397, 3156, 2891, 2607, 2311,
2009, 1709, 1415, 1136, 876, 641, 438, 269, 139, 51,
6, 5, 49, 137, 266, 434, 637, 871, 1131, 1410,
1704, 2005, 2307, 2603, 2887, 3153, 3395, 3607, 3785, 3926,
4025, 4082, 4094, 4061, 3985, 3866, 3707, 3512, 3286, 3032,
2756, 2466, 2166, 1863, 1565, 1277, 1006, 757, 537, 350,
200, 90, 23, 0, 22, 88, 197, 347, 533, 753,
1001, 1272, 1560, 1859, 2161, 2462, 2753, 3029, 3283, 3510,
3706, 3865, 3984, 4061, 4094, 4082, 4025, 3926, 3785, 3606,
3393, 3150, 2884, 2599, 2302, 1999, 1697, 1403, 1124, 864,
630, 428, 261, 133, 47, 4, 7, 54, 145, 278,
450, 656, 893, 1156, 1438, 1733, 2036, 2338, 2634, 2918,
3182, 3421, 3630, 3805, 3941, 4035, 4086, 4092, 4053, 3970,
3845, 3680, 3480, 3248, 2989, 2710, 2417, 2115, 1812, 1514,
1227, 959, 714, 499, 318, 175, 73, 15, 1, 32,
108, 226, 384, 579, 806, 1060, 1337, 1629, 1930, 2233,
2533, 2822, 3094, 3343, 3563, 3750, 3900, 4008, 4074, 4095,
4071, 4002, 3890, 3738, 3548, 3326, 3075, 2801, 2511, 2211,
1907, 1606, 1315, 1040, 787, 562, 370, 214, 99, 28,
0, 18, 81, 187, 334, 519, 737, 985, 1256, 1544,
1844, 2148, 2450, 2743, 3021, 3277, 3506, 3703, 3863, 3983,
4061, 4094, 4082, 4024, 3924, 3781, 3601, 3386, 3141, 2872,
2585, 2286, 1982, 1680, 1385, 1105, 846, 613, 412, 248,
123, 40, 3, 10, 62, 159, 297, 474, 686, 928,
1194, 1480, 1778, 2082, 2386, 2682, 2964, 3225, 3461, 3665,
3834, 3962, 4049, 4091, 4088, 4039, 3947, 3812, 3638, 3429,
3189, 2924, 2640, 2342, 2038, 1734, 1437, 1153, 890, 652,
445, 273, 141, 51, 6, 6, 51, 140, 272, 443,
650, 888, 1152, 1435, 1733, 2037, 2341, 2639, 2924, 3189,
3429, 3639, 3812, 3947, 4040, 4088, 4091, 4048, 3961, 3831,
3662, 3457, 3220, 2958, 2675, 2378, 2073, 1769, 1470, 1184,
918, 676, 465, 289, 153, 58, 8, 4, 44, 130,
258, 426, 630, 866, 1128, 1410, 1707, 2011, 2316, 2616,
2902, 3170, 3412, 3624, 3801, 3939, 4035, 4086, 4092, 4052,
3968, 3841, 3673, 3470, 3235, 2973, 2690, 2394, 2089, 1784,
1484, 1197, 929, 686, 473, 296, 157, 61, 9, 3,
42, 126, 253, 421, 624, 859, 1121, 1404, 1701, 2006,
2311, 2611, 2898, 3166, 3410, 3622, 3800, 3938, 4034, 4086,
4092, 4052, 3968, 3840, 3672, 3468, 3233, 2970, 2687, 2390,
2085, 1779, 1479, 1192, 924, 681, 469, 292, 154, 59,
8, 4, 44, 130, 259, 428, 633, 870, 1133, 1417,
1714, 2020, 2326, 2626, 2912, 3180, 3422, 3633, 3809, 3945,
4039, 4088, 4091, 4048, 3960, 3830, 3659, 3453, 3214, 2950,
2665, 2366, 2061, 1754, 1455, 1169, 902, 661, 452, 278,
144, 53, 6, 5, 51, 141, 274, 447, 656, 896,
1162, 1448, 1748, 2054, 2360, 2659, 2945, 3210, 3449, 3656,
3828, 3959, 4047, 4091, 4088, 4039, 3946, 3809, 3633, 3422,
3179, 2911, 2624, 2323, 2016, 1710, 1412, 1128, 864, 627,
423, 254, 127, 42, 3, 10, 62, 160, 300, 480,
694, 940, 1210, 1499, 1801, 2108, 2414, 2712, 2994, 3256,
3490, 3691, 3856, 3979, 4059, 4094, 4082, 4024, 3922, 3778,
3594, 3375, 3127, 2854, 2563, 2260, 1952, 1647, 1350, 1069,
811, 580, 383, 223, 104, 29, 0, 18, 81, 188,
338, 526, 749, 1001, 1277, 1570, 1874, 2182, 2487, 2782,
3061, 3316, 3543, 3736, 3891, 4004, 4072, 4095, 4071, 4002,
3888, 3733, 3539, 3312, 3056, 2777, 2482, 2176, 1868, 1564,
1271, 995, 743, 521, 333, 185, 78, 16, 1, 31,
108, 228, 390, 589, 821, 1082, 1364, 1662, 1968, 2276,
2579, 2870, 3143, 3390, 3607, 3789, 3931, 4030, 4085, 4092,
4054, 3970, 3842, 3674, 3468, 3230, 2966, 2680, 2380, 2073,
1765, 1463, 1174, 906, 663, 452, 277, 143, 51, 6,
6, 53, 146, 281, 457, 669, 913, 1182, 1471, 1773,
2082, 2389, 2689, 2974, 3239, 3476, 3680, 3848, 3974, 4056,
4093, 4083, 4027, 3925, 3781, 3597, 3378, 3129, 2855, 2562,
2258, 1949, 1642, 1345, 1063, 804, 573, 376, 217, 100,
27, 0, 20, 86, 197, 351, 543, 769, 1025, 1304,
1600, 1906, 2215, 2521, 2816, 3093, 3346, 3570, 3759, 3909,
4016, 4078, 4094, 4064, 3987, 3865, 3703, 3502, 3268, 3006,
2722, 2423, 2115, 1806, 1502, 1211, 938, 691, 476, 296,
156, 59, 8, 4, 46, 135, 267, 439, 649, 891,
1159, 1447, 1750, 2059, 2368, 2669, 2956, 3223, 3463, 3670,
3840, 3969, 4054, 4092, 4084, 4030, 3930, 3786, 3603, 3384,
3135, 2860, 2567, 2262, 1952, 1644, 1346, 1063, 803, 572,
375, 215, 98, 26, 0, 21, 89, 201, 356, 550,
778, 1036, 1316, 1614, 1921, 2232, 2538, 2833, 3109, 3362,
3584, 3771, 3918, 4023, 4081, 4094, 4059, 3978, 3852, 3685,
3480, 3242, 2977, 2691, 2389, 2080, 1770, 1466, 1176, 906,
662, 450, 274, 140, 49, 5, 7, 57, 152, 291,
470, 686, 933, 1206, 1498, 1803, 2114, 2423, 2723, 3008,
3271, 3505, 3706, 3869, 3989, 4065, 4095, 4077, 4012, 3902,
3749, 3557, 3330, 3074, 2794, 2496, 2189, 1878, 1570, 1274,
996, 742, 518, 329, 181, 75, 14, 1, 35, 116,
241, 407, 612, 850, 1116, 1403, 1705, 2015, 2326, 2630,
2921, 3191, 3436, 3648, 3823, 3957, 4047, 4091, 4087, 4036,
3940, 3799, 3618, 3401, 3152, 2877, 2584, 2278, 1967, 1657,
1357, 1072, 810, 577, 378, 217, 99, 26, 0, 21,
89, 203, 359, 555, 785, 1044, 1327, 1626, 1935, 2247,
2554, 2849, 3126, 3378, 3599, 3784, 3928, 4029, 4084, 4092,
4053, 3967, 3836, 3664, 3454, 3212, 2942, 2652, 2348, 2037,
1726, 1422, 1133, 866, 625, 418, 248, 121, 38, 2,
13, 72, 176, 324, 512, 736, 990, 1269, 1566, 1874,
2186, 2495, 2794, 3075, 3332, 3560, 3752, 3905, 4014, 4078,
4094, 4063, 3985, 3862, 3696, 3493, 3255, 2989, 2702, 2399,
2088, 1776, 1470, 1178, 906, 661, 448, 272, 137, 47,
4, 8, 60, 158, 300, 483, 703, 953, 1229, 1525,
1832, 2145, 2455, 2756, 3040, 3301, 3533, 3731, 3888, 4003,
4073, 4095, 4069, 3996, 3878, 3717, 3517, 3282, 3019, 2733,
2431, 2120, 1808, 1501, 1206, 932, 683, 466, 286, 148,
54, 6, 6, 54, 148, 287, 467, 684, 933, 1208,
1502, 1810, 2122, 2434, 2736, 3022, 3285, 3519, 3719, 3880,
3998, 4070, 4095, 4072, 4002, 3885, 3726, 3528, 3294, 3032,
2746, 2445, 2133, 1820, 1512, 1217, 941, 691, 473, 292,
151, 56, 7, 5, 52, 146, 284, 463, 680, 928,
1203, 1498, 1806, 2119, 2431, 2733, 3020, 3284, 3519, 3719,
3880, 3998, 4070, 4095, 4072, 4001, 3884, 3724, 3525, 3291,
3028, 2742, 2439, 2128, 1814, 1506, 1210, 935, 685, 467,
287, 148, 53, 6, 6, 55, 150, 290, 471, 690,
940, 1216, 1512, 1821, 2135, 2447, 2749, 3035, 3298, 3531,
3729, 3888, 4004, 4073, 4095, 4068, 3994, 3874, 3712, 3509,
3273, 3007, 2719, 2415, 2103, 1789, 1481, 1186, 912, 665,
450, 273, 137, 47, 4, 9, 62, 162, 306, 492,
714, 968, 1247, 1545, 1855, 2169, 2481, 2782, 3066, 3326,
3556, 3751, 3905, 4015, 4078, 4094, 4062, 3982, 3856, 3687,
3480, 3239, 2969, 2678, 2372, 2059, 1745, 1438, 1145, 874,
631, 421, 250, 121, 37, 1, 14, 75, 182, 333,
525, 753, 1012, 1295, 1596, 1908, 2223, 2534, 2833, 3114,
3369, 3594, 3781, 3928, 4030, 4085, 4092, 4050, 3961, 3827,
3650, 3436, 3189, 2914, 2619, 2311, 1996, 1682, 1377, 1088,
822, 585, 382, 219, 99, 26, 0, 23, 94, 211,
372, 573, 809, 1074, 1362, 1667, 1980, 2295, 2604, 2901,
3176, 3425, 3642, 3820, 3957, 4048, 4091, 4086, 4033, 3932,
3787, 3600, 3376, 3121, 2840, 2541, 2229, 1914, 1601, 1299,
1015, 756, 527, 334, 182, 74, 14, 1, 38, 122,
252, 425, 636, 881, 1154, 1448, 1756, 2071, 2386, 2693,
2984, 3253, 3493, 3699, 3866, 3989, 4066, 4095, 4075, 4007,
3892, 3733, 3534, 3300, 3035, 2748, 2443, 2129, 1813, 1503,
1205, 928, 678, 460, 279, 142, 49, 4, 8, 61,
161, 306, 493, 716, 972, 1253, 1553, 1865, 2182, 2495,
2797, 3082, 3342, 3571, 3763, 3915, 4022, 4082, 4093, 4056,
3970, 3838, 3664, 3451, 3205, 2930, 2635, 2326, 2010, 1694,
1388, 1097, 828, 589, 385, 221, 100, 26, 0, 23,
95, 213, 376, 578, 815, 1082, 1372, 1679, 1994, 2310,
2620, 2917, 3192, 3441, 3656, 3832, 3965, 4053, 4093, 4083,
4025, 3919, 3769, 3577, 3349, 3089, 2805, 2502, 2188, 1871,
1558, 1257, 975, 719, 494, 307, 161, 61, 8, 4,
50, 143, 282, 463, 683, 935, 1214, 1513, 1825, 2142,
2457, 2762, 3050, 3313, 3547, 3744, 3901, 4013, 4078, 4094,
4061, 3980, 3852, 3681, 3470, 3225, 2952, 2657, 2348, 2031,
1715, 1406, 1113, 843, 601, 395, 228, 104, 28, 0,
22, 92, 209, 371, 572, 810, 1077, 1368, 1675, 1991,
2308, 2619, 2916, 3193, 3442, 3657, 3833, 3967, 4054, 4093,
4082, 4023, 3916, 3764, 3570, 3340, 3079, 2792, 2488, 2173,
1855, 1542, 1241, 959, 704, 481, 295, 152, 55, 6,
6, 56, 153, 296, 482, 705, 961, 1243, 1544, 1858,
2176, 2491, 2796, 3082, 3343, 3573, 3766, 3918, 4024, 4083,
4093, 4053, 3964, 3829, 3652, 3435, 3185, 2907, 2609, 2296,
1978, 1662, 1355, 1064, 798, 561, 361, 201, 86, 19,
0, 32, 112, 238, 409, 619, 864, 1138, 1433, 1744,
2062, 2379, 2689, 2983, 3254, 3496, 3703, 3870, 3993, 4068,
4095, 4072, 4000, 3880, 3717, 3512, 3272, 3003, 2710, 2401,
2084, 1765, 1454, 1157, 881, 634, 421, 248, 118, 35,
1, 16, 81, 194, 352, 550, 785, 1051, 1341, 1649,
1965, 2284, 2597, 2897, 3176, 3428, 3646, 3826, 3962, 4051,
4092, 4084, 4025, 3919, 3767, 3573, 3343, 3080, 2793, 2487,
2171, 1852, 1537, 1235, 953, 697, 474, 289, 148, 52,
5, 8, 60, 161, 308, 497, 723, 983, 1268, 1572,
1887, 2207, 2523, 2827, 3112, 3371, 3598, 3787, 3934, 4035,
4087, 4090, 4043, 3947, 3805, 3620, 3397, 3140, 2858, 2555,
2240, 1920, 1603, 1298, 1010, 748, 517, 324, 173, 68,
10, 3, 46, 137, 275, 457, 677, 931, 1212, 1513,
1827, 2147, 2465, 2772, 3062, 3326, 3560, 3757, 3911, 4021,
4082, 4093, 4054, 3967, 3832, 3654, 3436, 3184, 2905, 2605,
2291, 1971, 1653, 1344, 1053, 786, 550, 350, 193, 80,
16, 1, 37, 121, 253, 429, 645, 894, 1173, 1472,
1786, 2106, 2425, 2734, 3027, 3295, 3533, 3735, 3895, 4010,
4077, 4094, 4061, 3979, 3849, 3675, 3461, 3213, 2936, 2637,
2323, 2003, 1684, 1374, 1080, 810, 571, 367, 205, 88,
19, 0, 32, 112, 241, 413, 626, 874, 1150, 1449,
1762, 2082, 2402, 2713, 3007, 3278, 3519, 3723, 3886, 4005,
4075, 4095, 4065, 3985, 3857, 3686, 3473, 3226, 2950, 2651,
2338, 2017, 1698, 1387, 1092, 820, 579, 374, 210, 91,
21, 0, 30, 109, 237, 408, 621, 868, 1144, 1443,
1756, 2077, 2397, 2709, 3004, 3275, 3517, 3722, 3886, 4004,
4074, 4095, 4065, 3985, 3857, 3685, 3472, 3224, 2948, 2649,
2335, 2014, 1694, 1382, 1087, 816, 575, 370, 207, 89,
20, 0, 31, 112, 241, 414, 628, 877, 1155, 1454,
1769, 2090, 2410, 2721, 3016, 3287, 3527, 3731, 3892, 4009,
4077, 4094, 4062, 3979, 3848, 3673, 3458, 3208, 2929, 2629,
2314, 1992, 1672, 1361, 1067, 797, 558, 356, 196, 82,
16, 1, 36, 122, 254, 432, 649, 901, 1181, 1483,
1799, 2121, 2441, 2751, 3044, 3313, 3550, 3749, 3907, 4018,
4081, 4093, 4055, 3966, 3831, 3650, 3431, 3176, 2894, 2591,
2274, 1952, 1632, 1322, 1031, 764, 529, 333, 178, 70,
11, 3, 45, 137, 277, 460, 683, 940, 1225, 1529,
1847, 2170, 2489, 2798, 3088, 3352, 3584, 3778, 3928, 4032,
4087, 4090, 4043, 3947, 3803, 3615, 3389, 3129, 2842, 2536,
2217, 1894, 1575, 1267, 979, 718, 490, 300, 154, 55,
6, 7, 59, 161, 310, 502, 733, 996, 1285, 1594,
1914, 2237, 2555, 2861, 3147, 3405, 3629, 3814, 3955, 4048,
4092, 4084, 4026, 3918, 3764, 3567, 3332, 3065, 2773, 2462,
2141, 1818, 1501, 1197, 914, 660, 440, 260, 125, 38,
1, 15, 80, 194, 355, 557, 797, 1068, 1364, 1676,
1998, 2321, 2638, 2939, 3219, 3469, 3683, 3857, 3985, 4065,
4095, 4073, 4001, 3880, 3713, 3504, 3259, 2984, 2685, 2370,
2047, 1725, 1410, 1111, 836, 591, 382, 215, 94, 22,
0, 30, 110, 239, 413, 628, 879, 1159, 1461, 1778,
2101, 2424, 2736, 3032, 3303, 3542, 3745, 3904, 4017, 4081,
4093, 4055, 3966, 3829, 3647, 3425, 3169, 2884, 2579, 2260,
1936, 1614, 1304, 1012, 746, 513, 318, 167, 62, 8,
5, 53, 151, 297, 487, 716, 979, 1268, 1577, 1898,
2222, 2542, 2850, 3137, 3398, 3624, 3811, 3953, 4047, 4092,
4084, 4026, 3918, 3763, 3564, 3328, 3059, 2765, 2453, 2131,
1806, 1488, 1183, 901, 647, 428, 250, 118, 34, 1,
19, 88, 207, 372, 579, 823, 1098, 1397, 1712, 2036,
2360, 2676, 2977, 3254, 3500, 3710, 3878, 4000, 4073, 4095,
4065, 3984, 3854, 3679, 3463, 3211, 2930, 2626, 2308, 1983,
1660, 1346, 1050, 780, 541, 341, 183, 73, 12, 3,
45, 138, 279, 465, 691, 951, 1238, 1547, 1867, 2193,
2515, 2824, 3115, 3378, 3608, 3798, 3944, 4043, 4090, 4086,
4031, 3925, 3772, 3576, 3340, 3072, 2778, 2466, 2143, 1817,
1498, 1192, 908, 653, 433, 253, 120, 35, 1, 18,
88, 206, 372, 580, 825, 1101, 1400, 1717, 2042, 2367,
2683, 2984, 3261, 3507, 3717, 3884, 4004, 4075, 4095, 4062,
3979, 3846, 3668, 3449, 3195, 2911, 2605, 2285, 1959, 1636,
1323, 1028, 759, 522, 325, 171, 65, 9, 5, 52,
151, 297, 488, 718, 983, 1274, 1585, 1908, 2234, 2555,
2864, 3152, 3412, 3637, 3822, 3962, 4053, 4093, 4081, 4018,
3904, 3743, 3539, 3297, 3024, 2725, 2410, 2085, 1759, 1440,
1137, 857, 607, 394, 223, 99, 24, 0, 29, 109,
238, 413, 630, 884, 1166, 1471, 1791, 2118, 2442, 2757,
3053, 3324, 3563, 3763, 3919, 4027, 4085, 4091, 4045, 3948,
3803, 3613, 3383, 3118, 2827, 2516, 2193, 1866, 1543, 1234,
945, 684, 459, 273, 133, 42, 2, 14, 78, 192,
354, 559, 802, 1077, 1376, 1693, 2019, 2345, 2664, 2967,
3247, 3496, 3708, 3878, 4001, 4074, 4095, 4064, 3981, 3849,
3671, 3451, 3196, 2911, 2604, 2283, 1956, 1631, 1317, 1021,
752, 516, 319, 166, 61, 7, 6, 56, 158, 308,
502, 737, 1004, 1298, 1612, 1937, 2264, 2586, 2894, 3181,
3438, 3660, 3841, 3976, 4061, 4094, 4076, 4005, 3884, 3716,
3505, 3257, 2978, 2675, 2356, 2029, 1702, 1385, 1084, 808,
564, 357, 195, 79, 14, 2, 42, 133, 273, 459,
686, 948, 1238, 1548, 1872, 2200, 2524, 2836, 3128, 3392,
3621, 3810, 3954, 4049, 4092, 4083, 4022, 3909, 3749, 3546,
3303, 3029, 2729, 2411, 2085, 1757, 1437, 1132, 851, 601,
388, 218, 94, 21, 0, 32, 116, 249, 428, 650,
907, 1194, 1502, 1825, 2153, 2479, 2793, 3089, 3357, 3592,
3787, 3938, 4039, 4089, 4087, 4032, 3926, 3772, 3573, 3335,
3064, 2766, 2450, 2123, 1795, 1473, 1166, 882, 627, 409,
234, 105, 27, 0, 26, 105, 233, 409, 626, 881,
1165, 1473, 1795, 2123, 2450, 2766, 3064, 3336, 3574, 3773,
3927, 4033, 4087, 4089, 4038, 3936, 3785, 3589, 3353, 3083,
2787, 2471, 2145, 1816, 1493, 1184, 898, 641, 421, 243,
111, 29, 0, 24, 100, 226, 400, 616, 869, 1153,
1460, 1782, 2111, 2438, 2755, 3054, 3327, 3567, 3767, 3923,
4031, 4087, 4090, 4040, 3939, 3788, 3593, 3358, 3088, 2792,
2476, 2149, 1820, 1496, 1187, 900, 643, 422, 243, 111,
29, 0, 24, 100, 227, 401, 617, 871, 1156, 1463,
1786, 2115, 2443, 2760, 3059, 3332, 3571, 3771, 3926, 4033,
4087, 4089, 4038, 3935, 3783, 3586, 3349, 3078, 2780, 2464,
2136, 1806, 1483, 1174, 888, 632, 412, 236, 106, 27,
0, 27, 106, 235, 412, 632, 888, 1174, 1483, 1807,
2137, 2465, 2782, 3079, 3350, 3587, 3784, 3936, 4039, 4089,
4087, 4032, 3924, 3768, 3567, 3327, 3053, 2753, 2435, 2106,
1776, 1453, 1146, 862, 608, 393, 220, 95, 21, 0,
33, 117, 252, 434, 658, 919, 1208, 1520, 1845, 2176,
2503, 2819, 3114, 3382, 3614, 3806, 3952, 4048, 4092, 4083,
4020, 3906, 3744, 3537, 3291, 3013, 2709, 2388, 2059, 1729,
1407, 1102, 822, 574, 364, 198, 81, 15, 2, 42,
135, 279, 468, 698, 964, 1259, 1574, 1901, 2232, 2558,
2871, 3163, 3425, 3651, 3835, 3973, 4060, 4094, 4075, 4003,
3880, 3708, 3493, 3240, 2956, 2649, 2325, 1994, 1665, 1345,
1044, 769, 528, 326, 170, 63, 8, 6, 58, 162,
315, 514, 753, 1026, 1326, 1644, 1974, 2305, 2629, 2939,
3225, 3480, 3697, 3871, 3998, 4073, 4095, 4063, 3978, 3843,
3661, 3436, 3174, 2884, 2571, 2244, 1912, 1584, 1268, 972,
705, 473, 282, 138, 44, 2, 14, 80, 197, 363,
574, 823, 1104, 1410, 1733, 2064, 2395, 2716, 3020, 3299,
3544, 3750, 3912, 4024, 4084, 4091, 4044, 3945, 3795, 3599,
3363, 3092, 2793, 2475, 2146, 1814, 1488, 1177, 888, 631,
410, 233, 103, 25, 0, 29, 111, 244, 425, 648,
909, 1199, 1512, 1839, 2171, 2500, 2818, 3115, 3383, 3617,
3809, 3955, 4050, 4093, 4081, 4016, 3899, 3733, 3523, 3274,
2992, 2685, 2362, 2030, 1699, 1377, 1072, 793, 548, 342,
181, 69, 10, 4, 53, 154, 305, 502, 740, 1013,
1313, 1632, 1963, 2295, 2621, 2932, 3220, 3477, 3695, 3871,
3997, 4073, 4095, 4062, 3977, 3840, 3656, 3429, 3166, 2873,
2558, 2230, 1897, 1568, 1251, 956, 690, 459, 271, 129,
38, 1, 18, 88, 211, 382, 597, 851, 1136, 1446,
1771, 2104, 2436, 2757, 3059, 3334, 3576, 3777, 3932, 4037,
4089, 4087, 4031, 3923, 3764, 3561, 3317, 3039, 2735, 2413,
2081, 1748, 1423, 1115, 831, 580, 367, 200, 81, 14,
2, 44, 139, 285, 477, 712, 981, 1280, 1598, 1929,
2262, 2590, 2904, 3195, 3455, 3678, 3858, 3989, 4069, 4095,
4067, 3985, 3851, 3669, 3445, 3183, 2891, 2576, 2248, 1914,
1583, 1265, 968, 699, 467, 276, 133, 40, 1, 17,
86, 208, 379, 594, 848, 1134, 1444, 1770, 2104, 2436,
2758, 3061, 3337, 3579, 3779, 3934, 4038, 4090, 4086, 4029,
3919, 3758, 3552, 3306, 3027, 2721, 2397, 2064, 1731, 1406,
1098, 815, 565, 355, 190, 75, 12, 3, 49, 149,
299, 496, 734, 1008, 1309, 1630, 1962, 2296, 2624, 2936,
3225, 3482, 3701, 3876, 4001, 4075, 4094, 4059, 3970, 3830,
3641, 3411, 3143, 2847, 2529, 2198, 1863, 1533, 1217, 923,
659, 433, 249, 113, 30, 0, 25, 104, 236, 415,
639, 900, 1192, 1507, 1836, 2171, 2503, 2822, 3121, 3391,
3625, 3817, 3961, 4054, 4094, 4078, 4008, 3886, 3714, 3498,
3242, 2955, 2643, 2315, 1981, 1647, 1325, 1022, 747, 506,
307, 154, 52, 4, 11, 72, 186, 350, 560, 810,
1093, 1401, 1727, 2062, 2396, 2721, 3028, 3308, 3555, 3761,
3921, 4031, 4087, 4089, 4036, 3929, 3772, 3569, 3324, 3045,
2740, 2416, 2082, 1747, 1420, 1110, 825, 573, 360, 193,
76, 12, 3, 49, 148, 299, 496, 736, 1010, 1313,
1636, 1969, 2305, 2633, 2946, 3235, 3492, 3710, 3883, 4007,
4078, 4094, 4055, 3962, 3818, 3625, 3391, 3120, 2820, 2499,
2166, 1830, 1500, 1185, 892, 631, 408, 230, 100, 23,
0, 33, 120, 259, 446, 677, 944, 1241, 1560, 1893,
2229, 2560, 2878, 3173, 3438, 3665, 3849, 3984, 4067, 4095,
4068, 3986, 3852, 3669, 3443, 3178, 2883, 2566, 2234, 1898,
1565, 1246, 948, 680, 449, 261, 121, 33, 0, 23,
100, 229, 408, 631, 893, 1186, 1502, 1833, 2169, 2503,
2824, 3124, 3395, 3630, 3821, 3965, 4057, 4094, 4076, 4003,
3877, 3702, 3482, 3222, 2931, 2617, 2286, 1949, 1615, 1293,
991, 717, 480, 285, 138, 43, 2, 16, 86, 208,
381, 599, 856, 1145, 1459, 1789, 2126, 2461, 2784, 3088,
3363, 3603, 3801, 3950, 4049, 4093, 4081, 4014, 3894, 3724,
3508, 3252, 2964, 2651, 2322, 1985, 1649, 1325, 1020, 743,
501, 302, 150, 49, 3, 12, 77, 195, 364, 578,
833, 1120, 1432, 1762, 2099, 2435, 2760, 3066, 3344, 3587,
3788, 3941, 4044, 4091, 4084, 4020, 3903, 3736, 3523, 3269,
2982, 2670, 2341, 2003, 1667, 1342, 1035, 756, 512, 311,
156, 53, 4, 11, 73, 189, 356, 569, 823, 1109,
1421, 1751, 2088, 2425, 2751, 3057, 3337, 3581, 3783, 3938,
4042, 4091, 4084, 4022, 3906, 3739, 3526, 3273, 2986, 2673,
2344, 2006, 1670, 1343, 1036, 757, 513, 310, 156, 53,
4, 11, 74, 191, 358, 572, 826, 1113, 1426, 1756,
2094, 2430, 2757, 3063, 3343, 3586, 3788, 3942, 4044, 4092,
4083, 4019, 3901, 3733, 3518, 3263, 2975, 2661, 2330, 1992,
1656, 1330, 1023, 745, 502, 302, 149, 49, 3, 13,
79, 199, 369, 585, 842, 1131, 1446, 1777, 2116, 2452,
2778, 3084, 3361, 3602, 3801, 3951, 4049, 4093, 4080, 4012,
3890, 3717, 3498, 3240, 2949, 2633, 2301, 1962, 1626, 1301,
996, 720, 481, 285, 137, 42, 1, 17, 89, 214,
390, 611, 872, 1165, 1482, 1815, 2154, 2490, 2814, 3118,
3391, 3628, 3821, 3966, 4058, 4094, 4075, 3999, 3870, 3691,
3467, 3203, 2908, 2589, 2255, 1916, 1580, 1257, 955, 684,
450, 261, 120, 32, 0, 24, 104, 238, 421, 649,
915, 1213, 1534, 1869, 2209, 2544, 2866, 3165, 3433, 3664,
3849, 3985, 4068, 4095, 4066, 3981, 3842, 3654, 3422, 3152,
2852, 2529, 2193, 1853, 1518, 1198, 902, 637, 411, 230,
99, 22, 0, 36, 127, 270, 463, 700, 974, 1277,
1602, 1939, 2279, 2613, 2931, 3225, 3486, 3707, 3883, 4008,
4079, 4093, 4051, 3954, 3804, 3606, 3364, 3086, 2780, 2453,
2114, 1774, 1442, 1126, 836, 579, 363, 193, 75, 11,
4, 53, 157, 314, 518, 765, 1048, 1358, 1687, 2026,
2366, 2697, 3010, 3296, 3548, 3758, 3921, 4032, 4088, 4088,
4031, 3919, 3755, 3544, 3291, 3004, 2691, 2359, 2019, 1680,
1351, 1041, 759, 513, 309, 154, 51, 3, 12, 78,
198, 369, 587, 846, 1138, 1455, 1789, 2129, 2468, 2795,
3101, 3378, 3618, 3814, 3961, 4056, 4094, 4076, 4001, 3872,
3693, 3467, 3202, 2906, 2585, 2249, 1908, 1571, 1246, 945,
673, 440, 252, 113, 29, 0, 28, 113, 251, 439,
672, 943, 1245, 1570, 1907, 2249, 2585, 2905, 3203, 3468,
3693, 3873, 4002, 4076, 4094, 4055, 3960, 3812, 3615, 3374,
3096, 2789, 2461, 2122, 1781, 1447, 1130, 838, 580, 363,
193, 74, 11, 4, 54, 160, 319, 525, 774, 1059,
1371, 1702, 2043, 2383, 2715, 3028, 3313, 3563, 3771, 3931,
4038, 4090, 4085, 4023, 3906, 3736, 3520, 3263, 2971, 2654,
2320, 1979, 1639, 1310, 1003, 724, 482, 284, 136, 40,
1, 19, 94, 223, 403, 629, 895, 1193, 1515, 1852,
2194, 2533, 2857, 3159, 3430, 3663, 3850, 3986, 4069, 4095,
4064, 3976, 3834, 3643, 3406, 3132, 2827, 2501, 2161, 1819,
1483, 1163, 867, 605, 383, 207, 83, 14, 2, 48,
149, 304, 507, 754, 1036, 1348, 1678, 2020, 2361, 2695,
3010, 3298, 3551, 3762, 3924, 4035, 4089, 4086, 4026, 3911,
3743, 3528, 3271, 2980, 2663, 2328, 1985, 1645, 1315, 1006,
727, 484, 285, 136, 40, 1, 19, 94, 224, 406,
633, 900, 1199, 1522, 1860, 2204, 2542, 2867, 3169, 3440,
3671, 3856, 3991, 4071, 4095, 4060, 3970, 3825, 3630, 3390,
3113, 2806, 2478, 2137, 1794, 1458, 1138, 844, 584, 366,
194, 75, 11, 4, 55, 162, 323, 531, 783, 1070,
1384, 1718, 2060, 2402, 2735, 3048, 3332, 3581, 3786, 3943,
4046, 4092, 4081, 4013, 3889, 3714, 3491, 3228, 2931, 2610,
2272, 1929, 1588, 1261, 956, 681, 445, 254, 114, 29,
0, 29, 115, 256, 447, 683, 958, 1264, 1592, 1932,
2276, 2614, 2935, 3231, 3494, 3717, 3892, 4015, 4082, 4092,
4044, 3940, 3782, 3575, 3325, 3039, 2725, 2392, 2049, 1706,
1372, 1058, 772, 521, 314, 156, 51, 3, 13, 80,
203, 378, 600, 864, 1160, 1482, 1820, 2164, 2505, 2833,
3139, 3414, 3651, 3841, 3982, 4067, 4095, 4065, 3978, 3836,
3644, 3407, 3130, 2824, 2495, 2153, 1809, 1471, 1150, 854,
592, 371, 197, 76, 11, 4, 55, 162, 323, 532,
785, 1073, 1389, 1724, 2068, 2411, 2744, 3058, 3342, 3590,
3794, 3949, 4049, 4093, 4079, 4007, 3879, 3700, 3473, 3206,
2906, 2582, 2242, 1897, 1556, 1229, 926, 654, 422, 236,
101, 22, 0, 37, 131, 279, 477, 721, 1001, 1312,
1644, 1987, 2331, 2668, 2987, 3280, 3537, 3752, 3918, 4032,
4088, 4087, 4028, 3912, 3743, 3526, 3267, 2973, 2653, 2315,
1970, 1627, 1296, 987, 707, 466, 270, 124, 34, 0,
25, 108, 246, 435, 670, 945, 1250, 1579, 1921, 2267,
2606, 2930, 3228, 3493, 3716, 3892, 4015, 4082, 4092, 4042,
3936, 3776, 3567, 3314, 3025, 2708, 2373, 2028, 1683, 1349,
1035, 750, 502, 298, 144, 44, 2, 17, 91, 221,
403, 632, 902, 1204, 1530, 1871, 2217, 2559, 2885, 3188,
3458, 3688, 3871, 4002, 4077, 4094, 4052, 3953, 3800, 3596,
3348, 3063, 2749, 2415, 2070, 1725, 1388, 1071, 782, 528,
319, 159, 52, 3, 13, 81, 205, 382, 606, 872,
1172, 1496, 1837, 2183, 2526, 2855, 3161, 3434, 3669, 3856,
3992, 4072, 4095, 4058, 3964, 3815, 3615, 3370, 3087, 2775,
2441, 2097, 1750, 1413, 1093, 801, 545, 332, 168, 58,
5, 10, 75, 195, 369, 591, 855, 1154, 1477, 1818,
2165, 2508, 2838, 3146, 3422, 3658, 3849, 3987, 4070, 4095,
4061, 3969, 3821, 3623, 3380, 3098, 2786, 2453, 2108, 1761,
1423, 1102, 809, 551, 337, 171, 60, 5, 10, 73,
193, 366, 588, 851, 1150, 1474, 1814, 2161, 2505, 2836,
3144, 3421, 3658, 3848, 3987, 4070, 4095, 4060, 3968, 3821,
3622, 3378, 3095, 2783, 2449, 2103, 1756, 1418, 1097, 804,
547, 333, 168, 58, 5, 11, 75, 197, 372, 595,
860, 1159, 1485, 1826, 2174, 2518, 2848, 3156, 3431, 3667,
3855, 3992, 4073, 4095, 4057, 3962, 3812, 3610, 3364, 3079,
2765, 2430, 2084, 1736, 1398, 1079, 787, 532, 321, 159,
52, 3, 13, 82, 208, 386, 613, 881, 1183, 1510,
1853, 2201, 2545, 2874, 3180, 3453, 3685, 3869, 4001, 4077,
4094, 4051, 3951, 3795, 3589, 3338, 3050, 2733, 2395, 2048,
1701, 1364, 1047, 758, 507, 301, 145, 44, 1, 18,
94, 226, 410, 643, 916, 1222, 1552, 1896, 2244, 2587,
2915, 3217, 3485, 3712, 3890, 4015, 4083, 4091, 4041, 3932,
3769, 3556, 3299, 3006, 2685, 2346, 1997, 1651, 1315, 1001,
718, 473, 273, 126, 34, 0, 26, 111, 252, 445,
685, 964, 1275, 1608, 1954, 2303, 2644, 2968, 3266, 3527,
3746, 3916, 4031, 4088, 4087, 4025, 3907, 3734, 3512, 3248,
2948, 2623, 2280, 1931, 1585, 1253, 944, 667, 430, 240,
103, 22, 1, 39, 135, 287, 491, 739, 1026, 1343,
1680, 2028, 2376, 2715, 3035, 3325, 3579, 3788, 3946, 4049,
4093, 4078, 4004, 3872, 3688, 3455, 3182, 2875, 2545, 2199,
1850, 1506, 1178, 875, 606, 380, 202, 78, 11, 4,
57, 168, 333, 549, 808, 1103, 1427, 1768, 2117, 2465,
2800, 3113, 3395, 3638, 3834, 3979, 4066, 4095, 4064, 3974,
3828, 3629, 3385, 3101, 2787, 2450, 2103, 1753, 1412, 1090,
795, 538, 324, 161, 53, 3, 13, 83, 210, 391,
620, 892, 1197, 1526, 1872, 2222, 2567, 2897, 3202, 3474,
3703, 3884, 4012, 4081, 4092, 4042, 3934, 3771, 3557, 3299,
3004, 2681, 2340, 1990, 1642, 1306, 991, 707, 463, 265,
119, 30, 0, 30, 119, 265, 463, 708, 991, 1306,
1643, 1991, 2341, 2683, 3006, 3301, 3559, 3772, 3935, 4043,
4092, 4081, 4010, 3882, 3700, 3469, 3197, 2890, 2559, 2213,
1862, 1517, 1187, 882, 612, 384, 204, 79, 12, 4,
57, 168, 334, 551, 812, 1109, 1433, 1776, 2127, 2475,
2811, 3124, 3406, 3648, 3843, 3985, 4069, 4095, 4060, 3966,
3815, 3613, 3364, 3077, 2759, 2420, 2071, 1720, 1380, 1058,
766, 512, 303, 146, 44, 1, 19, 96, 231, 420,
656, 934, 1244, 1578, 1926, 2277, 2622, 2950, 3251, 3516,
3739, 3911, 4029, 4088, 4087, 4026, 3906, 3732, 3508, 3240,
2938, 2609, 2264, 1912, 1565, 1231, 922, 646, 411, 224,
92, 17, 2, 47, 152, 313, 524, 781, 1075, 1398,
1740, 2092, 2442, 2780, 3097, 3382, 3628, 3828, 3975, 4065,
4095, 4065, 3975, 3828, 3628, 3382, 3096, 2779, 2441, 2091,
1739, 1397, 1074, 780, 523, 311, 151, 47, 2, 17,
93, 227, 414, 650, 927, 1238, 1572, 1920, 2273, 2618,
2947, 3249, 3516, 3739, 3912, 4029, 4088, 4087, 4025, 3904,
3729, 3503, 3235, 2931, 2601, 2254, 1902, 1554, 1220, 911,
636, 402, 217, 87, 15, 3, 52, 159, 323, 539,
799, 1096, 1421, 1765, 2117, 2467, 2805, 3120, 3404, 3647,
3843, 3985, 4070, 4095, 4059, 3963, 3810, 3605, 3354, 3064,
2743, 2402, 2051, 1699, 1358, 1037, 746, 494, 288, 134,
37, 0, 24, 108, 250, 445, 688, 972, 1287, 1625,
1975, 2328, 2673, 2998, 3296, 3556, 3772, 3936, 4044, 4092,
4080, 4007, 3876, 3690, 3455, 3179, 2869, 2534, 2185, 1831,
1484, 1154, 851, 583, 359, 185, 66, 7, 8, 71,
192, 368, 595, 865, 1170, 1501, 1849, 2202, 2551, 2885,
3194, 3469, 3701, 3884, 4013, 4082, 4091, 4039, 3927, 3760,
3541, 3278, 2977, 2650, 2304, 1950, 1599, 1262, 948, 667,
428, 236, 99, 20, 1, 44, 146, 306, 517, 774,
1069, 1394, 1738, 2091, 2443, 2783, 3101, 3388, 3634, 3834,
3979, 4067, 4095, 4061, 3967, 3816, 3612, 3361, 3070, 2749,
2407, 2055, 1702, 1359, 1037, 745, 492, 286, 132, 36,
0, 26, 111, 255, 453, 698, 984, 1302, 1642, 1994,
2348, 2692, 3018, 3314, 3573, 3785, 3946, 4050, 4094, 4076,
3998, 3861, 3669, 3429, 3148, 2834, 2496, 2144, 1790, 1443,
1115, 814, 551, 332, 165, 54, 3, 14, 85, 216,
401, 636, 913, 1225, 1561, 1911, 2266, 2614, 2946, 3250,
3518, 3742, 3915, 4032, 4089, 4085, 4020, 3895, 3715, 3485,
3212, 2903, 2569, 2219, 1864, 1515, 1181, 874, 601, 373,
194, 72, 9, 7, 66, 186, 361, 587, 857, 1162,
1495, 1844, 2199, 2550, 2885, 3196, 3471, 3704, 3887, 4015,
4083, 4090, 4036, 3922, 3751, 3529, 3262, 2959, 2628, 2279,
1924, 1572, 1235, 922, 643, 407, 220, 88, 15, 3,
53, 163, 330, 549, 813, 1114, 1443, 1791, 2146, 2499,
2838, 3153, 3434, 3674, 3865, 4001, 4077, 4093, 4047, 3940,
3777, 3561, 3299, 3000, 2672, 2325, 1969, 1616, 1276, 959,
676, 433, 239, 100, 20, 1, 44, 147, 308, 522,
781, 1079, 1406, 1753, 2108, 2462, 2803, 3121, 3407, 3652,
3848, 3990, 4073, 4094, 4054, 3953, 3794, 3583, 3325, 3028,
2702, 2356, 2000, 1646, 1304, 985, 697, 451, 253, 109,
24, 0, 39, 138, 295, 505, 762, 1058, 1384, 1730,
2085, 2440, 2782, 3103, 3391, 3639, 3838, 3983, 4070, 4095,
4058, 3960, 3804, 3595, 3339, 3043, 2718, 2372, 2016, 1661,
1318, 997, 708, 460, 259, 113, 26, 0, 36, 134,
289, 498, 754, 1049, 1375, 1721, 2076, 2431, 2775, 3096,
3386, 3634, 3835, 3981, 4069, 4095, 4059, 3961, 3806, 3597,
3341, 3045, 2720, 2374, 2017, 1662, 1319, 997, 708, 459,
259, 113, 26, 0, 37, 135, 291, 501, 757, 1053,
1379, 1726, 2082, 2438, 2781, 3102, 3391, 3639, 3839, 3984,
4070, 4095, 4057, 3958, 3800, 3590, 3332, 3035, 2708, 2361,
2004, 1649, 1305, 985, 697, 450, 251, 108, 23, 1,
40, 141, 300, 513, 772, 1070, 1398, 1746, 2103, 2458,
2801, 3121, 3408, 3654, 3850, 3992, 4074, 4094, 4052, 3948,
3787, 3572, 3311, 3011, 2682, 2333, 1976, 1621, 1279, 960,
675, 431, 237, 98, 19, 2, 47, 153, 318, 535,
799, 1100, 1431, 1781, 2138, 2493, 2835, 3152, 3436, 3677,
3868, 4003, 4079, 4092, 4043, 3933, 3765, 3545, 3279, 2975,
2642, 2292, 1933, 1579, 1239, 923, 642, 404, 216, 85,
13, 4, 57, 172, 344, 568, 837, 1144, 1478, 1830,
2188, 2542, 2881, 3195, 3473, 3708, 3891, 4018, 4085, 4089,
4031, 3911, 3735, 3507, 3234, 2924, 2588, 2235, 1876, 1523,
1185, 875, 600, 369, 190, 68, 7, 9, 73, 197,
379, 612, 889, 1201, 1540, 1894, 2253, 2605, 2941, 3249,
3520, 3746, 3919, 4036, 4091, 4083, 4012, 3882, 3694, 3457,
3176, 2860, 2519, 2164, 1805, 1453, 1120, 815, 549, 328,
160, 50, 2, 17, 94, 232, 425, 668, 954, 1273,
1616, 1973, 2332, 2682, 3012, 3313, 3575, 3790, 3951, 4054,
4094, 4072, 3987, 3843, 3643, 3394, 3104, 2781, 2435, 2077,
1719, 1370, 1043, 746, 490, 281, 127, 33, 0, 31,
123, 275, 482, 737, 1033, 1360, 1708, 2066, 2424, 2771,
3095, 3387, 3637, 3838, 3984, 4071, 4095, 4055, 3954, 3793,
3579, 3318, 3017, 2686, 2336, 1976, 1619, 1275, 955, 669,
425, 231, 94, 17, 2, 51, 162, 331, 553, 821,
1127, 1462, 1815, 2175, 2531, 2872, 3187, 3468, 3704, 3889,
4018, 4085, 4089, 4030, 3910, 3732, 3502, 3226, 2915, 2576,
2221, 1861, 1506, 1169, 858, 584, 356, 180, 62, 5,
12, 81, 212, 399, 638, 920, 1237, 1580, 1937, 2297,
2650, 2983, 3288, 3555, 3775, 3941, 4048, 4094, 4075, 3994,
3853, 3656, 3408, 3119, 2796, 2450, 2092, 1732, 1382, 1052,
754, 495, 285, 129, 33, 0, 30, 123, 276, 483,
739, 1036, 1364, 1714, 2074, 2433, 2780, 3104, 3396, 3646,
3845, 3990, 4073, 4094, 4051, 3946, 3782, 3564, 3298, 2994,
2661, 2308, 1947, 1589, 1246, 927, 644, 404, 215, 83,
12, 5, 61, 179, 355, 584, 858, 1170, 1509, 1864,
2226, 2581, 2920, 3232, 3508, 3737, 3914, 4033, 4090, 4083,
4013, 3882, 3693, 3454, 3170, 2851, 2508, 2150, 1788, 1435,
1101, 797, 531, 313, 148, 43, 1, 22, 107, 252,
453, 704, 996, 1322, 1670, 2030, 2391, 2741, 3069, 3365,
3620, 3827, 3977, 4068, 4095, 4058, 3959, 3800, 3586, 3324,
3022, 2690, 2338, 1976, 1617, 1271, 950, 663, 419, 226,
90, 15, 3, 56, 171, 344, 571, 844, 1154, 1493,
1849, 2211, 2568, 2909, 3222, 3499, 3731, 3910, 4031, 4089,
4084, 4015, 3885, 3697, 3457, 3173, 2854, 2510, 2151, 1789,
1435, 1100, 795, 529, 311, 147, 42, 1, 23, 109,
256, 459, 711, 1006, 1333, 1682, 2044, 2405, 2755, 3082,
3378, 3631, 3835, 3983, 4071, 4094, 4054, 3951, 3788, 3570,
3305, 3000, 2665, 2311, 1948, 1589, 1244, 924, 640, 400,
211, 80, 11, 6, 64, 186, 365, 598, 876, 1190,
1532, 1890, 2253, 2609, 2948, 3259, 3531, 3757, 3929, 4042,
4092, 4078, 4001, 3861, 3665, 3418, 3128, 2804, 2456, 2095,
1733, 1380, 1049, 749, 489, 279, 125, 31, 0, 34,
131, 289, 501, 763, 1065, 1398, 1751, 2114, 2475, 2822,
3145, 3433, 3678, 3871, 4007, 4081, 4091, 4037, 3920, 3744,
3515, 3239, 2926, 2585, 2227, 1864, 1506, 1165, 853, 577,
348, 173, 57, 4, 15, 90, 227, 421, 667, 956,
1279, 1627, 1988, 2352, 2705, 3038, 3339, 3600, 3812, 3968,
4063, 4095, 4062, 3966, 3809, 3596, 3335, 3032, 2699, 2345,
1982, 1621, 1273, 950, 661, 416, 223, 87, 13, 4,
59, 177, 354, 585, 862, 1176, 1518, 1877, 2241, 2599,
2940, 3252, 3526, 3754, 3927, 4041, 4092, 4079, 4001, 3861,
3664, 3415, 3124, 2798, 2449, 2086, 1723, 1370, 1038, 738,
480, 271, 119, 28, 0, 38, 139, 300, 517, 783,
1088, 1424, 1780, 2144, 2505, 2852, 3173, 3458, 3699, 3888,
4018, 4085, 4088, 4027, 3902, 3719, 3483, 3201, 2882, 2537,
2177, 1812, 1455, 1117, 808, 539, 317, 150, 44, 1,
23, 109, 257, 462, 717, 1014, 1344, 1697, 2061, 2424,
2775, 3103, 3398, 3650, 3851, 3994, 4076, 4093, 4045, 3934,
3763, 3537, 3264, 2952, 2612, 2253, 1888, 1528, 1185, 869,
590, 358, 179, 60, 4, 13, 87, 223, 418, 664,
954, 1279, 1628, 1991, 2356, 2710, 3044, 3346, 3607, 3818,
3972, 4066, 4095, 4059, 3959, 3798, 3581, 3315, 3009, 2672,
2316, 1951, 1589, 1241, 919, 633, 393, 205, 75, 9,
7, 71, 198, 383, 622, 906, 1227, 1573, 1935, 2301,
2658, 2996, 3304, 3571, 3790, 3954, 4056, 4095, 4068, 3976,
3823, 3614, 3354, 3053, 2719, 2364, 1999, 1636, 1285, 959,
668, 421, 225, 88, 14, 4, 60, 179, 358, 591,
871, 1188, 1532, 1894, 2260, 2619, 2960, 3272, 3544, 3769,
3939, 4048, 4094, 4074, 3989, 3842, 3637, 3382, 3084, 2753,
2399, 2034, 1669, 1317, 988, 693, 441, 240, 98, 18,
2, 53, 167, 341, 570, 847, 1162, 1505, 1866, 2232,
2593, 2936, 3250, 3527, 3755, 3929, 4043, 4093, 4077, 3996,
3853, 3652, 3399, 3103, 2773, 2420, 2055, 1689, 1336, 1005,
707, 452, 249, 103, 20, 2, 49, 160, 333, 560,
834, 1148, 1491, 1852, 2218, 2580, 2924, 3240, 3518, 3749,
3925, 4041, 4092, 4078, 3999, 3857, 3657, 3405, 3110, 2780,
2427, 2062, 1696, 1341, 1010, 711, 456, 251, 105, 20,
1, 48, 159, 331, 558, 833, 1147, 1490, 1851, 2219,
2580, 2925, 3241, 3519, 3750, 3926, 4041, 4092, 4078, 3998,
3855, 3654, 3401, 3105, 2775, 2421, 2055, 1689, 1334, 1003,
705, 450, 247, 102, 19, 2, 51, 164, 338, 567,
843, 1159, 1503, 1865, 2233, 2594, 2938, 3254, 3530, 3759,
3932, 4045, 4093, 4075, 3992, 3846, 3642, 3387, 3088, 2756,
2401, 2034, 1668, 1314, 984, 688, 436, 236, 94, 16,
3, 56, 174, 352, 585, 865, 1183, 1529, 1892, 2260,
2621, 2964, 3277, 3550, 3775, 3944, 4051, 4094, 4071, 3982,
3831, 3622, 3362, 3059, 2724, 2367, 2000, 1634, 1281, 953,
661, 414, 219, 84, 12, 6, 66, 190, 374, 613,
898, 1220, 1569, 1933, 2302, 2662, 3002, 3311, 3579, 3798,
3960, 4060, 4095, 4063, 3967, 3808, 3592, 3325, 3018, 2679,
2319, 1951, 1586, 1236, 912, 625, 384, 197, 70, 7,
10, 79, 213, 405, 651, 943, 1270, 1622, 1989, 2357,
2715, 3051, 3355, 3617, 3827, 3980, 4070, 4094, 4052, 3945,
3776, 3551, 3277, 2964, 2620, 2258, 1889, 1525, 1178, 860,
579, 347, 170, 54, 2, 18, 99, 243, 446, 702,
1001, 1334, 1690, 2058, 2425, 2781, 3112, 3409, 3661, 3862,
4003, 4080, 4091, 4036, 3916, 3736, 3500, 3217, 2896, 2547,
2182, 1813, 1451, 1109, 797, 526, 305, 140, 37, 0,
30, 125, 283, 498, 764, 1072, 1411, 1771, 2141, 2507,
2858, 3183, 3471, 3712, 3899, 4026, 4089, 4084, 4014, 3879,
3684, 3437, 3143, 2814, 2460, 2093, 1724, 1365, 1029, 726,
466, 258, 108, 22, 1, 48, 159, 332, 562, 839,
1157, 1503, 1867, 2237, 2601, 2947, 3263, 3540, 3768, 3940,
4050, 4094, 4072, 3983, 3831, 3621, 3360, 3055, 2718, 2359,
1989, 1622, 1268, 940, 648, 402, 209, 77, 9, 8,
73, 204, 394, 639, 929, 1257, 1610, 1977, 2347, 2707,
3046, 3351, 3614, 3826, 3980, 4070, 4094, 4051, 3943, 3772,
3545, 3269, 2953, 2607, 2243, 1872, 1507, 1160, 842, 563,
333, 160, 48, 1, 22, 109, 260, 469, 730, 1034,
1372, 1731, 2101, 2470, 2824, 3153, 3446, 3693, 3886, 4018,
4086, 4087, 4021, 3891, 3699, 3454, 3162, 2834, 2480, 2112,
1742, 1381, 1043, 737, 475, 264, 112, 23, 1, 46,
157, 330, 559, 837, 1155, 1503, 1868, 2239, 2604, 2951,
3268, 3544, 3772, 3943, 4052, 4094, 4070, 3979, 3824, 3611,
3347, 3039, 2700, 2338, 1967, 1599, 1246, 918, 628, 385,
197, 69, 6, 11, 83, 219, 416, 666, 962, 1293,
1650, 2019, 2390, 2749, 3085, 3387, 3645, 3850, 3996, 4078,
4092, 4040, 3921, 3741, 3505, 3222, 2899, 2548, 2181, 1809,
1445, 1101, 789, 517, 297, 133, 34, 0, 34, 134,
298, 519, 791, 1104, 1448, 1813, 2184, 2552, 2903, 3225,
3509, 3744, 3923, 4041, 4093, 4077, 3994, 3847, 3640, 3381,
3078, 2740, 2380, 2009, 1639, 1283, 951, 656, 407, 213,
78, 9, 8, 73, 204, 396, 643, 936, 1266, 1621,
1991, 2363, 2724, 3063, 3368, 3629, 3839, 3989, 4075, 4093,
4044, 3929, 3752, 3518, 3236, 2914, 2563, 2196, 1823, 1458,
1113, 798, 525, 302, 137, 35, 0, 33, 132, 295,
516, 788, 1101, 1446, 1811, 2183, 2552, 2903, 3226, 3510,
3746, 3925, 4042, 4093, 4076, 3992, 3843, 3635, 3374, 3069,
2730, 2369, 1997, 1626, 1270, 939, 645, 398, 205, 74,
8, 9, 79, 214, 409, 659, 955, 1288, 1645, 2017,
2389, 2749, 3087, 3390, 3648, 3853, 3998, 4079, 4092, 4037,
3916, 3732, 3493, 3206, 2880, 2526, 2157, 1784, 1420, 1076,
765, 497, 280, 121, 27, 0, 42, 149, 321, 549,
827, 1146, 1495, 1863, 2236, 2604, 2952, 3271, 3549, 3777,
3947, 4054, 4095, 4067, 3972, 3813, 3595, 3325, 3013, 2669,
2304, 1930, 1561, 1207, 882, 595, 357, 175, 56, 3,
18, 100, 248, 456, 716, 1021, 1361, 1723, 2096, 2467,
2825, 3156, 3451, 3699, 3891, 4023, 4088, 4085, 4014, 3878,
3680, 3428, 3130, 2796, 2437, 2064, 1692, 1331, 994, 692,
435, 232, 90, 14, 5, 64, 190, 378, 621, 912,
1241, 1597, 1969, 2342, 2706, 3048, 3357, 3621, 3834, 3986,
4074, 4093, 4045, 3930, 3751, 3516, 3232, 2908, 2555, 2185,
1811, 1444, 1098, 783, 511, 290, 128, 30, 0, 38,
144, 313, 540, 818, 1137, 1486, 1855, 2229, 2598, 2948,
3268, 3547, 3776, 3947, 4055, 4095, 4066, 3970, 3810, 3590,
3319, 3005, 2659, 2292, 1918, 1547, 1194, 869, 583, 347,
167, 51, 2, 21, 108, 260, 473, 738, 1047, 1389,
1754, 2129, 2500, 2857, 3187, 3478, 3721, 3908, 4033, 4091,
4080, 4001, 3857, 3652, 3393, 3088, 2749, 2386, 2012, 1639,
1280, 946, 650, 400, 206, 73, 7, 10, 81, 218,
417, 670, 970, 1306, 1667, 2041, 2415, 2776, 3114, 3415,
3670, 3871, 4010, 4084, 4089, 4025, 3895, 3702, 3454, 3158,
2826, 2466, 2093, 1718, 1355, 1014, 709, 448, 242, 96,
16, 4, 61, 185, 372, 615, 906, 1236, 1593, 1966,
2341, 2707, 3050, 3360, 3625, 3837, 3989, 4075, 4093, 4042,
3924, 3742, 3504, 3216, 2889, 2533, 2161, 1786, 1419, 1073,
760, 490, 274, 116, 25, 1, 46, 159, 336, 570,
855, 1179, 1533, 1905, 2281, 2649, 2997, 3313, 3586, 3807,
3969, 4066, 4095, 4054, 3946, 3774, 3543, 3262, 2939, 2587,
2216, 1840, 1470, 1121, 802, 526, 300, 135, 33, 0,
36, 140, 309, 536, 815, 1135, 1486, 1856, 2233, 2603,
2955, 3276, 3555, 3783, 3953, 4058, 4095, 4063, 3962, 3797,
3572, 3296, 2978, 2628, 2258, 1881, 1510, 1157, 834, 553,
322, 149, 41, 0, 29, 127, 289, 511, 786, 1103,
1452, 1821, 2198, 2570, 2924, 3248, 3532, 3765, 3941, 4052,
4095, 4068, 3973, 3813, 3593, 3320, 3004, 2656, 2287, 1910,
1537, 1182, 857, 571, 336, 159, 46, 1, 25, 118,
277, 496, 767, 1082, 1430, 1799, 2176, 2549, 2905, 3231,
3518, 3754, 3933, 4047, 4094, 4071, 3979, 3822, 3604, 3333,
3019, 2671, 2303, 1925, 1552, 1196, 868, 581, 343, 164,
49, 1, 23, 114, 271, 489, 759, 1073, 1421, 1789,
2167, 2541, 2897, 3225, 3513, 3751, 3930, 4046, 4094, 4072,
3981, 3824, 3607, 3336, 3022, 2674, 2305, 1928, 1554, 1197,
869, 581, 344, 164, 48, 1, 24, 115, 272, 490,
761, 1076, 1424, 1793, 2171, 2545, 2902, 3229, 3517, 3754,
3933, 4048, 4094, 4071, 3978, 3820, 3601, 3329, 3013, 2665,
2295, 1917, 1543, 1187, 859, 573, 337, 159, 46, 1,
26, 120, 280, 500, 773, 1090, 1440, 1810, 2188, 2562,
2918, 3244, 3530, 3765, 3941, 4052, 4095, 4067, 3971, 3809,
3587, 3312, 2993, 2643, 2272, 1893, 1520, 1164, 839, 555,
323, 149, 40, 0, 30, 129, 294, 519, 796, 1116,
1468, 1840, 2219, 2592, 2946, 3270, 3552, 3782, 3953, 4058,
4095, 4062, 3959, 3791, 3563, 3284, 2961, 2608, 2235, 1856,
1484, 1130, 809, 529, 302, 135, 33, 0, 38, 144,
316, 547, 830, 1154, 1509, 1883, 2262, 2634, 2986, 3305,
3582, 3806, 3969, 4066, 4095, 4053, 3942, 3766, 3531, 3245,
2917, 2560, 2186, 1807, 1435, 1085, 768, 495, 275, 117,
24, 1, 48, 164, 345, 585, 874, 1204, 1563, 1939,
2318, 2688, 3036, 3350, 3620, 3835, 3989, 4075, 4093, 4040,
3918, 3732, 3488, 3194, 2861, 2500, 2123, 1744, 1375, 1029,
719, 454, 244, 96, 15, 4, 64, 192, 384, 633,
931, 1267, 1630, 2008, 2387, 2754, 3097, 3404, 3664, 3869,
4010, 4084, 4088, 4021, 3887, 3689, 3434, 3131, 2792, 2426,
2047, 1669, 1303, 963, 661, 406, 208, 74, 7, 11,
85, 227, 432, 692, 1000, 1343, 1711, 2090, 2468, 2832,
3168, 3466, 3715, 3906, 4033, 4091, 4079, 3997, 3847, 3635,
3368, 3056, 2709, 2339, 1959, 1582, 1221, 888, 596, 354,
170, 51, 1, 22, 114, 271, 491, 764, 1082, 1433,
1805, 2186, 2562, 2920, 3248, 3534, 3769, 3945, 4054, 4095,
4064, 3964, 3797, 3570, 3290, 2967, 2612, 2238, 1857, 1483,
1128, 805, 525, 297, 131, 31, 0, 41, 151, 327,
562, 849, 1178, 1536, 1913, 2294, 2666, 3017, 3335, 3608,
3826, 3984, 4074, 4093, 4042, 3922, 3736, 3492, 3198, 2864,
2502, 2124, 1743, 1373, 1026, 714, 449, 240, 93, 14,
5, 68, 199, 394, 647, 948, 1288, 1654, 2034, 2414,
2781, 3123, 3428, 3685, 3884, 4020, 4088, 4084, 4010, 3868,
3662, 3400, 3091, 2746, 2377, 1996, 1617, 1253, 916, 619,
371, 182, 58, 3, 19, 105, 259, 476, 747, 1063,
1414, 1786, 2168, 2545, 2906, 3236, 3525, 3763, 3941, 4053,
4095, 4066, 3966, 3800, 3573, 3292, 2969, 2613, 2237, 1855,
1480, 1124, 801, 520, 294, 128, 29, 0, 43, 156,
334, 573, 863, 1194, 1554, 1933, 2315, 2687, 3038, 3354,
3624, 3840, 3992, 4078, 4092, 4035, 3908, 3717, 3467, 3168,
2830, 2464, 2084, 1703, 1333, 989, 681, 421, 218, 79,
9, 9, 81, 222, 426, 687, 996, 1341, 1711, 2093,
2473, 2838, 3176, 3474, 3722, 3912, 4037, 4092, 4076, 3989,
3834, 3616, 3344, 3026, 2674, 2300, 1918, 1539, 1179, 849,
561, 325, 149, 39, 0, 33, 136, 305, 536, 820,
1147, 1505, 1882, 2265, 2641, 2995, 3317, 3594, 3817, 3978,
4071, 4094, 4045, 3925, 3740, 3496, 3201, 2866, 2502, 2122,
1739, 1367, 1019, 707, 442, 233, 88, 12, 7, 73,
209, 409, 667, 973, 1316, 1686, 2068, 2449, 2817, 3157,
3458, 3710, 3904, 4032, 4091, 4078, 3994, 3842, 3626, 3355,
3038, 2687, 2313, 1929, 1550, 1188, 857, 567, 329, 151,
41, 0, 32, 134, 304, 534, 819, 1146, 1505, 1883,
2267, 2643, 2998, 3320, 3597, 3819, 3980, 4072, 4093, 4043,
3922, 3735, 3489, 3192, 2855, 2489, 2108, 1725, 1353, 1006,
695, 432, 225, 83, 10, 8, 79, 218, 422, 684,
993, 1340, 1711, 2094, 2476, 2842, 3181, 3480, 3728, 3917,
4040, 4093, 4074, 3983, 3825, 3603, 3327, 3006, 2651, 2275,
1890, 1511, 1151, 823, 538, 306, 135, 32, 0, 40,
151, 329, 567, 858, 1191, 1554, 1934, 2318, 2693, 3045,
3362, 3632, 3847, 3998, 4080, 4090, 4029, 3897, 3700, 3445,
3140, 2797, 2427, 2044, 1661, 1292, 949, 645, 391, 195,
64, 4, 16, 100, 252, 468, 740, 1058, 1411, 1786,
2171, 2552, 2914, 3246, 3536, 3773, 3949, 4057, 4095, 4060,
3954, 3781, 3546, 3258, 2928, 2566, 2186, 1801, 1424, 1070,
750, 477, 258, 104, 18, 3, 62, 190, 384, 638,
941, 1283, 1652, 2036, 2420, 2790, 3135, 3441, 3697, 3895,
4028, 4090, 4080, 3998, 3847, 3632, 3361, 3043, 2690, 2315,
1929, 1548, 1185, 852, 561, 324, 147, 38, 0, 35,
141, 315, 550, 838, 1170, 1532, 1913, 2298, 2675, 3030,
3349, 3622, 3840, 3994, 4078, 4091, 4031, 3901, 3705, 3449,
3145, 2801, 2430, 2046, 1662, 1291, 948, 643, 388, 193,
63, 4, 17, 103, 257, 476, 750, 1070, 1425, 1803,
2189, 2570, 2932, 3263, 3551, 3785, 3957, 4062, 4095, 4055,
3944, 3765, 3525, 3232, 2897, 2532, 2150, 1764, 1388, 1036,
720, 451, 238, 90, 12, 7, 73, 211, 414, 674,
984, 1332, 1705, 2091, 2475, 2843, 3184, 3484, 3732, 3921,
4043, 4094, 4071, 3977, 3814, 3588, 3307, 2981, 2622, 2242,
1855, 1476, 1116, 790, 509, 282, 119, 24, 1, 52,
174, 362, 611, 911, 1252, 1621, 2005, 2391, 2764, 3112,
3422, 3683, 3886, 4023, 4089, 4082, 4003, 3854, 3640, 3370,
3052, 2698, 2321, 1935, 1552, 1187, 853, 561, 323, 146,
37, 0, 36, 144, 321, 559, 850, 1184, 1549, 1932,
2319, 2696, 3050, 3368, 3639, 3853, 4003, 4082, 4089, 4022,
3885, 3683, 3421, 3111, 2762, 2388, 2001, 1617, 1247, 907,
607, 358, 171, 50, 1, 25, 122, 288, 516, 800,
1128, 1490, 1871, 2258, 2638, 2997, 3322, 3601, 3825, 3985,
4075, 4093, 4037, 3910, 3716, 3462, 3158, 2814, 2442, 2056,
1670, 1297, 952, 645, 389, 192, 62, 3, 18, 105,
262, 484, 761, 1084, 1442, 1822, 2210, 2592, 2955, 3285,
3570, 3801, 3969, 4068, 4094, 4047, 3928, 3741, 3494, 3194,
2854, 2484, 2099, 1711, 1336, 987, 675, 413, 210, 72,
6, 13, 93, 244, 459, 732, 1052, 1407, 1786, 2174,
2558, 2923, 3257, 3547, 3783, 3957, 4062, 4095, 4054, 3940,
3759, 3516, 3220, 2882, 2514, 2129, 1741, 1364, 1011, 696,
430, 222, 80, 8, 10, 86, 232, 443, 713, 1030,
1384, 1762, 2151, 2535, 2902, 3239, 3532, 3772, 3949, 4058,
4095, 4058, 3948, 3770, 3529, 3235, 2899, 2531, 2146, 1758,
1380, 1026, 709, 440, 229, 84, 10, 9, 82, 226,
435, 703, 1019, 1373, 1751, 2139, 2525, 2893, 3230, 3525,
3767, 3946, 4057, 4095, 4059, 3951, 3774, 3534, 3241, 2904,
2537, 2152, 1763, 1384, 1029, 712, 442, 231, 85, 10,
9, 81, 225, 435, 703, 1019, 1373, 1751, 2140, 2526,
2894, 3232, 3527, 3768, 3947, 4057, 4095, 4058, 3949, 3771,
3530, 3236, 2899, 2530, 2145, 1755, 1377, 1022, 705, 437,
226, 82, 9, 10, 84, 230, 442, 712, 1030, 1385,
1764, 2154, 2539, 2907, 3244, 3537, 3776, 3953, 4060, 4095,
4055, 3943, 3761, 3518, 3221, 2882, 2512, 2125, 1736, 1358,
1005, 690, 424, 217, 76, 7, 12, 91, 241, 457,
730, 1051, 1409, 1789, 2179, 2564, 2931, 3265, 3555, 3791,
3963, 4065, 4095, 4049, 3931, 3745, 3497, 3196, 2853, 2481,
2094, 1704, 1328, 977, 665, 403, 202, 67, 4, 16,
102, 258, 479, 758, 1083, 1444, 1826, 2217, 2601, 2966,
3296, 3582, 3811, 3977, 4072, 4093, 4040, 3915, 3721, 3466,
3160, 2813, 2439, 2050, 1661, 1286, 939, 632, 377, 182,
56, 2, 23, 117, 282, 511, 796, 1127, 1491, 1876,
2267, 2650, 3011, 3337, 3616, 3837, 3994, 4079, 4090, 4027,
3892, 3689, 3426, 3114, 2762, 2384, 1994, 1605, 1233, 891,
591, 344, 159, 43, 0, 32, 138, 313, 552, 845,
1182, 1551, 1938, 2329, 2710, 3066, 3386, 3656, 3868, 4013,
4086, 4085, 4009, 3862, 3648, 3376, 3055, 2698, 2316, 1925,
1538, 1170, 834, 542, 306, 133, 30, 0, 46, 165,
353, 603, 905, 1250, 1624, 2013, 2403, 2781, 3131, 3442,
3702, 3902, 4033, 4092, 4076, 3986, 3824, 3598, 3315, 2985,
2621, 2236, 1844, 1460, 1097, 769, 488, 264, 105, 17,
4, 66, 200, 402, 664, 978, 1330, 1709, 2100, 2489,
2862, 3205, 3506, 3753, 3938, 4053, 4095, 4062, 3954, 3777,
3537, 3241, 2902, 2532, 2144, 1752, 1371, 1015, 697, 428,
219, 77, 7, 12, 92, 244, 462, 738, 1062, 1423,
1806, 2199, 2586, 2953, 3286, 3575, 3807, 3974, 4071, 4093,
4041, 3915, 3720, 3464, 3155, 2806, 2429, 2038, 1648, 1272,
924, 618, 365, 173, 50, 1, 27, 127, 298, 534,
825, 1161, 1529, 1917, 2310, 2693, 3052, 3374, 3648, 3862,
4010, 4085, 4086, 4011, 3864, 3650, 3378, 3056, 2697, 2314,
1921, 1533, 1164, 827, 536, 300, 128, 27, 1, 50,
173, 364, 618, 925, 1273, 1649, 2041, 2432, 2809, 3159,
3467, 3723, 3917, 4042, 4094, 4070, 3971, 3802, 3568, 3277,
2942, 2573, 2185, 1792, 1408, 1048, 725, 450, 235, 86,
10, 9, 83, 230, 444, 718, 1040, 1399, 1783, 2176,
2565, 2934, 3271, 3563, 3798, 3969, 4069, 4094, 4043, 3919,
3726, 3470, 3162, 2813, 2435, 2043, 1651, 1274, 926, 619,
364, 172, 50, 1, 28, 129, 302, 539, 832, 1170,
1541, 1930, 2324, 2707, 3066, 3387, 3659, 3871, 4016, 4087,
4083, 4004, 3853, 3634, 3357, 3031, 2669, 2283, 1889, 1501,
1133, 799, 511, 280, 115, 21, 2, 60, 190, 390,
651, 964, 1317, 1697, 2090, 2482, 2857, 3203, 3505, 3754,
3939, 4054, 4095, 4060, 3950, 3769, 3525, 3226, 2883, 2509,
2118, 1724, 1342, 987, 671, 406, 201, 66, 4, 18,
107, 268, 496, 781, 1113, 1480, 1868, 2262, 2649, 3013,
3342, 3622, 3844, 3999, 4082, 4089, 4020, 3878, 3667, 3397,
3076, 2718, 2334, 1939, 1549, 1177, 837, 543, 304, 131,
28, 1, 50, 173, 366, 621, 930, 1280, 1659, 2052,
2445, 2823, 3173, 3480, 3734, 3926, 4047, 4094, 4065, 3961,
3785, 3545, 3249, 2908, 2535, 2144, 1750, 1366, 1008, 688,
419, 211, 71, 5, 15, 101, 259, 484, 767, 1098,
1465, 1853, 2248, 2636, 3002, 3332, 3615, 3839, 3996, 4081,
4089, 4022, 3881, 3671, 3401, 3080, 2721, 2337, 1942, 1550,
1178, 838, 542, 304, 130, 28, 1, 51, 175, 369,
626, 936, 1287, 1667, 2061, 2455, 2833, 3182, 3489, 3742,
3931, 4050, 4095, 4063, 3955, 3776, 3533, 3234, 2890, 2515,
2123, 1728, 1345, 988, 670, 404, 200, 65, 3, 19,
110, 274, 504, 792, 1126, 1496, 1886, 2282, 2669, 3033,
3360, 3638, 3857, 4007, 4085, 4086, 4011, 3862, 3645, 3369,
3043, 2679, 2292, 1896, 1506, 1135, 799, 510, 278, 113,
20, 3, 63, 197, 400, 665, 982, 1339, 1723, 2118,
2512, 2887, 3231, 3531, 3775, 3955, 4062, 4095, 4050, 3931,
3740, 3486, 3179, 2828, 2449, 2054, 1659, 1279, 927, 618,
362, 169, 47, 0, 30, 136, 313, 556, 855, 1198,
1573, 1966, 2363, 2747, 3105, 3423, 3690, 3895, 4031, 4092,
4076, 3984, 3819, 3588, 3298, 2962, 2591, 2200, 1803, 1416,
1052, 725, 448, 232, 83, 9, 11, 90, 242, 462,
742, 1072, 1437, 1826, 2223, 2614, 2983, 3317, 3603, 3831,
3992, 4079, 4090, 4024, 3884, 3674, 3403, 3081, 2720, 2334,
1937, 1544, 1170, 830, 535, 297, 124, 25, 2, 55,
184, 383, 645, 960, 1315, 1699, 2095, 2490, 2868, 3215,
3518, 3766, 3948, 4060, 4095, 4053, 3935, 3747, 3494, 3186,
2836, 2456, 2060, 1664, 1282, 930, 619, 362, 169, 47,
0, 31, 138, 317, 561, 861, 1207, 1583, 1978, 2375,
2760, 3118, 3435, 3700, 3903, 4035, 4093, 4073, 3976, 3807,
3571, 3278, 2938, 2564, 2171, 1773, 1386, 1023, 700, 427,
215, 73, 5, 15, 102, 262, 490, 776, 1111, 1481,
1873, 2271, 2661, 3027, 3357, 3637, 3857, 4008, 4085, 4085,
4008, 3857, 3637, 3357, 3027, 2660, 2270, 1872, 1480, 1110,
775, 488, 261, 101, 15, 6, 74, 217, 429, 703,
1028, 1391, 1779, 2178, 2571, 2945, 3285, 3577, 3812, 3980,
4074, 4092, 4032, 3897, 3692, 3424, 3104, 2744, 2358, 1959,
1565, 1188, 844, 546, 304, 129, 27, 1, 53, 181,
380, 641, 957, 1314, 1698, 2096, 2492, 2871, 3219, 3523,
3770, 3952, 4062, 4095, 4050, 3929, 3737, 3480, 3169, 2816,
2433, 2035, 1638, 1257, 905, 597, 344, 156, 40, 0,
38, 152, 339, 590, 897, 1248, 1629, 2026, 2424, 2807,
3162, 3474, 3732, 3926, 4048, 4095, 4063, 3955, 3774, 3527,
3224, 2876, 2496, 2100, 1701, 1316, 959, 643, 380, 181,
53, 1, 27, 130, 306, 549, 848, 1193, 1571, 1967,
2366, 2753, 3113, 3433, 3699, 3903, 4036, 4093, 4072, 3974,
3802, 3564, 3267, 2925, 2548, 2153, 1753, 1365, 1003, 680,
410, 202, 65, 3, 20, 113, 281, 516, 809, 1150,
1525, 1920, 2320, 2709, 3074, 3399, 3672, 3883, 4025, 4090,
4078, 3988, 3824, 3592, 3301, 2962, 2589, 2194, 1794, 1403,
1038, 710, 434, 220, 75, 6, 15, 101, 262, 492,
780, 1118, 1491, 1885, 2285, 2676, 3044, 3373, 3651, 3868,
4016, 4088, 4082, 3998, 3840, 3612, 3325, 2990, 2617, 2224,
1823, 1431, 1063, 732, 451, 232, 83, 8, 12, 93,
250, 475, 761, 1096, 1467, 1861, 2262, 2654, 3024, 3356,
3637, 3858, 4010, 4086, 4084, 4004, 3849, 3625, 3340, 3006,
2635, 2242, 1841, 1448, 1078, 745, 462, 240, 87, 9,
10, 89, 243, 467, 751, 1084, 1455, 1849, 2250, 2643,
3014, 3347, 3631, 3854, 4007, 4085, 4085, 4007, 3853, 3630,
3346, 3013, 2642, 2248, 1847, 1453, 1082, 749, 465, 242,
88, 10, 10, 88, 242, 465, 749, 1083, 1454, 1848,
2249, 2643, 3014, 3348, 3632, 3854, 4008, 4085, 4085, 4006,
3852, 3628, 3343, 3009, 2637, 2243, 1841, 1448, 1077, 744,
460, 238, 86, 9, 11, 91, 246, 471, 757, 1092,
1464, 1859, 2261, 2654, 3025, 3357, 3640, 3860, 4011, 4087,
4083, 4002, 3844, 3618, 3331, 2995, 2622, 2227, 1824, 1431,
1061, 730, 449, 230, 81, 7, 13, 97, 256, 485,
773, 1111, 1485, 1881, 2283, 2676, 3045, 3376, 3655, 3872,
4018, 4089, 4080, 3994, 3832, 3601, 3310, 2970, 2595, 2198,
1796, 1403, 1036, 707, 430, 216, 72, 5, 17, 107,
272, 506, 799, 1141, 1518, 1915, 2317, 2709, 3076, 3402,
3677, 3888, 4028, 4091, 4076, 3982, 3813, 3575, 3279, 2935,
2557, 2159, 1756, 1365, 1000, 676, 405, 197, 61, 2,
23, 121, 294, 535, 835, 1182, 1562, 1961, 2363, 2753,
3116, 3437, 3705, 3908, 4040, 4094, 4068, 3965, 3787, 3542,
3239, 2889, 2507, 2107, 1705, 1316, 956, 637, 374, 175,
49, 0, 31, 140, 324, 573, 881, 1233, 1617, 2018,
2420, 2807, 3165, 3480, 3739, 3932, 4053, 4095, 4058, 3943,
3754, 3499, 3188, 2832, 2446, 2044, 1643, 1257, 902, 591,
337, 150, 36, 0, 44, 166, 361, 621, 937, 1296,
1684, 2087, 2488, 2871, 3223, 3529, 3778, 3959, 4066, 4094,
4043, 3914, 3713, 3446, 3126, 2763, 2373, 1970, 1569, 1188,
840, 539, 296, 122, 23, 2, 61, 198, 406, 679,
1004, 1371, 1763, 2167, 2566, 2945, 3289, 3585, 3820, 3987,
4078, 4090, 4023, 3878, 3662, 3383, 3052, 2682, 2288, 1883,
1486, 1110, 770, 481, 252, 94, 12, 9, 85, 238,
462, 747, 1084, 1457, 1854, 2259, 2655, 3027, 3362, 3645,
3865, 4015, 4088, 4081, 3995, 3833, 3601, 3309, 2967, 2589,
2191, 1786, 1392, 1023, 695, 419, 207, 66, 3, 20,
116, 288, 528, 828, 1175, 1557, 1957, 2362, 2753, 3118,
3440, 3708, 3911, 4042, 4094, 4066, 3960, 3778, 3529, 3222,
2869, 2484, 2082, 1678, 1289, 930, 614, 354, 161, 41,
0, 39, 157, 348, 607, 921, 1280, 1669, 2072, 2475,
2861, 3215, 3523, 3774, 3957, 4065, 4094, 4043, 3914, 3712,
3444, 3122, 2758, 2366, 1961, 1560, 1178, 830, 529, 288,
116, 20, 3, 67, 208, 421, 698, 1028, 1398, 1793,
2198, 2598, 2976, 3317, 3609, 3839, 3999, 4083, 4087, 4010,
3857, 3633, 3346, 3008, 2633, 2235, 1829, 1432, 1059, 725,
443, 224, 76, 6, 16, 105, 271, 507, 804, 1149,
1529, 1930, 2336, 2730, 3097, 3423, 3695, 3903, 4037, 4093,
4069, 3966, 3786, 3539, 3233, 2880, 2495, 2092, 1687, 1296,
935, 618, 357, 162, 42, 0, 39, 157, 349, 609,
924, 1284, 1675, 2079, 2483, 2869, 3223, 3531, 3781, 3962,
4067, 4094, 4039, 3907, 3701, 3430, 3104, 2737, 2343, 1937,
1535, 1154, 807, 510, 273, 106, 16, 6, 76, 224,
443, 726, 1061, 1435, 1833, 2240, 2639, 3015, 3352, 3638,
3862, 4013, 4088, 4082, 3995, 3832, 3598, 3303, 2959, 2579,
2177, 1771, 1375, 1006, 678, 404, 195, 59, 2, 25,
128, 307, 555, 861, 1215, 1601, 2005, 2411, 2802, 3164,
3481, 3742, 3936, 4055, 4095, 4054, 3934, 3739, 3477, 3159,
2797, 2405, 2000, 1596, 1209, 856, 550, 304, 126, 24,
2, 61, 199, 410, 685, 1015, 1385, 1782, 2189, 2590,
2970, 3314, 3607, 3839, 4000, 4083, 4086, 4009, 3853, 3626,
3337, 2997, 2619, 2218, 1811, 1413, 1040, 707, 427, 211,
68, 4, 20, 117, 290, 533, 836, 1187, 1572, 1976,
2382, 2776, 3141, 3462, 3727, 3926, 4050, 4095, 4059, 3942,
3751, 3492, 3176, 2815, 2424, 2018, 1612, 1224, 869, 561,
311, 131, 26, 2, 58, 194, 404, 678, 1007, 1377,
1774, 2182, 2584, 2966, 3310, 3605, 3837, 3999, 4083, 4086,
4009, 3853, 3626, 3335, 2994, 2615, 2214, 1806, 1407, 1034,
701, 422, 207, 66, 3, 22, 121, 296, 541, 847,
1200, 1586, 1991, 2399, 2792, 3156, 3475, 3738, 3934, 4054,
4095, 4054, 3934, 3738, 3475, 3155, 2791, 2398, 1991, 1585,
1199, 846, 540, 295, 120, 21, 3, 67, 209, 425,
705, 1039, 1412, 1812, 2220, 2622, 3001, 3342, 3631, 3857,
4012, 4087, 4082, 3995, 3831, 3596, 3299, 2952, 2569, 2165,
1756, 1360, 990, 663, 391, 185, 53, 1, 30, 140,
326, 581, 894, 1254, 1645, 2052, 2459, 2849, 3208, 3520,
3773, 3958, 4066, 4094, 4040, 3906, 3699, 3425, 3096, 2725,
2328, 1919, 1515, 1132, 786, 491, 257, 95, 12, 9,
88, 245, 474, 767, 1110, 1491, 1894, 2303, 2702, 3075,
3407, 3684, 3896, 4034, 4093, 4070, 3966, 3785, 3535, 3225,
2868, 2478, 2071, 1663, 1270, 909, 593, 335, 146, 33,
0, 50, 179, 384, 655, 981, 1351, 1748, 2157, 2562,
2946, 3295, 3593, 3830, 3995, 4082, 4087, 4011, 3856, 3629,
3338, 2996, 2615, 2212, 1802, 1402, 1028, 695, 416, 202,
62, 2, 24, 127, 307, 557, 867, 1224, 1614, 2021,
2430, 2823, 3185, 3502, 3760, 3949, 4062, 4095, 4045, 3915,
3710, 3438, 3110, 2740, 2342, 1932, 1527, 1142, 794, 497,
261, 98, 12, 9, 87, 244, 473, 766, 1110, 1492,
1897, 2307, 2707, 3080, 3412, 3689, 3900, 4037, 4094, 4068,
3961, 3777, 3524, 3211, 2852, 2460, 2051, 1643, 1250, 890,
576, 322, 137, 28, 1, 57, 192, 402, 678, 1010,
1383, 1783, 2194, 2598, 2981, 3326, 3620, 3850, 4008, 4086,
4083, 3998, 3834, 3598, 3300, 2951, 2566, 2160, 1749, 1351,
980, 653, 381, 177, 48, 0, 35, 150, 342, 603,
922, 1286, 1681, 2091, 2499, 2889, 3245, 3553, 3800, 3976,
4075, 4091, 4026, 3880, 3661, 3376, 3038, 2660, 2257, 1846,
1442, 1064, 725, 439, 218, 71, 4, 19, 117, 292,
538, 845, 1201, 1591, 1999, 2409, 2805, 3170, 3490, 3751,
3944, 4060, 4095, 4047, 3918, 3713, 3442, 3114, 2742, 2343,
1932, 1525, 1140, 791, 493, 258, 95, 11, 10, 91,
251, 484, 780, 1127, 1512, 1918, 2330, 2730, 3102, 3432,
3706, 3913, 4044, 4095, 4062, 3948, 3757, 3497, 3178, 2813,
2418, 2007, 1598, 1207, 850, 542, 295, 118, 20, 4,
71, 217, 438, 725, 1064, 1444, 1848, 2260, 2664, 3043,
3381, 3665, 3884, 4028, 4092, 4073, 3972, 3793, 3543, 3232,
2874, 2481, 2072, 1661, 1266, 902, 586, 328, 140, 30,
1, 56, 191, 402, 679, 1012, 1387, 1789, 2202, 2608,
2991, 3336, 3629, 3858, 4013, 4088, 4080, 3990, 3821, 3580,
3276, 2923, 2534, 2125, 1713, 1315, 947, 623, 357, 159,
39, 0, 44, 170, 372, 643, 970, 1341, 1741, 2154,
2562, 2949, 3299, 3599, 3836, 3999, 4084, 4085, 4004, 3843,
3609, 3311, 2962, 2576, 2168, 1755, 1355, 982, 653, 380,
176, 47, 0, 37, 155, 350, 615, 938, 1306, 1704,
2116, 2526, 2916, 3271, 3575, 3818, 3989, 4080, 4088, 4014,
3859, 3630, 3337, 2991, 2607, 2200, 1787, 1384, 1008, 675,
398, 188, 54, 1, 31, 144, 335, 595, 915, 1281,
1678, 2090, 2501, 2893, 3250, 3559, 3806, 3981, 4077, 4090,
4020, 3869, 3644, 3354, 3011, 2628, 2221, 1807, 1403, 1026,
690, 409, 196, 58, 1, 28, 138, 325, 583, 901,
1266, 1662, 2075, 2486, 2879, 3239, 3549, 3799, 3976, 4075,
4091, 4023, 3875, 3652, 3363, 3020, 2638, 2231, 1817, 1412,
1034, 696, 414, 199, 60, 2, 27, 135, 322, 579,
896, 1261, 1657, 2070, 2482, 2876, 3236, 3547, 3797, 3975,
4075, 4091, 4024, 3875, 3652, 3363, 3020, 2637, 2231, 1816,
1411, 1032, 695, 413, 198, 59, 1, 28, 137, 324,
583, 901, 1266, 1663, 2076, 2488, 2882, 3242, 3552, 3801,
3978, 4076, 4090, 4021, 3871, 3646, 3355, 3011, 2627, 2219,
1804, 1399, 1021, 685, 405, 192, 56, 1, 30, 142,
333, 594, 914, 1281, 1680, 2094, 2505, 2898, 3256, 3565,
3811, 3985, 4079, 4089, 4016, 3861, 3633, 3338, 2991, 2605,
2197, 1782, 1377, 1001, 667, 391, 182, 50, 0, 35,
152, 347, 612, 937, 1307, 1707, 2122, 2533, 2924, 3280,
3585, 3826, 3994, 4082, 4086, 4007, 3847, 3612, 3313, 2962,
2574, 2163, 1748, 1345, 972, 642, 370, 168, 43, 0,
42, 166, 368, 640, 969, 1342, 1745, 2160, 2571, 2960,
3312, 3611, 3846, 4006, 4086, 4082, 3994, 3826, 3584, 3279,
2923, 2531, 2119, 1704, 1303, 933, 609, 344, 150, 34,
0, 52, 186, 396, 675, 1011, 1389, 1794, 2210, 2619,
3005, 3351, 3643, 3870, 4021, 4091, 4076, 3977, 3799, 3548,
3235, 2874, 2478, 2064, 1650, 1252, 887, 569, 313, 129,
24, 3, 66, 211, 432, 720, 1062, 1446, 1854, 2271,
2678, 3059, 3398, 3682, 3897, 4037, 4094, 4066, 3955, 3765,
3504, 3182, 2814, 2413, 1998, 1585, 1191, 832, 524, 278,
106, 15, 7, 84, 243, 476, 774, 1125, 1514, 1925,
2342, 2746, 3121, 3452, 3725, 3928, 4053, 4095, 4052, 3926,
3723, 3449, 3118, 2742, 2338, 1921, 1510, 1121, 770, 473,
240, 83, 7, 15, 108, 282, 529, 838, 1198, 1593,
2007, 2423, 2823, 3191, 3512, 3771, 3959, 4068, 4093, 4033,
3891, 3672, 3385, 3043, 2660, 2251, 1834, 1426, 1043, 702,
417, 200, 59, 1, 29, 140, 330, 591, 914, 1283,
1684, 2100, 2514, 2909, 3268, 3576, 3821, 3991, 4081, 4087,
4008, 3847, 3611, 3310, 2957, 2566, 2153, 1736, 1332, 958,
629, 359, 159, 38, 0, 48, 179, 387, 665, 1001,
1380, 1786, 2204, 2615, 3003, 3350, 3644, 3871, 4022, 4091,
4075, 3974, 3793, 3539, 3223, 2859, 2460, 2044, 1628, 1230,
866, 551, 298, 119, 19, 5, 75, 228, 456, 751,
1100, 1488, 1900, 2318, 2725, 3103, 3438, 3714, 3921, 4050,
4095, 4055, 3931, 3728, 3456, 3124, 2748, 2342, 1924, 1511,
1121, 769, 471, 238, 81, 6, 16, 112, 287, 537,
849, 1212, 1610, 2025, 2442, 2842, 3209, 3528, 3785, 3969,
4073, 4092, 4026, 3877, 3651, 3359, 3012, 2624, 2212, 1794,
1386, 1006, 669, 390, 180, 48, 0, 38, 159, 360,
631, 962, 1337, 1743, 2161, 2575, 2967, 3320, 3620, 3854,
4012, 4088, 4079, 3985, 3810, 3561, 3248, 2885, 2487, 2071,
1654, 1253, 886, 567, 310, 126, 22, 3, 70, 220,
446, 740, 1088, 1476, 1889, 2308, 2716, 3096, 3432, 3710,
3919, 4049, 4095, 4055, 3931, 3728, 3455, 3122, 2745, 2338,
1919, 1505, 1114, 763, 465, 233, 78, 5, 18, 116,
296, 548, 864, 1229, 1629, 2046, 2464, 2863, 3229, 3545,
3798, 3978, 4076, 4090, 4017, 3862, 3631, 3333, 2981, 2590,
2176, 1757, 1350, 972, 639, 366, 163, 39, 0, 47,
178, 388, 667, 1004, 1386, 1795, 2214, 2627, 3016, 3363,
3656, 3880, 4028, 4092, 4071, 3964, 3776, 3516, 3194, 2824,
2421, 2002, 1586, 1188, 827, 517, 272, 101, 12, 9,
92, 257, 498, 803, 1161, 1557, 1973, 2392, 2797, 3170,
3496, 3761, 3954, 4066, 4094, 4035, 3892, 3672, 3383, 3038,
2651, 2239, 1818, 1408, 1024, 683, 400, 187, 51, 0,
36, 156, 356, 627, 958, 1336, 1743, 2163, 2578, 2971,
3325, 3625, 3858, 4015, 4089, 4077, 3979, 3800, 3547, 3230,
2863, 2462, 2044, 1625, 1225, 859, 543, 291, 113, 17,
6, 82, 241, 476, 777, 1132, 1526, 1942, 2362, 2769,
3146, 3476, 3746, 3944, 4062, 4094, 4041, 3902, 3686, 3400,
3057, 2671, 2259, 1838, 1426, 1040, 697, 410, 194, 55,
1, 33, 151, 348, 618, 948, 1325, 1733, 2153, 2569,
2964, 3319, 3620, 3855, 4014, 4089, 4078, 3981, 3801, 3548,
3231, 2864, 2462, 2043, 1624, 1223, 857, 541, 289, 111,
16, 7, 84, 244, 481, 784, 1141, 1536, 1953, 2374,
2781, 3157, 3486, 3754, 3950, 4064, 4094, 4036, 3895, 3675,
3385, 3040, 2652, 2238, 1816, 1404, 1020, 679, 396, 183,
49, 0, 38, 161, 365, 640, 974, 1354, 1764, 2186,
2601, 2994, 3346, 3643, 3872, 4024, 4092, 4073, 3967, 3781,
3521, 3198, 2826, 2421, 2000, 1582, 1183, 820, 510, 266,
97, 11, 11, 98, 268, 514, 825, 1188, 1587, 2006,
2427, 2832, 3203, 3525, 3785, 3970, 4074, 4091, 4022, 3868,
3637, 3338, 2985, 2591, 2175, 1752, 1343, 963, 630, 357,
156, 35, 0, 53, 190, 406, 693, 1037, 1424, 1837,
2260, 2674, 3060, 3404, 3690, 3906, 4043, 4095, 4059, 3938,
3736, 3462, 3128, 2748, 2338, 1915, 1499, 1105, 752, 454,
224, 71, 3, 23, 128, 316, 577, 901, 1274, 1680,
2102, 2521, 2920, 3282, 3591, 3835, 4002, 4086, 4082, 3992,
3819, 3570, 3256, 2891, 2489, 2069, 1648, 1243, 874, 554,
298, 117, 18, 6, 81, 240, 477, 780, 1138, 1535,
1953, 2376, 2784, 3161, 3491, 3759, 3953, 4066, 4093, 4033,
3887, 3663, 3370, 3020, 2629, 2212, 1789, 1377, 993, 654,
376, 168, 41, 0, 47, 179, 391, 674, 1016, 1401,
1815, 2239, 2654, 3044, 3390, 3680, 3899, 4039, 4094, 4062,
3942, 3742, 3469, 3136, 2755, 2345, 1921, 1503, 1108, 754,
455, 224, 71, 3, 23, 129, 318, 581, 906, 1281,
1688, 2111, 2531, 2931, 3292, 3600, 3842, 4007, 4087, 4080,
3986, 3809, 3556, 3238, 2870, 2466, 2044, 1622, 1219, 851,
534, 282, 106, 14, 9, 91, 257, 500, 810, 1173,
1573, 1994, 2417, 2824, 3198, 3522, 3783, 3970, 4074, 4091,
4020, 3864, 3631, 3329, 2972, 2576, 2156, 1732, 1322, 943,
611, 341, 144, 30, 1, 61, 207, 431, 725, 1076,
1469, 1886, 2311, 2724, 3108, 3447, 3725, 3931, 4056, 4095,
4045, 3910, 3694, 3408, 3063, 2674, 2258, 1834, 1418, 1029,
685, 399, 184, 49, 0, 40, 165, 372, 652, 991,
1376, 1789, 2214, 2632, 3025, 3375, 3668, 3892, 4036, 4094,
4064, 3947, 3748, 3476, 3143, 2762, 2350, 1925, 1506, 1110,
754, 454, 223, 70, 3, 24, 132, 323, 588, 917,
1294, 1703, 2128, 2549, 2948, 3309, 3615, 3853, 4014, 4089,
4077, 3977, 3793, 3534, 3211, 2838, 2431, 2007, 1585, 1182,
817, 506, 260, 92, 9, 13, 106, 282, 535, 853,
1223, 1628, 2051, 2475, 2879, 3248, 3565, 3817, 3992, 4082,
4085, 4000, 3830, 3584, 3270, 2904, 2501, 2078, 1654, 1247,
874, 553, 295, 114, 17, 7, 85, 249, 490, 799,
1162, 1563, 1985, 2410, 2819, 3195, 3521, 3783, 3970, 4074,
4090, 4018, 3860, 3624, 3320, 2960, 2561, 2139, 1714, 1303,
924, 594, 327, 135, 25, 3, 69, 222, 453, 754,
1111, 1508, 1929, 2355, 2767, 3149, 3482, 3754, 3951, 4066,
4093, 4032, 3884, 3657, 3360, 3006, 2611, 2190, 1764, 1350,
966, 630, 354, 153, 33, 1, 58, 201, 424, 718,
1069, 1463, 1883, 2309, 2725, 3110, 3450, 3729, 3935, 4058,
4095, 4042, 3903, 3683, 3392, 3043, 2650, 2231, 1804, 1388,
1001, 658, 377, 168, 40, 0, 49, 185, 402, 690,
1038, 1429, 1847, 2274, 2691, 3081, 3425, 3709, 3921, 4052,
4095, 4049, 3916, 3702, 3416, 3070, 2680, 2262, 1835, 1417,
1026, 680, 394, 179, 46, 0, 43, 174, 386, 670,
1015, 1404, 1822, 2249, 2668, 3059, 3407, 3695, 3912, 4047,
4095, 4054, 3925, 3715, 3432, 3088, 2699, 2282, 1855, 1436,
1043, 694, 405, 187, 50, 0, 40, 167, 376, 658,
1001, 1389, 1806, 2234, 2654, 3047, 3396, 3687, 3906, 4044,
4095, 4056, 3930, 3722, 3440, 3098, 2710, 2292, 1865, 1445,
1051, 701, 410, 190, 52, 0, 38, 164, 372, 654,
996, 1384, 1801, 2229, 2649, 3043, 3393, 3685, 3905, 4043,
4095, 4057, 3931, 3722, 3441, 3098, 2710, 2293, 1864, 1444,
1050, 700, 409, 189, 51, 0, 39, 165, 374, 656,
999, 1388, 1806, 2234, 2655, 3048, 3398, 3689, 3908, 4045,
4095, 4055, 3927, 3717, 3434, 3090, 2701, 2283, 1854, 1434,
1041, 692, 402, 184, 48, 0, 41, 171, 382, 667,
1012, 1402, 1821, 2250, 2670, 3062, 3410, 3699, 3915, 4049,
4095, 4051, 3920, 3706, 3420, 3074, 2682, 2263, 1834, 1414,
1022, 676, 389, 175, 44, 0, 46, 180, 396, 685,
1033, 1426, 1846, 2275, 2694, 3085, 3430, 3715, 3926, 4054,
4095, 4045, 3908, 3689, 3398, 3048, 2653, 2232, 1803, 1385,
995, 652, 370, 162, 37, 0, 54, 194, 417, 711,
1064, 1460, 1882, 2311, 2729, 3116, 3457, 3736, 3940, 4062,
4094, 4037, 3892, 3666, 3368, 3013, 2615, 2192, 1762, 1346,
960, 622, 347, 146, 29, 2, 64, 214, 444, 745,
1103, 1503, 1927, 2357, 2772, 3156, 3491, 3762, 3958, 4070,
4092, 4025, 3870, 3635, 3330, 2968, 2566, 2141, 1712, 1298,
916, 585, 318, 127, 21, 5, 78, 238, 478, 788,
1153, 1557, 1983, 2412, 2825, 3203, 3531, 3793, 3978, 4078,
4088, 4008, 3842, 3596, 3282, 2914, 2507, 2080, 1652, 1241,
865, 542, 285, 106, 13, 10, 96, 269, 521, 840,
1212, 1621, 2049, 2477, 2886, 3258, 3577, 3828, 4000, 4086,
4081, 3987, 3808, 3550, 3226, 2850, 2438, 2009, 1582, 1175,
807, 494, 249, 84, 6, 18, 120, 307, 572, 901,
1282, 1696, 2125, 2552, 2956, 3320, 3627, 3865, 4022, 4092,
4071, 3961, 3766, 3494, 3159, 2775, 2358, 1928, 1502, 1101,
742, 441, 211, 62, 1, 31, 150, 354, 632, 973,
1362, 1781, 2212, 2635, 3033, 3387, 3682, 3904, 4043, 4095,
4055, 3927, 3715, 3429, 3082, 2689, 2268, 1836, 1414, 1021,
672, 385, 172, 41, 0, 50, 188, 409, 702, 1056,
1453, 1877, 2308, 2728, 3117, 3459, 3739, 3943, 4063, 4094,
4034, 3885, 3655, 3353, 2994, 2592, 2167, 1735, 1318, 933,
598, 327, 133, 23, 4, 75, 234, 474, 784, 1149,
1555, 1983, 2413, 2828, 3207, 3535, 3797, 3981, 4079, 4087,
4004, 3834, 3584, 3266, 2894, 2484, 2055, 1625, 1214, 841,
520, 268, 95, 9, 14, 109, 290, 550, 877, 1255,
1669, 2100, 2528, 2935, 3302, 3614, 3856, 4017, 4091, 4073,
3965, 3772, 3502, 3167, 2783, 2365, 1933, 1507, 1104, 744,
441, 210, 62, 1, 32, 153, 358, 639, 982, 1373,
1794, 2226, 2651, 3048, 3401, 3693, 3913, 4048, 4095, 4050,
3916, 3699, 3407, 3055, 2659, 2234, 1802, 1380, 988, 644,
362, 155, 33, 1, 60, 208, 438, 740, 1100, 1503,
1930, 2362, 2780, 3166, 3501, 3772, 3965, 4073, 4091, 4017,
3854, 3612, 3299, 2930, 2522, 2093, 1661, 1247, 869, 543,
285, 105, 12, 11, 100, 276, 532, 856, 1232, 1646,
2077, 2507, 2916, 3287, 3602, 3847, 4012, 4090, 4075, 3970,
3779, 3510, 3176, 2792, 2374, 1941, 1513, 1109, 747, 443,
212, 62, 1, 32, 153, 359, 641, 986, 1378, 1800,
2234, 2659, 3056, 3409, 3700, 3918, 4051, 4095, 4047, 3909,
3688, 3393, 3038, 2639, 2213, 1779, 1358, 967, 625, 347,
145, 28, 2, 68, 222, 459, 766, 1131, 1538, 1967,
2400, 2817, 3199, 3530, 3794, 3980, 4079, 4087, 4003, 3832,
3580, 3260, 2885, 2473, 2041, 1610, 1198, 824, 506, 257,
88, 7, 18, 120, 308, 575, 908, 1292, 1711, 2144,
2573, 2978, 3342, 3647, 3881, 4032, 4094, 4063, 3943, 3737,
3455, 3109, 2716, 2293, 1859, 1433, 1035, 683, 391, 175,
42, 0, 50, 190, 413, 710, 1067, 1469, 1896, 2330,
2752, 3142, 3482, 3758, 3957, 4070, 4092, 4022, 3863, 3622,
3310, 2941, 2532, 2102, 1669, 1252, 872, 545, 285, 105,
12, 11, 102, 280, 539, 865, 1244, 1660, 2093, 2524,
2934, 3304, 3617, 3859, 4020, 4091, 4071, 3959, 3761, 3486,
3146, 2756, 2334, 1900, 1472, 1070, 712, 414, 190, 50,
0, 43, 176, 393, 685, 1039, 1438, 1865, 2300, 2723,
3117, 3461, 3742, 3947, 4066, 4093, 4028, 3874, 3637, 3328,
2962, 2554, 2123, 1689, 1271, 888, 557, 294, 110, 14,
9, 97, 273, 529, 854, 1233, 1648, 2082, 2514, 2925,
3296, 3611, 3855, 4018, 4091, 4072, 3961, 3764, 3489, 3148,
2758, 2336, 1901, 1472, 1070, 711, 413, 189, 49, 0,
43, 177, 396, 690, 1045, 1445, 1873, 2309, 2732, 3125,
3469, 3749, 3951, 4068, 4092, 4025, 3867, 3627, 3316, 2947,
2537, 2105, 1670, 1253, 871, 543, 283, 103, 11, 12,
105, 286, 546, 875, 1257, 1675, 2110, 2542, 2951, 3320,
3631, 3870, 4026, 4093, 4067, 3949, 3744, 3463, 3118, 2724,
2299, 1863, 1435, 1035, 681, 389, 172, 41, 0, 53,
196, 423, 724, 1085, 1490, 1920, 2356, 2778, 3167, 3505,
3777, 3970, 4076, 4089, 4010, 3842, 3592, 3272, 2896, 2482,
2047, 1613, 1199, 823, 503, 253, 85, 6, 20, 126,
319, 591, 929, 1319, 1741, 2177, 2608, 3013, 3374, 3674,
3901, 4043, 4095, 4053, 3920, 3702, 3408, 3053, 2651, 2223,
1786, 1361, 967, 623, 343, 141, 26, 3, 73, 233,
476, 790, 1161, 1573, 2007, 2442, 2860, 3240, 3566, 3823,
3999, 4086, 4080, 3982, 3795, 3528, 3194, 2808, 2387, 1951,
1519, 1111, 745, 440, 207, 59, 1, 36, 163, 377,
666, 1019, 1418, 1846, 2284, 2710, 3107, 3455, 3739, 3945,
4065, 4093, 4028, 3872, 3632, 3321, 2951, 2540, 2107, 1670,
1251, 869, 540, 280, 101, 10, 13, 109, 293, 558,
890, 1276, 1696, 2133, 2566, 2975, 3342, 3650, 3884, 4035,
4094, 4060, 3934, 3722, 3433, 3081, 2681, 2253, 1815, 1388,
990, 642, 357, 150, 30, 2, 68, 224, 463, 776,
1146, 1558, 1992, 2428, 2848, 3230, 3559, 3818, 3996, 4085,
4081, 3984, 3797, 3531, 3197, 2810, 2388, 1951, 1518, 1109,
743, 437, 205, 57, 1, 38, 167, 382, 674, 1029,
1430, 1860, 2298, 2725, 3121, 3468, 3749, 3952, 4069, 4092,
4022, 3861, 3617, 3301, 2927, 2513, 2078, 1641, 1223, 843,
518, 263, 90, 7, 18, 121, 313, 585, 924, 1314,
1738, 2177, 2609, 3016, 3378, 3679, 3905, 4046, 4095, 4050,
3913, 3690, 3392, 3032, 2627, 2195, 1757, 1332, 939, 598,
323, 127, 20, 6, 85, 255, 508, 831, 1210, 1627,
2064, 2500, 2916, 3291, 3609, 3856, 4019, 4091, 4070, 3956,
3753, 3473, 3126, 2730, 2303, 1864, 1433, 1031, 675, 383,
167, 37, 1, 58, 207, 441, 749, 1116, 1527, 1961,
2400, 2822, 3208, 3542, 3806, 3989, 4083, 4083, 3990, 3806,
3542, 3209, 2823, 2400, 1962, 1527, 1116, 749, 441, 207,
58, 1, 38, 167, 384, 677, 1033, 1436, 1868, 2307,
2735, 3131, 3477, 3757, 3958, 4071, 4091, 4016, 3851, 3602,
3282, 2905, 2488, 2050, 1613, 1196, 818, 496, 247, 80,
4, 23, 135, 335, 615, 961, 1356, 1784, 2224, 2656,
3060, 3416, 3710, 3927, 4057, 4094, 4037, 3888, 3653, 3345,
2976, 2565, 2130, 1690, 1268, 881, 548, 285, 103, 11,
13, 109, 295, 562, 898, 1286, 1710, 2150, 2585, 2995,
3361, 3667, 3897, 4042, 4095, 4053, 3918, 3697, 3399, 3038,
2632, 2199, 1759, 1332, 938, 596, 320, 125, 19, 7,
89, 262, 517, 844, 1226, 1646, 2085, 2523, 2938, 3312,
3627, 3869, 4027, 4093, 4064, 3942, 3732, 3444, 3091, 2690,
2259, 1818, 1388, 988, 638, 352, 146, 27, 3, 73,
235, 480, 799, 1175, 1592, 2030, 2469, 2888, 3269, 3592,
3844, 4013, 4090, 4073, 3961, 3761, 3481, 3135, 2738, 2309,
1868, 1435, 1031, 674, 380, 164, 36, 1, 61, 213,
451, 762, 1134, 1547, 1984, 2425, 2847, 3232, 3563, 3823,
4000, 4087, 4079, 3976, 3784, 3511, 3170, 2777, 2350, 1909,
1474, 1066, 704, 404, 180, 44, 0, 52, 197, 427,
733, 1101, 1512, 1948, 2389, 2814, 3204, 3539, 3805, 3990,
4083, 4083, 3987, 3801, 3534, 3197, 2807, 2381, 1940, 1504,
1093, 726, 422, 192, 50, 0, 46, 185, 410, 712,
1077, 1486, 1922, 2363, 2790, 3182, 3522, 3792, 3982, 4081,
4085, 3994, 3813, 3549, 3216, 2827, 2403, 1962, 1524, 1112,
742, 434, 201, 54, 0, 42, 177, 399, 699, 1061,
1469, 1905, 2347, 2775, 3169, 3511, 3784, 3977, 4079, 4086,
3999, 3820, 3558, 3226, 2839, 2415, 1974, 1536, 1122, 751,
441, 206, 56, 0, 40, 173, 394, 692, 1054, 1462,
1897, 2340, 2768, 3163, 3506, 3781, 3975, 4078, 4087, 4000,
3822, 3561, 3229, 2842, 2418, 1976, 1538, 1124, 752, 442,
206, 57, 0, 40, 173, 395, 693, 1055, 1463, 1899,
2342, 2771, 3166, 3509, 3783, 3976, 4079, 4087, 3999, 3820,
3557, 3225, 2837, 2412, 1969, 1531, 1117, 746, 437, 202,
55, 0, 42, 177, 401, 701, 1064, 1474, 1911, 2353,
2782, 3176, 3517, 3790, 3980, 4081, 4085, 3994, 3812, 3547,
3212, 2822, 2396, 1953, 1515, 1102, 733, 426, 195, 50,
0, 46, 185, 412, 716, 1082, 1494, 1931, 2375, 2802,
3194, 3533, 3802, 3988, 4083, 4083, 3987, 3800, 3530, 3191,
2799, 2370, 1927, 1490, 1078, 712, 409, 183, 44, 0,
52, 197, 430, 739, 1109, 1523, 1962, 2405, 2831, 3220,
3555, 3818, 3998, 4086, 4079, 3976, 3782, 3507, 3163, 2766,
2336, 1892, 1455, 1047, 685, 387, 168, 37, 1, 61,
214, 454, 769, 1144, 1561, 2002, 2445, 2869, 3254, 3582,
3839, 4010, 4090, 4073, 3961, 3759, 3476, 3125, 2724, 2292,
1847, 1412, 1007, 651, 361, 150, 29, 3, 73, 236,
485, 807, 1188, 1609, 2051, 2493, 2914, 3294, 3615, 3863,
4024, 4093, 4065, 3942, 3729, 3437, 3080, 2673, 2238, 1793,
1360, 960, 611, 330, 130, 20, 6, 89, 264, 523,
854, 1241, 1667, 2111, 2551, 2968, 3341, 3654, 3890, 4039,
4095, 4053, 3917, 3693, 3390, 3025, 2613, 2174, 1730, 1300,
906, 565, 295, 108, 12, 12, 109, 297, 568, 909,
1304, 1734, 2179, 2618, 3029, 3395, 3696, 3920, 4055, 4095,
4038, 3887, 3649, 3335, 2960, 2542, 2101, 1657, 1232, 845,
515, 258, 85, 5, 22, 135, 338, 623, 974, 1377,
1811, 2257, 2693, 3098, 3453, 3742, 3950, 4069, 4092, 4017,
3850, 3597, 3271, 2886, 2462, 2018, 1576, 1156, 778, 461,
218, 62, 1, 36, 167, 387, 686, 1049, 1460, 1898,
2344, 2775, 3172, 3516, 3790, 3982, 4081, 4084, 3991, 3805,
3536, 3196, 2802, 2372, 1926, 1487, 1073, 706, 403, 178,
42, 0, 56, 207, 445, 759, 1134, 1553, 1995, 2440,
2866, 3253, 3583, 3840, 4012, 4090, 4072, 3957, 3752, 3465,
3111, 2707, 2271, 1825, 1389, 985, 631, 344, 138, 23,
5, 83, 255, 512, 842, 1230, 1656, 2101, 2544, 2963,
3338, 3652, 3890, 4040, 4095, 4053, 3915, 3688, 3384, 3016,
2601, 2161, 1715, 1284, 891, 552, 284, 100, 9, 15,
118, 313, 590, 937, 1337, 1770, 2217, 2656, 3065, 3427,
3722, 3938, 4063, 4093, 4025, 3863, 3615, 3291, 2909, 2485,
2040, 1596, 1173, 792, 471, 225, 66, 1, 34, 163,
382, 680, 1044, 1455, 1895, 2341, 2774, 3173, 3517, 3792,
3983, 4082, 4084, 3988, 3800, 3529, 3186, 2790, 2357, 1910,
1470, 1057, 692, 391, 169, 37, 1, 63, 219, 463,
782, 1162, 1585, 2029, 2474, 2899, 3283, 3609, 3859, 4023,
4093, 4065, 3940, 3725, 3430, 3069, 2659, 2219, 1772, 1337,
937, 590, 312, 117, 15, 10, 102, 288, 557, 898,
1294, 1726, 2173, 2614, 3029, 3396, 3699, 3922, 4056, 4094,
4034, 3879, 3636, 3317, 2938, 2515, 2071, 1625, 1199, 814,
488, 237, 72, 2, 30, 155, 370, 666, 1027, 1438,
1878, 2326, 2761, 3161, 3508, 3785, 3979, 4081, 4085, 3991,
3804, 3533, 3191, 2793, 2361, 1913, 1471, 1057, 691, 390,
168, 36, 1, 64, 222, 468, 789, 1171, 1595, 2040,
2486, 2911, 3295, 3618, 3867, 4028, 4094, 4061, 3932, 3713,
3413, 3049, 2636, 2194, 1746, 1312, 913, 569, 296, 107,
11, 13, 113, 306, 582, 929, 1329, 1764, 2213, 2653,
3065, 3428, 3724, 3940, 4065, 4093, 4022, 3857, 3605, 3278,
2891, 2464, 2017, 1572, 1149, 770, 452, 211, 58, 0,
42, 179, 407, 713, 1084, 1501, 1945, 2393, 2825, 3219,
3557, 3822, 4002, 4088, 4076, 3966, 3763, 3478, 3124, 2719,
2281, 1831, 1392, 985, 629, 341, 135, 22, 6, 88,
265, 527, 863, 1256, 1687, 2136, 2580, 2998, 3371, 3680,
3910, 4051, 4095, 4040, 3889, 3650, 3333, 2954, 2531, 2086,
1638, 1210, 822, 494, 240, 74, 2, 30, 155, 371,
668, 1031, 1444, 1886, 2335, 2771, 3172, 3518, 3794, 3985,
4083, 4082, 3984, 3791, 3515, 3168, 2766, 2330, 1881, 1439,
1027, 664, 367, 152, 29, 3, 76, 244, 499, 829,
1218, 1647, 2095, 2541, 2964, 3342, 3657, 3895, 4043, 4095,
4048, 3904, 3671, 3359, 2983, 2562, 2117, 1668, 1237, 846,
513, 253, 81, 4, 26, 145, 357, 650, 1011, 1422,
1863, 2314, 2751, 3155, 3504, 3784, 3979, 4081, 4084, 3989,
3800, 3526, 3180, 2779, 2343, 1893, 1450, 1036, 671, 373,
156, 30, 2, 74, 240, 495, 824, 1213, 1643, 2092,
2539, 2962, 3340, 3656, 3895, 4043, 4095, 4048, 3903, 3669,
3356, 2979, 2558, 2111, 1662, 1231, 840, 507, 249, 79,
3, 27, 149, 363, 659, 1022, 1435, 1878, 2329, 2766,
3168, 3516, 3793, 3985, 4083, 4082, 3982, 3789, 3511, 3161,
2758, 2320, 1869, 1427, 1014, 652, 358, 146, 26, 4,
82, 255, 515, 850, 1243, 1675, 2125, 2571, 2992, 3367,
3678, 3910, 4051, 4095, 4039, 3886, 3644, 3325, 2943, 2517,
2069, 1620, 1191, 804, 478, 228, 66, 1, 36, 168,
392, 696, 1066, 1484, 1929, 2380, 2815, 3213, 3553, 3821,
4002, 4088, 4075, 3963, 3758, 3469, 3111, 2702, 2260, 1808,
1368, 961, 607, 323, 123, 16, 9, 101, 288, 561,
906, 1306, 1743, 2195, 2639, 3055, 3422, 3721, 3939, 4065,
4092, 4020, 3852, 3595, 3263, 2872, 2441, 1990, 1542, 1119,
741, 427, 192, 47, 0, 53, 203, 443, 762, 1143,
1568, 2017, 2467, 2897, 3285, 3613, 3865, 4028, 4094, 4060,
3928, 3704, 3399, 3028, 2610, 2163, 1712, 1276, 878, 538,
271, 91, 6, 21, 135, 343, 634, 994, 1406, 1848,
2301, 2741, 3148, 3500, 3782, 3979, 4081, 4084, 3987, 3796,
3519, 3170, 2766, 2327, 1875, 1430, 1016, 653, 357, 145,
25, 4, 84, 259, 522, 860, 1255, 1690, 2142, 2589,
3010, 3384, 3692, 3920, 4056, 4094, 4032, 3872, 3623, 3297,
2910, 2480, 2030, 1580, 1153, 770, 449, 207, 55, 0,
46, 190, 425, 739, 1118, 1542, 1991, 2443, 2875, 3267,
3599, 3855, 4022, 4093, 4063, 3935, 3714, 3411, 3041, 2623,
2176, 1723, 1286, 886, 544, 275, 93, 7, 21, 134,
341, 633, 993, 1405, 1849, 2303, 2744, 3151, 3503, 3785,
3981, 4082, 4083, 3984, 3790, 3511, 3160, 2754, 2313, 1859,
1415, 1001, 639, 347, 137, 22, 6, 90, 271, 539,
881, 1280, 1717, 2171, 2618, 3037, 3408, 3712, 3934, 4063,
4093, 4023, 3855, 3599, 3266, 2873, 2440, 1987, 1538, 1113,
735, 421, 187, 44, 0, 57, 212, 457, 780, 1166,
1595, 2047, 2498, 2927, 3313, 3637, 3883, 4038, 4095, 4051,
3909, 3675, 3361, 2982, 2557, 2107, 1654, 1221, 828, 495,
239, 72, 2, 33, 163, 386, 691, 1063, 1484, 1932,
2386, 2823, 3222, 3563, 3829, 4008, 4090, 4071, 3953, 3740,
3444, 3079, 2664, 2217, 1763, 1322, 918, 569, 292, 103,
9, 16, 124, 326, 613, 971, 1382, 1826, 2281, 2724,
3134, 3490, 3776, 3975, 4080, 4084, 3988, 3796, 3518, 3166,
2760, 2319, 1864, 1418, 1003, 640, 346, 137, 21, 6,
92, 274, 544, 889, 1290, 1729, 2184, 2632, 3051, 3421,
3722, 3941, 4066, 4092, 4016, 3843, 3581, 3244, 2847, 2410,
1956, 1506, 1083, 708, 399, 171, 36, 1, 67, 231,
485, 816, 1209, 1642, 2096, 2547, 2974, 3355, 3671, 3907,
4050, 4095, 4038, 3883, 3636, 3311, 2924, 2493, 2040, 1587,
1157, 771, 449, 205, 53, 0, 48, 195, 434, 753,
1136, 1565, 2017, 2471, 2903, 3294, 3622, 3873, 4033, 4094,
4055, 3915, 3683, 3370, 2991, 2566, 2114, 1660, 1225, 830,
496, 239, 71, 2, 34, 166, 391, 699, 1073, 1496,
1946, 2402, 2839, 3238, 3577, 3841, 4015, 4092, 4067, 3942,
3723, 3420, 3050, 2630, 2180, 1725, 1285, 883, 539, 270,
89, 5, 23, 142, 355, 652, 1019, 1437, 1885, 2341,
2783, 3188, 3536, 3811, 3998, 4087, 4076, 3963, 3756, 3463,
3100, 2684, 2237, 1781, 1337, 929, 577, 298, 106, 10,
16, 123, 325, 614, 973, 1387, 1833, 2289, 2734, 3145,
3501, 3784, 3982, 4082, 4082, 3980, 3782, 3498, 3141, 2730,
2285, 1828, 1382, 969, 610, 322, 121, 15, 11, 108,
301, 582, 936, 1345, 1789, 2246, 2693, 3108, 3471, 3762,
3967, 4077, 4086, 3993, 3804, 3526, 3175, 2768, 2324, 1867,
1419, 1002, 637, 343, 134, 20, 7, 96, 283, 557,
906, 1312, 1755, 2212, 2661, 3079, 3446, 3743, 3956, 4073,
4089, 4003, 3820, 3548, 3201, 2796, 2354, 1897, 1447, 1028,
659, 359, 144, 24, 5, 88, 269, 539, 884, 1288,
1729, 2186, 2637, 3058, 3428, 3729, 3947, 4069, 4091, 4010,
3831, 3563, 3219, 2817, 2376, 1918, 1467, 1045, 674, 371,
151, 27, 4, 83, 260, 527, 870, 1271, 1712, 2169,
2621, 3043, 3416, 3721, 3941, 4067, 4092, 4014, 3838, 3572,
3230, 2829, 2388, 1931, 1479, 1056, 682, 377, 156, 29,
3, 80, 255, 521, 862, 1263, 1704, 2162, 2613, 3037,
3411, 3717, 3939, 4066, 4092, 4015, 3840, 3575, 3234, 2832,
2392, 1934, 1482, 1058, 684, 378, 156, 29, 3, 80,
255, 520, 862, 1264, 1704, 2162, 2615, 3038, 3412, 3718,
3940, 4066, 4092, 4014, 3838, 3572, 3230, 2828, 2387, 1929,
1477, 1053, 679, 375, 154, 28, 4, 82, 259, 526,
870, 1272, 1714, 2172, 2624, 3048, 3420, 3724, 3944, 4068,
4091, 4011, 3832, 3564, 3219, 2815, 2373, 1915, 1463, 1040,
668, 366, 148, 25, 5, 87, 268, 538, 884, 1289,
1732, 2191, 2643, 3064, 3435, 3736, 3951, 4071, 4090, 4005,
3822, 3549, 3201, 2795, 2351, 1891, 1440, 1019, 650, 352,
139, 22, 7, 94, 281, 556, 906, 1314, 1759, 2218,
2669, 3089, 3456, 3752, 3962, 4076, 4087, 3996, 3806, 3528,
3175, 2765, 2319, 1860, 1409, 991, 627, 333, 127, 17,
10, 105, 298, 580, 936, 1348, 1795, 2255, 2704, 3120,
3483, 3772, 3975, 4081, 4083, 3983, 3786, 3500, 3141, 2727,
2279, 1819, 1370, 956, 597, 311, 112, 12, 14, 119,
322, 611, 973, 1390, 1839, 2300, 2747, 3159, 3515, 3797,
3990, 4086, 4078, 3967, 3760, 3466, 3100, 2681, 2230, 1770,
1323, 914, 561, 284, 96, 7, 21, 137, 350, 649,
1019, 1441, 1893, 2353, 2798, 3205, 3553, 3825, 4007, 4090,
4070, 3947, 3728, 3424, 3050, 2626, 2172, 1712, 1269, 865,
521, 255, 79, 3, 30, 160, 386, 695, 1073, 1501,
1956, 2416, 2857, 3257, 3596, 3856, 4025, 4094, 4058, 3921,
3689, 3374, 2991, 2561, 2105, 1645, 1206, 810, 476, 222,
61, 0, 44, 188, 428, 749, 1136, 1570, 2027, 2486,
2923, 3315, 3643, 3889, 4043, 4095, 4043, 3890, 3644, 3316,
2924, 2487, 2029, 1571, 1137, 749, 428, 188, 44, 0,
61, 223, 477, 811, 1208, 1648, 2108, 2565, 2995, 3378,
3693, 3924, 4060, 4093, 4023, 3852, 3590, 3249, 2847, 2404,
1944, 1488, 1061, 684, 377, 154, 28, 4, 84, 264,
535, 883, 1290, 1736, 2197, 2651, 3074, 3445, 3745, 3958,
4075, 4088, 3997, 3807, 3527, 3173, 2760, 2312, 1850, 1398,
979, 615, 323, 120, 14, 12, 114, 314, 602, 964,
1382, 1833, 2295, 2744, 3158, 3516, 3798, 3992, 4086, 4077,
3964, 3753, 3456, 3086, 2664, 2210, 1748, 1301, 893, 543,
270, 87, 5, 26, 151, 372, 679, 1056, 1483, 1939,
2401, 2844, 3247, 3589, 3852, 4023, 4093, 4059, 3922, 3690,
3373, 2989, 2557, 2099, 1638, 1198, 802, 469, 216, 57,
0, 47, 197, 441, 767, 1158, 1595, 2055, 2514, 2950,
3340, 3664, 3905, 4051, 4095, 4034, 3872, 3616, 3280, 2882,
2440, 1979, 1521, 1090, 708, 394, 165, 32, 2, 77,
253, 520, 865, 1271, 1717, 2179, 2635, 3061, 3435, 3738,
3954, 4073, 4088, 3999, 3810, 3531, 3176, 2763, 2313, 1850,
1397, 977, 612, 321, 118, 13, 13, 117, 320, 611,
976, 1396, 1849, 2312, 2762, 3175, 3531, 3810, 3999, 4088,
4073, 3954, 3737, 3434, 3059, 2633, 2177, 1714, 1268, 862,
517, 250, 76, 2, 34, 168, 399, 715, 1099, 1531,
1990, 2452, 2894, 3292, 3626, 3879, 4038, 4095, 4047, 3896,
3651, 3323, 2930, 2492, 2030, 1570, 1134, 745, 423, 184,
41, 1, 66, 232, 492, 832, 1234, 1678, 2141, 2599,
3029, 3409, 3718, 3942, 4068, 4091, 4008, 3825, 3551, 3199,
2788, 2339, 1875, 1420, 997, 628, 332, 124, 16, 11,
111, 311, 600, 963, 1383, 1836, 2300, 2752, 3167, 3524,
3806, 3997, 4088, 4074, 3955, 3739, 3435, 3060, 2633, 2176,
1712, 1266, 859, 514, 248, 74, 2, 35, 172, 405,
723, 1109, 1544, 2004, 2467, 2908, 3305, 3637, 3887, 4042,
4095, 4042, 3887, 3637, 3304, 2907, 2466, 2003, 1543, 1108,
722, 404, 171, 35, 2, 75, 249, 516, 862, 1269,
1717, 2181, 2639, 3066, 3440, 3743, 3958, 4075, 4087, 3994,
3801, 3517, 3157, 2740, 2287, 1822, 1369, 950, 589, 302,
105, 9, 18, 132, 344, 645, 1018, 1444, 1901, 2366,
2814, 3223, 3571, 3841, 4018, 4093, 4062, 3927, 3696, 3379,
2993, 2559, 2098, 1634, 1192, 794, 461, 209, 53, 0,
53, 208, 459, 792, 1190, 1632, 2096, 2557, 2992, 3378,
3695, 3927, 4062, 4093, 4018, 3841, 3571, 3222, 2813, 2364,
1899, 1441, 1015, 642, 342, 130, 17, 10, 108, 306,
594, 958, 1378, 1833, 2298, 2751, 3168, 3526, 3808, 3999,
4089, 4072, 3952, 3732, 3425, 3047, 2617, 2158, 1693, 1246,
841, 498, 235, 67, 1, 41, 185, 426, 750, 1142,
1581, 2044, 2508, 2947, 3340, 3665, 3907, 4053, 4094, 4030,
3862, 3601, 3259, 2854, 2407, 1941, 1481, 1051, 672, 364,
144, 23, 6, 96, 287, 569, 928, 1345, 1798, 2265,
2720, 3140, 3504, 3792, 3989, 4086, 4077, 3962, 3748, 3446,
3071, 2643, 2184, 1717, 1268, 860, 513, 246, 72, 2,
37, 177, 414, 736, 1126, 1564, 2027, 2491, 2933, 3328,
3657, 3902, 4050, 4095, 4033, 3868, 3608, 3267, 2862, 2416,
1950, 1489, 1057, 677, 368, 146, 23, 6, 95, 285,
567, 926, 1344, 1798, 2265, 2721, 3142, 3505, 3793, 3990,
4086, 4076, 3960, 3745, 3441, 3064, 2635, 2175, 1708, 1260,
852, 506, 241, 69, 1, 39, 182, 423, 748, 1140,
1580, 2044, 2509, 2949, 3343, 3669, 3910, 4054, 4094, 4027,
3857, 3593, 3247, 2840, 2391, 1924, 1463, 1033, 656, 352,
136, 19, 9, 104, 301, 590, 954, 1375, 1832, 2300,
2754, 3172, 3531, 3812, 4002, 4089, 4070, 3946, 3722, 3411,
3028, 2595, 2133, 1666, 1219, 816, 477, 219, 58, 0,
49, 203, 453, 786, 1185, 1630, 2096, 2559, 2996, 3383,
3701, 3932, 4065, 4092, 4012, 3830, 3554, 3200, 2785, 2332,
1864, 1406, 981, 612, 317, 114, 11, 16, 126, 337,
637, 1011, 1440, 1900, 2368, 2819, 3230, 3579, 3848, 4022,
4094, 4058, 3917, 3678, 3354, 2961, 2521, 2056, 1590, 1148,
754, 427, 185, 40, 1, 69, 240, 506, 853, 1263,
1713, 2181, 2642, 3072, 3449, 3751, 3965, 4078, 4085, 3985,
3783, 3490, 3122, 2698, 2239, 1770, 1316, 900, 545, 268,
84, 3, 30, 162, 394, 712, 1100, 1538, 2002, 2469,
2914, 3313, 3646, 3895, 4048, 4095, 4035, 3870, 3610, 3268,
2862, 2413, 1944, 1482, 1049, 668, 360, 140, 21, 8,
102, 298, 586, 951, 1374, 1831, 2301, 2757, 3175, 3535,
3816, 4005, 4090, 4068, 3941, 3713, 3398, 3012, 2576, 2111,
1643, 1197, 795, 459, 207, 51, 0, 57, 219, 476,
817, 1222, 1670, 2139, 2602, 3037, 3419, 3729, 3951, 4073,
4088, 3996, 3801, 3514, 3150, 2727, 2269, 1800, 1343, 923,
563, 281, 91, 5, 26, 154, 381, 696, 1083, 1520,
1985, 2453, 2900, 3302, 3638, 3890, 4045, 4095, 4037, 3874,
3615, 3274, 2867, 2418, 1949, 1485, 1051, 669, 360, 140,
21, 8, 103, 300, 589, 956, 1380, 1839, 2309, 2765,
3184, 3542, 3822, 4008, 4091, 4066, 3934, 3703, 3385, 2996,
2557, 2091, 1622, 1177, 777, 444, 196, 45, 0, 64,
232, 496, 841, 1251, 1702, 2172, 2635, 3068, 3446, 3750,
3965, 4078, 4084, 3983, 3779, 3484, 3113, 2685, 2224, 1754,
1299, 883, 529, 256, 77, 2, 35, 175, 414, 739,
1133, 1576, 2043, 2511, 2954, 3350, 3676, 3917, 4058, 4093,
4020, 3843, 3571, 3218, 2803, 2348, 1878, 1416, 988, 615,
319, 114, 11, 16, 129, 343, 647, 1026, 1458, 1922,
2393, 2845, 3255, 3601, 3865, 4032, 4095, 4049, 3897, 3647,
3312, 2911, 2463, 1994, 1528, 1089, 700, 383, 155, 26,
5, 92, 283, 567, 929, 1351, 1810, 2281, 2740, 3163,
3526, 3811, 4002, 4090, 4069, 3941, 3713, 3397, 3008, 2569,
2103, 1633, 1185, 783, 448, 198, 46, 0, 63, 231,
496, 843, 1254, 1707, 2178, 2642, 3075, 3453, 3756, 3969,
4080, 4083, 3978, 3770, 3471, 3096, 2666, 2203, 1731, 1276,
863, 512, 243, 69, 1, 41, 188, 434, 766, 1166,
1612, 2082, 2550, 2991, 3382, 3702, 3934, 4066, 4091, 4007,
3819, 3536, 3175, 2753, 2294, 1822, 1362, 938, 573, 287,
94, 6, 25, 153, 381, 698, 1087, 1527, 1994, 2465,
2913, 3315, 3650, 3899, 4050, 4095, 4030, 3860, 3593, 3244,
2831, 2377, 1905, 1440, 1008, 632, 330, 120, 13, 14,
124, 336, 639, 1017, 1450, 1915, 2387, 2841, 3253, 3600,
3865, 4033, 4095, 4048, 3894, 3642, 3305, 2901, 2451, 1980,
1512, 1073, 686, 372, 146, 23, 7, 100, 297, 587,
956, 1382, 1844, 2317, 2775, 3195, 3554, 3832, 4015, 4092,
4061, 3923, 3684, 3358, 2961, 2517, 2047, 1577, 1132, 736,
410, 172, 33, 3, 81, 265, 543, 902, 1323, 1782,
2255, 2717, 3143, 3511, 3801, 3997, 4089, 4071, 3946, 3719,
3403, 3014, 2574, 2105, 1634, 1184, 781, 445, 195, 44,
1, 66, 238, 506, 857, 1272, 1728, 2201, 2666, 3098,
3473, 3773, 3980, 4084, 4079, 3965, 3748, 3441, 3059, 2622,
2156, 1683, 1230, 820, 476, 217, 55, 0, 55, 216,
475, 819, 1229, 1682, 2155, 2622, 3058, 3441, 3748, 3965,
4079, 4084, 3980, 3772, 3472, 3096, 2663, 2198, 1724, 1268,
853, 503, 235, 65, 0, 46, 199, 451, 788, 1194,
1644, 2117, 2586, 3026, 3413, 3728, 3952, 4074, 4087, 3991,
3791, 3497, 3125, 2696, 2231, 1757, 1299, 880, 524, 250,
73, 1, 40, 186, 432, 764, 1166, 1615, 2087, 2558,
3000, 3392, 3711, 3941, 4070, 4089, 3999, 3804, 3515, 3147,
2720, 2257, 1782, 1322, 900, 541, 262, 79, 2, 35,
176, 418, 747, 1146, 1594, 2066, 2537, 2982, 3376, 3699,
3934, 4066, 4091, 4005, 3814, 3528, 3162, 2737, 2274, 1799,
1337, 914, 552, 270, 84, 3, 32, 170, 409, 737,
1134, 1581, 2053, 2525, 2971, 3367, 3692, 3929, 4065, 4091,
4008, 3819, 3535, 3170, 2745, 2283, 1808, 1345, 921, 557,
274, 86, 3, 31, 168, 406, 732, 1129, 1576, 2048,
2520, 2967, 3364, 3690, 3928, 4064, 4091, 4009, 3820, 3536,
3172, 2747, 2284, 1808, 1346, 921, 557, 273, 85, 3,
32, 169, 407, 734, 1132, 1579, 2052, 2524, 2971, 3368,
3693, 3930, 4065, 4091, 4007, 3817, 3532, 3166, 2740, 2276,
1801, 1338, 914, 551, 269, 83, 3, 33, 173, 413,
742, 1142, 1590, 2064, 2536, 2982, 3377, 3701, 3935, 4067,
4090, 4003, 3810, 3521, 3153, 2725, 2261, 1785, 1323, 900,
539, 260, 78, 2, 37, 180, 425, 757, 1159, 1610,
2083, 2555, 3000, 3393, 3713, 3943, 4071, 4089, 3996, 3798,
3505, 3134, 2703, 2237, 1761, 1300, 880, 522, 248, 71,
1, 42, 191, 441, 778, 1184, 1637, 2112, 2583, 3025,
3415, 3730, 3954, 4075, 4086, 3986, 3782, 3483, 3107, 2673,
2205, 1728, 1269, 853, 500, 232, 62, 0, 49, 206,
463, 807, 1217, 1672, 2148, 2618, 3058, 3442, 3751, 3968,
4080, 4082, 3974, 3761, 3455, 3072, 2634, 2165, 1688, 1232,
819, 473, 213, 52, 0, 59, 226, 491, 842, 1257,
1716, 2193, 2662, 3097, 3476, 3776, 3983, 4085, 4076, 3957,
3734, 3420, 3030, 2588, 2116, 1640, 1187, 780, 442, 191,
42, 1, 72, 250, 526, 884, 1306, 1768, 2246, 2712,
3143, 3514, 3805, 4000, 4090, 4068, 3936, 3702, 3377, 2981,
2533, 2059, 1584, 1135, 735, 407, 167, 31, 4, 88,
279, 566, 934, 1363, 1829, 2306, 2770, 3194, 3556, 3836,
4018, 4093, 4057, 3911, 3663, 3328, 2923, 2470, 1994, 1521,
1076, 685, 368, 142, 20, 9, 109, 314, 614, 992,
1428, 1898, 2375, 2835, 3252, 3603, 3869, 4036, 4095, 4042,
3880, 3618, 3271, 2856, 2398, 1920, 1450, 1012, 630, 326,
116, 11, 17, 134, 356, 670, 1059, 1502, 1975, 2452,
2906, 3314, 3653, 3904, 4054, 4094, 4022, 3843, 3565, 3205,
2781, 2317, 1839, 1372, 942, 572, 283, 90, 4, 30,
166, 405, 734, 1134, 1585, 2061, 2536, 2984, 3381, 3705,
3939, 4069, 4089, 3997, 3799, 3504, 3130, 2697, 2228, 1750,
1287, 866, 510, 238, 65, 0, 48, 204, 462, 806,
1219, 1676, 2154, 2627, 3067, 3452, 3760, 3974, 4082, 4080,
3966, 3747, 3435, 3047, 2604, 2131, 1653, 1197, 787, 447,
194, 42, 1, 72, 250, 528, 888, 1313, 1777, 2256,
2724, 3155, 3525, 3814, 4006, 4091, 4064, 3926, 3686, 3355,
2953, 2501, 2024, 1549, 1101, 705, 382, 151, 23, 7,
103, 305, 603, 980, 1416, 1887, 2366, 2828, 3247, 3600,
3868, 4036, 4095, 4042, 3879, 3615, 3266, 2850, 2389, 1910,
1439, 1000, 620, 317, 110, 9, 20, 143, 370, 689,
1083, 1529, 2005, 2482, 2936, 3341, 3675, 3920, 4061, 4092,
4011, 3821, 3535, 3166, 2736, 2268, 1788, 1322, 896, 534,
254, 73, 1, 41, 192, 445, 785, 1196, 1653, 2131,
2606, 3049, 3438, 3749, 3968, 4080, 4081, 3970, 3753, 3443,
3055, 2612, 2138, 1659, 1201, 790, 448, 194, 42, 1,
72, 252, 531, 893, 1319, 1785, 2266, 2734, 3165, 3534,
3821, 4011, 4092, 4061, 3919, 3673, 3338, 2932, 2478, 1999,
1523, 1076, 683, 364, 139, 19, 10, 114, 325, 630,
1014, 1454, 1928, 2408, 2868, 3283, 3629, 3889, 4047, 4095,
4029, 3855, 3581, 3222, 2798, 2333, 1852, 1382, 949, 576,
284, 90, 4, 31, 168, 410, 742, 1146, 1600, 2079,
2555, 3004, 3400, 3722, 3951, 4074, 4086, 3985, 3778, 3474,
3092, 2652, 2179, 1698, 1237, 820, 472, 210, 50, 0,
64, 237, 510, 868, 1291, 1756, 2238, 2708, 3143, 3516,
3809, 4004, 4091, 4065, 3927, 3686, 3353, 2949, 2495, 2016,
1538, 1089, 693, 372, 143, 20, 9, 111, 320, 625,
1008, 1449, 1923, 2404, 2865, 3281, 3629, 3889, 4047, 4095,
4029, 3853, 3578, 3218, 2792, 2326, 1844, 1374, 941, 569,
279, 87, 3, 33, 175, 420, 755, 1162, 1618, 2098,
2575, 3023, 3417, 3735, 3959, 4078, 4084, 3977, 3763, 3453,
3066, 2623, 2147, 1666, 1207, 793, 450, 194, 42, 1,
74, 255, 537, 902, 1331, 1799, 2282, 2751, 3181, 3549,
3833, 4018, 4093, 4056, 3906, 3654, 3312, 2900, 2441, 1960,
1483, 1039, 650, 338, 122, 13, 16, 132, 355, 672,
1065, 1513, 1990, 2471, 2928, 3336, 3673, 3919, 4062, 4092,
4009, 3816, 3526, 3153, 2719, 2247, 1765, 1298, 872, 512,
238, 64, 0, 50, 212, 475, 826, 1245, 1708, 2190,
2665, 3105, 3486, 3787, 3992, 4088, 4071, 3941, 3706, 3378,
2977, 2523, 2044, 1564, 1111, 711, 385, 151, 23, 8,
106, 312, 615, 998, 1439, 1914, 2397, 2860, 3278, 3627,
3888, 4047, 4095, 4028, 3851, 3573, 3211, 2783, 2315, 1832,
1360, 927, 557, 269, 81, 2, 37, 185, 436, 777,
1189, 1649, 2131, 2608, 3054, 3444, 3756, 3973, 4083, 4079,
3961, 3737, 3419, 3024, 2574, 2096, 1614, 1157, 749, 414,
170, 31, 4, 91, 288, 583, 959, 1397, 1870, 2354,
2820, 3244, 3600, 3870, 4038, 4095, 4038, 3869, 3599, 3242,
2818, 2351, 1867, 1394, 957, 580, 286, 90, 4, 32,
172, 417, 754, 1162, 1620, 2102, 2581, 3031, 3425, 3742,
3965, 4080, 4081, 3969, 3750, 3435, 3043, 2595, 2116, 1633,
1174, 764, 425, 177, 34, 3, 87, 280, 573, 948,
1384, 1858, 2342, 2810, 3235, 3594, 3866, 4036, 4095, 4039,
3872, 3603, 3246, 2823, 2356, 1871, 1397, 959, 582, 287,
91, 4, 32, 172, 418, 755, 1165, 1623, 2106, 2586,
3035, 3429, 3745, 3967, 4081, 4081, 3966, 3745, 3428, 3034,
2584, 2104, 1622, 1163, 753, 416, 171, 31, 4, 92,
289, 585, 963, 1402, 1877, 2362, 2829, 3252, 3608, 3876,
4041, 4095, 4034, 3861, 3586, 3225, 2798, 2329, 1844, 1370,
935, 561, 272, 82, 2, 37, 186, 438, 781, 1196,
1658, 2142, 2620, 3067, 3456, 3766, 3980, 4085, 4075, 3952,
3721, 3397, 2996, 2543, 2061, 1579, 1123, 719, 389, 153,
23, 8, 106, 315, 620, 1006, 1450, 1928, 2413, 2877,
3295, 3642, 3900, 4053, 4094, 4019, 3834, 3548, 3178, 2744,
2270, 1785, 1314, 884, 520, 242, 65, 0, 51, 213,
479, 834, 1256, 1723, 2209, 2685, 3126, 3506, 3803, 4002,
4091, 4064, 3924, 3679, 3341, 2930, 2470, 1986, 1505, 1055,
661, 345, 125, 13, 16, 133, 359, 679, 1077, 1529,
2011, 2495, 2953, 3361, 3694, 3935, 4069, 4089, 3994, 3789,
3486, 3102, 2658, 2180, 1694, 1229, 809, 460, 199, 44,
1, 74, 258, 543, 913, 1347, 1821, 2308, 2779, 3210,
3575, 3853, 4030, 4095, 4044, 3880, 3613, 3258, 2834, 2365,
1879, 1402, 962, 583, 287, 90, 4, 33, 176, 425,
765, 1178, 1641, 2126, 2606, 3056, 3448, 3761, 3977, 4084,
4076, 3953, 3723, 3398, 2996, 2541, 2058, 1574, 1117, 713,
384, 149, 22, 9, 111, 324, 633, 1023, 1471, 1951,
2437, 2901, 3316, 3660, 3912, 4059, 4092, 4010, 3816, 3522,
3145, 2705, 2228, 1741, 1272, 846, 488, 219, 53, 0,
63, 239, 517, 881, 1312, 1784, 2272, 2746, 3182, 3552,
3838, 4022, 4094, 4050, 3893, 3631, 3279, 2858, 2390, 1903,
1425, 981, 598, 297, 96, 5, 30, 169, 415, 753,
1165, 1627, 2113, 2595, 3046, 3441, 3756, 3974, 4083, 4077,
3955, 3726, 3400, 2999, 2543, 2059, 1574, 1116, 711, 382,
148, 21, 9, 113, 327, 639, 1031, 1480, 1962, 2448,
2912, 3326, 3668, 3918, 4062, 4091, 4004, 3806, 3508, 3127,
2685, 2206, 1719, 1250, 826, 472, 207, 47, 1, 71,
253, 537, 908, 1343, 1818, 2306, 2780, 3212, 3577, 3856,
4032, 4095, 4041, 3874, 3604, 3244, 2817, 2345, 1857, 1380,
940, 564, 272, 81, 2, 39, 191, 448, 797, 1216,
1683, 2171, 2652, 3098, 3484, 3789, 3995, 4089, 4068, 3931,
3687, 3350, 2938, 2476, 1989, 1506, 1053, 657, 341, 121,
12, 18, 140, 371, 697, 1100, 1558, 2043, 2528, 2986,
3391, 3719, 3952, 4076, 4084, 3977, 3759, 3444, 3049, 2597,
2114, 1626, 1163, 751, 412, 166, 28, 5, 99, 304,
608, 994, 1441, 1922, 2410, 2878, 3298, 3647, 3905, 4056,
4093, 4013, 3821, 3528, 3150, 2709, 2230, 1741, 1270, 842,
484, 215, 51, 0, 67, 247, 529, 899, 1334, 1810,
2299, 2774, 3208, 3575, 3855, 4032, 4095, 4041, 3873, 3601,
3241, 2811, 2339, 1849, 1371, 932, 556, 266, 77, 1,
43, 198, 460, 813, 1236, 1705, 2194, 2675, 3120, 3504,
3804, 4003, 4091, 4062, 3918, 3666, 3322, 2905, 2439, 1950,
1467, 1017, 626, 317, 107, 7, 25, 158, 400, 736,
1147, 1609, 2097, 2582, 3036, 3434, 3752, 3973, 4083, 4077,
3954, 3722, 3395, 2989, 2530, 2044, 1557, 1099, 695, 368,
138, 17, 13, 125, 347, 667, 1066, 1522, 2007, 2495,
2957, 3367, 3702, 3941, 4072, 4087, 3984, 3771, 3459, 3065,
2614, 2130, 1641, 1175, 760, 418, 170, 30, 5, 98,
302, 607, 995, 1443, 1925, 2415, 2884, 3304, 3653, 3909,
4058, 4092, 4009, 3813, 3515, 3133, 2689, 2208, 1717, 1246,
821, 466, 202, 44, 1, 76, 264, 555, 931, 1372,
1851, 2342, 2816, 3245, 3606, 3878, 4044, 4095, 4028, 3848,
3564, 3193, 2756, 2278, 1787, 1311, 877, 511, 233, 59,
0, 59, 232, 509, 875, 1309, 1785, 2276, 2754, 3191,
3563, 3847, 4028, 4095, 4044, 3878, 3606, 3245, 2815, 2340,
1849, 1369, 929, 552, 262, 75, 1, 45, 205, 470,
827, 1254, 1726, 2217, 2699, 3143, 3523, 3819, 4013, 4093,
4055, 3902, 3642, 3290, 2866, 2395, 1904, 1421, 975, 590,
289, 90, 3, 35, 182, 437, 785, 1206, 1676, 2166,
2650, 3100, 3488, 3793, 3998, 4090, 4065, 3922, 3672, 3328,
2910, 2442, 1951, 1466, 1015, 623, 313, 104, 6, 27,
164, 410, 751, 1166, 1633, 2123, 2609, 3062, 3457, 3771,
3985, 4087, 4071, 3939, 3697, 3359, 2946, 2481, 1991, 1504,
1049, 651, 334, 116, 10, 21, 150, 388, 722, 1133,
1597, 2087, 2575, 3032, 3432, 3752, 3974, 4084, 4076, 3951,
3716, 3384, 2975, 2513, 2023, 1535, 1076, 674, 351, 126,
13, 17, 139, 371, 700, 1108, 1569, 2059, 2548, 3007,
3412, 3737, 3964, 4081, 4079, 3960, 3731, 3403, 2998, 2537,
2047, 1558, 1097, 691, 364, 134, 15, 14, 131, 359,
684, 1089, 1549, 2038, 2528, 2990, 3397, 3726, 3958, 4078,
4082, 3967, 3741, 3417, 3013, 2553, 2064, 1574, 1112, 703,
373, 140, 17, 13, 126, 351, 674, 1077, 1536, 2025,
2516, 2979, 3388, 3719, 3953, 4077, 4083, 3971, 3747, 3424,
3021, 2562, 2073, 1583, 1119, 710, 378, 143, 18, 12,
124, 347, 669, 1072, 1531, 2020, 2511, 2974, 3384, 3717,
3952, 4077, 4083, 3972, 3748, 3426, 3023, 2564, 2075, 1584,
1120, 710, 378, 143, 18, 12, 124, 348, 671, 1073,
1533, 2022, 2513, 2977, 3387, 3719, 3953, 4077, 4083, 3970,
3745, 3422, 3018, 2558, 2069, 1578, 1114, 705, 374, 140,
17, 13, 127, 353, 677, 1082, 1542, 2032, 2523, 2987,
3395, 3725, 3958, 4079, 4081, 3966, 3738, 3412, 3007, 2545,
2055, 1564, 1101, 694, 365, 134, 15, 15, 133, 362,
690, 1097, 1559, 2050, 2541, 3003, 3409, 3736, 3964, 4081,
4079, 3959, 3727, 3397, 2988, 2525, 2033, 1543, 1082, 677,
352, 126, 13, 18, 141, 376, 708, 1119, 1584, 2075,
2566, 3026, 3429, 3751, 3974, 4084, 4075, 3948, 3710, 3375,
2963, 2496, 2004, 1514, 1056, 655, 335, 116, 9, 22,
153, 394, 733, 1148, 1615, 2108, 2598, 3055, 3453, 3770,
3985, 4087, 4070, 3935, 3689, 3348, 2930, 2461, 1967, 1478,
1023, 627, 315, 104, 6, 28, 168, 418, 763, 1184,
1655, 2149, 2637, 3091, 3483, 3792, 3998, 4091, 4063, 3918,
3663, 3314, 2890, 2417, 1923, 1436, 984, 595, 291, 90,
3, 36, 187, 447, 801, 1227, 1702, 2197, 2683, 3132,
3518, 3817, 4013, 4093, 4054, 3897, 3631, 3273, 2843, 2366,
1871, 1386, 940, 558, 264, 75, 1, 47, 211, 482,
845, 1278, 1757, 2253, 2737, 3180, 3557, 3845, 4028, 4095,
4041, 3871, 3594, 3225, 2788, 2307, 1811, 1329, 889, 517,
235, 59, 0, 61, 239, 523, 896, 1337, 1820, 2316,
2796, 3233, 3600, 3875, 4044, 4095, 4025, 3840, 3549, 3170,
2726, 2241, 1745, 1266, 834, 473, 204, 44, 1, 79,
273, 570, 955, 1404, 1891, 2387, 2863, 3291, 3646, 3907,
4059, 4092, 4005, 3803, 3498, 3108, 2655, 2166, 1671, 1197,
774, 425, 172, 29, 5, 102, 312, 625, 1022, 1479,
1969, 2464, 2935, 3353, 3694, 3939, 4072, 4086, 3980, 3760,
3439, 3037, 2576, 2084, 1590, 1122, 710, 376, 140, 17,
13, 130, 359, 688, 1097, 1562, 2055, 2548, 3012, 3419,
3745, 3971, 4083, 4076, 3949, 3710, 3373, 2958, 2489, 1994,
1502, 1042, 642, 325, 109, 7, 26, 164, 413, 759,
1180, 1653, 2149, 2639, 3094, 3488, 3796, 4001, 4091, 4061,
3911, 3652, 3297, 2870, 2393, 1896, 1408, 958, 572, 273,
79, 1, 44, 206, 476, 839, 1273, 1753, 2250, 2736,
3181, 3559, 3847, 4030, 4095, 4039, 3866, 3585, 3213, 2772,
2289, 1791, 1309, 870, 500, 222, 52, 0, 69, 255,
547, 928, 1374, 1861, 2359, 2838, 3271, 3631, 3897, 4055,
4093, 4010, 3812, 3509, 3119, 2666, 2177, 1680, 1204, 779,
428, 173, 30, 5, 102, 314, 628, 1026, 1485, 1977,
2474, 2945, 3363, 3703, 3945, 4075, 4084, 3973, 3748, 3423,
3015, 2551, 2056, 1561, 1095, 686, 357, 128, 13, 18,
144, 382, 720, 1135, 1605, 2102, 2595, 3055, 3456, 3773,
3989, 4088, 4067, 3927, 3674, 3326, 2901, 2426, 1928, 1438,
983, 592, 287, 87, 2, 39, 196, 462, 822, 1255,
1735, 2233, 2721, 3168, 3549, 3841, 4027, 4095, 4041, 3869,
3589, 3218, 2777, 2292, 1793, 1309, 869, 499, 221, 52,
0, 71, 259, 553, 936, 1385, 1873, 2372, 2851, 3283,
3641, 3905, 4058, 4092, 4004, 3800, 3492, 3098, 2641, 2150,
1652, 1177, 755, 409, 160, 24, 8, 114, 334, 656,
1061, 1525, 2020, 2516, 2985, 3397, 3730, 3962, 4081, 4078,
3955, 3718, 3382, 2966, 2496, 1999, 1505, 1043, 641, 322,
107, 6, 28, 169, 423, 773, 1199, 1675, 2174, 2665,
3120, 3510, 3814, 4012, 4093, 4053, 3893, 3623, 3259, 2823,
2341, 1841, 1354, 908, 529, 242, 62, 0, 60, 239,
526, 903, 1348, 1836, 2335, 2818, 3255, 3620, 3891, 4052,
4093, 4013, 3815, 3512, 3122, 2667, 2176, 1677, 1200, 773,
423, 169, 28, 7, 107, 324, 644, 1047, 1510, 2005,
2502, 2973, 3388, 3723, 3959, 4080, 4080, 3958, 3722, 3387,
2971, 2500, 2003, 1507, 1044, 641, 322, 106, 6, 28,
171, 425, 777, 1204, 1682, 2182, 2674, 3128, 3518, 3819,
4015, 4094, 4050, 3886, 3613, 3245, 2807, 2323, 1822, 1335,
890, 515, 231, 56, 0, 67, 251, 544, 926, 1376,
1865, 2366, 2847, 3281, 3641, 3905, 4059, 4092, 4002, 3796,
3485, 3088, 2629, 2135, 1636, 1161, 739, 396, 151, 21,
11, 123, 351, 680, 1091, 1560, 2057, 2554, 3021, 3429,
3755, 3978, 4086, 4072, 3936, 3687, 3340, 2916, 2439, 1939,
1445, 988, 594, 287, 86, 2, 41, 200, 470, 834,
1272, 1755, 2257, 2745, 3192, 3571, 3857, 4036, 4095, 4031,
3849, 3558, 3177, 2728, 2238, 1736, 1254, 819, 457, 192,
37, 3, 92, 298, 609, 1007, 1467, 1962, 2462, 2937,
3359, 3702, 3945, 4075, 4083, 3969, 3740, 3408, 2995, 2526,
2027, 1530, 1063, 656, 332, 112, 8, 26, 166, 418,
769, 1197, 1675, 2176, 2670, 3126, 3517, 3820, 4016, 4094,
4049, 3883, 3608, 3238, 2797, 2311, 1809, 1321, 877, 503,
222, 51, 0, 73, 264, 562, 949, 1403, 1896, 2397,
2878, 3309, 3663, 3921, 4066, 4089, 3989, 3773, 3453, 3048,
2583, 2085, 1586, 1114, 698, 364, 131, 13, 18, 145,
387, 728, 1149, 1625, 2125, 2621, 3083, 3482, 3795, 4002,
4092, 4058, 3904, 3637, 3275, 2838, 2355, 1852, 1361, 912,
531, 242, 61, 0, 63, 245, 536, 918, 1368, 1859,
2362, 2845, 3281, 3642, 3907, 4060, 4091, 3999, 3790, 3475,
3074, 2611, 2115, 1614, 1139, 719, 379, 140, 16, 15,
136, 373, 711, 1129, 1603, 2104, 2601, 3065, 3468, 3785,
3996, 4091, 4061, 3911, 3647, 3287, 2853, 2369, 1866, 1374,
923, 539, 247, 64, 0, 60, 240, 530, 911, 1361,
1852, 2355, 2840, 3277, 3639, 3905, 4059, 4091, 4000, 3791,
3476, 3075, 2612, 2114, 1613, 1138, 717, 378, 139, 16,
15, 138, 376, 715, 1135, 1610, 2112, 2609, 3073, 3475,
3790, 4000, 4091, 4059, 3905, 3639, 3277, 2839, 2354, 1851,
1359, 909, 528, 239, 59, 0, 65, 250, 544, 928,
1381, 1874, 2378, 2861, 3296, 3654, 3916, 4064, 4090, 3992,
3776, 3456, 3050, 2584, 2084, 1583, 1110, 694, 359, 127,
12, 20, 151, 396, 742, 1168, 1646, 2149, 2646, 3106,
3502, 3810, 4011, 4093, 4051, 3887, 3612, 3242, 2799, 2311,
1806, 1317, 871, 497, 217, 48, 1, 78, 274, 578,
971, 1430, 1926, 2429, 2910, 3338, 3687, 3937, 4073, 4085,
3974, 3745, 3414, 2999, 2527, 2025, 1525, 1057, 649, 325,
107, 6, 30, 176, 435, 793, 1227, 1711, 2216, 2710,
3164, 3550, 3844, 4030, 4095, 4035, 3855, 3565, 3182, 2731,
2237, 1733, 1247, 810, 449, 184, 33, 5, 100, 315,
634, 1040, 1507, 2007, 2509, 2984, 3401, 3736, 3968, 4083,
4075, 3943, 3695, 3348, 2921, 2441, 1937, 1439, 979, 584,
278, 80, 1, 47, 215, 495, 869, 1315, 1806, 2311,
2800, 3244, 3614, 3890, 4052, 4093, 4009, 3806, 3495, 3096,
2633, 2135, 1631, 1152, 728, 385, 143, 17, 15, 136,
375, 715, 1137, 1614, 2118, 2617, 3082, 3483, 3797, 4004,
4092, 4056, 3896, 3624, 3256, 2814, 2325, 1819, 1327, 879,
503, 220, 50, 1, 77, 273, 578, 973, 1433, 1930,
2435, 2916, 3344, 3693, 3942, 4075, 4083, 3968, 3735, 3399,
2981, 2506, 2002, 1501, 1034, 629, 310, 97, 4, 35,
190, 458, 823, 1263, 1751, 2257, 2751, 3201, 3581, 3867,
4042, 4095, 4022, 3829, 3527, 3135, 2676, 2178, 1673, 1190,
760, 409, 158, 22, 10, 123, 354, 688, 1106, 1581,
2085, 2586, 3055, 3461, 3782, 3996, 4091, 4061, 3907, 3640,
3275, 2835, 2347, 1840, 1347, 896, 515, 229, 53, 0,
73, 266, 568, 962, 1421, 1919, 2425, 2908, 3338, 3689,
3939, 4074, 4084, 3970, 3737, 3401, 2983, 2506, 2002, 1501,
1033, 627, 308, 96, 4, 37, 193, 463, 830, 1272,
1761, 2268, 2762, 3211, 3590, 3873, 4045, 4094, 4018, 3820,
3514, 3118, 2656, 2157, 1651, 1169, 742, 394, 148, 18,
13, 133, 371, 711, 1133, 1612, 2117, 2618, 3084, 3487,
3801, 4007, 4093, 4053, 3890, 3614, 3242, 2796, 2304, 1797,
1305, 858, 485, 207, 43, 2, 86, 292, 605, 1006,
1472, 1973, 2479, 2958, 3381, 3722, 3961, 4081, 4077, 3948,
3702, 3354, 2926, 2443, 1937, 1437, 975, 579, 273, 76,
1, 51, 224, 510, 890, 1341, 1836, 2344, 2834, 3275,
3641, 3908, 4061, 4090, 3994, 3777, 3454, 3045, 2574, 2070,
1565, 1090, 674, 342, 116, 8, 26, 169, 427, 785,
1221, 1707, 2215, 2713, 3169, 3556, 3851, 4034, 4095, 4030,
3842, 3544, 3154, 2695, 2197, 1689, 1203, 770, 415, 161,
23, 10, 123, 354, 690, 1109, 1587, 2093, 2596, 3065,
3471, 3790, 4001, 4092, 4056, 3897, 3623, 3253, 2807, 2315,
1807, 1313, 864, 489, 210, 44, 2, 86, 291, 605,
1008, 1475, 1977, 2484, 2964, 3387, 3727, 3964, 4083, 4075,
3943, 3693, 3342, 2911, 2426, 1918, 1418, 957, 563, 261,
70, 0, 57, 237, 529, 915, 1371, 1869, 2377, 2866,
3303, 3664, 3924, 4068, 4087, 3980, 3754, 3422, 3005, 2529,
2023, 1519, 1047, 637, 314, 99, 4, 36, 192, 463,
832, 1276, 1768, 2277, 2772, 3222, 3600, 3882, 4049, 4094,
4011, 3807, 3494, 3091, 2624, 2121, 1613, 1133, 709, 368,
131, 12, 20, 153, 404, 756, 1189, 1675, 2183, 2684,
3145, 3538, 3838, 4028, 4095, 4035, 3852, 3557, 3169, 2711,
2211, 1702, 1214, 778, 421, 164, 24, 10, 121, 353,
689, 1110, 1589, 2096, 2601, 3071, 3477, 3795, 4005, 4093,
4054, 3890, 3613, 3238, 2789, 2295, 1785, 1291, 844, 472,
198, 38, 3, 95, 309, 630, 1039, 1511, 2016, 2523,
3001, 3419, 3753, 3980, 4087, 4068, 3923, 3662, 3300, 2861,
2371, 1860, 1362, 906, 521, 231, 54, 0, 74, 271,
578, 976, 1441, 1943, 2452, 2936, 3365, 3712, 3955, 4080,
4078, 3950, 3704, 3355, 2924, 2439, 1930, 1427, 964, 568,
263, 70, 0, 57, 238, 532, 920, 1378, 1878, 2388,
2877, 3315, 3673, 3931, 4071, 4085, 3973, 3740, 3403, 2980,
2500, 1992, 1487, 1017, 611, 294, 87, 2, 44, 211,
493, 871, 1322, 1819, 2330, 2824, 3269, 3638, 3908, 4062,
4090, 3991, 3771, 3444, 3030, 2554, 2047, 1540, 1064, 650,
323, 103, 5, 34, 188, 459, 828, 1274, 1768, 2279,
2776, 3227, 3605, 3886, 4052, 4093, 4006, 3797, 3479, 3072,
2601, 2095, 1586, 1106, 685, 348, 118, 8, 26, 170,
431, 792, 1233, 1724, 2235, 2735, 3191, 3577, 3867, 4043,
4094, 4018, 3819, 3509, 3108, 2640, 2136, 1626, 1142, 715,
371, 132, 12, 20, 155, 407, 763, 1198, 1687, 2198,
2700, 3161, 3552, 3850, 4034, 4095, 4027, 3836, 3533, 3137,
2673, 2170, 1659, 1172, 740, 390, 144, 16, 16, 143,
389, 739, 1170, 1657, 2168, 2671, 3136, 3532, 3836, 4027,
4095, 4034, 3850, 3552, 3160, 2699, 2196, 1685, 1196, 760,
405, 153, 20, 13, 134, 375, 720, 1149, 1634, 2145,
2650, 3117, 3517, 3825, 4022, 4095, 4039, 3859, 3566, 3177,
2717, 2216, 1704, 1213, 775, 416, 160, 22, 11, 128,
365, 707, 1134, 1618, 2129, 2634, 3103, 3506, 3817, 4018,
4094, 4043, 3866, 3575, 3188, 2730, 2229, 1716, 1224, 784,
423, 164, 24, 10, 124, 359, 700, 1125, 1609, 2120,
2626, 3096, 3500, 3813, 4016, 4094, 4044, 3869, 3579, 3193,
2735, 2234, 1721, 1229, 788, 426, 166, 24, 10, 123,
357, 698, 1123, 1607, 2118, 2625, 3095, 3500, 3813, 4016,
4094, 4044, 3869, 3579, 3192, 2734, 2233, 1719, 1227, 786,
424, 165, 24, 10, 124, 360, 701, 1127, 1611, 2123,
2630, 3100, 3504, 3816, 4017, 4094, 4043, 3865, 3574, 3186,
2726, 2224, 1711, 1219, 779, 419, 161, 22, 11, 128,
366, 710, 1138, 1623, 2135, 2642, 3111, 3513, 3823, 4021,
4095, 4039, 3859, 3564, 3173, 2712, 2208, 1695, 1204, 766,
408, 154, 20, 13, 134, 376, 724, 1155, 1642, 2155,
2661, 3128, 3527, 3833, 4026, 4095, 4034, 3848, 3549, 3155,
2690, 2186, 1672, 1183, 747, 394, 145, 17, 16, 143,
391, 743, 1178, 1667, 2181, 2686, 3151, 3546, 3846, 4033,
4095, 4027, 3835, 3529, 3130, 2662, 2156, 1643, 1155, 724,
376, 134, 13, 20, 155, 410, 769, 1208, 1700, 2214,
2718, 3179, 3569, 3863, 4042, 4094, 4018, 3817, 3504, 3099,
2627, 2119, 1606, 1122, 695, 354, 121, 9, 26, 171,
434, 800, 1245, 1740, 2255, 2756, 3213, 3596, 3882, 4051,
4093, 4006, 3795, 3473, 3061, 2585, 2075, 1563, 1082, 662,
330, 106, 5, 34, 190, 463, 837, 1288, 1787, 2302,
2801, 3253, 3628, 3903, 4060, 4090, 3991, 3768, 3437, 3017,
2536, 2024, 1514, 1037, 624, 302, 90, 2, 44, 213,
498, 881, 1339, 1841, 2356, 2852, 3297, 3663, 3926, 4070,
4086, 3972, 3737, 3394, 2966, 2480, 1966, 1457, 986, 582,
272, 73, 0, 57, 240, 538, 932, 1396, 1902, 2417,
2909, 3346, 3700, 3950, 4079, 4079, 3950, 3700, 3345, 2908,
2416, 1901, 1395, 931, 537, 239, 57, 0, 74, 273,
585, 990, 1461, 1971, 2485, 2971, 3399, 3740, 3975, 4086,
4069, 3922, 3657, 3289, 2842, 2345, 1829, 1327, 870, 489,
206, 41, 3, 95, 311, 638, 1055, 1534, 2046, 2559,
3038, 3455, 3782, 3999, 4092, 4055, 3890, 3607, 3226, 2769,
2267, 1750, 1253, 806, 438, 172, 26, 9, 121, 356,
699, 1127, 1614, 2129, 2639, 3110, 3515, 3825, 4023, 4095,
4036, 3851, 3551, 3155, 2688, 2181, 1665, 1174, 738, 385,
139, 14, 19, 153, 408, 767, 1208, 1702, 2219, 2724,
3187, 3576, 3869, 4045, 4094, 4012, 3805, 3486, 3076, 2599,
2088, 1574, 1090, 667, 332, 107, 5, 34, 191, 467,
843, 1296, 1798, 2315, 2815, 3266, 3640, 3912, 4064, 4088,
3982, 3753, 3414, 2988, 2502, 1988, 1476, 1002, 594, 279,
77, 0, 55, 237, 534, 928, 1394, 1901, 2418, 2911,
3349, 3703, 3953, 4080, 4077, 3945, 3692, 3333, 2892, 2398,
1880, 1374, 911, 520, 227, 50, 1, 83, 290, 610,
1022, 1499, 2012, 2526, 3010, 3433, 3767, 3991, 4090, 4059,
3900, 3622, 3243, 2787, 2285, 1767, 1267, 817, 446, 177,
28, 8, 119, 353, 696, 1125, 1613, 2129, 2640, 3113,
3518, 3828, 4025, 4095, 4034, 3845, 3542, 3143, 2673, 2164,
1647, 1156, 721, 372, 130, 11, 23, 164, 426, 791,
1238, 1736, 2254, 2759, 3218, 3603, 3887, 4054, 4092, 3999,
3781, 3452, 3033, 2550, 2036, 1522, 1041, 626, 301, 89,
2, 46, 219, 509, 897, 1360, 1866, 2385, 2881, 3324,
3686, 3942, 4076, 4081, 3954, 3706, 3351, 2912, 2418, 1900,
1392, 925, 531, 234, 53, 1, 80, 285, 603, 1014,
1492, 2005, 2521, 3007, 3431, 3766, 3990, 4090, 4059, 3899,
3619, 3239, 2782, 2278, 1759, 1258, 809, 438, 172, 26,
9, 124, 363, 709, 1142, 1633, 2151, 2662, 3133, 3535,
3841, 4032, 4095, 4026, 3831, 3520, 3115, 2641, 2129, 1612,
1122, 692, 350, 116, 7, 29, 181, 453, 828, 1281,
1784, 2303, 2806, 3260, 3636, 3910, 4064, 4088, 3981, 3749,
3408, 2979, 2490, 1973, 1460, 985, 579, 267, 70, 0,
62, 252, 558, 960, 1431, 1943, 2461, 2953, 3386, 3733,
3971, 4086, 4069, 3922, 3654, 3282, 2831, 2330, 1810, 1305,
849, 469, 192, 34, 5, 109, 338, 676, 1104, 1592,
2109, 2623, 3099, 3508, 3822, 4022, 4095, 4035, 3847, 3543,
3143, 2672, 2160, 1641, 1149, 714, 366, 126, 10, 25,
171, 439, 810, 1261, 1763, 2283, 2788, 3245, 3625, 3903,
4061, 4090, 3986, 3757, 3418, 2990, 2501, 1983, 1469, 993,
584, 270, 71, 0, 61, 250, 556, 958, 1430, 1942,
2461, 2954, 3387, 3735, 3973, 4086, 4068, 3919, 3649, 3276,
2823, 2320, 1799, 1295, 839, 461, 186, 31, 7, 114,
347, 690, 1121, 1611, 2130, 2644, 3118, 3524, 3834, 4029,
4095, 4029, 3834, 3524, 3118, 2643, 2130, 1611, 1120, 689,
347, 114, 7, 31, 187, 463, 841, 1298, 1803, 2324,
2827, 3280, 3653, 3922, 4069, 4086, 3970, 3730, 3381, 2945,
2451, 1931, 1419, 947, 547, 244, 58, 0, 76, 279,
597, 1009, 1488, 2004, 2522, 3010, 3435, 3771, 3994, 4091,
4056, 3890, 3605, 3219, 2757, 2249, 1727, 1227, 780, 415,
155, 19, 14, 142, 393, 751, 1193, 1691, 2212, 2723,
3189, 3582, 3875, 4049, 4093, 4005, 3789, 3460, 3040, 2555,
2037, 1520, 1037, 620, 295, 84, 1, 51, 230, 528,
924, 1393, 1905, 2426, 2923, 3362, 3716, 3962, 4083, 4072,
3930, 3665, 3295, 2843, 2340, 1818, 1311, 852, 470, 191,
33, 6, 111, 343, 685, 1116, 1607, 2128, 2642, 3119,
3525, 3836, 4030, 4095, 4027, 3830, 3517, 3109, 2631, 2115,
1595, 1105, 676, 336, 107, 5, 36, 197, 480, 864,
1325, 1834, 2356, 2858, 3308, 3675, 3937, 4075, 4081, 3955,
3705, 3346, 2903, 2405, 1883, 1371, 904, 511, 219, 45,
2, 92, 310, 641, 1064, 1551, 2070, 2587, 3070, 3486,
3808, 4015, 4094, 4040, 3856, 3553, 3153, 2680, 2167, 1645,
1150, 713, 363, 123, 9, 27, 178, 450, 827, 1283,
1789, 2312, 2818, 3274, 3649, 3920, 4069, 4086, 3969, 3728,
3376, 2938, 2442, 1920, 1406, 934, 535, 235, 53, 1,
83, 293, 618, 1036, 1520, 2039, 2558, 3044, 3465, 3793,
4007, 4094, 4046, 3868, 3571, 3174, 2704, 2191, 1668, 1170,
730, 375, 130, 11, 24, 170, 438, 812, 1267, 1772,
2296, 2803, 3261, 3640, 3914, 4066, 4087, 3974, 3735, 3385,
2948, 2452, 1930, 1415, 942, 541, 238, 54, 1, 81,
290, 614, 1032, 1516, 2035, 2555, 3042, 3464, 3793, 4007,
4094, 4046, 3867, 3570, 3172, 2701, 2187, 1664, 1166, 726,
372, 128, 10, 25, 173, 443, 819, 1275, 1782, 2306,
2813, 3270, 3647, 3919, 4069, 4086, 3969, 3726, 3374, 2934,
2436, 1913, 1399, 927, 528, 229, 50, 1, 87, 301,
630, 1052, 1539, 2059, 2579, 3064, 3482, 3806, 4015, 4094,
4040, 3854, 3550, 3148, 2673, 2157, 1634, 1138, 702, 354,
117, 7, 31, 187, 466, 848, 1309, 1819, 2343, 2848,
3301, 3671, 3935, 4075, 4081, 3954, 3702, 3341, 2895, 2393,
1869, 1356, 889, 498, 209, 40, 4, 101, 327, 666,
1095, 1588, 2110, 2628, 3109, 3519, 3833, 4029, 4095, 4026,
3828, 3512, 3100, 2619, 2100, 1577, 1086, 658, 321, 98,
3, 42, 214, 506, 900, 1369, 1882, 2407, 2908, 3352,
3711, 3960, 4083, 4072, 3928, 3660, 3286, 2830, 2323, 1798,
1289, 830, 451, 177, 27, 9, 126, 369, 723, 1164,
1663, 2188, 2703, 3175, 3573, 3871, 4048, 4093, 4004, 3786,
3453, 3027, 2537, 2015, 1495, 1011, 596, 276, 73, 0,
62, 255, 567, 975, 1455, 1974, 2497, 2991, 3423, 3764,
3992, 4091, 4056, 3888, 3599, 3208, 2740, 2226, 1700, 1198,
751, 390, 139, 13, 22, 164, 430, 804, 1259, 1767,
2293, 2803, 3263, 3642, 3917, 4068, 4086, 3969, 3725, 3371,
2929, 2429, 1903, 1387, 915, 518, 221, 46, 2, 94,
314, 650, 1077, 1569, 2092, 2613, 3096, 3509, 3827, 4026,
4095, 4028, 3831, 3516, 3103, 2621, 2101, 1577, 1085, 656,
319, 96, 3, 44, 218, 513, 910, 1382, 1898, 2424,
2924, 3367, 3723, 3968, 4085, 4068, 3918, 3643, 3263, 2802,
2292, 1765, 1257, 801, 428, 162, 21, 14, 141, 395,
758, 1207, 1711, 2238, 2752, 3219, 3609, 3895, 4059, 4090,
3985, 3753, 3407, 2971, 2474, 1949, 1430, 952, 547, 241,
55, 1, 82, 294, 622, 1045, 1534, 2057, 2579, 3066,
3486, 3810, 4018, 4095, 4036, 3845, 3535, 3127, 2646, 2127,
1601, 1106, 673, 331, 103, 4, 40, 210, 501, 896,
1366, 1882, 2409, 2912, 3357, 3716, 3964, 4084, 4070, 3921,
3648, 3269, 2808, 2297, 1770, 1261, 804, 430, 163, 21,
14, 142, 396, 760, 1210, 1715, 2243, 2757, 3224, 3613,
3899, 4061, 4089, 3982, 3746, 3397, 2959, 2460, 1934, 1415,
938, 535, 232, 51, 1, 88, 305, 638, 1065, 1557,
2081, 2604, 3089, 3505, 3824, 4026, 4095, 4028, 3830, 3513,
3098, 2614, 2092, 1567, 1074, 645, 310, 91, 2, 49,
228, 529, 931, 1408, 1927, 2454, 2953, 3393, 3743, 3980,
4089, 4061, 3900, 3615, 3226, 2758, 2243, 1715, 1209, 759,
395, 140, 13, 22, 165, 433, 810, 1268, 1779, 2307,
2819, 3278, 3656, 3927, 4072, 4083, 3957, 3705, 3342, 2893,
2387, 1859, 1343, 874, 484, 197, 34, 6, 113, 350,
699, 1139, 1639, 2166, 2686, 3163, 3565, 3867, 4047, 4093,
4003, 3783, 3447, 3017, 2523, 1997, 1474, 990, 576, 260,
64, 0, 73, 277, 600, 1019, 1507, 2031, 2557, 3048,
3472, 3801, 4014, 4094, 4039, 3850, 3541, 3132, 2650, 2129,
1602, 1104, 670, 328, 100, 3, 42, 216, 511, 910,
1384, 1903, 2431, 2934, 3378, 3732, 3974, 4087, 4064, 3906,
3624, 3236, 2769, 2254, 1724, 1217, 765, 398, 142, 14,
21, 164, 433, 810, 1270, 1782, 2311, 2823, 3283, 3661,
3930, 4074, 4082, 3953, 3698, 3331, 2879, 2371, 1842, 1326,
859, 471, 188, 31, 8, 121, 364, 720, 1164, 1668,
2197, 2716, 3190, 3588, 3882, 4054, 4091, 3992, 3762, 3417,
2981, 2482, 1953, 1432, 951, 544, 238, 52, 1, 87,
304, 638, 1067, 1561, 2088, 2612, 3099, 3515, 3832, 4030,
4095, 4023, 3818, 3494, 3074, 2584, 2059, 1533, 1041, 617,
289, 78, 0, 60, 252, 565, 978, 1462, 1986, 2514,
3010, 3442, 3780, 4002, 4093, 4047, 3866, 3563, 3159, 2679,
2158, 1629, 1128, 689, 341, 107, 4, 39, 208, 500,
897, 1371, 1890, 2420, 2925, 3371, 3728, 3972, 4087, 4065,
3907, 3624, 3235, 2767, 2250, 1719, 1211, 759, 393, 138,
12, 23, 170, 443, 824, 1287, 1802, 2333, 2844, 3303,
3676, 3941, 4078, 4078, 3942, 3678, 3305, 2847, 2335, 1804,
1289, 826, 444, 171, 23, 12, 138, 392, 758, 1211,
1720, 2251, 2768, 3237, 3626, 3908, 4065, 4087, 3971, 3725,
3367, 2920, 2414, 1883, 1363, 890, 494, 203, 36, 5,
112, 348, 700, 1142, 1645, 2175, 2697, 3175, 3577, 3876,
4051, 4092, 3995, 3766, 3422, 2985, 2485, 1955, 1432, 950,
542, 235, 51, 1, 90, 310, 648, 1080, 1577, 2106,
2631, 3117, 3530, 3844, 4036, 4095, 4015, 3802, 3471, 3044,
2550, 2021, 1495, 1006, 587, 266, 66, 0, 72, 277,
602, 1024, 1516, 2043, 2571, 3063, 3487, 3814, 4021, 4095,
4031, 3832, 3514, 3096, 2607, 2081, 1552, 1057, 628, 296,
82, 1, 58, 249, 562, 975, 1461, 1987, 2516, 3014,
3447, 3785, 4006, 4094, 4043, 3858, 3551, 3142, 2658, 2134,
1603, 1103, 667, 323, 97, 2, 46, 225, 528, 933,
1414, 1937, 2468, 2971, 3411, 3759, 3991, 4091, 4054, 3880,
3583, 3181, 2703, 2180, 1649, 1144, 701, 348, 111, 5,
37, 206, 499, 896, 1372, 1894, 2426, 2932, 3379, 3735,
3977, 4088, 4061, 3898, 3609, 3215, 2741, 2220, 1688, 1180,
730, 370, 124, 8, 30, 189, 474, 866, 1338, 1857,
2390, 2900, 3351, 3715, 3965, 4085, 4067, 3913, 3631, 3242,
2772, 2253, 1720, 1210, 756, 389, 135, 11, 25, 176,
455, 841, 1309, 1827, 2361, 2873, 3329, 3698, 3955, 4082,
4072, 3924, 3649, 3265, 2798, 2280, 1747, 1234, 776, 404,
145, 14, 21, 166, 439, 821, 1287, 1804, 2338, 2851,
3311, 3684, 3947, 4080, 4075, 3932, 3662, 3281, 2817, 2300,
1767, 1252, 791, 416, 152, 16, 19, 159, 428, 807,
1271, 1787, 2321, 2836, 3298, 3675, 3941, 4078, 4077, 3938,
3671, 3293, 2830, 2314, 1780, 1264, 802, 424, 156, 18,
17, 155, 421, 798, 1261, 1776, 2311, 2827, 3290, 3669,
3937, 4077, 4078, 3941, 3676, 3299, 2837, 2322, 1787, 1271,
807, 428, 159, 19, 17, 153, 418, 795, 1257, 1772,
2307, 2824, 3287, 3667, 3936, 4076, 4079, 3942, 3677, 3300,
2838, 2322, 1788, 1271, 807, 427, 159, 18, 17, 153,
419, 796, 1259, 1775, 2309, 2826, 3290, 3669, 3937, 4077,
4078, 3940, 3674, 3296, 2833, 2317, 1782, 1265, 802, 423,
156, 17, 18, 156, 424, 803, 1267, 1783, 2319, 2835,
3298, 3675, 3941, 4078, 4077, 3936, 3667, 3287, 2822, 2305,
1770, 1253, 791, 415, 151, 16, 20, 162, 433, 815,
1281, 1799, 2334, 2850, 3311, 3685, 3948, 4080, 4074, 3929,
3656, 3272, 2805, 2286, 1751, 1236, 776, 403, 143, 13,
22, 170, 446, 832, 1301, 1821, 2356, 2870, 3328, 3699,
3956, 4083, 4071, 3920, 3641, 3252, 2782, 2261, 1725, 1212,
756, 388, 134, 10, 27, 181, 464, 855, 1327, 1849,
2385, 2897, 3351, 3716, 3967, 4086, 4066, 3907, 3621, 3227,
2752, 2229, 1694, 1183, 731, 369, 122, 7, 32, 195,
486, 883, 1360, 1884, 2419, 2929, 3379, 3737, 3979, 4089,
4059, 3891, 3597, 3196, 2717, 2191, 1656, 1148, 701, 347,
109, 4, 40, 213, 512, 917, 1399, 1925, 2460, 2967,
3411, 3761, 3993, 4092, 4051, 3872, 3568, 3159, 2674, 2147,
1612, 1107, 667, 322, 95, 2, 50, 234, 544, 957,
1444, 1973, 2508, 3010, 3447, 3787, 4008, 4094, 4040, 3848,
3533, 3116, 2626, 2095, 1562, 1061, 629, 294, 79, 0,
62, 260, 581, 1003, 1496, 2028, 2561, 3058, 3487, 3816,
4023, 4095, 4026, 3821, 3494, 3067, 2570, 2037, 1505, 1011,
587, 264, 64, 0, 77, 290, 624, 1055, 1555, 2089,
2620, 3112, 3530, 3846, 4039, 4094, 4009, 3788, 3448, 3011,
2508, 1973, 1443, 955, 542, 233, 49, 2, 96, 325,
672, 1114, 1621, 2157, 2685, 3169, 3576, 3878, 4054, 4091,
3988, 3750, 3396, 2948, 2439, 1902, 1376, 895, 495, 201,
34, 7, 120, 366, 728, 1181, 1693, 2231, 2755, 3231,
3625, 3911, 4067, 4085, 3962, 3707, 3337, 2879, 2363, 1825,
1303, 832, 445, 168, 21, 14, 148, 412, 790, 1254,
1773, 2311, 2830, 3296, 3676, 3943, 4079, 4075, 3931, 3657,
3272, 2802, 2280, 1742, 1225, 765, 393, 136, 11, 26,
181, 465, 859, 1334, 1859, 2397, 2911, 3365, 3728, 3975,
4088, 4061, 3894, 3600, 3199, 2718, 2190, 1653, 1143, 695,
341, 105, 3, 43, 221, 526, 936, 1422, 1952, 2489,
2995, 3435, 3780, 4005, 4094, 4041, 3851, 3536, 3118, 2626,
2094, 1558, 1057, 624, 289, 76, 0, 66, 268, 594,
1020, 1518, 2052, 2586, 3083, 3508, 3832, 4032, 4095, 4016,
3801, 3464, 3029, 2526, 1990, 1458, 967, 551, 238, 51,
2, 94, 323, 670, 1113, 1621, 2159, 2688, 3174, 3581,
3882, 4056, 4090, 3983, 3742, 3383, 2932, 2419, 1881, 1354,
875, 478, 189, 29, 9, 131, 385, 755, 1215, 1732,
2271, 2795, 3267, 3654, 3930, 4075, 4079, 3943, 3675, 3294,
2826, 2305, 1765, 1245, 781, 405, 143, 13, 24, 176,
457, 849, 1325, 1850, 2390, 2905, 3361, 3726, 3974, 4088,
4061, 3894, 3598, 3195, 2712, 2183, 1644, 1134, 687, 334,
101, 3, 47, 230, 539, 953, 1444, 1976, 2513, 3018,
3456, 3795, 4013, 4095, 4034, 3835, 3511, 3086, 2589, 2054,
1518, 1020, 592, 266, 64, 0, 78, 294, 631, 1067,
1571, 2108, 2641, 3133, 3549, 3861, 4046, 4093, 3997, 3765,
3414, 2968, 2457, 1918, 1388, 904, 500, 203, 35, 7,
121, 369, 734, 1190, 1707, 2247, 2773, 3248, 3640, 3922,
4072, 4082, 3949, 3685, 3306, 2839, 2318, 1777, 1255, 789,
410, 145, 13, 23, 174, 455, 848, 1324, 1850, 2391,
2907, 3363, 3728, 3976, 4089, 4059, 3890, 3592, 3186, 2701,
2170, 1631, 1120, 675, 325, 95, 2, 51, 240, 554,
973, 1467, 2002, 2539, 3043, 3476, 3811, 4022, 4095, 4025,
3818, 3486, 3055, 2553, 2015, 1480, 985, 563, 246, 54,
1, 92, 319, 666, 1110, 1620, 2160, 2691, 3178, 3586,
3886, 4058, 4089, 3978, 3732, 3368, 2912, 2395, 1854, 1327,
850, 456, 174, 23, 13, 146, 412, 791, 1259, 1782,
2323, 2846, 3312, 3690, 3953, 4083, 4070, 3916, 3631, 3236,
2757, 2229, 1688, 1172, 717, 356, 113, 5, 40, 215,
519, 930, 1419, 1952, 2492, 3000, 3442, 3787, 4009, 4094,
4036, 3839, 3516, 3090, 2592, 2055, 1518, 1017, 589, 263,
62, 0, 82, 301, 642, 1082, 1590, 2130, 2663, 3154,
3567, 3874, 4053, 4091, 3986, 3745, 3385, 2932, 2416, 1875,
1345, 865, 468, 181, 26, 12, 141, 403, 781, 1248,
1770, 2313, 2836, 3305, 3685, 3950, 4082, 4071, 3918, 3634,
3239, 2760, 2231, 1689, 1172, 717, 355, 112, 5, 41,
217, 523, 935, 1426, 1960, 2500, 3009, 3450, 3792, 4012,
4095, 4033, 3832, 3506, 3077, 2576, 2038, 1500, 1001, 576,
253, 57, 1, 88, 313, 660, 1105, 1615, 2156, 2690,
3178, 3587, 3888, 4059, 4089, 3975, 3726, 3359, 2900, 2381,
1838, 1310, 834, 443, 165, 20, 17, 156, 429, 816,
1289, 1816, 2358, 2880, 3342, 3714, 3968, 4087, 4063, 3897,
3600, 3195, 2709, 2176, 1634, 1121, 674, 323, 93, 1,
53, 246, 565, 989, 1487, 2024, 2564, 3067, 3498, 3827,
4031, 4095, 4015, 3796, 3454, 3013, 2504, 1963, 1428, 937,
523, 217, 40, 5, 113, 358, 721, 1179, 1697, 2240,
2770, 3248, 3642, 3924, 4073, 4080, 3943, 3673, 3288, 2815,
2289, 1745, 1223, 759, 385, 129, 8, 31, 197, 492,
898, 1384, 1918, 2460, 2974, 3422, 3773, 4002, 4094, 4041,
3847, 3527, 3102, 2602, 2064, 1524, 1021, 591, 264, 62,
0, 83, 305, 650, 1093, 1604, 2146, 2681, 3172, 3583,
3885, 4058, 4089, 3976, 3726, 3358, 2897, 2376, 1832, 1304,
827, 437, 161, 18, 18, 162, 439, 830, 1307, 1836,
2380, 2901, 3361, 3728, 3977, 4089, 4057, 3883, 3579, 3167,
2675, 2139, 1597, 1087, 644, 301, 81, 0, 64, 269,
599, 1032, 1536, 2077, 2616, 3114, 3537, 3855, 4045, 4093,
3997, 3762, 3407, 2955, 2439, 1895, 1362, 877, 476, 185,
27, 11, 140, 404, 784, 1253, 1779, 2324, 2850, 3318,
3697, 3958, 4085, 4067, 3906, 3613, 3210, 2724, 2190, 1646,
1131, 680, 326, 95, 2, 53, 246, 567, 993, 1493,
2033, 2574, 3077, 3508, 3835, 4035, 4094, 4009, 3784, 3436,
2989, 2476, 1933, 1397, 908, 499, 200, 33, 8, 128,
384, 758, 1224, 1748, 2293, 2821, 3294, 3679, 3948, 4082,
4071, 3917, 3631, 3231, 2748, 2215, 1671, 1153, 698, 339,
102, 2, 48, 236, 553, 975, 1474, 2014, 2556, 3062,
3495, 3826, 4031, 4095, 4013, 3792, 3446, 3002, 2489, 1945,
1409, 917, 507, 205, 35, 7, 125, 379, 752, 1217,
1741, 2287, 2816, 3290, 3676, 3946, 4081, 4072, 3918, 3632,
3233, 2749, 2216, 1671, 1152, 697, 338, 101, 2, 49,
238, 556, 979, 1479, 2020, 2562, 3067, 3501, 3830, 4033,
4095, 4010, 3786, 3439, 2992, 2478, 1933, 1397, 906, 497,
199, 32, 8, 130, 389, 765, 1233, 1759, 2305, 2833,
3305, 3688, 3954, 4083, 4068, 3909, 3617, 3214, 2727, 2192,
1646, 1129, 678, 324, 93, 1, 55, 252, 576, 1005,
1508, 2050, 2592, 3095, 3523, 3846, 4041, 4094, 4000, 3768,
3412, 2960, 2442, 1896, 1361, 875, 472, 182, 25, 13,
145, 413, 798, 1272, 1801, 2348, 2874, 3340, 3715, 3970,
4088, 4060, 3889, 3586, 3174, 2680, 2142, 1597, 1084, 640,
297, 78, 0, 68, 278, 614, 1052, 1562, 2106, 2646,
3144, 3562, 3873, 4054, 4090, 3981, 3734, 3366, 2904, 2381,
1834, 1302, 824, 432, 157, 16, 21, 170, 454, 852,
1335, 1869, 2416, 2937, 3394, 3754, 3993, 4093, 4046, 3856,
3537, 3111, 2610, 2068, 1524, 1018, 586, 258, 58, 1,
90, 319, 672, 1123, 1640, 2187, 2724, 3212, 3617, 3909,
4069, 4083, 3952, 3685, 3300, 2825, 2295, 1747, 1221, 754,
379, 124, 7, 36, 209, 513, 928, 1423, 1962, 2508,
3021, 3464, 3805, 4021, 4095, 4023, 3808, 3468, 3026, 2514,
1968, 1428, 933, 517, 211, 37, 6, 123, 377, 751,
1218, 1744, 2292, 2823, 3298, 3684, 3952, 4083, 4069, 3909,
3616, 3211, 2721, 2184, 1637, 1119, 668, 316, 88, 1,
60, 262, 593, 1027, 1535, 2080, 2623, 3124, 3548, 3864,
4050, 4092, 3987, 3743, 3377, 2916, 2393, 1844, 1310, 830,
436, 159, 17, 20, 170, 454, 853, 1338, 1874, 2422,
2943, 3400, 3760, 3996, 4093, 4043, 3849, 3526, 3096, 2591,
2047, 1503, 999, 569, 246, 52, 2, 99, 336, 696,
1153, 1675, 2223, 2759, 3244, 3642, 3926, 4075, 4078, 3935,
3656, 3261, 2780, 2245, 1696, 1173, 712, 347, 105, 3,
48, 236, 555, 982, 1485, 2029, 2574, 3081, 3514, 3841,
4039, 4094, 4001, 3768, 3411, 2955, 2435, 1886, 1349, 862,
461, 174, 22, 16, 156, 432, 825, 1306, 1840, 2390,
2914, 3377, 3743, 3987, 4092, 4049, 3862, 3544, 3118, 2615,
2071, 1526, 1018, 584, 256, 57, 1, 93, 326, 683,
1139, 1660, 2209, 2746, 3233, 3635, 3922, 4074, 4079, 3938,
3661, 3267, 2785, 2250, 1701, 1176, 714, 349, 106, 3,
48, 237, 557, 984, 1488, 2033, 2578, 3086, 3518, 3844,
4041, 4093, 3998, 3762, 3402, 2945, 2422, 1872, 1335, 850,
451, 167, 19, 18, 163, 445, 842, 1326, 1863, 2412,
2936, 3395, 3757, 3996, 4093, 4043, 3848, 3524, 3092, 2585,
2039, 1494, 989, 560, 239, 49, 3, 105, 347, 713,
1175, 1700, 2250, 2786, 3268, 3662, 3939, 4080, 4073, 3920,
3631, 3228, 2739, 2201, 1651, 1130, 675, 320, 89, 1,
60, 264, 596, 1034, 1545, 2092, 2636, 3138, 3561, 3874,
4054, 4090, 3978, 3725, 3352, 2884, 2355, 1804, 1270, 793,
407, 140, 11, 29, 194, 493, 904, 1399, 1940, 2489,
3007, 3455, 3800, 4019, 4095, 4022, 3807, 3464, 3018, 2501,
1952, 1410, 914, 500, 198, 31, 9, 136, 401, 785,
1262, 1795, 2346, 2876, 3345, 3721, 3975, 4089, 4056, 3876,
3564, 3142, 2640, 2095, 1547, 1035, 597, 264, 60, 1,
90, 321, 678, 1134, 1656, 2207, 2746, 3235, 3637, 3924,
4075, 4078, 3934, 3653, 3255, 2770, 2232, 1681, 1156, 696,
334, 97, 2, 55, 252, 581, 1016, 1525, 2073, 2619,
3124, 3550, 3867, 4052, 4091, 3981, 3731, 3359, 2891, 2362,
1810, 1275, 797, 409, 141, 11, 29, 194, 494, 907,
1403, 1945, 2496, 3013, 3461, 3805, 4022, 4095, 4019, 3800,
3453, 3004, 2485, 1934, 1392, 897, 486, 189, 27, 12,
145, 417, 807, 1288, 1824, 2376, 2905, 3371, 3740, 3987,
4092, 4048, 3859, 3537, 3108, 2600, 2053, 1505, 997, 565,
242, 49, 3, 105, 349, 717, 1181, 1709, 2262, 2798,
3281, 3673, 3947, 4082, 4069, 3909, 3613, 3203, 2708, 2166,
1615, 1095, 645, 297, 77, 0, 73, 290, 635, 1083,
1601, 2152, 2696, 3192, 3604, 3904, 4067, 4084, 3951, 3680,
3290, 2809, 2272, 1719, 1190, 724, 354, 108, 3, 48,
238, 561, 992, 1500, 2049, 2597, 3105, 3536, 3858, 4048,
4092, 3986, 3739, 3369, 2902, 2372, 1819, 1282, 802, 412,
142, 11, 29, 194, 495, 909, 1407, 1951, 2502, 3020,
3467, 3811, 4025, 4095, 4015, 3791, 3440, 2987, 2465, 1913,
1371, 878, 470, 178, 23, 15, 157, 436, 834, 1320,
1859, 2413, 2939, 3401, 3763, 4000, 4094, 4038, 3837, 3504,
3065, 2552, 2002, 1455, 951, 528, 216, 37, 7, 125,
384, 765, 1240, 1774, 2328, 2862, 3336, 3715, 3973, 4089,
4056, 3876, 3562, 3137, 2632, 2084, 1534, 1021, 584, 253,
55, 2, 99, 339, 704, 1167, 1695, 2249, 2788, 3273,
3668, 3945, 4082, 4070, 3909, 3613, 3201, 2705, 2161, 1608,
1088, 638, 291, 73, 0, 77, 299, 649, 1101, 1623,
2176, 2720, 3214, 3623, 3916, 4072, 4080, 3938, 3658, 3259,
2772, 2231, 1677, 1150, 689, 328, 93, 1, 59, 264,
599, 1041, 1557, 2109, 2656, 3158, 3579, 3888, 4061, 4087,
3962, 3697, 3311, 2832, 2296, 1741, 1208, 738, 363, 112,
4, 45, 234, 556, 988, 1497, 2047, 2597, 3107, 3538,
3861, 4049, 4091, 3983, 3732, 3357, 2886, 2354, 1799, 1262,
783, 397, 132, 8, 34, 209, 518, 940, 1444, 1992,
2544, 3059, 3500, 3835, 4037, 4094, 4000, 3762, 3398, 2934,
2406, 1851, 1310, 824, 428, 151, 13, 26, 187, 485,
898, 1396, 1942, 2496, 3016, 3466, 3810, 4026, 4095, 4013,
3787, 3433, 2976, 2452, 1897, 1353, 861, 456, 168, 19,
19, 169, 457, 862, 1355, 1899, 2453, 2978, 3434, 3788,
4014, 4095, 4025, 3809, 3463, 3013, 2491, 1937, 1391, 894,
481, 184, 25, 14, 154, 433, 831, 1319, 1861, 2417,
2945, 3407, 3769, 4004, 4094, 4034, 3827, 3488, 3043, 2525,
1972, 1424, 922, 503, 198, 30, 11, 142, 413, 806,
1290, 1830, 2386, 2917, 3384, 3752, 3995, 4093, 4041, 3841,
3509, 3069, 2553, 2000, 1451, 945, 521, 210, 35, 8,
132, 398, 785, 1266, 1804, 2361, 2894, 3365, 3739, 3987,
4092, 4046, 3852, 3525, 3088, 2575, 2023, 1472, 964, 536,
220, 39, 6, 125, 386, 769, 1247, 1785, 2342, 2877,
3351, 3728, 3981, 4091, 4050, 3860, 3537, 3103, 2591, 2039,
1487, 977, 546, 227, 42, 5, 120, 377, 758, 1235,
1771, 2329, 2865, 3341, 3721, 3977, 4090, 4052, 3866, 3545,
3112, 2601, 2049, 1497, 986, 553, 231, 44, 5, 117,
372, 752, 1228, 1764, 2321, 2858, 3335, 3717, 3975, 4090,
4053, 3868, 3548, 3117, 2606, 2054, 1501, 989, 556, 233,
44, 4, 116, 371, 750, 1226, 1762, 2320, 2857, 3335,
3717, 3975, 4090, 4053, 3868, 3548, 3116, 2605, 2052, 1500,
988, 554, 231, 44, 5, 117, 373, 753, 1230, 1767,
2325, 2862, 3339, 3720, 3977, 4090, 4052, 3865, 3543, 3110,
2598, 2045, 1492, 981, 548, 228, 42, 5, 120, 379,
761, 1239, 1777, 2335, 2872, 3347, 3726, 3981, 4091, 4050,
3859, 3534, 3099, 2585, 2031, 1479, 969, 539, 221, 39,
6, 125, 388, 773, 1254, 1793, 2351, 2887, 3361, 3736,
3986, 4092, 4046, 3851, 3521, 3083, 2567, 2012, 1460, 952,
525, 212, 35, 8, 133, 400, 790, 1274, 1815, 2374,
2908, 3378, 3749, 3994, 4093, 4040, 3839, 3504, 3061, 2542,
1987, 1435, 930, 508, 200, 30, 11, 143, 417, 812,
1300, 1843, 2402, 2934, 3400, 3766, 4003, 4094, 4033, 3824,
3483, 3034, 2512, 1955, 1405, 903, 487, 186, 25, 14,
155, 437, 840, 1332, 1878, 2436, 2965, 3426, 3784, 4013,
4095, 4024, 3806, 3456, 3001, 2476, 1918, 1370, 872, 462,
171, 19, 19, 171, 462, 872, 1369, 1918, 2476, 3002,
3456, 3806, 4024, 4095, 4013, 3784, 3425, 2963, 2433, 1874,
1329, 836, 435, 153, 14, 26, 189, 491, 910, 1413,
1964, 2521, 3043, 3490, 3830, 4036, 4094, 3999, 3757, 3389,
2919, 2385, 1825, 1282, 796, 404, 135, 8, 34, 211,
525, 953, 1463, 2016, 2572, 3089, 3527, 3855, 4048, 4091,
3981, 3727, 3347, 2869, 2330, 1770, 1231, 753, 371, 115,
4, 46, 237, 564, 1002, 1519, 2074, 2628, 3139, 3568,
3882, 4060, 4087, 3961, 3692, 3299, 2813, 2270, 1710, 1175,
705, 336, 96, 1, 60, 268, 609, 1058, 1581, 2139,
2690, 3193, 3610, 3911, 4071, 4080, 3936, 3651, 3246, 2751,
2203, 1643, 1114, 655, 300, 76, 0, 78, 303, 659,
1119, 1649, 2209, 2756, 3251, 3655, 3939, 4081, 4070, 3907,
3605, 3186, 2682, 2130, 1572, 1049, 602, 262, 57, 1,
99, 343, 715, 1187, 1724, 2285, 2828, 3312, 3702, 3967,
4088, 4056, 3873, 3553, 3120, 2607, 2051, 1495, 980, 546,
225, 40, 6, 126, 390, 778, 1262, 1805, 2366, 2903,
3376, 3749, 3995, 4093, 4038, 3834, 3495, 3047, 2525, 1966,
1413, 908, 489, 187, 25, 15, 157, 442, 848, 1344,
1892, 2453, 2983, 3443, 3797, 4020, 4095, 4016, 3788, 3430,
2967, 2436, 1875, 1327, 833, 431, 150, 12, 28, 195,
502, 925, 1432, 1986, 2545, 3066, 3510, 3845, 4044, 4092,
3987, 3736, 3357, 2880, 2340, 1778, 1237, 756, 373, 116,
4, 46, 239, 568, 1009, 1528, 2086, 2641, 3152, 3579,
3891, 4064, 4085, 3952, 3676, 3277, 2786, 2238, 1677, 1143,
678, 315, 84, 0, 71, 291, 643, 1101, 1631, 2192,
2742, 3240, 3648, 3935, 4080, 4071, 3910, 3608, 3189, 2683,
2130, 1570, 1046, 598, 259, 55, 2, 103, 350, 726,
1201, 1741, 2303, 2846, 3329, 3716, 3976, 4090, 4051, 3860,
3532, 3092, 2574, 2015, 1459, 947, 519, 206, 32, 10,
142, 418, 818, 1310, 1858, 2420, 2954, 3420, 3782, 4012,
4095, 4023, 3801, 3447, 2987, 2456, 1894, 1344, 847, 441,
156, 14, 26, 191, 496, 918, 1426, 1981, 2541, 3063,
3509, 3845, 4044, 4092, 3986, 3733, 3353, 2873, 2332, 1768,
1226, 746, 365, 111, 3, 50, 248, 583, 1028, 1550,
2110, 2666, 3174, 3598, 3903, 4069, 4081, 3940, 3655, 3248,
2751, 2200, 1638, 1106, 646, 292, 71, 0, 84, 316,
680, 1147, 1683, 2246, 2794, 3285, 3683, 3957, 4086, 4061,
3883, 3566, 3134, 2619, 2062, 1503, 985, 548, 225, 39,
6, 128, 395, 788, 1276, 1822, 2386, 2924, 3396, 3765,
4004, 4094, 4030, 3815, 3466, 3009, 2480, 1917, 1365, 864,
453, 163, 16, 23, 184, 486, 907, 1414, 1969, 2531,
3055, 3503, 3841, 4042, 4093, 3987, 3735, 3354, 2874, 2332,
1768, 1225, 744, 363, 109, 3, 52, 252, 589, 1037,
1561, 2123, 2678, 3186, 3607, 3910, 4072, 4079, 3932, 3642,
3231, 2730, 2176, 1614, 1084, 627, 278, 64, 1, 93,
334, 705, 1178, 1717, 2281, 2828, 3315, 3706, 3971, 4090,
4053, 3863, 3536, 3095, 2575, 2014, 1456, 943, 514, 202,
30, 11, 148, 429, 833, 1330, 1881, 2445, 2978, 3441,
3798, 4022, 4095, 4012, 3780, 3416, 2948, 2411, 1847, 1297,
805, 408, 135, 8, 36, 218, 539, 974, 1492, 2052,
2611, 3128, 3562, 3881, 4060, 4086, 3957, 3682, 3283, 2789,
2239, 1674, 1138, 671, 309, 80, 0, 77, 303, 663,
1128, 1664, 2228, 2779, 3274, 3676, 3953, 4085, 4062, 3885,
3568, 3135, 2619, 2059, 1499, 980, 543, 220, 37, 8,
133, 405, 803, 1295, 1844, 2410, 2947, 3416, 3781, 4013,
4095, 4021, 3796, 3438, 2974, 2439, 1874, 1322, 826, 423,
144, 10, 32, 208, 524, 957, 1473, 2033, 2594, 3113,
3551, 3874, 4058, 4087, 3962, 3689, 3292, 2799, 2249, 1684,
1146, 677, 313, 81, 0, 75, 301, 661, 1126, 1662,
2227, 2779, 3275, 3677, 3954, 4086, 4061, 3883, 3565, 3130,
2613, 2052, 1491, 972, 536, 216, 35, 9, 138, 414,
814, 1309, 1860, 2426, 2963, 3430, 3791, 4018, 4095, 4015,
3785, 3421, 2953, 2415, 1849, 1298, 804, 406, 134, 7,
38, 222, 545, 984, 1505, 2066, 2627, 3143, 3575, 3890,
4064, 4084, 3947, 3665, 3259, 2761, 2207, 1641, 1107, 644,
289, 69, 0, 89, 327, 697, 1171, 1712, 2278, 2827,
3317, 3709, 3973, 4090, 4051, 3857, 3525, 3080, 2556, 1992,
1433, 921, 495, 188, 24, 16, 163, 454, 868, 1372,
1928, 2494, 3025, 3481, 3827, 4037, 4093, 3993, 3744, 3364,
2884, 2339, 1772, 1226, 743, 360, 106, 2, 55, 261,
604, 1057, 1587, 2152, 2710, 3216, 3632, 3927, 4078, 4072,
3911, 3607, 3183, 2672, 2113, 1549, 1023, 575, 241, 46,
4, 120, 383, 775, 1264, 1814, 2381, 2923, 3397, 3768,
4007, 4095, 4025, 3804, 3447, 2983, 2447, 1880, 1326, 828,
423, 143, 10, 33, 211, 531, 967, 1486, 2049, 2611,
3130, 3566, 3885, 4062, 4085, 3951, 3670, 3264, 2765, 2211,
1644, 1108, 644, 288, 68, 0, 90, 331, 703, 1179,
1722, 2290, 2840, 3328, 3718, 3979, 4091, 4046, 3847, 3510,
3060, 2532, 1966, 1407, 897, 476, 176, 20, 20, 176,
477, 899, 1409, 1968, 2534, 3062, 3512, 3849, 4047, 4091,
3978, 3715, 3325, 2835, 2285, 1717, 1174, 698, 327, 88,
0, 70, 293, 651, 1116, 1654, 2222, 2776, 3274, 3678,
3956, 4086, 4060, 3878, 3555, 3115, 2593, 2029, 1467, 949,
516, 201, 29, 12, 153, 440, 851, 1354, 1911, 2478,
3012, 3472, 3822, 4034, 4094, 3995, 3746, 3366, 2884, 2337,
1768, 1220, 737, 355, 103, 2, 58, 269, 616, 1075,
1608, 2176, 2733, 3238, 3651, 3939, 4082, 4067, 3896, 3583,
3150, 2633, 2070, 1505, 982, 542, 218, 36, 9, 139,
418, 822, 1321, 1876, 2445, 2982, 3448, 3805, 4026, 4095,
4004, 3763, 3389, 2911, 2366, 1796, 1246, 758, 370, 111,
3, 52, 256, 599, 1054, 1585, 2153, 2712, 3220, 3637,
3931, 4079, 4070, 3905, 3595, 3166, 2650, 2087, 1521, 997,
553, 225, 38, 7, 134, 410, 812, 1309, 1864, 2434,
2973, 3440, 3800, 4024, 4095, 4007, 3767, 3394, 2917, 2372,
1802, 1251, 762, 372, 113, 3, 52, 255, 598, 1053,
1585, 2153, 2713, 3221, 3638, 3932, 4080, 4070, 3903, 3592,
3162, 2645, 2082, 1516, 991, 548, 222, 37, 8, 138,
415, 820, 1319, 1875, 2445, 2984, 3450, 3807, 4028, 4094,
4003, 3759, 3382, 2902, 2355, 1785, 1235, 748, 362, 106,
2, 56, 266, 613, 1072, 1607, 2176, 2735, 3240, 3653,
3942, 4083, 4066, 3892, 3575, 3139, 2618, 2053, 1488, 966,
528, 208, 31, 11, 149, 435, 846, 1351, 1909, 2479,
3015, 3475, 3825, 4037, 4093, 3991, 3738, 3353, 2866, 2316,
1745, 1198, 716, 338, 93, 1, 67, 287, 645, 1111,
1651, 2221, 2778, 3278, 3682, 3959, 4087, 4057, 3870, 3541,
3096, 2569, 2002, 1438, 922, 493, 185, 23, 18, 171,
470, 892, 1404, 1966, 2535, 3065, 3517, 3854, 4050, 4090,
3971, 3702, 3305, 2809, 2254, 1683, 1140, 668, 304, 75,
0, 85, 322, 695, 1172, 1718, 2290, 2842, 3333, 3723,
3983, 4092, 4042, 3836, 3490, 3032, 2498, 1928, 1367, 860,
445, 155, 13, 29, 203, 521, 958, 1480, 2046, 2613,
3135, 3572, 3891, 4065, 4083, 3941, 3652, 3237, 2729, 2169,
1599, 1063, 605, 259, 53, 3, 112, 372, 763, 1255,
1808, 2380, 2926, 3404, 3775, 4012, 4095, 4018, 3787, 3421,
2947, 2403, 1831, 1276, 781, 385, 119, 4, 48, 249,
590, 1045, 1579, 2149, 2711, 3221, 3640, 3934, 4081, 4068,
3898, 3583, 3148, 2627, 2060, 1493, 969, 529, 208, 31,
12, 151, 439, 853, 1361, 1922, 2493, 3029, 3488, 3835,
4041, 4092, 3983, 3722, 3331, 2838, 2284, 1712, 1165, 688,
317, 82, 0, 79, 311, 680, 1156, 1702, 2274, 2829,
3323, 3717, 3980, 4092, 4044, 3839, 3494, 3036, 2500, 1929,
1367, 859, 443, 154, 12, 30, 206, 527, 966, 1491,
2059, 2626, 3148, 3583, 3898, 4069, 4080, 3933, 3637, 3217,
2706, 2142, 1572, 1038, 584, 244, 46, 5, 124, 394,
793, 1291, 1848, 2421, 2965, 3436, 3799, 4024, 4095, 4004,
3760, 3382, 2899, 2349, 1776, 1223, 736, 351, 100, 1,
63, 281, 637, 1104, 1646, 2218, 2778, 3280, 3685, 3962,
4088, 4054, 3863, 3529, 3079, 2547, 1977, 1412, 897, 472,
171, 17, 23, 188, 499, 932, 1452, 2019, 2588, 3115,
3558, 3882, 4062, 4084, 3946, 3658, 3244, 2736, 2173, 1601,
1064, 604, 258, 52, 3, 115, 379, 774, 1269, 1826,
2400, 2946, 3421, 3789, 4019, 4095, 4009, 3769, 3394, 2913,
2363, 1789, 1235, 745, 358, 103, 1, 61, 277, 632,
1098, 1640, 2213, 2773, 3277, 3683, 3961, 4088, 4055, 3863,
3529, 3078, 2545, 1974, 1408, 893, 469, 169, 17, 24,
192, 505, 940, 1462, 2030, 2600, 3126, 3567, 3889, 4065,
4082, 3940, 3647, 3229, 2718, 2154, 1581, 1045, 589, 247,
47, 5, 123, 394, 795, 1294, 1853, 2428, 2972, 3444,
3805, 4028, 4094, 4000, 3751, 3368, 2880, 2327, 1752, 1201,
716, 336, 91, 0, 71, 298, 663, 1137, 1683, 2258,
2816, 3314, 3711, 3978, 4092, 4044, 3839, 3493, 3032, 2494,
1920, 1357, 848, 434, 147, 10, 34, 217, 545, 991,
1521, 2093, 2660, 3180, 3610, 3916, 4075, 4074, 3913, 3604,
3172, 2652, 2083, 1512, 983, 539, 213, 32, 11, 151,
440, 857, 1368, 1932, 2506, 3043, 3502, 3846, 4047, 4091,
3973, 3702, 3301, 2801, 2241, 1666, 1121, 649, 288, 66,
1, 97, 348, 734, 1223, 1778, 2354, 2905, 3389, 3767,
4008, 4095, 4019, 3788, 3418, 2940, 2392, 1816, 1259, 763,
370, 109, 2, 57, 269, 622, 1088, 1630, 2205, 2768,
3273, 3682, 3961, 4088, 4054, 3861, 3524, 3070, 2536, 1962,
1395, 880, 458, 161, 14, 28, 202, 522, 963, 1490,
2062, 2632, 3156, 3592, 3905, 4072, 4077, 3922, 3619, 3190,
2672, 2103, 1530, 999, 550, 220, 35, 10, 146, 433,
848, 1358, 1923, 2498, 3037, 3498, 3843, 4046, 4091, 3973,
3703, 3301, 2800, 2239, 1662, 1117, 645, 285, 64, 1,
100, 354, 743, 1235, 1791, 2368, 2919, 3402, 3776, 4014,
4095, 4014, 3776, 3401, 2919, 2368, 1791, 1234, 742, 354,
100, 1, 65, 286, 647, 1119, 1665, 2242, 2803, 3304,
3705, 3975, 4091, 4045, 3840, 3493, 3031, 2490, 1915, 1349,
840, 426, 142, 9, 38, 226, 560, 1012, 1546, 2120,
2689, 3206, 3631, 3931, 4080, 4068, 3895, 3575, 3134, 2606,
2033, 1462, 938, 501, 188, 23, 18, 176, 482, 913,
1434, 2004, 2578, 3109, 3556, 3883, 4063, 4083, 3941, 3649,
3228, 2714, 2147, 1571, 1034, 577, 238, 42, 6, 133,
413, 822, 1329, 1894, 2470, 3013, 3479, 3831, 4041, 4092,
3980, 3714, 3315, 2816, 2254, 1677, 1129, 654, 290, 67,
1, 98, 351, 739, 1231, 1789, 2367, 2920, 3403, 3778,
4015, 4095, 4012, 3772, 3395, 2910, 2356, 1778, 1221, 730,
344, 95, 0, 70, 297, 664, 1141, 1690, 2268, 2829,
3327, 3723, 3985, 4093, 4037, 3823, 3466, 2997, 2452, 1874,
1310, 805, 400, 125, 5, 47, 249, 595, 1057, 1598,
2175, 2741, 3253, 3668, 3953, 4087, 4057, 3867, 3531, 3077,
2541, 1965, 1396, 879, 455, 158, 13, 30, 208, 534,
980, 1512, 2086, 2658, 3180, 3613, 3920, 4077, 4072, 3905,
3590, 3151, 2624, 2051, 1478, 950, 510, 193, 24, 17,
173, 479, 910, 1432, 2003, 2578, 3111, 3558, 3885, 4064,
4082, 3938, 3642, 3218, 2701, 2131, 1555, 1018, 563, 228,
38, 9, 143, 429, 846, 1358, 1926, 2503, 3044, 3505,
3850, 4050, 4089, 3966, 3688, 3279, 2772, 2206, 1628, 1083,
615, 263, 53, 3, 117, 386, 788, 1290, 1854, 2433,
2981, 3454, 3815, 4034, 4093, 3989, 3729, 3334, 2836, 2275,
1695, 1144, 665, 297, 70, 1, 96, 347, 735, 1229,
1788, 2367, 2922, 3406, 3781, 4017, 4095, 4009, 3765, 3384,
2895, 2338, 1758, 1201, 713, 331, 87, 0, 78, 314,
689, 1173, 1727, 2307, 2866, 3360, 3748, 4000, 4095, 4025,
3797, 3428, 2948, 2396, 1816, 1255, 757, 363, 104, 1,
63, 284, 647, 1122, 1672, 2252, 2816, 3317, 3717, 3983,
4093, 4038, 3824, 3467, 2996, 2448, 1868, 1303, 798, 393,
121, 4, 51, 259, 611, 1078, 1623, 2202, 2769, 3278,
3688, 3966, 4090, 4049, 3847, 3501, 3038, 2495, 1916, 1347,
835, 421, 137, 7, 41, 237, 579, 1038, 1579, 2158,
2728, 3243, 3662, 3950, 4086, 4058, 3867, 3531, 3074, 2535,
1957, 1386, 869, 446, 152, 11, 34, 219, 551, 1004,
1541, 2119, 2691, 3211, 3638, 3936, 4082, 4064, 3884, 3556,
3106, 2571, 1993, 1420, 898, 468, 166, 15, 28, 204,
528, 975, 1509, 2086, 2659, 3184, 3617, 3923, 4078, 4070,
3898, 3577, 3133, 2601, 2024, 1449, 923, 487, 177, 18,
23, 191, 509, 951, 1481, 2058, 2633, 3161, 3599, 3912,
4075, 4074, 3909, 3594, 3154, 2625, 2049, 1473, 944, 503,
188, 22, 20, 181, 494, 932, 1460, 2035, 2611, 3142,
3585, 3903, 4072, 4077, 3918, 3608, 3171, 2644, 2069, 1492,
960, 516, 195, 25, 17, 174, 482, 917, 1443, 2018,
2595, 3128, 3574, 3896, 4069, 4079, 3924, 3617, 3184, 2658,
2084, 1506, 972, 525, 201, 27, 16, 169, 474, 907,
1432, 2006, 2584, 3119, 3567, 3892, 4068, 4080, 3928, 3623,
3192, 2667, 2092, 1514, 979, 530, 205, 28, 15, 166,
470, 901, 1426, 2000, 2579, 3114, 3563, 3890, 4067, 4080,
3929, 3626, 3195, 2670, 2096, 1517, 981, 532, 206, 28,
15, 166, 469, 900, 1425, 2000, 2578, 3114, 3563, 3890,
4067, 4080, 3929, 3625, 3193, 2669, 2094, 1515, 979, 530,
204, 28, 15, 167, 472, 904, 1429, 2004, 2583, 3119,
3567, 3892, 4068, 4080, 3926, 3621, 3187, 2662, 2086, 1507,
972, 525, 201, 26, 16, 171, 478, 912, 1439, 2015,
2593, 3128, 3574, 3897, 4070, 4078, 3922, 3613, 3177, 2649,
2073, 1494, 961, 515, 195, 24, 18, 177, 487, 925,
1454, 2031, 2609, 3142, 3585, 3904, 4072, 4076, 3914, 3601,
3162, 2632, 2054, 1476, 945, 503, 186, 21, 21, 185,
501, 942, 1474, 2052, 2630, 3160, 3600, 3914, 4076, 4073,
3905, 3586, 3142, 2609, 2030, 1453, 924, 487, 176, 18,
24, 196, 518, 965, 1499, 2079, 2655, 3183, 3618, 3925,
4079, 4068, 3893, 3567, 3117, 2581, 2001, 1425, 899, 467,
164, 14, 29, 209, 539, 992, 1530, 2111, 2686, 3210,
3639, 3938, 4083, 4062, 3878, 3544, 3088, 2547, 1966, 1391,
870, 445, 150, 10, 36, 226, 564, 1024, 1567, 2149,
2722, 3241, 3663, 3952, 4087, 4055, 3860, 3516, 3053, 2508,
1926, 1353, 837, 419, 135, 6, 44, 246, 594, 1061,
1608, 2192, 2763, 3276, 3689, 3968, 4090, 4046, 3838, 3485,
3013, 2464, 1880, 1310, 800, 391, 119, 3, 55, 269,
628, 1103, 1656, 2240, 2809, 3315, 3718, 3985, 4093, 4034,
3813, 3448, 2968, 2413, 1829, 1262, 759, 361, 102, 1,
67, 296, 667, 1151, 1709, 2294, 2859, 3358, 3749, 4002,
4095, 4020, 3784, 3407, 2918, 2357, 1772, 1209, 715, 329,
84, 0, 83, 327, 711, 1205, 1768, 2353, 2914, 3403,
3782, 4019, 4095, 4003, 3751, 3360, 2861, 2296, 1710, 1152,
668, 296, 67, 1, 102, 362, 761, 1264, 1832, 2417,
2973, 3452, 3816, 4036, 4093, 3982, 3713, 3308, 2799, 2229,
1644, 1092, 618, 261, 51, 4, 125, 403, 816, 1329,
1902, 2487, 3035, 3503, 3851, 4052, 4088, 3957, 3670, 3250,
2731, 2156, 1572, 1027, 566, 226, 36, 10, 152, 449,
877, 1401, 1978, 2561, 3101, 3556, 3886, 4066, 4080, 3928,
3621, 3186, 2656, 2077, 1496, 959, 512, 191, 22, 20,
184, 500, 944, 1478, 2059, 2639, 3171, 3610, 3921, 4078,
4069, 3894, 3567, 3115, 2576, 1993, 1415, 889, 458, 157,
12, 33, 221, 558, 1018, 1562, 2146, 2722, 3243, 3665,
3955, 4088, 4053, 3854, 3506, 3038, 2489, 1904, 1330, 816,
402, 124, 4, 52, 264, 622, 1098, 1652, 2238, 2809,
3317, 3720, 3987, 4093, 4032, 3807, 3438, 2954, 2396, 1809,
1242, 741, 347, 93, 0, 76, 313, 693, 1185, 1748,
2335, 2899, 3392, 3775, 4016, 4095, 4005, 3755, 3363, 2864,
2297, 1710, 1150, 665, 293, 65, 1, 105, 370, 772,
1279, 1850, 2437, 2992, 3469, 3829, 4042, 4091, 3972, 3694,
3281, 2766, 2192, 1606, 1056, 588, 240, 41, 8, 142,
434, 858, 1381, 1958, 2543, 3087, 3545, 3880, 4064, 4082,
3932, 3626, 3191, 2661, 2081, 1498, 960, 512, 190, 22,
21, 186, 506, 952, 1489, 2072, 2653, 3184, 3621, 3929,
4081, 4065, 3883, 3550, 3093, 2549, 1964, 1386, 862, 437,
144, 8, 41, 239, 586, 1054, 1605, 2191, 2766, 3282,
3695, 3973, 4091, 4041, 3827, 3465, 2986, 2430, 1842, 1271,
765, 364, 102, 1, 69, 300, 676, 1165, 1727, 2315,
2882, 3379, 3767, 4012, 4095, 4009, 3761, 3371, 2872, 2304,
1716, 1155, 667, 294, 66, 1, 106, 371, 775, 1284,
1856, 2444, 2999, 3476, 3834, 4045, 4090, 3967, 3685, 3267,
2749, 2172, 1585, 1037, 572, 229, 36, 10, 153, 452,
883, 1411, 1991, 2576, 3118, 3570, 3897, 4071, 4077, 3915,
3598, 3154, 2617, 2034, 1451, 918, 479, 169, 15, 29,
210, 544, 1002, 1546, 2132, 2712, 3236, 3661, 3953, 4088,
4053, 3852, 3501, 3030, 2478, 1890, 1315, 801, 390, 116,
3, 58, 279, 646, 1130, 1689, 2279, 2849, 3352, 3748,
4002, 4095, 4018, 3777, 3393, 2897, 2331, 1742, 1177, 685,
306, 71, 1, 100, 360, 760, 1268, 1840, 2429, 2986,
3466, 3828, 4042, 4091, 3970, 3690, 3273, 2755, 2178, 1590,
1040, 573, 229, 36, 10, 153, 454, 886, 1415, 1997,
2582, 3124, 3576, 3901, 4072, 4075, 3910, 3590, 3142, 2603,
2018, 1435, 903, 467, 161, 12, 33, 221, 560, 1023,
1571, 2159, 2738, 3259, 3680, 3964, 4090, 4046, 3836, 3477,
2999, 2442, 1853, 1279, 770, 366, 103, 1, 69, 302,
680, 1172, 1736, 2327, 2894, 3391, 3776, 4017, 4095, 4002,
3747, 3350, 2845, 2273, 1683, 1123, 640, 274, 56, 3,
121, 398, 813, 1331, 1909, 2498, 3049, 3517, 3863, 4058,
4085, 3943, 3643, 3210, 2680, 2098, 1511, 969, 517, 192,
22, 21, 188, 510, 960, 1501, 2087, 2670, 3202, 3637,
3939, 4084, 4059, 3867, 3523, 3056, 2505, 1916, 1338, 819,
402, 123, 3, 55, 272, 637, 1120, 1681, 2271, 2844,
3349, 3747, 4002, 4095, 4017, 3774, 3388, 2890, 2321, 1730,
1165, 674, 297, 67, 1, 106, 374, 780, 1293, 1869,
2459, 3015, 3491, 3846, 4050, 4088, 3956, 3664, 3237, 2711,
2130, 1541, 995, 537, 205, 27, 17, 177, 493, 939,
1477, 2063, 2648, 3183, 3623, 3931, 4082, 4063, 3876, 3536,
3071, 2521, 1932, 1352, 830, 410, 127, 4, 52, 267,
630, 1112, 1672, 2264, 2837, 3344, 3744, 4001, 4095, 4018,
3776, 3389, 2891, 2322, 1730, 1164, 673, 296, 66, 1,
108, 377, 785, 1299, 1876, 2467, 3023, 3497, 3851, 4053,
4087, 3951, 3656, 3226, 2697, 2114, 1526, 981, 525, 197,
24, 20, 185, 507, 958, 1499, 2087, 2672, 3204, 3639,
3941, 4085, 4058, 3862, 3515, 3045, 2491, 1900, 1322, 804,
390, 115, 2, 61, 285, 658, 1146, 1711, 2303, 2874,
3376, 3767, 4013, 4095, 4005, 3751, 3355, 2848, 2275, 1683,
1121, 636, 271, 54, 4, 125, 408, 828, 1351, 1931,
2522, 3073, 3538, 3877, 4064, 4081, 3928, 3617, 3174, 2637,
2051, 1464, 926, 482, 169, 14, 30, 215, 554, 1018,
1568, 2159, 2740, 3263, 3685, 3968, 4091, 4042, 3826, 3460,
2976, 2414, 1821, 1247, 740, 343, 89, 0, 83, 330,
722, 1225, 1797, 2390, 2955, 3443, 3814, 4037, 4092, 3976,
3698, 3281, 2761, 2180, 1589, 1036, 568, 224, 33, 12,
162, 471, 911, 1448, 2035, 2622, 3162, 3608, 3923, 4080,
4066, 3882, 3545, 3081, 2531, 1939, 1357, 833, 411, 127,
4, 53, 270, 636, 1121, 1684, 2278, 2852, 3358, 3755,
4007, 4095, 4010, 3761, 3367, 2862, 2288, 1695, 1131, 644,
275, 55, 3, 124, 406, 826, 1349, 1931, 2523, 3075,
3540, 3880, 4065, 4080, 3925, 3611, 3165, 2626, 2037, 1450,
913, 471, 162, 12, 34, 225, 570, 1039, 1593, 2186,
2766, 3287, 3703, 3979, 4093, 4034, 3808, 3433, 2942, 2375,
1781, 1209, 708, 319, 77, 0, 96, 357, 760, 1272,
1849, 2443, 3004, 3483, 3842, 4050, 4088, 3955, 3660, 3230,
2700, 2114, 1523, 977, 520, 193, 22, 22, 193, 520,
976, 1523, 2114, 2699, 3230, 3660, 3955, 4088, 4050, 3842,
3483, 3002, 2441, 1847, 1269, 758, 355, 95, 0, 78,
322, 712, 1215, 1788, 2383, 2950, 3440, 3813, 4037, 4092,
3975, 3695, 3276, 2753, 2170, 1577, 1024, 557, 216, 30,
15, 171, 486, 932, 1474, 2063, 2651, 3189, 3630, 3937,
4084, 4059, 3864, 3516, 3043, 2486, 1892, 1311, 793, 380,
109, 1, 67, 300, 681, 1178, 1748, 2343, 2914, 3411,
3793, 4027, 4094, 3987, 3717, 3305, 2786, 2205, 1611, 1054,
581, 231, 36, 11, 158, 466, 907, 1445, 2033, 2623,
3165, 3611, 3926, 4081, 4064, 3876, 3534, 3065, 2510, 1916,
1334, 811, 394, 116, 2, 62, 289, 666, 1160, 1729,
2325, 2897, 3398, 3784, 4023, 4094, 3992, 3726, 3317, 2800,
2220, 1625, 1065, 590, 237, 38, 10, 154, 459, 899,
1436, 2024, 2615, 3158, 3607, 3923, 4080, 4065, 3879, 3537,
3069, 2514, 1920, 1336, 813, 395, 117, 2, 61, 289,
666, 1160, 1730, 2326, 2899, 3400, 3785, 4024, 4094, 3991,
3723, 3312, 2794, 2213, 1618, 1059, 584, 233, 37, 11,
158, 466, 908, 1447, 2037, 2627, 3169, 3615, 3928, 4082,
4062, 3872, 3526, 3055, 2498, 1903, 1320, 799, 384, 110,
1, 66, 300, 682, 1180, 1752, 2349, 2920, 3417, 3798,
4030, 4093, 3983, 3707, 3291, 2769, 2185, 1590, 1034, 564,
220, 31, 14, 170, 486, 934, 1478, 2069, 2659, 3197,
3637, 3942, 4086, 4056, 3855, 3500, 3022, 2461, 1864, 1284,
768, 361, 98, 0, 77, 322, 714, 1219, 1795, 2392,
2960, 3450, 3821, 4041, 4091, 3967, 3679, 3253, 2724, 2137,
1542, 991, 530, 197, 23, 21, 192, 520, 979, 1529,
2123, 2711, 3242, 3672, 3962, 4090, 4044, 3827, 3459, 2970,
2403, 1805, 1228, 721, 327, 80, 0, 95, 357, 762,
1277, 1858, 2456, 3018, 3497, 3853, 4055, 4086, 3942, 3638,
3197, 2658, 2067, 1475, 931, 483, 168, 13, 33, 224,
570, 1043, 1602, 2198, 2782, 3303, 3717, 3988, 4094, 4025,
3787, 3401, 2899, 2324, 1726, 1155, 661, 284, 59, 3,
122, 405, 829, 1356, 1943, 2539, 3093, 3557, 3893, 4070,
4075, 3907, 3580, 3122, 2572, 1977, 1388, 856, 425, 133,
5, 51, 268, 637, 1127, 1695, 2293, 2871, 3378, 3771,
4017, 4095, 3997, 3733, 3324, 2807, 2224, 1627, 1065, 587,
234, 37, 11, 160, 470, 915, 1457, 2049, 2642, 3183,
3628, 3937, 4084, 4058, 3859, 3505, 3026, 2464, 1866, 1283,
766, 359, 96, 0, 80, 328, 723, 1231, 1810, 2409,
2977, 3465, 3832, 4046, 4089, 3957, 3662, 3228, 2693, 2103,
1508, 959, 504, 180, 17, 28, 211, 553, 1022, 1579,
2176, 2762, 3287, 3706, 3983, 4093, 4029, 3794, 3410, 2909,
2334, 1735, 1162, 665, 287, 60, 3, 121, 405, 829,
1358, 1947, 2543, 3098, 3562, 3896, 4072, 4074, 3902, 3571,
3110, 2557, 1960, 1371, 840, 413, 126, 3, 57, 281,
656, 1151, 1723, 2323, 2899, 3402, 3789, 4026, 4094, 3985,
3711, 3293, 2769, 2182, 1584, 1026, 555, 213, 28, 17,
180, 503, 959, 1509, 2105, 2696, 3231, 3665, 3959, 4090,
4045, 3828, 3458, 2968, 2398, 1798, 1219, 712, 319, 75,
1, 102, 371, 784, 1305, 1890, 2489, 3050, 3525, 3873,
4063, 4081, 3923, 3605, 3152, 2604, 2009, 1417, 879, 441,
142, 7, 47, 259, 625, 1114, 1683, 2283, 2863, 3373,
3769, 4016, 4095, 3997, 3731, 3320, 2800, 2215, 1616, 1054,
577, 227, 33, 13, 168, 485, 937, 1484, 2080, 2672,
3211, 3650, 3951, 4088, 4049, 3838, 3472, 2984, 2415, 1815,
1234, 724, 327, 79, 0, 98, 364, 775, 1295, 1881,
2480, 3043, 3520, 3869, 4062, 4081, 3925, 3607, 3155, 2607,
2011, 1418, 879, 441, 142, 6, 47, 261, 628, 1118,
1688, 2289, 2869, 3379, 3773, 4019, 4095, 3994, 3725, 3311,
2789, 2202, 1602, 1041, 566, 219, 30, 15, 176, 498,
953, 1504, 2101, 2693, 3230, 3665, 3960, 4090, 4044, 3825,
3453, 2959, 2387, 1786, 1207, 700, 310, 70, 1, 109,
384, 802, 1329, 1917, 2517, 3076, 3546, 3887, 4069, 4076,
3908, 3580, 3118, 2565, 1966, 1375, 842, 413, 125, 3,
58, 285, 665, 1164, 1739, 2341, 2918, 3419, 3802, 4033,
4093, 3975, 3691, 3265, 2733, 2143, 1543, 988, 524, 192,
20, 24, 203, 541, 1010, 1568, 2168, 2758, 3286, 3707,
3984, 4094, 4026, 3788, 3399, 2892, 2313, 1711, 1138, 643,
270, 51, 5, 136, 432, 868, 1406, 2000, 2598, 3148,
3603, 3923, 4081, 4063, 3870, 3519, 3041, 2477, 1876, 1289,
768, 358, 95, 0, 83, 336, 738, 1252, 1836, 2438,
3007, 3492, 3852, 4055, 4085, 3938, 3627, 3179, 2633, 2037,
1441, 898, 454, 149, 8, 44, 254, 619, 1109, 1679,
2282, 2864, 3376, 3772, 4019, 4095, 3993, 3722, 3306, 2781,
2193, 1591, 1029, 556, 212, 27, 18, 185, 513, 974,
1529, 2129, 2721, 3256, 3685, 3972, 4092, 4035, 3805, 3422,
2920, 2343, 1739, 1163, 663, 283, 57, 4, 128, 418,
851, 1387, 1980, 2580, 3133, 3592, 3917, 4079, 4065, 3876,
3527, 3051, 2486, 1884, 1296, 774, 362, 96, 0, 82,
335, 737, 1252, 1837, 2440, 3009, 3495, 3854, 4057, 4084,
3935, 3622, 3171, 2623, 2025, 1429, 886, 445, 143, 7,
48, 263, 633, 1126, 1700, 2304, 2885, 3394, 3785, 4026,
4094, 3984, 3705, 3283, 2753, 2161, 1559, 1000, 533, 197,
22, 23, 201, 539, 1009, 1569, 2171, 2762, 3291, 3712,
3987, 4094, 4023, 3779, 3385, 2874, 2291, 1687, 1115, 623,
256, 45, 8, 149, 455, 900, 1445, 2043, 2641, 3187,
3634, 3943, 4086, 4052, 3843, 3478, 2988, 2416, 1812, 1228,
716, 320, 74, 1, 106, 380, 800, 1328, 1920, 2522,
3083, 3554, 3893, 4072, 4073, 3899, 3562, 3094, 2534, 1932,
1340, 809, 387, 109, 1, 71, 314, 708, 1219, 1802,
2406, 2980, 3472, 3839, 4051, 4087, 3945, 3638, 3192, 2646,
2047, 1449, 903, 457, 149, 8, 44, 256, 624, 1116,
1690, 2295, 2878, 3389, 3782, 4024, 4094, 3984, 3706, 3282,
2751, 2158, 1556, 996, 528, 193, 20, 25, 206, 548,
1021, 1584, 2187, 2778, 3306, 3723, 3994, 4095, 4016, 3766,
3365, 2850, 2264, 1659, 1088, 601, 240, 38, 11, 163,
479, 932, 1484, 2084, 2681, 3223, 3662, 3960, 4090, 4042,
3819, 3441, 2941, 2363, 1758, 1177, 673, 289, 59, 3,
126, 417, 851, 1390, 1986, 2587, 3142, 3600, 3923, 4081,
4062, 3865, 3510, 3027, 2458, 1853, 1264, 745, 340, 84,
0, 96, 362, 776, 1302, 1893, 2497, 3062, 3539, 3884,
4069, 4076, 3906, 3573, 3106, 2546, 1943, 1349, 816, 391,
111, 1, 71, 313, 708, 1220, 1805, 2411, 2985, 3477,
3844, 4053, 4086, 3940, 3629, 3178, 2629, 2028, 1429, 885,
442, 140, 6, 50, 270, 646, 1145, 1723, 2329, 2911,
3417, 3803, 4035, 4092, 3970, 3679, 3245, 2706, 2109, 1506,
951, 493, 171, 13, 34, 232, 590, 1075, 1646, 2252,
2840, 3359, 3762, 4015, 4095, 3995, 3724, 3306, 2777, 2184,
1579, 1016, 543, 202, 23, 22, 199, 539, 1011, 1575,
2179, 2773, 3302, 3721, 3994, 4095, 4016, 3764, 3361, 2843,
2254, 1648, 1077, 591, 233, 35, 13, 171, 493, 953,
1508, 2112, 2709, 3248, 3682, 3972, 4092, 4033, 3799, 3411,
2903, 2320, 1712, 1134, 637, 264, 47, 7, 146, 453,
900, 1448, 2049, 2649, 3197, 3644, 3950, 4088, 4047, 3830,
3456, 2958, 2379, 1772, 1189, 681, 294, 61, 3, 125,
417, 852, 1392, 1991, 2594, 3149, 3607, 3928, 4083, 4059,
3857, 3496, 3007, 2434, 1827, 1239, 722, 322, 75, 1,
107, 385, 809, 1342, 1938, 2543, 3104, 3573, 3907, 4077,
4068, 3880, 3532, 3052, 2484, 1877, 1285, 761, 350, 88,
0, 92, 357, 771, 1297, 1890, 2497, 3064, 3541, 3886,
4070, 4075, 3901, 3563, 3092, 2528, 1922, 1327, 796, 375,
102, 0, 80, 333, 737, 1257, 1847, 2455, 3026, 3512,
3868, 4063, 4080, 3918, 3590, 3127, 2567, 1962, 1365, 828,
398, 114, 1, 69, 312, 708, 1222, 1809, 2418, 2993,
3485, 3850, 4056, 4084, 3932, 3614, 3157, 2602, 1998, 1398,
856, 419, 126, 3, 61, 294, 683, 1192, 1777, 2385,
2964, 3462, 3835, 4050, 4087, 3944, 3634, 3183, 2631, 2028,
1427, 880, 437, 136, 5, 54, 280, 662, 1166, 1749,
2358, 2940, 3442, 3822, 4044, 4089, 3954, 3650, 3204, 2656,
2053, 1451, 901, 452, 145, 7, 49, 268, 644, 1145,
1726, 2336, 2919, 3426, 3811, 4039, 4091, 3962, 3663, 3221,
2675, 2074, 1470, 917, 465, 153, 8, 45, 259, 631,
1129, 1708, 2318, 2904, 3413, 3802, 4035, 4092, 3967, 3673,
3234, 2690, 2089, 1485, 930, 474, 158, 10, 42, 252,
621, 1117, 1696, 2305, 2892, 3404, 3796, 4032, 4092, 3971,
3680, 3243, 2700, 2100, 1494, 938, 480, 162, 10, 40,
248, 615, 1110, 1688, 2298, 2885, 3399, 3792, 4030, 4093,
3973, 3683, 3248, 2706, 2105, 1499, 942, 483, 163, 11,
39, 246, 613, 1107, 1685, 2295, 2883, 3397, 3791, 4030,
4093, 3974, 3684, 3248, 2706, 2105, 1499, 942, 483, 163,
11, 39, 247, 614, 1109, 1687, 2297, 2885, 3399, 3792,
4031, 4093, 3973, 3682, 3245, 2702, 2101, 1495, 938, 480,
161, 10, 41, 250, 618, 1115, 1694, 2304, 2892, 3405,
3796, 4033, 4092, 3970, 3676, 3238, 2693, 2091, 1485, 930,
473, 157, 9, 43, 255, 627, 1125, 1705, 2316, 2903,
3414, 3803, 4036, 4091, 3965, 3668, 3226, 2680, 2077, 1471,
917, 463, 151, 8, 46, 263, 639, 1140, 1722, 2333,
2919, 3427, 3812, 4040, 4090, 3958, 3656, 3211, 2661, 2057,
1452, 900, 451, 143, 6, 51, 273, 654, 1159, 1744,
2355, 2939, 3444, 3824, 4045, 4089, 3950, 3641, 3191, 2638,
2033, 1428, 880, 435, 134, 4, 57, 287, 674, 1184,
1770, 2382, 2964, 3464, 3838, 4051, 4086, 3939, 3623, 3166,
2610, 2003, 1400, 855, 417, 124, 2, 64, 303, 697,
1212, 1802, 2414, 2993, 3487, 3853, 4058, 4083, 3926, 3601,
3138, 2577, 1968, 1367, 827, 395, 112, 1, 73, 322,
725, 1246, 1839, 2450, 3026, 3514, 3871, 4065, 4078, 3910,
3576, 3104, 2539, 1929, 1330, 795, 372, 99, 0, 85,
344, 757, 1285, 1881, 2492, 3063, 3543, 3890, 4072, 4072,
3892, 3546, 3066, 2496, 1885, 1288, 760, 346, 85, 0,
98, 371, 793, 1328, 1927, 2537, 3104, 3575, 3910, 4078,
4065, 3870, 3512, 3024, 2447, 1835, 1242, 721, 319, 72,
1, 114, 400, 834, 1377, 1979, 2588, 3148, 3610, 3932,
4084, 4055, 3845, 3474, 2976, 2394, 1781, 1192, 680, 290,
58, 4, 133, 434, 880, 1430, 2036, 2643, 3196, 3647,
3953, 4089, 4042, 3816, 3432, 2923, 2335, 1722, 1138, 636,
260, 44, 9, 156, 473, 931, 1489, 2098, 2702, 3247,
3685, 3976, 4093, 4027, 3783, 3384, 2864, 2272, 1659, 1081,
589, 229, 32, 16, 182, 516, 987, 1554, 2165, 2765,
3301, 3725, 3997, 4095, 4009, 3746, 3331, 2801, 2203, 1591,
1020, 541, 198, 21, 26, 212, 564, 1049, 1624, 2236,
2832, 3358, 3765, 4018, 4094, 3986, 3704, 3273, 2731, 2129,
1518, 956, 491, 167, 11, 39, 247, 618, 1116, 1699,
2313, 2903, 3416, 3806, 4038, 4091, 3960, 3657, 3209, 2656,
2049, 1442, 889, 441, 137, 4, 56, 287, 677, 1190,
1780, 2394, 2977, 3476, 3847, 4056, 4084, 3928, 3604, 3139,
2576, 1965, 1362, 820, 389, 108, 1, 78, 333, 742,
1269, 1866, 2479, 3054, 3537, 3887, 4071, 4073, 3892, 3545,
3063, 2489, 1876, 1278, 750, 338, 81, 0, 105, 384,
813, 1354, 1957, 2568, 3133, 3599, 3926, 4083, 4057, 3849,
3479, 2980, 2397, 1782, 1192, 678, 288, 56, 5, 137,
442, 891, 1445, 2054, 2661, 3214, 3661, 3962, 4091, 4036,
3801, 3407, 2891, 2299, 1684, 1102, 605, 239, 35, 14,
175, 506, 976, 1543, 2155, 2758, 3296, 3722, 3996, 4095,
4009, 3745, 3328, 2796, 2196, 1582, 1011, 533, 192, 19,
28, 221, 578, 1068, 1647, 2261, 2857, 3379, 3781, 4027,
4093, 3975, 3682, 3242, 2694, 2087, 1477, 918, 461, 148,
7, 50, 273, 657, 1167, 1756, 2372, 2958, 3462, 3838,
4052, 4085, 3934, 3612, 3148, 2585, 1973, 1368, 824, 391,
108, 1, 78, 334, 745, 1273, 1872, 2487, 3061, 3545,
3892, 4073, 4070, 3885, 3533, 3046, 2469, 1854, 1257, 731,
324, 73, 1, 114, 403, 840, 1387, 1993, 2604, 3165,
3625, 3942, 4087, 4048, 3827, 3445, 2937, 2348, 1731, 1144,
638, 260, 44, 9, 159, 481, 944, 1507, 2119, 2725,
3269, 3703, 3987, 4094, 4017, 3760, 3349, 2819, 2220, 1605,
1030, 547, 200, 21, 26, 214, 568, 1056, 1635, 2250,
2848, 3373, 3777, 4025, 4093, 3976, 3684, 3243, 2694, 2086,
1475, 916, 459, 146, 6, 51, 278, 665, 1177, 1769,
2385, 2972, 3474, 3847, 4056, 4083, 3926, 3597, 3129, 2561,
1948, 1343, 802, 375, 99, 0, 87, 352, 772, 1307,
1909, 2524, 3095, 3572, 3910, 4079, 4063, 3864, 3500, 3004,
2422, 1805, 1210, 691, 296, 59, 4, 134, 438, 888,
1444, 2055, 2665, 3219, 3666, 3966, 4092, 4032, 3791, 3392,
2871, 2275, 1658, 1076, 583, 223, 29, 18, 192, 535,
1016, 1590, 2206, 2807, 3340, 3754, 4014, 4095, 3989, 3707,
3273, 2729, 2122, 1508, 944, 480, 158, 9, 45, 263,
644, 1153, 1743, 2361, 2950, 3457, 3836, 4052, 4085, 3933,
3609, 3143, 2578, 1963, 1357, 813, 382, 103, 0, 84,
347, 765, 1300, 1903, 2519, 3092, 3570, 3909, 4079, 4063,
3864, 3499, 3002, 2418, 1801, 1205, 687, 292, 58, 4,
137, 445, 898, 1456, 2068, 2678, 3231, 3676, 3972, 4093,
4027, 3781, 3376, 2851, 2252, 1634, 1055, 565, 211, 25,
22, 205, 556, 1043, 1621, 2239, 2839, 3367, 3774, 4024,
4093, 3976, 3683, 3241, 2689, 2079, 1466, 906, 451, 141,
5, 56, 288, 681, 1199, 1794, 2413, 2998, 3496, 3862,
4063, 4079, 3910, 3570, 3092, 2518, 1901, 1298, 763, 345,
83, 0, 105, 387, 820, 1366, 1974, 2589, 3154, 3619,
3939, 4087, 4048, 3827, 3442, 2931, 2338, 1719, 1130, 625,
250, 39, 12, 171, 501, 973, 1543, 2160, 2766, 3306,
3731, 4003, 4095, 4000, 3727, 3300, 2758, 2151, 1535, 966,
496, 167, 11, 41, 255, 632, 1139, 1730, 2349, 2941,
3451, 3833, 4051, 4086, 3934, 3610, 3142, 2574, 1959, 1351,
807, 376, 99, 0, 89, 356, 779, 1318, 1924, 2541,
3113, 3587, 3920, 4082, 4058, 3849, 3475, 2970, 2381, 1762,
1168, 655, 270, 47, 8, 156, 477, 942, 1508, 2124,
2733, 3279, 3712, 3993, 4095, 4009, 3744, 3323, 2786, 2180,
1562, 989, 513, 178, 14, 36, 243, 616, 1119, 1708,
2328, 2923, 3437, 3823, 4047, 4087, 3940, 3620, 3155, 2589,
1973, 1363, 817, 383, 103, 0, 86, 351, 773, 1311,
1917, 2535, 3108, 3584, 3919, 4082, 4058, 3850, 3476, 2971,
2381, 1761, 1167, 654, 268, 46, 8, 158, 480, 947,
1515, 2132, 2741, 3286, 3718, 3996, 4095, 4006, 3737, 3313,
2772, 2165, 1547, 975, 502, 171, 12, 40, 253, 630,
1138, 1730, 2351, 2944, 3454, 3835, 4052, 4085, 3930, 3602,
3131, 2561, 1943, 1335, 792, 365, 93, 0, 96, 371,
800, 1344, 1953, 2571, 3140, 3609, 3934, 4086, 4050, 3830,
3446, 2933, 2338, 1717, 1126, 620, 246, 37, 13, 177,
512, 990, 1564, 2183, 2789, 3328, 3748, 4012, 4095, 3989,
3705, 3268, 2718, 2107, 1490, 925, 463, 147, 6, 53,
284, 677, 1197, 1794, 2416, 3003, 3502, 3868, 4065, 4077,
3901, 3555, 3070, 2491, 1870, 1266, 734, 323, 71, 2,
120, 417, 864, 1419, 2033, 2648, 3208, 3661, 3965, 4092,
4031, 3786, 3382, 2854, 2252, 1631, 1048, 558, 205, 22,
26, 216, 575, 1071, 1656, 2277, 2878, 3401, 3800, 4037,
4090, 3955, 3644, 3186, 2622, 2005, 1393, 840, 399, 111,
1, 80, 340, 759, 1296, 1903, 2523, 3099, 3578, 3916,
4081, 4059, 3850, 3475, 2969, 2377, 1755, 1159, 646, 262,
44, 10, 164, 493, 965, 1537, 2157, 2766, 3309, 3735,
4006, 4095, 3995, 3715, 3281, 2733, 2122, 1503, 935, 470,
151, 7, 51, 281, 673, 1193, 1792, 2414, 3003, 3503,
3868, 4066, 4076, 3899, 3551, 3063, 2482, 1860, 1256, 725,
316, 68, 2, 126, 428, 879, 1439, 2055, 2670, 3228,
3676, 3974, 4093, 4023, 3770, 3358, 2824, 2219, 1597, 1017,
533, 189, 17, 32, 235, 605, 1109, 1700, 2323, 2921,
3437, 3825, 4048, 4086, 3935, 3610, 3139, 2567, 1948, 1337,
792, 364, 91, 0, 99, 378, 812, 1360, 1972, 2591,
3160, 3626, 3945, 4089, 4043, 3812, 3418, 2897, 2296, 1673,
1085, 586, 222, 28, 20, 201, 553, 1044, 1628, 2250,
2854, 3383, 3788, 4032, 4092, 3962, 3654, 3197, 2634, 2016,
1401, 846, 403, 112, 1, 79, 341, 761, 1300, 1908,
2530, 3107, 3585, 3921, 4083, 4056, 3842, 3462, 2950, 2355,
1731, 1137, 627, 249, 38, 13, 178, 516, 997, 1575,
2197, 2805, 3343, 3760, 4019, 4094, 3979, 3685, 3239, 2681,
2065, 1448, 886, 432, 128, 2, 67, 316, 725, 1258,
1864, 2487, 3069, 3556, 3903, 4078, 4063, 3862, 3491, 2987,
2395, 1770, 1172, 655, 267, 45, 9, 163, 492, 966,
1540, 2162, 2773, 3316, 3741, 4009, 4095, 3990, 3704, 3264,
2711, 2096, 1476, 910, 450, 138, 4, 60, 301, 705,
1234, 1838, 2462, 3047, 3540, 3893, 4074, 4067, 3872, 3507,
3006, 2416, 1791, 1190, 669, 277, 49, 8, 156, 481,
951, 1524, 2146, 2758, 3304, 3733, 4005, 4095, 3994, 3711,
3274, 2722, 2107, 1487, 919, 456, 142, 5, 58, 297,
699, 1227, 1831, 2456, 3042, 3536, 3891, 4074, 4068, 3874,
3509, 3008, 2418, 1793, 1191, 670, 277, 49, 8, 157,
482, 953, 1527, 2149, 2761, 3307, 3736, 4007, 4095, 3992,
3708, 3268, 2715, 2100, 1479, 912, 450, 138, 4, 61,
303, 708, 1238, 1844, 2468, 3054, 3545, 3897, 4076, 4065,
3867, 3498, 2994, 2401, 1775, 1175, 656, 268, 45, 10,
164, 495, 971, 1548, 2171, 2782, 3325, 3749, 4014, 4094,
3984, 3693, 3248, 2690, 2073, 1453, 889, 433, 128, 2,
68, 319, 731, 1266, 1875, 2499, 3082, 3567, 3911, 4080,
4059, 3850, 3473, 2962, 2365, 1739, 1142, 629, 249, 37,
14, 180, 521, 1005, 1587, 2212, 2821, 3358, 3772, 4025,
4093, 3969, 3666, 3211, 2647, 2027, 1409, 851, 404, 112,
1, 81, 345, 769, 1313, 1925, 2549, 3126, 3602, 3932,
4086, 4049, 3824, 3434, 2913, 2311, 1685, 1092, 589, 223,
27, 21, 205, 561, 1057, 1645, 2271, 2877, 3404, 3805,
4040, 4089, 3947, 3626, 3158, 2585, 1962, 1347, 798, 366,
91, 0, 101, 384, 823, 1377, 1994, 2616, 3185, 3647,
3959, 4091, 4032, 3787, 3379, 2846, 2237, 1611, 1026, 537,
190, 16, 34, 240, 616, 1126, 1723, 2350, 2949, 3463,
3844, 4057, 4081, 3915, 3573, 3087, 2505, 1879, 1269, 732,
319, 68, 3, 129, 436, 895, 1461, 2083, 2701, 3258,
3701, 3989, 4095, 4008, 3737, 3308, 2760, 2145, 1521, 946,
475, 152, 6, 53, 287, 686, 1214, 1820, 2447, 3036,
3533, 3890, 4074, 4067, 3871, 3503, 2998, 2404, 1777, 1174,
654, 265, 44, 10, 169, 504, 984, 1564, 2190, 2802,
3344, 3763, 4021, 4093, 3973, 3672, 3218, 2654, 2033, 1413,
853, 405, 112, 1, 82, 349, 775, 1321, 1936, 2561,
3138, 3612, 3939, 4088, 4044, 3813, 3416, 2890, 2284, 1656,
1065, 567, 208, 22, 27, 222, 589, 1093, 1688, 2316,
2919, 3440, 3829, 4051, 4084, 3926, 3590, 3109, 2528, 1902,
1289, 748, 329, 72, 2, 124, 427, 883, 1449, 2072,
2692, 3251, 3697, 3987, 4095, 4009, 3739, 3309, 2760, 2144,
1519, 944, 473, 150, 6, 55, 291, 694, 1224, 1831,
2459, 3049, 3543, 3897, 4076, 4064, 3862, 3488, 2979, 2381,
1752, 1151, 635, 252, 38, 14, 182, 526, 1013, 1598,
2226, 2837, 3373, 3784, 4032, 4091, 3958, 3645, 3181, 2609,
1985, 1366, 812, 375, 95, 0, 98, 380, 820, 1376,
1995, 2619, 3189, 3651, 3962, 4092, 4029, 3778, 3364, 2826,
2214, 1586, 1002, 517, 176, 12, 41, 259, 646, 1166,
1769, 2398, 2995, 3501, 3871, 4068, 4074, 3888, 3528, 3029,
2436, 1807, 1201, 674, 278, 48, 8, 161, 492, 971,
1551, 2178, 2793, 3337, 3759, 4020, 4094, 3974, 3672, 3216,
2650, 2026, 1405, 844, 398, 107, 0, 87, 360, 792,
1343, 1961, 2587, 3162, 3631, 3951, 4090, 4036, 3794, 3386,
2852, 2241, 1612, 1025, 534, 186, 15, 36, 248, 630,
1147, 1749, 2379, 2978, 3488, 3862, 4065, 4076, 3895, 3539,
3041, 2450, 1820, 1212, 683, 283, 51, 8, 158, 487,
964, 1544, 2172, 2788, 3333, 3757, 4019, 4094, 3974, 3672,
3216, 2650, 2025, 1404, 843, 396, 106, 0, 89, 363,
797, 1349, 1968, 2595, 3169, 3637, 3955, 4091, 4033, 3787,
3376, 2839, 2227, 1597, 1011, 522, 179, 13, 40, 257,
645, 1165, 1770, 2401, 2998, 3505, 3874, 4069, 4072, 3883,
3520, 3017, 2422, 1791, 1185, 660, 268, 44, 11, 171,
509, 994, 1579, 2208, 2822, 3362, 3778, 4029, 4092, 3961,
3647, 3182, 2609, 1983, 1362, 807, 370, 92, 0, 103,
390, 835, 1396, 2018, 2643, 3212, 3669, 3973, 4094, 4020,
3758, 3334, 2787, 2170, 1542, 961, 484, 155, 7, 53,
288, 691, 1223, 1833, 2464, 3055, 3550, 3903, 4078, 4061,
3852, 3471, 2955, 2352, 1721, 1120, 608, 232, 30, 20,
202, 560, 1060, 1654, 2286, 2894, 3422, 3819, 4048, 4086,
3930, 3594, 3112, 2527, 1898, 1282, 740, 321, 68, 3,
132, 445, 910, 1483, 2110, 2731, 3287, 3725, 4003, 4095,
3992, 3703, 3256, 2695, 2071, 1446, 877, 421, 119, 1,
78, 343, 771, 1320, 1938, 2567, 3147, 3621, 3946, 4089,
4038, 3797, 3389, 2853, 2240, 1609, 1020, 528, 182, 13,
39, 256, 644, 1166, 1772, 2404, 3003, 3510, 3878, 4070,
4070, 3877, 3509, 3002, 2404, 1771, 1165, 643, 255, 39,
14, 183, 530, 1022, 1612, 2244, 2857, 3392, 3799, 4039,
4089, 3944, 3617, 3141, 2560, 1931, 1312, 764, 338, 75,
1, 123, 428, 888, 1459, 2086, 2710, 3270, 3713, 3997,
4095, 3997, 3713, 3270, 2709, 2086, 1459, 888, 428, 123,
1, 76, 339, 765, 1314, 1933, 2563, 3144, 3620, 3945,
4089, 4038, 3797, 3388, 2851, 2237, 1605, 1015, 524, 179,
13, 41, 261, 652, 1177, 1785, 2418, 3016, 3521, 3885,
4073, 4067, 3868, 3495, 2983, 2382, 1748, 1144, 625, 243,
34, 17, 195, 550, 1049, 1643, 2276, 2887, 3418, 3817,
4047, 4086, 3929, 3592, 3107, 2521, 1889, 1273, 730, 314,
64, 4, 139, 458, 929, 1507, 2137, 2758, 3311, 3743,
4013, 4094, 3979, 3679, 3223, 2653, 2026, 1401, 838, 390,
102, 0, 94, 376, 818, 1378, 2002, 2630, 3203, 3665,
3971, 4093, 4019, 3756, 3329, 2779, 2159, 1528, 947, 471,
147, 5, 59, 304, 716, 1256, 1872, 2504, 3093, 3582,
3923, 4084, 4050, 3824, 3427, 2897, 2286, 1653, 1057, 556,
198, 18, 33, 241, 623, 1141, 1747, 2381, 2984, 3496,
3870, 4068, 4072, 3882, 3516, 3008, 2409, 1774, 1166, 642,
254, 38, 15, 187, 538, 1034, 1627, 2261, 2875, 3409,
3812, 4045, 4087, 3932, 3597, 3112, 2525, 1892, 1274, 731,
314, 63, 4, 141, 461, 934, 1514, 2145, 2767, 3320,
3750, 4017, 4094, 3974, 3669, 3208, 2636, 2007, 1381, 820,
377, 95, 0, 103, 392, 841, 1406, 2033, 2661, 3230,
3686, 3983, 4095, 4009, 3734, 3297, 2740, 2116, 1486, 909,
442, 130, 2, 71, 331, 756, 1305, 1926, 2558, 3141,
3619, 3946, 4090, 4037, 3792, 3379, 2838, 2221, 1587, 998,
509, 169, 10, 47, 277, 677, 1210, 1823, 2458, 3053,
3552, 3905, 4080, 4058, 3843, 3455, 2931, 2321, 1686, 1085,
577, 211, 22, 28, 229, 605, 1121, 1725, 2361, 2967,
3484, 3862, 4066, 4074, 3888, 3523, 3017, 2416, 1781, 1171,
645, 255, 38, 15, 187, 540, 1038, 1633, 2268, 2882,
3416, 3817, 4048, 4085, 3926, 3586, 3097, 2506, 1872, 1254,
713, 301, 57, 6, 152, 481, 961, 1546, 2180, 2800,
3349, 3771, 4027, 4092, 3959, 3642, 3171, 2591, 1958, 1334,
780, 347, 79, 1, 121, 427, 890, 1464, 2095, 2721,
3283, 3724, 4004, 4095, 3988, 3693, 3239, 2670, 2041, 1412,
845, 394, 103, 0, 95, 379, 824, 1388, 2015, 2645,
3218, 3678, 3979, 4094, 4011, 3738, 3302, 2744, 2118, 1486,
908, 441, 128, 2, 73, 336, 764, 1316, 1939, 2573,
3156, 3631, 3953, 4091, 4031, 3779, 3359, 2812, 2192, 1557,
970, 487, 155, 6, 56, 298, 709, 1250, 1869, 2504,
3096, 3586, 3927, 4086, 4047, 3815, 3412, 2876, 2260, 1624,
1028, 532, 182, 13, 41, 264, 659, 1189, 1802, 2439,
3038, 3541, 3900, 4078, 4060, 3847, 3459, 2935, 2324, 1687,
1084, 575, 209, 21, 29, 234, 614, 1133, 1741, 2379,
2984, 3499, 3873, 4070, 4070, 3875, 3502, 2988, 2383, 1745,
1137, 617, 236, 30, 20, 207, 573, 1082, 1684, 2322,
2933, 3458, 3846, 4060, 4078, 3899, 3541, 3037, 2437, 1800,
1186, 656, 261, 40, 14, 185, 537, 1035, 1632, 2270,
2885, 3420, 3821, 4050, 4084, 3921, 3575, 3081, 2487, 1850,
1232, 693, 286, 50, 8, 165, 504, 993, 1585, 2222,
2841, 3384, 3797, 4039, 4089, 3939, 3606, 3121, 2532, 1896,
1274, 728, 310, 61, 5, 148, 475, 956, 1542, 2178,
2801, 3351, 3774, 4029, 4091, 3955, 3633, 3157, 2572, 1937,
1312, 759, 332, 71, 2, 133, 450, 922, 1504, 2139,
2765, 3321, 3753, 4019, 4093, 3968, 3656, 3188, 2608, 1974,
1347, 788, 352, 81, 1, 121, 428, 893, 1471, 2104,
2733, 3294, 3734, 4010, 4094, 3980, 3677, 3215, 2639, 2006,
1377, 813, 370, 90, 0, 111, 410, 868, 1442, 2074,
2704, 3270, 3717, 4001, 4095, 3989, 3694, 3238, 2666, 2034,
1403, 835, 385, 98, 0, 102, 394, 847, 1417, 2049,
2680, 3250, 3703, 3994, 4095, 3996, 3708, 3257, 2688, 2057,
1425, 854, 399, 105, 0, 95, 381, 830, 1397, 2028,
2661, 3234, 3691, 3987, 4095, 4002, 3719, 3273, 2706, 2076,
1443, 868, 409, 110, 0, 90, 371, 816, 1381, 2011,
2645, 3220, 3681, 3982, 4095, 4007, 3728, 3284, 2720, 2090,
1456, 880, 418, 115, 1, 86, 364, 806, 1370, 1999,
2634, 3211, 3674, 3979, 4094, 4010, 3734, 3292, 2729, 2100,
1465, 887, 423, 117, 1, 84, 359, 800, 1362, 1992,
2627, 3205, 3670, 3977, 4094, 4012, 3737, 3297, 2735, 2105,
1470, 891, 426, 119, 1, 83, 357, 797, 1360, 1989,
2624, 3203, 3669, 3976, 4094, 4012, 3738, 3298, 2735, 2106,
1470, 891, 426, 119, 1, 83, 358, 798, 1361, 1991,
2626, 3205, 3670, 3977, 4094, 4011, 3736, 3295, 2732, 2102,
1466, 888, 423, 117, 1, 85, 361, 803, 1366, 1997,
2632, 3210, 3674, 3979, 4094, 4009, 3731, 3289, 2724, 2093,
1458, 881, 417, 114, 0, 88, 367, 811, 1376, 2008,
2643, 3220, 3681, 3983, 4095, 4006, 3724, 3279, 2712, 2080,
1445, 870, 409, 110, 0, 92, 375, 823, 1390, 2023,
2657, 3232, 3691, 3988, 4095, 4001, 3715, 3265, 2696, 2063,
1429, 855, 398, 104, 0, 97, 386, 838, 1409, 2042,
2676, 3249, 3703, 3995, 4095, 3994, 3702, 3248, 2675, 2041,
1407, 837, 385, 97, 0, 105, 400, 857, 1432, 2067,
2700, 3269, 3718, 4002, 4095, 3986, 3687, 3226, 2650, 2014,
1382, 815, 369, 89, 0, 114, 417, 881, 1459, 2096,
2727, 3292, 3734, 4011, 4094, 3976, 3668, 3201, 2621, 1983,
1353, 790, 351, 79, 1, 124, 437, 908, 1491, 2129,
2759, 3319, 3753, 4020, 4093, 3964, 3647, 3172, 2586, 1948,
1319, 762, 331, 70, 3, 137, 460, 939, 1527, 2167,
2794, 3348, 3774, 4030, 4091, 3950, 3622, 3139, 2548, 1908,
1281, 730, 309, 60, 6, 153, 487, 975, 1568, 2209,
2834, 3381, 3797, 4041, 4088, 3934, 3594, 3101, 2505, 1863,
1240, 696, 286, 49, 9, 171, 517, 1014, 1614, 2256,
2877, 3417, 3821, 4051, 4083, 3914, 3561, 3059, 2457, 1814,
1195, 659, 261, 39, 15, 191, 551, 1059, 1664, 2307,
2924, 3455, 3847, 4061, 4077, 3892, 3525, 3012, 2404, 1761,
1146, 620, 235, 29, 22, 215, 590, 1108, 1719, 2362,
2975, 3495, 3873, 4071, 4068, 3866, 3485, 2961, 2347, 1704,
1094, 579, 208, 20, 32, 243, 632, 1161, 1778, 2422,
3028, 3538, 3900, 4079, 4058, 3837, 3440, 2905, 2285, 1642,
1039, 535, 181, 12, 44, 274, 679, 1220, 1843, 2486,
3085, 3582, 3927, 4086, 4044, 3804, 3390, 2844, 2218, 1576,
980, 490, 154, 6, 59, 309, 731, 1284, 1912, 2553,
3145, 3627, 3954, 4092, 4027, 3766, 3336, 2777, 2147, 1507,
920, 444, 128, 2, 78, 349, 788, 1353, 1986, 2625,
3207, 3674, 3980, 4095, 4006, 3724, 3276, 2706, 2071, 1433,
857, 398, 103, 0, 100, 394, 851, 1427, 2064, 2700,
3271, 3721, 4005, 4095, 3982, 3677, 3211, 2629, 1990, 1357,
792, 351, 79, 1, 127, 443, 919, 1506, 2147, 2778,
3337, 3767, 4028, 4091, 3953, 3625, 3140, 2548, 1905, 1277,
725, 304, 57, 7, 159, 499, 992, 1590, 2234, 2859,
3404, 3814, 4048, 4084, 3918, 3566, 3064, 2460, 1816, 1194,
658, 259, 38, 16, 196, 560, 1072, 1680, 2325, 2943,
3471, 3859, 4066, 4073, 3878, 3502, 2981, 2368, 1722, 1109,
590, 214, 22, 30, 239, 627, 1157, 1775, 2421, 3029,
3539, 3902, 4080, 4056, 3832, 3431, 2893, 2270, 1625, 1023,
522, 172, 10, 49, 288, 701, 1249, 1876, 2519, 3116,
3607, 3943, 4090, 4034, 3780, 3354, 2798, 2167, 1525, 934,
454, 133, 2, 75, 344, 782, 1347, 1981, 2622, 3205,
3674, 3980, 4095, 4005, 3721, 3270, 2697, 2060, 1421, 845,
389, 97, 0, 107, 407, 870, 1450, 2091, 2726, 3294,
3738, 4014, 4094, 3970, 3654, 3179, 2590, 1948, 1315, 756,
325, 66, 4, 146, 477, 965, 1561, 2205, 2833, 3384,
3801, 4043, 4086, 3927, 3580, 3080, 2477, 1832, 1208, 667,
265, 40, 15, 193, 556, 1067, 1677, 2323, 2942, 3472,
3859, 4066, 4072, 3876, 3497, 2974, 2358, 1712, 1098, 580,
208, 19, 33, 248, 642, 1177, 1798, 2445, 3051, 3558,
3914, 4083, 4050, 3816, 3406, 2861, 2234, 1588, 989, 495,
156, 6, 60, 312, 737, 1294, 1926, 2569, 3161, 3642,
3963, 4093, 4019, 3748, 3307, 2740, 2104, 1462, 879, 413,
110, 0, 95, 385, 841, 1418, 2058, 2696, 3270, 3722,
4006, 4095, 3978, 3669, 3198, 2612, 1969, 1335, 771, 335,
70, 3, 140, 468, 954, 1549, 2194, 2825, 3377, 3797,
4042, 4087, 3928, 3581, 3081, 2477, 1831, 1206, 665, 262,
39, 16, 196, 562, 1076, 1687, 2335, 2954, 3482, 3867,
4069, 4069, 3867, 3483, 2955, 2336, 1689, 1077, 562, 196,
16, 38, 262, 665, 1206, 1832, 2478, 3082, 3583, 3929,
4087, 4041, 3795, 3374, 2820, 2189, 1544, 949, 464, 138,
3, 73, 340, 779, 1345, 1981, 2624, 3209, 3678, 3983,
4095, 4001, 3711, 3255, 2678, 2037, 1397, 823, 371, 88,
1, 119, 430, 904, 1492, 2136, 2771, 3334, 3767, 4028,
4091, 3949, 3616, 3125, 2527, 1880, 1250, 701, 286, 48,
10, 177, 532, 1039, 1646, 2295, 2918, 3454, 3849, 4063,
4075, 3883, 3507, 2985, 2369, 1720, 1104, 583, 209, 19,
33, 250, 646, 1184, 1808, 2456, 3063, 3569, 3921, 4085,
4045, 3804, 3387, 2835, 2204, 1557, 960, 472, 142, 3,
70, 336, 773, 1339, 1975, 2619, 3206, 3676, 3983, 4095,
4001, 3711, 3254, 2675, 2034, 1394, 819, 368, 86, 1,
121, 436, 912, 1503, 2148, 2783, 3344, 3775, 4032, 4090,
3942, 3604, 3109, 2507, 1859, 1230, 684, 274, 43, 13,
188, 550, 1063, 1675, 2324, 2946, 3477, 3864, 4069, 4070,
3867, 3482, 2952, 2331, 1682, 1069, 555, 191, 14, 42,
271, 680, 1226, 1855, 2503, 3105, 3601, 3941, 4090, 4033,
3776, 3345, 2784, 2148, 1502, 911, 435, 121, 1, 87,
370, 823, 1399, 2040, 2682, 3260, 3716, 4004, 4095, 3979,
3669, 3195, 2606, 1960, 1323, 760, 326, 65, 4, 150,
486, 980, 1582, 2230, 2861, 3409, 3820, 4052, 4082, 3907,
3544, 3031, 2418, 1768, 1146, 615, 229, 26, 26, 231,
619, 1151, 1773, 2424, 3036, 3548, 3909, 4083, 4051, 3816,
3404, 2854, 2223, 1574, 973, 481, 146, 4, 68, 331,
768, 1334, 1972, 2618, 3206, 3677, 3984, 4095, 3999, 3707,
3247, 2665, 2022, 1381, 807, 359, 81, 1, 129, 450,
933, 1528, 2176, 2810, 3368, 3792, 4040, 4087, 3928, 3578,
3074, 2466, 1816, 1189, 649, 250, 33, 20, 211, 588,
1113, 1732, 2383, 3000, 3521, 3892, 4078, 4058, 3835, 3431,
2887, 2259, 1609, 1003, 503, 159, 6, 60, 314, 744,
1306, 1943, 2590, 3183, 3660, 3975, 4094, 4007, 3721, 3266,
2687, 2044, 1401, 824, 370, 86, 1, 123, 439, 919,
1512, 2160, 2797, 3357, 3785, 4037, 4088, 3932, 3586, 3083,
2476, 1825, 1197, 655, 254, 34, 19, 209, 585, 1109,
1729, 2380, 2998, 3520, 3892, 4078, 4058, 3834, 3429, 2884,
2255, 1604, 998, 499, 156, 6, 62, 319, 751, 1315,
1953, 2601, 3193, 3668, 3979, 4095, 4002, 3712, 3253, 2672,
2027, 1384, 809, 359, 81, 1, 130, 453, 937, 1535,
2184, 2819, 3376, 3799, 4044, 4086, 3921, 3567, 3058, 2447,
1795, 1169, 632, 238, 29, 24, 224, 610, 1141, 1765,
2417, 3032, 3546, 3909, 4083, 4050, 3814, 3398, 2845, 2212,
1561, 960, 470, 139, 3, 74, 345, 789, 1361, 2003,
2650, 3235, 3699, 3996, 4095, 3986, 3680, 3208, 2618, 1970,
1330, 763, 327, 65, 5, 152, 492, 990, 1595, 2247,
2878, 3425, 3832, 4057, 4078, 3893, 3520, 2998, 2378, 1726,
1105, 581, 206, 18, 36, 259, 664, 1209, 1840, 2492,
3099, 3598, 3940, 4090, 4032, 3771, 3336, 2769, 2129, 1481,
890, 417, 110, 0, 98, 395, 860, 1446, 2093, 2735,
3307, 3752, 4022, 4092, 3954, 3621, 3129, 2526, 1875, 1241,
689, 276, 43, 14, 192, 559, 1078, 1695, 2349, 2971,
3500, 3881, 4075, 4062, 3844, 3444, 2901, 2271, 1618, 1009,
506, 160, 6, 60, 317, 750, 1315, 1955, 2604, 3197,
3672, 3982, 4095, 3999, 3704, 3240, 2655, 2007, 1364, 791,
345, 73, 3, 141, 473, 966, 1569, 2221, 2855, 3407,
3820, 4053, 4081, 3901, 3533, 3013, 2394, 1740, 1118, 590,
211, 19, 34, 255, 659, 1204, 1835, 2488, 3096, 3597,
3940, 4090, 4031, 3770, 3333, 2765, 2123, 1474, 883, 411,
107, 0, 102, 403, 872, 1461, 2110, 2752, 3323, 3763,
4028, 4091, 3945, 3605, 3106, 2499, 1846, 1214, 666, 260,
36, 18, 207, 584, 1111, 1733, 2388, 3007, 3529, 3899,
4080, 4054, 3822, 3409, 2856, 2221, 1569, 965, 472, 140,
3, 75, 348, 796, 1371, 2016, 2664, 3248, 3711, 4003,
4095, 3977, 3663, 3183, 2587, 1936, 1296, 733, 305, 55,
8, 171, 525, 1035, 1649, 2303, 2932, 3470, 3862, 4069,
4069, 3862, 3469, 2931, 2302, 1648, 1034, 524, 170, 8,
55, 306, 735, 1299, 1939, 2590, 3186, 3665, 3979, 4095,
4001, 3707, 3243, 2657, 2008, 1363, 789, 343, 72, 3,
144, 479, 976, 1582, 2236, 2870, 3420, 3830, 4057, 4078,
3891, 3515, 2989, 2366, 1710, 1089, 567, 196, 15, 42,
275, 689, 1243, 1879, 2533, 3137, 3629, 3959, 4093, 4017,
3740, 3288, 2710, 2063, 1415, 832, 374, 87, 1, 125,
446, 932, 1532, 2185, 2824, 3383, 3805, 4047, 4084, 3911,
3548, 3030, 2412, 1756, 1130, 599, 215, 20, 33, 253,
657, 1204, 1837, 2492, 3101, 3602, 3944, 4091, 4028, 3761,
3319, 2746, 2102, 1451, 862, 395, 97, 0, 113, 425,
903, 1499, 2151, 2793, 3358, 3788, 4040, 4087, 3924, 3569,
3057, 2441, 1785, 1156, 619, 228, 24, 29, 240, 638,
1180, 1812, 2468, 3080, 3587, 3935, 4089, 4033, 3773, 3336,
2766, 2122, 1471, 879, 407, 103, 0, 107, 414, 889,
1483, 2135, 2778, 3346, 3780, 4037, 4088, 3930, 3577, 3068,
2453, 1797, 1167, 627, 233, 26, 27, 236, 632, 1173,
1804, 2460, 3074, 3582, 3932, 4089, 4035, 3776, 3340, 2770,
2126, 1474, 881, 408, 104, 0, 107, 414, 889, 1483,
2136, 2779, 3347, 3782, 4037, 4088, 3928, 3575, 3064, 2449,
1792, 1161, 622, 230, 25, 28, 240, 638, 1181, 1813,
2470, 3083, 3589, 3937, 4090, 4032, 3769, 3330, 2758, 2112,
1460, 869, 399, 99, 0, 112, 424, 903, 1500, 2154,
2796, 3362, 3792, 4042, 4086, 3920, 3561, 3045, 2427, 1770,
1141, 606, 219, 21, 32, 252, 656, 1204, 1839, 2496,
3106, 3607, 3947, 4091, 4024, 3753, 3306, 2729, 2082, 1431,
843, 380, 89, 1, 123, 445, 932, 1534, 2189, 2830,
3389, 3811, 4050, 4082, 3904, 3535, 3011, 2389, 1730, 1105,
577, 201, 16, 40, 272, 688, 1244, 1883, 2539, 3144,
3636, 3964, 4094, 4012, 3727, 3269, 2684, 2034, 1384, 804,
352, 75, 3, 141, 477, 975, 1584, 2241, 2878, 3429,
3837, 4060, 4075, 3880, 3496, 2962, 2333, 1674, 1055, 538,
177, 9, 53, 303, 733, 1300, 1943, 2598, 3196, 3675,
3985, 4095, 3993, 3690, 3216, 2622, 1968, 1323, 752, 316,
58, 7, 167, 522, 1034, 1652, 2310, 2942, 3480, 3871,
4072, 4064, 3847, 3444, 2896, 2260, 1602, 990, 488, 147,
3, 71, 344, 793, 1372, 2022, 2673, 3260, 3722, 4009,
4094, 3966, 3640, 3148, 2543, 1886, 1246, 689, 272, 40,
16, 202, 580, 1110, 1737, 2396, 3019, 3542, 3909, 4084,
4047, 3803, 3376, 2812, 2169, 1513, 913, 430, 115, 0,
98, 398, 869, 1463, 2117, 2764, 3336, 3775, 4035, 4088,
3930, 3576, 3064, 2446, 1787, 1155, 615, 224, 23, 31,
249, 654, 1203, 1840, 2498, 3110, 3612, 3951, 4092, 4021,
3745, 3293, 2712, 2061, 1409, 824, 365, 81, 2, 135,
466, 962, 1571, 2229, 2868, 3422, 3834, 4059, 4076, 3882,
3497, 2962, 2331, 1671, 1051, 533, 173, 8, 55, 309,
744, 1314, 1960, 2616, 3212, 3688, 3992, 4095, 3985, 3673,
3192, 2592, 1936, 1291, 725, 296, 50, 11, 184, 551,
1074, 1697, 2358, 2986, 3516, 3894, 4080, 4054, 3819, 3400,
2840, 2198, 1540, 935, 446, 123, 1, 91, 385, 853,
1444, 2099, 2748, 3324, 3767, 4032, 4089, 3935, 3583, 3072,
2454, 1794, 1160, 619, 226, 23, 31, 249, 654, 1204,
1843, 2502, 3114, 3615, 3953, 4092, 4019, 3739, 3284, 2700,
2047, 1395, 811, 355, 76, 3, 142, 480, 981, 1594,
2254, 2892, 3442, 3847, 4064, 4072, 3868, 3474, 2932, 2297,
1636, 1019, 508, 158, 5, 65, 332, 778, 1356, 2006,
2661, 3251, 3716, 4007, 4094, 3967, 3640, 3147, 2539, 1880,
1238, 681, 266, 37, 18, 211, 595, 1131, 1763, 2424,
3046, 3564, 3923, 4087, 4038, 3781, 3343, 2770, 2121, 1465,
869, 397, 97, 0, 118, 436, 924, 1528, 2187, 2831,
3393, 3815, 4052, 4080, 3896, 3518, 2987, 2358, 1696, 1071,
548, 181, 10, 52, 302, 734, 1304, 1951, 2609, 3208,
3685, 3992, 4095, 3984, 3671, 3188, 2586, 1927, 1282, 716,
289, 46, 13, 192, 565, 1093, 1721, 2384, 3010, 3537,
3907, 4083, 4046, 3801, 3371, 2803, 2157, 1498, 897, 417,
107, 0, 107, 418, 898, 1499, 2158, 2805, 3372, 3801,
4047, 4083, 3906, 3535, 3008, 2380, 1718, 1090, 562, 190,
12, 47, 292, 721, 1288, 1935, 2594, 3195, 3677, 3987,
4095, 3988, 3678, 3197, 2596, 1937, 1290, 722, 293, 48,
12, 189, 562, 1089, 1717, 2380, 3008, 3535, 3907, 4083,
4046, 3800, 3370, 2802, 2154, 1495, 894, 414, 105, 0,
109, 422, 905, 1508, 2167, 2814, 3380, 3807, 4049, 4082,
3901, 3525, 2995, 2365, 1702, 1075, 551, 183, 10, 52,
302, 736, 1308, 1957, 2615, 3214, 3691, 3995, 4095, 3980,
3662, 3175, 2569, 1909, 1263, 700, 278, 41, 16, 203,
584, 1119, 1751, 2414, 3039, 3560, 3922, 4087, 4038, 3780,
3340, 2764, 2113, 1455, 860, 389, 92, 1, 124, 450,
943, 1553, 2214, 2858, 3417, 3832, 4059, 4075, 3878, 3489,
2948, 2313, 1649, 1028, 513, 160, 5, 65, 333, 782,
1363, 2016, 2673, 3264, 3727, 4013, 4093, 3958, 3622, 3120,
2506, 1843, 1202, 650, 244, 29, 25, 235, 635, 1183,
1823, 2486, 3103, 3609, 3951, 4092, 4019, 3738, 3279, 2691,
2035, 1380, 795, 343, 69, 4, 154, 503, 1015, 1635,
2299, 2936, 3480, 3873, 4074, 4061, 3837, 3424, 2866, 2222,
1560, 949, 453, 126, 1, 91, 388, 859, 1455, 2114,
2766, 3342, 3782, 4039, 4086, 3919, 3554, 3031, 2404, 1740,
1107, 574, 197, 14, 45, 288, 716, 1284, 1933, 2594,
3197, 3679, 3989, 4095, 3985, 3670, 3185, 2579, 1918, 1270,
704, 280, 42, 16, 203, 586, 1122, 1756, 2421, 3046,
3566, 3926, 4088, 4035, 3771, 3326, 2747, 2093, 1435, 841,
374, 84, 1, 135, 469, 971, 1586, 2250, 2892, 3445,
3851, 4067, 4069, 3858, 3456, 2905, 2264, 1600, 983, 478,
139, 2, 81, 367, 831, 1423, 2081, 2736, 3318, 3765,
4032, 4089, 3930, 3573, 3054, 2429, 1764, 1128, 590, 206,
16, 41, 278, 702, 1268, 1916, 2578, 3185, 3671, 3985,
4095, 3988, 3677, 3193, 2588, 1926, 1276, 709, 283, 43,
15, 202, 584, 1121, 1756, 2422, 3048, 3568, 3928, 4088,
4033, 3768, 3321, 2739, 2084, 1425, 832, 368, 81, 2,
140, 479, 984, 1602, 2267, 2909, 3459, 3861, 4070, 4065,
3847, 3439, 2883, 2239, 1574, 960, 460, 129, 1, 89,
385, 857, 1454, 2115, 2768, 3345, 3785, 4041, 4086, 3914,
3546, 3018, 2388, 1722, 1090, 559, 187, 11, 51, 302,
739, 1314, 1967, 2628, 3228, 3703, 4002, 4094, 3970, 3642,
3145, 2531, 1867, 1221, 663, 252, 31, 24, 231, 631,
1181, 1823, 2488, 3107, 3614, 3955, 4093, 4014, 3727, 3262,
2668, 2008, 1353, 771, 324, 60, 7, 170, 533, 1056,
1684, 2351, 2985, 3521, 3899, 4082, 4048, 3803, 3371, 2798,
2146, 1484, 881, 402, 98, 0, 120, 444, 939, 1551,
2216, 2863, 3423, 3838, 4062, 4073, 3868, 3470, 2922, 2280,
1614, 993, 485, 143, 2, 79, 365, 830, 1424, 2084,
2741, 3323, 3770, 4035, 4088, 3924, 3561, 3037, 2408, 1741,
1106, 572, 194, 13, 48, 296, 729, 1303, 1957, 2619,
3221, 3699, 4000, 4094, 3971, 3643, 3146, 2531, 1866, 1219,
661, 250, 30, 25, 235, 637, 1190, 1833, 2500, 3118,
3623, 3960, 4094, 4010, 3717, 3247, 2649, 1987, 1332, 752,
311, 54, 10, 182, 553, 1082, 1715, 2383, 3015, 3544,
3914, 4086, 4040, 3782, 3340, 2760, 2104, 1443, 845, 376,
84, 2, 137, 476, 982, 1601, 2269, 2912, 3464, 3864,
4072, 4063, 3840, 3426, 2865, 2217, 1551, 938, 443, 119,
0, 100, 407, 888, 1494, 2158, 2810, 3382, 3811, 4052,
4080, 3891, 3505, 2965, 2326, 1658, 1031, 513, 158, 5,
69, 344, 801, 1391, 2051, 2710, 3299, 3754, 4028, 4090,
3934, 3577, 3057, 2430, 1761, 1123, 584, 201, 14, 45,
289, 721, 1294, 1948, 2612, 3216, 3696, 3999, 4095, 3971,
3643, 3144, 2529, 1861, 1214, 656, 246, 29, 26, 240,
647, 1203, 1849, 2517, 3134, 3636, 3967, 4094, 4003, 3702,
3225, 2622, 1958, 1303, 728, 294, 47, 13, 197, 579,
1117, 1755, 2424, 3053, 3574, 3933, 4090, 4028, 3755, 3300,
2711, 2051, 1390, 800, 343, 68, 5, 160, 517, 1037,
1666, 2335, 2973, 3513, 3896, 4081, 4049, 3803, 3369, 2794,
2139, 1474, 871, 393, 92, 1, 128, 460, 963, 1581,
2249, 2896, 3452, 3857, 4069, 4065, 3845, 3433, 2872, 2223,
1556, 941, 444, 119, 0, 101, 409, 893, 1501, 2167,
2820, 3391, 3818, 4055, 4078, 3883, 3491, 2945, 2303, 1634,
1009, 495, 147, 3, 78, 363, 829, 1426, 2089, 2748,
3331, 3777, 4038, 4086, 3915, 3545, 3014, 2379, 1709, 1075,
545, 176, 8, 58, 322, 770, 1355, 2015, 2678, 3273,
3737, 4020, 4092, 3944, 3593, 3077, 2450, 1780, 1139, 595,
207, 16, 43, 285, 716, 1290, 1945, 2611, 3217, 3697,
4000, 4094, 3969, 3637, 3135, 2516, 1847, 1200, 643, 237,
25, 30, 252, 666, 1229, 1879, 2547, 3162, 3657, 3980,
4095, 3990, 3677, 3189, 2579, 1911, 1258, 690, 267, 36,
20, 223, 621, 1172, 1817, 2487, 3110, 3619, 3959, 4094,
4009, 3713, 3239, 2636, 1971, 1313, 735, 297, 48, 13,
197, 580, 1120, 1760, 2431, 3061, 3582, 3938, 4091, 4024,
3745, 3284, 2690, 2026, 1365, 778, 326, 60, 8, 174,
542, 1072, 1707, 2378, 3014, 3546, 3917, 4087, 4037, 3774,
3325, 2739, 2078, 1414, 818, 355, 73, 4, 155, 509,
1029, 1658, 2329, 2970, 3512, 3896, 4082, 4048, 3799, 3362,
2783, 2125, 1459, 856, 381, 86, 2, 137, 479, 989,
1613, 2284, 2930, 3480, 3877, 4076, 4057, 3822, 3395, 2824,
2169, 1501, 891, 407, 98, 0, 123, 452, 954, 1573,
2243, 2893, 3451, 3858, 4070, 4064, 3841, 3425, 2860, 2208,
1538, 924, 430, 111, 0, 110, 429, 922, 1537, 2206,
2859, 3424, 3841, 4064, 4070, 3858, 3451, 2893, 2243, 1572,
953, 451, 122, 0, 99, 408, 894, 1504, 2173, 2829,
3400, 3825, 4058, 4075, 3873, 3474, 2921, 2274, 1602, 979,
471, 133, 1, 90, 391, 870, 1476, 2144, 2802, 3378,
3811, 4053, 4079, 3885, 3493, 2946, 2301, 1629, 1002, 488,
142, 2, 83, 376, 849, 1452, 2119, 2779, 3359, 3798,
4048, 4081, 3896, 3510, 2966, 2324, 1651, 1021, 502, 150,
3, 77, 364, 832, 1432, 2099, 2760, 3344, 3788, 4043,
4084, 3904, 3523, 2983, 2342, 1669, 1037, 514, 157, 4,
72, 354, 819, 1416, 2082, 2744, 3331, 3779, 4040, 4085,
3910, 3534, 2997, 2357, 1684, 1050, 524, 162, 5, 69,
346, 808, 1404, 2069, 2732, 3321, 3773, 4037, 4086, 3915,
3542, 3006, 2367, 1694, 1059, 530, 166, 6, 66, 341,
801, 1396, 2061, 2725, 3315, 3768, 4035, 4087, 3918, 3546,
3012, 2374, 1700, 1064, 534, 169, 6, 65, 338, 797,
1391, 2056, 2721, 3312, 3766, 4034, 4087, 3919, 3548, 3015,
2376, 1702, 1066, 536, 169, 6, 65, 338, 796, 1391,
2056, 2720, 3312, 3766, 4035, 4087, 3919, 3548, 3014, 2375,
1701, 1064, 534, 168, 6, 65, 340, 799, 1394, 2060,
2724, 3315, 3769, 4036, 4087, 3917, 3544, 3009, 2369, 1695,
1059, 530, 166, 6, 67, 344, 805, 1401, 2067, 2732,
3322, 3773, 4038, 4086, 3913, 3538, 3000, 2360, 1685, 1050,
523, 162, 5, 70, 350, 814, 1412, 2079, 2743, 3331,
3780, 4041, 4085, 3908, 3528, 2988, 2346, 1671, 1038, 513,
156, 4, 74, 358, 826, 1427, 2095, 2758, 3344, 3789,
4044, 4083, 3900, 3516, 2973, 2328, 1654, 1022, 501, 149,
3, 79, 369, 842, 1446, 2115, 2777, 3360, 3800, 4049,
4081, 3891, 3501, 2953, 2307, 1632, 1002, 486, 140, 2,
86, 383, 862, 1469, 2139, 2800, 3379, 3812, 4054, 4077,
3880, 3483, 2930, 2281, 1606, 980, 469, 131, 1, 94,
399, 884, 1496, 2168, 2826, 3400, 3827, 4060, 4073, 3867,
3462, 2903, 2251, 1576, 954, 450, 120, 0, 103, 418,
911, 1527, 2200, 2856, 3425, 3843, 4066, 4068, 3851, 3437,
2872, 2217, 1543, 924, 428, 108, 0, 115, 440, 941,
1562, 2236, 2890, 3452, 3860, 4071, 4062, 3833, 3409, 2837,
2178, 1506, 892, 405, 96, 1, 128, 465, 975, 1601,
2276, 2927, 3481, 3879, 4077, 4054, 3812, 3377, 2798, 2136,
1465, 857, 379, 84, 2, 144, 493, 1013, 1645, 2321,
2967, 3513, 3899, 4083, 4044, 3788, 3342, 2754, 2089, 1420,
819, 352, 71, 5, 162, 525, 1054, 1692, 2369, 3010,
3547, 3919, 4088, 4033, 3761, 3303, 2707, 2039, 1372, 779,
324, 58, 9, 183, 560, 1101, 1744, 2421, 3057, 3582,
3940, 4091, 4019, 3731, 3259, 2655, 1984, 1320, 736, 295,
46, 15, 207, 600, 1151, 1800, 2477, 3106, 3620, 3962,
4094, 4003, 3697, 3212, 2599, 1925, 1265, 691, 265, 34,
23, 234, 643, 1206, 1861, 2536, 3158, 3658, 3983, 4095,
3983, 3660, 3160, 2538, 1863, 1208, 644, 235, 23, 34,
264, 690, 1265, 1925, 2599, 3212, 3698, 4003, 4094, 3961,
3618, 3104, 2473, 1796, 1147, 596, 204, 14, 47, 299,
742, 1329, 1994, 2665, 3268, 3738, 4023, 4091, 3935, 3572,
3042, 2404, 1726, 1083, 546, 174, 7, 64, 338, 799,
1397, 2067, 2734, 3327, 3779, 4041, 4084, 3905, 3521, 2976,
2330, 1652, 1018, 496, 145, 2, 84, 381, 861, 1471,
2144, 2807, 3386, 3819, 4057, 4075, 3870, 3466, 2906, 2251,
1575, 950, 445, 117, 0, 108, 429, 927, 1549, 2225,
2882, 3447, 3858, 4071, 4062, 3831, 3405, 2830, 2168, 1494,
880, 395, 90, 1, 137, 482, 999, 1632, 2310, 2959,
3508, 3897, 4082, 4045, 3787, 3339, 2749, 2081, 1410, 809,
344, 66, 6, 170, 541, 1077, 1719, 2398, 3038, 3570,
3934, 4090, 4023, 3738, 3267, 2662, 1990, 1324, 738, 295,
45, 15, 209, 605, 1159, 1812, 2490, 3119, 3631, 3968,
4095, 3996, 3683, 3190, 2571, 1895, 1235, 665, 247, 27,
29, 254, 675, 1248, 1908, 2584, 3201, 3691, 4000, 4094,
3963, 3621, 3106, 2475, 1796, 1145, 593, 202, 13, 49,
304, 752, 1342, 2010, 2682, 3284, 3750, 4028, 4089, 3925,
3554, 3017, 2373, 1694, 1053, 522, 159, 4, 74, 362,
835, 1442, 2115, 2781, 3366, 3806, 4053, 4078, 3879, 3479,
2921, 2267, 1588, 960, 452, 120, 0, 106, 426, 924,
1547, 2224, 2883, 3449, 3860, 4072, 4061, 3827, 3398, 2819,
2156, 1480, 867, 384, 85, 2, 145, 497, 1021, 1658,
2337, 2985, 3530, 3911, 4086, 4036, 3768, 3309, 2711, 2040,
1370, 774, 319, 55, 11, 191, 576, 1124, 1773, 2453,
3088, 3609, 3956, 4094, 4005, 3700, 3213, 2597, 1920, 1258,
682, 258, 31, 26, 245, 663, 1234, 1894, 2572, 3192,
3685, 3997, 4094, 3965, 3625, 3110, 2477, 1797, 1145, 592,
201, 13, 50, 308, 758, 1350, 2020, 2693, 3294, 3758,
4032, 4087, 3917, 3540, 2999, 2352, 1671, 1032, 505, 149,
3, 82, 379, 861, 1473, 2150, 2814, 3395, 3826, 4060,
4072, 3860, 3448, 2880, 2221, 1542, 919, 421, 103, 0,
124, 460, 972, 1603, 2283, 2937, 3493, 3889, 4081, 4048,
3793, 3346, 2755, 2085, 1412, 808, 342, 65, 7, 175,
550, 1091, 1738, 2419, 3059, 3587, 3945, 4092, 4013, 3717,
3235, 2622, 1945, 1280, 700, 268, 34, 23, 236, 650,
1219, 1879, 2558, 3180, 3677, 3994, 4095, 3969, 3630, 3115,
2483, 1802, 1148, 594, 201, 13, 50, 309, 760, 1354,
2025, 2698, 3299, 3762, 4034, 4087, 3913, 3532, 2987, 2337,
1656, 1018, 494, 142, 2, 88, 392, 879, 1496, 2175,
2839, 3415, 3840, 4065, 4067, 3845, 3424, 2850, 2186, 1508,
889, 399, 91, 1, 138, 487, 1009, 1646, 2328, 2979,
3526, 3909, 4086, 4036, 3766, 3305, 2704, 2030, 1359, 763,
311, 51, 13, 200, 593, 1148, 1802, 2483, 3117, 3631,
3970, 4095, 3992, 3674, 3175, 2551, 1871, 1210, 643, 231,
21, 37, 276, 711, 1296, 1963, 2640, 3252, 3729, 4020,
4091, 3935, 3570, 3035, 2390, 1708, 1063, 527, 161, 4,
75, 364, 841, 1452, 2129, 2798, 3382, 3819, 4058, 4074,
3864, 3453, 2885, 2224, 1543, 919, 420, 102, 0, 127,
467, 982, 1617, 2299, 2953, 3507, 3898, 4083, 4042, 3779,
3323, 2725, 2052, 1378, 779, 321, 55, 11, 193, 582,
1135, 1788, 2471, 3106, 3624, 3966, 4095, 3995, 3679, 3181,
2557, 1876, 1214, 645, 232, 22, 37, 276, 712, 1297,
1966, 2644, 3255, 3732, 4021, 4091, 3932, 3564, 3027, 2381,
1697, 1053, 519, 156, 3, 79, 374, 855, 1469, 2148,
2816, 3398, 3829, 4062, 4070, 3853, 3435, 2862, 2198, 1517,
896, 402, 93, 1, 138, 487, 1011, 1650, 2333, 2985,
3532, 3914, 4087, 4033, 3757, 3291, 2686, 2010, 1337, 745,
297, 45, 16, 214, 617, 1179, 1838, 2520, 3150, 3657,
3984, 4095, 3977, 3644, 3133, 2501, 1818, 1160, 602, 205,
14, 49, 308, 761, 1358, 2032, 2707, 3309, 3770, 4039,
4085, 3903, 3515, 2962, 2308, 1624, 987, 469, 128, 0,
102, 421, 921, 1548, 2230, 2892, 3459, 3869, 4075, 4055,
3810, 3369, 2779, 2108, 1430, 821, 349, 67, 6, 174,
551, 1095, 1746, 2430, 3072, 3599, 3953, 4093, 4005, 3698,
3206, 2585, 1904, 1238, 663, 243, 25, 33, 266, 699,
1282, 1951, 2631, 3246, 3726, 4019, 4091, 3935, 3567, 3029,
2382, 1697, 1051, 517, 154, 3, 81, 379, 863, 1481,
2161, 2829, 3410, 3838, 4065, 4067, 3842, 3417, 2838, 2171,
1490, 871, 384, 83, 3, 151, 512, 1044, 1689, 2375,
3023, 3563, 3932, 4091, 4020, 3729, 3249, 2635, 1955, 1285,
700, 267, 33, 25, 243, 664, 1240, 1906, 2588, 3210,
3701, 4007, 4093, 3950, 3594, 3064, 2421, 1735, 1085, 542,
168, 5, 71, 359, 836, 1448, 2128, 2799, 3386, 3822,
4060, 4072, 3856, 3438, 2864, 2198, 1515, 892, 399, 90,
1, 142, 496, 1025, 1668, 2354, 3005, 3549, 3925, 4089,
4025, 3739, 3263, 2650, 1970, 1298, 711, 274, 35, 23,
238, 656, 1230, 1896, 2579, 3203, 3696, 4005, 4093, 3952,
3597, 3068, 2425, 1738, 1087, 544, 169, 5, 71, 359,
836, 1450, 2131, 2802, 3389, 3825, 4061, 4071, 3853, 3433,
2857, 2190, 1507, 885, 393, 87, 2, 146, 505, 1036,
1682, 2368, 3018, 3560, 3931, 4091, 4020, 3728, 3247, 2631,
1950, 1279, 695, 263, 31, 27, 249, 674, 1254, 1922,
2605, 3225, 3713, 4013, 4092, 3941, 3577, 3041, 2394, 1707,
1058, 521, 156, 3, 81, 380, 866, 1486, 2169, 2838,
3418, 3844, 4068, 4064, 3833, 3402, 2818, 2147, 1465, 848,
367, 75, 5, 165, 537, 1079, 1730, 2417, 3063, 3594,
3951, 4093, 4005, 3697, 3203, 2578, 1894, 1227, 653, 235,
22, 37, 278, 719, 1310, 1983, 2664, 3276, 3749, 4030,
4088, 3916, 3533, 2983, 2327, 1640, 999, 476, 130, 0,
102, 422, 926, 1556, 2242, 2906, 3473, 3879, 4079, 4049,
3794, 3342, 2744, 2068, 1389, 784, 322, 54, 12, 199,
594, 1154, 1814, 2501, 3137, 3649, 3981, 4095, 3978, 3643,
3128, 2491, 1804, 1144, 587, 194, 10, 57, 328, 793,
1400, 2080, 2757, 3353, 3802, 4052, 4077, 3872, 3461, 2891,
2225, 1540, 911, 411, 96, 1, 137, 489, 1017, 1662,
2350, 3004, 3550, 3926, 4090, 4023, 3733, 3253, 2636, 1953,
1281, 695, 262, 31, 28, 253, 681, 1263, 1934, 2618,
3237, 3722, 4018, 4091, 3933, 3562, 3019, 2367, 1678, 1032,
500, 143, 1, 91, 402, 900, 1527, 2212, 2880, 3453,
3867, 4075, 4054, 3806, 3359, 2764, 2088, 1407, 798, 331,
58, 10, 193, 585, 1143, 1804, 2492, 3129, 3645, 3979,
4095, 3979, 3645, 3129, 2492, 1804, 1143, 585, 193, 10,
58, 332, 799, 1408, 2090, 2766, 3362, 3808, 4055, 4075,
3865, 3449, 2875, 2206, 1520, 894, 398, 89, 2, 146,
507, 1041, 1690, 2379, 3031, 3571, 3939, 4092, 4014, 3712,
3223, 2600, 1914, 1244, 664, 242, 24, 35, 275, 715,
1307, 1982, 2665, 3278, 3752, 4032, 4087, 3911, 3523, 2969,
2309, 1620, 980, 461, 121, 0, 111, 442, 955, 1592,
2281, 2943, 3503, 3899, 4084, 4039, 3767, 3300, 2691, 2010,
1332, 736, 288, 40, 20, 230, 646, 1222, 1891, 2578,
3204, 3700, 4008, 4093, 3946, 3584, 3047, 2396, 1707, 1055,
517, 152, 2, 85, 391, 884, 1510, 2197, 2867, 3444,
3862, 4074, 4056, 3810, 3363, 2767, 2090, 1407, 797, 330,
57, 11, 196, 591, 1152, 1815, 2504, 3141, 3654, 3985,
4095, 3972, 3631, 3110, 2468, 1778, 1119, 565, 180, 7,
66, 351, 828, 1444, 2129, 2804, 3394, 3830, 4063, 4068,
3842, 3413, 2828, 2154, 1468, 848, 365, 73, 5, 170,
548, 1097, 1755, 2445, 3090, 3617, 3965, 4095, 3992, 3667,
3159, 2523, 1834, 1169, 604, 203, 12, 53, 321, 785,
1393, 2076, 2755, 3354, 3804, 4054, 4075, 3866, 3450, 2873,
2203, 1515, 888, 393, 86, 2, 152, 517, 1057, 1710,
2401, 3052, 3588, 3949, 4093, 4005, 3693, 3194, 2564, 1875,
1206, 633, 221, 17, 45, 301, 756, 1358, 2039, 2720,
3326, 3785, 4046, 4080, 3882, 3474, 2904, 2237, 1547, 915,
412, 95, 1, 140, 497, 1031, 1680, 2372, 3026, 3569,
3938, 4092, 4012, 3709, 3215, 2589, 1901, 1229, 651, 232,
20, 40, 289, 738, 1337, 2017, 2700, 3309, 3774, 4042,
4082, 3890, 3488, 2921, 2255, 1565, 929, 422, 100, 1,
135, 487, 1018, 1666, 2358, 3014, 3560, 3933, 4091, 4016,
3715, 3224, 2599, 1911, 1238, 658, 236, 22, 38, 285,
733, 1330, 2010, 2695, 3305, 3771, 4041, 4083, 3892, 3490,
2924, 2257, 1567, 931, 423, 100, 1, 135, 488, 1019,
1667, 2360, 3016, 3562, 3935, 4091, 4015, 3713, 3221, 2594,
1905, 1233, 653, 233, 21, 40, 289, 739, 1339, 2020,
2704, 3313, 3777, 4043, 4082, 3887, 3482, 2913, 2244, 1554,
919, 414, 96, 1, 140, 498, 1033, 1684, 2377, 3032,
3574, 3942, 4092, 4009, 3701, 3204, 2575, 1885, 1213, 637,
223, 18, 45, 301, 757, 1361, 2044, 2727, 3333, 3791,
4049, 4078, 3875, 3462, 2887, 2216, 1526, 895, 397, 87,
2, 152, 519, 1060, 1716, 2409, 3060, 3596, 3954, 4094,
3999, 3680, 3175, 2540, 1848, 1180, 611, 206, 13, 53,
322, 788, 1399, 2084, 2765, 3364, 3812, 4057, 4072, 3855,
3431, 2847, 2172, 1483, 858, 370, 74, 5, 170, 550,
1102, 1763, 2456, 3102, 3628, 3972, 4095, 3983, 3649, 3132,
2490, 1797, 1133, 574, 184, 8, 66, 351, 832, 1452,
2140, 2818, 3407, 3840, 4068, 4063, 3827, 3387, 2793, 2113,
1426, 810, 336, 59, 10, 195, 593, 1158, 1825, 2518,
3157, 3668, 3993, 4094, 3961, 3607, 3075, 2424, 1730, 1073,
527, 156, 3, 84, 391, 889, 1520, 2211, 2883, 3460,
3874, 4078, 4049, 3790, 3330, 2723, 2038, 1354, 750, 296,
42, 19, 230, 649, 1229, 1904, 2595, 3223, 3715, 4016,
4091, 3930, 3553, 3003, 2343, 1649, 1000, 472, 126, 0,
110, 443, 961, 1603, 2297, 2962, 3522, 3912, 4088, 4028,
3741, 3259, 2637, 1948, 1270, 681, 250, 26, 34, 274,
719, 1316, 1998, 2685, 3299, 3769, 4041, 4083, 3890, 3486,
2916, 2246, 1553, 917, 411, 94, 1, 145, 508, 1048,
1703, 2398, 3053, 3591, 3952, 4094, 3999, 3680, 3173, 2536,
1842, 1172, 604, 201, 11, 56, 331, 803, 1419, 2107,
2789, 3385, 3826, 4063, 4067, 3839, 3404, 2812, 2132, 1443,
823, 345, 62, 9, 191, 587, 1151, 1819, 2513, 3154,
3667, 3993, 4094, 3960, 3605, 3070, 2417, 1722, 1064, 520,
151, 2, 89, 402, 904, 1539, 2232, 2904, 3477, 3886,
4082, 4043, 3774, 3305, 2691, 2004, 1321, 722, 276, 34,
25, 250, 682, 1272, 1951, 2642, 3264, 3745, 4030, 4087,
3908, 3513, 2950, 2282, 1588, 946, 431, 104, 0, 134,
488, 1023, 1676, 2372, 3030, 3575, 3944, 4093, 4006, 3692,
3189, 2553, 1859, 1187, 614, 207, 13, 54, 325, 795,
1411, 2100, 2782, 3380, 3824, 4062, 4068, 3840, 3404, 2812,
2131, 1440, 820, 342, 61, 10, 194, 593, 1160, 1830,
2525, 3165, 3675, 3997, 4094, 3954, 3593, 3053, 2397, 1701,
1044, 504, 142, 1, 97, 418, 928, 1568, 2263, 2933,
3501, 3900, 4085, 4034, 3753, 3275, 2654, 1963, 1282, 690,
254, 27, 33, 273, 718, 1317, 2001, 2690, 3305, 3774,
4043, 4081, 3884, 3473, 2898, 2224, 1529, 895, 394, 85,
3, 158, 532, 1082, 1743, 2440, 3091, 3622, 3970, 4095,
3983, 3646, 3124, 2478, 1781, 1116, 558, 173, 5, 74,
372, 865, 1494, 2187, 2865, 3447, 3868, 4077, 4051, 3792,
3331, 2722, 2034, 1347, 742, 288, 39, 22, 241, 669,
1257, 1936, 2629, 3254, 3739, 4028, 4087, 3910, 3516, 2952,
2282, 1586, 943, 428, 102, 1, 137, 496, 1034, 1691,
2388, 3046, 3588, 3952, 4094, 3998, 3676, 3165, 2524, 1828,
1157, 590, 192, 9, 63, 348, 830, 1453, 2146, 2827,
3418, 3849, 4071, 4058, 3812, 3360, 2756, 2069, 1380, 769,
306, 46, 18, 226, 645, 1228, 1906, 2601, 3231, 3723,
4021, 4090, 3921, 3534, 2974, 2307, 1609, 963, 442, 109,
0, 130, 483, 1017, 1672, 2370, 3031, 3577, 3946, 4093,
4003, 3685, 3177, 2537, 1841, 1168, 598, 196, 10, 61,
343, 823, 1446, 2139, 2821, 3413, 3847, 4070, 4059, 3813,
3362, 2758, 2071, 1381, 769, 306, 45, 18, 227, 647,
1231, 1910, 2605, 3235, 3727, 4023, 4089, 3917, 3528, 2966,
2297, 1600, 954, 435, 105, 0, 135, 492, 1030, 1687,
2386, 3045, 3588, 3952, 4094, 3997, 3673, 3160, 2517, 1819,
1148, 582, 186, 8, 67, 357, 844, 1471, 2166, 2847,
3434, 3860, 4075, 4053, 3798, 3338, 2728, 2038, 1350, 743,
288, 38, 23, 244, 675, 1266, 1948, 2642, 3267, 3749,
4033, 4085, 3900, 3498, 2927, 2254, 1556, 916, 408, 91,
2, 152, 523, 1073, 1735, 2435, 3089, 3622, 3971, 4095,
3980, 3640, 3114, 2463, 1764, 1098, 543, 163, 4, 83,
391, 893, 1530, 2227, 2903, 3480, 3889, 4083, 4039, 3763,
3286, 2665, 1972, 1287, 691, 254, 26, 34, 278, 728,
1333, 2021, 2712, 3325, 3789, 4050, 4077, 3866, 3443, 2857,
2176, 1480, 851, 361, 68, 7, 185, 580, 1146, 1818,
2517, 3161, 3675, 3998, 4094, 3950, 3583, 3037, 2376, 1675,
1019, 482, 129, 0, 111, 448, 972, 1622, 2322, 2990,
3547, 3929, 4091, 4014, 3707, 3205, 2569, 1871, 1194, 616,
207, 12, 56, 333, 811, 1433, 2127, 2812, 3408, 3844,
4070, 4059, 3813, 3360, 2753, 2064, 1373, 760, 299, 42,
20, 236, 663, 1253, 1936, 2632, 3259, 3745, 4032, 4086,
3901, 3500, 2928, 2253, 1554, 913, 405, 89, 2, 156,
531, 1083, 1749, 2450, 3103, 3633, 3977, 4095, 3973, 3625,
3092, 2437, 1736, 1072, 522, 151, 2, 93, 413, 925,
1568, 2268, 2942, 3511, 3908, 4087, 4027, 3735, 3245, 2614,
1917, 1236, 649, 226, 17, 47, 311, 778, 1395, 2088,
2776, 3379, 3826, 4064, 4065, 3830, 3385, 2784, 2096, 1402,
784, 314, 48, 17, 223, 644, 1230, 1911, 2609, 3241,
3732, 4026, 4088, 3910, 3513, 2944, 2270, 1570, 926, 413,
93, 2, 151, 523, 1074, 1740, 2441, 3096, 3629, 3975,
4095, 3974, 3628, 3095, 2439, 1738, 1072, 522, 150, 2,
94, 415, 929, 1573, 2274, 2948, 3516, 3912, 4088, 4025,
3729, 3235, 2602, 1904, 1222, 638, 219, 15, 50, 320,
793, 1414, 2109, 2797, 3397, 3838, 4068, 4061, 3817, 3365,
2758, 2067, 1374, 761, 298, 42, 21, 239, 669, 1262,
1947, 2644, 3271, 3754, 4036, 4084, 3892, 3484, 2906, 2227,
1527, 888, 386, 79, 4, 170, 556, 1118, 1790, 2492,
3141, 3662, 3993, 4094, 3955, 3591, 3045, 2382, 1679, 1020,
482, 128, 0, 113, 455, 983, 1637, 2340, 3008, 3563,
3939, 4093, 4005, 3687, 3176, 2532, 1830, 1155, 584, 186,
7, 69, 364, 857, 1491, 2190, 2873, 3458, 3877, 4080,
4044, 3772, 3297, 2675, 1979, 1290, 692, 253, 25, 36,
284, 741, 1351, 2043, 2736, 3348, 3806, 4057, 4071, 3846,
3409, 2812, 2124, 1427, 803, 326, 53, 14, 216, 633,
1218, 1900, 2600, 3235, 3729, 4025, 4088, 3910, 3512, 2941,
2265, 1563, 918, 407, 89, 2, 157, 535, 1092, 1761,
2465, 3119, 3646, 3985, 4095, 3963, 3605, 3063, 2401, 1697,
1035, 492, 133, 0, 109, 447, 974, 1628, 2331, 3001,
3558, 3937, 4092, 4006, 3689, 3177, 2532, 1830, 1153, 582,
185, 7, 70, 368, 863, 1499, 2200, 2882, 3466, 3882,
4082, 4040, 3764, 3284, 2658, 1960, 1272, 676, 242, 22,
41, 297, 761, 1376, 2071, 2764, 3371, 3822, 4063, 4066,
3830, 3383, 2778, 2086, 1390, 772, 305, 44, 20, 236,
666, 1260, 1947, 2646, 3274, 3757, 4038, 4083, 3887, 3474,
2891, 2209, 1508, 870, 372, 72, 6, 182, 579, 1149,
1826, 2529, 3175, 3688, 4006, 4092, 3937, 3557, 2999, 2327,
1623, 969, 443, 107, 0, 137, 499, 1045, 1710, 2415,
3076, 3615, 3969, 4095, 3978, 3633, 3099, 2441, 1737, 1069,
517, 146, 1, 99, 427, 947, 1598, 2303, 2976, 3540,
3927, 4091, 4013, 3701, 3194, 2551, 1847, 1168, 593, 190,
8, 68, 362, 856, 1492, 2193, 2877, 3463, 3881, 4081,
4041, 3763, 3282, 2655, 1955, 1267, 671, 238, 20, 43,
304, 771, 1390, 2087, 2780, 3385, 3832, 4067, 4062, 3818,
3364, 2754, 2059, 1364, 749, 289, 37, 24, 252, 692,
1294, 1985, 2683, 3306, 3780, 4047, 4078, 3867, 3440, 2847,
2160, 1459, 828, 342, 59, 12, 206, 620, 1203, 1886,
2589, 3227, 3725, 4024, 4088, 3909, 3510, 2936, 2257, 1553,
907, 398, 84, 4, 166, 553, 1117, 1791, 2497, 3148,
3669, 3997, 4094, 3947, 3574, 3019, 2349, 1643, 986, 454,
112, 0, 132, 491, 1036, 1701, 2407, 3071, 3612, 3968,
4095, 3978, 3632, 3097, 2438, 1732, 1063, 512, 143, 1,
102, 435, 960, 1615, 2321, 2994, 3555, 3936, 4092, 4006,
3686, 3170, 2522, 1817, 1139, 569, 176, 5, 78, 385,
890, 1533, 2237, 2919, 3497, 3902, 4087, 4028, 3734, 3239,
2601, 1898, 1213, 627, 210, 12, 57, 339, 824, 1455,
2157, 2846, 3439, 3867, 4078, 4047, 3777, 3302, 2677, 1977,
1285, 684, 246, 22, 40, 298, 763, 1382, 2081, 2775,
3382, 3831, 4067, 4062, 3817, 3360, 2748, 2051, 1355, 741,
282, 35, 27, 260, 707, 1314, 2008, 2706, 3327, 3794,
4053, 4073, 3852, 3414, 2814, 2122, 1422, 796, 319, 49,
17, 227, 655, 1249, 1938, 2641, 3272, 3757, 4039, 4082,
3883, 3464, 2876, 2190, 1486, 849, 356, 64, 9, 198,
608, 1189, 1873, 2578, 3219, 3721, 4023, 4088, 3910, 3510,
2935, 2253, 1548, 901, 392, 81, 4, 172, 564, 1133,
1811, 2518, 3168, 3685, 4006, 4092, 3935, 3552, 2989, 2313,
1606, 951, 428, 98, 1, 149, 524, 1081, 1754, 2461,
3119, 3650, 3988, 4094, 3956, 3590, 3038, 2369, 1661, 999,
463, 116, 0, 129, 488, 1033, 1700, 2408, 3073, 3615,
3970, 4095, 3975, 3624, 3084, 2421, 1713, 1044, 496, 134,
0, 112, 455, 989, 1650, 2358, 3029, 3583, 3952, 4094,
3991, 3655, 3127, 2469, 1761, 1087, 528, 151, 2, 97,
426, 949, 1603, 2311, 2988, 3551, 3935, 4092, 4005, 3683,
3165, 2513, 1806, 1127, 559, 169, 4, 84, 399, 912,
1561, 2268, 2949, 3522, 3918, 4090, 4017, 3708, 3200, 2554,
1847, 1164, 587, 185, 7, 73, 375, 879, 1522, 2229,
2913, 3494, 3902, 4087, 4027, 3730, 3232, 2591, 1885, 1198,
614, 201, 10, 63, 355, 849, 1487, 2193, 2881, 3469,
3886, 4083, 4036, 3750, 3260, 2624, 1919, 1229, 638, 216,
14, 55, 336, 823, 1456, 2160, 2851, 3446, 3872, 4080,
4043, 3767, 3284, 2653, 1950, 1257, 660, 230, 17, 49,
320, 799, 1428, 2132, 2825, 3425, 3859, 4076, 4049, 3782,
3306, 2679, 1976, 1282, 680, 242, 21, 43, 307, 779,
1404, 2107, 2802, 3406, 3848, 4073, 4054, 3794, 3325, 2701,
2000, 1303, 697, 253, 24, 39, 295, 762, 1384, 2085,
2782, 3391, 3838, 4069, 4058, 3805, 3340, 2720, 2019, 1322,
711, 262, 27, 35, 286, 748, 1367, 2067, 2766, 3378,
3829, 4067, 4061, 3813, 3353, 2735, 2035, 1336, 723, 269,
29, 33, 278, 737, 1353, 2053, 2753, 3367, 3823, 4064,
4063, 3820, 3363, 2747, 2047, 1348, 732, 275, 31, 31,
273, 729, 1343, 2043, 2743, 3359, 3818, 4063, 4065, 3824,
3369, 2755, 2056, 1355, 738, 279, 33, 29, 269, 723,
1337, 2036, 2737, 3355, 3815, 4062, 4066, 3827, 3373, 2760,
2061, 1360, 742, 281, 34, 29, 267, 721, 1334, 2033,
2734, 3353, 3813, 4061, 4066, 3828, 3375, 2761, 2062, 1361,
742, 281, 34, 29, 267, 721, 1334, 2034, 2735, 3353,
3814, 4062, 4066, 3827, 3373, 2759, 2059, 1358, 740, 280,
33, 29, 269, 724, 1338, 2038, 2739, 3357, 3817, 4063,
4065, 3824, 3369, 2754, 2053, 1352, 735, 277, 32, 31,
273, 730, 1345, 2046, 2747, 3363, 3821, 4064, 4064, 3820,
3362, 2745, 2044, 1343, 727, 271, 30, 32, 278, 738,
1356, 2058, 2758, 3373, 3827, 4066, 4061, 3813, 3351, 2732,
2030, 1330, 717, 264, 28, 35, 286, 750, 1370, 2073,
2773, 3385, 3835, 4069, 4058, 3805, 3339, 2716, 2013, 1314,
703, 256, 25, 38, 295, 764, 1388, 2092, 2791, 3399,
3844, 4072, 4055, 3794, 3323, 2697, 1992, 1294, 688, 245,
21, 43, 307, 781, 1409, 2115, 2812, 3416, 3855, 4075,
4050, 3782, 3304, 2674, 1968, 1271, 669, 234, 18, 48,
320, 802, 1434, 2141, 2836, 3436, 3868, 4079, 4044, 3767,
3282, 2647, 1940, 1245, 648, 221, 14, 55, 336, 825,
1463, 2171, 2864, 3458, 3882, 4082, 4037, 3750, 3257, 2617,
1908, 1216, 625, 206, 11, 62, 355, 852, 1495, 2204,
2895, 3483, 3896, 4086, 4028, 3730, 3228, 2583, 1872, 1183,
599, 191, 7, 72, 376, 882, 1531, 2242, 2929, 3509,
3912, 4089, 4018, 3708, 3196, 2545, 1834, 1148, 572, 174,
4, 83, 399, 916, 1570, 2282, 2966, 3538, 3929, 4092,
4006, 3683, 3161, 2504, 1791, 1109, 542, 157, 2, 95,
426, 953, 1613, 2327, 3006, 3569, 3947, 4094, 3993, 3655,
3122, 2458, 1745, 1068, 511, 140, 0, 110, 455, 994,
1661, 2374, 3048, 3601, 3964, 4095, 3977, 3624, 3079, 2409,
1695, 1024, 478, 122, 0, 127, 488, 1038, 1712, 2426,
3094, 3634, 3982, 4095, 3958, 3589, 3033, 2357, 1643, 978,
443, 104, 1, 147, 524, 1087, 1766, 2480, 3141, 3669,
4000, 4093, 3937, 3551, 2982, 2300, 1586, 929, 408, 86,
4, 170, 564, 1139, 1825, 2538, 3191, 3705, 4017, 4089,
3913, 3510, 2928, 2239, 1527, 878, 372, 70, 8, 195,
608, 1196, 1888, 2599, 3243, 3741, 4034, 4084, 3886, 3464,
2869, 2175, 1465, 826, 335, 54, 15, 224, 655, 1256,
1954, 2663, 3297, 3778, 4049, 4076, 3855, 3414, 2807, 2107,
1399, 771, 298, 39, 25, 257, 707, 1321, 2024, 2729,
3352, 3815, 4063, 4064, 3820, 3360, 2740, 2035, 1331, 715,
262, 26, 37, 293, 764, 1391, 2098, 2799, 3408, 3851,
4074, 4050, 3782, 3301, 2668, 1959, 1261, 659, 226, 15,
53, 334, 825, 1464, 2175, 2870, 3465, 3887, 4084, 4033,
3739, 3238, 2592, 1880, 1188, 601, 191, 7, 73, 380,
890, 1542, 2256, 2944, 3523, 3921, 4091, 4011, 3691, 3170,
2512, 1797, 1113, 543, 157, 2, 97, 430, 961, 1625,
2340, 3020, 3581, 3954, 4095, 3985, 3638, 3097, 2428, 1712,
1037, 486, 125, 0, 125, 485, 1036, 1711, 2427, 3097,
3638, 3985, 4095, 3954, 3580, 3019, 2339, 1623, 959, 429,
96, 2, 158, 546, 1117, 1802, 2517, 3175, 3695, 4013,
4090, 3918, 3517, 2936, 2246, 1532, 881, 372, 69, 8,
197, 612, 1203, 1897, 2610, 3254, 3750, 4038, 4082, 3877,
3447, 2847, 2149, 1438, 802, 318, 46, 20, 241, 684,
1294, 1997, 2705, 3333, 3803, 4059, 4068, 3829, 3372, 2753,
2047, 1342, 723, 266, 27, 36, 292, 763, 1391, 2099,
2802, 3412, 3854, 4076, 4048, 3776, 3291, 2654, 1943, 1244,
644, 216, 13, 59, 349, 847, 1492, 2206, 2900, 3490,
3902, 4088, 4023, 3715, 3204, 2550, 1835, 1146, 567, 170,
3, 88, 412, 938, 1599, 2315, 2999, 3566, 3947, 4094,
3990, 3648, 3110, 2441, 1724, 1046, 492, 128, 0, 123,
483, 1035, 1711, 2428, 3099, 3640, 3986, 4094, 3951, 3574,
3009, 2327, 1610, 947, 419, 91, 3, 166, 561, 1138,
1827, 2543, 3198, 3712, 4021, 4088, 3904, 3492, 2903, 2208,
1494, 848, 349, 59, 13, 217, 646, 1248, 1948, 2660,
3296, 3780, 4050, 4074, 3849, 3403, 2790, 2086, 1377, 750,
283, 33, 31, 276, 740, 1364, 2072, 2778, 3393, 3843,
4072, 4053, 3786, 3306, 2671, 1959, 1258, 654, 222, 14,
56, 344, 841, 1486, 2200, 2896, 3487, 3902, 4088, 4022,
3714, 3201, 2546, 1829, 1140, 562, 166, 3, 91, 420,
949, 1614, 2332, 3015, 3579, 3954, 4095, 3983, 3633, 3088,
2415, 1697, 1021, 472, 117, 0, 135, 505, 1066, 1747,
2465, 3132, 3665, 3999, 4093, 3934, 3543, 2968, 2279, 1562,
905, 388, 76, 7, 189, 600, 1190, 1885, 2601, 3248,
3747, 4037, 4082, 3875, 3444, 2840, 2139, 1426, 790, 309,
42, 23, 253, 704, 1321, 2028, 2737, 3361, 3823, 4066,
4060, 3806, 3335, 2705, 1994, 1290, 679, 237, 18, 50,
328, 818, 1460, 2175, 2873, 3470, 3892, 4086, 4028, 3726,
3217, 2563, 1846, 1154, 572, 172, 4, 88, 413, 941,
1605, 2324, 3009, 3575, 3952, 4094, 3984, 3635, 3089, 2415,
1695, 1019, 470, 116, 0, 137, 510, 1073, 1756, 2475,
3142, 3673, 4003, 4092, 3928, 3532, 2953, 2261, 1543, 888,
375, 70, 9, 199, 618, 1214, 1913, 2628, 3272, 3764,
4044, 4078, 3860, 3418, 2807, 2102, 1390, 760, 288, 34,
29, 274, 738, 1363, 2074, 2781, 3397, 3847, 4074, 4050,
3779, 3294, 2654, 1940, 1238, 637, 210, 11, 63, 361,
868, 1520, 2238, 2932, 3517, 3920, 4091, 4009, 3685, 3158,
2493, 1774, 1088, 521, 143, 1, 111, 462, 1009, 1684,
2405, 3081, 3629, 3982, 4095, 3954, 3578, 3012, 2326, 1606,
941, 413, 87, 4, 174, 576, 1160, 1855, 2573, 3226,
3733, 4031, 4084, 3884, 3457, 2855, 2153, 1438, 799, 314,
44, 22, 251, 703, 1321, 2030, 2740, 3365, 3827, 4068,
4058, 3800, 3324, 2690, 1976, 1271, 663, 226, 15, 56,
344, 843, 1491, 2209, 2906, 3497, 3909, 4089, 4016, 3700,
3178, 2516, 1796, 1107, 535, 150, 1, 106, 451, 995,
1669, 2390, 3069, 3621, 3977, 4095, 3958, 3584, 3020, 2335,
1614, 947, 416, 88, 4, 172, 574, 1158, 1853, 2572,
3226, 3734, 4032, 4084, 3883, 3454, 2851, 2147, 1432, 793,
309, 42, 23, 256, 712, 1333, 2043, 2753, 3376, 3834,
4070, 4055, 3790, 3309, 2671, 1956, 1252, 647, 216, 12,
61, 358, 864, 1517, 2236, 2932, 3518, 3921, 4091, 4007,
3680, 3150, 2483, 1761, 1075, 510, 137, 0, 118, 476,
1030, 1710, 2431, 3106, 3648, 3992, 4094, 3941, 3553, 2978,
2287, 1566, 905, 386, 74, 7, 194, 612, 1208, 1909,
2627, 3272, 3766, 4046, 4077, 3855, 3409, 2793, 2085, 1371,
742, 276, 30, 35, 290, 764, 1398, 2113, 2820, 3430,
3869, 4080, 4039, 3750, 3248, 2598, 1878, 1180, 590, 181,
5, 83, 405, 933, 1599, 2320, 3008, 3577, 3954, 4095,
3980, 3625, 3073, 2393, 1671, 995, 450, 105, 1, 153,
540, 1115, 1807, 2528, 3190, 3709, 4021, 4087, 3899, 3481,
2883, 2181, 1463, 818, 325, 48, 20, 244, 693, 1312,
2022, 2735, 3362, 3826, 4068, 4058, 3797, 3318, 2681, 1964,
1259, 651, 218, 12, 61, 357, 865, 1519, 2240, 2937,
3522, 3924, 4092, 4004, 3673, 3138, 2468, 1745, 1060, 498,
129, 0, 126, 492, 1053, 1737, 2460, 3132, 3668, 4002,
4092, 3927, 3527, 2943, 2246, 1525, 869, 360, 62, 12,
216, 648, 1256, 1962, 2679, 3317, 3796, 4058, 4068, 3825,
3361, 2733, 2019, 1308, 690, 242, 19, 49, 329, 824,
1472, 2191, 2893, 3489, 3905, 4089, 4017, 3700, 3176, 2511,
1788, 1098, 526, 144, 0, 113, 467, 1018, 1699, 2423,
3100, 3645, 3991, 4094, 3941, 3551, 2973, 2280, 1557, 896,
379, 70, 9, 203, 627, 1229, 1934, 2653, 3296, 3783,
4053, 4072, 3837, 3379, 2755, 2041, 1329, 706, 252, 22,
45, 319, 809, 1455, 2174, 2878, 3478, 3898, 4087, 4021,
3708, 3187, 2523, 1800, 1107, 533, 148, 1, 110, 462,
1012, 1692, 2416, 3095, 3642, 3990, 4094, 3942, 3553, 2975,
2281, 1558, 896, 378, 70, 9, 204, 629, 1232, 1938,
2657, 3300, 3786, 4054, 4071, 3834, 3373, 2746, 2032, 1320,
699, 246, 20, 48, 326, 820, 1468, 2189, 2892, 3489,
3905, 4089, 4016, 3697, 3171, 2504, 1780, 1089, 519, 140,
0, 117, 477, 1033, 1716, 2441, 3117, 3659, 3998, 4093,
3931, 3533, 2948, 2251, 1528, 870, 360, 62, 12, 219,
654, 1265, 1973, 2691, 3329, 3805, 4061, 4064, 3814, 3343,
2708, 1991, 1281, 667, 226, 14, 58, 351, 857, 1512,
2235, 2934, 3522, 3925, 4092, 4002, 3667, 3128, 2454, 1729,
1043, 484, 121, 0, 136, 513, 1082, 1772, 2497, 3166,
3694, 4015, 4089, 3907, 3490, 2893, 2189, 1468, 819, 325,
47, 21, 249, 703, 1327, 2041, 2756, 3381, 3840, 4073,
4051, 3777, 3286, 2640, 1918, 1213, 613, 193, 7, 77,
395, 920, 1588, 2313, 3005, 3576, 3956, 4095, 3977, 3616,
3057, 2372, 1646, 971, 430, 94, 3, 169, 572, 1160,
1860, 2584, 3240, 3746, 4038, 4080, 3866, 3423, 2807, 2095,
1378, 744, 275, 29, 37, 298, 779, 1420, 2140, 2848,
3456, 3886, 4085, 4027, 3720, 3202, 2539, 1814, 1118, 540,
151, 1, 109, 461, 1013, 1695, 2422, 3101, 3648, 3993,
4093, 3936, 3540, 2957, 2258, 1534, 874, 362, 62, 12,
219, 657, 1270, 1980, 2699, 3336, 3811, 4063, 4062, 3806,
3329, 2690, 1970, 1260, 649, 215, 11, 65, 368, 883,
1545, 2271, 2968, 3549, 3941, 4094, 3989, 3639, 3088, 2406,
1679, 998, 450, 103, 2, 158, 553, 1136, 1835, 2560,
3221, 3733, 4033, 4082, 3875, 3437, 2824, 2112, 1393, 756,
282, 31, 34, 292, 771, 1412, 2132, 2842, 3452, 3884,
4085, 4028, 3721, 3203, 2539, 1813, 1116, 538, 149, 1,
111, 465, 1020, 1704, 2432, 3111, 3656, 3997, 4093, 3930,
3529, 2941, 2240, 1515, 857, 350, 57, 15, 230, 675,
1294, 2007, 2726, 3359, 3826, 4069, 4056, 3789, 3302, 2656,
1934, 1226, 621, 198, 7, 75, 392, 919, 1588, 2315,
3009, 3581, 3959, 4095, 3972, 3606, 3043, 2354, 1626, 952,
416, 86, 5, 182, 595, 1191, 1896, 2621, 3272, 3769,
4048, 4074, 3843, 3386, 2758, 2041, 1325, 700, 246, 19,
50, 333, 833, 1487, 2212, 2916, 3510, 3919, 4091, 4005,
3670, 3130, 2453, 1725, 1037, 478, 117, 0, 143, 527,
1104, 1800, 2527, 3194, 3715, 4026, 4085, 3887, 3456, 2846,
2135, 1413, 771, 291, 34, 32, 285, 761, 1401, 2122,
2834, 3447, 3882, 4084, 4029, 3722, 3203, 2538, 1810, 1113,
534, 147, 1, 114, 472, 1030, 1717, 2446, 3125, 3667,
4003, 4092, 3921, 3513, 2919, 2214, 1489, 834, 333, 49,
19, 247, 702, 1329, 2046, 2764, 3391, 3847, 4075, 4046,
3763, 3263, 2609, 1883, 1178, 583, 174, 3, 92, 428,
970, 1649, 2378, 3066, 3624, 3982, 4094, 3947, 3559, 2978,
2280, 1552, 887, 369, 64, 12, 217, 655, 1270, 1984,
2705, 3344, 3817, 4066, 4058, 3795, 3310, 2665, 1941, 1231,
624, 198, 7, 76, 394, 923, 1595, 2324, 3018, 3589,
3964, 4095, 3966, 3594, 3025, 2331, 1602, 929, 399, 78,
7, 196, 620, 1225, 1935, 2660, 3306, 3793, 4057, 4067,
3819, 3346, 2708, 1986, 1272, 656, 218, 12, 65, 370,
888, 1554, 2283, 2982, 3562, 3949, 4095, 3980, 3619, 3058,
2369, 1639, 961, 421, 88, 4, 181, 595, 1193, 1901,
2627, 3280, 3775, 4051, 4072, 3835, 3371, 2738, 2017, 1300,
679, 231, 15, 58, 353, 865, 1527, 2256, 2958, 3544,
3939, 4094, 3988, 3635, 3080, 2393, 1662, 981, 435, 95,
3, 172, 579, 1174, 1880, 2608, 3264, 3765, 4047, 4074,
3844, 3384, 2754, 2034, 1316, 691, 239, 17, 54, 345,
853, 1514, 2242, 2946, 3535, 3934, 4093, 3992, 3642, 3089,
2403, 1672, 989, 441, 97, 3, 169, 574, 1168, 1873,
2601, 3259, 3762, 4046, 4075, 3846, 3387, 2758, 2037, 1319,
693, 240, 17, 54, 345, 853, 1514, 2242, 2946, 3536,
3935, 4093, 3991, 3640, 3086, 2400, 1668, 985, 438, 96,
3, 171, 579, 1174, 1881, 2609, 3265, 3766, 4048, 4074,
3841, 3380, 2748, 2027, 1308, 684, 234, 16, 57, 352,
864, 1527, 2257, 2959, 3546, 3941, 4094, 3986, 3630, 3072,
2383, 1651, 970, 426, 90, 4, 179, 593, 1192, 1901,
2629, 3282, 3778, 4052, 4070, 3830, 3362, 2725, 2002, 1285,
665, 222, 13, 63, 367, 886, 1554, 2284, 2985, 3565,
3952, 4095, 3976, 3610, 3045, 2352, 1620, 943, 407, 81,
6, 193, 617, 1224, 1936, 2663, 3311, 3797, 4059, 4064,
3811, 3333, 2689, 1964, 1249, 637, 205, 9, 73, 391,
920, 1594, 2326, 3022, 3594, 3967, 4095, 3961, 3581, 3006,
2307, 1576, 904, 380, 68, 10, 213, 651, 1268, 1985,
2709, 3349, 3822, 4068, 4055, 3785, 3292, 2640, 1912, 1201,
599, 182, 4, 88, 423, 967, 1648, 2381, 3071, 3630,
3986, 4094, 3939, 3542, 2953, 2249, 1518, 855, 345, 54,
17, 242, 697, 1326, 2047, 2769, 3397, 3853, 4077, 4041,
3750, 3240, 2577, 1846, 1141, 552, 155, 1, 109, 466,
1026, 1716, 2450, 3131, 3674, 4008, 4090, 3911, 3492, 2888,
2176, 1448, 796, 305, 38, 29, 278, 755, 1398, 2124,
2840, 3454, 3888, 4086, 4022, 3705, 3174, 2500, 1767, 1070,
498, 126, 0, 137, 520, 1098, 1799, 2531, 3202, 3724,
4031, 4083, 3874, 3430, 2809, 2089, 1365, 728, 261, 23,
45, 325, 826, 1483, 2214, 2923, 3519, 3927, 4093, 3996,
3649, 3096, 2408, 1674, 988, 438, 95, 3, 174, 585,
1185, 1895, 2625, 3281, 3778, 4053, 4070, 3827, 3355, 2715,
1989, 1271, 652, 213, 10, 69, 382, 910, 1584, 2317,
3016, 3590, 3966, 4095, 3961, 3580, 3002, 2302, 1569, 897,
373, 65, 12, 221, 664, 1286, 2006, 2731, 3368, 3835,
4073, 4049, 3768, 3265, 2606, 1875, 1166, 570, 165, 2,
102, 453, 1009, 1699, 2434, 3119, 3666, 4004, 4091, 3915,
3498, 2894, 2181, 1451, 798, 306, 38, 29, 280, 758,
1403, 2131, 2848, 3462, 3893, 4087, 4018, 3696, 3160, 2482,
1747, 1051, 484, 118, 0, 147, 538, 1124, 1829, 2562,
3229, 3743, 4039, 4078, 3856, 3400, 2770, 2046, 1323, 693,
238, 16, 56, 353, 868, 1536, 2269, 2974, 3559, 3950,
4095, 3976, 3608, 3039, 2342, 1607, 929, 395, 75, 8,
205, 640, 1256, 1974, 2702, 3345, 3821, 4068, 4054, 3782,
3285, 2629, 1898, 1186, 585, 173, 3, 97, 442, 995,
1684, 2420, 3107, 3658, 4001, 4092, 3918, 3504, 2901, 2188,
1456, 802, 308, 38, 29, 280, 759, 1405, 2133, 2851,
3465, 3896, 4088, 4016, 3691, 3152, 2472, 1736, 1041, 475,
113, 1, 153, 550, 1141, 1848, 2582, 3246, 3756, 4045,
4075, 3844, 3380, 2744, 2018, 1296, 671, 224, 12, 64,
372, 897, 1571, 2306, 3007, 3585, 3964, 4095, 3961, 3580,
3001, 2298, 1563, 890, 368, 62, 13, 228, 678, 1305,
2028, 2754, 3388, 3849, 4077, 4042, 3749, 3236, 2570, 1835,
1128, 540, 147, 0, 118, 486, 1056, 1754, 2490, 3169,
3702, 4022, 4086, 3886, 3448, 2829, 2108, 1380, 738, 266,
24, 44, 324, 827, 1488, 2221, 2932, 3529, 3933, 4093,
3989, 3633, 3071, 2377, 1640, 956, 414, 83, 6, 194,
622, 1235, 1953, 2683, 3331, 3813, 4066, 4057, 3788, 3293,
2637, 1904, 1190, 587, 174, 3, 97, 444, 999, 1690,
2427, 3115, 3665, 4005, 4091, 3912, 3492, 2884, 2168, 1436,
783, 295, 34, 33, 294, 783, 1435, 2167, 2884, 3492,
3912, 4091, 4004, 3664, 3114, 2426, 1688, 997, 443, 96,
3, 175, 590, 1194, 1909, 2642, 3298, 3791, 4058, 4065,
3809, 3325, 2675, 1943, 1225, 614, 189, 5, 86, 422,
969, 1656, 2394, 3087, 3644, 3995, 4093, 3925, 3513, 2911,
2197, 1463, 805, 309, 38, 29, 282, 764, 1412, 2144,
2863, 3476, 3903, 4089, 4010, 3676, 3131, 2444, 1706, 1013,
453, 101, 2, 169, 580, 1181, 1895, 2629, 3288, 3785,
4056, 4066, 3814, 3332, 2683, 1952, 1232, 619, 192, 6,
85, 419, 966, 1653, 2391, 3085, 3643, 3995, 4093, 3925,
3512, 2910, 2195, 1461, 803, 307, 38, 30, 284, 768,
1419, 2151, 2870, 3481, 3907, 4090, 4008, 3670, 3121, 2433,
1694, 1002, 445, 97, 3, 175, 591, 1196, 1912, 2646,
3302, 3795, 4060, 4063, 3804, 3316, 2662, 1929, 1211, 602,
182, 4, 92, 435, 988, 1679, 2418, 3109, 3661, 4004,
4091, 3912, 3491, 2881, 2163, 1429, 777, 289, 31, 36,
303, 797, 1454, 2188, 2904, 3509, 3923, 4092, 3995, 3645,
3086, 2391, 1652, 964, 418, 84, 6, 194, 624, 1239,
1960, 2692, 3340, 3820, 4068, 4053, 3777, 3275, 2612, 1876,
1163, 565, 160, 1, 110, 471, 1037, 1736, 2475, 3159,
3697, 4020, 4086, 3886, 3446, 2824, 2100, 1369, 727, 257,
21, 49, 338, 851, 1519, 2256, 2966, 3557, 3950, 4095,
3972, 3599, 3023, 2319, 1580, 902, 374, 64, 13, 228,
680, 1311, 2038, 2767, 3401, 3859, 4080, 4036, 3732, 3208,
2532, 1793, 1088, 508, 128, 0, 139, 528, 1115, 1823,
2562, 3233, 3749, 4043, 4076, 3844, 3377, 2737, 2006, 1281,
656, 213, 10, 73, 394, 931, 1614, 2354, 3054, 3622,
3985, 4094, 3935, 3530, 2931, 2216, 1479, 817, 315, 40,
28, 279, 762, 1413, 2147, 2868, 3482, 3908, 4090, 4006,
3665, 3113, 2421, 1681, 988, 434, 91, 4, 185, 609,
1221, 1942, 2676, 3328, 3813, 4066, 4056, 3782, 3281, 2619,
1882, 1167, 567, 160, 1, 110, 472, 1041, 1741, 2482,
3165, 3703, 4023, 4085, 3880, 3435, 2809, 2082, 1351, 712,
247, 18, 55, 353, 873, 1547, 2286, 2994, 3579, 3962,
4095, 3960, 3574, 2988, 2279, 1539, 866, 348, 53, 19,
251, 718, 1360, 2091, 2817, 3442, 3885, 4086, 4020, 3696,
3155, 2470, 1729, 1029, 463, 105, 2, 167, 578, 1182,
1900, 2637, 3296, 3792, 4059, 4063, 3802, 3311, 2654, 1917,
1198, 590, 174, 3, 100, 453, 1015, 1712, 2454, 3142,
3687, 4016, 4087, 3891, 3453, 2830, 2104, 1371, 727, 256,
20, 51, 343, 859, 1531, 2271, 2982, 3570, 3958, 4095,
3964, 3581, 2996, 2287, 1547, 872, 352, 54, 18, 249,
716, 1357, 2090, 2816, 3442, 3885, 4086, 4020, 3694, 3152,
2465, 1723, 1024, 459, 103, 2, 170, 585, 1192, 1911,
2648, 3307, 3800, 4062, 4060, 3793, 3297, 2637, 1899, 1181,
576, 165, 2, 107, 467, 1036, 1737, 2479, 3164, 3703,
4024, 4085, 3878, 3430, 2801, 2072, 1341, 702, 240, 16,
59, 363, 890, 1568, 2310, 3017, 3596, 3972, 4095, 3948,
3551, 2957, 2243, 1503, 834, 326, 44, 25, 273, 754,
1406, 2142, 2865, 3481, 3908, 4091, 4004, 3660, 3103, 2408,
1665, 973, 422, 85, 6, 196, 630, 1251, 1976, 2711,
3359, 3834, 4073, 4046, 3756, 3240, 2568, 1827, 1115, 526,
137, 0, 133, 518, 1104, 1815, 2556, 3231, 3749, 4044,
4075, 3839, 3367, 2721, 1987, 1260, 637, 200, 7, 82,
417, 966, 1658, 2401, 3098, 3656, 4002, 4091, 3910, 3484,
2868, 2144, 1407, 755, 273, 25, 44, 327, 837, 1507,
2247, 2962, 3556, 3951, 4095, 3969, 3589, 3006, 2297, 1555,
877, 354, 55, 18, 249, 718, 1361, 2096, 2824, 3449,
3890, 4087, 4016, 3684, 3137, 2446, 1702, 1004, 443, 95,
4, 183, 608, 1223, 1947, 2684, 3338, 3820, 4069, 4051,
3769, 3259, 2589, 1847, 1133, 538, 144, 0, 127, 508,
1092, 1802, 2545, 3222, 3744, 4042, 4076, 3842, 3372, 2726,
1991, 1263, 639, 201, 7, 82, 418, 968, 1661, 2406,
3103, 3660, 4005, 4090, 3906, 3476, 2857, 2131, 1394, 744,
266, 23, 48, 337, 853, 1526, 2268, 2982, 3571, 3960,
4095, 3960, 3571, 2982, 2268, 1526, 852, 337, 48, 23,
266, 745, 1396, 2133, 2859, 3478, 3907, 4091, 4004, 3658,
3099, 2401, 1656, 963, 414, 80, 7, 204, 645, 1272,
2001, 2736, 3381, 3848, 4078, 4038, 3735, 3209, 2529, 1785,
1076, 495, 120, 0, 152, 554, 1154, 1872, 2614, 3281,
3784, 4057, 4064, 3804, 3312, 2652, 1911, 1189, 581, 167,
2, 108, 471, 1043, 1748, 2492, 3178, 3714, 4029, 4082,
3865, 3407, 2769, 2035, 1303, 670, 219, 10, 72, 395,
938, 1627, 2372, 3075, 3641, 3995, 4092, 3918, 3495, 2881,
2156, 1417, 761, 276, 26, 44, 327, 839, 1511, 2254,
2970, 3564, 3956, 4095, 3963, 3576, 2987, 2273, 1529, 854,
337, 48, 23, 267, 748, 1400, 2139, 2866, 3484, 3911,
4091, 4000, 3650, 3087, 2386, 1640, 948, 402, 75, 9,
214, 662, 1295, 2027, 2762, 3402, 3862, 4081, 4031, 3717,
3181, 2495, 1749, 1043, 470, 107, 2, 168, 584, 1194,
1918, 2659, 3318, 3809, 4066, 4055, 3777, 3269, 2599, 1856,
1138, 541, 144, 0, 128, 511, 1099, 1812, 2557, 3234,
3753, 4046, 4073, 3831, 3351, 2699, 1960, 1232, 613, 185,
4, 95, 445, 1009, 1711, 2457, 3149, 3695, 4021, 4085,
3878, 3428, 2794, 2060, 1325, 686, 228, 12, 67, 385,
924, 1613, 2360, 3065, 3634, 3993, 4092, 3920, 3499, 2884,
2158, 1417, 761, 275, 25, 45, 331, 845, 1520, 2265,
2980, 3572, 3961, 4095, 3956, 3564, 2969, 2252, 1508, 835,
324, 42, 27, 282, 771, 1431, 2172, 2897, 3509, 3926,
4093, 3988, 3624, 3050, 2342, 1596, 909, 374, 62, 15,
238, 702, 1346, 2083, 2815, 3445, 3889, 4088, 4014, 3679,
3126, 2429, 1682, 983, 426, 85, 6, 199, 638, 1266,
1997, 2735, 3382, 3850, 4079, 4036, 3728, 3197, 2512, 1765,
1056, 479, 111, 1, 165, 579, 1190, 1914, 2657, 3318,
3810, 4067, 4054, 3774, 3263, 2590, 1845, 1127, 532, 138,
0, 135, 525, 1118, 1835, 2581, 3255, 3768, 4052, 4068,
3815, 3325, 2665, 1923, 1197, 585, 168, 2, 109, 475,
1050, 1759, 2507, 3193, 3726, 4035, 4079, 3851, 3383, 2736,
1997, 1265, 637, 198, 6, 86, 429, 987, 1687, 2436,
3132, 3684, 4017, 4087, 3884, 3436, 2803, 2068, 1331, 690,
230, 12, 67, 387, 928, 1619, 2367, 3073, 3641, 3997,
4092, 3913, 3486, 2866, 2136, 1395, 741, 262, 21, 51,
349, 873, 1554, 2302, 3015, 3599, 3976, 4094, 3939, 3531,
2925, 2201, 1456, 791, 294, 31, 38, 314, 822, 1493,
2239, 2959, 3558, 3954, 4095, 3962, 3573, 2980, 2262, 1515,
840, 326, 43, 27, 283, 774, 1436, 2180, 2906, 3517,
3931, 4094, 3982, 3612, 3031, 2320, 1571, 887, 358, 55,
19, 254, 730, 1382, 2123, 2854, 3477, 3909, 4091, 4000,
3647, 3079, 2374, 1625, 932, 389, 68, 12, 229, 690,
1332, 2070, 2806, 3439, 3886, 4087, 4015, 3679, 3124, 2425,
1675, 976, 420, 82, 7, 206, 652, 1285, 2020, 2759,
3403, 3864, 4082, 4028, 3708, 3165, 2472, 1723, 1017, 449,
96, 4, 186, 618, 1242, 1974, 2716, 3368, 3843, 4077,
4039, 3734, 3202, 2516, 1767, 1055, 477, 109, 2, 168,
587, 1202, 1931, 2675, 3334, 3822, 4071, 4048, 3757, 3237,
2557, 1808, 1092, 504, 123, 0, 153, 559, 1166, 1891,
2637, 3303, 3802, 4064, 4056, 3778, 3268, 2594, 1846, 1126,
529, 136, 0, 139, 534, 1133, 1854, 2601, 3274, 3783,
4058, 4063, 3797, 3296, 2628, 1881, 1157, 552, 149, 0,
127, 511, 1103, 1821, 2569, 3248, 3765, 4051, 4068, 3814,
3322, 2658, 1913, 1186, 574, 161, 1, 116, 491, 1076,
1791, 2540, 3223, 3749, 4045, 4073, 3828, 3344, 2686, 1941,
1211, 594, 172, 2, 107, 474, 1052, 1764, 2514, 3202,
3734, 4039, 4076, 3841, 3364, 2710, 1967, 1234, 611, 182,
3, 100, 458, 1031, 1741, 2491, 3182, 3721, 4034, 4079,
3852, 3381, 2731, 1988, 1254, 627, 191, 4, 93, 445,
1013, 1720, 2472, 3166, 3709, 4029, 4082, 3861, 3395, 2748,
2007, 1271, 640, 198, 6, 88, 435, 998, 1703, 2455,
3152, 3699, 4025, 4083, 3868, 3407, 2763, 2023, 1285, 651,
205, 7, 84, 426, 986, 1690, 2442, 3140, 3691, 4021,
4085, 3874, 3416, 2775, 2035, 1297, 660, 210, 8, 81,
419, 977, 1679, 2431, 3131, 3685, 4019, 4086, 3878, 3423,
2783, 2044, 1305, 666, 213, 9, 79, 415, 971, 1672,
2424, 3126, 3681, 4017, 4086, 3881, 3428, 2788, 2049, 1310,
670, 216, 9, 77, 412, 967, 1668, 2420, 3122, 3679,
4016, 4087, 3882, 3430, 2791, 2051, 1312, 671, 216, 9,
77, 411, 966, 1667, 2420, 3122, 3679, 4016, 4087, 3882,
3429, 2790, 2051, 1311, 670, 216, 9, 78, 412, 968,
1670, 2423, 3125, 3681, 4017, 4086, 3880, 3426, 2786, 2046,
1306, 667, 214, 8, 79, 416, 973, 1676, 2428, 3130,
3685, 4019, 4086, 3877, 3421, 2780, 2039, 1299, 661, 210,
8, 81, 421, 980, 1684, 2437, 3138, 3691, 4021, 4085,
3873, 3414, 2770, 2028, 1289, 653, 205, 7, 85, 428,
991, 1697, 2450, 3149, 3698, 4025, 4083, 3866, 3403, 2757,
2014, 1276, 642, 199, 6, 89, 438, 1004, 1712, 2465,
3162, 3708, 4029, 4081, 3859, 3391, 2741, 1997, 1260, 629,
191, 4, 94, 449, 1020, 1730, 2484, 3178, 3719, 4034,
4079, 3849, 3375, 2721, 1976, 1241, 614, 182, 3, 101,
463, 1039, 1752, 2506, 3197, 3732, 4039, 4076, 3838, 3357,
2699, 1952, 1218, 597, 172, 2, 109, 479, 1061, 1778,
2530, 3218, 3747, 4045, 4072, 3825, 3337, 2673, 1925, 1194,
578, 161, 1, 118, 497, 1086, 1806, 2558, 3242, 3763,
4051, 4068, 3810, 3313, 2645, 1895, 1166, 557, 150, 0,
129, 518, 1114, 1838, 2590, 3268, 3780, 4058, 4062, 3793,
3287, 2612, 1861, 1135, 533, 137, 0, 141, 541, 1146,
1873, 2624, 3296, 3799, 4064, 4055, 3774, 3258, 2577, 1825,
1102, 509, 124, 0, 155, 567, 1180, 1911, 2661, 3327,
3819, 4071, 4047, 3752, 3225, 2538, 1785, 1067, 482, 110,
2, 171, 596, 1218, 1953, 2700, 3359, 3840, 4077, 4038,
3728, 3190, 2496, 1742, 1029, 454, 96, 4, 190, 628,
1259, 1998, 2743, 3394, 3862, 4082, 4026, 3701, 3151, 2451,
1695, 988, 425, 83, 8, 210, 663, 1304, 2046, 2789,
3430, 3884, 4087, 4013, 3671, 3109, 2402, 1646, 945, 395,
69, 13, 233, 701, 1352, 2098, 2837, 3468, 3906, 4091,
3998, 3639, 3063, 2349, 1594, 901, 364, 56, 19, 259,
742, 1404, 2152, 2887, 3507, 3929, 4094, 3980, 3603, 3014,
2293, 1539, 854, 332, 43, 28, 288, 787, 1459, 2210,
2940, 3548, 3951, 4095, 3960, 3564, 2961, 2234, 1481, 806,
300, 32, 39, 320, 836, 1518, 2272, 2995, 3589, 3973,
4094, 3937, 3521, 2905, 2171, 1421, 756, 268, 22, 52,
355, 888, 1580, 2336, 3052, 3631, 3994, 4092, 3910, 3475,
2844, 2105, 1358, 705, 235, 13, 68, 394, 945, 1646,
2403, 3111, 3674, 4014, 4087, 3881, 3424, 2780, 2036, 1293,
653, 204, 6, 87, 436, 1005, 1716, 2473, 3171, 3716,
4033, 4079, 3847, 3370, 2712, 1963, 1226, 601, 173, 2,
110, 483, 1069, 1790, 2545, 3233, 3758, 4050, 4068, 3810,
3311, 2640, 1887, 1156, 548, 144, 0, 136, 534, 1138,
1867, 2620, 3295, 3800, 4065, 4054, 3769, 3248, 2564, 1808,
1086, 494, 116, 1, 166, 589, 1211, 1947, 2698, 3359,
3841, 4077, 4036, 3723, 3181, 2483, 1726, 1013, 442, 90,
6, 201, 649, 1288, 2031, 2777, 3423, 3880, 4087, 4014,
3673, 3109, 2399, 1642, 940, 390, 66, 14, 240, 714,
1370, 2119, 2858, 3486, 3918, 4093, 3988, 3617, 3032, 2312,
1555, 866, 339, 46, 26, 284, 783, 1456, 2209, 2941,
3550, 3953, 4095, 3957, 3557, 2950, 2220, 1466, 792, 289,
28, 43, 333, 858, 1546, 2303, 3024, 3612, 3985, 4093,
3920, 3491, 2864, 2125, 1375, 717, 242, 14, 65, 388,
938, 1641, 2399, 3109, 3673, 4015, 4086, 3879, 3420, 2773,
2026, 1282, 644, 197, 5, 93, 449, 1024, 1739, 2497,
3194, 3732, 4040, 4075, 3831, 3343, 2676, 1924, 1189, 571,
156, 0, 126, 515, 1115, 1842, 2598, 3278, 3789, 4062,
4057, 3777, 3260, 2576, 1819, 1094, 500, 118, 1, 165,
588, 1211, 1949, 2700, 3362, 3843, 4078, 4034, 3717, 3171,
2470, 1712, 999, 431, 84, 7, 211, 667, 1312, 2059,
2804, 3445, 3894, 4089, 4004, 3650, 3076, 2361, 1602, 905,
364, 55, 20, 263, 752, 1419, 2172, 2908, 3526, 3940,
4095, 3968, 3577, 2975, 2247, 1490, 811, 301, 32, 39,
323, 844, 1531, 2288, 3013, 3604, 3982, 4093, 3924, 3496,
2869, 2129, 1377, 718, 242, 14, 66, 391, 943, 1647,
2407, 3117, 3680, 4018, 4085, 3872, 3408, 2756, 2007, 1264,
628, 188, 4, 100, 465, 1048, 1768, 2527, 3220, 3751,
4048, 4069, 3812, 3312, 2638, 1883, 1150, 541, 139, 0,
143, 548, 1160, 1894, 2649, 3321, 3818, 4071, 4045, 3744,
3210, 2515, 1756, 1037, 457, 96, 4, 194, 639, 1278,
2023, 2772, 3420, 3880, 4087, 4013, 3668, 3100, 2386, 1626,
924, 377, 60, 17, 254, 738, 1403, 2156, 2895, 3516,
3935, 4094, 3971, 3583, 2982, 2253, 1496, 814, 303, 32,
39, 323, 845, 1533, 2292, 3017, 3608, 3984, 4093, 3920,
3488, 2858, 2116, 1364, 707, 235, 12, 71, 402, 960,
1669, 2429, 3137, 3695, 4025, 4082, 3859, 3385, 2727, 1975,
1233, 604, 173, 2, 113, 490, 1083, 1809, 2568, 3255,
3776, 4057, 4061, 3787, 3273, 2590, 1831, 1103, 505, 120,
1, 165, 589, 1214, 1955, 2708, 3370, 3850, 4080, 4030,
3706, 3152, 2447, 1686, 974, 412, 75, 11, 228, 697,
1352, 2104, 2847, 3481, 3916, 4093, 3987, 3613, 3023, 2298,
1538, 849, 325, 40, 32, 302, 814, 1497, 2255, 2985,
3585, 3973, 4094, 3933, 3510, 2885, 2145, 1391, 728, 247,
15, 65, 388, 942, 1648, 2409, 3121, 3684, 4020, 4084,
3866, 3396, 2740, 1988, 1244, 611, 177, 2, 110, 486,
1078, 1804, 2564, 3253, 3774, 4057, 4061, 3787, 3272, 2587,
1828, 1099, 501, 118, 1, 168, 595, 1223, 1966, 2719,
3380, 3856, 4082, 4026, 3696, 3137, 2428, 1666, 957, 399,
69, 13, 239, 716, 1377, 2131, 2873, 3501, 3928, 4094,
3976, 3592, 2993, 2263, 1504, 819, 305, 33, 39, 324,
848, 1538, 2299, 3024, 3615, 3988, 4092, 3913, 3475, 2839,
2094, 1342, 688, 222, 9, 79, 422, 991, 1706, 2468,
3172, 3720, 4036, 4077, 3836, 3346, 2677, 1921, 1182, 563,
150, 0, 134, 534, 1144, 1879, 2637, 3314, 3815, 4071,
4046, 3743, 3206, 2507, 1745, 1025, 447, 91, 6, 205,
659, 1307, 2057, 2806, 3449, 3898, 4090, 3999, 3637, 3054,
2331, 1569, 873, 341, 45, 28, 291, 798, 1478, 2238,
2971, 3576, 3969, 4095, 3936, 3515, 2891, 2149, 1393, 728,
246, 15, 66, 392, 948, 1657, 2420, 3132, 3693, 4025,
4082, 3857, 3380, 2718, 1963, 1220, 591, 165, 1, 121,
509, 1111, 1843, 2603, 3287, 3798, 4065, 4052, 3761, 3231,
2537, 1774, 1050, 464, 99, 4, 194, 641, 1284, 2033,
2785, 3433, 3889, 4089, 4005, 3648, 3069, 2348, 1585, 886,
349, 48, 25, 284, 788, 1467, 2227, 2962, 3570, 3966,
4095, 3939, 3519, 2895, 2153, 1396, 730, 247, 15, 66,
392, 949, 1659, 2423, 3135, 3695, 4026, 4082, 3854, 3375,
2711, 1954, 1211, 584, 161, 1, 125, 518, 1123, 1857,
2618, 3299, 3806, 4068, 4049, 3750, 3215, 2517, 1753, 1031,
450, 92, 6, 205, 660, 1309, 2061, 2811, 3454, 3902,
4091, 3995, 3628, 3041, 2315, 1552, 857, 329, 41, 32,
304, 819, 1505, 2267, 2999, 3598, 3980, 4093, 3921, 3488,
2854, 2107, 1352, 694, 225, 10, 79, 423, 993, 1711,
2475, 3180, 3727, 4040, 4074, 3826, 3330, 2655, 1895, 1157,
542, 138, 0, 148, 561, 1181, 1923, 2681, 3352, 3840,
4078, 4033, 3710, 3156, 2447, 1682, 968, 405, 71, 13,
239, 718, 1382, 2139, 2884, 3511, 3935, 4094, 3968, 3574,
2967, 2231, 1469, 789, 284, 25, 49, 352, 892, 1593,
2358, 3079, 3657, 4009, 4088, 3881, 3418, 2764, 2010, 1261,
621, 181, 2, 109, 487, 1082, 1813, 2576, 3266, 3785,
4061, 4056, 3770, 3244, 2550, 1786, 1058, 469, 100, 4,
193, 642, 1287, 2039, 2791, 3440, 3894, 4090, 4000, 3637,
3052, 2326, 1561, 865, 333, 42, 31, 302, 817, 1505,
2268, 3000, 3600, 3982, 4093, 3918, 3482, 2845, 2096, 1340,
684, 218, 8, 84, 434, 1011, 1732, 2497, 3200, 3741,
4046, 4070, 3811, 3306, 2624, 1862, 1125, 518, 125, 1,
163, 590, 1220, 1967, 2724, 3387, 3863, 4084, 4020, 3680,
3111, 2393, 1627, 920, 370, 56, 21, 269, 767, 1444,
2206, 2945, 3559, 3961, 4095, 3942, 3524, 2898, 2154, 1394,
727, 244, 14, 69, 401, 964, 1679, 2446, 3156, 3712,
4034, 4077, 3836, 3345, 2671, 1910, 1168, 550, 141, 0,
146, 558, 1180, 1923, 2683, 3355, 3843, 4079, 4030, 3704,
3145, 2432, 1665, 952, 392, 65, 16, 252, 739, 1411,
2171, 2915, 3536, 3949, 4095, 3954, 3545, 2926, 2183, 1422,
749, 257, 17, 62, 386, 943, 1654, 2422, 3136, 3698,
4028, 4080, 3847, 3361, 2691, 1930, 1186, 563, 148, 0,
140, 547, 1165, 1907, 2669, 3344, 3836, 4077, 4034, 3711,
3154, 2442, 1675, 960, 398, 67, 15, 248, 734, 1405,
2166, 2910, 3533, 3948, 4095, 3955, 3546, 2927, 2185, 1423,
749, 257, 17, 62, 387, 945, 1658, 2425, 3140, 3701,
4029, 4079, 3844, 3355, 2683, 1922, 1178, 556, 144, 0,
144, 555, 1176, 1920, 2682, 3354, 3843, 4079, 4030, 3701,
3140, 2425, 1658, 944, 387, 62, 17, 258, 750, 1425,
2188, 2931, 3549, 3956, 4095, 3945, 3529, 2904, 2158, 1397,
727, 243, 14, 70, 405, 971, 1688, 2457, 3167, 3720,
4038, 4075, 3827, 3328, 2649, 1885, 1144, 531, 131, 0,
158, 583, 1213, 1961, 2721, 3387, 3863, 4084, 4018, 3675,
3102, 2381, 1612, 905, 359, 51, 24, 282, 789, 1473,
2238, 2977, 3584, 3975, 4094, 3925, 3491, 2854, 2103, 1344,
685, 217, 8, 86, 440, 1022, 1747, 2516, 3218, 3755,
4051, 4065, 3795, 3278, 2587, 1821, 1086, 487, 108, 3,
186, 631, 1276, 2030, 2787, 3439, 3895, 4090, 3997, 3630,
3038, 2307, 1540, 844, 318, 36, 37, 323, 851, 1549,
2317, 3047, 3636, 4000, 4090, 3890, 3431, 2777, 2019, 1266,
623, 181, 2, 112, 496, 1098, 1835, 2601, 3290, 3803,
4068, 4048, 3745, 3203, 2498, 1728, 1005, 428, 80, 10,
228, 702, 1367, 2128, 2878, 3510, 3936, 4095, 3964, 3563,
2948, 2206, 1441, 762, 264, 19, 60, 382, 939, 1653,
2423, 3140, 3702, 4030, 4079, 3840, 3348, 2672, 1908, 1163,
544, 137, 0, 153, 573, 1202, 1951, 2713, 3381, 3861,
4084, 4019, 3675, 3102, 2379, 1609, 901, 356, 49, 26,
288, 799, 1487, 2254, 2992, 3596, 3981, 4093, 3915, 3474,
2830, 2075, 1317, 662, 203, 5, 96, 463, 1055, 1786,
2555, 3252, 3779, 4060, 4057, 3769, 3237, 2538, 1768, 1038,
452, 91, 7, 212, 676, 1336, 2095, 2848, 3488, 3924,
4094, 3974, 3581, 2972, 2231, 1464, 780, 275, 22, 55,
371, 924, 1636, 2406, 3126, 3693, 4027, 4080, 3846, 3356,
2681, 1917, 1171, 549, 139, 0, 151, 571, 1200, 1949,
2712, 3381, 3861, 4084, 4018, 3673, 3097, 2373, 1603, 895,
351, 47, 27, 294, 809, 1499, 2268, 3005, 3607, 3987,
4092, 3908, 3459, 2811, 2054, 1296, 645, 193, 3, 104,
481, 1080, 1816, 2585, 3277, 3796, 4066, 4050, 3750, 3208,
2502, 1731, 1005, 427, 79, 10, 231, 709, 1377, 2141,
2891, 3521, 3943, 4095, 3957, 3547, 2925, 2178, 1413, 738,
248, 14, 69, 405, 974, 1695, 2467, 3179, 3730, 4042,
4071, 3813, 3304, 2617, 1848, 1108, 501, 114, 2, 180,
623, 1269, 2025, 2785, 3440, 3896, 4091, 3995, 3622, 3025,
2290, 1520, 825, 304, 30, 44, 342, 882, 1588, 2359,
3086, 3666, 4015, 4085, 3865, 3387, 2718, 1954, 1203, 572,
151, 0, 140, 551, 1175, 1922, 2688, 3363, 3850, 4082,
4024, 3684, 3112, 2389, 1617, 906, 358, 50, 26, 289,
803, 1494, 2264, 3002, 3605, 3987, 4092, 3907, 3457, 2806,
2047, 1289, 638, 188, 3, 108, 490, 1093, 1832, 2602,
3293, 3806, 4070, 4045, 3736, 3187, 2475, 1703, 979, 408,
70, 14, 247, 737, 1413, 2180, 2927, 3550, 3958, 4095,
3940, 3515, 2881, 2129, 1365, 698, 223, 9, 84, 440,
1024, 1754, 2526, 3230, 3766, 4056, 4060, 3778, 3249, 2549,
1777, 1044, 454, 91, 7, 214, 682, 1345, 2108, 2862,
3501, 3932, 4095, 3965, 3563, 2944, 2198, 1430, 750, 255,
16, 66, 399, 967, 1689, 2462, 3176, 3729, 4042, 4071,
3811, 3300, 2609, 1839, 1098, 493, 110, 3, 187, 637,
1289, 2048, 2808, 3459, 3908, 4092, 3985, 3601, 2995, 2254,
1484, 794, 283, 23, 53, 368, 922, 1637, 2410, 3132,
3699, 4030, 4078, 3837, 3340, 2658, 1889, 1143, 526, 126,
1, 168, 603, 1244, 2001, 2764, 3424, 3888, 4090, 3999,
3630, 3034, 2298, 1526, 828, 305, 30, 44, 344, 887,
1596, 2370, 3097, 3675, 4020, 4083, 3855, 3369, 2694, 1927,
1177, 551, 139, 0, 154, 578, 1212, 1966, 2731, 3399,
3873, 4087, 4009, 3650, 3063, 2330, 1557, 854, 321, 36,
38, 328, 863, 1568, 2341, 3073, 3658, 4012, 4086, 3868,
3389, 2719, 1953, 1200, 568, 148, 0, 145, 562, 1191,
1943, 2710, 3382, 3864, 4085, 4015, 3663, 3080, 2349, 1575,
869, 331, 39, 35, 318, 849, 1552, 2325, 3059, 3648,
4008, 4087, 3874, 3400, 2732, 1966, 1212, 577, 153, 0,
140, 554, 1181, 1933, 2701, 3375, 3859, 4084, 4017, 3668,
3087, 2357, 1582, 875, 335, 40, 34, 315, 845, 1547,
2321, 3056, 3646, 4007, 4087, 3875, 3401, 2733, 1967, 1212,
577, 153, 0, 141, 555, 1183, 1935, 2703, 3377, 3861,
4084, 4016, 3665, 3083, 2352, 1577, 870, 331, 39, 35,
319, 851, 1555, 2330, 3063, 3652, 4010, 4086, 3871, 3393,
2723, 1956, 1202, 569, 148, 0, 146, 564, 1196, 1949,
2717, 3389, 3868, 4086, 4011, 3655, 3068, 2335, 1560, 855,
322, 36, 39, 330, 868, 1575, 2350, 3082, 3665, 4016,
4084, 3860, 3376, 2701, 1932, 1180, 552, 139, 0, 155,
582, 1219, 1976, 2742, 3409, 3880, 4088, 4003, 3637, 3043,
2305, 1531, 831, 305, 30, 45, 347, 894, 1607, 2383,
3110, 3685, 4025, 4080, 3844, 3349, 2667, 1896, 1147, 527,
126, 1, 170, 609, 1255, 2015, 2779, 3439, 3898, 4091,
3991, 3611, 3006, 2264, 1490, 796, 283, 23, 54, 372,
931, 1651, 2427, 3149, 3713, 4037, 4074, 3821, 3312, 2621,
1848, 1103, 495, 109, 3, 191, 645, 1302, 2066, 2827,
3476, 3920, 4094, 3973, 3576, 2958, 2209, 1437, 753, 255,
16, 68, 406, 979, 1707, 2484, 3198, 3746, 4050, 4065,
3790, 3264, 2563, 1788, 1050, 455, 90, 7, 218, 692,
1361, 2130, 2886, 3522, 3945, 4095, 3950, 3531, 2898, 2143,
1374, 702, 224, 8, 87, 448, 1039, 1776, 2552, 3255,
3784, 4063, 4052, 3751, 3205, 2493, 1715, 986, 410, 70,
15, 253, 749, 1433, 2205, 2955, 3574, 3973, 4094, 3920,
3476, 2826, 2064, 1299, 643, 189, 3, 111, 500, 1111,
1857, 2631, 3321, 3827, 4076, 4033, 3703, 3135, 2409, 1632,
914, 360, 49, 27, 296, 818, 1517, 2293, 3034, 3632,
4001, 4089, 3882, 3410, 2741, 1973, 1215, 577, 152, 0,
144, 562, 1195, 1951, 2721, 3394, 3872, 4087, 4007, 3645,
3051, 2313, 1537, 834, 306, 30, 45, 350, 899, 1615,
2393, 3121, 3694, 4029, 4078, 3834, 3331, 2643, 1869, 1121,
507, 115, 2, 185, 637, 1293, 2058, 2821, 3473, 3918,
4094, 3973, 3574, 2955, 2204, 1431, 747, 250, 14, 72,
415, 994, 1726, 2504, 3216, 3759, 4055, 4060, 3775, 3240,
2532, 1754, 1019, 432, 79, 11, 237, 725, 1404, 2177,
2930, 3556, 3964, 4094, 3929, 3491, 2844, 2082, 1315, 654,
195, 3, 108, 493, 1103, 1849, 2625, 3317, 3825, 4076,
4033, 3703, 3134, 2407, 1628, 910, 356, 48, 28, 302,
827, 1530, 2307, 3047, 3642, 4007, 4087, 3872, 3393, 2719,
1948, 1191, 558, 141, 0, 155, 585, 1226, 1986, 2755,
3422, 3889, 4090, 3995, 3618, 3013, 2268, 1491, 795, 281,
22, 57, 380, 945, 1670, 2449, 3170, 3729, 4044, 4069,
3802, 3280, 2580, 1802, 1060, 461, 92, 7, 217, 693,
1365, 2136, 2894, 3530, 3950, 4095, 3943, 3516, 2876, 2116,
1346, 678, 208, 5, 99, 475, 1079, 1823, 2601, 3298,
3813, 4073, 4038, 3715, 3150, 2425, 1645, 924, 365, 51,
26, 295, 818, 1519, 2297, 3039, 3637, 4004, 4088, 3875,
3397, 2723, 1951, 1193, 559, 141, 0, 156, 587, 1229,
1991, 2761, 3427, 3893, 4091, 3992, 3611, 3003, 2256, 1479,
784, 273, 20, 61, 390, 961, 1689, 2469, 3188, 3741,
4049, 4065, 3789, 3259, 2554, 1775, 1035, 443, 83, 10,
232, 718, 1397, 2171, 2927, 3555, 3964, 4094, 3927, 3487,
2838, 2073, 1305, 645, 189, 2, 114, 506, 1122, 1873,
2650, 3338, 3839, 4080, 4025, 3682, 3102, 2369, 1588, 875,
332, 38, 37, 328, 869, 1582, 2362, 3097, 3679, 4023,
4081, 3842, 3342, 2654, 1878, 1126, 509, 115, 2, 187,
643, 1303, 2072, 2836, 3487, 3927, 4094, 3964, 3554, 2925,
2168, 1394, 715, 230, 9, 85, 447, 1042, 1783, 2563,
3268, 3795, 4067, 4046, 3734, 3176, 2453, 1672, 945, 379,
56, 23, 285, 803, 1503, 2282, 3027, 3629, 4001, 4088,
3878, 3402, 2728, 1955, 1195, 560, 141, 0, 158, 591,
1236, 1999, 2770, 3435, 3898, 4092, 3987, 3600, 2986, 2236,
1458, 766, 261, 16, 68, 408, 987, 1720, 2502, 3217,
3762, 4056, 4058, 3767, 3225, 2511, 1730, 995, 413, 70,
15, 257, 760, 1450, 2228, 2980, 3595, 3985, 4092, 3901,
3439, 2775, 2004, 1240, 593, 159, 0, 140, 558, 1194,
1954, 2728, 3402, 3879, 4089, 4000, 3627, 3023, 2277, 1497,
797, 281, 22, 58, 385, 955, 1685, 2467, 3188, 3742,
4050, 4064, 3785, 3251, 2542, 1761, 1021, 432, 78, 12,
243, 738, 1424, 2201, 2956, 3578, 3976, 4093, 3911, 3457,
2796, 2027, 1260, 608, 167, 1, 133, 545, 1177, 1936,
2711, 3390, 3872, 4087, 4005, 3636, 3035, 2290, 1509, 807,
287, 23, 56, 380, 947, 1676, 2458, 3181, 3738, 4048,
4065, 3788, 3255, 2547, 1765, 1024, 433, 79, 12, 243,
737, 1424, 2202, 2957, 3579, 3977, 4093, 3910, 3454, 2792,
2022, 1255, 604, 165, 0, 136, 551, 1185, 1945, 2721,
3397, 3877, 4088, 4001, 3628, 3024, 2276, 1496, 796, 279,
21, 60, 389, 962, 1693, 2477, 3197, 3749, 4052, 4062,
3776, 3238, 2525, 1742, 1004, 419, 72, 15, 255, 758,
1450, 2229, 2982, 3598, 3987, 4092, 3897, 3431, 2763, 1990,
1225, 581, 152, 0, 148, 575, 1218, 1982, 2755, 3425,
3893, 4091, 3989, 3603, 2988, 2236, 1456, 763, 258, 15,
71, 416, 1000, 1738, 2521, 3235, 3775, 4061, 4053, 3750,
3197, 2476, 1692, 960, 388, 59, 21, 281, 800, 1502,
2283, 3031, 3634, 4004, 4087, 3871, 3388, 2708, 1931, 1171,
540, 129, 1, 172, 619, 1276, 2045, 2815, 3473, 3921,
4094, 3967, 3558, 2928, 2168, 1391, 710, 225, 8, 90,
460, 1063, 1810, 2592, 3294, 3814, 4074, 4036, 3706, 3133,
2401, 1616, 895, 343, 42, 34, 323, 865, 1580, 2365,
3102, 3685, 4027, 4078, 3831, 3322, 2626, 1845, 1093, 482,
100, 5, 210, 685, 1360, 2136, 2899, 3537, 3956, 4095,
3932, 3493, 2841, 2073, 1301, 638, 183, 2, 121, 524,
1150, 1909, 2688, 3373, 3863, 4086, 4009, 3644, 3044, 2298,
1515, 810, 287, 23, 57, 383, 955, 1687, 2472, 3195,
3749, 4052, 4061, 3774, 3233, 2517, 1732, 994, 410, 68,
17, 264, 774, 1471, 2254, 3005, 3616, 3996, 4089, 3882,
3405, 2728, 1951, 1188, 551, 135, 0, 167, 611, 1266,
2036, 2808, 3468, 3918, 4094, 3968, 3559, 2928, 2167, 1389,
707, 223, 7, 92, 465, 1071, 1821, 2604, 3305, 3821,
4076, 4032, 3695, 3116, 2380, 1594, 875, 329, 36, 40,
339, 890, 1611, 2397, 3132, 3706, 4036, 4073, 3812, 3290,
2586, 1802, 1054, 453, 86, 9, 233, 723, 1409, 2190,
2949, 3575, 3976, 4093, 3908, 3449, 2783, 2009, 1240, 591,
156, 0, 146, 573, 1217, 1983, 2759, 3430, 3898, 4092,
3984, 3591, 2971, 2214, 1432, 741, 243, 11, 80, 439,
1035, 1781, 2566, 3274, 3802, 4070, 4041, 3717, 3146, 2414,
1627, 903, 347, 43, 34, 322, 866, 1583, 2370, 3108,
3690, 4030, 4077, 3824, 3309, 2608, 1824, 1073, 466, 92,
7, 224, 710, 1393, 2173, 2935, 3565, 3971, 4094, 3913,
3458, 2794, 2019, 1249, 597, 159, 0, 144, 569, 1212,
1979, 2756, 3428, 3897, 4092, 3985, 3591, 2970, 2212, 1430,
739, 242, 11, 81, 442, 1041, 1788, 2573, 3281, 3806,
4072, 4038, 3710, 3136, 2401, 1614, 891, 339, 39, 37,
332, 881, 1602, 2389, 3126, 3703, 4035, 4074, 3812, 3290,
2584, 1798, 1050, 449, 84, 10, 238, 733, 1422, 2205,
2964, 3587, 3983, 4092, 3899, 3431, 2759, 1982, 1214, 570,
144, 0, 159, 598, 1251, 2022, 2797, 3461, 3916, 4094,
3969, 3560, 2927, 2163, 1383, 701, 218, 6, 97, 476,
1088, 1842, 2627, 3326, 3835, 4080, 4023, 3674, 3084, 2341,
1554, 840, 305, 28, 50, 368, 935, 1667, 2455, 3183,
3743, 4051, 4062, 3775, 3232, 2513, 1726, 986, 403, 64,
19, 275, 793, 1498, 2284, 3035, 3639, 4008, 4086, 3862,
3369, 2680, 1897, 1136, 511, 114, 3, 195, 662, 1335,
2113, 2882, 3526, 3952, 4095, 3934, 3494, 2839, 2066, 1291,
628, 176, 1, 130, 543, 1180, 1945, 2726, 3405, 3884,
4090, 3993, 3607, 2990, 2233, 1448, 753, 249, 13, 78,
436, 1033, 1780, 2568, 3278, 3805, 4072, 4038, 3708, 3132,
2395, 1606, 883, 333, 37, 40, 341, 895, 1620, 2409,
3145, 3717, 4041, 4069, 3797, 3265, 2553, 1765, 1019, 426,
73, 15, 258, 767, 1466, 2252, 3007, 3620, 3999, 4088,
3874, 3389, 2704, 1922, 1158, 526, 121, 2, 187, 648,
1318, 2096, 2866, 3516, 3946, 4095, 3939, 3502, 2849, 2076,
1300, 634, 179, 1, 128, 540, 1176, 1942, 2724, 3405,
3884, 4090, 3992, 3605, 2987, 2228, 1443, 748, 246, 12,
81, 442, 1042, 1792, 2580, 3289, 3813, 4074, 4034, 3698,
3117, 2376, 1587, 866, 321, 33, 45, 354, 916, 1646,
2436, 3168, 3734, 4048, 4064, 3781, 3239, 2520, 1730, 988,
403, 64, 19, 277, 798, 1506, 2294, 3045, 3648, 4012,
4084, 3853, 3352, 2658, 1872, 1113, 493, 104, 5, 210,
689, 1370, 2152, 2919, 3556, 3968, 4094, 3915, 3458, 2790,
2012, 1240, 587, 152, 0, 153, 588, 1241, 2014, 2792,
3459, 3916, 4094, 3967, 3554, 2917, 2150, 1367, 686, 208,
5, 105, 496, 1117, 1878, 2664, 3358, 3856, 4085, 4010,
3642, 3037, 2284, 1495, 789, 271, 18, 67, 412, 1001,
1746, 2536, 3253, 3790, 4068, 4043, 3722, 3150, 2414, 1623,
895, 340, 39, 38, 337, 891, 1618, 2409, 3146, 3719,
4042, 4068, 3793, 3256, 2540, 1749, 1004, 414, 68, 17,
270, 788, 1494, 2283, 3037, 3642, 4010, 4085, 3855, 3356,
2661, 1874, 1113, 492, 103, 5, 212, 692, 1376, 2159,
2926, 3562, 3971, 4093, 3910, 3448, 2777, 1997, 1224, 575,
145, 0, 161, 604, 1262, 2038, 2815, 3478, 3927, 4095,
3956, 3533, 2887, 2116, 1335, 660, 193, 2, 118, 522,
1154, 1920, 2705, 3391, 3877, 4089, 3996, 3611, 2993, 2233,
1445, 748, 245, 11, 82, 447, 1052, 1805, 2595, 3302,
3822, 4077, 4028, 3683, 3093, 2346, 1555, 838, 301, 26,
54, 379, 955, 1694, 2486, 3212, 3764, 4059, 4053, 3747,
3187, 2456, 1663, 929, 362, 47, 31, 318, 863, 1586,
2378, 3120, 3702, 4036, 4072, 3805, 3275, 2561, 1770, 1021,
425, 72, 15, 263, 778, 1483, 2272, 3028, 3637, 4008,
4085, 3857, 3358, 2662, 1875, 1113, 491, 102, 5, 214,
698, 1384, 2169, 2936, 3570, 3976, 4093, 3903, 3435, 2759,
1977, 1205, 559, 137, 1, 171, 623, 1289, 2068, 2845,
3501, 3940, 4095, 3943, 3507, 2852, 2076, 1296, 629, 174,
1, 134, 555, 1199, 1971, 2754, 3431, 3901, 4093, 3977,
3573, 2939, 2172, 1386, 699, 215, 5, 102, 491, 1113,
1876, 2664, 3360, 3859, 4086, 4007, 3634, 3023, 2265, 1475,
771, 258, 14, 75, 433, 1032, 1784, 2576, 3288, 3814,
4075, 4031, 3690, 3102, 2355, 1563, 843, 304, 27, 53,
379, 956, 1696, 2489, 3216, 3768, 4061, 4051, 3741, 3176,
2442, 1648, 914, 351, 43, 35, 330, 883, 1611, 2405,
3145, 3720, 4043, 4067, 3787, 3246, 2525, 1731, 986, 400,
61, 21, 286, 816, 1530, 2323, 3074, 3671, 4023, 4079,
3829, 3312, 2604, 1812, 1056, 449, 83, 11, 246, 752,
1453, 2243, 3004, 3621, 4001, 4087, 3867, 3373, 2680, 1891,
1126, 500, 106, 5, 211, 693, 1379, 2166, 2935, 3570,
3977, 4093, 3901, 3430, 2751, 1967, 1194, 550, 131, 1,
179, 638, 1309, 2091, 2867, 3520, 3950, 4095, 3931, 3483,
2820, 2040, 1261, 601, 158, 0, 150, 586, 1242, 2020,
2801, 3469, 3923, 4095, 3958, 3533, 2884, 2110, 1326, 651,
186, 2, 125, 539, 1180, 1951, 2737, 3419, 3895, 4092,
3981, 3579, 2946, 2177, 1389, 700, 215, 5, 104, 495,
1120, 1885, 2675, 3370, 3866, 4087, 4001, 3621, 3003, 2241,
1450, 749, 244, 11, 85, 454, 1064, 1823, 2615, 3322,
3836, 4081, 4019, 3660, 3057, 2302, 1509, 797, 274, 18,
68, 417, 1012, 1763, 2557, 3274, 3806, 4073, 4034, 3695,
3108, 2360, 1566, 844, 303, 26, 54, 383, 963, 1707,
2502, 3228, 3777, 4064, 4047, 3728, 3155, 2415, 1620, 889,
333, 36, 42, 352, 917, 1653, 2449, 3184, 3747, 4054,
4058, 3758, 3199, 2467, 1671, 933, 362, 46, 33, 323,
875, 1603, 2399, 3141, 3719, 4043, 4067, 3785, 3240, 2516,
1720, 974, 391, 57, 24, 298, 835, 1556, 2351, 3100,
3691, 4032, 4074, 3809, 3278, 2561, 1767, 1014, 418, 68,
18, 274, 799, 1512, 2306, 3061, 3663, 4021, 4080, 3832,
3314, 2604, 1810, 1052, 445, 80, 13, 253, 765, 1471,
2264, 3024, 3637, 4009, 4085, 3852, 3346, 2644, 1851, 1088,
471, 92, 9, 234, 734, 1433, 2225, 2990, 3612, 3998,
4088, 3870, 3375, 2680, 1889, 1122, 495, 103, 5, 217,
706, 1398, 2188, 2957, 3588, 3986, 4091, 3886, 3402, 2714,
1924, 1153, 518, 114, 3, 202, 680, 1366, 2154, 2927,
3566, 3975, 4093, 3900, 3427, 2744, 1956, 1182, 539, 125,
2, 189, 657, 1337, 2124, 2899, 3546, 3965, 4094, 3912,
3448, 2772, 1986, 1209, 559, 135, 1, 177, 637, 1310,
2096, 2874, 3527, 3955, 4095, 3923, 3468, 2797, 2012, 1233,
577, 144, 0, 167, 618, 1287, 2071, 2851, 3509, 3946,
4095, 3933, 3485, 2819, 2036, 1254, 593, 153, 0, 158,
602, 1266, 2048, 2831, 3494, 3938, 4095, 3941, 3500, 2838,
2057, 1273, 608, 161, 0, 150, 588, 1248, 2029, 2813,
3481, 3931, 4095, 3948, 3513, 2855, 2074, 1290, 620, 167,
0, 144, 577, 1233, 2013, 2798, 3469, 3924, 4095, 3954,
3523, 2869, 2089, 1304, 631, 173, 0, 139, 567, 1220,
1999, 2786, 3460, 3919, 4094, 3958, 3532, 2880, 2101, 1315,
639, 178, 1, 135, 560, 1211, 1989, 2776, 3452, 3915,
4094, 3962, 3538, 2888, 2110, 1323, 646, 181, 1, 132,
554, 1203, 1981, 2769, 3447, 3912, 4094, 3964, 3543, 2894,
2117, 1329, 650, 184, 1, 130, 551, 1199, 1976, 2765,
3444, 3911, 4094, 3966, 3545, 2897, 2120, 1332, 652, 185,
1, 129, 549, 1197, 1974, 2763, 3443, 3910, 4094, 3966,
3546, 2898, 2120, 1332, 652, 185, 1, 129, 549, 1198,
1975, 2764, 3444, 3911, 4094, 3965, 3545, 2896, 2118, 1329,
650, 184, 1, 131, 552, 1201, 1979, 2768, 3447, 3912,
4094, 3964, 3541, 2891, 2113, 1324, 646, 181, 1, 133,
556, 1207, 1986, 2775, 3452, 3915, 4094, 3961, 3536, 2884,
2104, 1316, 640, 178, 1, 136, 563, 1216, 1996, 2784,
3459, 3920, 4094, 3957, 3528, 2874, 2093, 1306, 631, 173,
0, 140, 571, 1227, 2009, 2796, 3469, 3925, 4095, 3952,
3519, 2861, 2079, 1292, 621, 167, 0, 146, 582, 1241,
2024, 2810, 3480, 3931, 4095, 3946, 3507, 2846, 2062, 1276,
608, 160, 0, 153, 594, 1258, 2042, 2828, 3493, 3939,
4095, 3939, 3493, 2827, 2042, 1258, 594, 152, 0, 160,
609, 1278, 2064, 2847, 3509, 3947, 4095, 3930, 3478, 2807,
2020, 1237, 578, 144, 0, 170, 626, 1300, 2088, 2870,
3526, 3956, 4094, 3920, 3459, 2783, 1994, 1213, 560, 134,
1, 181, 646, 1325, 2115, 2895, 3545, 3966, 4094, 3909,
3439, 2756, 1965, 1187, 540, 124, 2, 193, 667, 1353,
2145, 2922, 3565, 3976, 4092, 3895, 3416, 2727, 1934, 1158,
519, 113, 4, 207, 692, 1384, 2178, 2952, 3587, 3987,
4090, 3881, 3390, 2694, 1900, 1127, 496, 102, 6, 222,
718, 1418, 2214, 2984, 3611, 3999, 4087, 3864, 3362, 2659,
1862, 1094, 472, 91, 9, 240, 748, 1455, 2252, 3018,
3636, 4010, 4084, 3845, 3332, 2621, 1823, 1059, 446, 79,
14, 260, 780, 1494, 2293, 3055, 3662, 4022, 4079, 3825,
3298, 2580, 1780, 1021, 419, 68, 19, 282, 815, 1537,
2338, 3094, 3689, 4033, 4073, 3802, 3262, 2535, 1734, 981,
392, 56, 26, 306, 853, 1583, 2384, 3134, 3717, 4044,
4065, 3776, 3222, 2488, 1686, 940, 363, 45, 34, 332,
894, 1632, 2434, 3177, 3746, 4055, 4056, 3748, 3180, 2438,
1635, 896, 334, 35, 45, 362, 938, 1684, 2486, 3221,
3775, 4065, 4045, 3718, 3134, 2384, 1582, 852, 305, 26,
57, 394, 985, 1739, 2541, 3266, 3805, 4074, 4031, 3684,
3085, 2327, 1526, 805, 275, 17, 71, 429, 1035, 1797,
2598, 3313, 3835, 4081, 4016, 3647, 3033, 2267, 1468, 758,
245, 10, 88, 467, 1089, 1859, 2657, 3362, 3864, 4088,
3997, 3607, 2977, 2205, 1408, 709, 216, 5, 108, 509,
1147, 1923, 2719, 3411, 3893, 4092, 3976, 3564, 2918, 2139,
1345, 659, 187, 1, 130, 554, 1208, 1990, 2782, 3461,
3922, 4095, 3952, 3517, 2856, 2070, 1280, 609, 159, 0,
156, 603, 1272, 2061, 2848, 3511, 3949, 4095, 3925, 3466,
2789, 1998, 1214, 559, 132, 1, 185, 655, 1340, 2134,
2915, 3562, 3975, 4092, 3894, 3412, 2719, 1923, 1146, 508,
107, 5, 218, 712, 1412, 2210, 2983, 3612, 4000, 4087,
3860, 3353, 2646, 1846, 1077, 458, 84, 12, 254, 773,
1488, 2289, 3053, 3662, 4022, 4078, 3821, 3290, 2568, 1766,
1007, 408, 62, 22, 295, 837, 1567, 2370, 3124, 3711,
4043, 4066, 3778, 3223, 2487, 1683, 936, 359, 43, 37,
340, 907, 1649, 2454, 3195, 3760, 4060, 4050, 3731, 3152,
2403, 1599, 864, 312, 27, 55, 390, 980, 1736, 2539,
3267, 3806, 4074, 4030, 3679, 3076, 2315, 1512, 792, 266,
15, 77, 444, 1058, 1825, 2627, 3339, 3851, 4085, 4005,
3622, 2996, 2223, 1424, 721, 222, 6, 105, 504, 1141,
1918, 2716, 3410, 3894, 4092, 3975, 3560, 2911, 2129, 1334,
649, 181, 1, 137, 568, 1228, 2015, 2806, 3481, 3934,
4095, 3940, 3492, 2822, 2031, 1243, 579, 143, 0, 175,
638, 1320, 2114, 2898, 3550, 3970, 4093, 3899, 3420, 2728,
1930, 1151, 511, 108, 5, 218, 714, 1416, 2216, 2990,
3618, 4003, 4086, 3853, 3341, 2629, 1827, 1059, 444, 77,
15, 267, 795, 1516, 2320, 3082, 3683, 4032, 4073, 3801,
3257, 2527, 1722, 967, 380, 51, 31, 323, 882, 1621,
2427, 3174, 3746, 4056, 4054, 3742, 3168, 2420, 1614, 876,
319, 29, 52, 384, 974, 1730, 2535, 3264, 3806, 4074,
4029, 3677, 3073, 2309, 1505, 785, 261, 13, 81, 453,
1072, 1842, 2645, 3354, 3861, 4087, 3997, 3605, 2972, 2195,
1395, 697, 207, 3, 116, 528, 1176, 1959, 2755, 3442,
3913, 4094, 3958, 3526, 2865, 2077, 1285, 610, 159, 0,
159, 611, 1285, 2078, 2866, 3527, 3959, 4094, 3912, 3441,
2753, 1956, 1174, 526, 115, 4, 209, 700, 1400, 2200,
2977, 3609, 3999, 4087, 3858, 3348, 2636, 1833, 1063, 446,
78, 15, 267, 796, 1519, 2324, 3086, 3687, 4034, 4072,
3796, 3248, 2514, 1708, 954, 370, 47, 34, 334, 900,
1644, 2450, 3195, 3761, 4061, 4048, 3725, 3141, 2387, 1581,
847, 299, 23, 62, 408, 1010, 1773, 2578, 3301, 3829,
4081, 4016, 3646, 3027, 2257, 1453, 742, 234, 8, 98,
492, 1127, 1905, 2706, 3404, 3891, 4092, 3975, 3558, 2907,
2122, 1325, 641, 175, 0, 144, 584, 1251, 2042, 2834,
3503, 3947, 4095, 3924, 3462, 2780, 1984, 1198, 544, 123,
2, 200, 684, 1381, 2181, 2961, 3598, 3995, 4088, 3864,
3357, 2647, 1843, 1071, 451, 80, 14, 265, 793, 1517,
2323, 3086, 3688, 4034, 4071, 3794, 3244, 2508, 1701, 947,
365, 45, 36, 341, 911, 1658, 2466, 3209, 3771, 4064,
4044, 3713, 3122, 2365, 1557, 826, 286, 19, 69, 426,
1036, 1804, 2610, 3328, 3846, 4085, 4006, 3622, 2993, 2216,
1414, 710, 214, 4, 113, 523, 1170, 1954, 2753, 3442,
3913, 4094, 3956, 3520, 2855, 2064, 1271, 598, 151, 0,
168, 629, 1311, 2108, 2895, 3551, 3972, 4093, 3895, 3409,
2711, 1909, 1129, 492, 98, 8, 235, 746, 1459, 2264,
3036, 3653, 4020, 4079, 3821, 3287, 2560, 1752, 991, 394,
55, 28, 315, 872, 1613, 2422, 3172, 3747, 4057, 4053,
3736, 3156, 2402, 1594, 856, 304, 24, 60, 406, 1009,
1773, 2580, 3304, 3832, 4082, 4013, 3638, 3015, 2240, 1436,
727, 224, 6, 106, 510, 1154, 1937, 2738, 3431, 3908,
4094, 3961, 3528, 2865, 2074, 1279, 604, 154, 0, 166,
626, 1308, 2105, 2894, 3550, 3972, 4093, 3894, 3407, 2707,
1905, 1124, 488, 96, 8, 240, 753, 1469, 2276, 3047,
3661, 4023, 4077, 3813, 3273, 2542, 1733, 974, 382, 51,
31, 327, 892, 1638, 2448, 3195, 3762, 4062, 4046, 3718,
3129, 2371, 1562, 828, 286, 19, 69, 429, 1042, 1812,
2619, 3337, 3853, 4086, 4001, 3610, 2974, 2194, 1391, 690,
202, 3, 123, 545, 1202, 1991, 2789, 3471, 3930, 4095,
3939, 3487, 2810, 2013, 1222, 560, 131, 2, 193, 674,
1371, 2173, 2956, 3597, 3995, 4088, 3861, 3351, 2636, 1830,
1057, 439, 74, 17, 278, 817, 1548, 2358, 3118, 3712,
4044, 4064, 3768, 3202, 2456, 1645, 898, 331, 32, 50,
380, 972, 1732, 2542, 3274, 3814, 4077, 4022, 3658, 3041,
2269, 1461, 746, 235, 7, 100, 498, 1139, 1922, 2725,
3422, 3903, 4094, 3963, 3533, 2869, 2077, 1280, 603, 153,
0, 168, 631, 1316, 2116, 2905, 3559, 3977, 4092, 3886,
3392, 2687, 1882, 1102, 471, 88, 11, 254, 779, 1502,
2311, 3079, 3685, 4034, 4071, 3791, 3237, 2496, 1685, 931,
352, 39, 42, 359, 941, 1697, 2508, 3246, 3797, 4073,
4031, 3677, 3068, 2298, 1490, 768, 248, 10, 92, 481,
1116, 1898, 2702, 3405, 3894, 4093, 3970, 3546, 2887, 2095,
1296, 615, 159, 0, 162, 621, 1303, 2103, 2893, 3551,
3973, 4092, 3890, 3398, 2695, 1889, 1108, 475, 89, 11,
253, 777, 1500, 2310, 3078, 3685, 4034, 4071, 3790, 3235,
2493, 1681, 927, 349, 38, 43, 363, 948, 1706, 2517,
3255, 3803, 4074, 4027, 3669, 3056, 2284, 1475, 756, 240,
8, 97, 493, 1134, 1918, 2723, 3421, 3903, 4094, 3962,
3529, 2863, 2069, 1271, 596, 149, 0, 174, 643, 1332,
2134, 2923, 3574, 3984, 4090, 3874, 3371, 2659, 1851, 1074,
450, 78, 15, 273, 810, 1541, 2353, 3116, 3711, 4044,
4063, 3764, 3195, 2446, 1633, 886, 321, 29, 54, 394,
993, 1759, 2570, 3299, 3831, 4082, 4012, 3633, 3004, 2224,
1417, 709, 211, 4, 118, 536, 1192, 1983, 2785, 3470,
3931, 4095, 3937, 3480, 2798, 1998, 1205, 546, 122, 3,
205, 698, 1404, 2211, 2993, 3625, 4009, 4083, 3837, 3308,
2581, 1769, 1002, 399, 56, 28, 317, 880, 1627, 2440,
3191, 3762, 4062, 4045, 3713, 3118, 2354, 1541, 809, 272,
15, 79, 453, 1079, 1858, 2666, 3377, 3878, 4091, 3981,
3565, 2911, 2120, 1317, 630, 167, 0, 157, 611, 1293,
2094, 2887, 3548, 3972, 4092, 3890, 3396, 2690, 1882, 1100,
468, 85, 12, 261, 791, 1520, 2332, 3099, 3701, 4041,
4066, 3772, 3206, 2457, 1644, 894, 326, 30, 53, 391,
991, 1757, 2570, 3300, 3832, 4082, 4011, 3629, 2998, 2216,
1408, 701, 206, 3, 122, 546, 1207, 2001, 2802, 3484,
3939, 4095, 3927, 3462, 2774, 1970, 1179, 525, 112, 5,
221, 725, 1439, 2249, 3027, 3650, 4020, 4078, 3815, 3272,
2536, 1722, 960, 370, 45, 37, 347, 926, 1682, 2496,
3239, 3794, 4072, 4030, 3675, 3062, 2288, 1476, 755, 238,
8, 100, 500, 1146, 1934, 2740, 3436, 3913, 4094, 3952,
3508, 2833, 2033, 1236, 567, 133, 1, 194, 680, 1382,
2190, 2975, 3614, 4004, 4085, 3843, 3316, 2589, 1776, 1006,
401, 57, 28, 318, 883, 1632, 2447, 3198, 3768, 4065,
4042, 3703, 3102, 2334, 1521, 791, 260, 12, 87, 472,
1107, 1891, 2700, 3405, 3896, 4093, 3966, 3535, 2869, 2072,
1271, 593, 146, 0, 179, 654, 1350, 2156, 2945, 3592,
3994, 4088, 3857, 3341, 2619, 1806, 1032, 419, 64, 23,
304, 861, 1606, 2422, 3178, 3754, 4060, 4047, 3717, 3121,
2356, 1541, 807, 270, 14, 81, 460, 1091, 1874, 2684,
3393, 3889, 4092, 3971, 3545, 2881, 2085, 1283, 602, 151,
0, 175, 647, 1341, 2147, 2938, 3587, 3992, 4088, 3860,
3345, 2624, 1811, 1035, 421, 64, 23, 303, 860, 1605,
2421, 3178, 3755, 4061, 4047, 3715, 3119, 2353, 1538, 804,
267, 14, 83, 464, 1097, 1881, 2691, 3399, 3893, 4093,
3968, 3538, 2871, 2073, 1272, 593, 146, 0, 181, 657,
1355, 2163, 2952, 3598, 3997, 4087, 3852, 3330, 2605, 1791,
1017, 408, 59, 26, 315, 879, 1629, 2445, 3198, 3769,
4065, 4041, 3700, 3096, 2325, 1510, 781, 253, 10, 92,
485, 1126, 1914, 2723, 3424, 3907, 4094, 3955, 3513, 2838,
2037, 1237, 567, 132, 2, 197, 687, 1393, 2204, 2989,
3625, 4010, 4082, 3831, 3295, 2562, 1746, 978, 381, 48,
34, 341, 919, 1677, 2494, 3240, 3796, 4073, 4028, 3668,
3050, 2272, 1458, 738, 227, 6, 109, 522, 1177, 1971,
2777, 3467, 3931, 4095, 3933, 3470, 2781, 1975, 1180, 524,
110, 5, 226, 736, 1456, 2270, 3048, 3667, 4028, 4073,
3796, 3240, 2494, 1677, 918, 340, 34, 49, 382, 981,
1750, 2566, 3300, 3834, 4083, 4008, 3620, 2981, 2194, 1383,
679, 192, 1, 137, 577, 1252, 2053, 2854, 3526, 3962,
4093, 3898, 3407, 2700, 1888, 1102, 467, 84, 14, 268,
806, 1543, 2360, 3127, 3722, 4049, 4058, 3745, 3162, 2401,
1583, 840, 289, 19, 72, 441, 1066, 1848, 2662, 3377,
3881, 4091, 3976, 3553, 2889, 2091, 1286, 603, 150, 0,
177, 653, 1351, 2161, 2952, 3599, 3998, 4086, 3848, 3323,
2594, 1777, 1004, 398, 55, 30, 327, 900, 1655, 2474,
3224, 3786, 4071, 4032, 3676, 3060, 2282, 1467, 744, 230,
6, 108, 520, 1176, 1972, 2779, 3470, 3933, 4095, 3930,
3463, 2771, 1963, 1168, 514, 105, 7, 234, 752, 1477,
2293, 3070, 3683, 4035, 4069, 3780, 3214, 2461, 1642, 888,
320, 27, 58, 407, 1018, 1794, 2611, 3337, 3857, 4088,
3992, 3585, 2933, 2138, 1329, 635, 167, 0, 160, 623,
1313, 2121, 2917, 3574, 3987, 4089, 3865, 3350, 2626, 1810,
1032, 416, 62, 25, 312, 877, 1629, 2448, 3203, 3773,
4067, 4037, 3689, 3078, 2302, 1485, 758, 238, 7, 103,
511, 1164, 1959, 2768, 3462, 3929, 4095, 3933, 3469, 2777,
1968, 1173, 517, 106, 6, 234, 752, 1477, 2294, 3072,
3685, 4036, 4068, 3777, 3208, 2454, 1634, 881, 314, 26,
61, 415, 1030, 1809, 2625, 3350, 3865, 4089, 3986, 3572,
2914, 2117, 1308, 618, 158, 0, 171, 642, 1339, 2149,
2944, 3594, 3996, 4086, 3849, 3323, 2593, 1775, 1000, 394,
53, 32, 334, 911, 1670, 2490, 3239, 3797, 4074, 4026,
3661, 3036, 2253, 1437, 719, 214, 3, 121, 547, 1214,
2015, 2821, 3503, 3952, 4094, 3908, 3424, 2719, 1905, 1115,
474, 86, 13, 266, 806, 1544, 2364, 3133, 3727, 4052,
4055, 3736, 3145, 2379, 1559, 817, 273, 15, 82, 465,
1103, 1892, 2706, 3414, 3903, 4094, 3956, 3511, 2832, 2026,
1224, 554, 124, 3, 211, 713, 1431, 2247, 3031, 3657,
4025, 4075, 3799, 3241, 2492, 1671, 911, 333, 31, 53,
396, 1004, 1780, 2599, 3329, 3853, 4087, 3993, 3587, 2932,
2136, 1325, 631, 164, 0, 165, 634, 1329, 2140, 2936,
3589, 3995, 4087, 3851, 3325, 2593, 1774, 999, 392, 52,
33, 337, 917, 1679, 2500, 3249, 3804, 4076, 4022, 3650,
3021, 2234, 1418, 703, 204, 2, 129, 565, 1240, 2044,
2849, 3525, 3963, 4093, 3894, 3397, 2683, 1867, 1080, 448,
74, 18, 289, 843, 1590, 2412, 3174, 3756, 4062, 4044,
3704, 3098, 2322, 1502, 770, 244, 8, 101, 507, 1162,
1959, 2770, 3465, 3932, 4095, 3928, 3458, 2761, 1949, 1153,
501, 98, 9, 249, 778, 1513, 2333, 3107, 3711, 4046,
4060, 3749, 3163, 2398, 1577, 831, 281, 16, 79, 459,
1095, 1885, 2701, 3411, 3902, 4094, 3956, 3510, 2828, 2021,
1217, 548, 120, 4, 217, 725, 1446, 2265, 3048, 3670,
4031, 4071, 3785, 3219, 2463, 1641, 884, 315, 25, 62,
419, 1039, 1821, 2640, 3364, 3875, 4091, 3977, 3552, 2884,
2081, 1273, 589, 141, 1, 191, 681, 1391, 2207, 2998,
3635, 4016, 4079, 3814, 3264, 2517, 1695, 930, 345, 35,
50, 387, 993, 1769, 2590, 3324, 3851, 4087, 3994, 3586,
2930, 2131, 1319, 624, 160, 0, 171, 645, 1346, 2160,
2956, 3605, 4003, 4084, 3836, 3300, 2561, 1739, 967, 369,
43, 41, 363, 957, 1728, 2550, 3291, 3831, 4083, 4006,
3612, 2965, 2170, 1355, 652, 175, 0, 157, 619, 1312,
2124, 2924, 3582, 3992, 4087, 3853, 3327, 2593, 1772, 995,
388, 50, 35, 345, 931, 1697, 2521, 3267, 3816, 4080,
4014, 3630, 2990, 2198, 1381, 672, 186, 1, 147, 600,
1288, 2099, 2901, 3566, 3984, 4089, 3864, 3345, 2615, 1794,
1014, 401, 55, 31, 334, 914, 1678, 2501, 3252, 3807,
4077, 4019, 3641, 3006, 2215, 1397, 684, 193, 1, 141,
590, 1275, 2085, 2889, 3556, 3980, 4090, 3870, 3354, 2627,
1805, 1023, 407, 57, 29, 328, 906, 1669, 2493, 3245,
3803, 4076, 4021, 3646, 3012, 2221, 1403, 689, 195, 1,
139, 587, 1271, 2081, 2886, 3555, 3979, 4090, 3870, 3355,
2628, 1806, 1024, 407, 57, 29, 329, 907, 1671, 2495,
3247, 3804, 4077, 4020, 3643, 3008, 2217, 1398, 685, 192,
1, 142, 591, 1278, 2089, 2893, 3560, 3982, 4090, 3866,
3348, 2618, 1796, 1015, 401, 54, 31, 335, 918, 1683,
2508, 3258, 3811, 4078, 4016, 3634, 2995, 2201, 1383, 673,
185, 1, 148, 604, 1294, 2107, 2910, 3573, 3988, 4088,
3857, 3332, 2598, 1775, 996, 388, 49, 35, 348, 937,
1706, 2531, 3277, 3824, 4081, 4009, 3618, 2971, 2175, 1358,
653, 174, 0, 159, 624, 1321, 2136, 2936, 3593, 3998,
4086, 3842, 3307, 2568, 1743, 968, 369, 42, 42, 367,
966, 1740, 2565, 3305, 3841, 4085, 3998, 3594, 2938, 2138,
1323, 625, 159, 0, 174, 653, 1358, 2176, 2973, 3619,
4010, 4081, 3822, 3274, 2526, 1701, 932, 344, 34, 51,
393, 1004, 1785, 2609, 3341, 3863, 4089, 3983, 3563, 2895,
2090, 1277, 590, 141, 1, 195, 690, 1406, 2227, 3018,
3652, 4024, 4074, 3795, 3231, 2474, 1648, 887, 315, 25,
64, 426, 1053, 1841, 2663, 3385, 3889, 4093, 3964, 3523,
2841, 2031, 1223, 549, 120, 4, 221, 736, 1465, 2288,
3072, 3690, 4039, 4065, 3761, 3178, 2411, 1585, 834, 281,
16, 81, 468, 1111, 1908, 2727, 3435, 3917, 4095, 3939,
3474, 2777, 1961, 1159, 502, 97, 10, 255, 792, 1534,
2360, 3135, 3732, 4055, 4050, 3719, 3115, 2337, 1512, 774,
244, 8, 104, 518, 1181, 1985, 2800, 3492, 3948, 4094,
3907, 3416, 2701, 1880, 1087, 450, 74, 19, 296, 859,
1615, 2442, 3205, 3779, 4070, 4031, 3668, 3041, 2252, 1429,
707, 204, 2, 134, 578, 1262, 2074, 2882, 3554, 3980,
4090, 3867, 3347, 2614, 1789, 1006, 394, 51, 34, 346,
936, 1708, 2535, 3282, 3828, 4083, 4005, 3608, 2956, 2155,
1337, 635, 164, 0, 171, 648, 1355, 2174, 2973, 3620,
4011, 4080, 3818, 3266, 2515, 1688, 919, 335, 31, 56,
407, 1026, 1812, 2636, 3365, 3878, 4092, 3971, 3537, 2858,
2047, 1237, 558, 124, 3, 217, 731, 1459, 2284, 3070,
3689, 4039, 4064, 3759, 3174, 2405, 1577, 826, 275, 14,
86, 478, 1127, 1927, 2747, 3452, 3927, 4095, 3928, 3453,
2748, 1929, 1129, 479, 86, 14, 275, 825, 1576, 2404,
3174, 3759, 4064, 4039, 3688, 3069, 2282, 1457, 728, 216,
3, 125, 562, 1242, 2054, 2865, 3542, 3974, 4091, 3873,
3357, 2626, 1800, 1015, 399, 53, 33, 344, 933, 1706,
2534, 3282, 3828, 4083, 4004, 3605, 2950, 2148, 1329, 628,
159, 0, 176, 659, 1370, 2191, 2989, 3633, 4017, 4078,
3806, 3246, 2490, 1661, 896, 319, 26, 63, 427, 1056,
1847, 2671, 3394, 3895, 4094, 3957, 3507, 2818, 2002, 1194,
526, 107, 7, 241, 772, 1511, 2339, 3119, 3723, 4052,
4053, 3725, 3121, 2342, 1514, 774, 242, 7, 107, 525,
1192, 2001, 2816, 3506, 3956, 4094, 3895, 3393, 2671, 1846,
1054, 425, 63, 26, 321, 899, 1666, 2496, 3251, 3810,
4079, 4014, 3627, 2980, 2181, 1359, 651, 171, 0, 165,
639, 1344, 2165, 2967, 3617, 4010, 4081, 3817, 3263, 2510,
1680, 911, 328, 28, 60, 418, 1043, 1834, 2660, 3385,
3890, 4093, 3960, 3512, 2824, 2008, 1199, 529, 109, 7,
240, 771, 1511, 2340, 3120, 3724, 4053, 4052, 3722, 3116,
2335, 1506, 767, 238, 6, 110, 533, 1204, 2015, 2830,
3517, 3962, 4093, 3887, 3379, 2652, 1825, 1035, 412, 57,
30, 335, 921, 1693, 2523, 3275, 3825, 4082, 4005, 3606,
2951, 2147, 1326, 625, 157, 0, 180, 668, 1382, 2206,
3004, 3644, 4022, 4075, 3794, 3226, 2464, 1633, 871, 302,
20, 73, 450, 1090, 1888, 2712, 3427, 3914, 4095, 3938,
3470, 2768, 1947, 1143, 488, 89, 13, 272, 823, 1576,
2407, 3178, 3763, 4066, 4036, 3679, 3053, 2261, 1434, 708,
203, 2, 137, 587, 1278, 2096, 2905, 3573, 3990, 4087,
3848, 3312, 2568, 1738, 959, 359, 38, 48, 387, 1000,
1786, 2615, 3350, 3871, 4091, 3974, 3540, 2860, 2046, 1232,
552, 119, 4, 226, 748, 1484, 2314, 3099, 3711, 4048,
4056, 3733, 3131, 2351, 1521, 778, 244, 7, 107, 527,
1198, 2009, 2826, 3515, 3962, 4093, 3886, 3377, 2647, 1819,
1029, 407, 55, 32, 342, 933, 1708, 2539, 3289, 3834,
4085, 3999, 3591, 2928, 2120, 1300, 604, 145, 1, 194,
694, 1417, 2244, 3038, 3669, 4033, 4068, 3770, 3188, 2417,
1585, 830, 275, 14, 88, 485, 1141, 1946, 2768, 3471,
3939, 4095, 3912, 3421, 2704, 1878, 1080, 442, 69, 23,
311, 887, 1654, 2486, 3246, 3808, 4079, 4014, 3624, 2974,
2171, 1347, 639, 164, 0, 174, 658, 1372, 2197, 2998,
3641, 4021, 4075, 3794, 3224, 2459, 1627, 864, 297, 19,
76, 460, 1106, 1908, 2733, 3444, 3925, 4095, 3927, 3447,
2737, 1912, 1110, 463, 77, 18, 295, 861, 1624, 2456,
3221, 3792, 4075, 4022, 3642, 2998, 2198, 1372, 658, 174,
0, 165, 641, 1350, 2175, 2978, 3628, 4015, 4078, 3804,
3239, 2478, 1645, 878, 306, 21, 72, 450, 1092, 1893,
2719, 3434, 3920, 4095, 3931, 3456, 2747, 1923, 1119, 469,
80, 17, 291, 855, 1617, 2450, 3217, 3790, 4074, 4023,
3644, 3001, 2200, 1374, 659, 175, 0, 165, 641, 1351,
2176, 2980, 3629, 4016, 4077, 3802, 3236, 2473, 1639, 873,
302, 20, 74, 455, 1100, 1902, 2728, 3442, 3924, 4095,
3927, 3447, 2735, 1909, 1106, 459, 76, 19, 299, 868,
1634, 2467, 3231, 3799, 4077, 4017, 3632, 2983, 2179, 1354,
643, 165, 0, 174, 659, 1374, 2201, 3003, 3646, 4024,
4073, 3787, 3212, 2444, 1610, 849, 286, 16, 83, 476,
1129, 1935, 2760, 3467, 3937, 4095, 3912, 3420, 2700, 1872,
1073, 436, 66, 25, 320, 902, 1674, 2508, 3265, 3821,
4082, 4005, 3603, 2943, 2134, 1311, 610, 148, 1, 194,
695, 1421, 2250, 3047, 3677, 4036, 4065, 3759, 3169, 2392,
1558, 806, 259, 10, 99, 512, 1180, 1992, 2814, 3508,
3959, 4093, 3887, 3375, 2642, 1811, 1019, 398, 51, 36,
355, 956, 1738, 2571, 3318, 3853, 4088, 3984, 3558, 2881,
2065, 1246, 561, 122, 4, 226, 750, 1490, 2323, 3110,
3721, 4053, 4051, 3717, 3104, 2316, 1483, 744, 222, 4,
125, 566, 1254, 2073, 2889, 3564, 3987, 4088, 3848, 3310,
2561, 1727, 946, 348, 33, 54, 406, 1031, 1826, 2657,
3387, 3894, 4094, 3953, 3495, 2796, 1972, 1161, 498, 92,
12, 271, 826, 1584, 2419, 3193, 3775, 4070, 4029, 3657,
3017, 2216, 1387, 668, 178, 0, 163, 640, 1351, 2178,
2984, 3633, 4019, 4076, 3795, 3223, 2455, 1619, 855, 289,
16, 82, 475, 1130, 1938, 2764, 3471, 3941, 4095, 3907,
3410, 2686, 1855, 1057, 423, 60, 29, 334, 924, 1702,
2538, 3291, 3838, 4086, 3994, 3577, 2906, 2091, 1269, 577,
130, 3, 216, 735, 1473, 2307, 3097, 3712, 4050, 4054,
3723, 3112, 2324, 1490, 749, 224, 4, 124, 566, 1254,
2075, 2891, 3567, 3989, 4087, 3845, 3303, 2551, 1715, 935,
341, 31, 58, 416, 1048, 1846, 2677, 3404, 3904, 4094,
3943, 3475, 2769, 1943, 1133, 477, 83, 16, 289, 856,
1621, 2458, 3226, 3797, 4077, 4017, 3628, 2976, 2168, 1341,
631, 158, 0, 185, 680, 1404, 2236, 3036, 3671, 4034,
4066, 3761, 3169, 2390, 1554, 800, 255, 9, 103, 523,
1197, 2014, 2836, 3526, 3969, 4091, 3872, 3347, 2606, 1771,
982, 371, 41, 46, 385, 1003, 1795, 2629, 3366, 3883,
4093, 3961, 3508, 2812, 1988, 1174, 506, 95, 11, 268,
822, 1581, 2418, 3194, 3777, 4071, 4027, 3651, 3008, 2203,
1373, 655, 171, 0, 172, 657, 1376, 2206, 3010, 3653,
4028, 4071, 3775, 3191, 2415, 1577, 819, 266, 11, 97,
509, 1179, 1995, 2819, 3514, 3963, 4092, 3879, 3359, 2619,
1784, 993, 378, 43, 43, 379, 995, 1786, 2621, 3361,
3880, 4092, 3962, 3512, 2816, 1991, 1176, 507, 96, 11,
268, 823, 1583, 2421, 3196, 3779, 4072, 4025, 3648, 3002,
2196, 1366, 649, 167, 0, 176, 666, 1387, 2219, 3022,
3662, 4031, 4068, 3766, 3177, 2398, 1560, 804, 256, 9,
103, 524, 1200, 2018, 2841, 3531, 3972, 4091, 3867, 3338,
2593, 1756, 968, 361, 37, 50, 398, 1023, 1819, 2654,
3387, 3895, 4094, 3949, 3485, 2780, 1952, 1141, 481, 84,
16, 289, 858, 1626, 2464, 3233, 3803, 4078, 4013, 3618,
2959, 2147, 1319, 613, 147, 1, 198, 705, 1438, 2273,
3070, 3696, 4045, 4058, 3734, 3127, 2339, 1501, 756, 227,
4, 124, 567, 1259, 2083, 2901, 3576, 3994, 4085, 3835,
3284, 2525, 1686, 908, 321, 25, 68, 443, 1088, 1894,
2726, 3444, 3927, 4095, 3918, 3428, 2705, 1872, 1068, 429,
62, 28, 334, 928, 1710, 2548, 3303, 3846, 4088, 3986,
3558, 2877, 2056, 1234, 548, 115, 6, 241, 779, 1531,
2369, 3154, 3752, 4064, 4037, 3675, 3040, 2238, 1404, 678,
182, 0, 163, 642, 1358, 2190, 2998, 3646, 4025, 4072,
3778, 3193, 2415, 1576, 816, 263, 10, 100, 518, 1193,
2012, 2837, 3529, 3972, 4091, 3866, 3335, 2588, 1749, 961,
356, 35, 53, 407, 1036, 1837, 2672, 3403, 3905, 4095,
3940, 3466, 2754, 1923, 1112, 460, 74, 21, 309, 890,
1665, 2505, 3268, 3826, 4084, 3999, 3585, 2912, 2094, 1268,
573, 127, 4, 225, 753, 1499, 2338, 3128, 3735, 4059,
4043, 3692, 3063, 2263, 1427, 695, 191, 1, 154, 627,
1340, 2171, 2982, 3635, 4021, 4074, 3785, 3204, 2428, 1587,
824, 268, 11, 98, 513, 1187, 2006, 2832, 3526, 3971,
4091, 3867, 3336, 2587, 1748, 959, 354, 34, 54, 410,
1042, 1844, 2680, 3409, 3909, 4095, 3935, 3457, 2741, 1908,
1099, 450, 70, 24, 319, 906, 1685, 2526, 3286, 3837,
4086, 3991, 3568, 2889, 2067, 1242, 553, 117, 6, 239,
778, 1532, 2372, 3157, 3755, 4065, 4035, 3668, 3029, 2223,
1388, 664, 174, 0, 172, 660, 1383, 2218, 3024, 3666,
4034, 4066, 3758, 3161, 2375, 1535, 781, 241, 6, 116,
552, 1241, 2066, 2888, 3568, 3991, 4086, 3836, 3284, 2524,
1682, 903, 316, 23, 71, 454, 1105, 1916, 2750, 3464,
3939, 4095, 3904, 3400, 2667, 1829, 1028, 400, 50, 38,
365, 977, 1770, 2610, 3354, 3878, 4092, 3961, 3506, 2804,
1974, 1157, 490, 87, 15, 287, 857, 1628, 2470, 3240,
3809, 4080, 4007, 3603, 2935, 2118, 1288, 587, 133, 3,
219, 744, 1490, 2330, 3122, 3733, 4058, 4043, 3691, 3060,
2258, 1420, 689, 187, 0, 160, 639, 1357, 2191, 3001,
3650, 4028, 4070, 3770, 3178, 2395, 1553, 795, 249, 7,
111, 543, 1229, 2055, 2878, 3562, 3988, 4087, 3839, 3289,
2528, 1686, 905, 317, 23, 71, 455, 1108, 1920, 2754,
3468, 3942, 4094, 3900, 3392, 2656, 1817, 1017, 392, 47,
41, 375, 993, 1789, 2629, 3371, 3888, 4093, 3952, 3488,
2779, 1947, 1132, 471, 78, 19, 304, 884, 1662, 2505,
3270, 3828, 4084, 3995, 3576, 2897, 2075, 1247, 556, 117,
6, 241, 782, 1538, 2381, 3166, 3763, 4068, 4030, 3657,
3010, 2200, 1364, 644, 162, 0, 186, 687, 1419, 2258,
3061, 3692, 4044, 4058, 3730, 3117, 2322, 1481, 736, 213,
2, 138, 598, 1304, 2137, 2954, 3617, 4014, 4077, 3796,
3217, 2440, 1597, 830, 269, 11, 98, 517, 1195, 2018,
2846, 3538, 3978, 4089, 3854, 3312, 2555, 1712, 926, 330,
26, 66, 442, 1090, 1902, 2738, 3457, 3936, 4095, 3905,
3401, 2666, 1826, 1024, 396, 48, 40, 373, 991, 1789,
2630, 3372, 3889, 4094, 3950, 3483, 2772, 1938, 1122, 464,
75, 21, 312, 897, 1679, 2523, 3286, 3838, 4087, 3988,
3560, 2874, 2048, 1222, 536, 107, 8, 256, 809, 1572,
2417, 3198, 3784, 4074, 4020, 3630, 2971, 2155, 1321, 610,
144, 2, 207, 726, 1470, 2312, 3109, 3725, 4056, 4045,
3695, 3063, 2259, 1419, 686, 185, 0, 164, 649, 1371,
2209, 3019, 3664, 4034, 4065, 3753, 3151, 2361, 1517, 764,
229, 4, 127, 577, 1277, 2108, 2930, 3601, 4007, 4080,
3807, 3234, 2459, 1614, 843, 277, 12, 95, 510, 1187,
2010, 2840, 3535, 3977, 4089, 3854, 3312, 2553, 1709, 922,
327, 25, 68, 448, 1101, 1915, 2751, 3468, 3943, 4094,
3897, 3385, 2644, 1802, 1002, 380, 42, 46, 391, 1019,
1822, 2663, 3400, 3906, 4095, 3935, 3453, 2732, 1894, 1082,
435, 63, 29, 339, 941, 1732, 2576, 3330, 3866, 4091,
3968, 3517, 2815, 1983, 1161, 491, 86, 16, 292, 868,
1645, 2491, 3261, 3824, 4084, 3996, 3576, 2895, 2070, 1240,
548, 113, 7, 250, 799, 1562, 2407, 3191, 3780, 4073,
4021, 3631, 2971, 2154, 1318, 607, 142, 2, 211, 734,
1482, 2325, 3122, 3735, 4060, 4041, 3682, 3043, 2235, 1395,
666, 173, 0, 177, 673, 1405, 2246, 3053, 3688, 4043,
4058, 3728, 3112, 2314, 1470, 725, 206, 1, 147, 617,
1331, 2168, 2985, 3641, 4025, 4071, 3771, 3177, 2389, 1544,
784, 240, 5, 120, 564, 1261, 2093, 2917, 3593, 4004,
4081, 3810, 3238, 2462, 1615, 843, 276, 12, 96, 514,
1194, 2020, 2851, 3544, 3982, 4088, 3845, 3295, 2532, 1685,
901, 312, 21, 76, 468, 1131, 1950, 2786, 3496, 3958,
4093, 3878, 3349, 2598, 1753, 958, 350, 32, 59, 426,
1071, 1883, 2723, 3448, 3933, 4095, 3907, 3400, 2662, 1819,
1015, 387, 44, 44, 387, 1014, 1818, 2662, 3400, 3906,
4095, 3932, 3447, 2723, 1882, 1070, 425, 58, 32, 351,
961, 1756, 2602, 3353, 3880, 4093, 3956, 3492, 2780, 1943,
1124, 463, 74, 22, 318, 910, 1697, 2544, 3306, 3852,
4089, 3976, 3533, 2835, 2002, 1176, 501, 90, 15, 288,
863, 1641, 2489, 3261, 3825, 4084, 3995, 3571, 2886, 2058,
1227, 538, 107, 9, 260, 818, 1587, 2435, 3216, 3797,
4078, 4011, 3606, 2935, 2111, 1276, 574, 124, 5, 235,
777, 1537, 2384, 3173, 3770, 4071, 4025, 3639, 2981, 2162,
1324, 609, 142, 2, 213, 738, 1489, 2335, 3132, 3743,
4063, 4037, 3669, 3023, 2210, 1369, 644, 160, 0, 192,
702, 1443, 2288, 3092, 3716, 4054, 4047, 3697, 3064, 2256,
1412, 678, 178, 0, 173, 669, 1401, 2244, 3054, 3690,
4045, 4056, 3722, 3101, 2299, 1453, 710, 196, 1, 157,
638, 1361, 2202, 3017, 3665, 4035, 4064, 3746, 3136, 2339,
1492, 741, 214, 2, 142, 609, 1324, 2163, 2982, 3641,
4025, 4070, 3767, 3168, 2377, 1529, 770, 231, 4, 128,
583, 1290, 2126, 2950, 3618, 4016, 4075, 3786, 3198, 2412,
1563, 798, 247, 6, 117, 559, 1258, 2092, 2919, 3596,
4006, 4080, 3804, 3225, 2444, 1595, 824, 263, 9, 106,
537, 1228, 2060, 2890, 3575, 3997, 4083, 3819, 3250, 2474,
1625, 848, 278, 12, 97, 518, 1202, 2031, 2864, 3556,
3988, 4086, 3833, 3273, 2502, 1652, 871, 292, 15, 89,
500, 1177, 2005, 2839, 3538, 3979, 4088, 3846, 3293, 2526,
1677, 891, 305, 18, 82, 484, 1155, 1981, 2817, 3521,
3972, 4090, 3857, 3312, 2549, 1699, 910, 317, 22, 76,
470, 1136, 1959, 2797, 3507, 3964, 4091, 3866, 3328, 2568,
1719, 926, 327, 24, 71, 458, 1119, 1940, 2780, 3493,
3958, 4092, 3875, 3342, 2585, 1736, 941, 337, 27, 66,
447, 1104, 1924, 2765, 3482, 3952, 4093, 3882, 3353, 2600,
1751, 954, 345, 30, 63, 438, 1092, 1910, 2752, 3472,
3947, 4094, 3887, 3363, 2612, 1764, 964, 352, 32, 60,
431, 1081, 1899, 2741, 3464, 3943, 4094, 3892, 3371, 2622,
1774, 972, 357, 33, 58, 426, 1074, 1890, 2733, 3458,
3940, 4094, 3895, 3377, 2629, 1781, 979, 361, 35, 56,
422, 1068, 1884, 2728, 3454, 3938, 4094, 3898, 3381, 2634,
1786, 983, 364, 35, 55, 419, 1065, 1880, 2724, 3452,
3936, 4094, 3899, 3383, 2637, 1788, 984, 365, 36, 55,
418, 1063, 1879, 2723, 3451, 3936, 4094, 3899, 3383, 2636,
1788, 984, 364, 36, 55, 419, 1064, 1880, 2725, 3452,
3937, 4094, 3898, 3381, 2634, 1785, 982, 363, 35, 56,
421, 1068, 1884, 2729, 3455, 3939, 4094, 3896, 3378, 2629,
1780, 977, 359, 34, 57, 425, 1073, 1891, 2735, 3460,
3941, 4094, 3893, 3372, 2622, 1772, 970, 355, 32, 59,
430, 1081, 1900, 2744, 3467, 3945, 4094, 3888, 3364, 2612,
1762, 961, 349, 31, 62, 437, 1091, 1911, 2755, 3476,
3949, 4093, 3883, 3354, 2600, 1749, 950, 341, 28, 65,
446, 1104, 1925, 2768, 3486, 3955, 4093, 3876, 3343, 2585,
1734, 937, 333, 26, 69, 456, 1118, 1942, 2784, 3498,
3961, 4092, 3868, 3329, 2567, 1716, 922, 323, 23, 74,
468, 1135, 1961, 2802, 3512, 3968, 4091, 3859, 3313, 2548,
1695, 904, 311, 20, 80, 482, 1155, 1983, 2822, 3527,
3975, 4089, 3848, 3295, 2525, 1673, 885, 299, 17, 87,
497, 1177, 2007, 2845, 3544, 3984, 4087, 3836, 3275, 2501,
1647, 864, 286, 13, 94, 515, 1201, 2034, 2870, 3563,
3992, 4084, 3823, 3253, 2473, 1620, 841, 271, 10, 103,
534, 1228, 2064, 2897, 3583, 4002, 4081, 3807, 3228, 2443,
1590, 816, 256, 7, 113, 555, 1257, 2096, 2926, 3604,
4011, 4077, 3790, 3201, 2411, 1557, 789, 240, 5, 125,
579, 1289, 2130, 2957, 3626, 4021, 4072, 3771, 3171, 2375,
1523, 761, 223, 3, 138, 605, 1323, 2167, 2990, 3650,
4030, 4066, 3751, 3139, 2338, 1486, 731, 206, 1, 152,
633, 1360, 2207, 3026, 3674, 4040, 4059, 3728, 3104, 2297,
1446, 700, 188, 0, 168, 664, 1400, 2249, 3062, 3700,
4049, 4051, 3703, 3067, 2254, 1405, 667, 170, 0, 186,
697, 1442, 2293, 3101, 3726, 4058, 4041, 3676, 3027, 2208,
1361, 634, 152, 1, 206, 732, 1487, 2340, 3142, 3753,
4067, 4029, 3646, 2985, 2160, 1316, 599, 134, 3, 228,
770, 1535, 2389, 3184, 3780, 4075, 4016, 3614, 2939, 2109,
1268, 563, 117, 7, 253, 812, 1586, 2441, 3227, 3807,
4081, 4001, 3579, 2891, 2055, 1219, 526, 99, 12, 280,
855, 1639, 2494, 3271, 3835, 4087, 3983, 3542, 2840, 1999,
1168, 489, 83, 19, 309, 902, 1696, 2550, 3317, 3863,
4091, 3963, 3501, 2785, 1941, 1115, 452, 67, 28, 341,
952, 1755, 2608, 3364, 3890, 4094, 3941, 3458, 2728, 1880,
1061, 414, 52, 39, 376, 1005, 1817, 2668, 3411, 3916,
4095, 3916, 3411, 2668, 1816, 1005, 376, 39, 52, 414,
1062, 1881, 2730, 3459, 3942, 4094, 3888, 3361, 2605, 1751,
948, 338, 27, 68, 456, 1121, 1948, 2793, 3507, 3967,
4091, 3857, 3308, 2538, 1683, 891, 301, 17, 87, 500,
1184, 2018, 2858, 3556, 3990, 4085, 3823, 3251, 2469, 1613,
833, 265, 9, 109, 549, 1250, 2091, 2924, 3604, 4012,
4076, 3786, 3191, 2396, 1541, 774, 230, 3, 135, 601,
1320, 2166, 2992, 3652, 4032, 4065, 3744, 3127, 2321, 1467,
715, 195, 0, 163, 656, 1393, 2243, 3060, 3699, 4050,
4050, 3699, 3059, 2243, 1392, 656, 163, 0, 196, 716,
1469, 2323, 3129, 3746, 4065, 4031, 3650, 2988, 2162, 1315,
597, 133, 4, 233, 780, 1549, 2405, 3199, 3791, 4078,
4009, 3597, 2913, 2078, 1237, 539, 104, 10, 274, 847,
1631, 2489, 3268, 3834, 4087, 3982, 3539, 2834, 1991, 1158,
481, 79, 21, 319, 919, 1718, 2574, 3338, 3876, 4093,
3952, 3477, 2751, 1902, 1079, 425, 56, 36, 369, 996,
1807, 2661, 3407, 3915, 4095, 3916, 3410, 2665, 1811, 999,
371, 37, 55, 423, 1076, 1899, 2749, 3475, 3951, 4093,
3876, 3339, 2574, 1718, 919, 318, 21, 79, 483, 1161,
1995, 2838, 3542, 3984, 4086, 3831, 3262, 2481, 1623, 840,
268, 9, 108, 547, 1250, 2092, 2927, 3607, 4014, 4075,
3780, 3181, 2383, 1526, 761, 221, 2, 142, 617, 1343,
2193, 3017, 3671, 4040, 4059, 3724, 3096, 2283, 1429, 683,
177, 0, 182, 692, 1440, 2295, 3106, 3732, 4061, 4037,
3663, 3005, 2179, 1330, 607, 137, 3, 228, 773, 1542,
2400, 3195, 3790, 4077, 4009, 3595, 2910, 2072, 1231, 533,
101, 12, 280, 859, 1647, 2505, 3283, 3844, 4089, 3975,
3522, 2809, 1963, 1132, 461, 70, 26, 338, 950, 1756,
2613, 3370, 3895, 4094, 3934, 3442, 2705, 1852, 1033, 393,
44, 47, 403, 1047, 1868, 2720, 3454, 3941, 4094, 3887,
3357, 2596, 1738, 935, 328, 23, 75, 474, 1150, 1983,
2828, 3536, 3982, 4087, 3833, 3265, 2482, 1623, 839, 267,
9, 110, 552, 1257, 2101, 2936, 3615, 4017, 4073, 3772,
3167, 2365, 1507, 744, 211, 1, 152, 636, 1369, 2222,
3044, 3690, 4047, 4052, 3703, 3063, 2244, 1391, 653, 160,
1, 202, 728, 1487, 2344, 3149, 3761, 4070, 4023, 3628,
2954, 2120, 1274, 564, 115, 7, 259, 826, 1608, 2468,
3253, 3826, 4086, 3986, 3544, 2838, 1993, 1158, 479, 77,
22, 325, 931, 1734, 2593, 3355, 3887, 4094, 3940, 3453,
2718, 1864, 1043, 399, 46, 46, 399, 1043, 1864, 2717,
3453, 3940, 4094, 3886, 3354, 2592, 1733, 930, 324, 22,
78, 481, 1160, 1997, 2842, 3547, 3987, 4085, 3824, 3248,
2461, 1601, 820, 255, 7, 119, 571, 1285, 2132, 2965,
3636, 4027, 4067, 3752, 3135, 2326, 1468, 713, 193, 0,
169, 670, 1414, 2270, 3087, 3720, 4058, 4040, 3671, 3015,
2188, 1336, 610, 138, 3, 230, 777, 1549, 2410, 3206,
3797, 4080, 4003, 3581, 2887, 2046, 1204, 512, 91, 16,
300, 892, 1689, 2550, 3321, 3868, 4092, 3955, 3481, 2754,
1901, 1075, 420, 53, 39, 380, 1016, 1834, 2690, 3432,
3930, 4095, 3897, 3373, 2614, 1755, 948, 335, 25, 73,
470, 1146, 1982, 2829, 3538, 3983, 4086, 3829, 3256, 2469,
1608, 824, 257, 7, 118, 570, 1284, 2132, 2966, 3638,
4027, 4067, 3749, 3130, 2319, 1461, 706, 188, 0, 174,
680, 1428, 2285, 3101, 3730, 4061, 4036, 3658, 2996, 2165,
1314, 593, 129, 5, 242, 800, 1578, 2439, 3231, 3814,
4083, 3992, 3557, 2854, 2008, 1170, 486, 79, 21, 322,
929, 1733, 2594, 3357, 3889, 4094, 3937, 3445, 2705, 1849,
1028, 388, 41, 51, 414, 1066, 1893, 2747, 3477, 3954,
4092, 3869, 3322, 2550, 1688, 890, 298, 15, 93, 517,
1213, 2056, 2898, 3590, 4007, 4078, 3788, 3190, 2389, 1527,
758, 218, 2, 148, 632, 1367, 2222, 3046, 3694, 4049,
4049, 3694, 3047, 2223, 1368, 633, 149, 2, 218, 758,
1528, 2389, 3190, 3788, 4078, 4007, 3588, 2896, 2054, 1210,
515, 92, 16, 300, 895, 1694, 2556, 3328, 3872, 4093,
3950, 3470, 2737, 1882, 1056, 406, 48, 44, 397, 1042,
1866, 2723, 3459, 3945, 4093, 3879, 3339, 2570, 1708, 906,
307, 17, 88, 507, 1199, 2042, 2886, 3581, 4004, 4079,
3793, 3197, 2397, 1535, 763, 220, 2, 147, 630, 1364,
2220, 3046, 3694, 4049, 4049, 3693, 3044, 2219, 1363, 628,
146, 2, 221, 765, 1537, 2400, 3200, 3795, 4079, 4003,
3578, 2882, 2037, 1194, 503, 86, 18, 311, 913, 1717,
2579, 3347, 3884, 4094, 3940, 3450, 2710, 1852, 1029, 388,
41, 51, 417, 1072, 1901, 2756, 3485, 3958, 4092, 3861,
3308, 2530, 1667, 871, 285, 12, 102, 537, 1242, 2090,
2930, 3614, 4018, 4072, 3765, 3153, 2344, 1482, 721, 196,
0, 169, 673, 1421, 2280, 3099, 3730, 4061, 4034, 3654,
2987, 2153, 1300, 580, 122, 6, 254, 822, 1607, 2472,
3260, 3833, 4087, 3979, 3526, 2810, 1958, 1122, 451, 64,
31, 357, 984, 1801, 2661, 3412, 3921, 4095, 3904, 3383,
2624, 1762, 950, 335, 24, 75, 476, 1158, 1999, 2848,
3554, 3992, 4083, 3812, 3226, 2430, 1565, 787, 233, 3,
138, 612, 1343, 2200, 3029, 3683, 4046, 4052, 3701, 3055,
2229, 1371, 634, 148, 2, 220, 764, 1537, 2402, 3202,
3797, 4080, 4000, 3572, 2872, 2025, 1181, 493, 81, 21,
322, 931, 1739, 2602, 3367, 3896, 4095, 3928, 3426, 2678,
1818, 998, 366, 34, 61, 443, 1111, 1947, 2800, 3519,
3976, 4088, 3836, 3264, 2476, 1611, 823, 255, 6, 122,
582, 1303, 2158, 2992, 3658, 4037, 4060, 3723, 3088, 2266,
1406, 660, 162, 1, 205, 739, 1506, 2370, 3177, 3781,
4076, 4009, 3591, 2897, 2052, 1205, 510, 89, 17, 309,
912, 1717, 2581, 3350, 3887, 4094, 3936, 3440, 2695, 1835,
1012, 375, 36, 57, 434, 1099, 1934, 2789, 3512, 3972,
4089, 3840, 3271, 2483, 1618, 829, 258, 7, 121, 579,
1300, 2155, 2991, 3658, 4036, 4060, 3723, 3086, 2264, 1403,
657, 160, 1, 207, 743, 1513, 2377, 3183, 3786, 4078,
4006, 3584, 2887, 2040, 1194, 501, 84, 19, 317, 925,
1734, 2598, 3364, 3895, 4095, 3928, 3425, 2675, 1813, 993,
361, 32, 63, 450, 1123, 1961, 2815, 3531, 3982, 4086,
3826, 3246, 2453, 1586, 802, 242, 4, 133, 604, 1334,
2192, 3024, 3681, 4045, 4052, 3699, 3051, 2223, 1363, 626,
144, 3, 228, 779, 1557, 2424, 3223, 3811, 4083, 3991,
3550, 2840, 1988, 1147, 467, 70, 28, 347, 972, 1789,
2653, 3408, 3919, 4095, 3904, 3379, 2617, 1752, 940, 326,
22, 80, 491, 1182, 2027, 2876, 3577, 4003, 4079, 3790,
3189, 2383, 1517, 746, 208, 1, 160, 658, 1406, 2268,
3091, 3727, 4061, 4034, 3651, 2980, 2142, 1287, 568, 115,
8, 268, 847, 1641, 2508, 3293, 3854, 4091, 3961, 3488,
2756, 1897, 1065, 409, 48, 45, 402, 1054, 1885, 2744,
3479, 3957, 4092, 3860, 3302, 2519, 1652, 856, 273, 9,
111, 561, 1278, 2133, 2973, 3646, 4032, 4062, 3730, 3096,
2273, 1410, 662, 162, 1, 207, 745, 1516, 2383, 3189,
3791, 4079, 4002, 3574, 2872, 2022, 1176, 487, 78, 23,
332, 950, 1764, 2630, 3391, 3910, 4095, 3912, 3393, 2633,
1767, 952, 334, 24, 77, 485, 1174, 2019, 2870, 3573,
4002, 4079, 3791, 3189, 2382, 1515, 744, 207, 1, 163,
664, 1414, 2278, 3100, 3733, 4063, 4031, 3641, 2965, 2124,
1269, 554, 108, 11, 280, 867, 1666, 2535, 3315, 3868,
4093, 3950, 3464, 2724, 1862, 1033, 387, 40, 54, 427,
1091, 1928, 2786, 3511, 3973, 4088, 3836, 3262, 2469, 1600,
812, 246, 5, 131, 602, 1334, 2194, 3028, 3685, 4047,
4050, 3691, 3037, 2205, 1344, 610, 135, 4, 241, 804,
1591, 2460, 3254, 3832, 4088, 3976, 3517, 2793, 1935, 1097,
430, 55, 39, 384, 1030, 1858, 2721, 3462, 3949, 4093,
3868, 3315, 2534, 1665, 865, 278, 10, 109, 558, 1275,
2132, 2973, 3647, 4033, 4061, 3726, 3089, 2263, 1399, 652,
156, 1, 216, 760, 1537, 2406, 3210, 3805, 4082, 3993,
3553, 2841, 1986, 1142, 462, 67, 30, 356, 988, 1811,
2676, 3428, 3931, 4094, 3888, 3350, 2577, 1708, 900, 300,
15, 96, 530, 1238, 2091, 2937, 3622, 4023, 4068, 3748,
3121, 2300, 1433, 678, 170, 0, 201, 734, 1505, 2374,
3183, 3788, 4079, 4002, 3573, 2869, 2016, 1168, 480, 75,
25, 341, 966, 1785, 2652, 3410, 3922, 4095, 3898, 3367,
2598, 1730, 918, 311, 17, 90, 517, 1220, 2073, 2921,
3611, 4019, 4070, 3756, 3134, 2315, 1447, 688, 175, 0,
195, 725, 1494, 2363, 3175, 3783, 4077, 4005, 3579, 2876,
2023, 1175, 484, 76, 25, 339, 962, 1781, 2649, 3408,
3921, 4095, 3899, 3368, 2599, 1730, 918, 310, 17, 91,
519, 1223, 2076, 2925, 3614, 4020, 4070, 3753, 3128, 2308,
1440, 682, 172, 0, 199, 733, 1504, 2374, 3184, 3789,
4079, 4001, 3570, 2863, 2009, 1161, 474, 72, 27, 348,
977, 1799, 2666, 3422, 3928, 4094, 3890, 3352, 2578, 1708,
899, 298, 14, 98, 535, 1246, 2102, 2948, 3631, 4027,
4065, 3738, 3104, 2279, 1412, 660, 160, 1, 213, 757,
1535, 2406, 3212, 3807, 4083, 3991, 3546, 2830, 1972, 1128,
451, 62, 34, 370, 1010, 1839, 2705, 3452, 3944, 4093,
3871, 3319, 2536, 1665, 863, 275, 9, 113, 567, 1289,
2149, 2991, 3661, 4039, 4056, 3709, 3061, 2228, 1363, 623,
140, 3, 237, 800, 1588, 2460, 3257, 3835, 4088, 3972,
3506, 2776, 1914, 1076, 414, 48, 45, 406, 1064, 1900,
2763, 3497, 3967, 4089, 3841, 3267, 2472, 1600, 809, 243,
4, 136, 615, 1353, 2218, 3052, 3703, 4054, 4041, 3666,
2997, 2156, 1295, 571, 114, 9, 274, 860, 1663, 2535,
3318, 3871, 4093, 3944, 3450, 2701, 1834, 1006, 366, 32,
64, 456, 1137, 1984, 2842, 3555, 3995, 4081, 3798, 3197,
2387, 1515, 740, 203, 0, 170, 680, 1439, 2309, 3131,
3756, 4071, 4018, 3607, 2913, 2061, 1207, 506, 85, 20,
324, 941, 1759, 2630, 3395, 3914, 4095, 3903, 3374, 2604,
1733, 919, 310, 17, 93, 524, 1233, 2089, 2938, 3625,
4026, 4066, 3740, 3105, 2279, 1410, 657, 157, 1, 217,
766, 1548, 2421, 3226, 3816, 4085, 3983, 3530, 2806, 1945,
1102, 431, 54, 40, 391, 1044, 1879, 2744, 3483, 3961,
4091, 3848, 3278, 2484, 1611, 817, 247, 4, 134, 612,
1351, 2217, 3052, 3704, 4055, 4040, 3663, 2991, 2148, 1287,
563, 111, 10, 281, 873, 1679, 2552, 3334, 3881, 4094,
3935, 3431, 2676, 1807, 981, 349, 27, 73, 478, 1169,
2020, 2877, 3582, 4007, 4076, 3775, 3159, 2341, 1470, 703,
182, 0, 192, 721, 1493, 2365, 3180, 3788, 4079, 4000,
3565, 2854, 1995, 1146, 462, 66, 31, 364, 1004, 1834,
2703, 3452, 3946, 4093, 3867, 3310, 2522, 1648, 847, 265,
7, 122, 588, 1320, 2184, 3024, 3686, 4049, 4047, 3680,
3016, 2175, 1311, 581, 118, 8, 270, 855, 1659, 2533,
3319, 3872, 4093, 3941, 3443, 2691, 1821, 992, 356, 29,
70, 472, 1161, 2012, 2870, 3577, 4006, 4077, 3777, 3162,
2344, 1471, 704, 182, 0, 192, 723, 1495, 2369, 3184,
3791, 4080, 3998, 3560, 2846, 1986, 1137, 455, 63, 34,
372, 1017, 1849, 2718, 3465, 3952, 4092, 3858, 3294, 2502,
1627, 829, 253, 5, 131, 606, 1345, 2212, 3049, 3703,
4055, 4040, 3661, 2987, 2141, 1279, 556, 107, 12, 289,
887, 1698, 2572, 3351, 3891, 4095, 3924, 3410, 2648, 1775,
953, 330, 21, 83, 504, 1207, 2064, 2918, 3612, 4021,
4069, 3747, 3114, 2287, 1415, 660, 158, 1, 219, 771,
1557, 2432, 3237, 3825, 4087, 3976, 3513, 2781, 1916, 1074,
410, 46, 48, 416, 1082, 1925, 2790, 3520, 3980, 4086,
3820, 3229, 2422, 1546, 763, 214, 1, 162, 669, 1428,
2300, 3126, 3755, 4071, 4017, 3602, 2903, 2047, 1192, 492,
78, 24, 341, 970, 1796, 2669, 3427, 3933, 4094, 3880,
3330, 2546, 1670, 863, 274, 9, 117, 579, 1310, 2176,
3018, 3683, 4048, 4047, 3679, 3013, 2169, 1304, 574, 115,
9, 277, 870, 1678, 2554, 3337, 3884, 4094, 3930, 3420,
2659, 1786, 961, 335, 22, 81, 501, 1204, 2061, 2916,
3612, 4021, 4068, 3745, 3111, 2282, 1409, 654, 154, 2,
224, 781, 1570, 2446, 3250, 3833, 4088, 3970, 3499, 2761,
1893, 1053, 396, 41, 54, 433, 1108, 1956, 2820, 3542,
3991, 4082, 3801, 3198, 2384, 1508, 731, 196, 0, 180,
703, 1472, 2347, 3167, 3782, 4078, 4002, 3567, 2853, 1991,
1140, 455, 63, 34, 376, 1024, 1860, 2731, 3476, 3959,
4091, 3848, 3274, 2476, 1598, 803, 237, 3, 144, 635,
1385, 2257, 3090, 3732, 4065, 4027, 3625, 2934, 2080, 1220,
512, 86, 20, 327, 950, 1774, 2649, 3413, 3926, 4094,
3887, 3341, 2557, 1680, 871, 277, 9, 116, 577, 1309,
2176, 3020, 3685, 4049, 4046, 3675, 3005, 2159, 1292, 565,
110, 11, 286, 886, 1698, 2575, 3355, 3895, 4095, 3918,
3398, 2629, 1753, 932, 315, 17, 93, 527, 1242, 2104,
2956, 3641, 4033, 4060, 3716, 3066, 2228, 1357, 613, 133,
5, 253, 830, 1632, 2510, 3303, 3865, 4093, 3944, 3446,
2691, 1818, 986, 350, 27, 75, 486, 1184, 2042, 2900,
3602, 4017, 4070, 3751, 3118, 2288, 1414, 656, 155, 2,
225, 784, 1576, 2454, 3258, 3838, 4089, 3965, 3487, 2744,
1873, 1034, 381, 36, 61, 452, 1137, 1989, 2852, 3567,
4002, 4078, 3779, 3161, 2338, 1462, 693, 174, 0, 203,
746, 1529, 2407, 3219, 3815, 4085, 3980, 3519, 2787, 1918,
1073, 408, 45, 51, 425, 1098, 1946, 2813, 3538, 3989,
4083, 3801, 3196, 2379, 1501, 724, 191, 0, 187, 716,
1492, 2369, 3188, 3796, 4082, 3992, 3544, 2821, 1954, 1105,
429, 52, 43, 404, 1067, 1912, 2781, 3515, 3979, 4086,
3817, 3222, 2410, 1531, 748, 204, 0, 174, 694, 1463,
2341, 3164, 3781, 4078, 4001, 3563, 2845, 1981, 1128, 445,
58, 38, 389, 1046, 1888, 2759, 3499, 3971, 4088, 3828,
3240, 2431, 1552, 764, 213, 1, 166, 679, 1445, 2321,
3148, 3771, 4076, 4006, 3575, 2861, 1998, 1143, 456, 62,
35, 380, 1033, 1873, 2745, 3489, 3966, 4089, 3835, 3250,
2444, 1564, 773, 218, 1, 162, 671, 1435, 2312, 3140,
3766, 4074, 4009, 3580, 2869, 2005, 1150, 460, 64, 34,
377, 1028, 1868, 2741, 3486, 3965, 4089, 3837, 3253, 2447,
1566, 775, 219, 1, 161, 671, 1434, 2311, 3140, 3766,
4075, 4008, 3579, 2867, 2003, 1148, 458, 63, 35, 379,
1031, 1872, 2745, 3489, 3966, 4089, 3834, 3248, 2440, 1560,
770, 216, 1, 165, 677, 1443, 2320, 3148, 3771, 4076,
4005, 3572, 2857, 1992, 1137, 451, 60, 37, 386, 1043,
1886, 2758, 3499, 3972, 4088, 3826, 3235, 2424, 1544, 757,
208, 0, 172, 690, 1460, 2339, 3164, 3782, 4079, 3999,
3559, 2838, 1971, 1118, 437, 55, 41, 400, 1063, 1909,
2780, 3516, 3980, 4085, 3814, 3215, 2399, 1519, 736, 197,
0, 183, 711, 1487, 2367, 3187, 3797, 4082, 3990, 3538,
2810, 1940, 1091, 418, 48, 48, 419, 1092, 1942, 2811,
3539, 3991, 4082, 3796, 3186, 2365, 1485, 709, 182, 0,
198, 739, 1523, 2404, 3219, 3817, 4086, 3977, 3511, 2773,
1901, 1055, 394, 39, 57, 445, 1129, 1984, 2851, 3568,
4004, 4076, 3773, 3149, 2320, 1442, 675, 163, 1, 219,
776, 1569, 2451, 3258, 3840, 4090, 3961, 3476, 2727, 1851,
1012, 365, 30, 70, 477, 1175, 2036, 2898, 3603, 4019,
4069, 3743, 3103, 2267, 1390, 635, 142, 4, 244, 820,
1624, 2506, 3303, 3867, 4093, 3939, 3434, 2671, 1792, 961,
332, 21, 87, 517, 1231, 2097, 2954, 3643, 4035, 4058,
3707, 3048, 2203, 1329, 589, 120, 8, 276, 873, 1688,
2570, 3355, 3897, 4095, 3912, 3383, 2606, 1724, 903, 295,
12, 108, 564, 1296, 2168, 3017, 3686, 4051, 4043, 3664,
2984, 2130, 1261, 538, 96, 17, 315, 936, 1763, 2643,
3413, 3928, 4094, 3879, 3324, 2530, 1648, 839, 255, 5,
135, 620, 1371, 2248, 3088, 3734, 4066, 4023, 3612, 2910,
2047, 1185, 483, 72, 29, 361, 1008, 1847, 2724, 3475,
3961, 4090, 3839, 3254, 2445, 1562, 769, 214, 1, 168,
686, 1456, 2337, 3164, 3783, 4079, 3997, 3551, 2826, 1955,
1102, 425, 50, 47, 416, 1090, 1942, 2813, 3542, 3993,
4081, 3790, 3175, 2350, 1468, 695, 173, 0, 209, 761,
1552, 2436, 3247, 3834, 4089, 3964, 3481, 2731, 1854, 1013,
364, 30, 71, 481, 1183, 2046, 2909, 3612, 4023, 4066,
3733, 3085, 2244, 1367, 616, 132, 6, 260, 847, 1658,
2542, 3334, 3885, 4095, 3922, 3400, 2625, 1743, 918, 303,
14, 104, 556, 1287, 2159, 3011, 3683, 4050, 4043, 3664,
2984, 2129, 1258, 535, 94, 18, 320, 944, 1775, 2656,
3424, 3935, 4094, 3871, 3307, 2509, 1624, 819, 243, 3,
145, 643, 1402, 2282, 3118, 3754, 4072, 4012, 3585, 2871,
2003, 1144, 453, 60, 38, 391, 1054, 1902, 2777, 3516,
3981, 4085, 3808, 3203, 2381, 1498, 717, 185, 0, 198,
741, 1529, 2413, 3229, 3824, 4088, 3970, 3493, 2746, 1869,
1025, 372, 32, 69, 475, 1175, 2039, 2904, 3609, 4022,
4066, 3733, 3085, 2243, 1365, 614, 131, 6, 263, 853,
1667, 2552, 3342, 3891, 4095, 3916, 3388, 2609, 1725, 902,
292, 11, 111, 573, 1310, 2185, 3035, 3700, 4056, 4036,
3645, 2954, 2094, 1226, 511, 83, 23, 342, 979, 1817,
2697, 3456, 3952, 4091, 3848, 3268, 2460, 1574, 777, 218,
1, 167, 685, 1458, 2341, 3169, 3788, 4081, 3993, 3541,
2810, 1936, 1083, 410, 44, 53, 435, 1119, 1977, 2848,
3569, 4005, 4075, 3765, 3134, 2299, 1417, 653, 150, 3,
238, 812, 1618, 2504, 3304, 3870, 4094, 3934, 3422, 2652,
1769, 938, 315, 16, 98, 545, 1274, 2147, 3002, 3678,
4049, 4044, 3666, 2984, 2127, 1255, 531, 92, 19, 326,
956, 1790, 2673, 3438, 3943, 4093, 3859, 3286, 2480, 1594,
793, 226, 1, 160, 673, 1443, 2326, 3158, 3781, 4079,
3996, 3548, 2819, 1945, 1090, 415, 45, 52, 432, 1116,
1974, 2846, 3568, 4005, 4075, 3765, 3132, 2296, 1414, 650,
148, 3, 241, 818, 1626, 2513, 3312, 3874, 4094, 3930,
3412, 2638, 1754, 925, 306, 14, 104, 558, 1292, 2168,
3021, 3692, 4053, 4039, 3651, 2961, 2101, 1230, 513, 83,
23, 343, 982, 1822, 2704, 3463, 3956, 4091, 3842, 3256,
2443, 1557, 762, 208, 0, 177, 705, 1484, 2370, 3195,
3805, 4084, 3981, 3515, 2773, 1895, 1045, 384, 35, 64,
466, 1165, 2030, 2898, 3606, 4021, 4066, 3732, 3080, 2235,
1355, 605, 125, 7, 273, 872, 1692, 2578, 3365, 3905,
4095, 3900, 3358, 2568, 1681, 863, 268, 7, 129, 613,
1366, 2247, 3091, 3738, 4068, 4018, 3597, 2885, 2016, 1152,
457, 61, 38, 394, 1060, 1912, 2790, 3528, 3988, 4082,
3794, 3178, 2349, 1463, 687, 167, 1, 220, 783, 1583,
2471, 3280, 3856, 4092, 3944, 3438, 2671, 1787, 951, 322,
18, 95, 540, 1269, 2144, 3001, 3679, 4049, 4043, 3661,
2976, 2116, 1242, 521, 87, 22, 338, 976, 1816, 2700,
3460, 3955, 4091, 3841, 3255, 2440, 1552, 757, 205, 0,
181, 713, 1496, 2384, 3208, 3813, 4086, 3975, 3501, 2753,
1872, 1024, 369, 30, 71, 485, 1193, 2061, 2928, 3628,
4031, 4060, 3709, 3046, 2194, 1315, 574, 110, 12, 297,
912, 1741, 2628, 3405, 3927, 4094, 3876, 3312, 2511, 1622,
813, 237, 2, 153, 661, 1430, 2316, 3151, 3778, 4079,
3996, 3547, 2814, 1937, 1081, 407, 42, 56, 445, 1137,
2000, 2872, 3589, 4015, 4070, 3743, 3097, 2252, 1369, 614,
129, 7, 269, 867, 1687, 2576, 3365, 3905, 4095, 3899,
3353, 2561, 1672, 854, 261, 5, 135, 626, 1385, 2269,
3111, 3753, 4072, 4010, 3577, 2855, 1981, 1119, 433, 51,
47, 420, 1100, 1959, 2835, 3563, 4004, 4075, 3764, 3129,
2289, 1404, 640, 142, 4, 252, 839, 1654, 2544, 3339,
3891, 4095, 3912, 3376, 2590, 1701, 878, 275, 8, 125,
606, 1360, 2243, 3089, 3739, 4069, 4017, 3593, 2877, 2004,
1139, 447, 56, 42, 407, 1082, 1940, 2818, 3550, 3998,
4078, 3774, 3143, 2305, 1419, 651, 148, 3, 245, 828,
1641, 2532, 3330, 3886, 4095, 3916, 3384, 2599, 1710, 885,
279, 8, 123, 602, 1354, 2237, 3085, 3736, 4068, 4018,
3595, 2879, 2006, 1141, 447, 56, 42, 407, 1083, 1941,
2819, 3552, 3999, 4077, 3772, 3139, 2301, 1414, 647, 145,
4, 249, 834, 1649, 2540, 3337, 3891, 4095, 3912, 3376,
2588, 1698, 874, 273, 7, 128, 612, 1368, 2253, 3098,
3745, 4071, 4013, 3583, 2862, 1987, 1124, 435, 52, 46,
420, 1102, 1963, 2840, 3567, 4006, 4074, 3758, 3118, 2275,
1389, 628, 136, 5, 262, 857, 1678, 2569, 3360, 3904,
4095, 3898, 3351, 2557, 1666, 847, 256, 5, 140, 637,
1402, 2289, 3130, 3766, 4076, 4002, 3557, 2826, 1947, 1088,
410, 43, 56, 446, 1140, 2006, 2880, 3596, 4019, 4067,
3733, 3079, 2229, 1345, 594, 119, 10, 287, 898, 1727,
2617, 3399, 3925, 4094, 3875, 3310, 2505, 1613, 804, 230,
2, 161, 679, 1456, 2346, 3178, 3797, 4083, 3983, 3516,
2770, 1887, 1034, 374, 31, 71, 486, 1198, 2071, 2939,
3638, 4035, 4055, 3694, 3020, 2162, 1281, 547, 97, 17,
323, 957, 1797, 2685, 3452, 3952, 4091, 3841, 3251, 2432,
1540, 745, 197, 0, 192, 737, 1531, 2423, 3243, 3837,
4090, 3956, 3459, 2694, 1806, 964, 328, 18, 95, 542,
1275, 2156, 3015, 3691, 4054, 4036, 3640, 2942, 2073, 1200,
487, 71, 31, 374, 1035, 1889, 2772, 3518, 3985, 4083,
3794, 3173, 2338, 1448, 672, 157, 2, 236, 814, 1627,
2520, 3323, 3883, 4095, 3917, 3383, 2596, 1704, 878, 274,
7, 129, 615, 1374, 2261, 3108, 3752, 4073, 4008, 3570,
2843, 1964, 1101, 418, 45, 53, 441, 1134, 2001, 2877,
3595, 4019, 4067, 3731, 3074, 2223, 1337, 587, 115, 11,
294, 911, 1745, 2636, 3415, 3934, 4093, 3864, 3288, 2476,
1583, 778, 215, 1, 176, 708, 1495, 2387, 3214, 3820,
4088, 3967, 3481, 2721, 1834, 987, 342, 22, 88, 527,
1255, 2135, 2998, 3680, 4051, 4040, 3650, 2954, 2086, 1210,
494, 74, 30, 370, 1030, 1884, 2769, 3517, 3984, 4083,
3793, 3171, 2335, 1444, 668, 155, 2, 240, 822, 1638,
2532, 3333, 3890, 4095, 3910, 3370, 2577, 1684, 860, 263,
5, 137, 634, 1400, 2289, 3133, 3769, 4077, 3998, 3547,
2810, 1928, 1068, 395, 37, 63, 467, 1173, 2045, 2918,
3625, 4031, 4058, 3702, 3030, 2171, 1288, 550, 98, 17,
325, 961, 1804, 2694, 3460, 3957, 4090, 3832, 3234, 2410,
1516, 724, 184, 0, 207, 765, 1568, 2462, 3278, 3858,
4093, 3937, 3421, 2642, 1750, 914, 295, 11, 115, 589,
1341, 2228, 3080, 3736, 4069, 4016, 3587, 2864, 1985, 1118,
429, 49, 50, 433, 1125, 1993, 2871, 3592, 4018, 4067,
3731, 3073, 2219, 1332, 582, 112, 12, 301, 923, 1760,
2653, 3429, 3942, 4092, 3852, 3267, 2449, 1554, 753, 200,
0, 191, 738, 1534, 2429, 3251, 3843, 4091, 3949, 3443,
2671, 1779, 939, 310, 14, 107, 570, 1317, 2203, 3059,
3722, 4065, 4022, 3601, 2883, 2006, 1136, 441, 53, 46,
423, 1110, 1976, 2857, 3582, 4014, 4069, 3738, 3083, 2231,
1343, 590, 115, 11, 296, 917, 1753, 2647, 3425, 3940,
4093, 3854, 3269, 2451, 1556, 754, 200, 0, 192, 739,
1536, 2432, 3253, 3844, 4091, 3947, 3439, 2665, 1772, 932,
306, 13, 110, 577, 1327, 2214, 3070, 3729, 4067, 4018,
3591, 2869, 1990, 1121, 430, 49, 50, 435, 1128, 1997,
2876, 3596, 4020, 4066, 3725, 3062, 2205, 1318, 571, 107,
14, 311, 941, 1783, 2676, 3448, 3952, 4091, 3838, 3242,
2417, 1522, 727, 185, 0, 208, 768, 1574, 2470, 3286,
3864, 4093, 3931, 3408, 2623, 1729, 895, 282, 8, 125,
611, 1372, 2262, 3112, 3757, 4075, 4003, 3557, 2821, 1937,
1074, 397, 38, 63, 470, 1179, 2055, 2929, 3634, 4035,
4055, 3689, 3009, 2144, 1260, 528, 87, 23, 347, 997,
1849, 2739, 3496, 3976, 4085, 3803, 3184, 2347, 1453, 672,
156, 2, 242, 827, 1648, 2544, 3346, 3898, 4095, 3899,
3347, 2546, 1649, 829, 242, 3, 155, 672, 1452, 2347,
3184, 3803, 4085, 3976, 3496, 2738, 1847, 995, 345, 22,
88, 531, 1265, 2149, 3014, 3693, 4056, 4033, 3629, 2921,
2045, 1169, 463, 61, 40, 405, 1086, 1952, 2836, 3568,
4009, 4072, 3746, 3094, 2240, 1350, 594, 117, 11, 297,
919, 1758, 2653, 3432, 3944, 4092, 3847, 3255, 2432, 1535,
736, 189, 0, 205, 763, 1569, 2467, 3284, 3863, 4094,
3930, 3405, 2618, 1722, 888, 277, 7, 130, 621, 1387,
2279, 3128, 3768, 4078, 3996, 3540, 2797, 1909, 1048, 380,
32, 72, 492, 1212, 2092, 2964, 3659, 4045, 4046, 3662,
2968, 2096, 1215, 495, 73, 31, 378, 1046, 1906, 2794,
3539, 3996, 4078, 3769, 3129, 2280, 1387, 621, 129, 7,
278, 890, 1724, 2621, 3407, 3932, 4093, 3861, 3279, 2460,
1562, 757, 201, 0, 194, 745, 1547, 2445, 3267, 3854,
4093, 3938, 3418, 2635, 1738, 901, 285, 9, 125, 612,
1375, 2268, 3119, 3763, 4076, 3999, 3545, 2803, 1915, 1052,
382, 32, 71, 491, 1211, 2092, 2965, 3660, 4045, 4045,
3659, 2963, 2090, 1209, 490, 71, 33, 383, 1055, 1918,
2806, 3548, 4000, 4076, 3761, 3115, 2263, 1370, 607, 123,
9, 289, 908, 1747, 2644, 3425, 3941, 4092, 3848, 3257,
2432, 1533, 734, 187, 0, 208, 771, 1580, 2479, 3295,
3871, 4094, 3923, 3389, 2597, 1698, 867, 264, 5, 140,
644, 1418, 2314, 3159, 3789, 4082, 3983, 3511, 2755, 1863,
1007, 351, 23, 86, 528, 1263, 2149, 3016, 3696, 4057,
4031, 3621, 2907, 2027, 1151, 449, 55, 46, 423, 1115,
1986, 2870, 3594, 4020, 4065, 3720, 3052, 2189, 1300, 555,
98, 18, 330, 974, 1826, 2720, 3485, 3971, 4086, 3807,
3188, 2348, 1450, 668, 152, 3, 249, 842, 1669, 2569,
3367, 3911, 4095, 3882, 3315, 2503, 1603, 788, 218, 0,
179, 719, 1516, 2416, 3244, 3841, 4091, 3946, 3434, 2653,
1755, 914, 292, 10, 121, 606, 1369, 2263, 3116, 3762,
4076, 3998, 3543, 2798, 1908, 1045, 376, 30, 75, 502,
1227, 2112, 2984, 3675, 4051, 4039, 3642, 2936, 2058, 1178,
467, 61, 40, 408, 1092, 1962, 2849, 3580, 4014, 4068,
3731, 3067, 2207, 1315, 565, 102, 16, 323, 964, 1815,
2711, 3478, 3968, 4087, 3810, 3192, 2352, 1453, 670, 153,
3, 249, 844, 1672, 2572, 3371, 3914, 4095, 3879, 3308,
2494, 1592, 779, 212, 0, 185, 731, 1532, 2433, 3259,
3850, 4092, 3938, 3417, 2631, 1732, 893, 279, 7, 131,
626, 1397, 2294, 3143, 3780, 4081, 3987, 3518, 2763, 1870,
1011, 353, 24, 87, 530, 1267, 2156, 3024, 3702, 4060,
4027, 3610, 2891, 2007, 1132, 434, 49, 52, 442, 1143,
2020, 2902, 3619, 4030, 4057, 3694, 3012, 2142, 1254, 520,
82, 26, 362, 1025, 1886, 2779, 3530, 3993, 4079, 3770,
3127, 2275, 1378, 612, 124, 9, 290, 913, 1755, 2654,
3436, 3948, 4091, 3837, 3236, 2404, 1503, 707, 172, 1,
227, 807, 1628, 2530, 3338, 3896, 4095, 3896, 3338, 2530,
1628, 807, 227, 1, 172, 708, 1504, 2405, 3237, 3838,
4091, 3947, 3434, 2651, 1752, 909, 288, 9, 126, 616,
1384, 2282, 3134, 3774, 4080, 3990, 3523, 2769, 1875, 1014,
354, 24, 87, 530, 1269, 2159, 3028, 3706, 4061, 4025,
3605, 2881, 1996, 1121, 426, 46, 55, 452, 1159, 2039,
2920, 3632, 4036, 4053, 3680, 2989, 2116, 1229, 501, 74,
31, 380, 1054, 1921, 2812, 3555, 4004, 4073, 3748, 3092,
2233, 1337, 580, 108, 14, 316, 954, 1805, 2703, 3474,
3967, 4087, 3809, 3189, 2347, 1446, 662, 148, 4, 257,
859, 1692, 2595, 3391, 3925, 4094, 3864, 3281, 2458, 1554,
747, 193, 0, 206, 770, 1583, 2487, 3305, 3878, 4095,
3913, 3368, 2565, 1662, 834, 242, 2, 160, 686, 1477,
2379, 3217, 3826, 4090, 3955, 3449, 2669, 1769, 923, 296,
10, 121, 608, 1375, 2273, 3127, 3771, 4079, 3991, 3524,
2770, 1874, 1013, 353, 23, 88, 535, 1277, 2169, 3037,
3713, 4063, 4021, 3594, 2866, 1978, 1103, 413, 41, 61,
468, 1183, 2066, 2946, 3651, 4043, 4046, 3659, 2958, 2079,
1194, 476, 64, 39, 405, 1092, 1966, 2855, 3587, 4018,
4065, 3719, 3046, 2178, 1285, 541, 91, 22, 349, 1007,
1868, 2764, 3521, 3990, 4080, 3773, 3130, 2275, 1376, 608,
121, 10, 297, 925, 1772, 2674, 3453, 3957, 4089, 3822,
3209, 2369, 1466, 677, 155, 3, 250, 848, 1680, 2584,
3383, 3922, 4094, 3867, 3284, 2460, 1556, 747, 192, 0,
208, 775, 1590, 2495, 3313, 3883, 4095, 3907, 3355, 2548,
1644, 818, 232, 1, 170, 706, 1504, 2408, 3242, 3842,
4092, 3942, 3422, 2633, 1730, 889, 274, 6, 137, 641,
1420, 2322, 3170, 3799, 4085, 3973, 3485, 2715, 1815, 961,
319, 15, 108, 581, 1340, 2238, 3098, 3753, 4075, 4000,
3543, 2794, 1899, 1032, 365, 26, 83, 524, 1263, 2155,
3027, 3707, 4062, 4023, 3598, 2869, 1980, 1104, 412, 41,
62, 471, 1189, 2075, 2956, 3659, 4046, 4042, 3649, 2941,
2059, 1175, 461, 58, 44, 423, 1119, 1997, 2885, 3609,
4028, 4058, 3696, 3010, 2136, 1245, 510, 77, 30, 377,
1052, 1921, 2816, 3560, 4007, 4071, 3739, 3075, 2211, 1314,
561, 99, 18, 336, 988, 1848, 2747, 3509, 3985, 4081,
3779, 3138, 2283, 1382, 611, 122, 10, 297, 928, 1777,
2680, 3458, 3961, 4088, 3816, 3197, 2352, 1448, 662, 147,
4, 262, 870, 1709, 2614, 3408, 3935, 4093, 3849, 3252,
2419, 1514, 712, 173, 1, 230, 816, 1643, 2549, 3357,
3908, 4095, 3880, 3305, 2484, 1577, 763, 200, 0, 201,
765, 1580, 2486, 3307, 3881, 4095, 3907, 3355, 2546, 1639,
813, 228, 1, 175, 716, 1519, 2425, 3258, 3852, 4093,
3932, 3402, 2605, 1700, 862, 257, 4, 151, 671, 1461,
2366, 3209, 3823, 4089, 3955, 3446, 2662, 1758, 911, 286,
8, 130, 629, 1406, 2309, 3161, 3794, 4084, 3975, 3487,
2716, 1814, 958, 316, 14, 111, 589, 1353, 2253, 3114,
3764, 4078, 3993, 3525, 2768, 1869, 1005, 345, 21, 94,
551, 1303, 2200, 3068, 3735, 4070, 4008, 3561, 2817, 1921,
1050, 375, 29, 79, 517, 1255, 2149, 3023, 3705, 4062,
4022, 3595, 2863, 1971, 1094, 404, 38, 66, 484, 1210,
2100, 2980, 3676, 4053, 4035, 3626, 2907, 2019, 1136, 433,
47, 55, 454, 1167, 2053, 2938, 3648, 4043, 4045, 3655,
2948, 2064, 1177, 461, 57, 45, 426, 1127, 2008, 2898,
3620, 4032, 4054, 3682, 2987, 2108, 1217, 489, 68, 36,
401, 1089, 1966, 2859, 3592, 4022, 4062, 3706, 3024, 2149,
1255, 516, 79, 29, 377, 1054, 1926, 2822, 3566, 4011,
4069, 3729, 3058, 2188, 1291, 542, 90, 23, 355, 1021,
1888, 2787, 3541, 4000, 4075, 3750, 3090, 2225, 1325, 567,
101, 18, 335, 990, 1853, 2754, 3516, 3989, 4079, 3769,
3120, 2259, 1357, 591, 112, 14, 317, 961, 1819, 2722,
3493, 3978, 4083, 3787, 3148, 2292, 1388, 613, 122, 10,
300, 934, 1788, 2693, 3471, 3968, 4086, 3803, 3173, 2322,
1416, 635, 132, 8, 285, 910, 1759, 2665, 3450, 3958,
4089, 3817, 3196, 2349, 1443, 655, 142, 5, 271, 888,
1733, 2640, 3430, 3948, 4090, 3830, 3218, 2375, 1467, 674,
152, 4, 259, 867, 1708, 2616, 3412, 3939, 4092, 3842,
3237, 2398, 1489, 691, 161, 2, 248, 849, 1686, 2595,
3396, 3930, 4093, 3852, 3255, 2419, 1510, 707, 169, 2,
238, 832, 1666, 2576, 3381, 3922, 4094, 3861, 3270, 2438,
1528, 721, 176, 1, 230, 818, 1649, 2558, 3367, 3915,
4094, 3869, 3284, 2454, 1544, 734, 183, 1, 223, 805,
1633, 2543, 3355, 3909, 4095, 3876, 3295, 2469, 1558, 745,
189, 0, 216, 794, 1620, 2530, 3345, 3903, 4095, 3881,
3305, 2481, 1570, 754, 194, 0, 211, 785, 1609, 2520,
3337, 3899, 4095, 3886, 3314, 2491, 1580, 762, 198, 0,
207, 778, 1600, 2511, 3330, 3895, 4095, 3890, 3320, 2499,
1588, 768, 201, 0, 204, 772, 1593, 2504, 3325, 3892,
4095, 3892, 3325, 2504, 1593, 772, 204, 0, 202, 769,
1589, 2500, 3321, 3891, 4095, 3894, 3328, 2508, 1597, 775,
205, 0, 200, 767, 1586, 2498, 3320, 3890, 4095, 3895,
3329, 2509, 1598, 776, 205, 0, 200, 766, 1586, 2498,
3320, 3890, 4095, 3895, 3328, 2508, 1597, 775, 205, 0,
201, 768, 1588, 2500, 3321, 3891, 4095, 3893, 3326, 2505,
1594, 772, 203, 0, 203, 771, 1592, 2504, 3325, 3893,
4095, 3891, 3322, 2500, 1588, 768, 201, 0, 205, 776,
1599, 2510, 3330, 3896, 4095, 3888, 3316, 2493, 1581, 761,
197, 0, 209, 782, 1607, 2519, 3337, 3900, 4095, 3884,
3309, 2483, 1571, 754, 193, 0, 214, 791, 1618, 2530,
3346, 3905, 4095, 3879, 3299, 2471, 1559, 744, 188, 0,
219, 801, 1630, 2542, 3356, 3910, 4095, 3872, 3288, 2457,
1545, 733, 182, 1, 226, 813, 1645, 2557, 3368, 3917,
4094, 3865, 3275, 2441, 1529, 720, 175, 1, 234, 827,
1663, 2575, 3382, 3924, 4094, 3857, 3260, 2423, 1511, 706,
167, 2, 243, 843, 1682, 2594, 3397, 3932, 4093, 3847,
3244, 2402, 1491, 690, 159, 3, 253, 861, 1704, 2615,
3414, 3941, 4091, 3836, 3225, 2380, 1469, 672, 150, 4,
265, 880, 1727, 2638, 3432, 3950, 4090, 3824, 3204, 2355,
1444, 654, 140, 6, 278, 902, 1754, 2664, 3451, 3960,
4088, 3810, 3182, 2328, 1418, 633, 130, 9, 292, 926,
1782, 2691, 3472, 3970, 4085, 3795, 3157, 2298, 1389, 612,
120, 12, 308, 951, 1812, 2720, 3494, 3980, 4082, 3778,
3130, 2266, 1359, 589, 109, 15, 326, 979, 1845, 2752,
3518, 3991, 4078, 3760, 3101, 2232, 1327, 565, 98, 20,
345, 1009, 1880, 2785, 3542, 4002, 4073, 3740, 3070, 2196,
1293, 540, 87, 25, 366, 1042, 1918, 2820, 3568, 4013,
4067, 3718, 3036, 2158, 1257, 514, 76, 32, 389, 1076,
1958, 2857, 3594, 4024, 4060, 3694, 3000, 2117, 1219, 487,
66, 39, 413, 1113, 1999, 2895, 3622, 4035, 4051, 3668,
2962, 2074, 1180, 459, 55, 48, 440, 1153, 2044, 2935,
3650, 4045, 4042, 3641, 2922, 2029, 1139, 431, 45, 59,
469, 1194, 2090, 2977, 3679, 4055, 4030, 3611, 2879, 1981,
1097, 402, 36, 71, 500, 1239, 2138, 3020, 3708, 4064,
4018, 3578, 2833, 1931, 1053, 373, 27, 84, 534, 1285,
2189, 3065, 3737, 4072, 4003, 3543, 2785, 1880, 1008, 343,
19, 100, 570, 1335, 2242, 3110, 3767, 4079, 3986, 3506,
2735, 1826, 961, 314, 12, 118, 608, 1387, 2297, 3157,
3796, 4086, 3968, 3466, 2681, 1770, 914, 284, 7, 137,
650, 1441, 2354, 3205, 3825, 4090, 3947, 3424, 2626, 1712,
865, 255, 3, 160, 694, 1498, 2413, 3254, 3854, 4093,
3923, 3378, 2567, 1652, 816, 226, 1, 184, 740, 1558,
2473, 3304, 3883, 4095, 3898, 3330, 2506, 1590, 766, 198,
0, 211, 790, 1620, 2536, 3354, 3911, 4094, 3869, 3279,
2443, 1527, 716, 171, 2, 242, 843, 1685, 2600, 3404,
3937, 4092, 3837, 3225, 2376, 1462, 665, 145, 5, 275,
899, 1753, 2666, 3455, 3963, 4087, 3803, 3167, 2308, 1396,
615, 120, 12, 311, 958, 1823, 2733, 3506, 3987, 4079,
3765, 3107, 2236, 1328, 564, 97, 21, 350, 1020, 1895,
2801, 3556, 4009, 4069, 3724, 3043, 2163, 1259, 514, 76,
33, 393, 1085, 1970, 2871, 3606, 4029, 4055, 3679, 2976,
2086, 1189, 464, 56, 48, 440, 1154, 2048, 2941, 3655,
4047, 4039, 3631, 2905, 2008, 1119, 415, 40, 66, 490,
1226, 2127, 3012, 3703, 4063, 4018, 3578, 2832, 1927, 1047,
368, 25, 88, 544, 1301, 2209, 3083, 3750, 4076, 3994,
3522, 2755, 1845, 976, 322, 14, 114, 602, 1380, 2292,
3155, 3796, 4086, 3967, 3462, 2674, 1761, 904, 277, 6,
144, 664, 1462, 2377, 3227, 3839, 4092, 3935, 3398, 2591,
1674, 833, 235, 1, 178, 730, 1547, 2464, 3298, 3880,
4095, 3898, 3330, 2504, 1587, 762, 195, 0, 217, 801,
1635, 2552, 3368, 3919, 4094, 3857, 3258, 2415, 1498, 692,
158, 3, 260, 875, 1726, 2642, 3438, 3955, 4088, 3812,
3181, 2322, 1408, 623, 123, 11, 308, 954, 1820, 2732,
3506, 3987, 4079, 3762, 3100, 2227, 1318, 555, 93, 23,
361, 1037, 1917, 2823, 3573, 4016, 4064, 3706, 3015, 2129,
1227, 489, 66, 40, 419, 1125, 2016, 2914, 3638, 4041,
4044, 3645, 2925, 2028, 1135, 426, 43, 63, 482, 1216,
2118, 3005, 3700, 4062, 4019, 3579, 2831, 1926, 1045, 365,
24, 90, 551, 1312, 2221, 3096, 3759, 4078, 3988, 3508,
2734, 1821, 954, 307, 11, 124, 625, 1412, 2327, 3185,
3815, 4089, 3952, 3431, 2632, 1715, 865, 253, 3, 164,
704, 1515, 2433, 3274, 3867, 4094, 3909, 3349, 2527, 1608,
778, 203, 0, 209, 789, 1622, 2541, 3360, 3915, 4094,
3860, 3261, 2418, 1500, 692, 157, 3, 262, 879, 1733,
2650, 3445, 3959, 4087, 3805, 3168, 2306, 1391, 609, 116,
13, 320, 975, 1847, 2758, 3527, 3997, 4074, 3743, 3070,
2190, 1282, 528, 81, 30, 386, 1076, 1963, 2867, 3605,
4030, 4054, 3674, 2966, 2073, 1174, 452, 51, 53, 458,
1183, 2082, 2975, 3680, 4056, 4027, 3599, 2857, 1952, 1067,
379, 28, 84, 537, 1294, 2203, 3081, 3751, 4076, 3993,
3516, 2744, 1830, 961, 311, 11, 123, 623, 1410, 2326,
3186, 3816, 4089, 3950, 3427, 2625, 1707, 857, 248, 2,
169, 715, 1531, 2450, 3289, 3876, 4095, 3900, 3331, 2503,
1582, 756, 191, 0, 223, 815, 1655, 2575, 3388, 3930,
4092, 3841, 3228, 2376, 1458, 659, 140, 7, 286, 921,
1784, 2700, 3484, 3978, 4082, 3775, 3119, 2246, 1333, 565,
96, 22, 357, 1033, 1915, 2824, 3575, 4018, 4063, 3700,
3003, 2113, 1210, 476, 60, 46, 436, 1152, 2050, 2946,
3662, 4050, 4034, 3616, 2881, 1977, 1088, 392, 32, 78,
524, 1277, 2186, 3067, 3742, 4074, 3996, 3524, 2754, 1840,
968, 315, 12, 121, 620, 1407, 2324, 3185, 3816, 4089,
3949, 3424, 2621, 1701, 852, 244, 2, 173, 724, 1543,
2463, 3300, 3883, 4095, 3892, 3316, 2483, 1562, 739, 181,
1, 235, 836, 1682, 2603, 3410, 3942, 4091, 3825, 3200,
2341, 1423, 631, 126, 10, 307, 956, 1826, 2741, 3516,
3993, 4076, 3748, 3076, 2195, 1285, 529, 80, 30, 389,
1084, 1974, 2878, 3615, 4034, 4050, 3661, 2945, 2047, 1149,
433, 44, 61, 481, 1218, 2123, 3013, 3707, 4065, 4014,
3564, 2807, 1896, 1016, 344, 18, 104, 583, 1359, 2275,
3145, 3792, 4085, 3966, 3457, 2663, 1744, 886, 264, 4,
158, 695, 1506, 2428, 3272, 3868, 4095, 3906, 3341, 2513,
1591, 762, 193, 0, 223, 816, 1658, 2580, 3394, 3934,
4092, 3835, 3215, 2359, 1439, 643, 131, 9, 300, 946,
1815, 2732, 3509, 3990, 4077, 3752, 3081, 2200, 1288, 531,
81, 30, 389, 1085, 1976, 2881, 3617, 4035, 4049, 3657,
2938, 2038, 1140, 427, 42, 65, 490, 1231, 2138, 3027,
3717, 4068, 4008, 3551, 2788, 1874, 996, 331, 15, 112,
602, 1385, 2303, 3169, 3807, 4088, 3954, 3433, 2630, 1709,
857, 246, 2, 173, 725, 1545, 2468, 3305, 3887, 4095,
3887, 3305, 2467, 1544, 724, 172, 2, 247, 858, 1711,
2633, 3435, 3955, 4088, 3806, 3166, 2299, 1381, 598, 110,
16, 335, 1002, 1882, 2795, 3556, 4011, 4066, 3711, 3018,
2127, 1220, 481, 61, 45, 436, 1155, 2055, 2954, 3669,
4053, 4030, 3603, 2860, 1952, 1063, 374, 26, 89, 550,
1317, 2231, 3109, 3770, 4081, 3978, 3483, 2695, 1775, 911,
278, 5, 148, 677, 1486, 2408, 3257, 3860, 4094, 3912,
3349, 2522, 1599, 766, 195, 0, 223, 817, 1661, 2584,
3398, 3937, 4091, 3829, 3205, 2344, 1423, 630, 125, 11,
312, 967, 1842, 2758, 3530, 4000, 4072, 3732, 3049, 2161,
1251, 503, 69, 39, 417, 1128, 2026, 2929, 3652, 4048,
4036, 3620, 2883, 1975, 1083, 387, 29, 83, 537, 1299,
2213, 3094, 3761, 4079, 3983, 3493, 2708, 1788, 921, 284,
6, 145, 671, 1478, 2401, 3252, 3858, 4094, 3913, 3352,
2525, 1600, 767, 195, 0, 223, 818, 1664, 2588, 3402,
3939, 4091, 3826, 3198, 2336, 1415, 622, 121, 12, 319,
978, 1855, 2772, 3541, 4005, 4070, 3722, 3032, 2142, 1232,
489, 64, 43, 431, 1150, 2051, 2952, 3668, 4053, 4029,
3601, 2856, 1945, 1056, 369, 24, 93, 560, 1331, 2249,
3125, 3781, 4084, 3970, 3464, 2669, 1747, 886, 263, 3,
161, 705, 1522, 2447, 3290, 3880, 4095, 3892, 3313, 2475,
1550, 726, 173, 2, 249, 863, 1720, 2643, 3445, 3961,
4086, 3795, 3147, 2274, 1355, 577, 100, 21, 355, 1036,
1923, 2836, 3587, 4024, 4057, 3680, 2968, 2069, 1165, 442,
46, 60, 480, 1220, 2130, 3022, 3716, 4068, 4007, 3546,
2778, 1861, 982, 321, 13, 120, 622, 1415, 2338, 3201,
3828, 4091, 3937, 3396, 2579, 1653, 809, 217, 0, 202,
781, 1619, 2545, 3369, 3923, 4093, 3845, 3229, 2371, 1448,
646, 132, 9, 304, 955, 1829, 2749, 3525, 3998, 4073,
3733, 3048, 2158, 1246, 498, 67, 41, 426, 1143, 2045,
2947, 3666, 4053, 4030, 3601, 2854, 1942, 1052, 365, 23,
95, 567, 1342, 2262, 3137, 3790, 4085, 3964, 3450, 2649,
1724, 866, 250, 2, 173, 727, 1552, 2479, 3317, 3895,
4095, 3875, 3281, 2435, 1509, 693, 155, 4, 273, 904,
1770, 2693, 3484, 3980, 4080, 3764, 3096, 2214, 1297, 534,
81, 31, 394, 1097, 1994, 2902, 3635, 4042, 4041, 3632,
2897, 1988, 1092, 391, 30, 83, 538, 1302, 2220, 3102,
3768, 4081, 3977, 3478, 2685, 1762, 897, 268, 4, 159,
701, 1519, 2446, 3291, 3881, 4095, 3889, 3305, 2464, 1537,
714, 166, 3, 259, 883, 1745, 2670, 3466, 3972, 4083,
3776, 3115, 2235, 1316, 547, 86, 28, 384, 1081, 1977,
2887, 3625, 4039, 4044, 3640, 2909, 2001, 1102, 398, 32,
80, 531, 1294, 2212, 3096, 3764, 4080, 3979, 3482, 2689,
1765, 899, 269, 4, 158, 701, 1520, 2447, 3292, 3882,
4095, 3888, 3302, 2459, 1532, 710, 163, 3, 263, 890,
1754, 2679, 3474, 3976, 4082, 3770, 3104, 2221, 1303, 537,
82, 31, 394, 1096, 1995, 2904, 3637, 4043, 4040, 3627,
2889, 1979, 1082, 384, 28, 87, 548, 1318, 2238, 3119,
3779, 4084, 3970, 3460, 2661, 1735, 874, 253, 2, 171,
726, 1553, 2481, 3320, 3898, 4095, 3871, 3272, 2421, 1494,
680, 148, 6, 284, 925, 1797, 2720, 3505, 3990, 4076,
3744, 3064, 2174, 1258, 505, 69, 40, 424, 1142, 2046,
2951, 3670, 4055, 4027, 3591, 2838, 1923, 1033, 351, 19,
104, 589, 1375, 2298, 3170, 3811, 4089, 3947, 3414, 2599,
1671, 821, 223, 0, 199, 779, 1620, 2549, 3374, 3927,
4092, 3837, 3213, 2349, 1423, 626, 121, 13, 324, 990,
1874, 2793, 3559, 4014, 4064, 3698, 2993, 2092, 1183, 452,
49, 58, 477, 1219, 2132, 3028, 3722, 4070, 4002, 3531,
2755, 1833, 955, 302, 9, 136, 657, 1464, 2392, 3249,
3858, 4094, 3908, 3339, 2504, 1574, 742, 179, 1, 245,
861, 1721, 2648, 3452, 3966, 4085, 3783, 3124, 2243, 1321,
550, 87, 28, 386, 1086, 1985, 2897, 3633, 4042, 4041,
3628, 2889, 1976, 1079, 381, 27, 89, 556, 1330, 2252,
3132, 3789, 4086, 3962, 3444, 2637, 1709, 851, 239, 1,
185, 753, 1588, 2518, 3351, 3915, 4094, 3850, 3234, 2373,
1445, 642, 128, 11, 314, 975, 1857, 2778, 3549, 4010,
4066, 3705, 3002, 2102, 1190, 456, 50, 57, 474, 1217,
2131, 3028, 3722, 4070, 4001, 3529, 2750, 1827, 949, 297,
8, 139, 665, 1476, 2405, 3261, 3865, 4095, 3901, 3324,
2484, 1554, 725, 170, 2, 258, 883, 1748, 2676, 3473,
3977, 4081, 3765, 3095, 2208, 1287, 524, 76, 35, 410,
1124, 2028, 2936, 3661, 4052, 4029, 3596, 2843, 1926, 1034,
351, 19, 106, 595, 1384, 2310, 3182, 3820, 4091, 3939,
3397, 2575, 1644, 797, 208, 0, 215, 809, 1659, 2590,
3408, 3945, 4089, 3812, 3169, 2294, 1369, 583, 101, 21,
361, 1049, 1944, 2861, 3609, 4034, 4048, 3649, 2918, 2006,
1104, 397, 31, 83, 541, 1311, 2233, 3117, 3780, 4084,
3967, 3452, 2647, 1717, 856, 242, 1, 184, 753, 1589,
2521, 3355, 3918, 4093, 3846, 3226, 2362, 1433, 631, 123,
13, 324, 993, 1879, 2801, 3567, 4018, 4061, 3687, 2973,
2068, 1159, 433, 42, 67, 501, 1256, 2175, 3068, 3749,
4077, 3986, 3492, 2700, 1772, 901, 268, 3, 163, 712,
1539, 2470, 3315, 3896, 4095, 3869, 3266, 2410, 1479, 666,
139, 8, 299, 953, 1834, 2759, 3536, 4005, 4068, 3712,
3011, 2111, 1197, 459, 51, 57, 475, 1220, 2136, 3034,
3727, 4072, 3997, 3518, 2734, 1808, 931, 286, 6, 149,
687, 1506, 2438, 3289, 3882, 4095, 3883, 3290, 2440, 1508,
688, 150, 6, 285, 930, 1807, 2734, 3518, 3998, 4072,
3727, 3033, 2134, 1218, 474, 56, 52, 462, 1201, 2116,
3016, 3716, 4069, 4003, 3531, 2751, 1825, 945, 294, 7,
144, 676, 1493, 2425, 3278, 3877, 4095, 3888, 3299, 2450,
1518, 695, 153, 5, 281, 923, 1799, 2727, 3514, 3996,
4073, 3730, 3037, 2139, 1221, 476, 57, 51, 460, 1199,
2114, 3016, 3716, 4069, 4003, 3530, 2749, 1823, 943, 292,
7, 145, 679, 1497, 2430, 3283, 3879, 4095, 3885, 3293,
2443, 1510, 689, 150, 6, 286, 932, 1811, 2738, 3522,
3999, 4071, 3722, 3025, 2124, 1208, 466, 53, 55, 471,
1215, 2132, 3032, 3727, 4072, 3997, 3516, 2730, 1802, 925,
281, 5, 154, 696, 1520, 2454, 3303, 3890, 4095, 3873,
3272, 2416, 1483, 668, 139, 8, 301, 958, 1841, 2767,
3544, 4009, 4066, 3703, 2995, 2091, 1177, 444, 45, 63,
494, 1248, 2169, 3064, 3748, 4078, 3985, 3489, 2692, 1762,
891, 261, 3, 170, 729, 1562, 2496, 3337, 3909, 4094,
3853, 3235, 2371, 1439, 633, 123, 13, 327, 999, 1890,
2813, 3577, 4023, 4057, 3672, 2949, 2038, 1129, 412, 35,
77, 530, 1300, 2225, 3113, 3779, 4084, 3965, 3447, 2636,
1704, 842, 232, 0, 195, 776, 1622, 2557, 3385, 3935,
4091, 3821, 3182, 2306, 1376, 586, 101, 22, 364, 1058,
1958, 2877, 3623, 4040, 4042, 3628, 2884, 1966, 1065, 369,
23, 99, 581, 1369, 2299, 3176, 3818, 4091, 3937, 3389,
2562, 1627, 780, 197, 0, 231, 840, 1701, 2635, 3446,
3965, 4084, 3778, 3111, 2222, 1297, 528, 76, 36, 415,
1135, 2046, 2956, 3678, 4059, 4020, 3569, 2801, 1876, 986,
318, 11, 129, 647, 1458, 2392, 3254, 3864, 4095, 3898,
3315, 2468, 1532, 704, 157, 5, 279, 922, 1800, 2730,
3518, 3998, 4071, 3722, 3022, 2119, 1201, 460, 51, 58,
481, 1231, 2152, 3051, 3740, 4076, 3988, 3495, 2699, 1767,
894, 262, 3, 171, 731, 1567, 2503, 3343, 3914, 4094,
3846, 3223, 2354, 1421, 619, 115, 16, 341, 1023, 1919,
2842, 3599, 4031, 4049, 3649, 2914, 1997, 1091, 385, 27,
91, 564, 1347, 2277, 3159, 3808, 4089, 3944, 3401, 2576,
1640, 789, 202, 0, 227, 834, 1695, 2630, 3443, 3964,
4084, 3778, 3110, 2220, 1293, 525, 75, 37, 420, 1144,
2057, 2967, 3686, 4061, 4015, 3558, 2784, 1856, 968, 306,
9, 138, 667, 1484, 2420, 3278, 3878, 4095, 3884, 3288,
2432, 1496, 676, 142, 8, 300, 958, 1845, 2773, 3550,
4012, 4063, 3692, 2976, 2066, 1152, 426, 39, 72, 520,
1287, 2214, 3105, 3776, 4084, 3966, 3446, 2633, 1697, 835,
227, 0, 202, 791, 1643, 2579, 3405, 3946, 4089, 3804,
3152, 2268, 1338, 556, 87, 29, 394, 1105, 2014, 2930,
3661, 4054, 4026, 3584, 2820, 1894, 1000, 326, 12, 126,
642, 1453, 2388, 3252, 3864, 4095, 3896, 3310, 2459, 1522,
695, 152, 6, 288, 939, 1822, 2753, 3536, 4007, 4066,
3703, 2992, 2083, 1167, 435, 42, 69, 511, 1276, 2202,
3096, 3770, 4083, 3969, 3451, 2639, 1703, 839, 229, 0,
201, 789, 1641, 2579, 3405, 3946, 4089, 3803, 3149, 2264,
1333, 553, 86, 30, 398, 1113, 2023, 2939, 3667, 4056,
4023, 3575, 2807, 1879, 987, 317, 11, 132, 655, 1471,
2408, 3269, 3874, 4095, 3886, 3291, 2435, 1498, 676, 142,
8, 303, 964, 1853, 2782, 3558, 4016, 4061, 3683, 2961,
2047, 1134, 412, 34, 79, 538, 1313, 2243, 3132, 3793,
4087, 3953, 3418, 2596, 1658, 802, 208, 0, 223, 829,
1691, 2629, 3444, 3965, 4084, 3774, 3102, 2208, 1280, 514,
70, 41, 435, 1167, 2085, 2995, 3705, 4067, 4005, 3531,
2745, 1812, 929, 281, 5, 158, 708, 1540, 2479, 3327,
3906, 4094, 3852, 3230, 2359, 1423, 618, 114, 17, 346,
1034, 1935, 2859, 3613, 4038, 4043, 3629, 2882, 1960, 1056,
360, 20, 106, 601, 1400, 2336, 3210, 3841, 4093, 3915,
3345, 2501, 1561, 724, 166, 3, 271, 913, 1794, 2728,
3518, 4000, 4070, 3714, 3008, 2099, 1180, 443, 44, 67,
507, 1271, 2199, 3095, 3770, 4083, 3967, 3447, 2632, 1694,
830, 223, 0, 208, 804, 1662, 2600, 3423, 3956, 4086,
3788, 3122, 2231, 1300, 527, 75, 38, 424, 1153, 2070,
2982, 3698, 4065, 4008, 3537, 2753, 1820, 935, 284, 5,
156, 707, 1539, 2479, 3328, 3907, 4094, 3850, 3225, 2353,
1416, 612, 111, 18, 353, 1045, 1949, 2873, 3623, 4041,
4039, 3617, 2864, 1938, 1036, 347, 17, 114, 620, 1427,
2364, 3235, 3855, 4094, 3902, 3318, 2466, 1526, 696, 151,
6, 292, 948, 1836, 2769, 3549, 4013, 4062, 3686, 2964,
2049, 1133, 411, 33, 81, 544, 1324, 2257, 3145, 3802,
4089, 3945, 3400, 2570, 1630, 777, 193, 1, 240, 861,
1732, 2670, 3477, 3982, 4078, 3746, 3055, 2151, 1226, 474,
54, 55, 477, 1231, 2157, 3059, 3749, 4079, 3980, 3473,
2665, 1726, 856, 237, 0, 197, 784, 1638, 2578, 3407,
3948, 4088, 3797, 3136, 2245, 1313, 535, 78, 36, 419,
1147, 2064, 2979, 3696, 4065, 4008, 3536, 2750, 1815, 930,
280, 4, 160, 715, 1552, 2493, 3340, 3914, 4093, 3840,
3208, 2331, 1393, 594, 102, 22, 370, 1072, 1981, 2904,
3645, 4049, 4030, 3591, 2826, 1897, 999, 323, 11, 131,
655, 1475, 2415, 3278, 3880, 4095, 3877, 3272, 2407, 1467,
650, 128, 12, 327, 1006, 1905, 2835, 3597, 4032, 4047,
3639, 2894, 1970, 1062, 363, 20, 106, 603, 1406, 2345,
3220, 3848, 4094, 3907, 3327, 2476, 1534, 701, 153, 6,
291, 948, 1838, 2772, 3553, 4015, 4060, 3680, 2953, 2035,
1120, 400, 30, 87, 559, 1346, 2282, 3168, 3817, 4091,
3932, 3374, 2535, 1593, 747, 176, 2, 261, 899, 1779,
2717, 3513, 3998, 4070, 3714, 3004, 2092, 1170, 435, 40,
72, 522, 1295, 2228, 3122, 3789, 4087, 3952, 3414, 2587,
1644, 788, 198, 0, 237, 857, 1729, 2669, 3477, 3982,
4077, 3742, 3047, 2141, 1214, 465, 50, 60, 491, 1251,
2181, 3083, 3764, 4082, 3969, 3448, 2630, 1688, 823, 217,
0, 217, 822, 1687, 2629, 3447, 3968, 4082, 3765, 3083,
2181, 1251, 490, 60, 51, 466, 1216, 2143, 3050, 3744,
4078, 3981, 3474, 2664, 1724, 852, 234, 0, 202, 795,
1654, 2596, 3422, 3957, 4086, 3782, 3110, 2213, 1281, 511,
67, 44, 446, 1188, 2113, 3024, 3727, 4074, 3990, 3494,
2691, 1751, 874, 246, 1, 190, 774, 1628, 2571, 3403,
3947, 4088, 3795, 3131, 2237, 1302, 526, 73, 40, 432,
1168, 2091, 3005, 3715, 4071, 3997, 3509, 2710, 1771, 890,
255, 2, 183, 760, 1611, 2554, 3390, 3941, 4089, 3804,
3145, 2252, 1317, 536, 77, 37, 424, 1156, 2078, 2993,
3707, 4069, 4000, 3517, 2721, 1782, 899, 261, 2, 178,
752, 1601, 2545, 3384, 3938, 4090, 3808, 3151, 2260, 1323,
541, 79, 36, 420, 1151, 2072, 2989, 3705, 4068, 4002,
3520, 2724, 1785, 902, 262, 2, 178, 751, 1600, 2544,
3383, 3938, 4090, 3808, 3151, 2259, 1322, 540, 78, 36,
422, 1153, 2075, 2992, 3707, 4069, 4000, 3516, 2720, 1780,
897, 259, 2, 180, 756, 1607, 2551, 3389, 3941, 4089,
3803, 3143, 2250, 1314, 533, 76, 38, 428, 1163, 2087,
3002, 3714, 4071, 3997, 3508, 2707, 1767, 886, 252, 1,
186, 768, 1622, 2567, 3401, 3947, 4088, 3795, 3129, 2233,
1297, 521, 71, 42, 440, 1181, 2106, 3019, 3725, 4074,
3990, 3493, 2687, 1745, 868, 242, 1, 196, 786, 1645,
2589, 3419, 3956, 4086, 3781, 3107, 2207, 1273, 504, 64,
47, 457, 1206, 2134, 3044, 3741, 4078, 3981, 3472, 2659,
1716, 843, 228, 0, 209, 811, 1676, 2620, 3443, 3967,
4082, 3763, 3078, 2173, 1241, 482, 56, 55, 479, 1238,
2170, 3075, 3762, 4082, 3968, 3445, 2623, 1678, 812, 210,
0, 227, 842, 1715, 2659, 3472, 3981, 4077, 3740, 3042,
2131, 1203, 454, 46, 65, 508, 1279, 2214, 3114, 3786,
4087, 3952, 3411, 2578, 1633, 775, 190, 1, 249, 882,
1763, 2705, 3507, 3997, 4070, 3712, 2998, 2081, 1157, 423,
36, 79, 542, 1327, 2266, 3158, 3813, 4091, 3932, 3370,
2526, 1579, 733, 167, 4, 277, 928, 1819, 2759, 3546,
4014, 4061, 3678, 2946, 2022, 1104, 388, 26, 96, 584,
1384, 2327, 3209, 3843, 4094, 3907, 3322, 2465, 1518, 685,
143, 8, 310, 983, 1883, 2819, 3590, 4031, 4048, 3637,
2886, 1955, 1045, 349, 16, 118, 632, 1450, 2395, 3266,
3876, 4095, 3876, 3266, 2395, 1450, 633, 118, 16, 349,
1045, 1956, 2887, 3637, 4048, 4030, 3589, 2817, 1881, 980,
308, 8, 145, 689, 1524, 2471, 3327, 3910, 4094, 3839,
3202, 2317, 1374, 576, 93, 28, 395, 1117, 2037, 2960,
3688, 4064, 4008, 3533, 2739, 1798, 909, 265, 2, 178,
753, 1606, 2554, 3393, 3944, 4088, 3796, 3129, 2230, 1292,
516, 68, 44, 449, 1197, 2127, 3040, 3740, 4078, 3980,
3469, 2653, 1707, 834, 221, 0, 217, 827, 1698, 2644,
3462, 3977, 4079, 3745, 3047, 2135, 1204, 454, 46, 66,
512, 1287, 2224, 3124, 3793, 4088, 3945, 3396, 2557, 1609,
755, 178, 2, 265, 910, 1799, 2741, 3535, 4009, 4063,
3685, 2955, 2031, 1110, 391, 26, 96, 584, 1386, 2330,
3213, 3847, 4094, 3902, 3313, 2452, 1504, 673, 136, 10,
321, 1003, 1908, 2844, 3608, 4038, 4041, 3615, 2854, 1919,
1012, 327, 11, 133, 665, 1495, 2442, 3306, 3899, 4094,
3851, 3220, 2337, 1393, 588, 98, 25, 387, 1106, 2026,
2952, 3683, 4063, 4010, 3536, 2742, 1799, 909, 264, 2,
179, 758, 1613, 2562, 3400, 3948, 4087, 3789, 3116, 2214,
1276, 504, 63, 49, 464, 1219, 2153, 3064, 3756, 4081,
3970, 3445, 2620, 1672, 805, 204, 0, 236, 861, 1741,
2687, 3496, 3993, 4072, 3716, 3001, 2081, 1154, 419, 34,
82, 552, 1344, 2287, 3178, 3827, 4092, 3919, 3342, 2488,
1538, 698, 149, 7, 305, 977, 1879, 2818, 3591, 4032,
4046, 3631, 2875, 1941, 1030, 338, 13, 127, 653, 1480,
2428, 3295, 3893, 4095, 3855, 3227, 2345, 1399, 593, 99,
25, 386, 1104, 2026, 2952, 3684, 4063, 4009, 3532, 2736,
1792, 903, 260, 2, 184, 767, 1626, 2576, 3412, 3954,
4086, 3779, 3099, 2193, 1256, 489, 57, 54, 481, 1244,
2181, 3089, 3772, 4085, 3958, 3420, 2587, 1637, 776, 188,
1, 255, 895, 1783, 2728, 3527, 4006, 4064, 3688, 2958,
2032, 1109, 389, 25, 98, 590, 1397, 2344, 3226, 3855,
4095, 3893, 3293, 2426, 1476, 650, 125, 14, 342, 1037,
1950, 2884, 3638, 4049, 4028, 3581, 2803, 1863, 962, 295,
6, 157, 716, 1561, 2512, 3363, 3930, 4091, 3811, 3152,
2254, 1311, 528, 72, 42, 445, 1193, 2125, 3041, 3743,
4079, 3976, 3458, 2636, 1686, 815, 209, 0, 233, 857,
1738, 2685, 3496, 3993, 4071, 3713, 2995, 2072, 1145, 412,
32, 87, 565, 1363, 2309, 3198, 3839, 4094, 3907, 3318,
2456, 1505, 671, 135, 11, 327, 1014, 1924, 2861, 3623,
4044, 4034, 3595, 2823, 1882, 978, 304, 7, 150, 703,
1546, 2498, 3352, 3924, 4092, 3817, 3161, 2264, 1320, 534,
74, 41, 441, 1188, 2121, 3038, 3741, 4078, 3977, 3459,
2636, 1686, 814, 208, 0, 234, 860, 1743, 2691, 3500,
3996, 4070, 3707, 2986, 2062, 1135, 405, 30, 91, 575,
1377, 2324, 3212, 3847, 4094, 3899, 3303, 2436, 1485, 655,
127, 14, 340, 1036, 1950, 2885, 3640, 4050, 4027, 3576,
2795, 1852, 951, 288, 5, 163, 730, 1581, 2533, 3380,
3939, 4089, 3797, 3127, 2223, 1282, 506, 63, 50, 469,
1229, 2166, 3078, 3767, 4084, 3960, 3423, 2587, 1636, 773,
186, 2, 260, 906, 1798, 2744, 3540, 4013, 4060, 3672,
2932, 2001, 1080, 368, 20, 111, 620, 1439, 2390, 3266,
3879, 4095, 3868, 3247, 2366, 1416, 603, 103, 23, 382,
1102, 2026, 2955, 3687, 4065, 4005, 3522, 2719, 1771, 883,
247, 1, 198, 796, 1665, 2617, 3446, 3971, 4080, 3749,
3049, 2132, 1197, 446, 42, 72, 531, 1318, 2263, 3161,
3818, 4092, 3922, 3346, 2489, 1536, 694, 145, 9, 314,
995, 1904, 2844, 3612, 4040, 4037, 3602, 2831, 1889, 982,
306, 7, 151, 706, 1552, 2505, 3359, 3929, 4091, 3810,
3147, 2245, 1301, 518, 68, 46, 459, 1216, 2153, 3068,
3761, 4083, 3963, 3428, 2593, 1640, 776, 187, 2, 260,
907, 1800, 2748, 3543, 4014, 4059, 3667, 2923, 1990, 1069,
360, 18, 116, 633, 1457, 2409, 3283, 3889, 4095, 3857,
3226, 2339, 1390, 583, 93, 28, 402, 1132, 2061, 2988,
3710, 4071, 3993, 3493, 2679, 1727, 846, 225, 0, 219,
836, 1715, 2667, 3484, 3989, 4073, 3717, 2998, 2073, 1142,
408, 30, 90, 576, 1381, 2330, 3219, 3853, 4095, 3892,
3288, 2415, 1462, 637, 117, 17, 358, 1066, 1988, 2922,
3666, 4059, 4014, 3542, 2746, 1797, 903, 258, 1, 190,
781, 1649, 2602, 3436, 3967, 4081, 3754, 3055, 2137, 1200,
447, 42, 73, 533, 1322, 2269, 3168, 3823, 4092, 3917,
3335, 2473, 1519, 679, 137, 11, 327, 1018, 1932, 2872,
3632, 4048, 4029, 3578, 2795, 1850, 947, 284, 4, 169,
742, 1600, 2555, 3399, 3950, 4086, 3779, 3096, 2184, 1242,
476, 52, 61, 503, 1281, 2226, 3132, 3802, 4090, 3933,
3367, 2513, 1558, 709, 152, 7, 307, 985, 1895, 2838,
3609, 4040, 4037, 3602, 2828, 1884, 976, 301, 6, 156,
718, 1569, 2524, 3376, 3938, 4089, 3795, 3120, 2212, 1268,
494, 58, 55, 486, 1258, 2201, 3111, 3789, 4088, 3943,
3384, 2535, 1579, 726, 160, 5, 296, 968, 1875, 2820,
3597, 4036, 4041, 3613, 2843, 1900, 989, 309, 7, 151,
707, 1556, 2512, 3366, 3934, 4090, 3801, 3130, 2223, 1277,
500, 60, 53, 481, 1251, 2194, 3105, 3786, 4088, 3945,
3388, 2539, 1583, 728, 161, 5, 295, 966, 1874, 2819,
3596, 4036, 4041, 3612, 2842, 1898, 987, 307, 7, 152,
710, 1560, 2517, 3371, 3936, 4089, 3797, 3123, 2215, 1270,
494, 58, 55, 488, 1260, 2205, 3115, 3792, 4089, 3940,
3378, 2526, 1569, 717, 155, 6, 303, 980, 1891, 2835,
3608, 4040, 4037, 3600, 2824, 1878, 970, 296, 5, 160,
727, 1582, 2539, 3388, 3945, 4087, 3784, 3102, 2189, 1246,
477, 52, 62, 506, 1287, 2233, 3140, 3807, 4091, 3928,
3354, 2495, 1538, 693, 143, 9, 321, 1010, 1926, 2868,
3631, 4048, 4028, 3575, 2789, 1840, 937, 277, 3, 176,
758, 1622, 2579, 3420, 3960, 4083, 3761, 3064, 2145, 1205,
449, 42, 74, 537, 1330, 2280, 3180, 3831, 4093, 3908,
3316, 2446, 1490, 655, 125, 15, 350, 1056, 1978, 2916,
3664, 4059, 4013, 3538, 2737, 1785, 890, 249, 1, 200,
804, 1680, 2636, 3464, 3981, 4076, 3727, 3010, 2083, 1148,
410, 30, 92, 581, 1391, 2345, 3234, 3863, 4095, 3879,
3262, 2379, 1424, 605, 102, 25, 390, 1118, 2050, 2981,
3708, 4071, 3992, 3487, 2667, 1711, 829, 214, 0, 235,
866, 1756, 2710, 3519, 4005, 4064, 3680, 2939, 2003, 1077,
363, 18, 117, 640, 1470, 2427, 3301, 3900, 4094, 3839,
3192, 2294, 1342, 545, 77, 40, 443, 1198, 2139, 3060,
3759, 4083, 3961, 3420, 2578, 1620, 756, 174, 3, 280,
944, 1850, 2800, 3584, 4032, 4044, 3620, 2850, 1905, 991,
308, 7, 153, 714, 1568, 2526, 3380, 3942, 4088, 3787,
3105, 2190, 1245, 475, 51, 64, 512, 1296, 2246, 3152,
3816, 4092, 3920, 3337, 2471, 1513, 672, 132, 13, 340,
1041, 1963, 2904, 3657, 4057, 4016, 3543, 2742, 1789, 892,
249, 1, 201, 807, 1684, 2642, 3469, 3984, 4074, 3720,
2998, 2068, 1134, 399, 27, 98, 597, 1414, 2370, 3256,
3876, 4095, 3864, 3235, 2345, 1390, 579, 90, 31, 415,
1157, 2095, 3022, 3735, 4078, 3975, 3449, 2615, 1656, 784,
189, 2, 264, 918, 1820, 2772, 3565, 4025, 4050, 3636,
2872, 1928, 1010, 320, 9, 146, 701, 1552, 2511, 3369,
3936, 4089, 3793, 3113, 2200, 1253, 480, 52, 62, 509,
1294, 2244, 3151, 3816, 4092, 3919, 3334, 2467, 1508, 667,
129, 14, 345, 1050, 1975, 2916, 3665, 4060, 4011, 3531,
2725, 1770, 876, 239, 0, 211, 826, 1709, 2667, 3489,
3993, 4070, 3702, 2970, 2035, 1103, 379, 21, 110, 624,
1451, 2410, 3289, 3895, 4094, 3844, 3198, 2299, 1345, 545,
76, 41, 447, 1205, 2149, 3070, 3766, 4085, 3955, 3405,
2557, 1596, 735, 163, 5, 297, 974, 1887, 2836, 3611,
4042, 4034, 3589, 2804, 1853, 945, 279, 3, 177, 762,
1631, 2591, 3432, 3967, 4081, 3746, 3038, 2111, 1171, 423,
33, 87, 572, 1383, 2339, 3232, 3863, 4095, 3876, 3254,
2366, 1409, 592, 95, 29, 407, 1147, 2085, 3015, 3731,
4077, 3976, 3450, 2615, 1655, 781, 187, 2, 268, 926,
1832, 2784, 3575, 4029, 4046, 3623, 2853, 1905, 989, 306,
6, 157, 725, 1584, 2545, 3396, 3951, 4086, 3771, 3077,
2155, 1210, 450, 41, 75, 544, 1344, 2300, 3199, 3845,
4094, 3892, 3284, 2402, 1443, 616, 106, 23, 387, 1117,
2053, 2987, 3714, 4073, 3986, 3471, 2642, 1682, 803, 198,
1, 256, 906, 1807, 2762, 3559, 4023, 4051, 3636, 2872,
1925, 1005, 316, 8, 151, 712, 1568, 2529, 3385, 3945,
4087, 3778, 3088, 2168, 1221, 457, 44, 73, 538, 1336,
2292, 3193, 3842, 4094, 3895, 3288, 2407, 1446, 619, 107,
23, 386, 1117, 2052, 2987, 3714, 4073, 3985, 3469, 2639,
1678, 799, 196, 1, 259, 911, 1815, 2770, 3565, 4025,
4049, 3630, 2861, 1913, 995, 309, 7, 156, 723, 1583,
2545, 3397, 3952, 4085, 3768, 3071, 2148, 1203, 444, 39,
79, 553, 1358, 2315, 3213, 3854, 4095, 3883, 3266, 2380,
1420, 598, 98, 28, 404, 1144, 2084, 3016, 3733, 4078,
3974, 3444, 2605, 1643, 770, 180, 3, 278, 944, 1854,
2807, 3592, 4036, 4039, 3603, 2822, 1870, 957, 285, 4,
174, 759, 1629, 2591, 3433, 3969, 4080, 3741, 3027, 2097,
1155, 412, 30, 94, 591, 1410, 2370, 3259, 3880, 4095,
3857, 3219, 2321, 1363, 556, 80, 39, 442, 1201, 2147,
3071, 3769, 4085, 3951, 3395, 2540, 1577, 718, 153, 8,
314, 1004, 1925, 2873, 3639, 4052, 4021, 3553, 2752, 1795,
893, 248, 0, 207, 820, 1706, 2667, 3491, 3995, 4068,
3693, 2954, 2014, 1081, 362, 17, 122, 653, 1493, 2456,
3329, 3917, 4092, 3813, 3143, 2231, 1278, 495, 56, 59,
502, 1288, 2242, 3153, 3819, 4092, 3913, 3319, 2444, 1481,
643, 117, 19, 370, 1093, 2028, 2967, 3702, 4071, 3991,
3480, 2651, 1689, 806, 199, 1, 257, 910, 1816, 2773,
3568, 4027, 4047, 3623, 2850, 1899, 981, 299, 5, 164,
741, 1608, 2572, 3420, 3963, 4082, 3749, 3038, 2108, 1165,
417, 31, 92, 588, 1407, 2368, 3258, 3880, 4095, 3855,
3215, 2315, 1356, 551, 77, 41, 450, 1214, 2163, 3086,
3779, 4087, 3943, 3378, 2518, 1553, 698, 143, 10, 330,
1031, 1958, 2904, 3661, 4059, 4011, 3526, 2714, 1753, 858,
227, 0, 228, 860, 1756, 2716, 3528, 4012, 4058, 3659,
2901, 1954, 1027, 328, 10, 145, 702, 1559, 2524, 3383,
3946, 4086, 3774, 3079, 2154, 1205, 444, 39, 80, 559,
1368, 2328, 3226, 3862, 4095, 3873, 3245, 2351, 1389, 574,
86, 35, 430, 1185, 2132, 3060, 3763, 4084, 3953, 3398,
2543, 1578, 717, 152, 8, 318, 1012, 1937, 2886, 3649,
4056, 4016, 3538, 2729, 1768, 870, 233, 0, 222, 851,
1745, 2707, 3522, 4009, 4060, 3663, 2907, 1960, 1032, 330,
10, 144, 701, 1557, 2523, 3383, 3946, 4086, 3773, 3076,
2150, 1201, 441, 38, 82, 564, 1376, 2337, 3234, 3867,
4095, 3867, 3234, 2337, 1376, 564, 82, 38, 441, 1202,
2151, 3077, 3774, 4086, 3945, 3381, 2520, 1554, 698, 142,
11, 333, 1037, 1966, 2913, 3668, 4061, 4007, 3516, 2698,
1735, 842, 217, 0, 239, 881, 1783, 2744, 3549, 4020,
4052, 3637, 2868, 1916, 994, 306, 6, 161, 737, 1604,
2570, 3420, 3964, 4081, 3745, 3030, 2097, 1152, 407, 28,
99, 604, 1431, 2395, 3282, 3894, 4094, 3838, 3183, 2275,
1316, 520, 65, 51, 483, 1264, 2219, 3136, 3810, 4092,
3917, 3326, 2449, 1483, 643, 116, 20, 376, 1104, 2043,
2984, 3715, 4074, 3982, 3458, 2619, 1653, 775, 181, 3,
281, 954, 1870, 2826, 3608, 4042, 4031, 3578, 2783, 1824,
915, 258, 1, 200, 812, 1700, 2665, 3492, 3997, 4067,
3686, 2940, 1994, 1060, 347, 13, 133, 681, 1533, 2501,
3367, 3938, 4088, 3782, 3089, 2163, 1212, 447, 39, 80,
560, 1373, 2336, 3234, 3868, 4095, 3865, 3229, 2329, 1366,
556, 78, 41, 451, 1218, 2171, 3095, 3786, 4089, 3935,
3360, 2492, 1524, 673, 130, 15, 354, 1071, 2007, 2951,
3694, 4069, 3992, 3481, 2649, 1683, 798, 193, 2, 268,
932, 1845, 2803, 3593, 4037, 4037, 3592, 2801, 1843, 930,
267, 2, 194, 801, 1686, 2652, 3483, 3993, 4068, 3692,
2947, 2001, 1066, 350, 14, 132, 679, 1532, 2500, 3367,
3939, 4088, 3781, 3086, 2159, 1207, 443, 38, 82, 566,
1382, 2346, 3244, 3873, 4095, 3858, 3217, 2313, 1351, 544,
73, 45, 464, 1238, 2193, 3115, 3799, 4090, 3925, 3339,
2465, 1497, 652, 119, 18, 372, 1100, 2040, 2982, 3715,
4075, 3980, 3453, 2612, 1644, 766, 175, 4, 290, 969,
1890, 2846, 3624, 4048, 4025, 3558, 2754, 1791, 886, 241,
0, 218, 846, 1742, 2707, 3525, 4011, 4058, 3654, 2891,
1938, 1010, 315, 7, 157, 730, 1598, 2567, 3420, 3965,
4080, 3741, 3021, 2084, 1138, 396, 25, 106, 622, 1458,
2426, 3309, 3909, 4093, 3817, 3145, 2227, 1269, 485, 52,
65, 523, 1323, 2285, 3194, 3846, 4095, 3884, 3262, 2368,
1402, 580, 88, 35, 433, 1193, 2145, 3075, 3774, 4087,
3942, 3372, 2505, 1536, 681, 133, 14, 351, 1069, 2006,
2952, 3696, 4070, 3990, 3475, 2639, 1670, 787, 186, 2,
278, 950, 1869, 2828, 3611, 4044, 4029, 3569, 2768, 1805,
896, 246, 0, 214, 839, 1735, 2701, 3521, 4010, 4058,
3656, 2892, 1938, 1009, 314, 7, 158, 734, 1604, 2574,
3426, 3968, 4079, 3734, 3010, 2070, 1125, 387, 22, 112,
636, 1477, 2446, 3326, 3919, 4091, 3805, 3123, 2200, 1243,
467, 45, 73, 545, 1354, 2319, 3223, 3863, 4095, 3867,
3230, 2328, 1363, 551, 76, 43, 461, 1236, 2192, 3117,
3801, 4091, 3922, 3331, 2453, 1483, 640, 113, 21, 385,
1122, 2067, 3008, 3733, 4079, 3968, 3426, 2574, 1603, 733,
157, 7, 316, 1014, 1944, 2897, 3660, 4060, 4007, 3514,
2691, 1723, 829, 208, 1, 254, 910, 1823, 2786, 3582,
4034, 4039, 3596, 2805, 1843, 927, 264, 1, 199, 813,
1704, 2673, 3501, 4002, 4063, 3671, 2914, 1961, 1028, 325,
9, 151, 721, 1589, 2560, 3416, 3964, 4080, 3740, 3018,
2078, 1131, 390, 23, 111, 635, 1477, 2447, 3328, 3920,
4091, 3802, 3118, 2192, 1235, 460, 43, 77, 554, 1368,
2335, 3237, 3872, 4095, 3857, 3212, 2305, 1339, 533, 68,
49, 480, 1264, 2224, 3145, 3818, 4093, 3907, 3302, 2414,
1444, 610, 100, 28, 411, 1163, 2115, 3051, 3761, 4085,
3950, 3386, 2521, 1549, 689, 136, 13, 349, 1067, 2007,
2955, 3699, 4071, 3987, 3466, 2625, 1653, 771, 177, 4,
292, 975, 1901, 2859, 3635, 4052, 4018, 3540, 2725, 1757,
855, 222, 0, 240, 888, 1797, 2763, 3567, 4029, 4044,
3608, 2821, 1859, 940, 270, 2, 194, 805, 1696, 2666,
3497, 4001, 4064, 3672, 2914, 1960, 1026, 323, 8, 154,
727, 1597, 2570, 3424, 3968, 4079, 3731, 3003, 2060, 1114,
378, 19, 118, 653, 1502, 2474, 3350, 3932, 4089, 3785,
3088, 2157, 1201, 436, 35, 88, 584, 1410, 2380, 3275,
3893, 4094, 3833, 3169, 2252, 1289, 497, 55, 63, 519,
1320, 2286, 3198, 3850, 4095, 3877, 3247, 2345, 1376, 559,
78, 42, 459, 1235, 2194, 3120, 3804, 4091, 3917, 3320,
2435, 1463, 623, 105, 26, 403, 1152, 2103, 3042, 3756,
4084, 3952, 3389, 2523, 1550, 689, 135, 13, 352, 1073,
2015, 2964, 3706, 4073, 3982, 3454, 2608, 1635, 756, 168,
5, 304, 997, 1928, 2886, 3654, 4059, 4009, 3515, 2690,
1720, 823, 204, 1, 261, 925, 1843, 2808, 3600, 4041,
4031, 3573, 2769, 1803, 891, 241, 0, 222, 857, 1761,
2730, 3545, 4021, 4050, 3626, 2846, 1884, 960, 281, 3,
187, 792, 1681, 2653, 3488, 3998, 4065, 3676, 2919, 1964,
1028, 323, 8, 155, 730, 1604, 2577, 3431, 3972, 4077,
3723, 2989, 2042, 1096, 366, 16, 127, 672, 1528, 2503,
3374, 3945, 4086, 3765, 3056, 2118, 1164, 411, 27, 102,
617, 1456, 2429, 3316, 3915, 4092, 3805, 3120, 2192, 1232,
456, 41, 80, 565, 1386, 2357, 3258, 3884, 4094, 3841,
3181, 2265, 1299, 502, 56, 61, 517, 1319, 2286, 3199,
3852, 4095, 3874, 3239, 2334, 1364, 549, 74, 46, 471,
1254, 2217, 3141, 3818, 4093, 3904, 3295, 2402, 1429, 597,
93, 32, 429, 1192, 2150, 3084, 3783, 4089, 3931, 3347,
2468, 1493, 644, 114, 22, 389, 1133, 2084, 3027, 3748,
4083, 3956, 3396, 2531, 1555, 692, 136, 13, 353, 1076,
2020, 2971, 3711, 4075, 3978, 3443, 2591, 1616, 739, 159,
7, 319, 1022, 1959, 2915, 3675, 4065, 3997, 3487, 2650,
1676, 786, 183, 3, 287, 971, 1899, 2861, 3638, 4054,
4015, 3528, 2706, 1734, 833, 208, 1, 258, 922, 1841,
2807, 3601, 4042, 4030, 3567, 2760, 1790, 879, 234, 0,
231, 875, 1786, 2755, 3564, 4029, 4043, 3604, 2811, 1845,
925, 260, 1, 207, 831, 1732, 2704, 3528, 4014, 4054,
3638, 2860, 1898, 969, 286, 3, 185, 790, 1681, 2655,
3491, 3999, 4064, 3670, 2907, 1949, 1013, 313, 6, 164,
750, 1631, 2607, 3455, 3984, 4072, 3700, 2952, 1998, 1056,
339, 11, 146, 713, 1584, 2560, 3420, 3968, 4079, 3727,
2994, 2046, 1097, 365, 16, 129, 678, 1539, 2515, 3385,
3951, 4084, 3753, 3034, 2091, 1138, 392, 22, 114, 645,
1496, 2472, 3352, 3935, 4088, 3777, 3072, 2135, 1177, 417,
29, 100, 614, 1455, 2430, 3319, 3918, 4091, 3799, 3108,
2176, 1215, 443, 36, 88, 585, 1416, 2390, 3287, 3901,
4093, 3819, 3142, 2216, 1251, 467, 44, 77, 558, 1379,
2352, 3256, 3884, 4094, 3838, 3174, 2253, 1286, 492, 52,
67, 533, 1344, 2316, 3226, 3868, 4095, 3855, 3204, 2289,
1319, 515, 60, 58, 510, 1312, 2281, 3198, 3852, 4095,
3871, 3232, 2323, 1351, 537, 68, 51, 488, 1281, 2249,
3170, 3836, 4094, 3886, 3258, 2354, 1381, 559, 77, 44,
468, 1252, 2218, 3144, 3821, 4093, 3899, 3282, 2384, 1409,
580, 85, 38, 449, 1225, 2189, 3120, 3807, 4092, 3911,
3305, 2412, 1436, 599, 93, 33, 432, 1200, 2161, 3097,
3793, 4090, 3922, 3326, 2438, 1461, 618, 101, 28, 417,
1177, 2136, 3075, 3779, 4088, 3932, 3345, 2462, 1484, 635,
109, 25, 403, 1156, 2113, 3055, 3767, 4086, 3940, 3362,
2484, 1506, 651, 116, 21, 390, 1137, 2091, 3036, 3755,
4084, 3948, 3378, 2504, 1525, 666, 123, 19, 378, 1119,
2072, 3019, 3745, 4082, 3955, 3392, 2522, 1543, 680, 129,
16, 368, 1103, 2054, 3004, 3735, 4080, 3961, 3405, 2538,
1559, 692, 135, 14, 359, 1089, 2039, 2990, 3726, 4079,
3967, 3416, 2553, 1574, 703, 140, 13, 351, 1077, 2025,
2978, 3718, 4077, 3971, 3426, 2565, 1586, 713, 144, 11,
344, 1066, 2013, 2968, 3712, 4075, 3975, 3434, 2576, 1597,
721, 148, 10, 338, 1057, 2003, 2959, 3706, 4074, 3978,
3441, 2584, 1605, 727, 151, 9, 334, 1050, 1995, 2952,
3702, 4073, 3981, 3446, 2591, 1612, 733, 154, 9, 330,
1045, 1989, 2946, 3698, 4072, 3982, 3450, 2596, 1617, 736,
156, 8, 328, 1041, 1985, 2943, 3696, 4071, 3984, 3453,
2600, 1620, 739, 157, 8, 326, 1039, 1982, 2941, 3695,
4071, 3984, 3454, 2601, 1622, 740, 157, 8, 326, 1038,
1982, 2940, 3694, 4071, 3984, 3453, 2601, 1621, 739, 157,
8, 327, 1039, 1983, 2942, 3696, 4071, 3983, 3452, 2598,
1618, 737, 156, 8, 328, 1042, 1987, 2945, 3698, 4072,
3982, 3449, 2594, 1614, 733, 154, 9, 331, 1047, 1992,
2950, 3701, 4073, 3980, 3444, 2588, 1608, 728, 152, 10,
335, 1053, 1999, 2957, 3706, 4074, 3978, 3438, 2580, 1600,
722, 148, 10, 340, 1061, 2009, 2965, 3711, 4075, 3974,
3431, 2571, 1590, 714, 144, 11, 346, 1071, 2020, 2975,
3718, 4077, 3970, 3422, 2559, 1578, 705, 140, 13, 353,
1082, 2033, 2987, 3725, 4079, 3966, 3412, 2546, 1564, 694,
135, 14, 361, 1095, 2048, 3000, 3734, 4081, 3960, 3401,
2530, 1549, 682, 129, 17, 370, 1110, 2064, 3015, 3744,
4082, 3954, 3387, 2513, 1532, 669, 123, 19, 381, 1126,
2083, 3032, 3754, 4085, 3947, 3373, 2494, 1513, 654, 116,
22, 393, 1145, 2104, 3050, 3766, 4087, 3939, 3356, 2473,
1492, 638, 109, 25, 406, 1165, 2126, 3070, 3778, 4089,
3930, 3338, 2450, 1469, 621, 101, 29, 421, 1187, 2151,
3091, 3791, 4090, 3920, 3319, 2425, 1445, 603, 93, 33,
437, 1211, 2177, 3114, 3805, 4092, 3909, 3297, 2398, 1418,
583, 85, 39, 454, 1236, 2205, 3138, 3819, 4093, 3896,
3274, 2369, 1391, 563, 77, 45, 473, 1264, 2235, 3163,
3835, 4094, 3883, 3249, 2339, 1361, 542, 69, 51, 494,
1294, 2267, 3190, 3850, 4095, 3868, 3222, 2306, 1330, 519,
60, 59, 516, 1325, 2301, 3218, 3866, 4095, 3852, 3194,
2271, 1297, 496, 52, 68, 540, 1359, 2337, 3248, 3883,
4094, 3835, 3163, 2235, 1263, 472, 44, 78, 566, 1395,
2374, 3279, 3899, 4093, 3816, 3131, 2196, 1227, 447, 36,
89, 593, 1432, 2413, 3310, 3916, 4091, 3795, 3096, 2155,
1190, 422, 29, 101, 622, 1472, 2454, 3343, 3933, 4088,
3772, 3059, 2113, 1151, 396, 22, 115, 654, 1514, 2497,
3376, 3949, 4084, 3748, 3021, 2068, 1111, 370, 16, 131,
687, 1558, 2541, 3411, 3966, 4078, 3722, 2980, 2022, 1070,
344, 11, 148, 723, 1604, 2587, 3446, 3982, 4072, 3694,
2936, 1974, 1028, 318, 6, 166, 761, 1652, 2635, 3482,
3998, 4063, 3664, 2891, 1923, 985, 291, 3, 187, 801,
1702, 2684, 3518, 4013, 4054, 3632, 2843, 1871, 940, 265,
1, 210, 843, 1755, 2734, 3555, 4027, 4042, 3597, 2793,
1818, 895, 239, 0, 234, 888, 1809, 2785, 3591, 4041,
4029, 3560, 2741, 1762, 849, 213, 1, 261, 935, 1866,
2838, 3628, 4053, 4014, 3521, 2687, 1705, 803, 188, 3,
291, 985, 1924, 2892, 3665, 4064, 3997, 3479, 2630, 1646,
755, 163, 7, 323, 1037, 1985, 2947, 3702, 4074, 3977,
3434, 2570, 1586, 708, 140, 13, 357, 1092, 2047, 3003,
3738, 4082, 3955, 3387, 2509, 1524, 661, 118, 21, 394,
1149, 2112, 3060, 3774, 4088, 3930, 3337, 2445, 1461, 613,
97, 32, 434, 1209, 2178, 3117, 3809, 4093, 3903, 3284,
2379, 1397, 565, 77, 45, 477, 1272, 2246, 3175, 3843,
4095, 3873, 3228, 2310, 1331, 518, 59, 61, 522, 1337,
2316, 3233, 3876, 4095, 3840, 3169, 2240, 1265, 472, 44,
79, 571, 1405, 2388, 3291, 3907, 4092, 3803, 3108, 2167,
1198, 426, 30, 101, 623, 1476, 2460, 3349, 3937, 4087,
3764, 3043, 2092, 1130, 381, 18, 126, 679, 1549, 2534,
3407, 3965, 4078, 3721, 2975, 2015, 1062, 338, 9, 154,
737, 1624, 2610, 3465, 3991, 4067, 3674, 2905, 1936, 994,
295, 3, 185, 799, 1703, 2686, 3521, 4015, 4052, 3624,
2831, 1856, 925, 255, 0, 221, 865, 1783, 2763, 3577,
4036, 4034, 3570, 2754, 1774, 857, 216, 1, 260, 934,
1866, 2841, 3631, 4054, 4011, 3513, 2674, 1690, 789, 180,
4, 303, 1006, 1952, 2919, 3684, 4070, 3985, 3451, 2592,
1605, 722, 146, 12, 350, 1082, 2039, 2997, 3735, 4081,
3955, 3386, 2506, 1520, 656, 115, 23, 401, 1162, 2128,
3076, 3784, 4090, 3921, 3317, 2418, 1433, 591, 87, 39,
457, 1245, 2219, 3153, 3831, 4094, 3882, 3243, 2327, 1346,
527, 62, 58, 517, 1331, 2312, 3231, 3875, 4095, 3838,
3166, 2234, 1258, 466, 41, 83, 581, 1420, 2405, 3307,
3916, 4091, 3790, 3085, 2138, 1170, 407, 24, 112, 650,
1513, 2500, 3382, 3954, 4082, 3737, 2999, 2040, 1083, 350,
12, 147, 724, 1609, 2596, 3456, 3988, 4068, 3679, 2910,
1941, 996, 296, 3, 186, 802, 1708, 2692, 3527, 4017,
4050, 3616, 2817, 1839, 910, 245, 0, 231, 885, 1809,
2789, 3596, 4043, 4025, 3548, 2720, 1737, 825, 198, 2,
282, 972, 1913, 2885, 3663, 4064, 3996, 3474, 2620, 1633,
742, 156, 9, 337, 1064, 2019, 2981, 3726, 4080, 3960,
3395, 2517, 1529, 661, 117, 22, 399, 1160, 2128, 3076,
3786, 4090, 3919, 3311, 2410, 1424, 583, 83, 41, 467,
1260, 2237, 3170, 3841, 4095, 3871, 3222, 2300, 1319, 507,
55, 67, 540, 1365, 2349, 3262, 3893, 4093, 3817, 3128,
2188, 1214, 435, 32, 98, 619, 1473, 2461, 3352, 3939,
4086, 3757, 3029, 2073, 1111, 367, 15, 137, 704, 1585,
2574, 3439, 3981, 4071, 3690, 2925, 1956, 1008, 303, 4,
182, 795, 1700, 2686, 3524, 4016, 4050, 3616, 2817, 1838,
908, 243, 0, 234, 892, 1819, 2799, 3604, 4046, 4022,
3537, 2704, 1718, 809, 189, 3, 294, 994, 1940, 2911,
3680, 4069, 3986, 3450, 2587, 1598, 714, 141, 13, 360,
1101, 2063, 3021, 3752, 4085, 3942, 3357, 2466, 1478, 622,
99, 31, 434, 1214, 2188, 3130, 3818, 4094, 3891, 3258,
2342, 1357, 534, 64, 57, 515, 1331, 2315, 3236, 3879,
4094, 3832, 3152, 2215, 1238, 451, 36, 92, 604, 1454,
2442, 3338, 3933, 4087, 3765, 3041, 2085, 1120, 372, 16,
134, 700, 1580, 2570, 3437, 3980, 4071, 3689, 2924, 1953,
1005, 300, 4, 185, 802, 1710, 2697, 3532, 4020, 4047,
3606, 2801, 1820, 892, 234, 0, 245, 912, 1844, 2823,
3622, 4052, 4013, 3515, 2673, 1685, 782, 175, 5, 314,
1028, 1980, 2948, 3706, 4075, 3971, 3416, 2541, 1551, 677,
123, 20, 391, 1150, 2118, 3071, 3783, 4090, 3919, 3309,
2405, 1417, 576, 80, 44, 477, 1278, 2259, 3190, 3854,
4095, 3857, 3195, 2265, 1284, 481, 45, 78, 572, 1411,
2400, 3305, 3917, 4090, 3786, 3074, 2122, 1153, 393, 20,
123, 676, 1550, 2541, 3416, 3971, 4075, 3705, 2946, 1977,
1024, 311, 5, 177, 787, 1693, 2681, 3521, 4016, 4050,
3614, 2812, 1830, 900, 238, 0, 242, 907, 1839, 2820,
3620, 4052, 4014, 3515, 2672, 1683, 779, 173, 6, 317,
1034, 1989, 2957, 3712, 4077, 3966, 3406, 2527, 1536, 664,
117, 23, 403, 1169, 2140, 3090, 3796, 4092, 3908, 3288,
2377, 1389, 555, 72, 51, 499, 1310, 2294, 3220, 3871,
4095, 3838, 3162, 2224, 1245, 454, 37, 91, 605, 1457,
2447, 3344, 3937, 4086, 3757, 3027, 2068, 1103, 360, 13,
143, 720, 1609, 2600, 3462, 3992, 4065, 3665, 2886, 1909,
965, 275, 1, 207, 845, 1766, 2752, 3573, 4036, 4032,
3562, 2737, 1750, 833, 200, 2, 284, 979, 1926, 2901,
3676, 4068, 3986, 3449, 2583, 1591, 706, 136, 15, 372,
1122, 2089, 3047, 3770, 4088, 3927, 3325, 2423, 1432, 586,
83, 42, 472, 1272, 2254, 3187, 3853, 4095, 3856, 3192,
2259, 1276, 475, 43, 82, 583, 1428, 2419, 3322, 3926,
4088, 3771, 3049, 2091, 1123, 373, 15, 136, 706, 1591,
2584, 3450, 3987, 4068, 3674, 2898, 1921, 975, 281, 2,
204, 839, 1759, 2746, 3569, 4035, 4033, 3564, 2739, 1751,
833, 200, 2, 285, 982, 1930, 2906, 3680, 4069, 3984,
3442, 2573, 1580, 697, 132, 17, 380, 1135, 2105, 3061,
3779, 4090, 3920, 3309, 2402, 1411, 570, 77, 47, 488,
1296, 2281, 3210, 3867, 4095, 3841, 3165, 2226, 1245, 453,
36, 93, 609, 1464, 2457, 3353, 3942, 4085, 3748, 3011,
2047, 1084, 347, 10, 153, 742, 1639, 2631, 3486, 4003,
4059, 3641, 2848, 1867, 928, 253, 0, 230, 888, 1818,
2803, 3610, 4049, 4016, 3520, 2677, 1685, 779, 172, 6,
321, 1043, 2002, 2971, 3723, 4080, 3958, 3386, 2499, 1505,
639, 105, 29, 428, 1209, 2188, 3133, 3823, 4094, 3883,
3240, 2315, 1327, 510, 54, 69, 549, 1383, 2374, 3287,
3909, 4091, 3792, 3081, 2127, 1154, 392, 20, 126, 685,
1565, 2559, 3433, 3980, 4071, 3685, 2913, 1937, 987, 287,
2, 200, 833, 1753, 2742, 3568, 4035, 4033, 3563, 2735,
1745, 827, 196, 2, 291, 994, 1945, 2921, 3690, 4072,
3977, 3426, 2549, 1555, 677, 122, 21, 399, 1166, 2140,
3093, 3799, 4092, 3902, 3275, 2357, 1367, 537, 64, 59,
523, 1347, 2337, 3258, 3893, 4093, 3810, 3111, 2161, 1184,
411, 24, 115, 663, 1537, 2532, 3412, 3971, 4075, 3700,
2935, 1961, 1007, 298, 3, 191, 817, 1734, 2725, 3556,
4030, 4037, 3573, 2750, 1760, 838, 202, 2, 285, 985,
1935, 2912, 3685, 4071, 3979, 3430, 2555, 1560, 680, 123,
21, 398, 1164, 2140, 3093, 3800, 4092, 3901, 3272, 2354,
1363, 534, 63, 60, 528, 1355, 2345, 3265, 3898, 4093,
3804, 3100, 2148, 1171, 402, 22, 121, 675, 1554, 2550,
3426, 3977, 4072, 3688, 2916, 1938, 987, 286, 2, 202,
838, 1760, 2750, 3574, 4037, 4030, 3553, 2720, 1728, 812,
188, 4, 303, 1015, 1971, 2946, 3708, 4077, 3966, 3401,
2516, 1520, 649, 109, 27, 424, 1205, 2185, 3133, 3824,
4094, 3880, 3233, 2304, 1315, 500, 50, 74, 564, 1406,
2400, 3310, 3921, 4089, 3774, 3050, 2088, 1117, 367, 14,
143, 722, 1616, 2612, 3474, 3998, 4061, 3646, 2854, 1870,
928, 251, 0, 234, 897, 1833, 2819, 3623, 4054, 4009,
3500, 2647, 1651, 750, 156, 10, 347, 1086, 2054, 3020,
3755, 4086, 3934, 3335, 2431, 1436, 586, 82, 44, 481,
1289, 2277, 3210, 3868, 4095, 3836, 3153, 2209, 1226, 437,
31, 102, 635, 1502, 2499, 3389, 3960, 4079, 3715, 2957,
1982, 1024, 308, 4, 185, 808, 1724, 2717, 3552, 4029,
4037, 3573, 2747, 1755, 833, 198, 2, 292, 997, 1952,
2929, 3698, 4075, 3971, 3411, 2527, 1530, 655, 111, 26,
421, 1202, 2183, 3132, 3824, 4094, 3879, 3229, 2299, 1309,
495, 48, 77, 572, 1418, 2414, 3322, 3928, 4088, 3763,
3031, 2066, 1096, 352, 11, 153, 744, 1645, 2642, 3497,
4008, 4054, 3623, 2819, 1831, 894, 232, 0, 255, 935,
1879, 2864, 3654, 4063, 3994, 3462, 2594, 1596, 706, 134,
17, 382, 1142, 2118, 3077, 3791, 4091, 3906, 3279, 2360,
1366, 535, 62, 61, 532, 1363, 2357, 3277, 3905, 4092,
3793, 3079, 2120, 1144, 383, 17, 134, 705, 1596, 2594,
3462, 3994, 4063, 3653, 2862, 1877, 933, 253, 0, 234,
899, 1837, 2825, 3628, 4056, 4006, 3491, 2632, 1635, 735,
148, 12, 361, 1110, 2082, 3046, 3773, 4089, 3920, 3305,
2392, 1396, 556, 70, 54, 513, 1336, 2329, 3255, 3893,
4093, 3806, 3101, 2145, 1166, 397, 20, 126, 689, 1575,
2574, 3447, 3988, 4066, 3665, 2878, 1894, 947, 261, 0,
227, 887, 1823, 2812, 3620, 4053, 4009, 3498, 2642, 1644,
742, 151, 12, 356, 1104, 2076, 3041, 3770, 4089, 3921,
3308, 2395, 1398, 557, 70, 54, 513, 1337, 2330, 3256,
3894, 4093, 3804, 3097, 2140, 1161, 393, 19, 128, 695,
1583, 2582, 3454, 3991, 4065, 3658, 2868, 1882, 936, 254,
0, 234, 899, 1839, 2828, 3631, 4057, 4004, 3485, 2623,
1625, 727, 143, 14, 369, 1124, 2099, 3062, 3783, 4091,
3911, 3287, 2368, 1373, 538, 63, 61, 533, 1366, 2361,
3282, 3908, 4091, 3787, 3068, 2106, 1130, 372, 15, 141,
723, 1620, 2619, 3482, 4003, 4057, 3633, 2830, 1840, 900,
234, 0, 255, 937, 1884, 2870, 3660, 4065, 3989, 3450,
2577, 1577, 689, 125, 20, 399, 1171, 2152, 3108, 3811,
4093, 3888, 3243, 2313, 1319, 500, 49, 76, 573, 1422,
2420, 3330, 3933, 4086, 3753, 3013, 2042, 1073, 336, 8,
167, 774, 1686, 2684, 3530, 4022, 4043, 3587, 2764, 1770,
842, 202, 2, 291, 1000, 1958, 2938, 3705, 4077, 3964,
3393, 2501, 1500, 631, 99, 33, 448, 1245, 2234, 3178,
3852, 4095, 3849, 3173, 2227, 1239, 444, 32, 102, 636,
1507, 2508, 3399, 3966, 4076, 3700, 2930, 1949, 991, 286,
2, 206, 851, 1781, 2776, 3596, 4046, 4018, 3520, 2669,
1670, 761, 160, 9, 346, 1090, 2062, 3031, 3765, 4088,
3924, 3310, 2395, 1397, 554, 69, 56, 520, 1349, 2345,
3270, 3902, 4092, 3792, 3075, 2113, 1134, 375, 15, 141,
724, 1623, 2623, 3486, 4005, 4056, 3626, 2819, 1827, 888,
226, 0, 264, 955, 1907, 2892, 3676, 4070, 3980, 3427,
2545, 1543, 662, 113, 26, 423, 1209, 2196, 3147, 3835,
4095, 3865, 3200, 2260, 1268, 463, 38, 93, 616, 1482,
2483, 3380, 3958, 4079, 3713, 2948, 1968, 1007, 295, 2,
200, 839, 1768, 2764, 3588, 4044, 4021, 3526, 2676, 1676,
765, 161, 9, 345, 1089, 2062, 3032, 3766, 4088, 3922,
3306, 2389, 1390, 549, 66, 58, 527, 1360, 2358, 3281,
3909, 4091, 3783, 3060, 2094, 1116, 362, 12, 150, 742,
1647, 2648, 3505, 4013, 4050, 3606, 2790, 1795, 861, 211,
1, 282, 986, 1945, 2928, 3700, 4076, 3965, 3395, 2502,
1500, 629, 98, 35, 454, 1255, 2247, 3190, 3860, 4095,
3839, 3153, 2202, 1214, 426, 27, 112, 662, 1543, 2546,
3429, 3981, 4069, 3672, 2885, 1898, 946, 259, 0, 233,
901, 1844, 2836, 3639, 4060, 3998, 3468, 2597, 1594, 701,
130, 19, 395, 1168, 2152, 3110, 3814, 4094, 3882, 3230,
2295, 1300, 484, 44, 84, 596, 1457, 2459, 3362, 3950,
4081, 3724, 2965, 1985, 1020, 302, 3, 195, 832, 1760,
2758, 3585, 4043, 4021, 3526, 2676, 1674, 763, 159, 10,
349, 1097, 2073, 3043, 3773, 4090, 3915, 3292, 2370, 1371,
534, 60, 64, 545, 1386, 2387, 3305, 3922, 4088, 3764,
3028, 2056, 1082, 340, 8, 167, 777, 1693, 2694, 3540,
4027, 4038, 3571, 2738, 1739, 814, 185, 5, 315, 1042,
2010, 2988, 3739, 4084, 3939, 3340, 2429, 1427, 574, 75,
51, 506, 1332, 2330, 3260, 3899, 4092, 3794, 3075, 2110,
1129, 370, 14, 146, 737, 1642, 2645, 3504, 4013, 4049,
3604, 2784, 1787, 853, 206, 2, 290, 1001, 1964, 2947,
3713, 4079, 3956, 3374, 2472, 1469, 604, 87, 42, 479,
1294, 2290, 3228, 3881, 4094, 3814, 3109, 2148, 1163, 391,
18, 133, 709, 1607, 2611, 3480, 4003, 4056, 3625, 2815,
1819, 879, 220, 1, 275, 975, 1934, 2920, 3696, 4075,
3966, 3395, 2499, 1495, 623, 95, 37, 463, 1271, 2266,
3208, 3871, 4094, 3825, 3127, 2170, 1183, 404, 21, 126,
694, 1589, 2593, 3467, 3998, 4059, 3636, 2830, 1835, 892,
227, 0, 267, 963, 1921, 2908, 3689, 4074, 3970, 3403,
2510, 1505, 631, 98, 35, 457, 1263, 2258, 3202, 3868,
4095, 3828, 3132, 2175, 1187, 406, 21, 125, 692, 1586,
2591, 3465, 3997, 4060, 3636, 2830, 1835, 891, 226, 0,
268, 965, 1923, 2911, 3691, 4074, 3969, 3400, 2505, 1499,
626, 96, 36, 462, 1270, 2266, 3209, 3872, 4094, 3823,
3123, 2164, 1177, 399, 20, 129, 702, 1599, 2604, 3476,
4002, 4057, 3627, 2815, 1819, 877, 218, 1, 277, 981,
1942, 2929, 3703, 4077, 3961, 3384, 2483, 1478, 610, 89,
41, 477, 1293, 2291, 3230, 3883, 4094, 3810, 3101, 2137,
1152, 383, 16, 140, 724, 1628, 2634, 3497, 4011, 4050,
3606, 2785, 1786, 850, 203, 2, 295, 1011, 1978, 2961,
3724, 4081, 3948, 3355, 2446, 1441, 582, 78, 49, 503,
1331, 2331, 3263, 3901, 4092, 3788, 3063, 2093, 1112, 357,
11, 157, 759, 1674, 2678, 3530, 4024, 4040, 3574, 2739,
1737, 810, 182, 5, 322, 1056, 2030, 3008, 3754, 4087,
3927, 3313, 2393, 1389, 544, 63, 62, 541, 1384, 2388,
3309, 3925, 4087, 3756, 3011, 2033, 1059, 324, 5, 181,
808, 1735, 2738, 3573, 4040, 4024, 3530, 2678, 1673, 758,
156, 11, 359, 1116, 2098, 3068, 3791, 4092, 3898, 3257,
2323, 1322, 497, 47, 81, 592, 1454, 2461, 3367, 3954,
4079, 3713, 2944, 1957, 992, 283, 1, 215, 872, 1813,
2812, 3625, 4057, 4002, 3473, 2600, 1592, 695, 126, 21,
408, 1191, 2182, 3140, 3834, 4095, 3860, 3186, 2236, 1241,
441, 30, 108, 656, 1541, 2548, 3435, 3985, 4066, 3658,
2860, 1865, 914, 238, 0, 259, 951, 1908, 2900, 3685,
4073, 3970, 3402, 2505, 1497, 623, 94, 38, 470, 1284,
2283, 3225, 3881, 4094, 3810, 3099, 2133, 1146, 378, 15,
144, 735, 1644, 2651, 3511, 4017, 4045, 3589, 2759, 1756,
824, 189, 4, 315, 1046, 2020, 3000, 3750, 4086, 3928,
3314, 2393, 1388, 543, 62, 64, 546, 1393, 2399, 3319,
3931, 4086, 3746, 2995, 2013, 1040, 311, 4, 192, 831,
1765, 2767, 3595, 4047, 4014, 3504, 2640, 1633, 726, 140,
16, 386, 1159, 2148, 3112, 3818, 4094, 3874, 3210, 2264,
1265, 457, 34, 101, 640, 1521, 2529, 3421, 3979, 4069,
3667, 2872, 1877, 923, 243, 0, 255, 945, 1902, 2896,
3683, 4073, 3971, 3402, 2504, 1495, 621, 92, 39, 474,
1291, 2292, 3233, 3886, 4093, 3803, 3086, 2117, 1131, 368,
13, 152, 752, 1666, 2674, 3529, 4024, 4039, 3570, 2731,
1726, 799, 175, 7, 334, 1078, 2057, 3034, 3772, 4090,
3911, 3280, 2349, 1345, 511, 51, 76, 581, 1442, 2450,
3360, 3952, 4080, 3714, 2943, 1954, 988, 279, 1, 220,
884, 1830, 2830, 3639, 4061, 3994, 3453, 2570, 1560, 669,
113, 28, 433, 1232, 2229, 3181, 3858, 4095, 3833, 3137,
2176, 1184, 401, 20, 131, 709, 1613, 2622, 3492, 4010,
4050, 3604, 2778, 1775, 838, 195, 3, 309, 1038, 2012,
2995, 3748, 4086, 3929, 3313, 2390, 1383, 538, 60, 66,
555, 1407, 2415, 3333, 3939, 4084, 3733, 2972, 1986, 1015,
295, 2, 207, 860, 1803, 2805, 3622, 4056, 4001, 3470,
2593, 1582, 685, 120, 24, 421, 1214, 2210, 3167, 3850,
4095, 3841, 3150, 2190, 1196, 409, 21, 127, 701, 1603,
2613, 3486, 4008, 4052, 3608, 2784, 1780, 841, 197, 3,
308, 1036, 2011, 2995, 3748, 4086, 3928, 3311, 2386, 1379,
534, 59, 68, 560, 1414, 2423, 3340, 3942, 4083, 3726,
2961, 1973, 1003, 288, 1, 214, 874, 1820, 2821, 3634,
4060, 3995, 3455, 2572, 1561, 668, 112, 28, 437, 1238,
2237, 3189, 3864, 4095, 3826, 3124, 2159, 1167, 390, 17,
139, 727, 1637, 2648, 3511, 4018, 4044, 3583, 2747, 1740,
809, 179, 6, 331, 1075, 2056, 3035, 3773, 4090, 3909,
3273, 2338, 1332, 501, 47, 82, 596, 1465, 2476, 3382,
3963, 4076, 3693, 2909, 1915, 953, 258, 0, 242, 925,
1882, 2879, 3674, 4071, 3974, 3407, 2507, 1496, 619, 91,
41, 481, 1304, 2308, 3249, 3896, 4092, 3788, 3060, 2084,
1099, 346, 8, 169, 789, 1716, 2724, 3567, 4039, 4024,
3526, 2667, 1656, 741, 146, 15, 380, 1154, 2145, 3113,
3820, 4094, 3868, 3197, 2245, 1245, 440, 29, 111, 666,
1559, 2572, 3456, 3996, 4059, 3631, 2816, 1812, 867, 210,
2, 294, 1015, 1989, 2977, 3737, 4085, 3934, 3322, 2398,
1389, 540, 61, 67, 557, 1412, 2423, 3342, 3944, 4082,
3723, 2954, 1963, 993, 281, 1, 222, 889, 1840, 2842,
3649, 4064, 3987, 3434, 2542, 1530, 644, 101, 35, 461,
1276, 2279, 3226, 3884, 4093, 3801, 3080, 2107, 1118, 357,
10, 162, 775, 1699, 2709, 3557, 4035, 4027, 3534, 2677,
1666, 749, 149, 14, 377, 1149, 2141, 3110, 3819, 4094,
3868, 3196, 2243, 1242, 438, 28, 113, 672, 1567, 2580,
3463, 3999, 4057, 3623, 2803, 1798, 854, 202, 3, 304,
1033, 2010, 2996, 3750, 4087, 3924, 3302, 2372, 1362, 521,
54, 75, 579, 1444, 2456, 3368, 3957, 4078, 3701, 2919,
1923, 958, 260, 0, 242, 926, 1886, 2884, 3678, 4072,
3970, 3396, 2492, 1479, 605, 85, 46, 497, 1329, 2337,
3274, 3910, 4090, 3768, 3025, 2042, 1060, 321, 5, 189,
830, 1769, 2776, 3605, 4052, 4007, 3481, 2604, 1590, 689,
120, 25, 425, 1224, 2224, 3181, 3860, 4095, 3827, 3122,
2154, 1160, 383, 15, 146, 743, 1660, 2673, 3532, 4027,
4036, 3557, 2708, 1696, 771, 159, 11, 362, 1127, 2118,
3092, 3809, 4094, 3876, 3210, 2258, 1255, 446, 30, 110,
665, 1560, 2574, 3459, 3998, 4058, 3624, 2803, 1796, 852,
201, 3, 307, 1039, 2019, 3005, 3756, 4088, 3918, 3289,
2355, 1346, 508, 49, 81, 595, 1467, 2481, 3389, 3967,
4073, 3682, 2890, 1890, 929, 243, 0, 260, 960, 1926,
2923, 3704, 4078, 3954, 3360, 2445, 1431, 569, 70, 58,
534, 1382, 2394, 3321, 3934, 4084, 3734, 2968, 1977, 1003,
285, 1, 220, 888, 1841, 2845, 3653, 4066, 3983, 3424,
2526, 1511, 628, 94, 40, 480, 1305, 2313, 3256, 3901,
4091, 3778, 3039, 2057, 1072, 327, 5, 186, 824, 1764,
2773, 3604, 4052, 4007, 3480, 2600, 1585, 683, 117, 26,
433, 1236, 2239, 3195, 3869, 4094, 3816, 3103, 2129, 1136,
367, 12, 157, 768, 1694, 2706, 3557, 4036, 4026, 3528,
2667, 1652, 735, 141, 17, 392, 1174, 2172, 3139, 3837,
4095, 3848, 3159, 2195, 1195, 405, 20, 133, 718, 1631,
2646, 3513, 4020, 4041, 3571, 2726, 1714, 783, 165, 10,
357, 1120, 2112, 3088, 3808, 4094, 3876, 3208, 2254, 1249,
441, 28, 114, 675, 1575, 2591, 3473, 4004, 4053, 3608,
2778, 1768, 827, 187, 5, 327, 1073, 2059, 3042, 3780,
4091, 3899, 3250, 2305, 1296, 473, 37, 98, 639, 1527,
2543, 3438, 3989, 4062, 3639, 2822, 1815, 866, 207, 2,
302, 1032, 2012, 3001, 3755, 4088, 3918, 3286, 2349, 1337,
501, 46, 85, 608, 1485, 2502, 3406, 3976, 4069, 3664,
2860, 1856, 899, 225, 1, 282, 998, 1973, 2967, 3734,
4085, 3933, 3316, 2386, 1372, 526, 54, 75, 582, 1451,
2467, 3380, 3964, 4074, 3685, 2891, 1890, 927, 240, 0,
265, 970, 1941, 2938, 3716, 4081, 3945, 3340, 2416, 1401,
546, 61, 67, 562, 1424, 2439, 3358, 3954, 4078, 3701,
2916, 1916, 949, 253, 0, 253, 949, 1916, 2916, 3701,
4078, 3953, 3358, 2439, 1423, 561, 67, 62, 547, 1403,
2419, 3342, 3946, 4081, 3713, 2934, 1936, 965, 262, 0,
244, 934, 1898, 2900, 3691, 4076, 3959, 3370, 2454, 1438,
572, 71, 58, 537, 1390, 2405, 3331, 3941, 4082, 3721,
2945, 1948, 976, 268, 0, 239, 924, 1888, 2891, 3685,
4075, 3963, 3378, 2463, 1446, 578, 73, 56, 532, 1383,
2398, 3326, 3938, 4083, 3724, 2951, 1954, 980, 270, 0,
237, 921, 1884, 2887, 3683, 4074, 3964, 3379, 2465, 1448,
579, 73, 56, 532, 1382, 2397, 3326, 3938, 4083, 3723,
2949, 1952, 978, 269, 0, 238, 923, 1887, 2891, 3685,
4075, 3962, 3376, 2460, 1443, 575, 72, 57, 536, 1389,
2404, 3332, 3941, 4082, 3719, 2942, 1943, 971, 265, 0,
243, 932, 1898, 2900, 3692, 4076, 3958, 3367, 2449, 1431,
566, 68, 61, 545, 1402, 2418, 3343, 3947, 4080, 3710,
2928, 1928, 957, 257, 0, 251, 946, 1915, 2917, 3703,
4079, 3951, 3352, 2430, 1413, 553, 63, 66, 559, 1421,
2439, 3360, 3955, 4077, 3697, 2907, 1905, 938, 245, 0,
262, 967, 1940, 2939, 3717, 4082, 3942, 3332, 2404, 1387,
535, 57, 73, 578, 1448, 2467, 3381, 3965, 4073, 3679,
2880, 1875, 912, 231, 1, 278, 994, 1971, 2968, 3736,
4085, 3929, 3306, 2371, 1356, 512, 49, 82, 603, 1482,
2501, 3408, 3977, 4068, 3657, 2847, 1838, 881, 214, 2,
297, 1027, 2010, 3002, 3758, 4089, 3913, 3274, 2331, 1318,
485, 40, 94, 633, 1522, 2542, 3440, 3991, 4060, 3630,
2806, 1794, 845, 195, 4, 321, 1067, 2056, 3043, 3783,
4092, 3893, 3236, 2284, 1273, 454, 31, 109, 668, 1570,
2590, 3476, 4007, 4051, 3597, 2759, 1744, 804, 173, 8,
350, 1113, 2109, 3089, 3811, 4094, 3869, 3192, 2230, 1223,
420, 23, 128, 710, 1625, 2645, 3516, 4022, 4038, 3559,
2704, 1686, 758, 150, 14, 384, 1166, 2168, 3140, 3840,
4095, 3840, 3140, 2168, 1166, 383, 14, 151, 759, 1687,
2705, 3560, 4038, 4022, 3514, 2642, 1622, 708, 127, 23,
423, 1227, 2235, 3197, 3872, 4094, 3807, 3082, 2100, 1105,
344, 7, 178, 814, 1757, 2772, 3607, 4054, 4002, 3463,
2573, 1552, 654, 103, 35, 469, 1295, 2309, 3257, 3905,
4090, 3767, 3016, 2024, 1038, 303, 2, 211, 876, 1833,
2844, 3656, 4068, 3977, 3405, 2496, 1475, 596, 79, 52,
522, 1371, 2389, 3322, 3938, 4083, 3721, 2942, 1941, 966,
261, 0, 249, 946, 1918, 2921, 3707, 4080, 3946, 3340,
2411, 1392, 536, 57, 73, 581, 1455, 2476, 3390, 3970,
4071, 3668, 2861, 1851, 891, 218, 2, 295, 1024, 2009,
3004, 3760, 4089, 3910, 3266, 2319, 1304, 475, 37, 100,
649, 1546, 2569, 3461, 4001, 4054, 3607, 2771, 1755, 812,
176, 8, 347, 1111, 2108, 3090, 3812, 4094, 3866, 3184,
2219, 1211, 412, 20, 134, 725, 1646, 2667, 3533, 4029,
4031, 3538, 2673, 1652, 730, 136, 19, 408, 1206, 2214,
3180, 3864, 4094, 3814, 3094, 2112, 1114, 349, 8, 175,
810, 1753, 2770, 3607, 4054, 4001, 3460, 2567, 1544, 647,
99, 38, 478, 1310, 2326, 3272, 3913, 4088, 3754, 2994,
1998, 1014, 288, 1, 225, 904, 1869, 2878, 3680, 4074,
3962, 3373, 2452, 1430, 563, 66, 64, 557, 1423, 2444,
3366, 3960, 4075, 3684, 2885, 1876, 910, 228, 1, 284,
1009, 1992, 2989, 3752, 4088, 3915, 3275, 2329, 1312, 479,
38, 99, 647, 1544, 2568, 3461, 4001, 4053, 3604, 2766,
1748, 805, 173, 9, 354, 1123, 2122, 3104, 3821, 4095,
3857, 3167, 2197, 1190, 397, 17, 144, 747, 1675, 2696,
3555, 4037, 4022, 3513, 2638, 1615, 700, 122, 26, 435,
1247, 2260, 3219, 3886, 4093, 3788, 3048, 2058, 1066, 318,
4, 200, 859, 1814, 2829, 3647, 4066, 3980, 3410, 2500,
1476, 596, 78, 53, 527, 1382, 2403, 3335, 3945, 4080,
3707, 2919, 1912, 940, 244, 0, 268, 982, 1962, 2963,
3736, 4086, 3925, 3295, 2353, 1334, 494, 42, 93, 633,
1527, 2551, 3449, 3997, 4056, 3613, 2778, 1760, 814, 177,
8, 350, 1117, 2117, 3100, 3819, 4095, 3858, 3168, 2197,
1189, 396, 16, 146, 751, 1681, 2703, 3561, 4040, 4019,
3505, 2626, 1602, 689, 117, 28, 445, 1264, 2278, 3235,
3895, 4091, 3776, 3027, 2033, 1043, 304, 2, 213, 883,
1845, 2858, 3668, 4071, 3968, 3383, 2464, 1440, 568, 68,
63, 556, 1422, 2446, 3369, 3962, 4074, 3679, 2874, 1863,
897, 220, 1, 295, 1029, 2017, 3014, 3768, 4090, 3901,
3247, 2292, 1276, 453, 30, 113, 681, 1592, 2617, 3499,
4017, 4041, 3565, 2709, 1686, 755, 147, 16, 395, 1188,
2197, 3168, 3859, 4095, 3817, 3096, 2111, 1111, 345, 7,
181, 823, 1772, 2790, 3622, 4059, 3991, 3436, 2532, 1506,
616, 86, 48, 511, 1360, 2382, 3320, 3938, 4082, 3715,
2930, 1923, 947, 248, 0, 266, 980, 1961, 2964, 3737,
4086, 3923, 3289, 2343, 1323, 485, 39, 98, 646, 1546,
2572, 3466, 4004, 4051, 3595, 2750, 1729, 787, 163, 11,
371, 1152, 2158, 3136, 3841, 4095, 3835, 3125, 2145, 1141,
364, 10, 168, 798, 1742, 2763, 3604, 4054, 4000, 3455,
2557, 1530, 634, 93, 43, 497, 1340, 2361, 3304, 3931,
4084, 3726, 2945, 1940, 961, 255, 0, 260, 969, 1949,
2954, 3731, 4085, 3927, 3296, 2352, 1331, 490, 41, 96,
642, 1542, 2568, 3464, 4004, 4051, 3595, 2750, 1728, 786,
162, 12, 373, 1156, 2163, 3141, 3844, 4095, 3831, 3118,
2136, 1132, 358, 9, 173, 808, 1755, 2776, 3614, 4057,
3995, 3443, 2540, 1513, 620, 87, 47, 510, 1361, 2384,
3322, 3940, 4081, 3711, 2922, 1913, 938, 242, 0, 274,
994, 1980, 2982, 3749, 4088, 3913, 3269, 2317, 1297, 466,
34, 108, 670, 1580, 2607, 3493, 4015, 4042, 3567, 2709,
1684, 751, 144, 17, 401, 1200, 2212, 3183, 3867, 4094,
3805, 3074, 2084, 1084, 328, 5, 196, 853, 1812, 2830,
3651, 4067, 3976, 3398, 2480, 1453, 576, 70, 62, 554,
1423, 2449, 3374, 3965, 4072, 3670, 2859, 1843, 879, 209,
3, 312, 1058, 2054, 3048, 3790, 4093, 3880, 3205, 2239,
1224, 417, 21, 135, 732, 1661, 2687, 3552, 4037, 4021,
3507, 2626, 1598, 684, 113, 31, 457, 1284, 2303, 3259,
3908, 4089, 3755, 2990, 1987, 1000, 277, 0, 240, 936,
1912, 2922, 3712, 4082, 3938, 3318, 2377, 1353, 504, 45,
90, 630, 1527, 2556, 3456, 4001, 4053, 3599, 2754, 1730,
786, 161, 12, 376, 1163, 2172, 3150, 3850, 4095, 3823,
3103, 2117, 1113, 345, 7, 184, 831, 1786, 2806, 3635,
4064, 3983, 3413, 2499, 1471, 588, 74, 58, 544, 1410,
2437, 3366, 3961, 4074, 3674, 2864, 1848, 882, 210, 3,
311, 1059, 2056, 3051, 3792, 4093, 3877, 3199, 2230, 1215,
410, 19, 140, 743, 1676, 2702, 3563, 4042, 4016, 3493,
2605, 1576, 666, 105, 35, 474, 1310, 2333, 3283, 3921,
4086, 3735, 2958, 1951, 968, 258, 0, 260, 971, 1955,
2962, 3738, 4086, 3920, 3279, 2328, 1305, 471, 34, 107,
670, 1582, 2611, 3498, 4018, 4040, 3558, 2694, 1666, 735,
136, 20, 417, 1226, 2243, 3210, 3884, 4092, 3784, 3036,
2039, 1043, 302, 2, 219, 899, 1870, 2885, 3689, 4077,
3952, 3345, 2410, 1383, 524, 51, 83, 612, 1504, 2534,
3441, 3995, 4056, 3609, 2767, 1743, 795, 165, 11, 373,
1158, 2168, 3148, 3850, 4095, 3822, 3100, 2111, 1106, 340,
6, 189, 842, 1800, 2822, 3647, 4067, 3976, 3397, 2476,
1446, 569, 66, 65, 566, 1442, 2471, 3393, 3974, 4068,
3649, 2825, 1804, 845, 190, 6, 339, 1104, 2109, 3098,
3821, 4095, 3850, 3148, 2168, 1157, 372, 11, 166, 798,
1747, 2771, 3613, 4057, 3993, 3435, 2526, 1496, 605, 80,
53, 532, 1395, 2423, 3356, 3958, 4075, 3678, 2868, 1850,
882, 210, 3, 314, 1065, 2065, 3061, 3799, 4094, 3869,
3183, 2209, 1194, 395, 15, 151, 767, 1708, 2735, 3588,
4050, 4004, 3462, 2561, 1530, 630, 90, 46, 509, 1363,
2390, 3331, 3946, 4079, 3697, 2897, 1881, 907, 223, 1,
299, 1040, 2037, 3036, 3785, 4093, 3881, 3205, 2235, 1217,
410, 19, 142, 749, 1685, 2714, 3573, 4045, 4010, 3478,
2582, 1550, 645, 96, 42, 497, 1346, 2373, 3317, 3939,
4081, 3707, 2911, 1896, 920, 230, 1, 292, 1029, 2024,
3025, 3778, 4092, 3886, 3214, 2245, 1226, 416, 20, 139,
742, 1677, 2707, 3568, 4044, 4012, 3482, 2587, 1555, 648,
97, 41, 495, 1343, 2370, 3316, 3939, 4081, 3707, 2911,
1896, 919, 229, 1, 293, 1031, 2027, 3028, 3780, 4092,
3885, 3210, 2240, 1221, 412, 19, 141, 748, 1685, 2714,
3574, 4046, 4010, 3475, 2577, 1545, 640, 93, 43, 503,
1355, 2383, 3326, 3944, 4079, 3698, 2898, 1881, 906, 222,
2, 302, 1046, 2045, 3044, 3790, 4093, 3876, 3193, 2219,
1202, 399, 16, 149, 766, 1708, 2736, 3590, 4051, 4002,
3456, 2552, 1519, 621, 86, 49, 521, 1382, 2412, 3349,
3955, 4076, 3680, 2870, 1850, 880, 207, 3, 319, 1075,
2078, 3074, 3808, 4094, 3860, 3164, 2183, 1169, 378, 12,
164, 796, 1746, 2773, 3616, 4059, 3990, 3427, 2512, 1479,
591, 74, 59, 551, 1423, 2455, 3383, 3971, 4069, 3652,
2827, 1803, 842, 187, 6, 346, 1118, 2127, 3116, 3833,
4095, 3835, 3120, 2132, 1122, 348, 7, 185, 839, 1800,
2824, 3650, 4068, 3972, 3385, 2457, 1425, 551, 59, 74,
591, 1480, 2513, 3428, 3991, 4058, 3614, 2770, 1742, 792,
162, 12, 382, 1176, 2192, 3171, 3864, 4094, 3802, 3063,
2065, 1062, 311, 2, 215, 895, 1869, 2888, 3693, 4079,
3946, 3329, 2386, 1356, 502, 43, 95, 644, 1552, 2586,
3483, 4013, 4043, 3563, 2697, 1665, 731, 133, 23, 429,
1249, 2272, 3238, 3900, 4090, 3759, 2991, 1982, 990, 268,
0, 254, 966, 1954, 2966, 3743, 4088, 3912, 3260, 2299,
1274, 446, 27, 123, 711, 1640, 2673, 3546, 4037, 4020,
3499, 2608, 1574, 661, 101, 39, 489, 1337, 2367, 3315,
3939, 4081, 3703, 2903, 1884, 907, 221, 2, 305, 1053,
2054, 3055, 3798, 4094, 3867, 3176, 2196, 1179, 383, 13,
162, 793, 1744, 2773, 3617, 4059, 3988, 3421, 2504, 1469,
583, 70, 63, 563, 1442, 2476, 3400, 3979, 4064, 3634,
2799, 1771, 814, 172, 10, 368, 1155, 2171, 3155, 3856,
4094, 3810, 3075, 2078, 1073, 316, 3, 212, 890, 1864,
2885, 3692, 4079, 3946, 3328, 2382, 1351, 498, 41, 97,
652, 1563, 2599, 3493, 4018, 4039, 3550, 2678, 1644, 713,
124, 27, 446, 1275, 2302, 3263, 3914, 4087, 3739, 2958,
1944, 956, 248, 0, 276, 1005, 2001, 3008, 3770, 4091,
3890, 3217, 2244, 1222, 410, 18, 145, 759, 1702, 2734,
3590, 4052, 4000, 3449, 2539, 1503, 607, 79, 55, 541,
1413, 2447, 3379, 3970, 4069, 3650, 2822, 1795, 832, 181,
8, 357, 1138, 2153, 3140, 3848, 4095, 3817, 3087, 2090,
1082, 322, 3, 208, 884, 1858, 2880, 3690, 4078, 3947,
3329, 2383, 1351, 497, 41, 99, 655, 1569, 2605, 3498,
4020, 4036, 3543, 2667, 1632, 703, 119, 29, 456, 1291,
2320, 3279, 3922, 4085, 3726, 2937, 1920, 935, 236, 1,
290, 1030, 2030, 3035, 3787, 4093, 3875, 3188, 2209, 1188,
388, 13, 160, 790, 1743, 2774, 3619, 4060, 3986, 3415,
2493, 1457, 572, 66, 68, 577, 1464, 2500, 3420, 3988,
4059, 3614, 2767, 1735, 784, 157, 14, 393, 1197, 2218,
3196, 3879, 4093, 3781, 3025, 2018, 1019, 283, 0, 243,
948, 1935, 2952, 3736, 4087, 3915, 3263, 2300, 1272, 443,
26, 127, 721, 1656, 2691, 3561, 4043, 4012, 3477, 2576,
1538, 632, 88, 48, 521, 1386, 2420, 3359, 3961, 4072,
3663, 2840, 1813, 846, 187, 7, 350, 1129, 2144, 3134,
3845, 4095, 3819, 3088, 2090, 1081, 320, 3, 211, 891,
1868, 2891, 3697, 4080, 3941, 3315, 2364, 1332, 483, 36,
106, 675, 1596, 2633, 3520, 4028, 4028, 3519, 2631, 1594,
673, 106, 37, 485, 1334, 2367, 3318, 3942, 4079, 3695,
2887, 1863, 887, 209, 3, 323, 1086, 2097, 3094, 3823,
4095, 3841, 3126, 2134, 1119, 343, 6, 193, 857, 1827,
2854, 3673, 4075, 3955, 3345, 2401, 1366, 507, 43, 95,
649, 1563, 2601, 3497, 4020, 4036, 3540, 2661, 1624, 695,
115, 32, 467, 1308, 2340, 3297, 3932, 4082, 3709, 2909,
1887, 906, 219, 2, 312, 1068, 2076, 3077, 3813, 4095,
3850, 3141, 2151, 1134, 352, 7, 187, 845, 1813, 2842,
3666, 4073, 3959, 3353, 2411, 1376, 513, 45, 93, 644,
1556, 2595, 3493, 4019, 4037, 3543, 2664, 1627, 697, 116,
31, 466, 1308, 2341, 3297, 3933, 4082, 3708, 2906, 1883,
902, 217, 2, 315, 1074, 2083, 3084, 3817, 4095, 3845,
3132, 2140, 1124, 346, 6, 192, 856, 1827, 2855, 3675,
4075, 3953, 3341, 2395, 1359, 501, 41, 99, 658, 1576,
2615, 3508, 4024, 4031, 3527, 2642, 1603, 679, 107, 36,
483, 1333, 2368, 3320, 3944, 4079, 3690, 2878, 1852, 877,
203, 4, 333, 1103, 2117, 3113, 3835, 4095, 3827, 3101,
2103, 1090, 325, 3, 209, 889, 1868, 2893, 3700, 4081,
3937, 3307, 2351, 1317, 472, 33, 113, 693, 1622, 2661,
3541, 4037, 4019, 3492, 2593, 1553, 641, 91, 47, 518,
1384, 2422, 3362, 3964, 4071, 3656, 2826, 1795, 829, 178,
9, 366, 1158, 2179, 3166, 3864, 4094, 3795, 3046, 2038,
1033, 290, 1, 240, 945, 1935, 2954, 3740, 4088, 3909,
3250, 2280, 1251, 427, 21, 139, 749, 1695, 2732, 3592,
4053, 3996, 3436, 2518, 1477, 584, 69, 65, 573, 1462,
2502, 3424, 3991, 4056, 3602, 2747, 1710, 761, 144, 19,
418, 1238, 2267, 3239, 3904, 4089, 3746, 2965, 1946, 954,
244, 0, 286, 1026, 2030, 3039, 3792, 4094, 3867, 3169,
2182, 1160, 368, 9, 178, 829, 1796, 2828, 3658, 4071,
3962, 3358, 2415, 1377, 512, 44, 95, 650, 1566, 2607,
3503, 4023, 4032, 3528, 2641, 1600, 675, 105, 38, 490,
1345, 2381, 3332, 3950, 4076, 3678, 2858, 1828, 855, 191,
6, 350, 1133, 2153, 3145, 3853, 4094, 3806, 3063, 2057,
1048, 298, 1, 233, 935, 1924, 2946, 3735, 4087, 3912,
3254, 2284, 1253, 427, 21, 139, 752, 1699, 2737, 3596,
4055, 3994, 3429, 2506, 1465, 575, 65, 69, 585, 1480,
2521, 3440, 3998, 4052, 3586, 2722, 1683, 739, 133, 23,
438, 1269, 2302, 3268, 3919, 4085, 3724, 2928, 1904, 917,
223, 2, 310, 1069, 2080, 3084, 3819, 4095, 3841, 3122,
2125, 1108, 334, 4, 204, 881, 1860, 2888, 3698, 4081,
3936, 3302, 2343, 1308, 464, 30, 119, 708, 1644, 2685,
3560, 4044, 4010, 3467, 2557, 1514, 610, 78, 57, 552,
1434, 2476, 3406, 3984, 4060, 3615, 2763, 1725, 771, 148,
18, 413, 1233, 2263, 3238, 3904, 4089, 3744, 2959, 1938,
946, 239, 1, 294, 1042, 2050, 3058, 3804, 4094, 3854,
3145, 2151, 1130, 348, 6, 194, 863, 1839, 2869, 3686,
4078, 3943, 3317, 2361, 1323, 474, 33, 114, 698, 1631,
2673, 3552, 4041, 4013, 3474, 2566, 1523, 616, 80, 56,
548, 1429, 2471, 3403, 3983, 4061, 3616, 2764, 1726, 771,
148, 18, 415, 1235, 2267, 3242, 3906, 4088, 3740, 2953,
1930, 938, 234, 1, 299, 1051, 2062, 3069, 3811, 4095,
3847, 3132, 2135, 1115, 338, 5, 202, 879, 1859, 2888,
3699, 4081, 3935, 3298, 2337, 1300, 458, 28, 123, 719,
1659, 2700, 3572, 4048, 4004, 3451, 2534, 1490, 592, 71,
64, 573, 1464, 2508, 3431, 3995, 4053, 3590, 2725, 1685,
738, 132, 24, 442, 1277, 2312, 3279, 3925, 4084, 3712,
2909, 1881, 896, 211, 3, 327, 1098, 2116, 3116, 3838,
4095, 3819, 3082, 2077, 1063, 306, 1, 229, 930, 1921,
2945, 3736, 4088, 3908, 3245, 2271, 1238, 416, 18, 148,
773, 1729, 2768, 3619, 4062, 3981, 3396, 2461, 1418, 539,
52, 85, 628, 1541, 2585, 3490, 4019, 4035, 3534, 2646,
1603, 675, 104, 39, 497, 1359, 2399, 3349, 3959, 4072,
3658, 2825, 1789, 821, 172, 11, 380, 1184, 2212, 3198,
3884, 4092, 3767, 2995, 1976, 976, 255, 0, 279, 1018,
2025, 3039, 3794, 4094, 3861, 3156, 2162, 1139, 352, 6,
193, 862, 1840, 2873, 3690, 4079, 3939, 3307, 2346, 1307,
462, 29, 122, 717, 1659, 2701, 3574, 4049, 4002, 3446,
2526, 1481, 583, 68, 68, 584, 1482, 2527, 3447, 4002,
4048, 3573, 2700, 1657, 715, 121, 30, 464, 1311, 2350,
3310, 3941, 4079, 3687, 2867, 1834, 857, 190, 7, 356,
1147, 2172, 3165, 3866, 4093, 3787, 3027, 2012, 1006, 271,
0, 263, 991, 1995, 3012, 3778, 4093, 3874, 3178, 2188,
1161, 365, 8, 183, 845, 1820, 2854, 3679, 4077, 3946,
3320, 2361, 1321, 471, 31, 118, 708, 1648, 2692, 3568,
4047, 4004, 3451, 2531, 1485, 586, 69, 67, 583, 1481,
2527, 3447, 4003, 4048, 3570, 2696, 1652, 711, 119, 31,
469, 1319, 2360, 3318, 3946, 4077, 3679, 2854, 1819, 844,
183, 8, 367, 1164, 2192, 3182, 3876, 4092, 3775, 3006,
1987, 984, 258, 0, 277, 1016, 2025, 3039, 3795, 4094,
3858, 3150, 2153, 1129, 345, 5, 199, 876, 1859, 2892,
3703, 4082, 3929, 3285, 2317, 1279, 441, 24, 135, 746,
1697, 2740, 3602, 4057, 3988, 3411, 2478, 1432, 547, 55,
83, 625, 1538, 2585, 3492, 4020, 4033, 3527, 2634, 1588,
662, 98, 44, 514, 1385, 2429, 3374, 3971, 4066, 3633,
2785, 1745, 783, 152, 17, 413, 1236, 2272, 3249, 3911,
4087, 3728, 2931, 1902, 911, 218, 3, 323, 1094, 2115,
3118, 3841, 4095, 3813, 3069, 2058, 1044, 293, 1, 244,
959, 1959, 2983, 3761, 4091, 3886, 3200, 2213, 1182, 377,
10, 176, 832, 1806, 2843, 3672, 4076, 3949, 3324, 2365,
1323, 470, 31, 119, 713, 1655, 2701, 3575, 4050, 4000,
3439, 2514, 1466, 571, 63, 74, 602, 1509, 2556, 3471,
4013, 4040, 3545, 2658, 1611, 679, 105, 39, 500, 1366,
2411, 3360, 3966, 4069, 3642, 2798, 1757, 792, 156, 16,
408, 1229, 2265, 3244, 3909, 4087, 3730, 2932, 1903, 911,
217, 3, 324, 1098, 2120, 3123, 3844, 4095, 3809, 3061,
2047, 1034, 286, 0, 251, 972, 1976, 2998, 3771, 4092,
3877, 3183, 2191, 1161, 364, 8, 187, 854, 1834, 2870,
3690, 4080, 3937, 3298, 2331, 1290, 448, 25, 132, 742,
1694, 2739, 3602, 4058, 3986, 3406, 2469, 1422, 539, 51,
88, 638, 1558, 2607, 3508, 4027, 4026, 3506, 2604, 1555,
636, 87, 52, 541, 1426, 2473, 3409, 3988, 4057, 3599,
2734, 1689, 738, 130, 26, 452, 1298, 2339, 3305, 3940,
4079, 3684, 2860, 1822, 844, 182, 9, 372, 1174, 2206,
3196, 3885, 4091, 3761, 2980, 1955, 954, 240, 1, 299,
1056, 2074, 3084, 3823, 4095, 3829, 3096, 2087, 1068, 306,
1, 234, 944, 1943, 2970, 3754, 4090, 3890, 3205, 2217,
1184, 377, 10, 178, 837, 1814, 2853, 3680, 4078, 3942,
3309, 2344, 1302, 455, 27, 129, 736, 1688, 2734, 3600,
4057, 3987, 3407, 2469, 1421, 537, 51, 89, 642, 1565,
2614, 3515, 4030, 4023, 3498, 2591, 1541, 624, 82, 56,
554, 1445, 2494, 3425, 3995, 4052, 3582, 2709, 1662, 716,
120, 31, 473, 1328, 2373, 3332, 3954, 4074, 3660, 2823,
1782, 810, 164, 14, 398, 1216, 2253, 3236, 3906, 4087,
3732, 2933, 1901, 908, 215, 3, 330, 1109, 2134, 3137,
3853, 4094, 3796, 3039, 2020, 1008, 270, 0, 269, 1006,
2017, 3036, 3795, 4094, 3855, 3139, 2137, 1110, 331, 3,
214, 907, 1901, 2933, 3732, 4087, 3906, 3235, 2252, 1214,
396, 13, 166, 814, 1787, 2828, 3664, 4075, 3951, 3326,
2364, 1319, 466, 29, 124, 726, 1675, 2723, 3593, 4056,
3989, 3412, 2474, 1425, 539, 51, 89, 643, 1567, 2617,
3518, 4031, 4022, 3492, 2582, 1531, 616, 78, 60, 565,
1461, 2511, 3440, 4001, 4048, 3567, 2686, 1636, 695, 111,
36, 492, 1358, 2406, 3359, 3966, 4068, 3637, 2787, 1742,
777, 148, 19, 425, 1259, 2301, 3276, 3927, 4082, 3701,
2884, 1846, 862, 190, 8, 363, 1164, 2197, 3191, 3883,
4091, 3760, 2978, 1950, 948, 235, 1, 307, 1072, 2094,
3104, 3835, 4095, 3814, 3068, 2052, 1035, 285, 0, 256,
984, 1993, 3016, 3784, 4093, 3863, 3154, 2152, 1123, 338,
4, 209, 900, 1893, 2927, 3729, 4087, 3907, 3236, 2251,
1212, 394, 13, 168, 820, 1796, 2838, 3671, 4076, 3946,
3314, 2347, 1302, 453, 26, 132, 744, 1700, 2748, 3611,
4061, 3979, 3387, 2442, 1392, 515, 43, 100, 672, 1607,
2659, 3549, 4042, 4009, 3457, 2533, 1481, 579, 64, 74,
605, 1517, 2569, 3484, 4019, 4033, 3523, 2622, 1570, 644,
89, 51, 541, 1429, 2480, 3417, 3992, 4053, 3584, 2709,
1659, 711, 117, 33, 482, 1344, 2392, 3350, 3963, 4069,
3642, 2793, 1746, 780, 148, 19, 426, 1262, 2305, 3280,
3930, 4081, 3695, 2873, 1833, 849, 183, 9, 375, 1182,
2219, 3210, 3894, 4089, 3745, 2951, 1918, 920, 220, 3,
327, 1106, 2134, 3140, 3856, 4094, 3790, 3026, 2002, 991,
259, 0, 283, 1033, 2051, 3069, 3816, 4095, 3832, 3098,
2085, 1062, 300, 1, 243, 963, 1970, 2997, 3773, 4093,
3871, 3166, 2165, 1134, 344, 5, 206, 896, 1890, 2926,
3729, 4087, 3905, 3232, 2244, 1205, 389, 11, 173, 832,
1812, 2854, 3683, 4079, 3937, 3294, 2321, 1276, 435, 21,
144, 771, 1736, 2784, 3636, 4068, 3965, 3354, 2396, 1347,
483, 33, 117, 713, 1662, 2713, 3588, 4055, 3990, 3410,
2469, 1417, 531, 48, 94, 658, 1590, 2643, 3539, 4039,
4012, 3463, 2540, 1486, 581, 65, 74, 606, 1520, 2574,
3489, 4021, 4030, 3514, 2609, 1555, 631, 83, 56, 557,
1453, 2506, 3438, 4002, 4047, 3562, 2675, 1622, 682, 104,
41, 511, 1388, 2440, 3388, 3980, 4060, 3606, 2739, 1688,
733, 126, 29, 467, 1325, 2374, 3337, 3957, 4071, 3649,
2801, 1754, 784, 150, 19, 426, 1264, 2309, 3285, 3933,
4080, 3688, 2861, 1817, 835, 175, 11, 388, 1205, 2246,
3234, 3907, 4087, 3725, 2918, 1880, 886, 201, 6, 353,
1149, 2185, 3183, 3881, 4091, 3759, 2973, 1941, 937, 228,
2, 319, 1095, 2124, 3133, 3853, 4094, 3791, 3026, 2000,
987, 256, 0, 288, 1044, 2066, 3083, 3825, 4095, 3821,
3076, 2058, 1037, 284, 0, 260, 994, 2009, 3033, 3796,
4094, 3849, 3124, 2114, 1086, 313, 2, 233, 947, 1953,
2985, 3767, 4092, 3874, 3171, 2169, 1134, 343, 4, 209,
902, 1900, 2937, 3737, 4089, 3898, 3215, 2221, 1182, 373,
9, 186, 859, 1848, 2890, 3707, 4084, 3919, 3256, 2272,
1229, 403, 14, 166, 818, 1798, 2843, 3678, 4078, 3939,
3296, 2322, 1274, 432, 20, 147, 780, 1749, 2798, 3648,
4071, 3957, 3334, 2369, 1319, 462, 27, 130, 743, 1703,
2754, 3618, 4064, 3973, 3370, 2415, 1362, 492, 35, 114,
708, 1658, 2711, 3589, 4055, 3988, 3404, 2459, 1404, 521,
44, 100, 675, 1615, 2670, 3559, 4046, 4001, 3436, 2501,
1445, 550, 53, 87, 644, 1573, 2630, 3531, 4037, 4013,
3466, 2542, 1485, 578, 63, 76, 614, 1534, 2591, 3503,
4027, 4024, 3495, 2580, 1523, 606, 73, 66, 586, 1496,
2553, 3475, 4017, 4034, 3522, 2617, 1560, 634, 83, 57,
560, 1460, 2517, 3448, 4006, 4043, 3547, 2652, 1596, 660,
94, 48, 536, 1426, 2482, 3422, 3996, 4050, 3571, 2685,
1630, 686, 105, 41, 513, 1394, 2449, 3397, 3985, 4057,
3593, 2717, 1663, 711, 115, 35, 491, 1363, 2417, 3372,
3974, 4063, 3614, 2747, 1694, 735, 126, 30, 471, 1334,
2386, 3349, 3964, 4068, 3633, 2775, 1723, 758, 136, 25,
453, 1306, 2358, 3326, 3954, 4072, 3651, 2802, 1751, 780,
147, 21, 436, 1281, 2330, 3305, 3943, 4076, 3668, 2827,
1778, 801, 157, 17, 420, 1257, 2305, 3284, 3934, 4080,
3683, 2850, 1803, 821, 166, 14, 405, 1234, 2281, 3265,
3924, 4082, 3697, 2872, 1826, 839, 175, 11, 391, 1213,
2258, 3247, 3915, 4085, 3710, 2892, 1848, 857, 184, 9,
379, 1194, 2237, 3230, 3907, 4087, 3722, 2910, 1868, 873,
193, 7, 367, 1176, 2218, 3214, 3898, 4088, 3733, 2927,
1886, 888, 200, 6, 357, 1160, 2200, 3199, 3891, 4090,
3743, 2942, 1903, 902, 208, 5, 348, 1146, 2184, 3186,
3884, 4091, 3751, 2956, 1918, 915, 214, 4, 340, 1132,
2170, 3174, 3878, 4092, 3759, 2969, 1932, 926, 220, 3,
333, 1121, 2157, 3164, 3872, 4092, 3766, 2979, 1944, 936,
226, 2, 326, 1111, 2146, 3154, 3867, 4093, 3771, 2989,
1954, 945, 230, 2, 321, 1102, 2136, 3146, 3863, 4093,
3776, 2997, 1963, 952, 234, 2, 317, 1095, 2128, 3140,
3859, 4093, 3780, 3003, 1970, 958, 237, 1, 313, 1089,
2122, 3135, 3856, 4094, 3783, 3008, 1976, 963, 240, 1,
310, 1085, 2117, 3131, 3854, 4094, 3786, 3012, 1980, 966,
242, 1, 309, 1082, 2114, 3128, 3853, 4094, 3787, 3014,
1982, 968, 243, 1, 308, 1081, 2113, 3127, 3852, 4094,
3787, 3014, 1983, 968, 243, 1, 308, 1081, 2113, 3127,
3853, 4094, 3787, 3014, 1982, 967, 242, 1, 309, 1082,
2115, 3129, 3853, 4094, 3786, 3012, 1979, 965, 241, 1,
310, 1085, 2118, 3132, 3855, 4094, 3784, 3008, 1975, 961,
239, 1, 313, 1090, 2123, 3136, 3858, 4094, 3781, 3003,
1969, 956, 236, 2, 316, 1095, 2130, 3142, 3861, 4093,
3777, 2996, 1961, 949, 232, 2, 321, 1103, 2138, 3149,
3865, 4093, 3772, 2988, 1952, 942, 228, 2, 326, 1111,
2148, 3158, 3870, 4092, 3766, 2979, 1941, 932, 223, 3,
332, 1122, 2160, 3168, 3875, 4092, 3760, 2968, 1929, 922,
217, 4, 339, 1133, 2173, 3179, 3881, 4091, 3752, 2955,
1915, 910, 211, 5, 347, 1146, 2188, 3191, 3888, 4090,
3743, 2941, 1899, 897, 204, 6, 356, 1161, 2204, 3205,
3895, 4089, 3734, 2926, 1882, 883, 196, 7, 366, 1177,
2222, 3220, 3903, 4087, 3723, 2909, 1863, 867, 188, 9,
378, 1195, 2242, 3236, 3911, 4085, 3711, 2890, 1843, 850,
179, 11, 390, 1215, 2263, 3254, 3920, 4083, 3699, 2870,
1821, 832, 170, 13, 403, 1236, 2286, 3272, 3929, 4080,
3685, 2848, 1797, 813, 161, 16, 418, 1258, 2311, 3292,
3939, 4077, 3669, 2825, 1772, 792, 151, 20, 434, 1282,
2337, 3313, 3949, 4074, 3653, 2800, 1745, 771, 141, 24,
451, 1308, 2364, 3335, 3959, 4069, 3635, 2773, 1716, 749,
130, 28, 469, 1336, 2393, 3358, 3970, 4064, 3616, 2745,
1687, 725, 120, 33, 489, 1365, 2424, 3382, 3980, 4059,
3595, 2715, 1655, 701, 109, 40, 511, 1396, 2456, 3407,
3991, 4052, 3573, 2683, 1622, 676, 99, 46, 533, 1428,
2490, 3432, 4002, 4045, 3550, 2650, 1588, 650, 88, 54,
558, 1463, 2525, 3459, 4012, 4036, 3525, 2615, 1552, 623,
78, 63, 584, 1499, 2562, 3486, 4023, 4027, 3498, 2578,
1515, 595, 67, 73, 611, 1536, 2599, 3514, 4033, 4016,
3469, 2539, 1476, 567, 57, 84, 640, 1576, 2639, 3542,
4042, 4005, 3439, 2498, 1436, 539, 48, 97, 671, 1617,
2679, 3571, 4052, 3992, 3407, 2456, 1395, 509, 39, 110,
704, 1661, 2721, 3600, 4060, 3977, 3374, 2412, 1352, 480,
31, 126, 739, 1706, 2764, 3630, 4068, 3961, 3338, 2366,
1309, 450, 23, 142, 776, 1752, 2809, 3660, 4075, 3944,
3300, 2319, 1264, 420, 16, 161, 814, 1801, 2854, 3689,
4082, 3924, 3261, 2269, 1218, 391, 11, 181, 855, 1851,
2900, 3719, 4087, 3903, 3219, 2218, 1171, 361, 6, 203,
898, 1903, 2948, 3749, 4091, 3881, 3175, 2165, 1123, 331,
3, 227, 943, 1957, 2996, 3779, 4094, 3856, 3129, 2110,
1075, 302, 1, 253, 990, 2012, 3045, 3808, 4095, 3829,
3081, 2054, 1025, 273, 0, 281, 1039, 2070, 3094, 3836,
4095, 3800, 3031, 1996, 976, 245, 1, 311, 1090, 2128,
3145, 3864, 4093, 3768, 2978, 1937, 925, 217, 4, 343,
1144, 2189, 3195, 3891, 4089, 3734, 2924, 1876, 874, 190,
9, 378, 1200, 2250, 3246, 3918, 4083, 3698, 2867, 1813,
823, 165, 15, 416, 1258, 2314, 3297, 3943, 4075, 3659,
2807, 1749, 772, 140, 24, 456, 1318, 2378, 3348, 3967,
4065, 3618, 2746, 1684, 721, 117, 36, 499, 1381, 2444,
3399, 3989, 4053, 3574, 2682, 1618, 670, 95, 49, 544,
1446, 2511, 3450, 4010, 4038, 3527, 2616, 1550, 620, 76,
66, 593, 1513, 2579, 3501, 4029, 4020, 3477, 2547, 1482,
569, 58, 85, 644, 1583, 2648, 3550, 4046, 4000, 3425,
2477, 1412, 520, 42, 107, 698, 1655, 2718, 3599, 4060,
3976, 3369, 2404, 1342, 472, 28, 132, 755, 1728, 2788,
3647, 4073, 3949, 3310, 2329, 1271, 424, 17, 160, 815,
1804, 2859, 3694, 4083, 3919, 3249, 2252, 1200, 378, 8,
192, 878, 1882, 2930, 3740, 4090, 3886, 3184, 2174, 1129,
333, 3, 227, 945, 1962, 3002, 3783, 4094, 3849, 3116,
2093, 1057, 290, 0, 265, 1014, 2043, 3073, 3825, 4095,
3809, 3045, 2011, 986, 250, 1, 307, 1086, 2126, 3144,
3865, 4093, 3765, 2971, 1927, 915, 211, 5, 353, 1162,
2211, 3215, 3903, 4087, 3717, 2894, 1842, 845, 175, 13,
403, 1240, 2296, 3285, 3938, 4077, 3665, 2814, 1755, 775,
141, 24, 457, 1322, 2383, 3354, 3970, 4063, 3610, 2732,
1668, 707, 110, 40, 515, 1406, 2471, 3422, 3999, 4046,
3550, 2646, 1579, 640, 83, 60, 576, 1493, 2560, 3488,
4025, 4024, 3486, 2557, 1490, 574, 59, 84, 642, 1583,
2650, 3553, 4047, 3997, 3418, 2466, 1401, 511, 39, 112,
712, 1675, 2739, 3615, 4065, 3966, 3346, 2373, 1311, 449,
22, 146, 786, 1770, 2829, 3675, 4079, 3931, 3270, 2277,
1221, 391, 10, 184, 865, 1867, 2918, 3733, 4089, 3890,
3190, 2179, 1132, 335, 3, 227, 947, 1966, 3007, 3787,
4094, 3844, 3106, 2079, 1044, 282, 0, 275, 1033, 2067,
3095, 3838, 4095, 3794, 3017, 1977, 956, 232, 2, 329,
1123, 2169, 3182, 3886, 4090, 3738, 2925, 1874, 870, 187,
10, 387, 1217, 2273, 3267, 3930, 4080, 3676, 2830, 1770,
786, 145, 23, 451, 1315, 2378, 3351, 3969, 4064, 3610,
2730, 1665, 704, 108, 41, 521, 1416, 2483, 3432, 4003,
4042, 3538, 2627, 1559, 624, 76, 66, 595, 1520, 2589,
3510, 4033, 4015, 3461, 2521, 1453, 547, 49, 96, 675,
1628, 2695, 3585, 4057, 3981, 3378, 2412, 1347, 473, 28,
133, 760, 1738, 2800, 3657, 4076, 3941, 3290, 2301, 1242,
403, 12, 176, 850, 1851, 2905, 3725, 4088, 3895, 3197,
2187, 1138, 337, 3, 226, 946, 1966, 3008, 3789, 4094,
3842, 3100, 2071, 1035, 276, 0, 282, 1046, 2083, 3110,
3848, 4094, 3782, 2997, 1953, 935, 220, 4, 345, 1151,
2202, 3210, 3901, 4087, 3716, 2890, 1834, 836, 169, 15,
415, 1261, 2321, 3307, 3949, 4072, 3643, 2778, 1714, 741,
124, 33, 491, 1374, 2441, 3401, 3991, 4051, 3563, 2662,
1593, 648, 85, 58, 574, 1492, 2562, 3491, 4026, 4021,
3477, 2543, 1473, 560, 53, 91, 663, 1613, 2682, 3577,
4055, 3984, 3385, 2420, 1353, 476, 29, 132, 759, 1738,
2801, 3659, 4076, 3939, 3286, 2294, 1235, 398, 11, 181,
861, 1865, 2919, 3735, 4089, 3886, 3181, 2165, 1118, 324,
2, 238, 969, 1995, 3035, 3805, 4095, 3825, 3069, 2035,
1003, 257, 1, 303, 1083, 2126, 3148, 3869, 4092, 3756,
2953, 1902, 891, 197, 8, 377, 1202, 2259, 3258, 3926,
4080, 3679, 2831, 1769, 783, 143, 24, 458, 1327, 2393,
3364, 3976, 4060, 3593, 2704, 1635, 679, 97, 49, 547,
1456, 2526, 3466, 4017, 4030, 3500, 2573, 1502, 580, 60,
84, 644, 1589, 2660, 3562, 4051, 3991, 3399, 2438, 1369,
487, 31, 127, 749, 1726, 2791, 3653, 4075, 3942, 3291,
2299, 1238, 399, 11, 181, 861, 1866, 2921, 3737, 4090,
3884, 3175, 2158, 1110, 319, 1, 244, 980, 2009, 3048,
3813, 4095, 3816, 3053, 2014, 985, 246, 1, 317, 1106,
2153, 3172, 3882, 4090, 3738, 2924, 1869, 863, 182, 11,
399, 1238, 2299, 3291, 3942, 4075, 3652, 2789, 1723, 746,
126, 32, 490, 1376, 2445, 3405, 3993, 4049, 3555, 2649,
1577, 635, 80, 64, 591, 1518, 2590, 3513, 4035, 4012,
3450, 2504, 1433, 530, 43, 106, 701, 1665, 2734, 3615,
4066, 3963, 3336, 2355, 1290, 432, 18, 160, 819, 1816,
2876, 3709, 4086, 3904, 3213, 2203, 1149, 343, 3, 225,
946, 1970, 3014, 3794, 4095, 3834, 3083, 2048, 1013, 262,
0, 301, 1080, 2125, 3149, 3870, 4092, 3752, 2945, 1891,
881, 190, 9, 388, 1222, 2282, 3278, 3937, 4077, 3660,
2800, 1734, 754, 129, 31, 486, 1369, 2439, 3402, 3992,
4049, 3557, 2650, 1578, 634, 79, 64, 594, 1523, 2595,
3518, 4037, 4009, 3443, 2494, 1422, 522, 41, 111, 712,
1681, 2750, 3626, 4069, 3956, 3320, 2334, 1269, 418, 15,
170, 841, 1843, 2901, 3725, 4088, 3891, 3187, 2170, 1119,
324, 2, 242, 978, 2008, 3049, 3815, 4095, 3813, 3045,
2004, 974, 240, 2, 326, 1124, 2175, 3191, 3893, 4088,
3722, 2896, 1836, 835, 167, 16, 423, 1277, 2343, 3327,
3960, 4067, 3619, 2739, 1669, 703, 106, 44, 532, 1437,
2510, 3456, 4014, 4032, 3504, 2576, 1502, 578, 59, 86,
653, 1603, 2676, 3575, 4055, 3983, 3378, 2407, 1338, 463,
25, 142, 784, 1774, 2838, 3685, 4082, 3919, 3241, 2235,
1177, 359, 5, 213, 926, 1948, 2997, 3784, 4094, 3841,
3094, 2059, 1021, 265, 0, 298, 1078, 2124, 3150, 3872,
4091, 3749, 2938, 1882, 871, 185, 11, 398, 1238, 2302,
3296, 3946, 4073, 3643, 2773, 1704, 729, 118, 37, 510,
1407, 2479, 3433, 4006, 4039, 3524, 2602, 1527, 596, 65,
79, 636, 1581, 2655, 3562, 4051, 3989, 3392, 2425, 1353,
473, 27, 137, 774, 1761, 2827, 3679, 4081, 3923, 3248,
2243, 1183, 362, 5, 211, 923, 1945, 2995, 3784, 4094,
3841, 3093, 2057, 1019, 264, 0, 301, 1083, 2131, 3156,
3875, 4091, 3743, 2928, 1870, 861, 179, 12, 406, 1253,
2318, 3309, 3952, 4070, 3631, 2754, 1683, 713, 110, 42,
526, 1430, 2505, 3453, 4014, 4032, 3503, 2573, 1498, 574,
57, 89, 660, 1615, 2689, 3586, 4058, 3976, 3362, 2386,
1316, 447, 21, 153, 808, 1805, 2869, 3706, 4086, 3903,
3209, 2194, 1138, 334, 2, 235, 968, 1999, 3043, 3812,
4095, 3812, 3043, 1999, 968, 235, 2, 334, 1139, 2194,
3209, 3904, 4086, 3705, 2867, 1802, 806, 152, 21, 450,
1320, 2391, 3367, 3978, 4057, 3581, 2681, 1607, 654, 86,
59, 582, 1509, 2585, 3513, 4036, 4009, 3442, 2489, 1414,
514, 38, 117, 729, 1705, 2776, 3646, 4074, 3943, 3288,
2290, 1226, 388, 9, 193, 890, 1906, 2961, 3764, 4093,
3857, 3120, 2087, 1044, 277, 0, 289, 1063, 2110, 3139,
3867, 4092, 3752, 2941, 1883, 870, 183, 11, 402, 1248,
2315, 3307, 3952, 4070, 3629, 2751, 1678, 708, 107, 44,
534, 1442, 2518, 3464, 4018, 4028, 3489, 2552, 1476, 557,
51, 97, 682, 1644, 2719, 3607, 4065, 3964, 3333, 2347,
1278, 422, 15, 171, 845, 1852, 2914, 3735, 4090, 3880,
3163, 2137, 1087, 302, 0, 265, 1023, 2064, 3101, 3846,
4094, 3775, 2979, 1924, 904, 200, 8, 379, 1213, 2277,
3278, 3938, 4075, 3651, 2783, 1711, 733, 118, 37, 513,
1414, 2490, 3443, 4010, 4034, 3508, 2578, 1500, 575, 57,
90, 665, 1623, 2698, 3594, 4061, 3971, 3348, 2365, 1294,
432, 17, 164, 833, 1838, 2901, 3728, 4089, 3885, 3172,
2147, 1095, 307, 0, 261, 1017, 2058, 3096, 3844, 4094,
3777, 2981, 1926, 905, 201, 8, 380, 1214, 2279, 3280,
3940, 4075, 3648, 2778, 1705, 728, 116, 39, 519, 1422,
2499, 3451, 4014, 4031, 3499, 2565, 1487, 564, 53, 94,
677, 1640, 2715, 3606, 4064, 3964, 3332, 2344, 1274, 418,
14, 174, 853, 1864, 2925, 3743, 4091, 3872, 3148, 2118,
1069, 291, 0, 277, 1045, 2091, 3125, 3860, 4093, 3758,
2948, 1889, 874, 184, 11, 403, 1251, 2320, 3313, 3956,
4068, 3620, 2736, 1661, 693, 101, 49, 551, 1469, 2547,
3487, 4027, 4018, 3462, 2514, 1436, 528, 41, 112, 719,
1695, 2769, 3643, 4074, 3942, 3285, 2284, 1217, 381, 8,
200, 906, 1928, 2984, 3779, 4094, 3841, 3090, 2049, 1008,
256, 1, 314, 1109, 2164, 3187, 3894, 4087, 3715, 2879,
1813, 811, 153, 21, 452, 1326, 2400, 3376, 3984, 4053,
3566, 2656, 1578, 630, 76, 69, 612, 1554, 2633, 3549,
4048, 3992, 3395, 2424, 1348, 467, 25, 145, 793, 1790,
2859, 3702, 4086, 3903, 3204, 2184, 1126, 324, 1, 247,
993, 2032, 3076, 3833, 4094, 3787, 2996, 1941, 916, 205,
7, 376, 1209, 2276, 3279, 3940, 4074, 3646, 2773, 1698,
720, 112, 41, 529, 1439, 2518, 3466, 4020, 4025, 3481,
2538, 1458, 543, 46, 105, 705, 1678, 2754, 3634, 4072,
3947, 3294, 2294, 1225, 386, 8, 198, 902, 1925, 2982,
3779, 4094, 3840, 3087, 2045, 1003, 252, 1, 319, 1118,
2176, 3198, 3900, 4086, 3705, 2863, 1794, 796, 145, 25,
467, 1349, 2426, 3397, 3993, 4047, 3545, 2626, 1546, 605,
66, 79, 639, 1592, 2671, 3577, 4057, 3977, 3360, 2378,
1304, 436, 18, 164, 835, 1844, 2909, 3735, 4090, 3877,
3154, 2123, 1071, 291, 0, 279, 1051, 2100, 3135, 3867,
4092, 3747, 2930, 1866, 853, 173, 15, 423, 1284, 2357,
3345, 3970, 4061, 3590, 2689, 1610, 653, 84, 62, 594,
1531, 2611, 3535, 4044, 3997, 3406, 2437, 1359, 473, 26,
142, 789, 1787, 2858, 3702, 4086, 3901, 3200, 2177, 1118,
319, 1, 254, 1007, 2050, 3092, 3843, 4094, 3774, 2973,
1913, 891, 192, 10, 396, 1243, 2314, 3311, 3955, 4068,
3617, 2729, 1650, 682, 95, 53, 567, 1494, 2575, 3509,
4036, 4008, 3433, 2472, 1392, 495, 32, 130, 764, 1756,
2829, 3684, 4083, 3913, 3224, 2206, 1144, 334, 2, 241,
984, 2024, 3071, 3831, 4095, 3786, 2993, 1936, 909, 201,
8, 384, 1225, 2295, 3296, 3949, 4071, 3628, 2744, 1666,
694, 100, 50, 557, 1481, 2563, 3501, 4033, 4011, 3441,
2481, 1401, 501, 33, 128, 758, 1749, 2823, 3680, 4082,
3915, 3227, 2209, 1146, 335, 2, 240, 983, 2024, 3071,
3832, 4094, 3785, 2991, 1933, 907, 199, 8, 387, 1229,
2301, 3301, 3951, 4070, 3623, 2736, 1657, 687, 97, 52,
565, 1492, 2574, 3510, 4036, 4007, 3430, 2467, 1386, 491,
30, 134, 772, 1767, 2840, 3692, 4084, 3907, 3210, 2188,
1127, 323, 1, 252, 1004, 2048, 3092, 3844, 4094, 3771,
2967, 1905, 883, 187, 11, 405, 1257, 2331, 3326, 3963,
4064, 3602, 2704, 1623, 661, 86, 60, 590, 1528, 2610,
3536, 4045, 3995, 3401, 2428, 1348, 464, 23, 149, 805,
1809, 2880, 3718, 4088, 3888, 3172, 2142, 1085, 298, 0,
275, 1046, 2098, 3135, 3868, 4091, 3743, 2920, 1853, 840,
165, 17, 438, 1309, 2386, 3369, 3982, 4053, 3563, 2649,
1566, 618, 70, 76, 634, 1588, 2670, 3578, 4058, 3975,
3352, 2364, 1287, 423, 15, 175, 860, 1877, 2942, 3757,
4093, 3856, 3112, 2071, 1022, 261, 1, 313, 1112, 2172,
3198, 3901, 4085, 3699, 2849, 1775, 778, 136, 29, 488,
1384, 2466, 3430, 4007, 4035, 3506, 2568, 1484, 558, 50,
101, 697, 1672, 2753, 3635, 4073, 3943, 3282, 2274, 1204,
370, 6, 214, 936, 1970, 3026, 3807, 4095, 3809, 3029,
1974, 940, 216, 5, 368, 1201, 2271, 3279, 3942, 4073,
3637, 2754, 1674, 698, 101, 50, 558, 1485, 2569, 3507,
4036, 4007, 3428, 2463, 1380, 485, 28, 138, 783, 1783,
2857, 3704, 4086, 3897, 3188, 2160, 1100, 306, 0, 269,
1037, 2088, 3128, 3865, 4092, 3745, 2922, 1853, 839, 164,
18, 441, 1315, 2395, 3377, 3986, 4051, 3554, 2634, 1549,
605, 65, 82, 650, 1611, 2695, 3596, 4063, 3964, 3327,
2331, 1255, 402, 10, 191, 893, 1919, 2981, 3781, 4094,
3833, 3070, 2020, 978, 236, 3, 344, 1163, 2231, 3248,
3927, 4078, 3659, 2788, 1708, 724, 111, 43, 537, 1456,
2541, 3487, 4029, 4014, 3447, 2486, 1403, 500, 32, 131,
768, 1764, 2840, 3694, 4085, 3903, 3200, 2173, 1111, 312,
1, 264, 1030, 2081, 3123, 3862, 4092, 3747, 2924, 1855,
840, 165, 18, 442, 1317, 2398, 3380, 3987, 4050, 3549,
2626, 1540, 598, 62, 85, 660, 1625, 2708, 3606, 4066,
3958, 3313, 2312, 1237, 389, 8, 201, 913, 1944, 3004,
3795, 4095, 3819, 3044, 1990, 951, 221, 5, 363, 1195,
2267, 3277, 3941, 4073, 3635, 2750, 1667, 692, 98, 52,
568, 1500, 2586, 3521, 4041, 4000, 3409, 2436, 1353, 465,
23, 151, 812, 1821, 2894, 3728, 4090, 3877, 3148, 2110,
1055, 278, 0, 298, 1089, 2149, 3181, 3894, 4087, 3706,
2858, 1782, 781, 136, 30, 491, 1391, 2476, 3440, 4012,
4031, 3491, 2545, 1458, 538, 43, 112, 726, 1713, 2794,
3664, 4079, 3922, 3237, 2217, 1149, 334, 2, 246, 997,
2045, 3093, 3847, 4093, 3764, 2951, 1883, 862, 175, 15,
428, 1297, 2378, 3366, 3982, 4053, 3559, 2639, 1552, 605,
65, 83, 655, 1619, 2704, 3604, 4066, 3958, 3312, 2310,
1233, 386, 8, 204, 920, 1954, 3014, 3802, 4095, 3811,
3030, 1971, 935, 212, 6, 376, 1218, 2293, 3299, 3952,
4068, 3614, 2719, 1634, 665, 87, 61, 596, 1540, 2627,
3551, 4051, 3985, 3374, 2388, 1306, 433, 16, 172, 857,
1877, 2946, 3762, 4093, 3848, 3095, 2046, 997, 245, 2,
335, 1152, 2221, 3242, 3925, 4078, 3659, 2784, 1702, 717,
108, 46, 549, 1475, 2562, 3505, 4036, 4006, 3423, 2452,
1367, 474, 25, 147, 806, 1815, 2890, 3727, 4090, 3876,
3146, 2106, 1050, 275, 0, 304, 1100, 2163, 3194, 3901,
4085, 3693, 2837, 1757, 760, 126, 35, 512, 1423, 2510,
3467, 4022, 4020, 3461, 2502, 1415, 507, 33, 129, 767,
1766, 2845, 3699, 4086, 3897, 3186, 2153, 1090, 298, 0,
281, 1061, 2119, 3158, 3882, 4089, 3718, 2875, 1799, 792,
141, 28, 486, 1385, 2472, 3438, 4012, 4030, 3488, 2539,
1451, 531, 40, 117, 739, 1731, 2813, 3678, 4082, 3911,
3213, 2186, 1119, 315, 1, 265, 1034, 2089, 3132, 3869,
4091, 3735, 2901, 1827, 814, 151, 24, 469, 1361, 2447,
3420, 4005, 4036, 3505, 2562, 1473, 547, 45, 110, 723,
1710, 2794, 3666, 4080, 3919, 3229, 2204, 1135, 325, 1,
257, 1019, 2072, 3119, 3862, 4092, 3743, 2915, 1841, 825,
156, 22, 461, 1349, 2435, 3411, 4001, 4039, 3512, 2571,
1482, 553, 47, 107, 717, 1703, 2787, 3662, 4079, 3922,
3233, 2210, 1140, 327, 1, 255, 1016, 2070, 3117, 3861,
4092, 3744, 2915, 1841, 825, 156, 22, 462, 1351, 2437,
3413, 4002, 4038, 3510, 2567, 1478, 549, 46, 109, 721,
1709, 2793, 3666, 4080, 3918, 3227, 2201, 1131, 322, 1,
260, 1026, 2081, 3127, 3867, 4091, 3736, 2903, 1827, 814,
150, 24, 471, 1365, 2453, 3425, 4007, 4034, 3497, 2550,
1460, 537, 42, 115, 736, 1729, 2813, 3679, 4083, 3909,
3208, 2178, 1111, 309, 0, 272, 1047, 2106, 3148, 3878,
4089, 3721, 2879, 1800, 792, 140, 29, 490, 1393, 2482,
3447, 4016, 4026, 3475, 2519, 1429, 515, 35, 126, 763,
1763, 2845, 3700, 4086, 3894, 3178, 2142, 1078, 290, 0,
291, 1081, 2145, 3181, 3896, 4086, 3698, 2841, 1759, 759,
125, 36, 518, 1434, 2525, 3479, 4028, 4014, 3442, 2474,
1385, 484, 27, 143, 800, 1811, 2889, 3728, 4090, 3872,
3136, 2091, 1034, 264, 1, 319, 1127, 2198, 3225, 3918,
4080, 3665, 2790, 1705, 717, 106, 47, 557, 1489, 2580,
3520, 4042, 3997, 3398, 2416, 1329, 446, 18, 167, 849,
1873, 2945, 3763, 4094, 3843, 3082, 2027, 978, 233, 3,
355, 1187, 2264, 3279, 3945, 4071, 3622, 2726, 1637, 665,
85, 64, 606, 1558, 2649, 3569, 4057, 3973, 3343, 2344,
1260, 401, 10, 198, 911, 1948, 3013, 3804, 4095, 3804,
3014, 1949, 912, 198, 10, 401, 1260, 2344, 3343, 3974,
4057, 3568, 2647, 1556, 604, 63, 86, 667, 1641, 2730,
3625, 4072, 3942, 3274, 2257, 1180, 350, 3, 237, 987,
2038, 3092, 3849, 4093, 3756, 2932, 1857, 836, 160, 21,
458, 1348, 2437, 3415, 4004, 4036, 3502, 2555, 1463, 537,
41, 116, 741, 1738, 2823, 3687, 4084, 3902, 3192, 2156,
1089, 295, 0, 288, 1076, 2141, 3180, 3896, 4086, 3695,
2836, 1752, 752, 121, 39, 528, 1450, 2543, 3494, 4033,
4007, 3423, 2447, 1357, 464, 22, 157, 830, 1850, 2926,
3752, 4093, 3851, 3095, 2041, 989, 238, 3, 350, 1181,
2258, 3276, 3944, 4071, 3622, 2724, 1634, 661, 84, 65,
612, 1568, 2660, 3578, 4060, 3968, 3329, 2325, 1242, 388,
7, 208, 933, 1976, 3039, 3819, 4095, 3787, 2983, 1912,
880, 181, 14, 426, 1301, 2388, 3379, 3989, 4047, 3534,
2597, 1504, 566, 50, 104, 712, 1701, 2789, 3665, 4080,
3916, 3219, 2188, 1116, 311, 0, 274, 1053, 2116, 3160,
3886, 4088, 3708, 2854, 1770, 766, 127, 36, 518, 1437,
2530, 3486, 4031, 4010, 3429, 2454, 1363, 468, 23, 155,
828, 1849, 2926, 3753, 4093, 3849, 3091, 2036, 983, 235,
3, 355, 1190, 2270, 3286, 3949, 4069, 3612, 2708, 1616,
647, 78, 71, 628, 1591, 2683, 3595, 4064, 3958, 3307,
2295, 1213, 370, 5, 223, 963, 2012, 3071, 3838, 4094,
3765, 2946, 1870, 845, 163, 20, 455, 1345, 2436, 3416,
4005, 4035, 3497, 2545, 1451, 528, 38, 123, 757, 1760,
2845, 3703, 4087, 3889, 3165, 2121, 1057, 275, 0, 310,
1117, 2189, 3221, 3918, 4080, 3661, 2782, 1692, 704, 100,
53, 575, 1518, 2613, 3546, 4051, 3983, 3362, 2365, 1278,
410, 11, 194, 906, 1945, 3014, 3806, 4095, 3799, 3002,
1932, 896, 188, 12, 418, 1290, 2379, 3372, 3987, 4048,
3536, 2599, 1504, 564, 49, 105, 717, 1709, 2798, 3673,
4082, 3910, 3204, 2168, 1098, 299, 0, 287, 1078, 2146,
3186, 3900, 4084, 3686, 2819, 1731, 734, 112, 44, 550,
1484, 2579, 3522, 4043, 3993, 3387, 2397, 1307, 429, 14,
181, 883, 1917, 2989, 3792, 4095, 3812, 3024, 1957, 915,
198, 10, 405, 1271, 2359, 3357, 3981, 4051, 3548, 2615,
1519, 575, 52, 101, 707, 1696, 2787, 3665, 4081, 3914,
3213, 2178, 1105, 303, 0, 284, 1072, 2140, 3182, 3898,
4085, 3688, 2821, 1732, 734, 112, 45, 551, 1486, 2581,
3524, 4044, 3992, 3383, 2391, 1301, 424, 13, 185, 890,
1927, 2999, 3797, 4095, 3806, 3013, 1943, 903, 191, 12,
415, 1286, 2376, 3371, 3987, 4047, 3534, 2595, 1499, 560,
47, 108, 725, 1721, 2811, 3681, 4084, 3902, 3189, 2149,
1079, 287, 0, 300, 1101, 2173, 3209, 3913, 4081, 3666,
2787, 1696, 706, 100, 53, 578, 1524, 2621, 3553, 4053,
3978, 3350, 2347, 1259, 397, 9, 205, 929, 1975, 3041,
3823, 4095, 3779, 2967, 1891, 860, 170, 18, 449, 1338,
2431, 3414, 4005, 4034, 3493, 2538, 1441, 519, 35, 129,
773, 1783, 2869, 3719, 4090, 3874, 3134, 2082, 1020, 253,
2, 337, 1164, 2244, 3268, 3941, 4071, 3620, 2718, 1623,
650, 78, 72, 633, 1600, 2696, 3605, 4068, 3950, 3286,
2266, 1184, 349, 3, 243, 1002, 2061, 3116, 3864, 4091,
3730, 2887, 1802, 787, 135, 32, 508, 1426, 2523, 3483,
4031, 4009, 3423, 2443, 1349, 455, 19, 166, 853, 1884,
2961, 3776, 4094, 3824, 3044, 1977, 930, 205, 9, 399,
1262, 2352, 3354, 3980, 4051, 3546, 2611, 1513, 569, 50,
105, 719, 1714, 2806, 3679, 4084, 3903, 3189, 2146, 1076,
284, 0, 304, 1110, 2185, 3221, 3919, 4079, 3655, 2769,
1675, 689, 93, 59, 597, 1552, 2650, 3574, 4060, 3966,
3321, 2309, 1222, 373, 5, 225, 969, 2023, 3084, 3848,
4093, 3750, 2917, 1834, 812, 146, 27, 489, 1400, 2496,
3464, 4024, 4016, 3441, 2465, 1369, 468, 22, 159, 839,
1867, 2947, 3768, 4094, 3831, 3054, 1988, 939, 209, 8,
394, 1256, 2346, 3350, 3979, 4052, 3548, 2612, 1513, 569,
50, 106, 721, 1718, 2810, 3683, 4084, 3899, 3181, 2137,
1066, 279, 0, 311, 1123, 2200, 3234, 3926, 4077, 3643,
2750, 1655, 672, 86, 65, 615, 1577, 2675, 3592, 4065,
3956, 3297, 2279, 1193, 354, 3, 241, 999, 2059, 3116,
3865, 4091, 3727, 2880, 1792, 779, 131, 35, 519, 1444,
2543, 3499, 4037, 4001, 3403, 2414, 1319, 434, 15, 181,
885, 1924, 2999, 3800, 4095, 3800, 3000, 1925, 886, 181,
15, 434, 1319, 2414, 3403, 4001, 4036, 3498, 2541, 1442,
518, 34, 131, 781, 1796, 2883, 3730, 4091, 3863, 3111,
2053, 993, 237, 3, 360, 1202, 2289, 3306, 3960, 4062,
3583, 2661, 1562, 603, 61, 91, 687, 1674, 2770, 3657,
4080, 3916, 3213, 2174, 1098, 297, 0, 294, 1095, 2170,
3210, 3914, 4080, 3659, 2773, 1678, 689, 92, 60, 601,
1560, 2660, 3582, 4062, 3960, 3306, 2289, 1202, 359, 3,
238, 995, 2056, 3115, 3865, 4091, 3726, 2877, 1789, 775,
128, 36, 525, 1453, 2553, 3507, 4040, 3997, 3391, 2397,
1302, 423, 12, 190, 904, 1948, 3021, 3813, 4095, 3785,
2974, 1895, 860, 168, 19, 456, 1353, 2451, 3432, 4013,
4026, 3468, 2499, 1399, 487, 26, 149, 821, 1847, 2931,
3760, 4094, 3836, 3062, 1995, 942, 210, 8, 396, 1261,
2354, 3358, 3983, 4049, 3536, 2593, 1492, 552, 44, 115,
745, 1751, 2843, 3705, 4088, 3881, 3143, 2089, 1023, 253,
2, 342, 1176, 2262, 3285, 3951, 4066, 3598, 2681, 1581,
616, 65, 87, 677, 1663, 2760, 3651, 4079, 3919, 3217,
2177, 1100, 297, 0, 296, 1098, 2175, 3215, 3918, 4079,
3652, 2762, 1664, 678, 87, 64, 615, 1581, 2681, 3598,
4067, 3951, 3284, 2259, 1174, 341, 2, 255, 1027, 2094,
3148, 3884, 4087, 3701, 2836, 1742, 737, 112, 46, 560,
1505, 2607, 3546, 4052, 3978, 3344, 2335, 1243, 384, 6,
220, 963, 2020, 3085, 3849, 4092, 3743, 2903, 1815, 794,
136, 32, 512, 1436, 2537, 3497, 4037, 4000, 3398, 2405,
1308, 425, 13, 189, 905, 1951, 3025, 3816, 4095, 3780,
2964, 1882, 848, 161, 22, 469, 1373, 2473, 3450, 4020,
4019, 3446, 2468, 1368, 465, 21, 164, 853, 1888, 2970,
3784, 4095, 3812, 3018, 1943, 898, 186, 14, 431, 1317,
2415, 3406, 4003, 4034, 3488, 2525, 1423, 503, 30, 142,
807, 1831, 2919, 3753, 4093, 3840, 3067, 1998, 944, 209,
8, 398, 1267, 2362, 3366, 3987, 4046, 3525, 2576, 1473,
537, 39, 124, 767, 1781, 2873, 3725, 4091, 3864, 3110,
2047, 985, 231, 4, 370, 1223, 2315, 3329, 3971, 4056,
3557, 2621, 1518, 568, 49, 109, 732, 1736, 2832, 3699,
4087, 3883, 3147, 2091, 1022, 252, 2, 346, 1184, 2273,
3296, 3957, 4063, 3584, 2659, 1557, 596, 57, 96, 702,
1698, 2796, 3676, 4084, 3900, 3178, 2128, 1055, 270, 1,
326, 1152, 2237, 3268, 3944, 4069, 3607, 2692, 1590, 620,
66, 87, 677, 1666, 2765, 3656, 4080, 3913, 3204, 2159,
1082, 285, 0, 310, 1125, 2208, 3244, 3933, 4074, 3626,
2719, 1617, 641, 73, 79, 657, 1639, 2740, 3640, 4077,
3924, 3225, 2185, 1104, 298, 0, 297, 1104, 2184, 3225,
3924, 4077, 3640, 2740, 1639, 657, 79, 73, 642, 1619,
2721, 3627, 4074, 3932, 3241, 2204, 1121, 308, 0, 288,
1088, 2166, 3211, 3917, 4079, 3650, 2756, 1655, 668, 83,
69, 630, 1604, 2707, 3618, 4072, 3937, 3252, 2217, 1133,
314, 0, 282, 1077, 2155, 3201, 3912, 4080, 3657, 2766,
1665, 676, 86, 67, 624, 1595, 2699, 3612, 4071, 3940,
3259, 2225, 1139, 318, 0, 278, 1072, 2149, 3196, 3910,
4081, 3660, 2770, 1669, 679, 87, 66, 622, 1593, 2696,
3611, 4070, 3941, 3260, 2226, 1140, 319, 0, 278, 1071,
2149, 3197, 3910, 4081, 3659, 2768, 1668, 677, 86, 66,
624, 1596, 2699, 3613, 4071, 3939, 3256, 2222, 1136, 316,
0, 281, 1077, 2155, 3202, 3913, 4080, 3655, 2761, 1660,
671, 84, 69, 630, 1604, 2708, 3619, 4072, 3935, 3248,
2211, 1126, 310, 0, 287, 1087, 2167, 3212, 3918, 4078,
3647, 2749, 1647, 661, 80, 72, 641, 1619, 2722, 3629,
4075, 3929, 3235, 2194, 1111, 301, 0, 296, 1103, 2185,
3227, 3925, 4076, 3635, 2731, 1627, 647, 74, 78, 656,
1640, 2742, 3643, 4078, 3920, 3217, 2172, 1091, 289, 0,
308, 1124, 2209, 3247, 3935, 4072, 3619, 2707, 1602, 628,
68, 85, 675, 1666, 2768, 3660, 4081, 3909, 3193, 2143,
1066, 274, 1, 324, 1151, 2239, 3272, 3947, 4067, 3598,
2677, 1571, 605, 60, 95, 700, 1698, 2799, 3680, 4085,
3894, 3165, 2109, 1035, 257, 2, 344, 1183, 2275, 3301,
3960, 4061, 3574, 2641, 1535, 578, 51, 107, 729, 1737,
2835, 3704, 4088, 3877, 3131, 2068, 1000, 238, 4, 367,
1221, 2317, 3334, 3975, 4053, 3545, 2599, 1493, 548, 41,
121, 764, 1781, 2877, 3730, 4091, 3856, 3091, 2022, 960,
216, 7, 395, 1265, 2365, 3371, 3991, 4042, 3511, 2552,
1445, 514, 32, 139, 804, 1832, 2923, 3759, 4094, 3831,
3046, 1969, 916, 193, 12, 427, 1315, 2418, 3412, 4007,
4029, 3472, 2498, 1392, 478, 23, 160, 849, 1889, 2975,
3790, 4095, 3801, 2995, 1911, 867, 169, 20, 464, 1371,
2477, 3456, 4024, 4013, 3427, 2438, 1334, 439, 15, 185,
900, 1951, 3031, 3822, 4094, 3768, 2937, 1847, 815, 144,
30, 506, 1434, 2541, 3504, 4040, 3993, 3377, 2371, 1271,
398, 8, 214, 958, 2020, 3091, 3856, 4091, 3729, 2874,
1777, 759, 119, 43, 554, 1503, 2611, 3554, 4056, 3970,
3321, 2299, 1203, 355, 3, 249, 1022, 2095, 3155, 3890,
4085, 3684, 2803, 1701, 700, 94, 60, 608, 1578, 2685,
3606, 4070, 3941, 3258, 2220, 1132, 312, 0, 289, 1092,
2176, 3222, 3924, 4076, 3634, 2726, 1620, 639, 71, 82,
669, 1660, 2765, 3659, 4081, 3907, 3188, 2135, 1056, 268,
1, 334, 1170, 2263, 3292, 3957, 4062, 3577, 2643, 1534,
576, 50, 109, 736, 1748, 2848, 3713, 4090, 3867, 3112,
2044, 977, 224, 6, 387, 1254, 2355, 3365, 3989, 4043,
3512, 2552, 1443, 512, 31, 142, 811, 1843, 2936, 3767,
4094, 3821, 3027, 1946, 895, 182, 16, 446, 1346, 2452,
3439, 4018, 4019, 3441, 2454, 1348, 447, 16, 181, 894,
1945, 3026, 3821, 4094, 3767, 2936, 1843, 811, 141, 31,
513, 1445, 2554, 3515, 4044, 3988, 3362, 2350, 1249, 383,
5, 227, 984, 2052, 3120, 3872, 4089, 3706, 2836, 1735,
725, 104, 53, 588, 1552, 2661, 3590, 4066, 3949, 3274,
2238, 1147, 320, 0, 282, 1082, 2166, 3215, 3921, 4077,
3636, 2729, 1622, 639, 71, 83, 672, 1666, 2771, 3664,
4082, 3902, 3178, 2121, 1042, 259, 2, 345, 1189, 2285,
3312, 3966, 4057, 3557, 2614, 1504, 554, 42, 121, 765,
1787, 2885, 3737, 4092, 3847, 3072, 1997, 936, 202, 11,
418, 1305, 2410, 3408, 4007, 4029, 3469, 2491, 1382, 469,
21, 168, 868, 1915, 3001, 3806, 4095, 3781, 2958, 1867,
829, 149, 28, 501, 1429, 2538, 3504, 4041, 3992, 3371,
2360, 1258, 388, 6, 225, 980, 2049, 3118, 3872, 4089,
3705, 2834, 1732, 722, 102, 55, 594, 1561, 2671, 3597,
4068, 3944, 3262, 2222, 1131, 310, 0, 293, 1102, 2189,
3235, 3931, 4073, 3618, 2702, 1592, 617, 62, 93, 698,
1701, 2806, 3688, 4086, 3885, 3142, 2078, 1004, 237, 4,
372, 1234, 2335, 3351, 3984, 4046, 3520, 2560, 1449, 514,
31, 142, 814, 1849, 2943, 3773, 4095, 3813, 3012, 1927,
877, 172, 19, 464, 1376, 2485, 3466, 4028, 4007, 3409,
2410, 1304, 417, 10, 204, 941, 2004, 3080, 3852, 4092,
3729, 2871, 1771, 751, 114, 47, 569, 1527, 2638, 3576,
4062, 3955, 3286, 2252, 1157, 325, 0, 280, 1080, 2165,
3216, 3922, 4076, 3631, 2720, 1610, 629, 67, 88, 687,
1687, 2794, 3680, 4085, 3889, 3150, 2086, 1010, 241, 4,
370, 1230, 2332, 3350, 3984, 4046, 3520, 2559, 1447, 512,
31, 144, 819, 1856, 2950, 3777, 4095, 3808, 3002, 1914,
866, 166, 21, 474, 1392, 2502, 3479, 4033, 4001, 3393,
2388, 1282, 402, 8, 215, 964, 2032, 3105, 3865, 4090,
3711, 2842, 1738, 725, 103, 55, 595, 1563, 2675, 3602,
4069, 3940, 3252, 2209, 1117, 301, 0, 304, 1122, 2214,
3256, 3942, 4068, 3598, 2670, 1558, 590, 53, 105, 731,
1745, 2849, 3716, 4090, 3861, 3097, 2022, 955, 211, 9,
409, 1293, 2400, 3403, 4006, 4029, 3468, 2487, 1376, 463,
19, 174, 882, 1935, 3021, 3819, 4094, 3764, 2927, 1830,
797, 134, 36, 532, 1477, 2590, 3543, 4054, 3972, 3321,
2294, 1194, 347, 2, 261, 1049, 2132, 3190, 3910, 4080,
3649, 2744, 1634, 646, 72, 82, 674, 1671, 2780, 3672,
4084, 3894, 3158, 2093, 1015, 243, 4, 369, 1231, 2334,
3353, 3985, 4045, 3514, 2549, 1436, 504, 28, 150, 833,
1875, 2968, 3789, 4095, 3795, 2978, 1886, 842, 154, 26,
497, 1426, 2539, 3507, 4043, 3988, 3360, 2343, 1239, 374,
4, 239, 1009, 2087, 3152, 3891, 4085, 3675, 2784, 1675,
676, 83, 72, 645, 1634, 2745, 3649, 4080, 3909, 3187,
2128, 1045, 258, 2, 351, 1202, 2304, 3329, 3976, 4051,
3533, 2575, 1461, 521, 32, 141, 814, 1852, 2948, 3778,
4095, 3806, 2996, 1905, 857, 161, 24, 486, 1411, 2524,
3496, 4039, 3993, 3370, 2355, 1249, 380, 5, 235, 1001,
2078, 3146, 3888, 4085, 3678, 2789, 1679, 679, 84, 71,
644, 1632, 2744, 3649, 4080, 3908, 3185, 2125, 1042, 257,
2, 354, 1207, 2310, 3335, 3978, 4049, 3527, 2566, 1452,
514, 30, 145, 824, 1865, 2961, 3785, 4095, 3798, 2981,
1888, 842, 154, 27, 499, 1430, 2545, 3512, 4044, 3985,
3351, 2331, 1226, 365, 3, 247, 1025, 2106, 3170, 3901,
4082, 3660, 2759, 1647, 654, 75, 80, 669, 1667, 2778,
3672, 4084, 3892, 3153, 2086, 1007, 237, 4, 378, 1246,
2353, 3369, 3993, 4039, 3495, 2521, 1407, 483, 23, 164,
864, 1915, 3006, 3812, 4095, 3770, 2933, 1834, 798, 133,
36, 536, 1485, 2601, 3552, 4057, 3965, 3304, 2270, 1170,
330, 1, 278, 1082, 2171, 3225, 3928, 4073, 3617, 2695,
1580, 604, 57, 101, 723, 1738, 2845, 3716, 4090, 3859,
3089, 2010, 942, 202, 11, 424, 1320, 2432, 3429, 4016,
4019, 3435, 2440, 1328, 429, 12, 199, 935, 2002, 3082,
3855, 4091, 3719, 2851, 1744, 727, 103, 56, 601, 1576,
2691, 3615, 4073, 3929, 3226, 2173, 1082, 278, 1, 331,
1172, 2273, 3307, 3967, 4056, 3548, 2594, 1478, 531, 35,
137, 807, 1846, 2945, 3777, 4095, 3804, 2991, 1897, 848,
156, 26, 497, 1430, 2546, 3513, 4045, 3983, 3345, 2322,
1216, 358, 2, 255, 1041, 2126, 3188, 3911, 4079, 3643,
2733, 1619, 632, 66, 90, 696, 1704, 2815, 3697, 4088,
3872, 3114, 2038, 965, 214, 9, 410, 1299, 2410, 3414,
4011, 4024, 3448, 2456, 1342, 438, 13, 194, 926, 1992,
3074, 3851, 4091, 3723, 2856, 1748, 730, 103, 56, 601,
1577, 2693, 3617, 4074, 3927, 3221, 2166, 1075, 274, 1,
337, 1183, 2286, 3318, 3972, 4053, 3536, 2576, 1459, 517,
31, 145, 826, 1871, 2968, 3791, 4095, 3789, 2964, 1867,
823, 144, 32, 520, 1464, 2581, 3540, 4054, 3970, 3313,
2280, 1177, 334, 1, 278, 1082, 2174, 3228, 3931, 4072,
3610, 2682, 1566, 592, 53, 108, 741, 1763, 2870, 3732,
4092, 3843, 3058, 1972, 909, 185, 16, 453, 1365, 2481,
3467, 4031, 4003, 3392, 2380, 1270, 391, 6, 230, 995,
2075, 3146, 3890, 4084, 3671, 2774, 1660, 662, 77, 79,
669, 1669, 2783, 3677, 4085, 3886, 3138, 2065, 987, 225,
7, 397, 1280, 2392, 3401, 4006, 4027, 3458, 2468, 1352,
444, 14, 191, 922, 1989, 3073, 3851, 4091, 3722, 2852,
1743, 724, 101, 58, 609, 1589, 2706, 3627, 4076, 3920,
3205, 2145, 1055, 262, 2, 352, 1208, 2315, 3342, 3983,
4045, 3512, 2541, 1423, 491, 24, 161, 861, 1916, 3009,
3816, 4094, 3762, 2917, 1813, 779, 124, 43, 560, 1522,
2641, 3582, 4066, 3946, 3260, 2211, 1114, 295, 0, 316,
1150, 2251, 3292, 3961, 4058, 3555, 2601, 1482, 532, 35,
138, 813, 1856, 2956, 3785, 4095, 3793, 2970, 1871, 825,
144, 32, 522, 1468, 2588, 3545, 4056, 3966, 3303, 2264,
1161, 323, 0, 289, 1104, 2200, 3251, 3942, 4067, 3588,
2649, 1529, 565, 44, 122, 775, 1809, 2914, 3760, 4094,
3816, 3010, 1915, 860, 160, 25, 494, 1428, 2547, 3517,
4047, 3980, 3335, 2304, 1198, 345, 1, 270, 1070, 2162,
3221, 3928, 4073, 3612, 2683, 1564, 590, 51, 110, 748,
1775, 2884, 3742, 4093, 3832, 3038, 1947, 886, 173, 20,
474, 1399, 2518, 3496, 4041, 3989, 3356, 2332, 1222, 360,
2, 257, 1048, 2137, 3200, 3918, 4076, 3627, 2705, 1586,
605, 56, 103, 732, 1755, 2865, 3731, 4092, 3842, 3054,
1965, 901, 180, 18, 464, 1384, 2502, 3485, 4037, 3994,
3367, 2346, 1235, 367, 3, 251, 1037, 2125, 3191, 3914,
4078, 3634, 2715, 1596, 612, 58, 101, 726, 1747, 2858,
3727, 4092, 3845, 3059, 1971, 905, 182, 17, 461, 1380,
2499, 3483, 4037, 3994, 3368, 2347, 1236, 368, 3, 251,
1038, 2127, 3192, 3914, 4077, 3632, 2712, 1592, 609, 57,
102, 730, 1752, 2864, 3730, 4092, 3841, 3053, 1963, 898,
178, 18, 467, 1390, 2509, 3491, 4039, 3991, 3360, 2335,
1224, 360, 2, 258, 1050, 2141, 3204, 3921, 4075, 3622,
2696, 1576, 597, 53, 108, 744, 1771, 2881, 3741, 4093,
3832, 3035, 1942, 881, 169, 22, 481, 1411, 2532, 3507,
4045, 3983, 3341, 2310, 1201, 346, 1, 271, 1073, 2168,
3227, 3932, 4071, 3603, 2668, 1547, 576, 47, 118, 768,
1802, 2910, 3759, 4094, 3815, 3006, 1908, 853, 156, 27,
504, 1445, 2567, 3532, 4052, 3970, 3311, 2272, 1166, 325,
0, 291, 1109, 2208, 3260, 3947, 4064, 3576, 2628, 1506,
547, 38, 133, 803, 1846, 2951, 3783, 4095, 3792, 2964,
1862, 815, 138, 35, 537, 1492, 2614, 3566, 4062, 3952,
3271, 2221, 1120, 297, 0, 318, 1156, 2262, 3303, 3967,
4054, 3538, 2575, 1452, 509, 28, 154, 849, 1904, 3002,
3814, 4094, 3760, 2910, 1802, 767, 117, 47, 579, 1552,
2674, 3608, 4072, 3928, 3219, 2157, 1063, 264, 2, 354,
1216, 2328, 3355, 3989, 4040, 3491, 2508, 1387, 464, 18,
181, 907, 1975, 3065, 3849, 4091, 3719, 2844, 1729, 710,
94, 65, 632, 1625, 2745, 3656, 4082, 3897, 3155, 2080,
995, 227, 7, 400, 1289, 2407, 3416, 4013, 4020, 3432,
2428, 1310, 413, 8, 217, 977, 2059, 3137, 3888, 4084,
3668, 2764, 1645, 646, 69, 88, 697, 1712, 2828, 3709,
4090, 3856, 3078, 1990, 918, 187, 16, 456, 1376, 2497,
3484, 4037, 3992, 3361, 2335, 1222, 358, 2, 262, 1060,
2156, 3218, 3928, 4072, 3606, 2671, 1548, 575, 46, 120,
774, 1812, 2921, 3767, 4095, 3806, 2988, 1886, 833, 146,
32, 525, 1476, 2600, 3557, 4060, 3956, 3277, 2228, 1124,
299, 0, 318, 1158, 2265, 3307, 3969, 4053, 3531, 2563,
1440, 499, 25, 161, 865, 1926, 3023, 3826, 4094, 3744,
2883, 1770, 741, 106, 56, 606, 1591, 2714, 3635, 4078,
3909, 3179, 2107, 1018, 239, 5, 387, 1270, 2387, 3402,
4009, 4024, 3443, 2441, 1321, 420, 9, 214, 971, 2053,
3133, 3886, 4085, 3668, 2763, 1642, 644, 68, 90, 702,
1720, 2837, 3716, 4091, 3850, 3065, 1973, 904, 179, 19,
470, 1397, 2521, 3502, 4044, 3983, 3339, 2305, 1193, 339,
1, 280, 1093, 2193, 3250, 3944, 4065, 3578, 2628, 1504,
543, 36, 137, 814, 1864, 2969, 3796, 4095, 3776, 2935,
1827, 785, 124, 44, 569, 1540, 2665, 3603, 4072, 3929,
3218, 2154, 1058, 260, 2, 362, 1231, 2346, 3371, 3997,
4034, 3470, 2478, 1355, 441, 13, 199, 943, 2021, 3107,
3873, 4087, 3686, 2789, 1668, 662, 75, 83, 685, 1698,
2817, 3704, 4090, 3859, 3080, 1990, 917, 186, 17, 462,
1386, 2510, 3494, 4041, 3986, 3345, 2312, 1198, 342, 1,
278, 1091, 2192, 3250, 3944, 4065, 3576, 2625, 1500, 540,
35, 139, 820, 1872, 2977, 3801, 4095, 3770, 2924, 1813,
773, 119, 47, 581, 1558, 2683, 3616, 4075, 3920, 3200,
2131, 1036, 248, 4, 378, 1257, 2375, 3394, 4006, 4026,
3447, 2445, 1323, 420, 9, 215, 975, 2060, 3141, 3891,
4083, 3660, 2748, 1625, 629, 63, 97, 721, 1747, 2863,
3733, 4093, 3834, 3034, 1936, 872, 163, 25, 499, 1441,
2567, 3536, 4054, 3965, 3296, 2248, 1140, 307, 0, 313,
1152, 2261, 3306, 3970, 4052, 3527, 2554, 1428, 490, 23,
169, 884, 1951, 3048, 3841, 4092, 3724, 2848, 1729, 707,
91, 68, 643, 1645, 2768, 3673, 4086, 3881, 3121, 2036,
955, 204, 12, 436, 1349, 2473, 3468, 4033, 3997, 3370,
2342, 1226, 358, 2, 266, 1069, 2169, 3233, 3937, 4068,
3588, 2640, 1513, 548, 37, 136, 813, 1865, 2972, 3799,
4095, 3770, 2924, 1812, 771, 117, 48, 586, 1566, 2692,
3623, 4076, 3915, 3187, 2114, 1021, 239, 5, 391, 1278,
2400, 3414, 4014, 4018, 3424, 2413, 1291, 399, 6, 232,
1009, 2101, 3176, 3909, 4078, 3631, 2704, 1577, 594, 51,
114, 763, 1802, 2915, 3766, 4095, 3803, 2978, 1872, 818,
138, 37, 545, 1510, 2638, 3586, 4068, 3937, 3232, 2168,
1068, 264, 2, 360, 1230, 2349, 3375, 3999, 4031, 3461,
2461, 1337, 428, 10, 211, 969, 2055, 3138, 3890, 4083,
3658, 2744, 1619, 624, 60, 100, 731, 1762, 2879, 3744,
4094, 3822, 3012, 1909, 848, 151, 30, 522, 1476, 2605,
3564, 4062, 3949, 3259, 2200, 1095, 280, 1, 344, 1204,
2320, 3354, 3991, 4037, 3480, 2487, 1361, 443, 13, 201,
949, 2032, 3119, 3881, 4085, 3671, 2764, 1639, 638, 65,
95, 718, 1745, 2864, 3735, 4093, 3830, 3025, 1923, 859,
156, 28, 513, 1465, 2594, 3556, 4061, 3953, 3266, 2209,
1103, 284, 1, 340, 1198, 2315, 3350, 3989, 4038, 3482,
2490, 1363, 444, 13, 200, 949, 2032, 3119, 3881, 4085,
3670, 2761, 1636, 635, 64, 96, 722, 1750, 2869, 3738,
4093, 3826, 3018, 1915, 852, 153, 30, 520, 1476, 2605,
3565, 4063, 3948, 3255, 2195, 1090, 276, 1, 349, 1213,
2332, 3363, 3995, 4034, 3469, 2471, 1344, 432, 11, 210,
968, 2054, 3139, 3891, 4083, 3655, 2738, 1610, 616, 58,
105, 743, 1778, 2896, 3755, 4094, 3811, 2991, 1883, 826,
140, 35, 543, 1508, 2638, 3588, 4069, 3934, 3225, 2158,
1057, 257, 3, 371, 1250, 2371, 3394, 4007, 4023, 3438,
2429, 1304, 405, 7, 230, 1006, 2100, 3178, 3911, 4077,
3625, 2692, 1563, 581, 47, 121, 783, 1829, 2943, 3783,
4095, 3783, 2942, 1829, 782, 121, 47, 582, 1564, 2693,
3625, 4077, 3911, 3176, 2098, 1004, 228, 7, 407, 1308,
2433, 3442, 4025, 4005, 3389, 2364, 1243, 366, 2, 262,
1066, 2169, 3235, 3939, 4067, 3579, 2624, 1494, 532, 32,
147, 841, 1903, 3009, 3822, 4094, 3741, 2873, 1752, 722,
96, 65, 638, 1642, 2769, 3676, 4086, 3875, 3107, 2015,
933, 191, 16, 460, 1388, 2517, 3504, 4046, 3978, 3322,
2277, 1162, 317, 0, 308, 1146, 2260, 3309, 3973, 4049,
3515, 2533, 1403, 470, 18, 185, 921, 2000, 3094, 3869,
4088, 3684, 2781, 1654, 647, 68, 93, 714, 1743, 2864,
3737, 4093, 3826, 3015, 1909, 846, 149, 32, 530, 1491,
2623, 3578, 4067, 3939, 3233, 2166, 1062, 259, 3, 370,
1250, 2373, 3397, 4009, 4022, 3431, 2419, 1293, 397, 6,
238, 1022, 2120, 3196, 3921, 4074, 3607, 2665, 1534, 559,
40, 133, 812, 1868, 2978, 3805, 4095, 3759, 2900, 1781,
743, 104, 59, 621, 1619, 2748, 3663, 4084, 3883, 3121,
2031, 946, 197, 14, 452, 1378, 2508, 3498, 4044, 3980,
3326, 2280, 1164, 318, 0, 308, 1148, 2263, 3312, 3974,
4048, 3510, 2525, 1394, 463, 16, 191, 933, 2016, 3109,
3877, 4086, 3671, 2761, 1632, 630, 61, 101, 735, 1771,
2891, 3754, 4094, 3809, 2985, 1874, 816, 135, 39, 557,
1531, 2663, 3607, 4074, 3921, 3195, 2118, 1019, 236, 6,
401, 1300, 2427, 3439, 4024, 4005, 3387, 2359, 1236, 361,
2, 269, 1080, 2187, 3252, 3948, 4062, 3560, 2595, 1462,
509, 26, 162, 875, 1947, 3050, 3846, 4091, 3711, 2822,
1695, 677, 78, 82, 688, 1710, 2835, 3719, 4092, 3839,
3037, 1932, 863, 156, 29, 519, 1478, 2611, 3571, 4065,
3941, 3237, 2169, 1063, 259, 3, 372, 1255, 2381, 3404,
4012, 4018, 3421, 2403, 1276, 385, 4, 249, 1044, 2147,
3220, 3933, 4069, 3585, 2631, 1497, 533, 32, 149, 848,
1914, 3021, 3830, 4093, 3729, 2850, 1725, 699, 86, 74,
667, 1684, 2811, 3705, 4090, 3850, 3057, 1955, 881, 164,
25, 506, 1459, 2593, 3559, 4062, 3948, 3250, 2185, 1077,
266, 2, 365, 1244, 2369, 3396, 4009, 4021, 3428, 2411,
1283, 390, 4, 246, 1039, 2142, 3216, 3932, 4069, 3587,
2632, 1498, 533, 32, 149, 849, 1916, 3023, 3832, 4093,
3726, 2845, 1719, 694, 84, 76, 674, 1692, 2820, 3711,
4091, 3844, 3046, 1942, 870, 159, 28, 516, 1475, 2609,
3571, 4065, 3941, 3235, 2165, 1059, 256, 3, 378, 1265,
2392, 3414, 4016, 4014, 3408, 2385, 1258, 373, 3, 260,
1066, 2173, 3242, 3944, 4064, 3565, 2600, 1465, 510, 26,
163, 879, 1953, 3057, 3850, 4090, 3703, 2807, 1678, 662,
72, 89, 707, 1736, 2862, 3737, 4093, 3821, 3004, 1894,
830, 140, 37, 550, 1524, 2659, 3606, 4074, 3919, 3190,
2109, 1010, 229, 7, 412, 1319, 2450, 3458, 4032, 3996,
3362, 2323, 1200, 338, 0, 292, 1124, 2239, 3295, 3968,
4051, 3518, 2533, 1399, 464, 16, 192, 939, 2027, 3120,
3884, 4084, 3657, 2736, 1603, 606, 53, 113, 768, 1816,
2935, 3782, 4095, 3779, 2930, 1810, 763, 111, 54, 611,
1609, 2742, 3661, 4085, 3881, 3114, 2019, 932, 189, 17,
470, 1408, 2543, 3525, 4053, 3964, 3286, 2226, 1112, 285,
1, 346, 1215, 2340, 3375, 4001, 4027, 3443, 2430, 1300,
399, 5, 240, 1031, 2135, 3212, 3930, 4069, 3586, 2629,
1494, 528, 30, 153, 859, 1931, 3039, 3841, 4091, 3713,
2821, 1692, 672, 75, 86, 700, 1729, 2857, 3735, 4093,
3822, 3005, 1892, 828, 139, 38, 555, 1532, 2668, 3613,
4075, 3914, 3177, 2093, 995, 220, 9, 425, 1341, 2475,
3477, 4038, 3987, 3338, 2292, 1170, 319, 0, 312, 1158,
2279, 3328, 3983, 4041, 3486, 2487, 1353, 433, 10, 215,
985, 2082, 3168, 3909, 4077, 3619, 2677, 1541, 561, 39,
136, 823, 1886, 3000, 3820, 4094, 3737, 2859, 1732, 701,
86, 75, 672, 1693, 2824, 3715, 4092, 3839, 3033, 1924,
853, 150, 32, 536, 1505, 2642, 3595, 4072, 3924, 3197,
2116, 1014, 231, 7, 413, 1323, 2456, 3463, 4034, 3992,
3350, 2307, 1183, 326, 0, 305, 1148, 2268, 3320, 3980,
4043, 3491, 2494, 1359, 436, 11, 214, 982, 2080, 3167,
3909, 4077, 3618, 2675, 1538, 559, 38, 138, 827, 1892,
3006, 3824, 4093, 3732, 2850, 1721, 693, 83, 79, 682,
1708, 2838, 3724, 4093, 3830, 3017, 1905, 837, 143, 36,
550, 1527, 2664, 3611, 4075, 3913, 3175, 2089, 990, 217,
10, 431, 1352, 2487, 3487, 4042, 3981, 3323, 2271, 1150,
306, 0, 326, 1184, 2308, 3352, 3993, 4033, 3460, 2451,
1317, 408, 6, 235, 1023, 2128, 3208, 3929, 4069, 3585,
2625, 1487, 522, 29, 159, 872, 1949, 3056, 3852, 4090,
3697, 2794, 1661, 647, 66, 97, 731, 1772, 2898, 3761,
4095, 3796, 2956, 1836, 781, 118, 51, 601, 1598, 2735,
3659, 4084, 3881, 3110, 2011, 923, 183, 19, 482, 1429,
2568, 3545, 4059, 3952, 3255, 2185, 1073, 262, 3, 376,
1266, 2398, 3421, 4020, 4008, 3391, 2357, 1228, 352, 1,
283, 1110, 2227, 3289, 3967, 4051, 3515, 2526, 1388, 454,
14, 202, 961, 2057, 3149, 3901, 4079, 3629, 2689, 1551,
567, 40, 135, 821, 1887, 3003, 3823, 4093, 3731, 2847,
1716, 688, 80, 81, 691, 1721, 2851, 3733, 4093, 3820,
2999, 1882, 817, 133, 41, 571, 1557, 2695, 3633, 4080,
3898, 3142, 2048, 954, 198, 15, 461, 1398, 2537, 3524,
4053, 3962, 3278, 2213, 1096, 274, 2, 362, 1245, 2376,
3406, 4014, 4014, 3404, 2375, 1244, 361, 2, 275, 1098,
2215, 3280, 3963, 4053, 3521, 2533, 1395, 458, 14, 200,
958, 2054, 3148, 3900, 4079, 3628, 2688, 1549, 564, 39,
137, 826, 1894, 3010, 3827, 4093, 3725, 2837, 1704, 678,
76, 86, 703, 1737, 2867, 3744, 4094, 3810, 2980, 1860,
799, 125, 46, 589, 1583, 2721, 3651, 4083, 3885, 3116,
2016, 926, 184, 19, 484, 1433, 2573, 3550, 4061, 3948,
3245, 2171, 1059, 253, 4, 388, 1288, 2422, 3441, 4027,
4000, 3366, 2324, 1196, 332, 0, 303, 1148, 2271, 3325,
3983, 4040, 3479, 2474, 1336, 420, 8, 229, 1014, 2120,
3204, 3928, 4069, 3583, 2620, 1479, 515, 26, 165, 888,
1970, 3077, 3864, 4088, 3678, 2762, 1624, 618, 56, 111,
768, 1822, 2946, 3791, 4095, 3763, 2899, 1770, 728, 95,
68, 656, 1676, 2812, 3710, 4091, 3839, 3030, 1916, 843,
144, 36, 553, 1534, 2674, 3620, 4078, 3905, 3155, 2061,
963, 202, 14, 458, 1395, 2535, 3524, 4054, 3961, 3273,
2205, 1087, 269, 2, 371, 1261, 2395, 3421, 4021, 4007,
3384, 2346, 1215, 343, 1, 294, 1132, 2255, 3313, 3978,
4043, 3488, 2485, 1346, 425, 9, 226, 1009, 2115, 3200,
3927, 4070, 3584, 2620, 1479, 514, 26, 166, 892, 1976,
3083, 3868, 4087, 3672, 2752, 1613, 609, 52, 116, 781,
1839, 2962, 3801, 4094, 3752, 2879, 1747, 709, 87, 75,
676, 1704, 2838, 3727, 4093, 3823, 3001, 1882, 815, 131,
43, 579, 1572, 2712, 3646, 4083, 3886, 3117, 2016, 924,
182, 20, 489, 1443, 2585, 3560, 4064, 3941, 3228, 2148,
1037, 240, 6, 407, 1318, 2457, 3468, 4037, 3987, 3333,
2279, 1153, 306, 0, 332, 1198, 2328, 3371, 4002, 4025,
3432, 2408, 1272, 377, 3, 265, 1082, 2199, 3270, 3960,
4054, 3524, 2534, 1392, 455, 13, 205, 971, 2072, 3165,
3910, 4076, 3609, 2656, 1514, 538, 32, 153, 865, 1945,
3057, 3855, 4089, 3688, 2775, 1636, 625, 57, 109, 765,
1820, 2946, 3792, 4095, 3759, 2890, 1759, 717, 90, 73,
671, 1698, 2834, 3725, 4093, 3824, 3001, 1881, 813, 130,
44, 583, 1578, 2720, 3652, 4084, 3881, 3107, 2003, 912,
176, 23, 501, 1461, 2604, 3574, 4068, 3932, 3208, 2123,
1014, 227, 8, 425, 1348, 2488, 3492, 4045, 3975, 3304,
2242, 1118, 285, 1, 355, 1238, 2372, 3406, 4016, 4012,
3395, 2358, 1224, 347, 1, 292, 1132, 2257, 3316, 3980,
4041, 3480, 2472, 1332, 415, 7, 236, 1030, 2141, 3224,
3939, 4064, 3560, 2584, 1440, 486, 19, 185, 932, 2027,
3129, 3893, 4081, 3634, 2693, 1550, 562, 38, 141, 839,
1915, 3032, 3841, 4091, 3703, 2798, 1659, 641, 62, 103,
751, 1804, 2933, 3785, 4095, 3766, 2900, 1768, 723, 92,
72, 668, 1695, 2832, 3725, 4093, 3823, 2998, 1876, 808,
127, 46, 590, 1589, 2731, 3660, 4085, 3874, 3092, 1984,
896, 167, 26, 516, 1485, 2629, 3592, 4072, 3920, 3182,
2091, 985, 212, 12, 448, 1384, 2527, 3521, 4054, 3960,
3268, 2195, 1076, 261, 3, 385, 1286, 2425, 3446, 4030,
3995, 3350, 2299, 1169, 313, 0, 327, 1191, 2324, 3370,
4002, 4024, 3428, 2400, 1262, 370, 2, 274, 1100, 2223,
3290, 3970, 4048, 3501, 2499, 1356, 429, 9, 226, 1012,
2123, 3209, 3933, 4067, 3569, 2596, 1451, 492, 20, 183,
928, 2024, 3127, 3892, 4081, 3633, 2690, 1545, 558, 37,
144, 848, 1926, 3043, 3848, 4090, 3693, 2781, 1639, 626,
57, 111, 771, 1830, 2958, 3800, 4094, 3748, 2869, 1733,
696, 81, 82, 698, 1737, 2872, 3750, 4094, 3799, 2954,
1826, 768, 109, 58, 629, 1645, 2786, 3696, 4090, 3845,
3037, 1919, 841, 141, 38, 564, 1555, 2700, 3640, 4082,
3887, 3116, 2010, 916, 176, 23, 503, 1467, 2613, 3582,
4070, 3925, 3191, 2100, 992, 215, 11, 446, 1382, 2527,
3521, 4054, 3958, 3264, 2188, 1069, 256, 4, 393, 1300,
2441, 3459, 4035, 3988, 3333, 2275, 1146, 299, 0, 343,
1220, 2356, 3396, 4013, 4014, 3399, 2360, 1224, 345, 0,
297, 1143, 2272, 3331, 3987, 4036, 3461, 2443, 1301, 393,
4, 255, 1068, 2188, 3264, 3959, 4054, 3520, 2524, 1379,
444, 11, 217, 997, 2106, 3197, 3928, 4069, 3576, 2603,
1457, 495, 21, 182, 928, 2025, 3130, 3894, 4080, 3628,
2680, 1534, 549, 34, 150, 862, 1946, 3061, 3859, 4088,
3677, 2755, 1611, 604, 50, 122, 799, 1868, 2993, 3821,
4093, 3723, 2827, 1687, 659, 68, 97, 739, 1791, 2924,
3782, 4095, 3766, 2897, 1762, 716, 88, 76, 682, 1717,
2855, 3740, 4094, 3805, 2965, 1836, 774, 111, 57, 627,
1644, 2787, 3698, 4091, 3842, 3030, 1909, 832, 136, 41,
576, 1573, 2719, 3654, 4085, 3875, 3092, 1981, 890, 163,
28, 527, 1504, 2651, 3609, 4076, 3906, 3152, 2051, 949,
192, 18, 481, 1437, 2584, 3563, 4066, 3934, 3210, 2121,
1008, 222, 10, 438, 1371, 2518, 3516, 4053, 3960, 3265,
2188, 1067, 254, 4, 397, 1308, 2452, 3469, 4039, 3983,
3318, 2255, 1126, 287, 1, 359, 1247, 2387, 3421, 4022,
4003, 3369, 2319, 1184, 321, 0, 323, 1188, 2324, 3372,
4004, 4021, 3417, 2382, 1242, 356, 1, 290, 1131, 2261,
3324, 3985, 4037, 3463, 2444, 1300, 391, 4, 259, 1077,
2200, 3275, 3964, 4050, 3506, 2503, 1357, 428, 8, 230,
1024, 2140, 3227, 3942, 4062, 3548, 2561, 1413, 465, 14,
204, 973, 2081, 3178, 3919, 4072, 3587, 2618, 1469, 502,
22, 179, 925, 2023, 3130, 3895, 4079, 3624, 2672, 1524,
540, 31, 157, 878, 1967, 3082, 3871, 4086, 3659, 2725,
1577, 578, 41, 137, 833, 1913, 3034, 3845, 4090, 3692,
2776, 1630, 616, 53, 118, 791, 1859, 2987, 3819, 4093,
3723, 2825, 1682, 654, 65, 101, 750, 1808, 2941, 3793,
4095, 3752, 2872, 1732, 692, 79, 86, 711, 1757, 2895,
3766, 4095, 3779, 2918, 1782, 730, 93, 72, 674, 1709,
2850, 3739, 4094, 3805, 2961, 1830, 767, 108, 60, 639,
1661, 2806, 3711, 4092, 3828, 3003, 1877, 804, 124, 49,
605, 1616, 2762, 3684, 4089, 3851, 3044, 1923, 841, 140,
40, 573, 1572, 2720, 3656, 4085, 3872, 3082, 1967, 877,
156, 32, 543, 1529, 2679, 3629, 4081, 3891, 3120, 2010,
912, 173, 25, 515, 1488, 2638, 3602, 4075, 3909, 3155,
2052, 947, 190, 19, 488, 1449, 2599, 3575, 4069, 3925,
3189, 2092, 981, 207, 14, 462, 1411, 2561, 3548, 4062,
3940, 3221, 2131, 1015, 224, 10, 438, 1375, 2524, 3522,
4055, 3955, 3252, 2169, 1047, 242, 6, 415, 1340, 2488,
3497, 4048, 3968, 3281, 2205, 1079, 259, 4, 394, 1306,
2453, 3471, 4040, 3979, 3309, 2240, 1110, 276, 2, 374,
1275, 2419, 3447, 4032, 3990, 3335, 2273, 1140, 293, 1,
355, 1244, 2387, 3423, 4024, 4000, 3360, 2305, 1168, 310,
0, 338, 1215, 2356, 3399, 4015, 4009, 3383, 2335, 1196,
326, 0, 321, 1188, 2327, 3377, 4007, 4018, 3406, 2364,
1223, 342, 0, 306, 1162, 2298, 3355, 3999, 4025, 3427,
2392, 1248, 357, 1, 292, 1137, 2271, 3334, 3990, 4032,
3446, 2418, 1273, 372, 2, 278, 1114, 2245, 3314, 3982,
4038, 3465, 2443, 1296, 387, 3, 266, 1092, 2221, 3295,
3974, 4044, 3482, 2466, 1318, 401, 4, 254, 1072, 2198,
3276, 3966, 4049, 3498, 2488, 1339, 414, 6, 244, 1053,
2176, 3259, 3958, 4053, 3513, 2509, 1359, 427, 8, 234,
1035, 2156, 3242, 3951, 4057, 3527, 2528, 1378, 439, 10,
225, 1018, 2137, 3227, 3944, 4060, 3540, 2546, 1395, 450,
11, 217, 1003, 2119, 3213, 3937, 4064, 3551, 2563, 1411,
461, 13, 210, 989, 2103, 3199, 3931, 4066, 3562, 2578,
1426, 471, 15, 203, 976, 2088, 3187, 3925, 4069, 3572,
2592, 1439, 480, 17, 197, 964, 2074, 3176, 3920, 4071,
3580, 2604, 1452, 488, 18, 192, 954, 2062, 3166, 3915,
4073, 3588, 2615, 1463, 495, 20, 187, 944, 2051, 3157,
3911, 4074, 3595, 2625, 1472, 502, 21, 183, 936, 2042,
3149, 3907, 4075, 3601, 2634, 1481, 507, 23, 180, 929,
2034, 3142, 3904, 4076, 3606, 2641, 1488, 512, 24, 177,
924, 2027, 3137, 3901, 4077, 3610, 2647, 1493, 516, 24,
175, 919, 2022, 3132, 3899, 4078, 3613, 2651, 1498, 519,
25, 173, 916, 2018, 3129, 3897, 4078, 3615, 2654, 1501,
521, 26, 172, 914, 2015, 3127, 3896, 4079, 3616, 2656,
1503, 522, 26, 171, 912, 2014, 3126, 3896, 4079, 3617,
2657, 1503, 522, 26, 171, 912, 2014, 3126, 3896, 4079,
3616, 2656, 1502, 522, 26, 172, 914, 2015, 3128, 3897,
4078, 3615, 2654, 1500, 520, 25, 173, 916, 2018, 3130,
3898, 4078, 3613, 2651, 1497, 518, 25, 174, 919, 2023,
3134, 3900, 4077, 3610, 2646, 1492, 514, 24, 177, 924,
2028, 3139, 3902, 4077, 3606, 2640, 1486, 510, 23, 179,
930, 2035, 3145, 3905, 4076, 3601, 2633, 1478, 505, 22,
183, 936, 2043, 3152, 3909, 4074, 3595, 2624, 1470, 499,
20, 187, 945, 2053, 3160, 3913, 4073, 3589, 2614, 1460,
492, 19, 191, 954, 2064, 3169, 3918, 4071, 3581, 2603,
1448, 484, 17, 196, 964, 2077, 3180, 3923, 4069, 3572,
2590, 1436, 476, 16, 202, 976, 2091, 3192, 3929, 4067,
3563, 2576, 1422, 466, 14, 209, 989, 2106, 3204, 3935,
4064, 3552, 2561, 1407, 456, 12, 216, 1003, 2122, 3218,
3941, 4061, 3540, 2544, 1390, 445, 10, 224, 1018, 2140,
3233, 3948, 4058, 3528, 2526, 1372, 433, 8, 233, 1035,
2160, 3249, 3955, 4054, 3514, 2507, 1354, 421, 7, 242,
1053, 2180, 3265, 3963, 4050, 3499, 2486, 1333, 408, 5,
253, 1072, 2202, 3283, 3970, 4045, 3483, 2464, 1312, 394,
4, 264, 1093, 2226, 3302, 3978, 4040, 3466, 2440, 1290,
380, 2, 276, 1114, 2250, 3321, 3987, 4034, 3448, 2415,
1266, 365, 1, 289, 1138, 2276, 3342, 3995, 4027, 3428,
2389, 1241, 350, 0, 303, 1162, 2304, 3363, 4003, 4020,
3407, 2361, 1215, 334, 0, 319, 1188, 2332, 3385, 4012,
4012, 3385, 2332, 1188, 318, 0, 335, 1216, 2362, 3408,
4020, 4003, 3362, 2301, 1160, 302, 1, 352, 1245, 2393,
3432, 4028, 3993, 3337, 2269, 1131, 285, 2, 371, 1275,
2426, 3456, 4037, 3982, 3311, 2236, 1101, 268, 3, 391,
1307, 2460, 3481, 4044, 3971, 3283, 2201, 1070, 251, 5,
412, 1340, 2495, 3506, 4052, 3958, 3254, 2165, 1038, 234,
8, 434, 1375, 2531, 3532, 4059, 3944, 3223, 2127, 1005,
216, 12, 458, 1411, 2568, 3558, 4066, 3929, 3191, 2088,
972, 199, 17, 483, 1449, 2607, 3585, 4073, 3913, 3158,
2047, 937, 182, 22, 510, 1489, 2646, 3612, 4078, 3896,
3122, 2006, 902, 165, 29, 538, 1530, 2687, 3639, 4083,
3877, 3085, 1962, 867, 148, 37, 568, 1572, 2728, 3667,
4088, 3856, 3047, 1918, 830, 132, 46, 600, 1616, 2771,
3694, 4091, 3834, 3007, 1872, 794, 116, 56, 633, 1662,
2814, 3722, 4093, 3811, 2965, 1825, 757, 101, 68, 668,
1709, 2859, 3749, 4095, 3786, 2921, 1777, 719, 86, 81,
705, 1758, 2904, 3776, 4095, 3759, 2875, 1727, 681, 72,
96, 743, 1808, 2950, 3803, 4094, 3730, 2828, 1676, 643,
59, 112, 784, 1860, 2996, 3829, 4092, 3700, 2779, 1625,
605, 47, 130, 826, 1913, 3043, 3855, 4088, 3667, 2729,
1572, 567, 36, 150, 870, 1968, 3091, 3880, 4082, 3633,
2676, 1518, 529, 27, 171, 917, 2024, 3139, 3905, 4075,
3597, 2622, 1463, 492, 18, 195, 965, 2082, 3187, 3928,
4066, 3558, 2566, 1407, 454, 11, 221, 1015, 2141, 3236,
3951, 4056, 3517, 2508, 1351, 417, 6, 249, 1068, 2201,
3285, 3972, 4043, 3474, 2448, 1294, 381, 2, 279, 1122,
2262, 3333, 3992, 4028, 3429, 2387, 1236, 346, 0, 311,
1179, 2325, 3382, 4011, 4011, 3382, 2324, 1178, 311, 0,
346, 1237, 2388, 3430, 4029, 3992, 3332, 2260, 1120, 277,
2, 383, 1298, 2453, 3478, 4044, 3970, 3279, 2194, 1061,
245, 7, 423, 1361, 2519, 3525, 4058, 3946, 3225, 2126,
1002, 213, 13, 466, 1426, 2585, 3572, 4070, 3919, 3168,
2057, 943, 184, 22, 511, 1492, 2652, 3618, 4080, 3889,
3108, 1986, 884, 155, 34, 559, 1561, 2720, 3663, 4087,
3857, 3046, 1915, 826, 129, 48, 609, 1632, 2788, 3706,
4092, 3822, 2982, 1842, 768, 105, 65, 663, 1704, 2856,
3749, 4095, 3783, 2915, 1767, 710, 82, 86, 719, 1779,
2925, 3790, 4095, 3742, 2845, 1692, 654, 62, 109, 778,
1855, 2994, 3829, 4091, 3698, 2774, 1617, 598, 45, 135,
840, 1933, 3062, 3866, 4085, 3650, 2700, 1540, 543, 30,
165, 905, 2012, 3131, 3901, 4076, 3599, 2623, 1463, 490,
18, 198, 972, 2093, 3198, 3934, 4063, 3545, 2545, 1385,
438, 9, 234, 1043, 2175, 3265, 3965, 4047, 3487, 2464,
1307, 388, 3, 275, 1116, 2258, 3331, 3992, 4028, 3427,
2382, 1230, 340, 0, 318, 1193, 2342, 3396, 4017, 4004,
3362, 2297, 1152, 295, 1, 366, 1272, 2427, 3460, 4039,
3977, 3295, 2211, 1074, 251, 6, 417, 1353, 2513, 3522,
4058, 3946, 3224, 2123, 998, 210, 14, 472, 1437, 2599,
3583, 4073, 3911, 3149, 2033, 922, 173, 27, 531, 1524,
2685, 3641, 4084, 3871, 3072, 1942, 847, 138, 43, 594,
1613, 2772, 3697, 4091, 3828, 2991, 1850, 773, 106, 64,
661, 1704, 2858, 3750, 4095, 3780, 2907, 1757, 701, 79,
90, 732, 1797, 2944, 3801, 4094, 3728, 2820, 1664, 631,
55, 120, 806, 1893, 3029, 3849, 4088, 3671, 2730, 1569,
563, 35, 155, 885, 1990, 3113, 3893, 4078, 3609, 2637,
1475, 497, 19, 194, 967, 2088, 3196, 3933, 4063, 3544,
2542, 1381, 434, 8, 239, 1053, 2188, 3277, 3970, 4044,
3474, 2444, 1286, 374, 2, 288, 1142, 2288, 3356, 4003,
4018, 3399, 2344, 1193, 318, 0, 343, 1235, 2390, 3434,
4031, 3988, 3320, 2241, 1100, 264, 4, 402, 1332, 2492,
3508, 4054, 3952, 3236, 2137, 1009, 215, 13, 467, 1431,
2594, 3580, 4072, 3911, 3149, 2031, 919, 170, 28, 537,
1533, 2696, 3649, 4085, 3864, 3057, 1924, 831, 130, 48,
612, 1638, 2797, 3714, 4093, 3812, 2961, 1816, 745, 95,
75, 691, 1746, 2898, 3775, 4095, 3754, 2862, 1707, 662,
64, 107, 776, 1856, 2997, 3832, 4091, 3690, 2759, 1598,
582, 40, 145, 866, 1967, 3095, 3884, 4081, 3620, 2652,
1488, 505, 21, 190, 960, 2081, 3191, 3932, 4064, 3545,
2542, 1380, 433, 8, 241, 1059, 2195, 3284, 3974, 4041,
3464, 2430, 1272, 364, 1, 299, 1162, 2311, 3375, 4010,
4011, 3378, 2314, 1165, 301, 1, 362, 1269, 2427, 3462,
4040, 3974, 3286, 2197, 1060, 242, 7, 433, 1380, 2543,
3546, 4064, 3931, 3189, 2078, 957, 188, 21, 509, 1494,
2658, 3625, 4082, 3880, 3087, 1957, 856, 141, 42, 592,
1612, 2773, 3700, 4092, 3823, 2980, 1835, 759, 100, 70,
681, 1733, 2887, 3769, 4095, 3758, 2868, 1713, 665, 65,
106, 775, 1856, 2999, 3834, 4091, 3687, 2752, 1590, 576,
38, 150, 876, 1981, 3108, 3892, 4078, 3608, 2633, 1468,
491, 17, 201, 982, 2108, 3215, 3943, 4058, 3523, 2509,
1347, 411, 5, 260, 1094, 2236, 3318, 3988, 4030, 3430,
2383, 1227, 336, 0, 326, 1210, 2365, 3417, 4026, 3994,
3332, 2254, 1109, 268, 4, 401, 1331, 2494, 3512, 4055,
3949, 3227, 2123, 994, 207, 16, 483, 1456, 2622, 3601,
4077, 3896, 3116, 1990, 882, 152, 36, 572, 1586, 2749,
3685, 4090, 3834, 2999, 1855, 774, 106, 66, 669, 1718,
2874, 3762, 4095, 3764, 2877, 1721, 671, 67, 105, 772,
1853, 2997, 3833, 4091, 3686, 2750, 1586, 572, 36, 152,
883, 1991, 3117, 3897, 4077, 3599, 2618, 1453, 480, 15,
209, 1000, 2130, 3233, 3952, 4054, 3504, 2483, 1320, 393,
3, 275, 1123, 2270, 3345, 3999, 4021, 3402, 2344, 1190,
314, 0, 351, 1251, 2410, 3452, 4037, 3978, 3292, 2203,
1063, 242, 8, 435, 1385, 2550, 3552, 4066, 3925, 3175,
2059, 939, 179, 25, 527, 1523, 2689, 3647, 4085, 3863,
3051, 1914, 820, 124, 53, 629, 1665, 2826, 3734, 4094,
3791, 2921, 1768, 706, 79, 91, 738, 1811, 2960, 3813,
4093, 3709, 2785, 1622, 597, 43, 140, 856, 1959, 3091,
3884, 4080, 3617, 2644, 1477, 496, 18, 199, 981, 2109,
3217, 3945, 4057, 3516, 2499, 1334, 402, 4, 269, 1113,
2260, 3338, 3997, 4023, 3407, 2349, 1194, 316, 0, 350,
1251, 2411, 3453, 4038, 3977, 3288, 2197, 1057, 239, 8,
440, 1395, 2561, 3561, 4069, 3919, 3162, 2042, 924, 171,
28, 541, 1544, 2710, 3661, 4088, 3851, 3028, 1887, 797,
114, 60, 651, 1697, 2856, 3753, 4095, 3771, 2887, 1730,
676, 68, 104, 771, 1854, 2999, 3835, 4090, 3681, 2740,
1575, 563, 33, 159, 899, 2013, 3137, 3908, 4073, 3579,
2588, 1420, 457, 11, 227, 1036, 2173, 3270, 3969, 4043,
3468, 2431, 1269, 360, 1, 307, 1180, 2335, 3396, 4019,
4000, 3346, 2270, 1121, 273, 3, 398, 1330, 2495, 3515,
4057, 3945, 3215, 2106, 977, 197, 19, 501, 1487, 2655,
3625, 4082, 3877, 3076, 1940, 840, 132, 48, 615, 1648,
2811, 3726, 4094, 3796, 2929, 1774, 709, 80, 91, 739,
1814, 2964, 3816, 4092, 3703, 2774, 1609, 586, 40, 147,
873, 1982, 3112, 3895, 4077, 3597, 2613, 1445, 473, 13,
217, 1017, 2152, 3254, 3962, 4047, 3481, 2447, 1284, 369,
1, 300, 1168, 2323, 3388, 4016, 4003, 3353, 2277, 1127,
276, 3, 396, 1327, 2493, 3514, 4057, 3945, 3215, 2104,
975, 195, 20, 505, 1493, 2662, 3630, 4083, 3872, 3067,
1929, 830, 128, 51, 626, 1664, 2827, 3736, 4094, 3786,
2910, 1754, 693, 73, 98, 758, 1839, 2987, 3830, 4091,
3686, 2746, 1579, 565, 34, 160, 901, 2017, 3142, 3911,
4072, 3572, 2576, 1407, 447, 9, 236, 1054, 2196, 3290,
3978, 4037, 3446, 2400, 1238, 341, 0, 327, 1216, 2376,
3429, 4031, 3986, 3308, 2219, 1074, 247, 7, 433, 1386,
2554, 3558, 4068, 3919, 3159, 2037, 917, 167, 30, 552,
1562, 2730, 3676, 4090, 3837, 3000, 1852, 768, 102, 70,
684, 1744, 2902, 3781, 4095, 3740, 2832, 1668, 629, 52,
127, 829, 1929, 3068, 3873, 4083, 3628, 2656, 1486, 500,
18, 200, 985, 2117, 3226, 3951, 4053, 3501, 2474, 1308,
383, 2, 289, 1151, 2305, 3376, 4012, 4007, 3362, 2287,
1134, 280, 3, 394, 1325, 2493, 3515, 4057, 3943, 3210,
2096, 967, 191, 21, 514, 1508, 2678, 3642, 4085, 3862,
3046, 1904, 808, 118, 58, 648, 1696, 2859, 3756, 4095,
3765, 2873, 1711, 660, 62, 113, 797, 1889, 3033, 3856,
4086, 3651, 2691, 1521, 523, 23, 186, 957, 2085, 3200,
3939, 4059, 3521, 2502, 1333, 399, 3, 276, 1129, 2282,
3358, 4006, 4013, 3377, 2307, 1151, 289, 2, 384, 1310,
2478, 3504, 4055, 3948, 3220, 2108, 977, 195, 20, 508,
1500, 2671, 3638, 4085, 3865, 3050, 1908, 811, 119, 58,
648, 1696, 2859, 3757, 4095, 3763, 2870, 1707, 656, 60,
115, 802, 1897, 3041, 3860, 4086, 3644, 2680, 1509, 514,
21, 192, 970, 2101, 3214, 3946, 4056, 3508, 2482, 1314,
386, 2, 288, 1150, 2306, 3377, 4013, 4006, 3357, 2279,
1126, 274, 3, 402, 1339, 2509, 3527, 4061, 3935, 3191,
2072, 946, 180, 26, 534, 1538, 2709, 3663, 4088, 3845,
3012, 1864, 776, 104, 69, 682, 1743, 2903, 3783, 4095,
3735, 2822, 1656, 618, 48, 134, 846, 1953, 3090, 3886,
4079, 3607, 2623, 1451, 474, 13, 219, 1024, 2165, 3267,
3969, 4042, 3461, 2416, 1251, 347, 0, 325, 1214, 2377,
3431, 4032, 3983, 3298, 2204, 1058, 237, 9, 450, 1414,
2587, 3582, 4074, 3902, 3121, 1989, 875, 146, 41, 594,
1623, 2792, 3716, 4094, 3800, 2931, 1773, 704, 77, 95,
754, 1838, 2990, 3833, 4090, 3677, 2730, 1558, 548, 29,
172, 931, 2056, 3178, 3930, 4063, 3535, 2519, 1348, 407,
4, 271, 1122, 2276, 3355, 4005, 4013, 3376, 2302, 1145,
284, 2, 391, 1324, 2494, 3518, 4059, 3939, 3199, 2081,
951, 182, 25, 532, 1536, 2709, 3664, 4089, 3843, 3008,
1857, 769, 101, 72, 691, 1756, 2917, 3792, 4094, 3724,
2804, 1635, 602, 43, 143, 868, 1981, 3115, 3899, 4075,
3585, 2590, 1416, 451, 9, 237, 1060, 2207, 3302, 3985,
4031, 3425, 2367, 1204, 318, 0, 355, 1266, 2434, 3474,
4046, 3962, 3248, 2140, 1001, 207, 17, 494, 1482, 2656,
3630, 4083, 3868, 3054, 1910, 810, 118, 59, 654, 1708,
2872, 3766, 4095, 3751, 2847, 1680, 634, 53, 127, 833,
1938, 3079, 3881, 4080, 3611, 2627, 1453, 475, 13, 220,
1029, 2172, 3274, 3973, 4039, 3450, 2400, 1234, 335, 0,
338, 1239, 2405, 3454, 4040, 3971, 3269, 2166, 1023, 218,
14, 479, 1460, 2635, 3616, 4081, 3877, 3071, 1929, 825,
124, 55, 642, 1692, 2858, 3758, 4095, 3758, 2859, 1692,
642, 55, 124, 825, 1929, 3072, 3877, 4081, 3615, 2634,
1459, 478, 14, 219, 1026, 2169, 3272, 3973, 4039, 3450,
2399, 1233, 334, 0, 340, 1242, 2409, 3457, 4041, 3969,
3264, 2159, 1016, 214, 15, 485, 1470, 2645, 3623, 4082,
3872, 3060, 1915, 814, 119, 59, 654, 1708, 2874, 3768,
4095, 3748, 2840, 1672, 627, 50, 131, 843, 1952, 3093,
3888, 4078, 3599, 2608, 1433, 460, 11, 232, 1051, 2199,
3297, 3983, 4031, 3426, 2366, 1202, 316, 0, 360, 1275,
2445, 3484, 4050, 3955, 3232, 2119, 982, 196, 20, 513,
1512, 2687, 3651, 4087, 3850, 3020, 1868, 776, 103, 71,
690, 1757, 2920, 3795, 4094, 3718, 2791, 1620, 589, 39,
151, 889, 2009, 3141, 3913, 4070, 3559, 2551, 1376, 423,
5, 261, 1107, 2262, 3347, 4003, 4014, 3377, 2301, 1141,
281, 3, 400, 1340, 2514, 3534, 4063, 3928, 3172, 2046,
919, 165, 32, 564, 1585, 2759, 3698, 4092, 3812, 2949,
1789, 714, 79, 94, 753, 1840, 2995, 3837, 4089, 3667,
2711, 1535, 529, 24, 187, 964, 2098, 3216, 3949, 4053,
3496, 2460, 1288, 367, 1, 310, 1193, 2358, 3420, 4030,
3985, 3300, 2202, 1053, 232, 11, 462, 1437, 2613, 3603,
4079, 3884, 3083, 1939, 832, 126, 54, 641, 1692, 2861,
3761, 4095, 3753, 2847, 1678, 630, 51, 131, 844, 1955,
3096, 3891, 4077, 3592, 2597, 1421, 451, 9, 240, 1069,
2221, 3315, 3991, 4025, 3405, 2337, 1173, 298, 1, 381,
1311, 2485, 3514, 4058, 3938, 3193, 2070, 939, 174, 29,
551, 1567, 2743, 3688, 4092, 3819, 2961, 1801, 722, 82,
91, 747, 1833, 2990, 3835, 4089, 3669, 2712, 1535, 528,
23, 188, 967, 2104, 3222, 3951, 4051, 3489, 2449, 1277,
360, 0, 318, 1208, 2375, 3434, 4035, 3978, 3283, 2179,
1032, 220, 14, 480, 1464, 2642, 3623, 4083, 3869, 3053,
1904, 803, 113, 63, 670, 1733, 2899, 3784, 4094, 3727,
2805, 1631, 596, 40, 149, 887, 2008, 3142, 3914, 4069,
3554, 2541, 1364, 414, 4, 271, 1125, 2285, 3366, 4011,
4006, 3352, 2267, 1109, 261, 5, 425, 1382, 2560, 3567,
4072, 3906, 3125, 1987, 869, 142, 45, 611, 1653, 2826,
3741, 4095, 3771, 2877, 1707, 651, 57, 122, 825, 1933,
3078, 3883, 4079, 3603, 2611, 1433, 458, 10, 237, 1063,
2216, 3313, 3991, 4025, 3404, 2334, 1169, 295, 2, 386,
1321, 2497, 3524, 4061, 3932, 3178, 2049, 920, 165, 33,
569, 1595, 2771, 3707, 4093, 3801, 2928, 1763, 693, 71,
104, 782, 1879, 3032, 3859, 4085, 3636, 2661, 1482, 491,
15, 214, 1020, 2167, 3274, 3975, 4036, 3439, 2379, 1210,
319, 0, 361, 1280, 2454, 3494, 4053, 3948, 3212, 2090,
954, 181, 26, 542, 1557, 2735, 3685, 4091, 3820, 2961,
1799, 719, 80, 94, 755, 1846, 3003, 3843, 4088, 3656,
2690, 1511, 510, 19, 201, 996, 2139, 3252, 3966, 4043,
3457, 2405, 1233, 332, 0, 348, 1259, 2432, 3478, 4049,
3955, 3229, 2110, 971, 189, 23, 530, 1540, 2719, 3675,
4090, 3828, 2975, 1814, 730, 84, 90, 745, 1833, 2992,
3838, 4089, 3662, 2699, 1520, 516, 20, 198, 989, 2132,
3247, 3963, 4044, 3461, 2409, 1237, 334, 0, 346, 1257,
2431, 3477, 4049, 3956, 3229, 2110, 970, 188, 24, 532,
1543, 2722, 3677, 4091, 3825, 2970, 1807, 725, 82, 92,
752, 1842, 3000, 3842, 4088, 3656, 2689, 1509, 508, 19,
203, 1001, 2146, 3259, 3969, 4040, 3450, 2393, 1222, 325,
0, 356, 1275, 2450, 3491, 4053, 3948, 3211, 2088, 951,
179, 27, 548, 1567, 2745, 3692, 4092, 3812, 2946, 1781,
704, 74, 101, 774, 1871, 3027, 3857, 4085, 3636, 2659,
1478, 487, 14, 218, 1031, 2181, 3287, 3981, 4032, 3423,
2356, 1187, 304, 1, 379, 1311, 2489, 3520, 4061, 3932,
3176, 2045, 915, 161, 35, 579, 1611, 2788, 3719, 4094,
3788, 2903, 1733, 668, 62, 116, 814, 1921, 3071, 3880,
4079, 3602, 2608, 1427, 452, 9, 244, 1079, 2237, 3331,
3999, 4017, 3379, 2298, 1134, 274, 4, 414, 1368, 2548,
3562, 4071, 3907, 3123, 1982, 862, 137, 48, 625, 1675,
2850, 3757, 4095, 3751, 2840, 1665, 617, 46, 141, 871,
1993, 3133, 3911, 4069, 3554, 2537, 1357, 407, 3, 281,
1147, 2313, 3391, 4021, 3994, 3319, 2220, 1064, 235, 11,
465, 1446, 2628, 3616, 4082, 3870, 3051, 1897, 794, 108,
68, 688, 1761, 2929, 3804, 4093, 3700, 2757, 1577, 554,
29, 176, 947, 2085, 3210, 3948, 4052, 3488, 2444, 1268,
351, 0, 332, 1235, 2409, 3463, 4045, 3961, 3239, 2120,
977, 190, 23, 531, 1545, 2726, 3681, 4091, 3820, 2958,
1792, 712, 77, 99, 771, 1868, 3026, 3857, 4085, 3633,
2653, 1470, 480, 13, 225, 1044, 2198, 3302, 3988, 4026,
3404, 2330, 1162, 289, 2, 398, 1345, 2525, 3547, 4068,
3915, 3139, 1999, 875, 142, 45, 616, 1665, 2841, 3753,
4095, 3754, 2844, 1668, 618, 46, 142, 873, 1997, 3138,
3914, 4068, 3547, 2526, 1345, 398, 2, 289, 1163, 2332,
3406, 4027, 3987, 3299, 2194, 1040, 222, 14, 484, 1477,
2660, 3638, 4086, 3853, 3017, 1857, 761, 95, 80, 723,
1808, 2973, 3829, 4090, 3669, 2706, 1524, 516, 20, 201,
999, 2147, 3262, 3971, 4038, 3440, 2377, 1204, 312, 1,
373, 1304, 2484, 3518, 4061, 3931, 3172, 2037, 906, 156,
38, 592, 1632, 2811, 3735, 4095, 3771, 2871, 1696, 638,
52, 132, 853, 1973, 3117, 3905, 4071, 3561, 2546, 1363,
409, 3, 280, 1148, 2317, 3395, 4023, 3991, 3309, 2205,
1049, 226, 13, 480, 1470, 2654, 3635, 4085, 3854, 3019,
1859, 762, 95, 81, 724, 1811, 2976, 3831, 4090, 3665,
2700, 1516, 510, 19, 205, 1008, 2159, 3272, 3976, 4034,
3429, 2361, 1188, 303, 1, 384, 1324, 2505, 3534, 4065,
3921, 3151, 2011, 884, 146, 44, 613, 1661, 2839, 3752,
4095, 3752, 2839, 1661, 612, 44, 146, 884, 2012, 3152,
3922, 4065, 3532, 2503, 1322, 383, 1, 305, 1191, 2365,
3432, 4036, 3974, 3267, 2152, 1002, 202, 20, 516, 1525,
2709, 3672, 4090, 3825, 2964, 1797, 713, 76, 100, 775,
1877, 3035, 3863, 4083, 3621, 2632, 1448, 464, 10, 239,
1074, 2234, 3333, 4000, 4014, 3369, 2281, 1115, 262, 6,
434, 1403, 2588, 3591, 4078, 3884, 3075, 1922, 811, 114,
65, 680, 1754, 2926, 3803, 4093, 3697, 2748, 1565, 543,
26, 186, 970, 2115, 3237, 3961, 4044, 3457, 2398, 1222,
322, 0, 365, 1294, 2475, 3513, 4060, 3932, 3172, 2036,
903, 154, 40, 598, 1643, 2823, 3743, 4095, 3760, 2851,
1672, 620, 46, 143, 879, 2007, 3148, 3921, 4065, 3533,
2502, 1320, 381, 1, 308, 1198, 2373, 3439, 4038, 3970,
3257, 2138, 989, 195, 22, 529, 1545, 2730, 3685, 4092,
3812, 2941, 1770, 692, 68, 109, 801, 1910, 3066, 3880,
4079, 3597, 2594, 1409, 437, 6, 260, 1114, 2281, 3370,
4015, 3999, 3329, 2229, 1067, 235, 11, 470, 1459, 2645,
3631, 4085, 3855, 3018, 1856, 758, 92, 83, 734, 1825,
2991, 3841, 4088, 3650, 2674, 1488, 490, 14, 222, 1042,
2200, 3307, 3991, 4022, 3390, 2308, 1137, 273, 4, 422,
1385, 2571, 3581, 4076, 3890, 3084, 1931, 817, 116, 64,
678, 1753, 2926, 3804, 4093, 3694, 2742, 1557, 536, 24,
191, 982, 2131, 3252, 3968, 4039, 3441, 2374, 1198, 307,
1, 383, 1324, 2508, 3537, 4066, 3917, 3139, 1994, 868,
137, 49, 633, 1691, 2870, 3772, 4095, 3729, 2798, 1615,
577, 34, 167, 933, 2073, 3205, 3948, 4052, 3482, 2430,
1249, 337, 0, 351, 1273, 2455, 3500, 4057, 3938, 3183,
2047, 910, 157, 39, 596, 1642, 2824, 3745, 4095, 3756,
2843, 1662, 611, 43, 149, 894, 2027, 3167, 3930, 4060,
3513, 2473, 1290, 362, 0, 328, 1234, 2414, 3470, 4048,
3953, 3217, 2087, 944, 172, 31, 569, 1604, 2789, 3723,
4094, 3777, 2877, 1698, 637, 50, 136, 865, 1992, 3138,
3917, 4066, 3536, 2505, 1320, 380, 1, 311, 1205, 2383,
3448, 4042, 3964, 3241, 2116, 968, 184, 27, 550, 1578,
2764, 3708, 4094, 3790, 2900, 1722, 655, 56, 128, 846,
1969, 3119, 3907, 4070, 3551, 2526, 1340, 392, 2, 300,
1188, 2365, 3435, 4037, 3970, 3255, 2133, 982, 191, 24,
539, 1563, 2749, 3700, 4093, 3797, 2912, 1736, 664, 59,
123, 836, 1958, 3109, 3903, 4071, 3558, 2536, 1349, 397,
2, 296, 1181, 2357, 3429, 4036, 3972, 3260, 2139, 987,
193, 24, 537, 1559, 2746, 3698, 4093, 3799, 2914, 1737,
665, 59, 123, 836, 1958, 3109, 3903, 4071, 3557, 2534,
1346, 396, 2, 298, 1184, 2361, 3433, 4037, 3970, 3255,
2133, 982, 190, 25, 542, 1567, 2754, 3703, 4093, 3794,
2905, 1728, 658, 56, 127, 845, 1969, 3120, 3908, 4069,
3548, 2521, 1333, 387, 1, 306, 1198, 2377, 3444, 4041,
3965, 3242, 2115, 966, 182, 28, 554, 1585, 2772, 3714,
4094, 3783, 2886, 1706, 642, 51, 135, 864, 1993, 3140,
3918, 4065, 3531, 2496, 1310, 372, 1, 320, 1222, 2403,
3464, 4047, 3954, 3218, 2086, 942, 170, 33, 576, 1615,
2801, 3733, 4095, 3766, 2856, 1674, 617, 44, 147, 892,
2027, 3169, 3932, 4059, 3506, 2460, 1275, 351, 0, 341,
1258, 2442, 3493, 4055, 3940, 3185, 2046, 907, 154, 41,
605, 1657, 2841, 3757, 4095, 3741, 2815, 1630, 586, 35,
165, 931, 2074, 3208, 3950, 4049, 3472, 2413, 1230, 324,
0, 369, 1304, 2491, 3528, 4065, 3919, 3141, 1993, 864,
135, 52, 644, 1710, 2891, 3786, 4094, 3710, 2763, 1575,
547, 25, 188, 979, 2132, 3256, 3971, 4036, 3428, 2354,
1176, 292, 2, 404, 1362, 2551, 3570, 4074, 3893, 3087,
1930, 812, 112, 67, 692, 1775, 2951, 3820, 4091, 3669,
2700, 1509, 501, 16, 218, 1039, 2202, 3312, 3994, 4018,
3375, 2283, 1111, 256, 7, 449, 1431, 2622, 3619, 4084,
3859, 3022, 1854, 753, 89, 88, 751, 1852, 3020, 3858,
4084, 3620, 2624, 1433, 450, 7, 256, 1110, 2282, 3375,
4018, 3994, 3311, 2200, 1038, 217, 16, 503, 1513, 2704,
3672, 4091, 3817, 2945, 1768, 686, 65, 116, 820, 1941,
3097, 3898, 4072, 3561, 2537, 1347, 394, 2, 302, 1194,
2374, 3444, 4041, 3963, 3236, 2106, 956, 176, 30, 568,
1607, 2795, 3730, 4095, 3766, 2855, 1671, 614, 43, 151,
902, 2041, 3182, 3939, 4055, 3490, 2437, 1251, 336, 0,
358, 1289, 2477, 3519, 4063, 3923, 3148, 1999, 867, 135,
52, 644, 1713, 2895, 3789, 4094, 3704, 2753, 1563, 537,
23, 196, 996, 2153, 3274, 3979, 4030, 3408, 2325, 1147,
276, 4, 426, 1398, 2590, 3598, 4080, 3873, 3047, 1882,
773, 96, 81, 733, 1831, 3002, 3850, 4086, 3630, 2638,
1445, 457, 8, 251, 1104, 2276, 3371, 4017, 3995, 3312,
2200, 1036, 216, 17, 507, 1520, 2712, 3678, 4092, 3811,
2932, 1753, 674, 61, 122, 836, 1962, 3117, 3908, 4069,
3543, 2509, 1319, 376, 1, 320, 1225, 2410, 3472, 4050,
3948, 3202, 2063, 919, 158, 39, 601, 1655, 2842, 3759,
4095, 3736, 2804, 1614, 572, 31, 175, 954, 2105, 3236,
3964, 4041, 3441, 2367, 1186, 297, 2, 402, 1361, 2553,
3574, 4075, 3888, 3076, 1914, 798, 106, 73, 711, 1803,
2978, 3837, 4088, 3645, 2660, 1467, 471, 10, 242, 1087,
2259, 3359, 4013, 3999, 3322, 2212, 1046, 220, 16, 501,
1512, 2705, 3675, 4091, 3813, 2935, 1755, 675, 61, 122,
838, 1965, 3120, 3910, 4068, 3538, 2502, 1311, 371, 0,
326, 1237, 2423, 3482, 4053, 3942, 3187, 2045, 903, 151,
43, 617, 1678, 2864, 3772, 4094, 3720, 2778, 1586, 552,
26, 188, 982, 2139, 3264, 3976, 4032, 3413, 2329, 1150,
276, 5, 428, 1402, 2596, 3603, 4081, 3867, 3034, 1866,
759, 90, 88, 752, 1857, 3027, 3863, 4082, 3609, 2604,
1410, 433, 5, 272, 1144, 2323, 3408, 4030, 3978, 3268,
2143, 986, 189, 26, 550, 1584, 2776, 3720, 4094, 3772,
2863, 1676, 616, 43, 152, 907, 2050, 3192, 3945, 4052,
3476, 2414, 1228, 320, 1, 378, 1324, 2516, 3549, 4070,
3903, 3104, 1945, 821, 115, 67, 693, 1781, 2960, 3828,
4089, 3655, 2674, 1479, 478, 11, 238, 1081, 2254, 3356,
4012, 3999, 3322, 2210, 1043, 218, 16, 507, 1522, 2716,
3683, 4092, 3805, 2919, 1736, 659, 55, 131, 859, 1992,
3145, 3923, 4062, 3515, 2467, 1277, 349, 0, 349, 1277,
2467, 3515, 4062, 3923, 3145, 1992, 859, 130, 56, 660,
1737, 2920, 3806, 4092, 3681, 2713, 1519, 504, 16, 220,
1048, 2216, 3327, 4002, 4010, 3349, 2245, 1073, 233, 12,
486, 1491, 2687, 3664, 4090, 3820, 2945, 1764, 679, 62,
121, 838, 1967, 3124, 3913, 4066, 3531, 2489, 1297, 361,
0, 338, 1259, 2449, 3502, 4059, 3930, 3158, 2008, 871,
136, 52, 650, 1724, 2909, 3800, 4093, 3687, 2723, 1528,
510, 17, 217, 1042, 2210, 3322, 4000, 4011, 3352, 2248,
1075, 234, 12, 485, 1491, 2687, 3665, 4090, 3819, 2942,
1760, 676, 61, 123, 843, 1974, 3130, 3916, 4065, 3525,
2480, 1288, 355, 0, 344, 1270, 2461, 3511, 4061, 3924,
3145, 1992, 857, 129, 57, 664, 1743, 2927, 3810, 4091,
3674, 2702, 1506, 495, 14, 228, 1064, 2235, 3343, 4008,
4003, 3330, 2219, 1049, 221, 16, 505, 1522, 2718, 3685,
4092, 3801, 2911, 1725, 650, 52, 136, 873, 2012, 3162,
3932, 4058, 3496, 2440, 1249, 331, 0, 369, 1311, 2505,
3543, 4069, 3905, 3105, 1944, 818, 113, 69, 701, 1794,
2973, 3836, 4088, 3642, 2651, 1453, 459, 8, 254, 1114,
2292, 3387, 4024, 3985, 3283, 2159, 997, 194, 25, 547,
1583, 2778, 3723, 4095, 3766, 2850, 1659, 601, 38, 162,
931, 2082, 3221, 3959, 4043, 3444, 2368, 1182, 292, 3,
413, 1383, 2580, 3595, 4080, 3870, 3037, 1865, 755, 88,
91, 764, 1876, 3047, 3875, 4079, 3587, 2568, 1371, 406,
2, 299, 1194, 2381, 3454, 4046, 3954, 3209, 2067, 918,
156, 41, 613, 1677, 2867, 3776, 4094, 3711, 2759, 1563,
533, 21, 204, 1017, 2184, 3303, 3993, 4017, 3366, 2264,
1087, 240, 11, 480, 1486, 2684, 3664, 4090, 3817, 2938,
1754, 670, 58, 128, 855, 1990, 3145, 3925, 4061, 3507,
2454, 1261, 338, 0, 364, 1304, 2500, 3540, 4069, 3905,
3105, 1943, 816, 111, 70, 706, 1802, 2982, 3842, 4086,
3633, 2636, 1437, 448, 7, 265, 1134, 2317, 3407, 4031,
3975, 3259, 2127, 968, 179, 30, 573, 1621, 2815, 3746,
4095, 3742, 2808, 1613, 567, 29, 183, 976, 2136, 3266,
3979, 4029, 3399, 2307, 1125, 260, 7, 455, 1448, 2647,
3641, 4088, 3835, 2969, 1788, 695, 66, 117, 830, 1960,
3121, 3913, 4066, 3526, 2479, 1284, 351, 0, 351, 1285,
2480, 3526, 4066, 3913, 3120, 1959, 829, 116, 67, 697,
1790, 2972, 3837, 4087, 3638, 2643, 1444, 452, 7, 263,
1131, 2314, 3405, 4031, 3976, 3259, 2126, 967, 178, 31,
576, 1626, 2821, 3750, 4095, 3737, 2799, 1603, 559, 27,
188, 988, 2151, 3279, 3984, 4024, 3386, 2288, 1107, 250,
9, 469, 1470, 2670, 3656, 4090, 3822, 2945, 1760, 673,
59, 127, 855, 1993, 3149, 3927, 4059, 3501, 2443, 1250,
330, 0, 374, 1322, 2520, 3555, 4073, 3894, 3081, 1913,
792, 101, 79, 734, 1840, 3017, 3861, 4082, 3604, 2591,
1392, 417, 3, 291, 1183, 2372, 3449, 4045, 3954, 3208,
2063, 913, 153, 44, 623, 1693, 2884, 3788, 4093, 3696,
2732, 1532, 510, 16, 221, 1053, 2227, 3340, 4008, 4002,
3324, 2207, 1036, 212, 19, 524, 1552, 2751, 3708, 4094,
3776, 2864, 1671, 607, 39, 161, 932, 2087, 3228, 3963,
4039, 3430, 2346, 1159, 278, 5, 435, 1419, 2620, 3624,
4085, 3846, 2988, 1806, 708, 70, 113, 821, 1951, 3115,
3911, 4066, 3527, 2479, 1282, 349, 0, 356, 1294, 2491,
3536, 4068, 3905, 3103, 1938, 810, 108, 74, 718, 1821,
3001, 3853, 4084, 3614, 2604, 1403, 424, 4, 287, 1176,
2365, 3445, 4044, 3955, 3210, 2065, 913, 152, 44, 625,
1696, 2888, 3791, 4093, 3691, 2723, 1523, 503, 15, 227,
1066, 2243, 3353, 4013, 3996, 3309, 2187, 1017, 202, 22,
541, 1578, 2777, 3725, 4095, 3760, 2835, 1639, 584, 33,
176, 964, 2125, 3260, 3977, 4029, 3399, 2303, 1119, 255,
9, 464, 1466, 2668, 3656, 4090, 3820, 2939, 1752, 666,
56, 132, 869, 2012, 3167, 3936, 4055, 3481, 2414, 1220,
312, 1, 396, 1361, 2561, 3585, 4079, 3872, 3037, 1860,
748, 84, 97, 782, 1904, 3075, 3892, 4073, 3556, 2519,
1319, 370, 0, 336, 1262, 2459, 3514, 4063, 3918, 3127,
1964, 830, 116, 68, 702, 1801, 2984, 3845, 4085, 3623,
2617, 1415, 431, 4, 283, 1170, 2360, 3442, 4043, 3956,
3211, 2064, 911, 151, 45, 630, 1704, 2896, 3796, 4093,
3683, 2710, 1508, 492, 13, 236, 1084, 2265, 3370, 4020,
3988, 3287, 2158, 991, 188, 27, 564, 1612, 2811, 3746,
4095, 3737, 2796, 1597, 553, 25, 195, 1005, 2174, 3300,
3994, 4015, 3357, 2247, 1068, 227, 15, 504, 1526, 2728,
3695, 4093, 3785, 2877, 1682, 613, 40, 160, 932, 2089,
3232, 3965, 4037, 3421, 2331, 1143, 267, 6, 451, 1446,
2650, 3645, 4089, 3827, 2951, 1763, 673, 58, 130, 865,
2008, 3165, 3936, 4054, 3479, 2410, 1215, 308, 2, 403,
1372, 2575, 3595, 4081, 3864, 3019, 1839, 731, 77, 105,
804, 1933, 3101, 3906, 4068, 3532, 2483, 1283, 348, 0,
360, 1303, 2504, 3547, 4071, 3896, 3082, 1911, 786, 98,
83, 748, 1862, 3040, 3875, 4078, 3579, 2550, 1348, 387,
1, 322, 1240, 2437, 3500, 4060, 3924, 3140, 1977, 839,
119, 66, 698, 1797, 2982, 3845, 4085, 3621, 2613, 1409,
426, 4, 289, 1182, 2375, 3455, 4047, 3948, 3192, 2039,
890, 141, 51, 653, 1737, 2928, 3815, 4090, 3659, 2670,
1465, 462, 8, 259, 1130, 2318, 3412, 4034, 3969, 3239,
2096, 937, 162, 40, 612, 1682, 2878, 3787, 4093, 3692,
2721, 1517, 497, 13, 234, 1082, 2265, 3372, 4021, 3986,
3281, 2148, 980, 182, 30, 576, 1632, 2832, 3760, 4095,
3721, 2768, 1565, 529, 20, 212, 1040, 2217, 3335, 4008,
4001, 3318, 2195, 1021, 202, 23, 545, 1587, 2789, 3734,
4095, 3746, 2809, 1608, 559, 26, 193, 1002, 2174, 3302,
3995, 4013, 3351, 2236, 1057, 220, 17, 517, 1548, 2751,
3711, 4094, 3768, 2846, 1647, 586, 33, 177, 970, 2136,
3272, 3983, 4023, 3379, 2273, 1089, 237, 13, 494, 1513,
2718, 3690, 4093, 3787, 2877, 1680, 611, 39, 164, 941,
2103, 3245, 3972, 4032, 3403, 2305, 1117, 252, 9, 474,
1484, 2689, 3672, 4092, 3802, 2904, 1709, 631, 45, 153,
918, 2075, 3222, 3962, 4038, 3424, 2332, 1141, 265, 7,
457, 1459, 2665, 3657, 4090, 3815, 2927, 1733, 649, 50,
144, 898, 2052, 3204, 3954, 4043, 3440, 2353, 1161, 276,
5, 444, 1439, 2645, 3644, 4089, 3825, 2944, 1752, 663,
54, 137, 883, 2034, 3189, 3948, 4047, 3452, 2370, 1176,
284, 4, 434, 1424, 2630, 3634, 4087, 3832, 2957, 1767,
673, 57, 132, 872, 2020, 3178, 3943, 4050, 3461, 2382,
1186, 290, 4, 427, 1414, 2620, 3628, 4087, 3837, 2966,
1776, 680, 59, 129, 865, 2012, 3171, 3940, 4051, 3467,
2389, 1192, 293, 3, 424, 1408, 2615, 3625, 4086, 3839,
2970, 1780, 683, 60, 128, 863, 2009, 3169, 3939, 4052,
3468, 2391, 1194, 294, 3, 423, 1408, 2615, 3624, 4086,
3839, 2970, 1779, 682, 60, 128, 864, 2011, 3171, 3940,
4051, 3466, 2388, 1191, 292, 3, 426, 1412, 2619, 3627,
4087, 3837, 2965, 1774, 678, 58, 131, 869, 2018, 3177,
3943, 4050, 3460, 2380, 1183, 288, 4, 431, 1420, 2628,
3633, 4087, 3832, 2955, 1763, 670, 56, 135, 879, 2030,
3187, 3947, 4047, 3451, 2367, 1171, 281, 5, 440, 1434,
2642, 3643, 4089, 3824, 2942, 1748, 658, 52, 140, 892,
2046, 3201, 3954, 4043, 3438, 2349, 1155, 272, 6, 451,
1452, 2660, 3655, 4090, 3814, 2923, 1727, 643, 48, 148,
910, 2068, 3219, 3962, 4038, 3421, 2326, 1134, 260, 8,
467, 1475, 2684, 3670, 4092, 3801, 2900, 1702, 624, 42,
158, 933, 2095, 3241, 3971, 4032, 3401, 2299, 1109, 246,
11, 485, 1504, 2711, 3688, 4093, 3786, 2873, 1672, 602,
36, 171, 959, 2127, 3267, 3982, 4023, 3376, 2266, 1079,
231, 15, 507, 1537, 2744, 3709, 4094, 3767, 2840, 1637,
577, 30, 185, 990, 2164, 3296, 3994, 4013, 3347, 2228,
1046, 213, 20, 533, 1575, 2781, 3731, 4095, 3745, 2803,
1597, 549, 23, 203, 1026, 2205, 3329, 4007, 4001, 3314,
2185, 1009, 194, 26, 563, 1618, 2822, 3756, 4095, 3719,
2760, 1553, 518, 17, 224, 1067, 2252, 3366, 4020, 3986,
3276, 2137, 967, 174, 35, 597, 1666, 2868, 3783, 4093,
3690, 2713, 1504, 485, 11, 247, 1112, 2303, 3405, 4033,
3968, 3233, 2084, 922, 153, 45, 636, 1719, 2917, 3812,
4090, 3656, 2660, 1451, 449, 6, 275, 1163, 2360, 3447,
4046, 3948, 3186, 2026, 874, 132, 58, 679, 1778, 2971,
3841, 4085, 3618, 2603, 1393, 412, 2, 306, 1219, 2420,
3492, 4059, 3924, 3133, 1963, 823, 110, 74, 727, 1841,
3028, 3871, 4078, 3576, 2539, 1331, 373, 0, 342, 1280,
2486, 3539, 4070, 3896, 3075, 1896, 769, 89, 94, 781,
1910, 3088, 3902, 4068, 3528, 2471, 1266, 334, 0, 383,
1347, 2556, 3587, 4080, 3863, 3012, 1823, 713, 69, 117,
839, 1984, 3151, 3932, 4055, 3475, 2397, 1196, 293, 3,
428, 1419, 2630, 3637, 4088, 3826, 2942, 1746, 655, 50,
145, 904, 2063, 3217, 3962, 4037, 3417, 2318, 1124, 253,
10, 479, 1497, 2707, 3687, 4093, 3784, 2867, 1664, 595,
34, 177, 975, 2147, 3285, 3990, 4016, 3352, 2233, 1048,
213, 20, 536, 1581, 2789, 3738, 4095, 3736, 2786, 1578,
534, 20, 215, 1051, 2236, 3355, 4017, 3989, 3282, 2143,
970, 175, 35, 599, 1670, 2874, 3788, 4093, 3682, 2699,
1488, 473, 9, 258, 1134, 2330, 3427, 4041, 3957, 3205,
2047, 890, 138, 55, 669, 1766, 2961, 3837, 4086, 3622,
2606, 1395, 412, 2, 308, 1224, 2428, 3498, 4061, 3919,
3121, 1947, 809, 104, 80, 745, 1866, 3051, 3884, 4074,
3554, 2506, 1298, 352, 0, 365, 1320, 2529, 3570, 4077,
3874, 3030, 1842, 726, 73, 112, 829, 1973, 3143, 3929,
4056, 3479, 2401, 1199, 294, 4, 429, 1422, 2635, 3641,
4089, 3821, 2932, 1733, 644, 47, 151, 920, 2084, 3235,
3970, 4031, 3397, 2290, 1097, 238, 13, 502, 1532, 2743,
3710, 4095, 3761, 2827, 1620, 562, 26, 198, 1019, 2200,
3328, 4007, 3999, 3306, 2172, 995, 186, 30, 582, 1648,
2854, 3777, 4094, 3693, 2715, 1503, 482, 10, 253, 1125,
2321, 3421, 4039, 3959, 3208, 2050, 891, 138, 55, 671,
1770, 2966, 3840, 4085, 3616, 2596, 1383, 404, 1, 317,
1239, 2446, 3512, 4065, 3909, 3101, 1922, 788, 96, 88,
769, 1898, 3079, 3899, 4069, 3529, 2469, 1261, 330, 1,
390, 1362, 2574, 3601, 4083, 3851, 2985, 1790, 686, 60,
131, 876, 2031, 3193, 3952, 4043, 3433, 2336, 1138, 260,
9, 474, 1491, 2704, 3687, 4093, 3782, 2861, 1654, 586,
31, 184, 992, 2170, 3305, 3999, 4007, 3327, 2197, 1015,
196, 27, 568, 1628, 2837, 3767, 4094, 3702, 2728, 1516,
490, 11, 248, 1117, 2313, 3416, 4038, 3960, 3211, 2052,
892, 138, 55, 672, 1772, 2969, 3843, 4085, 3611, 2588,
1375, 398, 1, 323, 1252, 2460, 3523, 4067, 3902, 3085,
1903, 772, 89, 95, 787, 1923, 3102, 3910, 4064, 3509,
2439, 1233, 312, 2, 411, 1395, 2609, 3625, 4087, 3831,
2948, 1749, 654, 49, 148, 914, 2079, 3233, 3970, 4031,
3394, 2284, 1091, 234, 15, 511, 1547, 2760, 3722, 4095,
3748, 2802, 1591, 541, 21, 213, 1051, 2240, 3361, 4020,
3985, 3268, 2122, 950, 164, 41, 623, 1707, 2911, 3811,
4090, 3651, 2647, 1432, 434, 4, 293, 1199, 2404, 3484,
4058, 3924, 3130, 1955, 812, 105, 81, 749, 1875, 3061,
3891, 4071, 3540, 2483, 1272, 335, 1, 387, 1358, 2571,
3601, 4083, 3849, 2980, 1783, 679, 57, 136, 887, 2048,
3208, 3960, 4038, 3415, 2311, 1114, 245, 12, 495, 1525,
2739, 3710, 4095, 3758, 2820, 1609, 553, 23, 206, 1039,
2226, 3351, 4016, 3988, 3276, 2132, 957, 167, 39, 619,
1702, 2907, 3809, 4090, 3652, 2648, 1433, 434, 4, 294,
1202, 2408, 3487, 4059, 3922, 3124, 1947, 805, 102, 83,
758, 1886, 3072, 3897, 4069, 3529, 2467, 1257, 325, 1,
398, 1377, 2592, 3615, 4086, 3838, 2959, 1758, 660, 51,
146, 911, 2077, 3233, 3971, 4030, 3391, 2277, 1083, 229,
16, 520, 1562, 2775, 3732, 4095, 3736, 2781, 1567, 523,
17, 227, 1079, 2273, 3387, 4029, 3972, 3236, 2081, 914,
147, 50, 658, 1756, 2957, 3837, 4086, 3615, 2591, 1376,
397, 1, 327, 1260, 2471, 3532, 4070, 3894, 3066, 1879,
751, 81, 105, 814, 1959, 3135, 3927, 4056, 3476, 2392,
1186, 284, 5, 447, 1453, 2670, 3667, 4092, 3795, 2882,
1674, 598, 33, 180, 986, 2167, 3305, 4000, 4005, 3319,
2184, 1001, 187, 30, 586, 1658, 2867, 3787, 4093, 3676,
2685, 1468, 456, 6, 277, 1174, 2379, 3467, 4054, 3932,
3145, 1970, 822, 108, 78, 744, 1871, 3060, 3891, 4071,
3536, 2475, 1263, 328, 1, 396, 1375, 2592, 3616, 4086,
3836, 2954, 1751, 654, 49, 150, 922, 2091, 3245, 3976,
4025, 3376, 2256, 1063, 218, 19, 538, 1589, 2803, 3750,
4095, 3716, 2748, 1532, 498, 12, 246, 1116, 2316, 3421,
4040, 3955, 3195, 2030, 871, 128, 63, 700, 1814, 3010,
3866, 4079, 3573, 2528, 1313, 358, 0, 366, 1327, 2542,
3583, 4081, 3859, 2997, 1799, 689, 59, 133, 884, 2046,
3209, 3961, 4036, 3408, 2298, 1100, 237, 14, 511, 1551,
2767, 3728, 4095, 3737, 2781, 1566, 521, 16, 230, 1087,
2284, 3397, 4033, 3966, 3220, 2060, 895, 138, 56, 680,
1787, 2987, 3854, 4082, 3589, 2551, 1335, 371, 0, 354,
1307, 2523, 3570, 4078, 3868, 3013, 1816, 701, 63, 128,
872, 2032, 3198, 3956, 4039, 3417, 2310, 1110, 242, 13,
505, 1543, 2760, 3724, 4095, 3741, 2787, 1571, 524, 17,
228, 1085, 2282, 3396, 4033, 3966, 3220, 2059, 893, 137,
57, 682, 1791, 2991, 3856, 4081, 3585, 2545, 1328, 366,
0, 359, 1317, 2533, 3577, 4080, 3862, 3001, 1803, 691,
60, 133, 884, 2048, 3212, 3963, 4035, 3403, 2290, 1092,
232, 16, 519, 1565, 2781, 3738, 4095, 3727, 2763, 1546,
507, 13, 241, 1109, 2310, 3418, 4040, 3955, 3195, 2027,
867, 125, 65, 708, 1826, 3022, 3873, 4077, 3561, 2508,
1293, 344, 0, 382, 1354, 2573, 3605, 4084, 3842, 2963,
1759, 658, 49, 150, 923, 2095, 3250, 3979, 4023, 3366,
2241, 1048, 209, 23, 555, 1616, 2831, 3767, 4094, 3695,
2711, 1492, 470, 8, 269, 1162, 2369, 3462, 4053, 3932,
3143, 1965, 816, 104, 82, 757, 1890, 3079, 3902, 4066,
3514, 2442, 1229, 307, 3, 424, 1422, 2641, 3650, 4090,
3805, 2896, 1686, 604, 34, 179, 988, 2172, 3313, 4004,
4000, 3303, 2161, 978, 175, 36, 612, 1698, 2908, 3812,
4090, 3642, 2628, 1408, 415, 2, 315, 1243, 2457, 3526,
4069, 3895, 3064, 1872, 743, 77, 111, 833, 1986, 3161,
3941, 4048, 3444, 2345, 1139, 257, 10, 487, 1519, 2738,
3712, 4095, 3750, 2800, 1583, 531, 18, 226, 1081, 2280,
3396, 4033, 3964, 3214, 2050, 884, 132, 61, 695, 1811,
3010, 3867, 4078, 3567, 2515, 1298, 347, 0, 381, 1355,
2574, 3607, 4085, 3839, 2956, 1750, 650, 47, 155, 936,
2112, 3266, 3986, 4017, 3348, 2216, 1025, 197, 27, 576,
1648, 2862, 3786, 4093, 3671, 2673, 1452, 443, 4, 293,
1205, 2417, 3498, 4063, 3911, 3096, 1908, 770, 86, 100,
807, 1955, 3136, 3930, 4054, 3464, 2371, 1162, 269, 8,
473, 1498, 2719, 3701, 4094, 3760, 2816, 1598, 541, 20,
220, 1070, 2269, 3388, 4031, 3967, 3221, 2056, 889, 134,
60, 693, 1809, 3009, 3867, 4078, 3566, 2513, 1295, 344,
0, 385, 1362, 2582, 3613, 4086, 3833, 2945, 1737, 640,
44, 161, 950, 2130, 3280, 3992, 4011, 3331, 2194, 1005,
187, 31, 594, 1674, 2888, 3802, 4091, 3652, 2642, 1420,
422, 2, 311, 1239, 2454, 3525, 4069, 3894, 3060, 1866,
737, 74, 115, 844, 2002, 3176, 3948, 4043, 3427, 2320,
1115, 243, 13, 509, 1552, 2773, 3734, 4095, 3726, 2759,
1538, 499, 12, 250, 1129, 2335, 3439, 4047, 3942, 3162,
1985, 830, 109, 79, 750, 1884, 3076, 3902, 4066, 3511,
2434, 1219, 300, 3, 436, 1443, 2665, 3668, 4092, 3788,
2863, 1647, 574, 27, 199, 1031, 2225, 3356, 4020, 3981,
3252, 2094, 919, 146, 52, 669, 1778, 2983, 3854, 4081,
3583, 2536, 1316, 356, 0, 374, 1345, 2567, 3603, 4084,
3839, 2955, 1747, 646, 45, 159, 946, 2126, 3279, 3992,
4011, 3330, 2191, 1001, 184, 33, 600, 1684, 2897, 3808,
4090, 3643, 2627, 1404, 411, 1, 322, 1259, 2477, 3542,
4073, 3882, 3035, 1836, 713, 66, 126, 872, 2038, 3207,
3962, 4034, 3396, 2277, 1076, 222, 19, 541, 1601, 2820,
3763, 4094, 3694, 2706, 1483, 462, 6, 280, 1185, 2398,
3486, 4060, 3916, 3104, 1915, 774, 87, 100, 809, 1961,
3143, 3934, 4051, 3453, 2352, 1143, 257, 10, 492, 1529,
2751, 3722, 4095, 3736, 2774, 1553, 508, 13, 245, 1121,
2328, 3435, 4046, 3943, 3162, 1984, 828, 107, 81, 757,
1894, 3086, 3907, 4064, 3499, 2416, 1201, 289, 5, 451,
1468, 2692, 3685, 4094, 3770, 2831, 1612, 548, 21, 217,
1069, 2270, 3391, 4033, 3964, 3210, 2041, 874, 126, 66,
714, 1839, 3038, 3884, 4072, 3537, 2469, 1250, 317, 2,
419, 1418, 2642, 3654, 4091, 3797, 2878, 1661, 583, 28,
196, 1026, 2221, 3355, 4020, 3980, 3249, 2088, 912, 143,
55, 680, 1794, 2999, 3864, 4078, 3567, 2511, 1290, 340,
1, 394, 1379, 2603, 3629, 4088, 3818, 2914, 1700, 610,
35, 180, 993, 2184, 3326, 4010, 3992, 3278, 2123, 942,
156, 47, 654, 1760, 2969, 3848, 4082, 3588, 2543, 1320,
357, 0, 376, 1350, 2574, 3609, 4086, 3832, 2940, 1728,
630, 40, 169, 970, 2157, 3305, 4003, 4000, 3298, 2148,
962, 165, 42, 637, 1737, 2949, 3837, 4085, 3602, 2563,
1339, 369, 0, 364, 1332, 2555, 3597, 4084, 3841, 2956,
1745, 643, 44, 163, 957, 2142, 3293, 3998, 4004, 3309,
2162, 974, 170, 40, 628, 1725, 2938, 3832, 4086, 3609,
2573, 1349, 375, 0, 359, 1323, 2547, 3592, 4083, 3845,
2962, 1752, 647, 45, 160, 952, 2137, 3289, 3997, 4005,
3312, 2165, 976, 171, 39, 627, 1724, 2937, 3831, 4086,
3609, 2573, 1348, 374, 0, 360, 1325, 2550, 3594, 4083,
3843, 2958, 1747, 644, 44, 162, 957, 2143, 3295, 3999,
4003, 3306, 2157, 969, 168, 41, 634, 1734, 2946, 3836,
4085, 3602, 2562, 1337, 367, 0, 367, 1338, 2563, 3603,
4085, 3836, 2945, 1732, 633, 41, 169, 971, 2160, 3308,
4004, 3998, 3292, 2139, 953, 160, 45, 648, 1754, 2965,
3846, 4082, 3588, 2541, 1316, 354, 0, 381, 1360, 2586,
3619, 4087, 3823, 2922, 1707, 614, 35, 180, 995, 2188,
3330, 4012, 3989, 3268, 2109, 928, 149, 52, 671, 1785,
2993, 3862, 4079, 3566, 2508, 1285, 335, 1, 401, 1393,
2620, 3641, 4090, 3805, 2889, 1670, 587, 29, 196, 1028,
2226, 3360, 4023, 3976, 3236, 2069, 894, 134, 61, 702,
1827, 3030, 3881, 4073, 3537, 2466, 1244, 311, 3, 429,
1437, 2664, 3670, 4093, 3780, 2845, 1623, 554, 21, 217,
1071, 2275, 3398, 4036, 3958, 3194, 2018, 852, 116, 75,
742, 1879, 3077, 3904, 4064, 3499, 2412, 1194, 283, 6,
464, 1491, 2718, 3704, 4095, 3749, 2791, 1566, 514, 14,
245, 1124, 2335, 3443, 4049, 3935, 3142, 1955, 802, 96,
92, 792, 1943, 3132, 3931, 4052, 3452, 2347, 1134, 250,
12, 507, 1556, 2782, 3743, 4095, 3710, 2726, 1499, 469,
7, 279, 1188, 2406, 3495, 4063, 3906, 3080, 1882, 744,
75, 116, 852, 2018, 3195, 3959, 4035, 3396, 2271, 1066,
214, 22, 560, 1632, 2855, 3786, 4092, 3662, 2650, 1422,
419, 2, 321, 1263, 2486, 3552, 4076, 3870, 3007, 1799,
680, 54, 146, 922, 2104, 3265, 3988, 4012, 3329, 2184,
990, 177, 37, 622, 1720, 2936, 3832, 4085, 3604, 2563,
1336, 365, 0, 373, 1349, 2577, 3614, 4087, 3825, 2923,
1705, 611, 34, 183, 1004, 2200, 3342, 4017, 3983, 3251,
2086, 907, 139, 59, 695, 1819, 3026, 3879, 4073, 3537,
2464, 1241, 308, 3, 434, 1447, 2677, 3679, 4093, 3770,
2826, 1601, 537, 18, 230, 1097, 2307, 3423, 4044, 3944,
3161, 1976, 817, 102, 88, 780, 1930, 3122, 3926, 4054,
3457, 2353, 1138, 251, 12, 507, 1558, 2785, 3746, 4095,
3705, 2718, 1488, 461, 6, 287, 1203, 2424, 3509, 4067,
3896, 3059, 1857, 723, 67, 126, 878, 2052, 3224, 3972,
4025, 3366, 2230, 1029, 195, 30, 592, 1680, 2901, 3813,
4089, 3628, 2596, 1367, 383, 0, 356, 1322, 2550, 3597,
4084, 3837, 2943, 1727, 626, 38, 176, 989, 2184, 3330,
4013, 3987, 3260, 2096, 914, 141, 57, 691, 1815, 3023,
3878, 4073, 3536, 2462, 1238, 306, 3, 438, 1454, 2685,
3685, 4094, 3764, 2814, 1587, 527, 16, 238, 1114, 2327,
3439, 4049, 3935, 3140, 1950, 796, 93, 96, 804, 1962,
3150, 3940, 4046, 3431, 2315, 1103, 232, 17, 535, 1600,
2826, 3771, 4093, 3676, 2671, 1440, 429, 2, 315, 1254,
2479, 3549, 4076, 3870, 3005, 1795, 676, 52, 150, 933,
2120, 3280, 3995, 4006, 3309, 2156, 964, 164, 44, 649,
1759, 2973, 3853, 4080, 3573, 2513, 1286, 334, 1, 408,
1408, 2639, 3656, 4092, 3788, 2855, 1630, 556, 21, 219,
1078, 2288, 3411, 4040, 3949, 3171, 1986, 823, 103, 87,
779, 1930, 3124, 3928, 4052, 3451, 2342, 1127, 244, 14,
519, 1577, 2806, 3759, 4094, 3688, 2689, 1458, 440, 3,
307, 1240, 2465, 3540, 4074, 3875, 3015, 1805, 682, 54,
147, 927, 2113, 3276, 3993, 4007, 3311, 2158, 965, 164,
44, 650, 1761, 2976, 3855, 4080, 3569, 2507, 1279, 329,
1, 414, 1418, 2650, 3664, 4092, 3781, 2842, 1615, 545,
19, 227, 1094, 2307, 3425, 4045, 3941, 3152, 1963, 804,
96, 94, 800, 1958, 3148, 3940, 4046, 3429, 2311, 1098,
229, 18, 543, 1612, 2839, 3780, 4093, 3665, 2651, 1419,
414, 1, 330, 1280, 2509, 3570, 4080, 3854, 2973, 1757,
646, 43, 166, 971, 2166, 3318, 4009, 3990, 3267, 2102,
917, 142, 57, 694, 1821, 3030, 3883, 4071, 3525, 2444,
1219, 294, 5, 456, 1484, 2716, 3706, 4095, 3741, 2774,
1543, 495, 10, 263, 1163, 2384, 3483, 4061, 3909, 3083,
1881, 739, 72, 121, 869, 2044, 3220, 3971, 4025, 3362,
2222, 1019, 189, 33, 608, 1704, 2926, 3829, 4086, 3603,
2557, 1325, 356, 0, 387, 1376, 2609, 3638, 4090, 3801,
2877, 1651, 569, 24, 212, 1067, 2277, 3404, 4039, 3951,
3173, 1986, 822, 102, 88, 785, 1940, 3134, 3934, 4049,
3438, 2322, 1107, 233, 17, 539, 1608, 2836, 3778, 4093,
3665, 2650, 1416, 412, 1, 333, 1288, 2518, 3577, 4081,
3847, 2960, 1741, 634, 39, 174, 989, 2188, 3336, 4016,
3982, 3245, 2073, 892, 131, 65, 719, 1856, 3062, 3900,
4065, 3497, 2403, 1180, 272, 8, 486, 1530, 2762, 3735,
4095, 3711, 2723, 1490, 459, 5, 293, 1218, 2445, 3527,
4072, 3881, 3024, 1813, 686, 55, 147, 929, 2118, 3282,
3996, 4003, 3299, 2141, 948, 155, 50, 670, 1791, 3005,
3871, 4075, 3541, 2465, 1237, 304, 4, 447, 1471, 2705,
3700, 4095, 3745, 2778, 1546, 496, 10, 265, 1167, 2390,
3488, 4063, 3905, 3071, 1866, 726, 67, 128, 887, 2067,
3241, 3980, 4017, 3338, 2189, 989, 174, 40, 636, 1745,
2964, 3850, 4081, 3572, 2508, 1277, 327, 2, 421, 1431,
2666, 3676, 4093, 3767, 2815, 1584, 521, 14, 246, 1134,
2354, 3462, 4056, 3919, 3101, 1900, 752, 76, 117, 860,
2035, 3215, 3970, 4025, 3361, 2219, 1014, 186, 34, 616,
1718, 2940, 3838, 4084, 3588, 2533, 1300, 340, 1, 407,
1410, 2645, 3663, 4093, 3778, 2834, 1603, 534, 16, 238,
1118, 2337, 3450, 4053, 3926, 3115, 1915, 764, 80, 112,
849, 2022, 3205, 3966, 4028, 3370, 2230, 1023, 190, 33,
610, 1710, 2933, 3834, 4084, 3593, 2538, 1305, 343, 1,
404, 1406, 2642, 3661, 4092, 3779, 2835, 1604, 534, 16,
238, 1119, 2338, 3451, 4053, 3924, 3112, 1911, 761, 79,
114, 854, 2029, 3210, 3968, 4026, 3364, 2221, 1015, 186,
35, 617, 1721, 2943, 3840, 4083, 3584, 2526, 1293, 335,
1, 413, 1421, 2657, 3671, 4093, 3770, 2818, 1586, 522,
14, 247, 1137, 2358, 3467, 4057, 3916, 3093, 1889, 743,
72, 122, 874, 2054, 3231, 3977, 4019, 3343, 2194, 991,
174, 40, 638, 1750, 2970, 3854, 4079, 3563, 2494, 1263,
317, 3, 434, 1454, 2690, 3692, 4094, 3750, 2784, 1550,
497, 10, 266, 1172, 2397, 3495, 4065, 3899, 3057, 1847,
710, 61, 137, 910, 2098, 3267, 3992, 4007, 3307, 2147,
951, 156, 50, 673, 1798, 3014, 3877, 4073, 3529, 2444,
1215, 290, 6, 467, 1505, 2741, 3724, 4095, 3718, 2732,
1496, 461, 5, 295, 1225, 2455, 3536, 4074, 3872, 3004,
1787, 664, 47, 160, 963, 2161, 3318, 4011, 3987, 3255,
2082, 896, 131, 66, 724, 1866, 3074, 3907, 4061, 3480,
2375, 1151, 254, 12, 514, 1575, 2809, 3765, 4093, 3674,
2661, 1424, 414, 1, 336, 1296, 2531, 3589, 4084, 3835,
2933, 1708, 606, 32, 193, 1033, 2243, 3382, 4033, 3959,
3186, 1997, 827, 103, 89, 791, 1952, 3148, 3942, 4043,
3415, 2287, 1071, 213, 24, 576, 1665, 2894, 3814, 4088,
3616, 2571, 1334, 359, 0, 390, 1386, 2624, 3651, 4092,
3785, 2843, 1610, 537, 17, 238, 1121, 2343, 3457, 4055,
3919, 3099, 1894, 745, 73, 122, 876, 2058, 3237, 3980,
4017, 3333, 2179, 977, 167, 44, 654, 1774, 2994, 3867,
4075, 3542, 2461, 1229, 297, 5, 460, 1496, 2734, 3720,
4095, 3720, 2734, 1496, 460, 5, 297, 1230, 2462, 3542,
4076, 3867, 2992, 1772, 653, 44, 168, 980, 2183, 3336,
4018, 3978, 3232, 2052, 871, 120, 75, 752, 1903, 3107,
3924, 4053, 3449, 2331, 1110, 232, 18, 548, 1626, 2859,
3795, 4091, 3638, 2604, 1365, 377, 0, 373, 1359, 2597,
3634, 4090, 3798, 2865, 1633, 552, 19, 229, 1105, 2326,
3445, 4052, 3925, 3110, 1906, 754, 75, 119, 869, 2051,
3232, 3978, 4018, 3335, 2181, 978, 167, 44, 656, 1777,
2998, 3870, 4074, 3536, 2453, 1220, 291, 6, 468, 1510,
2748, 3730, 4095, 3710, 2716, 1477, 447, 3, 309, 1252,
2487, 3560, 4079, 3854, 2966, 1742, 630, 37, 182, 1010,
2219, 3365, 4028, 3965, 3199, 2011, 837, 106, 87, 787,
1949, 3147, 3942, 4043, 3411, 2280, 1064, 208, 26, 586,
1682, 2912, 3825, 4086, 3599, 2544, 1306, 341, 1, 412,
1422, 2662, 3677, 4094, 3760, 2798, 1561, 502, 10, 266,
1175, 2404, 3502, 4067, 3891, 3039, 1823, 689, 54, 150,
942, 2140, 3304, 4007, 3991, 3262, 2087, 898, 131, 67,
730, 1876, 3086, 3914, 4057, 3463, 2350, 1125, 239, 17,
540, 1616, 2851, 3791, 4091, 3641, 2606, 1366, 376, 0,
375, 1364, 2604, 3640, 4091, 3792, 2852, 1617, 540, 17,
239, 1125, 2349, 3463, 4058, 3914, 3085, 1875, 728, 66,
132, 901, 2091, 3265, 3992, 4005, 3299, 2133, 936, 147,
56, 696, 1833, 3048, 3896, 4065, 3493, 2390, 1161, 258,
12, 514, 1579, 2817, 3771, 4093, 3663, 2640, 1399, 396,
0, 357, 1334, 2574, 3620, 4089, 3807, 2879, 1645, 560,
20, 226, 1101, 2324, 3445, 4053, 3923, 3105, 1897, 745,
72, 124, 884, 2071, 3250, 3986, 4010, 3313, 2150, 950,
153, 52, 685, 1819, 3037, 3891, 4067, 3501, 2401, 1170,
263, 11, 508, 1571, 2809, 3768, 4093, 3667, 2645, 1403,
399, 0, 355, 1332, 2572, 3619, 4089, 3807, 2879, 1644,
558, 20, 227, 1104, 2328, 3448, 4054, 3921, 3099, 1891,
740, 70, 127, 891, 2081, 3258, 3990, 4007, 3303, 2138,
939, 148, 56, 696, 1834, 3050, 3898, 4064, 3489, 2383,
1153, 253, 13, 522, 1592, 2830, 3780, 4092, 3652, 2622,
1380, 384, 0, 370, 1357, 2599, 3637, 4091, 3792, 2851,
1615, 537, 16, 242, 1133, 2361, 3473, 4060, 3907, 3069,
1855, 711, 60, 141, 923, 2120, 3290, 4002, 3995, 3271,
2096, 903, 132, 66, 730, 1879, 3090, 3917, 4056, 3455,
2336, 1110, 230, 19, 556, 1641, 2877, 3807, 4089, 3619,
2570, 1329, 353, 0, 402, 1411, 2653, 3673, 4094, 3761,
2796, 1556, 497, 9, 272, 1189, 2423, 3518, 4071, 3879,
3012, 1789, 662, 45, 166, 981, 2188, 3344, 4022, 3972,
3213, 2025, 844, 108, 86, 787, 1953, 3154, 3946, 4039,
3398, 2259, 1042, 195, 32, 611, 1720, 2950, 3847, 4080,
3565, 2489, 1251, 307, 4, 455, 1493, 2735, 3724, 4095,
3711, 2713, 1470, 440, 3, 319, 1273, 2513, 3581, 4083,
3835, 2927, 1695, 593, 27, 207, 1065, 2286, 3419, 4046,
3936, 3129, 1924, 764, 78, 118, 870, 2057, 3240, 3983,
4012, 3317, 2153, 950, 152, 54, 691, 1829, 3047, 3897,
4064, 3487, 2379, 1149, 250, 14, 529, 1604, 2843, 3788,
4091, 3639, 2600, 1357, 369, 0, 387, 1387, 2630, 3659,
4093, 3771, 2814, 1573, 508, 11, 265, 1178, 2412, 3511,
4070, 3882, 3017, 1794, 665, 46, 166, 981, 2190, 3346,
4023, 3970, 3208, 2017, 837, 104, 89, 797, 1967, 3167,
3953, 4035, 3384, 2238, 1023, 186, 36, 630, 1747, 2975,
3861, 4077, 3543, 2457, 1220, 288, 7, 479, 1531, 2774,
3748, 4094, 3684, 2670, 1425, 410, 1, 347, 1322, 2565,
3617, 4088, 3806, 2874, 1636, 551, 18, 236, 1123, 2351,
3468, 4060, 3908, 3068, 1851, 707, 58, 145, 934, 2136,
3304, 4008, 3987, 3250, 2067, 878, 121, 76, 760, 1920,
3127, 3935, 4046, 3417, 2282, 1061, 204, 29, 600, 1707,
2939, 3842, 4081, 3568, 2493, 1253, 307, 4, 457, 1498,
2743, 3730, 4095, 3703, 2698, 1453, 428, 2, 332, 1297,
2540, 3600, 4086, 3818, 2895, 1659, 566, 21, 226, 1105,
2332, 3455, 4056, 3915, 3082, 1867, 719, 62, 140, 924,
2123, 3295, 4005, 3991, 3257, 2076, 884, 123, 74, 755,
1915, 3123, 3934, 4046, 3419, 2284, 1062, 204, 29, 601,
1708, 2941, 3844, 4081, 3566, 2488, 1248, 303, 5, 462,
1507, 2751, 3736, 4095, 3696, 2687, 1441, 420, 1, 340,
1312, 2555, 3611, 4088, 3809, 2878, 1639, 552, 18, 236,
1125, 2355, 3472, 4061, 3904, 3060, 1841, 698, 55, 150,
948, 2153, 3319, 4014, 3980, 3231, 2043, 857, 112, 84,
783, 1951, 3155, 3948, 4037, 3389, 2244, 1026, 186, 36,
632, 1752, 2981, 3865, 4075, 3534, 2442, 1204, 278, 8,
494, 1556, 2799, 3764, 4093, 3664, 2635, 1389, 387, 0,
372, 1366, 2612, 3649, 4092, 3778, 2822, 1579, 510, 11,
267, 1183, 2420, 3518, 4072, 3875, 3000, 1772, 647, 40,
178, 1009, 2225, 3375, 4033, 3955, 3169, 1967, 795, 88,
107, 846, 2030, 3221, 3977, 4017, 3326, 2162, 955, 153,
54, 694, 1837, 3057, 3903, 4061, 3472, 2354, 1123, 234,
19, 556, 1646, 2886, 3814, 4087, 3603, 2542, 1298, 331,
2, 431, 1460, 2707, 3710, 4095, 3721, 2725, 1479, 443,
3, 321, 1281, 2525, 3591, 4085, 3823, 2901, 1663, 567,
21, 227, 1109, 2339, 3461, 4058, 3909, 3069, 1850, 704,
57, 149, 945, 2151, 3319, 4014, 3979, 3227, 2037, 851,
109, 87, 793, 1965, 3167, 3954, 4033, 3375, 2223, 1007,
177, 41, 651, 1779, 3007, 3879, 4070, 3510, 2407, 1170,
259, 13, 522, 1598, 2841, 3789, 4091, 3633, 2587, 1340,
356, 0, 405, 1420, 2668, 3686, 4094, 3743, 2761, 1514,
466, 5, 303, 1249, 2492, 3570, 4082, 3838, 2928, 1692,
587, 25, 215, 1086, 2314, 3443, 4054, 3919, 3088, 1871,
719, 61, 142, 931, 2135, 3306, 4010, 3984, 3238, 2050,
861, 112, 84, 785, 1956, 3161, 3952, 4035, 3379, 2228,
1010, 178, 41, 650, 1779, 3007, 3879, 4070, 3509, 2404,
1167, 257, 13, 526, 1605, 2848, 3794, 4090, 3627, 2576,
1329, 349, 1, 414, 1435, 2684, 3696, 4095, 3732, 2743,
1495, 452, 3, 315, 1271, 2516, 3587, 4085, 3825, 2904,
1664, 567, 21, 229, 1114, 2346, 3467, 4060, 3904, 3057,
1835, 691, 52, 156, 964, 2175, 3338, 4022, 3970, 3203,
2006, 824, 98, 97, 823, 2004, 3201, 3969, 4022, 3339,
2176, 965, 157, 52, 691, 1834, 3057, 3904, 4060, 3466,
2344, 1112, 228, 21, 569, 1668, 2908, 3827, 4084, 3583,
2510, 1264, 311, 4, 458, 1504, 2753, 3739, 4095, 3688,
2670, 1421, 405, 0, 359, 1346, 2595, 3639, 4091, 3782,
2826, 1581, 509, 10, 271, 1193, 2434, 3531, 4075, 3864,
2976, 1742, 622, 33, 195, 1047, 2272, 3413, 4045, 3933,
3119, 1905, 744, 69, 131, 908, 2109, 3287, 4004, 3991,
3254, 2067, 873, 117, 80, 777, 1947, 3155, 3950, 4035,
3380, 2228, 1008, 176, 42, 655, 1787, 3017, 3885, 4068,
3497, 2387, 1149, 247, 16, 542, 1630, 2874, 3809, 4087,
3605, 2542, 1295, 328, 2, 440, 1477, 2726, 3723, 4095,
3703, 2694, 1443, 418, 1, 347, 1327, 2576, 3628, 4090,
3790, 2840, 1594, 518, 12, 265, 1183, 2424, 3525, 4074,
3867, 2981, 1747, 625, 34, 194, 1046, 2271, 3413, 4046,
3933, 3116, 1901, 740, 67, 134, 914, 2118, 3295, 4007,
3987, 3244, 2054, 861, 112, 85, 790, 1965, 3171, 3957,
4030, 3364, 2205, 988, 167, 47, 674, 1814, 3041, 3897,
4063, 3476, 2355, 1120, 231, 20, 567, 1666, 2907, 3828,
4084, 3579, 2502, 1256, 305, 5, 467, 1520, 2770, 3750,
4094, 3674, 2646, 1395, 387, 0, 377, 1379, 2630, 3663,
4093, 3759, 2785, 1536, 478, 6, 297, 1242, 2488, 3569,
4082, 3835, 2920, 1679, 576, 22, 226, 1110, 2344, 3468,
4061, 3901, 3049, 1823, 680, 49, 164, 984, 2201, 3360,
4030, 3958, 3172, 1966, 790, 85, 112, 864, 2057, 3247,
3989, 4005, 3289, 2109, 906, 130, 71, 750, 1915, 3129,
3939, 4042, 3399, 2250, 1026, 184, 39, 644, 1775, 3007,
3881, 4069, 3501, 2390, 1150, 246, 16, 546, 1637, 2881,
3814, 4086, 3596, 2526, 1278, 317, 3, 455, 1502, 2753,
3740, 4094, 3683, 2660, 1407, 395, 0, 372, 1370, 2622,
3659, 4093, 3762, 2789, 1539, 479, 6, 297, 1243, 2490,
3571, 4083, 3832, 2914, 1672, 570, 21, 230, 1120, 2357,
3478, 4063, 3895, 3034, 1805, 666, 44, 172, 1002, 2223,
3379, 4036, 3948, 3150, 1938, 768, 76, 123, 890, 2091,
3275, 4000, 3994, 3259, 2071, 874, 116, 82, 784, 1959,
3167, 3956, 4031, 3362, 2202, 983, 164, 49, 683, 1828,
3055, 3905, 4059, 3460, 2331, 1097, 218, 25, 589, 1700,
2940, 3847, 4079, 3550, 2459, 1213, 280, 9, 502, 1574,
2823, 3782, 4091, 3634, 2583, 1331, 348, 1, 421, 1451,
2704, 3711, 4095, 3712, 2705, 1451, 422, 1, 347, 1331,
2583, 3634, 4091, 3782, 2822, 1573, 501, 9, 281, 1215,
2461, 3553, 4080, 3845, 2936, 1695, 585, 24, 221, 1103,
2339, 3466, 4061, 3901, 3046, 1817, 674, 46, 169, 996,
2217, 3375, 4035, 3949, 3151, 1939, 767, 76, 124, 893,
2096, 3280, 4002, 3991, 3251, 2060, 864, 112, 86, 796,
1975, 3182, 3963, 4025, 3346, 2180, 963, 154, 55, 703,
1856, 3081, 3918, 4053, 3436, 2298, 1066, 202, 31, 616,
1739, 2977, 3866, 4073, 3520, 2414, 1171, 256, 14, 535,
1623, 2871, 3810, 4087, 3599, 2528, 1277, 315, 4, 459,
1511, 2764, 3748, 4094, 3672, 2640, 1385, 380, 0, 389,
1401, 2655, 3682, 4094, 3739, 2748, 1494, 448, 3, 325,
1294, 2546, 3611, 4089, 3800, 2853, 1604, 521, 12, 267,
1190, 2436, 3536, 4077, 3855, 2955, 1714, 598, 27, 214,
1090, 2326, 3457, 4059, 3905, 3053, 1824, 678, 47, 168,
994, 2216, 3375, 4035, 3948, 3147, 1933, 762, 74, 127,
902, 2107, 3290, 4006, 3986, 3238, 2042, 848, 105, 92,
814, 1999, 3203, 3972, 4018, 3323, 2149, 937, 142, 63,
730, 1893, 3113, 3933, 4044, 3405, 2255, 1027, 183, 40,
651, 1788, 3022, 3890, 4065, 3482, 2359, 1120, 229, 22,
576, 1684, 2929, 3842, 4080, 3554, 2462, 1213, 279, 9,
506, 1583, 2834, 3790, 4090, 3622, 2562, 1308, 333, 2,
441, 1484, 2739, 3734, 4095, 3685, 2660, 1404, 390, 0,
380, 1387, 2643, 3675, 4094, 3744, 2755, 1500, 451, 3,
324, 1293, 2547, 3612, 4089, 3797, 2848, 1597, 515, 11,
272, 1202, 2450, 3547, 4079, 3847, 2937, 1693, 582, 23,
226, 1114, 2354, 3478, 4064, 3891, 3024, 1789, 652, 40,
184, 1029, 2258, 3408, 4045, 3931, 3107, 1884, 723, 61,
146, 947, 2163, 3335, 4022, 3966, 3187, 1979, 797, 85,
113, 869, 2069, 3261, 3996, 3997, 3264, 2073, 872, 114,
84, 794, 1976, 3184, 3965, 4023, 3337, 2165, 949, 147,
60, 722, 1884, 3107, 3931, 4045, 3407, 2257, 1027, 182,
40, 654, 1793, 3028, 3893, 4063, 3473, 2346, 1107, 221,
24, 590, 1705, 2949, 3853, 4077, 3536, 2434, 1187, 263,
13, 529, 1618, 2868, 3810, 4087, 3595, 2520, 1267, 308,
5, 472, 1532, 2787, 3764, 4093, 3651, 2604, 1348, 355,
1, 418, 1449, 2706, 3715, 4095, 3703, 2687, 1429, 405,
0, 367, 1368, 2625, 3664, 4094, 3751, 2766, 1510, 457,
3, 321, 1290, 2544, 3611, 4089, 3796, 2844, 1591, 511,
10, 278, 1213, 2463, 3557, 4081, 3838, 2919, 1672, 566,
19, 238, 1139, 2383, 3500, 4070, 3876, 2992, 1752, 623,
32, 201, 1067, 2303, 3443, 4056, 3911, 3062, 1831, 682,
48, 168, 998, 2224, 3384, 4039, 3942, 3130, 1910, 741,
66, 139, 932, 2146, 3323, 4019, 3970, 3196, 1988, 802,
87, 112, 868, 2069, 3262, 3997, 3995, 3258, 2064, 864,
110, 88, 806, 1993, 3200, 3972, 4017, 3319, 2140, 926,
136, 68, 747, 1918, 3138, 3945, 4036, 3376, 2214, 989,
164, 50, 691, 1844, 3074, 3917, 4053, 3431, 2287, 1052,
194, 35, 637, 1772, 3011, 3886, 4066, 3483, 2358, 1116,
225, 23, 586, 1702, 2947, 3853, 4077, 3533, 2428, 1179,
259, 14, 538, 1632, 2884, 3819, 4085, 3580, 2497, 1243,
294, 7, 492, 1565, 2820, 3783, 4091, 3625, 2563, 1307,
330, 3, 448, 1499, 2757, 3747, 4094, 3668, 2629, 1370,
367, 0, 407, 1435, 2694, 3708, 4095, 3707, 2692, 1433,
406, 0, 369, 1372, 2631, 3669, 4094, 3745, 2754, 1495,
446, 2, 332, 1311, 2569, 3629, 4091, 3780, 2814, 1557,
487, 6, 298, 1252, 2507, 3588, 4086, 3813, 2872, 1619,
528, 12, 267, 1195, 2446, 3546, 4079, 3843, 2928, 1679,
570, 20, 237, 1140, 2386, 3504, 4071, 3872, 2982, 1739,
613, 29, 210, 1086, 2326, 3461, 4061, 3898, 3035, 1798,
656, 40, 184, 1034, 2268, 3418, 4049, 3923, 3086, 1856,
699, 52, 161, 984, 2210, 3374, 4036, 3945, 3135, 1913,
742, 66, 140, 936, 2154, 3331, 4022, 3965, 3182, 1969,
786, 81, 120, 890, 2098, 3287, 4007, 3984, 3228, 2024,
830, 96, 102, 845, 2044, 3243, 3990, 4001, 3271, 2078,
873, 113, 86, 802, 1990, 3200, 3973, 4016, 3313, 2131,
917, 131, 72, 761, 1938, 3156, 3954, 4030, 3354, 2183,
960, 150, 59, 722, 1887, 3113, 3935, 4042, 3392, 2233,
1003, 169, 48, 684, 1837, 3070, 3916, 4052, 3429, 2282,
1046, 190, 38, 648, 1789, 3028, 3895, 4062, 3464, 2330,
1088, 210, 29, 614, 1742, 2986, 3874, 4070, 3498, 2376,
1130, 231, 22, 581, 1696, 2944, 3853, 4076, 3530, 2422,
1171, 253, 16, 549, 1651, 2904, 3831, 4082, 3561, 2466,
1212, 275, 11, 519, 1608, 2863, 3809, 4086, 3590, 2508,
1252, 297, 7, 491, 1566, 2824, 3787, 4090, 3618, 2550,
1291, 319, 4, 464, 1525, 2785, 3764, 4092, 3644, 2590,
1329, 342, 2, 438, 1486, 2747, 3742, 4094, 3669, 2629,
1367, 364, 0, 414, 1448, 2709, 3719, 4095, 3693, 2666,
1404, 387, 0, 391, 1411, 2673, 3697, 4095, 3715, 2702,
1440, 409, 0, 369, 1375, 2637, 3675, 4094, 3736, 2737,
1476, 431, 1, 348, 1341, 2602, 3653, 4093, 3756, 2771,
1510, 454, 3, 329, 1308, 2568, 3631, 4091, 3775, 2803,
1543, 475, 5, 311, 1276, 2535, 3609, 4089, 3793, 2834,
1576, 497, 7, 293, 1246, 2503, 3588, 4086, 3810, 2864,
1607, 518, 10, 277, 1217, 2472, 3567, 4083, 3826, 2892,
1638, 539, 14, 262, 1189, 2443, 3546, 4080, 3840, 2920,
1667, 559, 17, 247, 1162, 2414, 3526, 4076, 3854, 2946,
1695, 579, 21, 234, 1137, 2386, 3506, 4072, 3867, 2971,
1723, 598, 25, 221, 1112, 2359, 3487, 4068, 3879, 2994,
1749, 617, 30, 210, 1089, 2333, 3468, 4063, 3891, 3017,
1774, 636, 34, 199, 1067, 2308, 3451, 4059, 3901, 3039,
1798, 653, 39, 189, 1046, 2285, 3433, 4054, 3911, 3059,
1822, 670, 43, 179, 1026, 2262, 3417, 4050, 3920, 3078,
1843, 687, 48, 170, 1008, 2241, 3401, 4045, 3929, 3096,
1864, 702, 52, 162, 990, 2221, 3385, 4040, 3937, 3113,
1884, 717, 57, 155, 974, 2201, 3371, 4036, 3944, 3129,
1903, 731, 61, 148, 958, 2183, 3357, 4032, 3950, 3144,
1920, 745, 65, 141, 944, 2166, 3344, 4027, 3957, 3158,
1937, 757, 70, 136, 930, 2151, 3332, 4023, 3962, 3171,
1952, 769, 74, 130, 918, 2136, 3320, 4020, 3967, 3183,
1966, 780, 77, 126, 906, 2122, 3310, 4016, 3972, 3194,
1979, 790, 81, 121, 896, 2110, 3300, 4013, 3976, 3204,
1991, 800, 84, 117, 887, 2099, 3291, 4009, 3979, 3213,
2002, 808, 87, 114, 878, 2088, 3283, 4006, 3983, 3221,
2011, 816, 90, 111, 871, 2079, 3276, 4004, 3986, 3228,
2020, 822, 92, 108, 864, 2071, 3270, 4002, 3988, 3234,
2027, 828, 94, 106, 858, 2065, 3264, 4000, 3990, 3239,
2033, 833, 96, 104, 854, 2059, 3260, 3998, 3992, 3243,
2038, 837, 98, 103, 850, 2054, 3256, 3997, 3993, 3247,
2042, 840, 99, 101, 847, 2051, 3254, 3996, 3994, 3249,
2045, 842, 100, 101, 845, 2049, 3252, 3995, 3995, 3250,
2047, 844, 100, 100, 844, 2048, 3251, 3995, 3995, 3251,
3251, 2047, 844, 100, 100, 844, 2047, 3251, 3995, 3995,
3251, 2048, 845, 101, 100, 843, 2046, 3250, 3994, 3995,
3253, 2050, 846, 101, 99, 841, 2044, 3248, 3993, 3996,
3255, 2053, 849, 102, 98, 838, 2040, 3245, 3992, 3997,
3258, 2057, 852, 103, 97, 835, 2036, 3241, 3991, 3999,
3262, 2062, 856, 105, 95, 830, 2030, 3236, 3989, 4001,
3267, 2069, 862, 107, 93, 825, 2023, 3230, 3987, 4003,
3273, 2076, 868, 110, 91, 818, 2015, 3224, 3984, 4005,
3280, 2085, 875, 113, 88, 811, 2006, 3216, 3981, 4008,
3288, 2094, 883, 116, 85, 803, 1995, 3208, 3977, 4011,
3296, 2105, 892, 120, 82, 794, 1984, 3198, 3973, 4015,
3306, 2117, 902, 124, 79, 784, 1971, 3187, 3969, 4018,
3316, 2130, 913, 128, 75, 774, 1958, 3176, 3964, 4022,
3327, 2145, 925, 133, 71, 762, 1943, 3163, 3959, 4026,
3339, 2160, 938, 139, 67, 750, 1927, 3150, 3953, 4030,
3352, 2176, 952, 145, 63, 737, 1910, 3135, 3947, 4034,
3365, 2194, 967, 152, 59, 723, 1892, 3120, 3940, 4039,
3379, 2213, 983, 159, 54, 708, 1872, 3103, 3932, 4043,
3394, 2233, 1001, 167, 50, 693, 1852, 3085, 3924, 4048,
3410, 2254, 1019, 176, 45, 677, 1830, 3067, 3915, 4052,
3426, 2276, 1038, 185, 40, 660, 1808, 3047, 3905, 4057,
3444, 2299, 1059, 195, 36, 643, 1784, 3026, 3895, 4061,
3461, 2323, 1080, 205, 31, 625, 1759, 3004, 3884, 4066,
3480, 2348, 1103, 217, 27, 606, 1733, 2980, 3872, 4070,
3498, 2375, 1127, 229, 23, 587, 1707, 2956, 3860, 4074,
3518, 2402, 1152, 242, 19, 567, 1679, 2930, 3846, 4078,
3538, 2431, 1178, 256, 15, 547, 1650, 2903, 3832, 4082,
3558, 2460, 1206, 271, 12, 526, 1619, 2875, 3816, 4085,
3579, 2491, 1234, 287, 9, 505, 1588, 2846, 3800, 4088,
3600, 2522, 1264, 304, 6, 484, 1556, 2815, 3783, 4090,
3622, 2555, 1295, 321, 4, 462, 1523, 2784, 3764, 4092,
3644, 2588, 1328, 340, 2, 440, 1489, 2751, 3745, 4094,
3666, 2623, 1361, 361, 1, 418, 1455, 2716, 3724, 4095,
3688, 2658, 1396, 382, 0, 396, 1419, 2681, 3702, 4095,
3710, 2694, 1433, 404, 0, 373, 1382, 2644, 3679, 4094,
3733, 2731, 1470, 428, 1, 351, 1345, 2605, 3654, 4093,
3755, 2769, 1509, 453, 3, 328, 1306, 2566, 3629, 4091,
3778, 2808, 1549, 480, 5, 306, 1267, 2525, 3601, 4088,
3800, 2847, 1591, 508, 9, 284, 1228, 2483, 3573, 4084,
3822, 2887, 1634, 537, 14, 262, 1187, 2439, 3543, 4079,
3844, 2928, 1678, 568, 19, 240, 1146, 2395, 3511, 4073,
3866, 2969, 1723, 600, 26, 219, 1105, 2349, 3478, 4065,
3887, 3011, 1770, 634, 34, 198, 1063, 2301, 3443, 4056,
3907, 3053, 1818, 669, 44, 177, 1020, 2253, 3407, 4046,
3928, 3096, 1867, 707, 54, 158, 977, 2203, 3369, 4035,
3947, 3139, 1918, 745, 67, 139, 934, 2152, 3330, 4022,
3966, 3182, 1969, 786, 80, 120, 891, 2099, 3288, 4007,
3983, 3226, 2022, 828, 96, 103, 847, 2046, 3245, 3991,
4000, 3270, 2076, 872, 113, 87, 804, 1991, 3201, 3973,
4016, 3313, 2131, 917, 132, 72, 760, 1936, 3154, 3953,
4031, 3357, 2187, 965, 152, 57, 716, 1879, 3106, 3932,
4044, 3401, 2245, 1014, 175, 45, 673, 1821, 3056, 3908,
4056, 3444, 2303, 1065, 199, 33, 630, 1763, 3004, 3883,
4067, 3487, 2362, 1118, 226, 23, 587, 1703, 2950, 3855,
4076, 3529, 2422, 1173, 255, 15, 545, 1643, 2894, 3825,
4083, 3571, 2482, 1229, 285, 8, 503, 1582, 2837, 3793,
4089, 3613, 2544, 1287, 318, 4, 462, 1520, 2778, 3759,
4093, 3653, 2606, 1347, 354, 1, 422, 1458, 2717, 3723,
4095, 3693, 2668, 1409, 392, 0, 383, 1395, 2654, 3684,
4095, 3731, 2731, 1473, 432, 1, 345, 1332, 2590, 3642,
4092, 3769, 2795, 1538, 474, 5, 308, 1269, 2524, 3599,
4087, 3805, 2858, 1605, 519, 11, 272, 1205, 2456, 3552,
4080, 3840, 2922, 1674, 567, 19, 238, 1141, 2386, 3504,
4071, 3873, 2986, 1744, 617, 30, 206, 1078, 2316, 3452,
4058, 3904, 3049, 1815, 669, 44, 176, 1014, 2243, 3398,
4043, 3934, 3112, 1888, 725, 60, 147, 951, 2170, 3342,
4025, 3962, 3175, 1963, 782, 80, 120, 889, 2095, 3283,
4004, 3987, 3237, 2038, 843, 102, 96, 827, 2018, 3221,
3981, 4010, 3299, 2115, 906, 127, 74, 766, 1941, 3157,
3954, 4031, 3360, 2193, 971, 156, 55, 706, 1863, 3090,
3924, 4049, 3419, 2272, 1039, 188, 38, 647, 1784, 3021,
3890, 4064, 3477, 2351, 1110, 223, 24, 589, 1704, 2949,
3853, 4077, 3534, 2431, 1183, 261, 13, 533, 1624, 2874,
3813, 4086, 3590, 2512, 1259, 303, 5, 478, 1543, 2798,
3770, 4092, 3643, 2593, 1336, 348, 1, 426, 1462, 2719,
3723, 4095, 3695, 2674, 1417, 397, 0, 375, 1381, 2638,
3672, 4094, 3744, 2755, 1499, 450, 3, 327, 1299, 2554,
3618, 4090, 3791, 2836, 1583, 505, 9, 281, 1219, 2469,
3560, 4081, 3836, 2916, 1670, 565, 19, 238, 1138, 2382,
3499, 4069, 3878, 2996, 1758, 628, 33, 198, 1059, 2293,
3434, 4053, 3916, 3076, 1847, 695, 52, 161, 980, 2202,
3366, 4033, 3952, 3154, 1939, 765, 74, 127, 903, 2110,
3294, 4008, 3984, 3230, 2031, 839, 101, 97, 827, 2017,
3218, 3979, 4012, 3306, 2125, 916, 132, 70, 752, 1922,
3140, 3945, 4037, 3379, 2220, 996, 168, 47, 680, 1827,
3057, 3907, 4057, 3450, 2316, 1080, 208, 29, 610, 1731,
2972, 3865, 4074, 3520, 2412, 1167, 253, 15, 542, 1635,
2884, 3818, 4085, 3586, 2508, 1257, 303, 5, 477, 1539,
2792, 3766, 4093, 3650, 2604, 1349, 357, 1, 414, 1442,
2698, 3709, 4095, 3711, 2701, 1445, 416, 1, 355, 1347,
2601, 3648, 4092, 3768, 2796, 1543, 479, 6, 300, 1251,
2502, 3582, 4085, 3821, 2891, 1643, 548, 16, 248, 1157,
2401, 3511, 4072, 3871, 2985, 1746, 621, 32, 201, 1064,
2297, 3436, 4053, 3916, 3077, 1850, 698, 53, 158, 973,
2192, 3356, 4029, 3957, 3167, 1957, 780, 80, 119, 883,
2085, 3272, 4000, 3993, 3256, 2064, 866, 112, 86, 796,
1977, 3184, 3964, 4024, 3342, 2173, 957, 151, 57, 711,
1868, 3091, 3923, 4050, 3425, 2282, 1051, 195, 34, 630,
1758, 2995, 3876, 4070, 3505, 2392, 1150, 245, 17, 552,
1648, 2895, 3823, 4084, 3581, 2502, 1252, 301, 6, 477,
1538, 2791, 3764, 4093, 3654, 2611, 1358, 363, 0, 407,
1429, 2683, 3699, 4095, 3722, 2720, 1466, 430, 1, 341,
1320, 2573, 3629, 4091, 3786, 2828, 1578, 504, 9, 279,
1213, 2460, 3552, 4080, 3844, 2935, 1692, 583, 23, 223,
1108, 2345, 3470, 4062, 3898, 3039, 1809, 668, 45, 173,
1004, 2227, 3383, 4037, 3945, 3142, 1927, 758, 73, 128,
903, 2108, 3290, 4006, 3987, 3241, 2047, 854, 108, 89,
805, 1987, 3192, 3967, 4023, 3337, 2169, 954, 150, 57,
711, 1865, 3088, 3921, 4051, 3430, 2291, 1060, 200, 32,
620, 1743, 2981, 3868, 4073, 3518, 2413, 1170, 256, 14,
534, 1621, 2868, 3808, 4087, 3602, 2535, 1284, 320, 3,
453, 1500, 2752, 3741, 4094, 3681, 2656, 1402, 391, 0,
377, 1379, 2632, 3666, 4094, 3754, 2776, 1524, 469, 5,
306, 1260, 2509, 3585, 4085, 3822, 2894, 1649, 553, 17,
242, 1143, 2383, 3497, 4068, 3883, 3010, 1776, 645, 38,
185, 1028, 2254, 3402, 4043, 3937, 3123, 1906, 743, 68,
134, 917, 2123, 3301, 4010, 3983, 3232, 2038, 847, 105,
91, 809, 1991, 3194, 3968, 4022, 3338, 2170, 957, 152,
56, 706, 1858, 3081, 3917, 4053, 3439, 2303, 1072, 206,
29, 608, 1725, 2963, 3858, 4076, 3535, 2437, 1193, 269,
11, 515, 1592, 2840, 3791, 4090, 3625, 2569, 1319, 341,
1, 428, 1460, 2712, 3715, 4095, 3709, 2701, 1449, 420,
1, 347, 1329, 2580, 3632, 4091, 3786, 2830, 1582, 508,
10, 274, 1201, 2445, 3540, 4077, 3855, 2957, 1719, 604,
28, 208, 1075, 2306, 3441, 4054, 3917, 3081, 1859, 707,
57, 150, 954, 2166, 3334, 4021, 3970, 3201, 2000, 817,
95, 102, 836, 2023, 3220, 3978, 4014, 3316, 2143, 935,
142, 62, 724, 1880, 3099, 3925, 4050, 3426, 2287, 1059,
200, 32, 617, 1736, 2972, 3863, 4075, 3529, 2430, 1188,
267, 11, 516, 1593, 2840, 3791, 4090, 3627, 2573, 1323,
344, 1, 423, 1451, 2702, 3709, 4095, 3716, 2714, 1463,
430, 2, 337, 1311, 2560, 3618, 4089, 3798, 2853, 1607,
526, 13, 260, 1174, 2415, 3518, 4072, 3871, 2988, 1754,
630, 35, 191, 1041, 2266, 3409, 4045, 3934, 3120, 1905,
743, 68, 133, 912, 2115, 3293, 4006, 3988, 3246, 2057,
864, 113, 84, 788, 1962, 3168, 3956, 4031, 3367, 2210,
992, 169, 46, 670, 1809, 3036, 3895, 4064, 3481, 2363,
1128, 235, 19, 560, 1655, 2897, 3822, 4085, 3588, 2516,
1269, 313, 4, 457, 1503, 2753, 3739, 4094, 3686, 2667,
1416, 401, 0, 363, 1354, 2603, 3646, 4092, 3776, 2815,
1568, 500, 9, 278, 1207, 2449, 3542, 4077, 3856, 2960,
1724, 609, 30, 203, 1064, 2292, 3428, 4050, 3925, 3100,
1883, 727, 63, 139, 926, 2131, 3305, 4010, 3984, 3235,
2044, 855, 109, 87, 795, 1970, 3174, 3958, 4030, 3364,
2207, 990, 168, 46, 670, 1807, 3034, 3893, 4065, 3485,
2369, 1134, 239, 18, 553, 1645, 2887, 3816, 4086, 3597,
2531, 1284, 322, 3, 445, 1484, 2733, 3727, 4095, 3700,
2690, 1440, 417, 1, 347, 1326, 2574, 3626, 4090, 3793,
2846, 1602, 523, 13, 260, 1172, 2411, 3514, 4071, 3875,
2998, 1767, 641, 38, 184, 1023, 2244, 3391, 4039, 3945,
3145, 1936, 769, 78, 120, 880, 2074, 3259, 3992, 4002,
3284, 2106, 906, 131, 69, 743, 1903, 3117, 3932, 4046,
3417, 2277, 1053, 198, 32, 615, 1732, 2966, 3858, 4077,
3540, 2448, 1207, 279, 9, 497, 1562, 2808, 3771, 4093,
3653, 2617, 1369, 373, 0, 389, 1395, 2643, 3670, 4094,
3756, 2783, 1536, 480, 6, 292, 1231, 2473, 3557, 4080,
3847, 2944, 1709, 599, 28, 208, 1072, 2299, 3432, 4051,
3924, 3100, 1885, 730, 65, 137, 919, 2121, 3296, 4006,
3988, 3249, 2063, 871, 117, 80, 775, 1942, 3149, 3947,
4038, 3390, 2242, 1023, 184, 38, 639, 1763, 2993, 3872,
4073, 3521, 2421, 1183, 266, 11, 513, 1585, 2829, 3782,
4091, 3641, 2598, 1351, 363, 0, 398, 1409, 2657, 3679,
4094, 3749, 2772, 1526, 474, 6, 296, 1237, 2479, 3561,
4080, 3845, 2941, 1706, 598, 28, 208, 1071, 2297, 3430,
4050, 3926, 3104, 1890, 734, 66, 134, 912, 2112, 3288,
4003, 3992, 3259, 2077, 883, 122, 76, 761, 1925, 3134,
3939, 4043, 3405, 2264, 1042, 194, 33, 621, 1738, 2970,
3859, 4076, 3541, 2450, 1211, 282, 8, 491, 1552, 2797,
3763, 4093, 3664, 2635, 1388, 385, 0, 374, 1370, 2616,
3652, 4092, 3774, 2815, 1571, 504, 10, 271, 1192, 2430,
3526, 4073, 3869, 2990, 1760, 637, 38, 184, 1021, 2239,
3386, 4037, 3949, 3157, 1953, 784, 84, 112, 858, 2045,
3233, 3982, 4013, 3315, 2147, 943, 148, 57, 705, 1850,
3069, 3909, 4059, 3463, 2342, 1112, 229, 20, 563, 1656,
2894, 3818, 4086, 3598, 2535, 1291, 328, 2, 434, 1464,
2711, 3711, 4095, 3720, 2725, 1479, 444, 3, 320, 1277,
2520, 3588, 4085, 3827, 2909, 1673, 575, 23, 221, 1096,
2324, 3449, 4055, 3917, 3087, 1871, 721, 62, 139, 923,
2123, 3296, 4006, 3990, 3255, 2072, 881, 121, 75, 760,
1921, 3130, 3937, 4044, 3412, 2275, 1053, 200, 31, 609,
1720, 2952, 3849, 4079, 3557, 2476, 1236, 296, 6, 471,
1520, 2764, 3743, 4094, 3688, 2674, 1428, 411, 1, 348,
1324, 2568, 3620, 4089, 3802, 2866, 1627, 543, 17, 242,
1135, 2366, 3479, 4063, 3900, 3052, 1832, 692, 53, 153,
954, 2160, 3324, 4015, 3979, 3228, 2040, 855, 111, 84,
783, 1951, 3154, 3947, 4038, 3392, 2249, 1031, 189, 35,
625, 1742, 2971, 3859, 4077, 3544, 2457, 1219, 287, 7,
481, 1535, 2778, 3751, 4094, 3680, 2662, 1417, 405, 0,
353, 1332, 2576, 3624, 4089, 3799, 2862, 1623, 541, 16,
243, 1136, 2367, 3480, 4063, 3900, 3053, 1834, 694, 54,
151, 950, 2154, 3318, 4013, 3982, 3235, 2049, 863, 115,
81, 774, 1938, 3142, 3942, 4042, 3404, 2265, 1046, 197,
32, 612, 1722, 2953, 3849, 4080, 3559, 2480, 1241, 300,
5, 465, 1509, 2752, 3735, 4095, 3698, 2691, 1446, 424,
1, 335, 1301, 2543, 3602, 4086, 3818, 2895, 1660, 567,
22, 224, 1100, 2326, 3449, 4055, 3918, 3091, 1879, 728,
65, 134, 910, 2106, 3280, 3999, 3997, 3276, 2101, 906,
133, 66, 732, 1883, 3095, 3920, 4054, 3447, 2323, 1098,
223, 22, 569, 1661, 2896, 3818, 4086, 3602, 2544, 1302,
336, 1, 422, 1443, 2687, 3695, 4095, 3739, 2759, 1516,
470, 6, 295, 1231, 2468, 3550, 4078, 3856, 2967, 1738,
624, 35, 188, 1028, 2244, 3387, 4036, 3951, 3164, 1965,
796, 89, 104, 837, 2015, 3206, 3969, 4024, 3349, 2194,
985, 168, 44, 659, 1786, 3010, 3878, 4071, 3518, 2422,
1189, 272, 9, 499, 1560, 2800, 3763, 4093, 3669, 2647,
1404, 398, 0, 358, 1338, 2580, 3626, 4089, 3800, 2865,
1628, 546, 17, 237, 1124, 2352, 3467, 4059, 3909, 3073,
1859, 715, 61, 140, 922, 2119, 3289, 4002, 3995, 3269,
2094, 901, 131, 67, 733, 1883, 3094, 3919, 4054, 3450,
2329, 1104, 227, 20, 561, 1649, 2884, 3811, 4088, 3613,
2562, 1321, 348, 1, 408, 1419, 2662, 3678, 4094, 3756,
2788, 1548, 492, 8, 276, 1197, 2430, 3523, 4072, 3876,
3006, 1783, 658, 44, 168, 985, 2192, 3347, 4022, 3971,
3211, 2023, 844, 108, 86, 786, 1951, 3151, 3945, 4040,
3402, 2265, 1048, 199, 30, 605, 1710, 2940, 3841, 4082,
3574, 2504, 1266, 316, 3, 443, 1473, 2715, 3711, 4095,
3725, 2738, 1497, 458, 4, 303, 1243, 2479, 3557, 4079,
3853, 2964, 1737, 624, 35, 187, 1023, 2236, 3380, 4033,
3956, 3177, 1982, 811, 95, 98, 817, 1990, 3183, 3959,
4032, 3374, 2229, 1017, 184, 36, 629, 1743, 2969, 3856,
4078, 3554, 2475, 1239, 301, 5, 460, 1499, 2740, 3726,
4095, 3711, 2716, 1474, 444, 3, 314, 1262, 2499, 3570,
4081, 3845, 2947, 1719, 612, 32, 194, 1036, 2251, 3391,
4037, 3951, 3166, 1970, 802, 92, 101, 825, 1999, 3190,
3962, 4030, 3369, 2223, 1012, 182, 37, 631, 1746, 2971,
3857, 4078, 3553, 2475, 1239, 301, 5, 459, 1496, 2737,
3724, 4095, 3714, 2721, 1480, 448, 3, 310, 1255, 2491,
3564, 4080, 3850, 2957, 1731, 621, 35, 188, 1024, 2236,
3379, 4033, 3957, 3180, 1987, 816, 98, 95, 809, 1978,
3173, 3954, 4035, 3387, 2246, 1033, 192, 33, 613, 1720,
2947, 3844, 4081, 3572, 2503, 1267, 317, 3, 439, 1466,
2706, 3705, 4095, 3734, 2753, 1514, 471, 6, 291, 1220,
2453, 3537, 4075, 3868, 2993, 1771, 651, 43, 170, 987,
2193, 3345, 4021, 3973, 3219, 2034, 855, 113, 81, 770,
1928, 3130, 3935, 4047, 3426, 2299, 1080, 216, 24, 574,
1665, 2896, 3816, 4087, 3610, 2560, 1322, 350, 1, 402,
1407, 2647, 3667, 4093, 3769, 2813, 1577, 513, 12, 257,
1159, 2387, 3490, 4064, 3899, 3055, 1842, 704, 59, 143,
925, 2119, 3287, 4000, 3998, 3280, 2111, 918, 140, 60,
710, 1849, 3062, 3902, 4063, 3485, 2380, 1153, 254, 13,
517, 1582, 2818, 3771, 4093, 3665, 2644, 1405, 401, 0,
350, 1322, 2559, 3609, 4087, 3818, 2899, 1669, 578, 25,
213, 1073, 2290, 3419, 4045, 3939, 3140, 1941, 781, 85,
108, 841, 2016, 3203, 3966, 4027, 3363, 2216, 1008, 181,
37, 630, 1741, 2965, 3853, 4079, 3562, 2490, 1256, 311,
3, 444, 1471, 2710, 3706, 4095, 3734, 2756, 1518, 474,
7, 286, 1210, 2441, 3528, 4073, 3876, 3010, 1792, 667,
48, 160, 964, 2164, 3322, 4013, 3984, 3247, 2071, 886,
126, 70, 737, 1884, 3091, 3916, 4057, 3463, 2351, 1128,
241, 16, 534, 1606, 2839, 3783, 4092, 3653, 2626, 1388,
391, 0, 358, 1335, 2572, 3617, 4088, 3813, 2892, 1662,
573, 24, 215, 1076, 2293, 3420, 4045, 3939, 3142, 1944,
784, 86, 106, 835, 2008, 3195, 3963, 4030, 3372, 2230,
1021, 187, 34, 617, 1723, 2948, 3843, 4082, 3577, 2513,
1278, 325, 2, 426, 1444, 2682, 3688, 4094, 3753, 2788,
1552, 498, 10, 267, 1175, 2402, 3499, 4066, 3895, 3049,
1837, 702, 58, 142, 922, 2114, 3281, 3997, 4001, 3291,
2127, 933, 147, 55, 691, 1823, 3037, 3889, 4068, 3509,
2416, 1188, 274, 8, 487, 1536, 2772, 3743, 4095, 3699,
2699, 1462, 439, 3, 314, 1258, 2491, 3562, 4079, 3855,
2970, 1749, 636, 39, 176, 996, 2200, 3348, 4022, 3974,
3223, 2043, 864, 118, 76, 754, 1905, 3107, 3923, 4054,
3452, 2338, 1117, 237, 17, 539, 1611, 2843, 3784, 4092,
3653, 2628, 1391, 394, 0, 354, 1326, 2561, 3609, 4087,
3820, 2907, 1680, 587, 27, 205, 1055, 2267, 3399, 4038,
3951, 3169, 1978, 812, 97, 94, 804, 1967, 3160, 3947,
4041, 3407, 2278, 1064, 210, 25, 579, 1668, 2896, 3814,
4088, 3617, 2574, 1339, 362, 0, 385, 1376, 2612, 3642,
4091, 3794, 2860, 1630, 552, 20, 227, 1098, 2315, 3435,
4049, 3933, 3130, 1932, 776, 84, 108, 839, 2011, 3196,
3962, 4031, 3376, 2237, 1029, 192, 32, 607, 1706, 2931,
3833, 4084, 3593, 2539, 1305, 342, 1, 405, 1409, 2645,
3663, 4093, 3777, 2831, 1599, 531, 16, 241, 1124, 2344,
3456, 4055, 3922, 3106, 1905, 755, 77, 116, 859, 2035,
3216, 3971, 4025, 3358, 2214, 1010, 183, 36, 621, 1726,
2948, 3842, 4082, 3581, 2522, 1289, 333, 1, 415, 1423,
2659, 3672, 4093, 3770, 2819, 1587, 523, 14, 246, 1134,
2354, 3463, 4056, 3918, 3099, 1897, 749, 75, 118, 864,
2041, 3220, 3972, 4024, 3355, 2211, 1007, 182, 36, 622,
1727, 2949, 3842, 4082, 3582, 2523, 1291, 334, 1, 413,
1420, 2655, 3669, 4093, 3773, 2824, 1593, 528, 15, 242,
1126, 2345, 3456, 4055, 3922, 3108, 1908, 758, 78, 114,
854, 2028, 3209, 3967, 4027, 3367, 2227, 1021, 189, 33,
610, 1709, 2932, 3833, 4085, 3595, 2543, 1310, 346, 1,
400, 1398, 2633, 3655, 4092, 3786, 2847, 1618, 545, 18,
230, 1102, 2318, 3436, 4049, 3934, 3133, 1938, 782, 87,
104, 828, 1995, 3182, 3955, 4036, 3393, 2261, 1052, 204,
27, 584, 1673, 2898, 3814, 4088, 3620, 2581, 1348, 369,
0, 376, 1359, 2592, 3628, 4089, 3808, 2888, 1662, 576,
25, 209, 1061, 2271, 3401, 4038, 3952, 3174, 1987, 822,
102, 89, 787, 1944, 3138, 3936, 4048, 3433, 2315, 1100,
229, 19, 545, 1618, 2846, 3785, 4092, 3657, 2637, 1403,
403, 1, 341, 1302, 2533, 3588, 4083, 3839, 2945, 1724,
621, 36, 181, 1004, 2206, 3350, 4021, 3976, 3230, 2055,
877, 124, 70, 733, 1874, 3077, 3907, 4062, 3485, 2387,
1165, 264, 10, 496, 1545, 2776, 3743, 4095, 3703, 2711,
1478, 451, 4, 299, 1228, 2455, 3533, 4073, 3877, 3018,
1806, 682, 53, 148, 932, 2121, 3283, 3997, 4003, 3300,
2142, 950, 156, 49, 666, 1785, 2998, 3867, 4076, 3549,
2477, 1249, 311, 3, 436, 1454, 2687, 3688, 4094, 3758,
2801, 1571, 514, 13, 250, 1139, 2357, 3463, 4056, 3920,
3106, 1907, 760, 79, 112, 847, 2017, 3198, 3962, 4032,
3382, 2248, 1042, 200, 28, 588, 1677, 2901, 3815, 4088,
3622, 2585, 1353, 373, 0, 369, 1347, 2578, 3617, 4087,
3818, 2907, 1685, 594, 29, 197, 1034, 2240, 3375, 4029,
3966, 3207, 2028, 856, 116, 76, 750, 1894, 3094, 3915,
4059, 3474, 2373, 1153, 258, 11, 502, 1553, 2783, 3746,
4095, 3701, 2709, 1477, 452, 4, 297, 1224, 2449, 3529,
4072, 3882, 3028, 1818, 692, 57, 142, 918, 2102, 3267,
3990, 4010, 3319, 2167, 973, 167, 43, 644, 1753, 2969,
3852, 4081, 3574, 2514, 1286, 333, 1, 410, 1412, 2644,
3660, 4092, 3784, 2848, 1622, 550, 20, 224, 1088, 2299,
3419, 4043, 3945, 3160, 1972, 812, 99, 91, 791, 1946,
3138, 3935, 4049, 3439, 2325, 1111, 236, 16, 531, 1595,
2822, 3769, 4093, 3677, 2671, 1440, 428, 2, 316, 1256,
2483, 3552, 4076, 3867, 3000, 1788, 670, 50, 153, 941,
2129, 3288, 3998, 4003, 3300, 2145, 954, 159, 47, 658,
1772, 2985, 3859, 4079, 3563, 2500, 1273, 326, 2, 417,
1421, 2653, 3665, 4093, 3781, 2842, 1617, 547, 19, 225,
1090, 2300, 3420, 4043, 3945, 3161, 1975, 815, 100, 89,
786, 1939, 3131, 3931, 4051, 3446, 2336, 1122, 242, 15,
522, 1580, 2808, 3760, 4094, 3688, 2690, 1459, 441, 3,
304, 1235, 2459, 3535, 4073, 3879, 3024, 1816, 691, 57,
142, 915, 2097, 3261, 3987, 4013, 3328, 2181, 986, 174,
39, 629, 1732, 2948, 3840, 4084, 3592, 2543, 1315, 351,
0, 388, 1376, 2605, 3634, 4089, 3808, 2891, 1669, 584,
28, 200, 1040, 2243, 3376, 4029, 3967, 3212, 2036, 865,
121, 72, 736, 1874, 3074, 3904, 4064, 3496, 2405, 1185,
277, 7, 474, 1509, 2738, 3718, 4095, 3733, 2763, 1535,
491, 10, 263, 1161, 2378, 3476, 4059, 3916, 3099, 1902,
758, 80, 111, 841, 2006, 3186, 3956, 4037, 3400, 2276,
1069, 215, 22, 560, 1634, 2858, 3789, 4092, 3658, 2643,
1413, 412, 1, 328, 1275, 2501, 3563, 4078, 3862, 2991,
1780, 665, 49, 154, 941, 2128, 3285, 3996, 4005, 3308,
2156, 966, 165, 43, 644, 1750, 2964, 3848, 4082, 3583,
2530, 1304, 345, 0, 393, 1382, 2611, 3637, 4090, 3806,
2889, 1669, 585, 28, 199, 1036, 2238, 3371, 4027, 3970,
3220, 2048, 875, 125, 68, 724, 1857, 3058, 3896, 4067,
3511, 2428, 1207, 289, 5, 457, 1481, 2710, 3700, 4094,
3752, 2795, 1569, 516, 14, 244, 1124, 2337, 3445, 4050,
3934, 3138, 1950, 796, 94, 95, 799, 1953, 3141, 3935,
4049, 3443, 2334, 1122, 243, 14, 517, 1571, 2796, 3752,
4094, 3700, 2710, 1482, 457, 5, 288, 1205, 2425, 3509,
4067, 3898, 3063, 1863, 729, 70, 122, 868, 2038, 3212,
3966, 4030, 3381, 2251, 1049, 206, 25, 573, 1651, 2872,
3796, 4091, 3651, 2634, 1406, 409, 1, 330, 1277, 2501,
3562, 4078, 3864, 2996, 1787, 672, 52, 149, 930, 2113,
3272, 3991, 4010, 3324, 2179, 986, 175, 38, 623, 1721,
2936, 3831, 4086, 3607, 2567, 1341, 368, 0, 368, 1340,
2566, 3606, 4085, 3832, 2937, 1722, 624, 38, 174, 984,
2176, 3322, 4009, 3992, 3275, 2117, 934, 151, 50, 667,
1780, 2989, 3860, 4079, 3568, 2510, 1287, 336, 1, 401,
1393, 2620, 3642, 4090, 3804, 2887, 1669, 586, 28, 197,
1030, 2229, 3362, 4024, 3975, 3234, 2066, 892, 133, 62,
704, 1829, 3032, 3882, 4072, 3536, 2464, 1243, 311, 3,
429, 1437, 2664, 3669, 4093, 3781, 2847, 1626, 556, 22,
215, 1067, 2270, 3394, 4034, 3961, 3200, 2026, 859, 119,
72, 733, 1867, 3065, 3898, 4067, 3510, 2428, 1210, 292,
5, 451, 1470, 2696, 3690, 4094, 3763, 2817, 1594, 534,
17, 229, 1094, 2301, 3417, 4041, 3950, 3176, 1997, 836,
110, 79, 755, 1894, 3089, 3910, 4062, 3492, 2403, 1187,
279, 7, 466, 1493, 2719, 3704, 4095, 3751, 2796, 1573,
520, 15, 239, 1112, 2321, 3431, 4046, 3943, 3160, 1979,
822, 104, 84, 768, 1911, 3103, 3916, 4059, 3481, 2388,
1174, 272, 8, 474, 1505, 2731, 3711, 4095, 3744, 2786,
1562, 513, 14, 244, 1121, 2330, 3438, 4047, 3940, 3154,
1971, 816, 102, 86, 773, 1917, 3107, 3918, 4058, 3478,
2385, 1170, 271, 8, 476, 1508, 2732, 3712, 4095, 3744,
2785, 1562, 513, 14, 243, 1120, 2328, 3436, 4047, 3941,
3156, 1975, 819, 104, 85, 769, 1911, 3103, 3916, 4060,
3483, 2391, 1177, 275, 7, 471, 1499, 2724, 3706, 4095,
3750, 2795, 1572, 520, 15, 238, 1109, 2316, 3427, 4044,
3946, 3168, 1989, 831, 108, 80, 757, 1895, 3089, 3909,
4063, 3495, 2409, 1194, 284, 6, 459, 1480, 2705, 3694,
4094, 3761, 2815, 1594, 535, 18, 227, 1088, 2293, 3409,
4038, 3955, 3189, 2014, 851, 117, 73, 736, 1869, 3065,
3897, 4067, 3515, 2437, 1220, 299, 4, 440, 1451, 2676,
3676, 4093, 3778, 2844, 1625, 557, 22, 212, 1058, 2258,
3383, 4030, 3968, 3218, 2050, 881, 129, 64, 708, 1831,
3032, 3880, 4073, 3542, 2476, 1257, 320, 2, 415, 1412,
2636, 3650, 4091, 3801, 2884, 1668, 588, 29, 193, 1019,
2213, 3348, 4018, 3983, 3256, 2097, 920, 147, 52, 671,
1783, 2988, 3858, 4080, 3576, 2525, 1304, 348, 0, 384,
1362, 2585, 3616, 4087, 3828, 2933, 1722, 627, 39, 170,
972, 2158, 3304, 4002, 4001, 3302, 2155, 969, 169, 40,
628, 1724, 2935, 3829, 4086, 3616, 2585, 1362, 384, 0,
348, 1303, 2524, 3575, 4080, 3859, 2991, 1786, 675, 53,
145, 915, 2091, 3250, 3981, 4020, 3355, 2223, 1029, 198,
27, 578, 1654, 2870, 3793, 4092, 3661, 2654, 1430, 427,
3, 308, 1235, 2451, 3524, 4069, 3893, 3058, 1862, 732,
72, 117, 852, 2013, 3186, 3953, 4040, 3415, 2303, 1099,
234, 16, 523, 1575, 2795, 3748, 4095, 3711, 2733, 1511,
480, 9, 265, 1158, 2368, 3463, 4054, 3929, 3132, 1948,
800, 97, 90, 781, 1924, 3111, 3919, 4059, 3481, 2392,
1180, 278, 6, 463, 1485, 2708, 3695, 4094, 3763, 2821,
1602, 542, 20, 220, 1072, 2272, 3392, 4032, 3965, 3213,
2046, 880, 129, 63, 705, 1825, 3025, 3876, 4075, 3551,
2492, 1273, 331, 1, 400, 1387, 2609, 3631, 4088, 3818,
2917, 1705, 616, 37, 175, 980, 2166, 3309, 4003, 4000,
3301, 2155, 971, 170, 39, 623, 1715, 2926, 3823, 4088,
3625, 2600, 1379, 395, 1, 335, 1280, 2498, 3556, 4076,
3873, 3020, 1820, 702, 62, 130, 881, 2048, 3214, 3965,
4033, 3393, 2274, 1075, 222, 19, 539, 1596, 2814, 3759,
4094, 3700, 2718, 1497, 471, 8, 270, 1166, 2375, 3468,
4055, 3927, 3130, 1947, 800, 97, 89, 778, 1919, 3106,
3916, 4060, 3488, 2403, 1192, 285, 5, 453, 1468, 2690,
3683, 4093, 3776, 2843, 1627, 561, 24, 207, 1045, 2241,
3367, 4024, 3977, 3244, 2085, 912, 144, 53, 672, 1780,
2984, 3854, 4081, 3585, 2542, 1322, 361, 0, 367, 1333,
2552, 3592, 4083, 3849, 2974, 1770, 665, 51, 148, 920,
2094, 3251, 3980, 4022, 3361, 2233, 1039, 204, 25, 565,
1632, 2847, 3778, 4093, 3681, 2688, 1467, 452, 5, 284,
1190, 2401, 3486, 4060, 3918, 3110, 1925, 784, 92, 95,
792, 1936, 3119, 3922, 4058, 3479, 2391, 1182, 280, 6,
458, 1475, 2696, 3686, 4094, 3774, 2841, 1625, 560, 24,
207, 1044, 2238, 3364, 4022, 3979, 3249, 2092, 920, 148,
51, 664, 1768, 2972, 3847, 4083, 3596, 2558, 1339, 372,
0, 356, 1312, 2530, 3577, 4080, 3861, 2998, 1797, 686,
58, 137, 894, 2062, 3224, 3968, 4030, 3388, 2270, 1072,
221, 19, 537, 1591, 2808, 3754, 4095, 3708, 2731, 1512,
483, 9, 260, 1145, 2350, 3448, 4049, 3939, 3158, 1982,
830, 110, 78, 745, 1875, 3066, 3895, 4069, 3525, 2456,
1243, 315, 2, 415, 1408, 2628, 3641, 4089, 3813, 2909,
1700, 614, 37, 173, 975, 2157, 3300, 3999, 4005, 3317,
2178, 993, 182, 33, 599, 1679, 2890, 3801, 4091, 3656,
2650, 1430, 430, 3, 302, 1220, 2432, 3507, 4065, 3907,
3089, 1902, 767, 86, 100, 806, 1952, 3131, 3927, 4056,
3472, 2383, 1176, 277, 6, 459, 1476, 2695, 3684, 4093,
3777, 2847, 1634, 567, 26, 201, 1031, 2221, 3350, 4017,
3986, 3267, 2116, 941, 158, 45, 641, 1737, 2942, 3830,
4087, 3620, 2596, 1378, 397, 1, 330, 1269, 2483, 3543,
4073, 3885, 3046, 1853, 729, 72, 116, 843, 1998, 3170,
3944, 4046, 3440, 2341, 1137, 256, 10, 486, 1515, 2733,
3708, 4095, 3756, 2813, 1598, 542, 20, 216, 1061, 2255,
3376, 4026, 3975, 3242, 2085, 916, 147, 51, 662, 1764,
2967, 3843, 4084, 3603, 2572, 1355, 383, 0, 343, 1289,
2504, 3557, 4076, 3876, 3029, 1835, 715, 68, 121, 857,
2014, 3183, 3950, 4043, 3430, 2328, 1126, 251, 11, 492,
1524, 2741, 3713, 4095, 3752, 2806, 1592, 539, 20, 218,
1064, 2258, 3378, 4026, 3975, 3241, 2085, 916, 147, 51,
661, 1762, 2964, 3842, 4085, 3607, 2577, 1360, 387, 0,
339, 1281, 2495, 3551, 4074, 3881, 3039, 1846, 725, 71,
117, 845, 1999, 3170, 3944, 4047, 3443, 2346, 1143, 260,
9, 479, 1504, 2721, 3700, 4094, 3765, 2828, 1616, 556,
23, 207, 1041, 2231, 3356, 4019, 3984, 3265, 2115, 942,
159, 44, 637, 1729, 2934, 3825, 4088, 3629, 2612, 1395,
409, 2, 318, 1245, 2456, 3523, 4068, 3899, 3076, 1889,
758, 83, 102, 809, 1953, 3131, 3926, 4057, 3478, 2394,
1187, 285, 5, 447, 1455, 2672, 3668, 4092, 3794, 2878,
1669, 594, 32, 182, 991, 2173, 3311, 4002, 4003, 3313,
2176, 994, 184, 32, 592, 1666, 2875, 3792, 4092, 3671,
2676, 1459, 450, 5, 282, 1182, 2387, 3473, 4055, 3929,
3138, 1962, 816, 105, 80, 750, 1877, 3065, 3893, 4070,
3533, 2471, 1260, 327, 1, 398, 1377, 2592, 3616, 4086,
3836, 2955, 1754, 656, 50, 148, 917, 2085, 3240, 3974,
4028, 3383, 2267, 1074, 224, 18, 528, 1574, 2787, 3740,
4095, 3728, 2768, 1554, 514, 15, 233, 1092, 2287, 3398,
4033, 3967, 3224, 2066, 901, 141, 54, 669, 1771, 2970,
3844, 4084, 3606, 2578, 1363, 389, 1, 334, 1271, 2483,
3540, 4072, 3889, 3057, 1869, 744, 79, 107, 820, 1966,
3140, 3929, 4055, 3473, 2388, 1183, 283, 5, 447, 1453,
2669, 3665, 4092, 3797, 2886, 1679, 602, 35, 177, 978,
2156, 3296, 3996, 4009, 3331, 2200, 1016, 195, 27, 571,
1636, 2845, 3774, 4094, 3693, 2712, 1497, 476, 9, 260,
1141, 2341, 3438, 4045, 3948, 3182, 2016, 861, 124, 65,
704, 1817, 3010, 3865, 4079, 3578, 2538, 1325, 366, 0,
355, 1306, 2518, 3565, 4077, 3874, 3028, 1837, 720, 70,
117, 844, 1994, 3164, 3940, 4050, 3455, 2364, 1162, 272,
7, 460, 1473, 2687, 3677, 4093, 3788, 2871, 1664, 592,
32, 182, 988, 2167, 3304, 3999, 4007, 3325, 2193, 1010,
193, 28, 574, 1638, 2847, 3774, 4094, 3693, 2713, 1499,
478, 9, 258, 1136, 2335, 3433, 4043, 3951, 3190, 2026,
870, 128, 62, 694, 1802, 2997, 3857, 4081, 3590, 2556,
1343, 378, 0, 343, 1285, 2495, 3548, 4073, 3886, 3052,
1864, 742, 78, 107, 819, 1962, 3136, 3927, 4057, 3480,
2400, 1195, 291, 4, 436, 1434, 2648, 3651, 4090, 3811,
2912, 1709, 625, 41, 163, 947, 2118, 3265, 3983, 4021,
3365, 2246, 1057, 217, 19, 535, 1582, 2793, 3742, 4095,
3729, 2771, 1560, 519, 16, 227, 1077, 2269, 3382, 4027,
3976, 3247, 2097, 929, 155, 45, 639, 1728, 2929, 3820,
4089, 3640, 2632, 1418, 426, 3, 299, 1209, 2413, 3489,
4059, 3922, 3127, 1952, 811, 104, 80, 747, 1871, 3056,
3888, 4073, 3547, 2494, 1285, 343, 0, 376, 1339, 2551,
3586, 4080, 3861, 3005, 1813, 703, 65, 123, 857, 2009,
3174, 3944, 4048, 3450, 2359, 1159, 271, 7, 459, 1468,
2681, 3672, 4092, 3795, 2884, 1680, 604, 36, 173, 968,
2142, 3283, 3990, 4015, 3350, 2228, 1042, 209, 22, 545,
1595, 2805, 3748, 4095, 3723, 2764, 1553, 516, 16, 229,
1080, 2271, 3383, 4027, 3976, 3249, 2100, 933, 157, 44,
634, 1719, 2920, 3815, 4090, 3648, 2645, 1433, 436, 4,
289, 1191, 2393, 3474, 4055, 3932, 3148, 1978, 833, 114,
72, 724, 1839, 3028, 3873, 4078, 3571, 2530, 1320, 365,
0, 353, 1300, 2509, 3556, 4075, 3882, 3047, 1861, 741,
78, 106, 815, 1955, 3128, 3922, 4059, 3491, 2417, 1214,
302, 3, 420, 1407, 2619, 3631, 4087, 3829, 2947, 1749,
656, 51, 145, 905, 2066, 3221, 3964, 4036, 3411, 2308,
1115, 248, 11, 488, 1511, 2722, 3697, 4094, 3774, 2849,
1644, 580, 30, 187, 995, 2173, 3306, 3999, 4008, 3331,
2204, 1023, 200, 25, 557, 1612, 2819, 3756, 4095, 3716,
2754, 1544, 510, 15, 231, 1084, 2273, 3384, 4027, 3977,
3251, 2104, 937, 159, 42, 627, 1709, 2910, 3808, 4091,
3658, 2661, 1450, 448, 6, 278, 1170, 2369, 3455, 4049,
3942, 3173, 2009, 859, 125, 63, 696, 1802, 2994, 3854,
4082, 3599, 2572, 1362, 392, 1, 326, 1253, 2458, 3520,
4066, 3906, 3096, 1919, 787, 96, 87, 765, 1891, 3071,
3894, 4071, 3540, 2487, 1280, 342, 0, 374, 1334, 2543,
3578, 4079, 3869, 3022, 1834, 721, 72, 113, 831, 1974,
3143, 3929, 4056, 3482, 2406, 1205, 298, 3, 423, 1411,
2621, 3631, 4087, 3831, 2951, 1755, 661, 53, 141, 896,
2053, 3209, 3958, 4040, 3425, 2329, 1135, 259, 9, 471,
1484, 2694, 3678, 4092, 3792, 2882, 1681, 607, 37, 169,
958, 2127, 3268, 3983, 4022, 3371, 2257, 1070, 225, 16,
517, 1553, 2761, 3720, 4095, 3754, 2818, 1612, 559, 25,
198, 1017, 2196, 3323, 4004, 4003, 3318, 2190, 1012, 195,
26, 562, 1618, 2823, 3757, 4095, 3717, 2757, 1549, 515,
16, 226, 1073, 2259, 3372, 4022, 3983, 3268, 2127, 958,
170, 37, 606, 1678, 2879, 3790, 4093, 3682, 2700, 1491,
476, 9, 254, 1125, 2318, 3416, 4037, 3963, 3221, 2069,
910, 148, 48, 647, 1734, 2930, 3819, 4089, 3647, 2647,
1438, 441, 5, 281, 1174, 2371, 3456, 4049, 3944, 3177,
2017, 867, 129, 60, 685, 1785, 2976, 3844, 4085, 3615,
2599, 1390, 411, 2, 307, 1219, 2419, 3491, 4058, 3925,
3137, 1969, 828, 113, 72, 720, 1831, 3017, 3866, 4080,
3586, 2555, 1348, 384, 1, 331, 1259, 2463, 3521, 4066,
3907, 3100, 1926, 794, 99, 83, 752, 1872, 3053, 3884,
4075, 3559, 2516, 1310, 361, 0, 352, 1295, 2501, 3548,
4072, 3891, 3068, 1889, 765, 88, 94, 781, 1909, 3085,
3900, 4069, 3534, 2481, 1277, 342, 0, 372, 1327, 2534,
3571, 4077, 3876, 3039, 1856, 740, 79, 104, 806, 1940,
3112, 3913, 4064, 3513, 2452, 1250, 325, 1, 389, 1355,
2562, 3590, 4081, 3864, 3014, 1828, 719, 72, 113, 827,
1967, 3134, 3923, 4059, 3495, 2427, 1227, 312, 2, 403,
1378, 2585, 3605, 4083, 3853, 2994, 1806, 702, 66, 120,
845, 1988, 3152, 3932, 4055, 3480, 2407, 1208, 301, 2,
415, 1396, 2603, 3617, 4085, 3844, 2978, 1788, 689, 62,
126, 859, 2005, 3166, 3938, 4052, 3469, 2392, 1194, 294,
3, 424, 1409, 2617, 3626, 4086, 3838, 2966, 1775, 679,
59, 130, 868, 2016, 3175, 3942, 4050, 3462, 2381, 1185,
289, 4, 430, 1418, 2625, 3632, 4087, 3834, 2959, 1768,
674, 57, 133, 874, 2023, 3181, 3945, 4049, 3458, 2376,
1180, 286, 4, 432, 1422, 2629, 3634, 4087, 3832, 2956,
1765, 672, 57, 133, 875, 2025, 3182, 3945, 4049, 3457,
2376, 1180, 286, 4, 432, 1421, 2628, 3633, 4087, 3833,
2958, 1767, 673, 57, 132, 873, 2021, 3179, 3943, 4050,
3460, 2380, 1185, 289, 4, 429, 1416, 2622, 3629, 4087,
3836, 2964, 1774, 679, 59, 130, 866, 2013, 3172, 3940,
4051, 3467, 2390, 1193, 294, 3, 422, 1406, 2612, 3622,
4086, 3842, 2975, 1786, 688, 62, 125, 855, 1999, 3160,
3935, 4054, 3477, 2404, 1207, 302, 2, 413, 1391, 2596,
3612, 4084, 3850, 2990, 1803, 701, 66, 119, 841, 1981,
3145, 3927, 4058, 3491, 2423, 1225, 312, 2, 401, 1371,
2576, 3598, 4082, 3860, 3010, 1825, 718, 72, 111, 822,
1958, 3125, 3918, 4062, 3508, 2447, 1248, 326, 1, 386,
1347, 2551, 3581, 4079, 3872, 3033, 1852, 739, 80, 102,
800, 1929, 3100, 3906, 4067, 3528, 2476, 1275, 342, 0,
368, 1318, 2521, 3560, 4074, 3886, 3061, 1884, 764, 89,
92, 774, 1896, 3071, 3891, 4073, 3552, 2510, 1308, 362,
0, 348, 1285, 2486, 3535, 4069, 3902, 3093, 1921, 794,
100, 82, 744, 1858, 3038, 3874, 4078, 3578, 2548, 1345,
385, 1, 326, 1247, 2446, 3506, 4062, 3919, 3129, 1964,
827, 114, 70, 711, 1815, 2999, 3854, 4083, 3607, 2591,
1387, 411, 2, 301, 1205, 2401, 3474, 4053, 3938, 3168,
2011, 866, 130, 58, 675, 1767, 2956, 3831, 4088, 3639,
2639, 1434, 442, 5, 276, 1159, 2350, 3437, 4042, 3957,
3211, 2063, 909, 149, 46, 636, 1714, 2908, 3804, 4092,
3672, 2691, 1487, 477, 10, 249, 1109, 2295, 3395, 4028,
3977, 3258, 2120, 957, 171, 35, 595, 1657, 2854, 3773,
4094, 3708, 2747, 1544, 516, 17, 220, 1056, 2234, 3348,
4012, 3997, 3307, 2182, 1010, 197, 24, 551, 1595, 2796,
3737, 4095, 3745, 2807, 1607, 560, 26, 192, 999, 2169,
3296, 3992, 4016, 3359, 2249, 1069, 227, 15, 505, 1529,
2731, 3698, 4094, 3782, 2871, 1676, 609, 39, 163, 939,
2098, 3239, 3969, 4034, 3413, 2320, 1133, 262, 7, 458,
1458, 2662, 3653, 4090, 3821, 2939, 1749, 663, 55, 135,
876, 2022, 3176, 3941, 4052, 3470, 2397, 1203, 301, 2,
410, 1384, 2586, 3603, 4082, 3859, 3010, 1828, 723, 75,
108, 811, 1941, 3108, 3909, 4067, 3527, 2477, 1279, 345,
0, 362, 1305, 2505, 3547, 4071, 3897, 3084, 1913, 789,
99, 82, 744, 1855, 3033, 3871, 4079, 3586, 2562, 1360,
396, 1, 313, 1224, 2419, 3485, 4056, 3933, 3160, 2002,
861, 129, 59, 675, 1765, 2953, 3828, 4089, 3645, 2650,
1448, 452, 7, 266, 1139, 2326, 3417, 4035, 3968, 3238,
2097, 939, 164, 38, 606, 1670, 2865, 3778, 4094, 3704,
2742, 1541, 515, 17, 219, 1052, 2228, 3342, 4009, 4000,
3317, 2197, 1025, 205, 21, 536, 1572, 2772, 3722, 4095,
3762, 2838, 1641, 585, 33, 175, 963, 2125, 3260, 3977,
4029, 3397, 2301, 1117, 254, 9, 467, 1470, 2672, 3658,
4090, 3818, 2935, 1747, 662, 55, 134, 873, 2017, 3171,
3938, 4054, 3478, 2409, 1216, 309, 2, 399, 1364, 2565,
3587, 4079, 3871, 3035, 1858, 747, 84, 97, 782, 1903,
3074, 3891, 4073, 3557, 2521, 1322, 373, 0, 333, 1256,
2452, 3508, 4062, 3921, 3136, 1975, 840, 120, 64, 691,
1786, 2970, 3837, 4087, 3635, 2637, 1435, 445, 6, 270,
1146, 2333, 3421, 4036, 3967, 3237, 2097, 941, 165, 37,
602, 1664, 2858, 3773, 4094, 3711, 2755, 1556, 526, 19,
211, 1035, 2207, 3325, 4002, 4007, 3338, 2224, 1050, 219,
17, 514, 1538, 2738, 3700, 4094, 3783, 2875, 1683, 616,
41, 157, 923, 2076, 3219, 3959, 4041, 3438, 2356, 1168,
282, 4, 429, 1410, 2611, 3618, 4084, 3851, 2997, 1816,
715, 73, 109, 812, 1940, 3105, 3906, 4068, 3535, 2491,
1294, 356, 0, 348, 1280, 2476, 3525, 4066, 3912, 3118,
1955, 825, 114, 69, 703, 1800, 2982, 3842, 4086, 3629,
2628, 1428, 441, 6, 272, 1149, 2335, 3422, 4036, 3967,
3238, 2100, 944, 167, 36, 597, 1656, 2849, 3767, 4095,
3718, 2768, 1570, 536, 22, 203, 1018, 2187, 3308, 3996,
4014, 3357, 2250, 1073, 231, 13, 494, 1509, 2708, 3681,
4092, 3801, 2908, 1719, 643, 49, 142, 889, 2034, 3183,
3943, 4051, 3472, 2403, 1212, 308, 2, 397, 1360, 2558,
3582, 4078, 3877, 3048, 1876, 762, 90, 90, 762, 1875,
3048, 3877, 4078, 3582, 2559, 1361, 398, 2, 307, 1210,
2401, 3470, 4051, 3944, 3186, 2038, 893, 144, 48, 639,
1713, 2902, 3797, 4093, 3686, 2717, 1518, 501, 15, 226,
1062, 2236, 3346, 4010, 4001, 3321, 2205, 1035, 212, 19,
522, 1548, 2746, 3704, 4094, 3782, 2875, 1684, 618, 42,
154, 916, 2065, 3209, 3954, 4045, 3452, 2376, 1188, 295,
3, 412, 1382, 2580, 3596, 4080, 3868, 3032, 1858, 749,
85, 94, 773, 1889, 3059, 3882, 4077, 3575, 2550, 1353,
393, 1, 311, 1215, 2405, 3473, 4051, 3943, 3185, 2037,
893, 144, 48, 637, 1709, 2898, 3795, 4093, 3690, 2725,
1527, 508, 16, 221, 1051, 2223, 3335, 4005, 4005, 3334,
2222, 1050, 220, 16, 508, 1527, 2725, 3690, 4093, 3795,
2898, 1710, 638, 48, 143, 891, 2035, 3183, 3942, 4052,
3476, 2411, 1221, 314, 1, 389, 1345, 2541, 3569, 4075,
3887, 3069, 1902, 784, 99, 81, 737, 1841, 3016, 3860,
4083, 3609, 2601, 1403, 426, 4, 282, 1164, 2349, 3430,
4038, 3965, 3235, 2099, 945, 168, 35, 590, 1645, 2837,
3759, 4095, 3730, 2790, 1596, 556, 26, 189, 987, 2148,
3275, 3982, 4026, 3394, 2301, 1121, 258, 8, 455, 1447,
2645, 3638, 4087, 3838, 2977, 1798, 704, 70, 112, 816,
1942, 3104, 3904, 4069, 3543, 2505, 1311, 368, 0, 332,
1251, 2442, 3498, 4058, 3931, 3159, 2007, 869, 134, 54,
655, 1732, 2917, 3805, 4092, 3680, 2710, 1513, 499, 15,
225, 1059, 2230, 3339, 4007, 4004, 3333, 2222, 1052, 222,
16, 504, 1520, 2716, 3684, 4092, 3802, 2911, 1726, 650,
52, 136, 873, 2011, 3162, 3932, 4058, 3497, 2440, 1250,
332, 0, 368, 1310, 2503, 3541, 4069, 3906, 3108, 1948,
821, 114, 68, 697, 1788, 2968, 3833, 4088, 3646, 2659,
1462, 465, 9, 249, 1103, 2280, 3377, 4020, 3990, 3296,
2175, 1011, 201, 22, 534, 1563, 2758, 3710, 4094, 3780,
2874, 1686, 621, 44, 150, 905, 2049, 3193, 3946, 4051,
3471, 2406, 1219, 314, 1, 387, 1339, 2534, 3562, 4073,
3893, 3083, 1920, 800, 106, 74, 717, 1813, 2989, 3844,
4086, 3632, 2637, 1441, 452, 7, 259, 1120, 2298, 3391,
4025, 3984, 3283, 2160, 999, 195, 24, 543, 1575, 2769,
3716, 4094, 3774, 2865, 1677, 616, 42, 153, 910, 2055,
3197, 3948, 4050, 3469, 2403, 1217, 313, 1, 387, 1339,
2533, 3561, 4073, 3894, 3086, 1923, 803, 107, 73, 712,
1806, 2983, 3841, 4087, 3638, 2647, 1451, 459, 8, 253,
1109, 2285, 3380, 4021, 3989, 3295, 2176, 1013, 203, 21,
530, 1556, 2750, 3704, 4094, 3786, 2886, 1700, 632, 47,
144, 889, 2029, 3175, 3937, 4055, 3489, 2432, 1244, 329,
0, 369, 1309, 2501, 3539, 4068, 3909, 3116, 1959, 832,
119, 63, 683, 1768, 2948, 3821, 4090, 3663, 2686, 1492,
486, 13, 232, 1070, 2240, 3345, 4008, 4004, 3333, 2224,
1056, 225, 15, 497, 1507, 2701, 3673, 4091, 3814, 2935,
1754, 673, 60, 124, 842, 1971, 3126, 3914, 4066, 3531,
2491, 1300, 364, 0, 333, 1250, 2438, 3493, 4056, 3936,
3172, 2026, 887, 143, 47, 632, 1699, 2884, 3784, 4094,
3707, 2756, 1563, 536, 22, 198, 1003, 2164, 3284, 3984,
4025, 3393, 2304, 1127, 263, 6, 444, 1427, 2621, 3620,
4084, 3855, 3011, 1840, 739, 83, 95, 772, 1882, 3048,
3875, 4079, 3593, 2581, 1388, 419, 4, 283, 1163, 2344,
3423, 4035, 3971, 3253, 2125, 971, 182, 28, 561, 1598,
2789, 3727, 4095, 3766, 2853, 1667, 609, 41, 155, 912,
2055, 3196, 3946, 4051, 3475, 2414, 1228, 321, 1, 376,
1319, 2510, 3544, 4069, 3907, 3114, 1958, 832, 120, 62,
679, 1761, 2940, 3816, 4091, 3671, 2700, 1507, 498, 15,
222, 1050, 2216, 3325, 4000, 4012, 3356, 2256, 1085, 241,
11, 472, 1469, 2662, 3646, 4088, 3836, 2977, 1803, 711,
73, 106, 798, 1914, 3076, 3888, 4076, 3574, 2554, 1362,
403, 2, 296, 1184, 2365, 3439, 4040, 3965, 3238, 2108,
957, 176, 31, 570, 1611, 2800, 3733, 4095, 3761, 2846,
1660, 605, 40, 156, 914, 2057, 3196, 3946, 4051, 3477,
2417, 1232, 324, 0, 372, 1312, 2501, 3537, 4067, 3912,
3124, 1971, 844, 125, 58, 667, 1743, 2923, 3806, 4092,
3685, 2722, 1531, 514, 18, 210, 1026, 2188, 3302, 3991,
4021, 3381, 2289, 1116, 258, 7, 448, 1432, 2624, 3621,
4084, 3857, 3016, 1847, 745, 86, 92, 760, 1866, 3032,
3865, 4082, 3609, 2606, 1414, 437, 6, 267, 1131, 2306,
3394, 4025, 3986, 3290, 2172, 1013, 204, 20, 523, 1543,
2734, 3692, 4093, 3800, 2914, 1734, 660, 57, 128, 849,
1977, 3129, 3914, 4067, 3535, 2500, 1311, 372, 0, 323,
1229, 2413, 3473, 4050, 3949, 3203, 2067, 923, 161, 37,
595, 1645, 2831, 3751, 4095, 3745, 2820, 1634, 587, 35,
165, 932, 2077, 3212, 3952, 4048, 3466, 2404, 1221, 318,
1, 377, 1318, 2507, 3540, 4068, 3911, 3124, 1972, 846,
126, 57, 662, 1736, 2915, 3801, 4093, 3693, 2736, 1546,
526, 21, 202, 1008, 2165, 3283, 3983, 4027, 3402, 2318,
1143, 273, 5, 427, 1398, 2589, 3596, 4080, 3875, 3053,
1890, 780, 100, 78, 723, 1816, 2987, 3841, 4087, 3644,
2661, 1470, 474, 11, 237, 1075, 2242, 3343, 4006, 4007,
3344, 2243, 1076, 237, 11, 473, 1468, 2659, 3643, 4087,
3842, 2990, 1819, 725, 79, 98, 777, 1885, 3048, 3873,
4080, 3601, 2596, 1406, 432, 5, 269, 1133, 2307, 3393,
4024, 3987, 3294, 2180, 1021, 209, 18, 514, 1527, 2717,
3680, 4092, 3812, 2936, 1760, 681, 64, 117, 823, 1942,
3097, 3898, 4073, 3563, 2542, 1353, 399, 2, 296, 1182,
2360, 3433, 4037, 3970, 3252, 2128, 977, 187, 26, 548,
1576, 2764, 3710, 4094, 3787, 2892, 1713, 646, 53, 133,
860, 1988, 3136, 3917, 4066, 3533, 2499, 1312, 374, 1,
319, 1221, 2402, 3463, 4047, 3955, 3219, 2088, 943, 171,
32, 574, 1614, 2799, 3731, 4095, 3767, 2859, 1677, 620,
45, 146, 889, 2023, 3165, 3930, 4060, 3510, 2467, 1282,
355, 0, 336, 1249, 2432, 3485, 4053, 3944, 3195, 2059,
919, 160, 37, 593, 1640, 2824, 3746, 4095, 3753, 2836,
1652, 602, 40, 155, 908, 2046, 3184, 3939, 4056, 3495,
2446, 1263, 344, 0, 347, 1267, 2450, 3498, 4056, 3937,
3181, 2042, 905, 154, 41, 604, 1655, 2838, 3754, 4095,
3745, 2823, 1640, 593, 38, 159, 918, 2057, 3193, 3943,
4054, 3488, 2437, 1254, 339, 0, 351, 1274, 2458, 3503,
4058, 3935, 3176, 2037, 901, 152, 41, 607, 1659, 2841,
3756, 4095, 3744, 2822, 1638, 593, 37, 160, 918, 2057,
3193, 3943, 4054, 3489, 2439, 1257, 341, 0, 349, 1270,
2453, 3500, 4057, 3937, 3181, 2043, 906, 154, 40, 602,
1651, 2833, 3751, 4095, 3749, 2830, 1648, 600, 40, 155,
908, 2045, 3183, 3938, 4056, 3499, 2452, 1269, 349, 0,
341, 1256, 2438, 3488, 4054, 3943, 3195, 2060, 921, 161,
36, 589, 1632, 2815, 3740, 4095, 3761, 2850, 1669, 616,
44, 147, 889, 2022, 3163, 3928, 4061, 3516, 2477, 1293,
363, 0, 326, 1231, 2411, 3468, 4048, 3954, 3219, 2089,
946, 173, 31, 567, 1601, 2786, 3722, 4094, 3778, 2880,
1702, 640, 51, 134, 861, 1987, 3133, 3914, 4067, 3541,
2513, 1328, 385, 1, 306, 1196, 2372, 3440, 4039, 3968,
3252, 2130, 981, 190, 24, 538, 1560, 2745, 3696, 4093,
3802, 2921, 1746, 673, 62, 118, 823, 1940, 3093, 3894,
4075, 3574, 2560, 1374, 414, 4, 280, 1150, 2322, 3402,
4026, 3986, 3293, 2183, 1026, 213, 17, 502, 1507, 2694,
3663, 4089, 3830, 2971, 1802, 716, 77, 100, 778, 1882,
3042, 3868, 4082, 3613, 2618, 1431, 452, 8, 250, 1095,
2261, 3354, 4009, 4005, 3343, 2246, 1083, 243, 9, 460,
1444, 2631, 3621, 4084, 3862, 3031, 1870, 768, 96, 80,
724, 1812, 2980, 3834, 4089, 3658, 2686, 1500, 498, 16,
216, 1031, 2187, 3296, 3987, 4026, 3401, 2322, 1150, 280,
3, 413, 1371, 2556, 3570, 4074, 3897, 3100, 1949, 832,
122, 59, 663, 1732, 2906, 3793, 4094, 3708, 2765, 1581,
554, 28, 180, 958, 2102, 3227, 3957, 4046, 3465, 2408,
1230, 326, 0, 361, 1287, 2469, 3509, 4059, 3934, 3176,
2040, 906, 155, 39, 596, 1640, 2821, 3742, 4095, 3761,
2853, 1674, 621, 46, 142, 877, 2005, 3147, 3920, 4065,
3534, 2505, 1322, 382, 1, 306, 1195, 2369, 3436, 4037,
3971, 3260, 2143, 994, 197, 21, 525, 1538, 2723, 3681,
4091, 3817, 2950, 1780, 700, 71, 105, 790, 1896, 3053,
3873, 4081, 3608, 2611, 1426, 449, 8, 250, 1094, 2258,
3351, 4008, 4007, 3350, 2257, 1093, 250, 8, 450, 1427,
2612, 3608, 4081, 3873, 3054, 1898, 791, 106, 71, 698,
1777, 2946, 3815, 4092, 3684, 2728, 1544, 529, 22, 194,
986, 2134, 3253, 3968, 4040, 3445, 2382, 1207, 314, 1,
373, 1306, 2487, 3521, 4062, 3928, 3165, 2027, 897, 151,
41, 602, 1647, 2826, 3744, 4095, 3760, 2852, 1675, 622,
47, 141, 873, 1998, 3140, 3916, 4067, 3542, 2517, 1335,
391, 2, 297, 1178, 2350, 3421, 4032, 3979, 3280, 2169,
1017, 210, 17, 504, 1507, 2691, 3660, 4089, 3835, 2983,
1819, 730, 83, 92, 756, 1851, 3012, 3851, 4086, 3640,
2661, 1477, 483, 13, 224, 1044, 2200, 3304, 3989, 4024,
3399, 2321, 1152, 283, 3, 407, 1360, 2542, 3559, 4071,
3906, 3120, 1975, 855, 133, 51, 637, 1694, 2869, 3770,
4095, 3735, 2812, 1633, 592, 38, 156, 905, 2037, 3172,
3931, 4061, 3518, 2483, 1303, 372, 1, 313, 1205, 2379,
3441, 4038, 3970, 3260, 2144, 996, 200, 20, 518, 1527,
2710, 3671, 4090, 3827, 2969, 1803, 719, 79, 96, 765,
1863, 3022, 3855, 4085, 3635, 2654, 1471, 480, 13, 225,
1046, 2201, 3305, 3989, 4025, 3400, 2324, 1155, 285, 3,
404, 1353, 2535, 3554, 4069, 3910, 3129, 1987, 865, 138,
48, 626, 1678, 2854, 3760, 4095, 3746, 2831, 1653, 608,
43, 147, 885, 2012, 3150, 3920, 4066, 3537, 2512, 1332,
390, 2, 296, 1175, 2344, 3415, 4030, 3983, 3290, 2183,
1030, 217, 15, 491, 1486, 2668, 3644, 4087, 3849, 3011,
1851, 757, 93, 81, 725, 1810, 2974, 3829, 4090, 3669,
2708, 1526, 518, 20, 199, 994, 2140, 3255, 3968, 4040,
3448, 2389, 1216, 320, 0, 363, 1288, 2466, 3504, 4057,
3940, 3192, 2062, 928, 167, 33, 570, 1600, 2779, 3714,
4094, 3791, 2907, 1737, 670, 62, 116, 814, 1923, 3073,
3882, 4079, 3599, 2602, 1421, 448, 8, 248, 1087, 2247,
3340, 4002, 4013, 3369, 2285, 1121, 266, 5, 424, 1384,
2565, 3573, 4074, 3899, 3107, 1963, 846, 130, 53, 640,
1695, 2869, 3768, 4095, 3739, 2820, 1644, 602, 41, 149,
889, 2014, 3151, 3920, 4066, 3539, 2516, 1337, 394, 2,
291, 1165, 2333, 3405, 4026, 3988, 3304, 2201, 1048, 227,
12, 475, 1462, 2643, 3626, 4084, 3864, 3039, 1884, 784,
104, 71, 696, 1771, 2937, 3808, 4093, 3696, 2752, 1572,
551, 28, 177, 948, 2085, 3210, 3947, 4053, 3491, 2449,
1273, 355, 0, 326, 1225, 2398, 3453, 4042, 3966, 3253,
2138, 993, 199, 20, 515, 1520, 2700, 3663, 4089, 3836,
2988, 1827, 739, 87, 87, 739, 1826, 2987, 3835, 4089,
3664, 2702, 1522, 516, 20, 198, 991, 2135, 3250, 3965,
4043, 3457, 2402, 1230, 329, 0, 351, 1267, 2441, 3485,
4051, 3951, 3218, 2096, 958, 182, 26, 542, 1558, 2737,
3687, 4092, 3817, 2954, 1790, 712, 77, 97, 766, 1860,
3017, 3851, 4086, 3644, 2671, 1491, 496, 16, 211, 1017,
2164, 3273, 3975, 4036, 3437, 2376, 1206, 316, 0, 365,
1289, 2465, 3502, 4056, 3943, 3200, 2075, 940, 174, 29,
555, 1577, 2755, 3698, 4093, 3808, 2940, 1774, 700, 73,
102, 777, 1873, 3028, 3857, 4085, 3637, 2661, 1481, 490,
15, 215, 1024, 2172, 3279, 3977, 4035, 3432, 2370, 1201,
313, 1, 367, 1292, 2467, 3503, 4056, 3942, 3200, 2075,
941, 174, 29, 554, 1575, 2752, 3696, 4092, 3810, 2944,
1779, 704, 75, 100, 771, 1866, 3021, 3853, 4086, 3643,
2670, 1491, 497, 17, 210, 1013, 2159, 3268, 3973, 4038,
3443, 2386, 1216, 322, 0, 358, 1276, 2449, 3490, 4052,
3950, 3216, 2095, 958, 183, 26, 539, 1552, 2730, 3681,
4091, 3823, 2966, 1805, 724, 82, 91, 749, 1838, 2995,
3839, 4089, 3662, 2700, 1521, 518, 21, 196, 985, 2126,
3241, 3960, 4046, 3469, 2421, 1249, 342, 0, 336, 1240,
2411, 3462, 4044, 3964, 3250, 2137, 994, 201, 19, 510,
1510, 2688, 3654, 4088, 3846, 3008, 1852, 761, 96, 78,
712, 1789, 2951, 3814, 4092, 3693, 2749, 1572, 553, 29,
174, 939, 2071, 3196, 3940, 4057, 3509, 2477, 1303, 375,
1, 305, 1186, 2352, 3417, 4029, 3985, 3299, 2199, 1049,
229, 11, 468, 1447, 2625, 3612, 4081, 3877, 3067, 1920,
815, 118, 60, 660, 1719, 2887, 3777, 4095, 3735, 2816,
1644, 605, 43, 145, 876, 1995, 3132, 3909, 4071, 3563,
2553, 1377, 422, 5, 264, 1113, 2271, 3356, 4007, 4010,
3364, 2282, 1123, 269, 4, 415, 1366, 2542, 3555, 4069,
3914, 3142, 2008, 887, 150, 40, 594, 1629, 2802, 3726,
4094, 3786, 2902, 1736, 673, 64, 112, 799, 1899, 3048,
3867, 4083, 3627, 2649, 1471, 484, 14, 217, 1024, 2170,
3275, 3975, 4037, 3442, 2385, 1218, 324, 0, 353, 1266,
2437, 3480, 4049, 3956, 3233, 2118, 980, 194, 21, 518,
1520, 2697, 3659, 4088, 3843, 3005, 1850, 761, 97, 77,
708, 1782, 2944, 3809, 4093, 3700, 2762, 1588, 565, 32,
165, 920, 2047, 3174, 3929, 4063, 3530, 2508, 1334, 395,
2, 285, 1150, 2311, 3385, 4017, 3999, 3337, 2248, 1094,
254, 6, 433, 1393, 2569, 3572, 4073, 3904, 3123, 1986,
870, 142, 44, 607, 1646, 2817, 3734, 4095, 3779, 2892,
1726, 667, 63, 114, 803, 1903, 3051, 3868, 4083, 3627,
2650, 1473, 487, 15, 214, 1018, 2162, 3268, 3971, 4040,
3450, 2398, 1231, 332, 0, 343, 1249, 2418, 3465, 4044,
3965, 3253, 2143, 1002, 206, 17, 498, 1491, 2666, 3638,
4085, 3860, 3037, 1888, 791, 109, 66, 677, 1740, 2904,
3786, 4094, 3728, 2807, 1636, 601, 42, 145, 876, 1992,
3127, 3906, 4072, 3571, 2567, 1392, 433, 7, 253, 1091,
2244, 3333, 3998, 4019, 3391, 2320, 1159, 291, 2, 387,
1319, 2492, 3518, 4059, 3937, 3193, 2071, 941, 176, 28,
545, 1558, 2732, 3680, 4091, 3828, 2978, 1822, 740, 89,
83, 725, 1802, 2960, 3818, 4092, 3693, 2751, 1578, 560,
31, 167, 922, 2048, 3174, 3928, 4063, 3534, 2516, 1343,
402, 3, 278, 1135, 2293, 3370, 4012, 4006, 3356, 2274,
1118, 268, 4, 413, 1360, 2533, 3547, 4066, 3921, 3159,
2031, 908, 161, 34, 571, 1593, 2765, 3701, 4093, 3811,
2949, 1790, 716, 80, 92, 748, 1831, 2986, 3832, 4090,
3676, 2726, 1553, 542, 27, 177, 942, 2071, 3192, 3937,
4060, 3520, 2496, 1325, 391, 2, 287, 1150, 2309, 3382,
4016, 4002, 3345, 2261, 1107, 262, 5, 419, 1369, 2543,
3553, 4068, 3918, 3153, 2025, 904, 159, 35, 573, 1596,
2768, 3702, 4093, 3810, 2948, 1790, 716, 81, 92, 746,
1828, 2982, 3829, 4090, 3680, 2732, 1560, 548, 29, 173,
934, 2061, 3183, 3932, 4062, 3529, 2509, 1337, 399, 3,
279, 1136, 2293, 3369, 4011, 4007, 3360, 2281, 1125, 273,
4, 406, 1348, 2520, 3536, 4064, 3928, 3175, 2051, 926,
170, 30, 553, 1568, 2739, 3684, 4091, 3826, 2978, 1823,
742, 90, 81, 718, 1792, 2949, 3811, 4093, 3703, 2769,
1599, 576, 36, 157, 899, 2018, 3147, 3915, 4069, 3560,
2554, 1382, 428, 6, 255, 1092, 2243, 3330, 3996, 4022,
3400, 2333, 1174, 301, 1, 374, 1296, 2464, 3496, 4053,
3951, 3224, 2111, 977, 195, 20, 512, 1507, 2680, 3645,
4086, 3858, 3036, 1889, 795, 111, 63, 667, 1723, 2886,
3774, 4095, 3744, 2837, 1670, 628, 51, 129, 837, 1942,
3081, 3882, 4080, 3612, 2630, 1457, 478, 14, 217, 1020,
2160, 3264, 3968, 4042, 3462, 2418, 1252, 347, 0, 324,
1214, 2376, 3431, 4032, 3983, 3298, 2203, 1058, 237, 9,
450, 1415, 2587, 3582, 4074, 3902, 3121, 1988, 875, 146,
41, 593, 1622, 2791, 3716, 4094, 3801, 2933, 1775, 707,
78, 94, 751, 1833, 2985, 3830, 4091, 3681, 2737, 1566,
553, 30, 168, 922, 2045, 3168, 3924, 4066, 3546, 2534,
1364, 417, 5, 262, 1104, 2255, 3338, 3998, 4020, 3395,
2328, 1170, 299, 1, 373, 1294, 2462, 3493, 4052, 3953,
3231, 2121, 987, 200, 19, 502, 1491, 2663, 3633, 4084,
3868, 3056, 1913, 815, 120, 57, 645, 1692, 2856, 3755,
4095, 3764, 2872, 1709, 657, 61, 115, 801, 1896, 3040,
3860, 4086, 3644, 2681, 1509, 514, 21, 191, 969, 2100,
3213, 3945, 4056, 3510, 2484, 1316, 388, 2, 286, 1146,
2302, 3374, 4012, 4007, 3361, 2285, 1132, 278, 3, 397,
1331, 2500, 3520, 4059, 3940, 3201, 2085, 957, 186, 23,
523, 1521, 2692, 3652, 4087, 3855, 3031, 1887, 794, 112,
63, 663, 1715, 2877, 3767, 4095, 3753, 2854, 1690, 644,
57, 120, 814, 1911, 3053, 3866, 4084, 3637, 2670, 1499,
508, 20, 195, 976, 2107, 3219, 3947, 4055, 3507, 2481,
1314, 386, 2, 286, 1146, 2301, 3372, 4011, 4008, 3364,
2290, 1137, 281, 3, 392, 1323, 2491, 3513, 4057, 3944,
3211, 2098, 969, 192, 21, 513, 1506, 2676, 3640, 4085,
3864, 3049, 1907, 811, 119, 57, 645, 1691, 2854, 3753,
4095, 3768, 2879, 1719, 666, 64, 110, 789, 1879, 3024,
3850, 4088, 3659, 2704, 1535, 533, 26, 179, 942, 2066,
3184, 3931, 4063, 3537, 2524, 1356, 414, 5, 263, 1103,
2252, 3334, 3996, 4022, 3403, 2342, 1185, 309, 1, 361,
1271, 2435, 3473, 4045, 3965, 3260, 2159, 1021, 219, 13,
471, 1444, 2614, 3598, 4077, 3894, 3108, 1976, 867, 144,
42, 594, 1620, 2786, 3711, 4093, 3808, 2948, 1795, 724,
85, 86, 727, 1799, 2952, 3810, 4093, 3709, 2783, 1617,
592, 41, 145, 869, 1978, 3109, 3894, 4077, 3598, 2613,
1444, 472, 13, 218, 1019, 2156, 3257, 3964, 4046, 3476,
2441, 1277, 365, 1, 304, 1176, 2332, 3395, 4019, 4000,
3345, 2267, 1117, 271, 4, 403, 1338, 2504, 3522, 4059,
3940, 3205, 2092, 965, 190, 21, 512, 1504, 2672, 3637,
4084, 3867, 3058, 1919, 822, 124, 53, 632, 1672, 2834,
3740, 4095, 3782, 2904, 1748, 689, 72, 99, 761, 1842,
2990, 3831, 4091, 3685, 2747, 1580, 566, 34, 158, 898,
2012, 3137, 3908, 4073, 3578, 2585, 1417, 454, 10, 230,
1041, 2180, 3276, 3972, 4041, 3461, 2421, 1259, 354, 0,
313, 1190, 2347, 3406, 4022, 3996, 3336, 2256, 1108, 266,
4, 407, 1344, 2510, 3525, 4060, 3939, 3203, 2091, 965,
191, 21, 511, 1501, 2668, 3634, 4084, 3870, 3064, 1927,
829, 128, 51, 624, 1660, 2822, 3732, 4094, 3791, 2920,
1765, 703, 77, 93, 744, 1820, 2969, 3819, 4092, 3701,
2771, 1607, 585, 40, 147, 872, 1980, 3110, 3894, 4077,
3601, 2620, 1452, 478, 15, 212, 1006, 2139, 3242, 3957,
4051, 3493, 2466, 1302, 381, 2, 288, 1145, 2297, 3367,
4008, 4012, 3377, 2311, 1158, 295, 1, 373, 1289, 2451,
3482, 4047, 3962, 3255, 2155, 1021, 220, 13, 467, 1435,
2602, 3589, 4075, 3902, 3127, 2001, 890, 155, 35, 569,
1583, 2748, 3685, 4091, 3832, 2994, 1848, 767, 102, 69,
679, 1733, 2889, 3772, 4095, 3753, 2856, 1698, 652, 60,
114, 795, 1883, 3025, 3849, 4088, 3665, 2716, 1550, 546,
29, 168, 917, 2033, 3153, 3915, 4070, 3569, 2573, 1407,
449, 10, 232, 1044, 2181, 3275, 3971, 4042, 3466, 2429,
1269, 361, 1, 305, 1174, 2327, 3390, 4016, 4004, 3357,
2284, 1135, 282, 2, 386, 1308, 2471, 3496, 4051, 3956,
3242, 2140, 1008, 214, 14, 474, 1445, 2611, 3594, 4076,
3899, 3122, 1996, 887, 154, 36, 570, 1583, 2747, 3684,
4090, 3834, 2998, 1854, 773, 105, 67, 671, 1722, 2878,
3765, 4095, 3761, 2871, 1714, 666, 65, 107, 778, 1861,
3004, 3837, 4090, 3680, 2741, 1578, 566, 35, 156, 890,
2000, 3125, 3901, 4076, 3593, 2610, 1444, 474, 14, 213,
1007, 2138, 3239, 3955, 4052, 3500, 2477, 1315, 390, 3,
278, 1126, 2273, 3347, 4000, 4020, 3401, 2343, 1190, 314,
0, 349, 1249, 2407, 3448, 4036, 3980, 3297, 2210, 1070,
247, 7, 428, 1373, 2537, 3543, 4064, 3932, 3189, 2077,
956, 187, 22, 512, 1500, 2665, 3630, 4082, 3876, 3078,
1946, 847, 136, 45, 602, 1627, 2788, 3709, 4093, 3814,
2963, 1816, 744, 94, 76, 696, 1754, 2907, 3782, 4095,
3745, 2846, 1689, 647, 59, 114, 795, 1882, 3021, 3846,
4089, 3671, 2727, 1564, 557, 33, 160, 898, 2008, 3131,
3903, 4075, 3591, 2607, 1443, 474, 14, 212, 1004, 2134,
3235, 3953, 4054, 3506, 2486, 1325, 397, 3, 271, 1113,
2257, 3334, 3994, 4025, 3416, 2365, 1211, 327, 0, 335,
1224, 2379, 3427, 4029, 3990, 3323, 2244, 1101, 264, 4,
405, 1336, 2498, 3514, 4056, 3948, 3227, 2123, 996, 208,
15, 479, 1450, 2614, 3595, 4076, 3901, 3127, 2004, 895,
159, 33, 558, 1564, 2727, 3670, 4089, 3848, 3025, 1886,
800, 117, 57, 641, 1679, 2836, 3739, 4094, 3789, 2921,
1770, 710, 81, 88, 728, 1794, 2942, 3801, 4094, 3725,
2815, 1657, 625, 52, 124, 817, 1908, 3043, 3857, 4087,
3658, 2708, 1546, 545, 30, 166, 910, 2021, 3141, 3907,
4074, 3586, 2601, 1438, 471, 14, 213, 1005, 2133, 3233,
3951, 4054, 3510, 2493, 1332, 403, 4, 265, 1101, 2243,
3322, 3989, 4030, 3431, 2385, 1231, 340, 0, 321, 1199,
2351, 3405, 4021, 4000, 3349, 2278, 1133, 283, 2, 382,
1299, 2457, 3484, 4047, 3965, 3264, 2171, 1038, 231, 10,
446, 1399, 2561, 3557, 4067, 3925, 3177, 2065, 948, 185,
22, 513, 1499, 2662, 3626, 4082, 3881, 3089, 1961, 861,
144, 40, 584, 1600, 2760, 3690, 4091, 3833, 2999, 1858,
779, 108, 63, 658, 1700, 2855, 3749, 4095, 3781, 2908,
1757, 701, 78, 90, 734, 1800, 2946, 3803, 4094, 3725,
2816, 1659, 627, 53, 122, 812, 1899, 3035, 3852, 4088,
3666, 2723, 1562, 558, 33, 158, 891, 1997, 3120, 3896,
4077, 3604, 2630, 1468, 492, 18, 197, 973, 2094, 3201,
3936, 4062, 3540, 2537, 1376, 432, 8, 240, 1055, 2190,
3278, 3971, 4043, 3474, 2444, 1287, 375, 2, 287, 1139,
2283, 3352, 4001, 4020, 3405, 2352, 1202, 323, 0, 336,
1223, 2375, 3422, 4026, 3994, 3334, 2261, 1119, 275, 3,
388, 1308, 2465, 3488, 4048, 3964, 3262, 2170, 1039, 232,
9, 443, 1392, 2553, 3551, 4065, 3930, 3189, 2081, 962,
192, 20, 499, 1477, 2638, 3610, 4078, 3894, 3115, 1993,
889, 157, 33, 558, 1562, 2721, 3665, 4088, 3854, 3040,
1906, 818, 125, 51, 618, 1646, 2802, 3716, 4093, 3813,
2964, 1821, 751, 98, 71, 680, 1729, 2880, 3763, 4095,
3768, 2888, 1738, 687, 74, 95, 744, 1811, 2955, 3807,
4094, 3722, 2812, 1657, 627, 54, 121, 808, 1893, 3028,
3848, 4089, 3674, 2736, 1577, 570, 37, 150, 873, 1973,
3098, 3884, 4081, 3624, 2661, 1500, 516, 23, 181, 939,
2053, 3165, 3918, 4070, 3573, 2585, 1425, 465, 13, 215,
1005, 2130, 3229, 3948, 4057, 3520, 2510, 1352, 417, 6,
250, 1072, 2207, 3291, 3975, 4041, 3466, 2436, 1281, 372,
1, 288, 1139, 2282, 3349, 3999, 4022, 3411, 2363, 1213,
331, 0, 326, 1205, 2355, 3405, 4020, 4002, 3356, 2290,
1147, 292, 1, 367, 1272, 2426, 3459, 4038, 3979, 3300,
2219, 1083, 257, 5, 409, 1338, 2496, 3509, 4054, 3954,
3243, 2149, 1022, 224, 11, 451, 1404, 2563, 3557, 4066,
3928, 3187, 2080, 963, 193, 19, 495, 1469, 2629, 3602,
4077, 3900, 3130, 2012, 906, 166, 29, 540, 1534, 2693,
3645, 4084, 3871, 3073, 1946, 852, 141, 41, 585, 1598,
2755, 3685, 4090, 3840, 3016, 1881, 800, 118, 55, 631,
1661, 2814, 3722, 4093, 3809, 2960, 1818, 750, 98, 71,
677, 1723, 2872, 3758, 4095, 3776, 2903, 1756, 703, 80,
88, 723, 1783, 2928, 3791, 4095, 3743, 2848, 1696, 657,
64, 106, 770, 1843, 2982, 3821, 4092, 3708, 2793, 1638,
615, 50, 126, 817, 1902, 3034, 3850, 4089, 3674, 2738,
1581, 574, 38, 146, 863, 1959, 3083, 3876, 4083, 3639,
2684, 1526, 535, 28, 168, 909, 2015, 3131, 3901, 4077,
3603, 2631, 1473, 498, 20, 190, 955, 2070, 3177, 3923,
4069, 3567, 2579, 1421, 464, 13, 213, 1001, 2123, 3221,
3944, 4059, 3531, 2528, 1372, 431, 8, 237, 1046, 2175,
3263, 3963, 4049, 3495, 2478, 1323, 400, 4, 262, 1090,
2225, 3304, 3980, 4038, 3460, 2429, 1277, 371, 1, 286,
1134, 2274, 3342, 3995, 4026, 3424, 2382, 1232, 344, 0,
311, 1177, 2322, 3379, 4010, 4013, 3388, 2335, 1189, 318,
0, 336, 1220, 2368, 3413, 4022, 4000, 3353, 2289, 1148,
294, 1, 362, 1261, 2412, 3447, 4034, 3986, 3319, 2245,
1109, 272, 3, 387, 1302, 2455, 3478, 4044, 3972, 3285,
2202, 1071, 251, 5, 412, 1342, 2497, 3508, 4053, 3957,
3251, 2161, 1034, 231, 9, 437, 1380, 2536, 3536, 4061,
3942, 3218, 2120, 999, 213, 13, 462, 1418, 2575, 3563,
4067, 3927, 3186, 2081, 966, 196, 18, 487, 1455, 2612,
3588, 4073, 3911, 3154, 2044, 935, 181, 23, 511, 1490,
2647, 3612, 4078, 3896, 3123, 2007, 904, 166, 29, 535,
1525, 2681, 3635, 4082, 3880, 3093, 1973, 876, 153, 35,
559, 1558, 2713, 3656, 4086, 3865, 3064, 1939, 849, 140,
41, 581, 1590, 2744, 3676, 4089, 3850, 3036, 1907, 823,
129, 47, 604, 1621, 2774, 3695, 4091, 3835, 3009, 1876,
798, 119, 54, 625, 1650, 2802, 3713, 4093, 3820, 2983,
1847, 775, 109, 61, 646, 1678, 2828, 3729, 4094, 3806,
2958, 1819, 753, 100, 68, 666, 1705, 2853, 3744, 4095,
3792, 2934, 1793, 733, 92, 75, 686, 1731, 2877, 3759,
4095, 3779, 2911, 1768, 714, 85, 82, 705, 1755, 2899,
3772, 4095, 3766, 2889, 1744, 696, 78, 88, 722, 1779,
2920, 3784, 4095, 3753, 2868, 1722, 679, 72, 95, 739,
1800, 2940, 3796, 4094, 3741, 2849, 1701, 664, 67, 101,
755, 1821, 2958, 3806, 4094, 3730, 2830, 1681, 649, 62,
107, 770, 1840, 2976, 3816, 4093, 3719, 2813, 1663, 636,
58, 113, 784, 1858, 2991, 3825, 4092, 3709, 2797, 1646,
624, 54, 119, 797, 1874, 3006, 3833, 4091, 3700, 2782,
1631, 612, 50, 124, 809, 1889, 3019, 3840, 4090, 3691,
2769, 1617, 602, 47, 129, 820, 1903, 3031, 3846, 4089,
3683, 2757, 1604, 593, 45, 133, 830, 1915, 3042, 3852,
4089, 3676, 2746, 1593, 585, 42, 137, 839, 1926, 3051,
3857, 4088, 3670, 2736, 1583, 578, 40, 141, 847, 1935,
3059, 3861, 4087, 3664, 2727, 1575, 572, 39, 144, 854,
1944, 3066, 3865, 4086, 3659, 2720, 1567, 567, 37, 146,
860, 1951, 3072, 3868, 4086, 3655, 2714, 1561, 563, 36,
149, 864, 1956, 3077, 3870, 4085, 3652, 2710, 1557, 560,
35, 150, 868, 1960, 3080, 3872, 4085, 3650, 2706, 1553,
557, 35, 151, 870, 1963, 3082, 3873, 4084, 3649, 2704,
1551, 556, 34, 152, 871, 1964, 3084, 3874, 4084, 3648,
2704, 1551, 556, 34, 152, 871, 1964, 3083, 3874, 4084,
3648, 2704, 1552, 556, 35, 152, 870, 1963, 3082, 3873,
4085, 3650, 2706, 1554, 558, 35, 151, 868, 1960, 3080,
3872, 4085, 3652, 2709, 1557, 560, 36, 149, 865, 1956,
3076, 3870, 4085, 3654, 2714, 1562, 564, 37, 147, 861,
1951, 3071, 3867, 4086, 3658, 2719, 1568, 568, 38, 145,
855, 1944, 3065, 3864, 4087, 3663, 2727, 1575, 574, 39,
142, 849, 1936, 3058, 3860, 4087, 3668, 2735, 1584, 580,
41, 139, 841, 1926, 3049, 3855, 4088, 3674, 2744, 1594,
587, 43, 135, 832, 1915, 3040, 3850, 4089, 3681, 2755,
1605, 595, 46, 130, 823, 1903, 3029, 3844, 4090, 3689,
2767, 1618, 605, 49, 126, 812, 1889, 3017, 3837, 4091,
3697, 2781, 1632, 615, 52, 121, 800, 1874, 3003, 3830,
4092, 3706, 2795, 1648, 627, 55, 115, 787, 1858, 2989,
3822, 4093, 3716, 2811, 1665, 639, 60, 110, 773, 1840,
2973, 3812, 4093, 3727, 2828, 1683, 653, 64, 103, 758,
1821, 2955, 3803, 4094, 3738, 2847, 1702, 667, 69, 97,
742, 1801, 2937, 3792, 4095, 3750, 2866, 1723, 683, 75,
91, 726, 1779, 2917, 3780, 4095, 3762, 2887, 1746, 700,
81, 84, 708, 1756, 2896, 3767, 4095, 3775, 2908, 1770,
719, 88, 77, 690, 1731, 2873, 3754, 4095, 3788, 2931,
1795, 738, 96, 70, 670, 1706, 2849, 3739, 4094, 3802,
2955, 1821, 759, 104, 64, 650, 1679, 2824, 3723, 4093,
3816, 2980, 1849, 781, 113, 57, 630, 1651, 2797, 3707,
4092, 3831, 3006, 1879, 804, 123, 50, 608, 1621, 2769,
3689, 4090, 3846, 3033, 1909, 829, 134, 43, 586, 1590,
2739, 3669, 4087, 3861, 3061, 1942, 855, 146, 37, 563,
1558, 2708, 3649, 4084, 3876, 3090, 1975, 883, 159, 31,
540, 1525, 2675, 3627, 4080, 3891, 3120, 2010, 912, 172,
25, 516, 1491, 2641, 3604, 4076, 3907, 3151, 2047, 943,
187, 20, 492, 1455, 2606, 3580, 4070, 3922, 3182, 2084,
975, 204, 15, 467, 1419, 2569, 3554, 4064, 3937, 3215,
2123, 1008, 221, 10, 442, 1381, 2530, 3527, 4057, 3953,
3247, 2164, 1043, 240, 7, 417, 1342, 2490, 3498, 4048,
3967, 3281, 2206, 1080, 260, 4, 392, 1303, 2448, 3467,
4039, 3982, 3315, 2249, 1119, 282, 2, 367, 1262, 2405,
3435, 4028, 3996, 3350, 2293, 1159, 305, 0, 341, 1220,
2360, 3401, 4016, 4010, 3385, 2338, 1200, 329, 0, 316,
1178, 2314, 3366, 4002, 4022, 3420, 2385, 1244, 356, 1,
291, 1135, 2266, 3329, 3987, 4035, 3456, 2433, 1289, 384,
3, 266, 1091, 2217, 3290, 3971, 4046, 3492, 2482, 1336,
414, 6, 242, 1046, 2166, 3249, 3953, 4057, 3528, 2532,
1384, 445, 11, 218, 1001, 2114, 3206, 3933, 4066, 3563,
2583, 1435, 479, 17, 195, 956, 2061, 3161, 3911, 4074,
3599, 2635, 1487, 514, 25, 172, 910, 2006, 3115, 3888,
4081, 3635, 2688, 1540, 552, 34, 150, 864, 1950, 3066,
3862, 4087, 3670, 2742, 1596, 591, 45, 130, 817, 1892,
3016, 3835, 4091, 3705, 2797, 1653, 633, 59, 110, 771,
1833, 2963, 3805, 4094, 3739, 2852, 1712, 677, 74, 91,
724, 1773, 2909, 3773, 4095, 3773, 2908, 1772, 723, 91,
74, 678, 1712, 2852, 3739, 4094, 3805, 2964, 1834, 772,
110, 58, 631, 1650, 2794, 3703, 4091, 3837, 3020, 1898,
822, 132, 44, 586, 1587, 2733, 3664, 4086, 3868, 3077,
1963, 875, 156, 31, 540, 1523, 2671, 3622, 4079, 3897,
3134, 2030, 931, 183, 21, 496, 1458, 2606, 3578, 4069,
3925, 3191, 2097, 988, 212, 12, 452, 1393, 2540, 3532,
4057, 3952, 3248, 2167, 1048, 244, 6, 409, 1327, 2471,
3483, 4043, 3976, 3304, 2237, 1111, 278, 2, 367, 1261,
2401, 3431, 4026, 3999, 3360, 2309, 1176, 316, 0, 327,
1194, 2329, 3376, 4005, 4020, 3416, 2382, 1243, 356, 1,
288, 1127, 2256, 3318, 3982, 4039, 3470, 2455, 1312, 400,
5, 251, 1061, 2180, 3258, 3956, 4055, 3524, 2530, 1384,
446, 11, 215, 994, 2103, 3195, 3927, 4069, 3577, 2605,
1458, 496, 21, 182, 928, 2025, 3129, 3894, 4080, 3628,
2680, 1534, 549, 34, 150, 862, 1945, 3061, 3858, 4088,
3678, 2756, 1612, 605, 50, 121, 797, 1865, 2990, 3819,
4093, 3726, 2832, 1692, 664, 70, 95, 733, 1783, 2916,
3776, 4095, 3772, 2908, 1775, 727, 93, 72, 670, 1700,
2839, 3730, 4093, 3816, 2984, 1859, 792, 120, 51, 608,
1616, 2760, 3680, 4088, 3857, 3059, 1944, 862, 150, 34,
548, 1532, 2678, 3626, 4079, 3896, 3134, 2032, 934, 185,
20, 490, 1447, 2593, 3568, 4067, 3933, 3208, 2120, 1009,
224, 9, 433, 1363, 2507, 3507, 4050, 3966, 3281, 2210,
1088, 267, 3, 379, 1278, 2418, 3442, 4029, 3996, 3353,
2301, 1170, 314, 0, 328, 1194, 2327, 3373, 4004, 4022,
3423, 2393, 1255, 365, 2, 279, 1110, 2234, 3300, 3974,
4045, 3491, 2485, 1342, 420, 7, 233, 1026, 2139, 3223,
3940, 4064, 3557, 2578, 1433, 480, 18, 191, 944, 2043,
3143, 3901, 4078, 3621, 2671, 1526, 544, 33, 152, 863,
1945, 3059, 3857, 4088, 3682, 2764, 1622, 613, 53, 117,
784, 1847, 2972, 3808, 4094, 3740, 2856, 1720, 686, 78,
86, 707, 1747, 2881, 3755, 4095, 3794, 2948, 1820, 763,
108, 59, 632, 1647, 2787, 3697, 4090, 3845, 3039, 1922,
845, 143, 37, 559, 1546, 2690, 3633, 4081, 3893, 3128,
2026, 930, 184, 20, 489, 1446, 2590, 3565, 4066, 3936,
3216, 2131, 1020, 230, 8, 423, 1345, 2487, 3492, 4045,
3974, 3302, 2237, 1114, 282, 1, 360, 1246, 2382, 3414,
4019, 4008, 3385, 2345, 1211, 339, 0, 301, 1147, 2274,
3331, 3986, 4037, 3466, 2452, 1312, 402, 5, 246, 1050,
2165, 3243, 3948, 4060, 3544, 2560, 1417, 470, 16, 196,
954, 2053, 3151, 3904, 4078, 3618, 2668, 1524, 544, 33,
151, 860, 1940, 3054, 3853, 4089, 3688, 2775, 1635, 624,
57, 111, 769, 1827, 2953, 3797, 4095, 3754, 2881, 1748,
708, 87, 76, 681, 1712, 2848, 3734, 4094, 3815, 2986,
1863, 799, 123, 48, 596, 1597, 2739, 3664, 4086, 3872,
3089, 1981, 894, 167, 26, 516, 1483, 2626, 3589, 4071,
3923, 3189, 2100, 994, 217, 10, 439, 1369, 2510, 3507,
4050, 3968, 3287, 2220, 1099, 274, 2, 367, 1256, 2392,
3420, 4021, 4006, 3382, 2341, 1209, 338, 0, 300, 1144,
2270, 3327, 3984, 4039, 3472, 2462, 1323, 409, 6, 239,
1035, 2147, 3227, 3940, 4064, 3559, 2583, 1441, 487, 20,
184, 928, 2021, 3123, 3889, 4082, 3641, 2704, 1562, 572,
41, 135, 825, 1895, 3013, 3830, 4092, 3718, 2823, 1687,
663, 70, 93, 724, 1768, 2898, 3764, 4095, 3789, 2941,
1814, 761, 108, 59, 628, 1640, 2779, 3690, 4089, 3854,
3056, 1944, 865, 153, 32, 537, 1513, 2655, 3608, 4075,
3912, 3168, 2075, 974, 207, 13, 451, 1387, 2528, 3519,
4053, 3963, 3277, 2208, 1090, 269, 2, 371, 1262, 2397,
3423, 4021, 4006, 3381, 2342, 1211, 340, 0, 298, 1139,
2263, 3320, 3981, 4041, 3481, 2475, 1336, 419, 8, 231,
1019, 2127, 3210, 3932, 4068, 3575, 2608, 1466, 505, 24,
172, 902, 1989, 3094, 3874, 4086, 3664, 2740, 1600, 600,
50, 120, 790, 1851, 2972, 3807, 4094, 3746, 2869, 1738,
702, 85, 77, 682, 1711, 2845, 3731, 4093, 3820, 2997,
1878, 812, 130, 44, 580, 1572, 2712, 3646, 4083, 3887,
3120, 2020, 929, 185, 19, 484, 1434, 2575, 3552, 4062,
3946, 3240, 2164, 1052, 249, 5, 395, 1298, 2434, 3450,
4031, 3995, 3355, 2309, 1181, 323, 0, 313, 1164, 2290,
3340, 3989, 4035, 3464, 2453, 1317, 407, 6, 239, 1034,
2143, 3223, 3937, 4066, 3567, 2597, 1457, 499, 23, 174,
907, 1994, 3098, 3875, 4085, 3663, 2740, 1601, 601, 50,
119, 786, 1844, 2966, 3802, 4094, 3751, 2880, 1750, 712,
89, 73, 670, 1694, 2828, 3719, 4092, 3831, 3016, 1901,
831, 139, 38, 561, 1545, 2684, 3626, 4079, 3901, 3149,
2055, 958, 200, 14, 459, 1397, 2536, 3524, 4054, 3962,
3276, 2210, 1093, 272, 2, 366, 1251, 2383, 3411, 4017,
4011, 3397, 2365, 1234, 355, 1, 281, 1109, 2228, 3290,
3968, 4050, 3512, 2520, 1381, 449, 13, 207, 971, 2069,
3161, 3907, 4077, 3618, 2673, 1534, 554, 36, 142, 839,
1909, 3023, 3834, 4092, 3716, 2824, 1690, 668, 73, 89,
713, 1749, 2878, 3750, 4094, 3805, 2971, 1851, 792, 122,
48, 594, 1589, 2727, 3654, 4084, 3883, 3113, 2014, 925,
184, 19, 483, 1431, 2570, 3547, 4060, 3950, 3250, 2179,
1066, 258, 3, 382, 1276, 2409, 3430, 4023, 4005, 3381,
2344, 1215, 344, 1, 290, 1124, 2243, 3302, 3973, 4047,
3503, 2508, 1371, 443, 12, 210, 977, 2075, 3165, 3909,
4077, 3617, 2671, 1533, 554, 37, 142, 837, 1906, 3019,
3832, 4092, 3720, 2831, 1699, 675, 76, 86, 703, 1736,
2865, 3742, 4094, 3813, 2987, 1869, 807, 129, 44, 578,
1567, 2705, 3639, 4081, 3894, 3137, 2042, 949, 196, 15,
463, 1400, 2538, 3524, 4053, 3963, 3280, 2217, 1101, 277,
1, 358, 1237, 2366, 3397, 4011, 4018, 3416, 2391, 1260,
372, 2, 265, 1078, 2191, 3259, 3953, 4058, 3542, 2564,
1426, 481, 19, 184, 925, 2013, 3111, 3881, 4084, 3658,
2735, 1599, 601, 51, 117, 780, 1834, 2954, 3794, 4095,
3763, 2901, 1776, 734, 99, 65, 643, 1655, 2789, 3693,
4089, 3855, 3063, 1957, 879, 162, 27, 516, 1478, 2616,
3578, 4068, 3934, 3217, 2139, 1033, 241, 6, 401, 1305,
2438, 3450, 4030, 3997, 3363, 2323, 1197, 334, 0, 298,
1136, 2255, 3310, 3975, 4046, 3500, 2505, 1370, 443, 12,
209, 973, 2069, 3158, 3905, 4078, 3625, 2685, 1549, 566,
40, 134, 818, 1881, 2996, 3818, 4094, 3738, 2861, 1733,
702, 86, 75, 672, 1694, 2824, 3715, 4092, 3838, 3031,
1922, 851, 149, 33, 538, 1508, 2645, 3598, 4072, 3922,
3194, 2113, 1011, 229, 7, 415, 1326, 2459, 3466, 4035,
3991, 3349, 2305, 1182, 325, 0, 306, 1149, 2268, 3320,
3979, 4043, 3492, 2496, 1361, 438, 11, 212, 978, 2074,
3162, 3906, 4078, 3624, 2684, 1548, 566, 41, 134, 816,
1878, 2993, 3816, 4094, 3742, 2867, 1741, 708, 89, 72,
665, 1683, 2813, 3708, 4091, 3845, 3045, 1938, 865, 156,
29, 525, 1489, 2625, 3584, 4069, 3931, 3214, 2137, 1033,
241, 5, 399, 1300, 2431, 3444, 4027, 4001, 3373, 2337,
1212, 344, 1, 287, 1116, 2231, 3290, 3966, 4052, 3520,
2536, 1400, 465, 16, 193, 940, 2029, 3123, 3886, 4083,
3654, 2731, 1597, 602, 51, 116, 774, 1825, 2944, 3787,
4095, 3773, 2920, 1799, 754, 107, 57, 620, 1622, 2754,
3670, 4086, 3875, 3102, 2004, 920, 183, 19, 479, 1422,
2557, 3535, 4056, 3959, 3274, 2212, 1099, 278, 1, 354,
1227, 2352, 3384, 4005, 4024, 3435, 2419, 1290, 393, 5,
245, 1039, 2144, 3218, 3933, 4068, 3582, 2624, 1489, 525,
30, 154, 861, 1932, 3039, 3841, 4092, 3714, 2824, 1696,
675, 77, 84, 694, 1721, 2848, 3729, 4093, 3829, 3017,
1907, 841, 145, 34, 542, 1512, 2647, 3597, 4072, 3924,
3200, 2122, 1021, 235, 6, 404, 1307, 2438, 3448, 4028,
4000, 3372, 2337, 1213, 346, 1, 284, 1110, 2223, 3282,
3962, 4054, 3530, 2551, 1417, 476, 19, 184, 921, 2005,
3101, 3874, 4086, 3672, 2760, 1628, 626, 59, 104, 745,
1786, 2907, 3764, 4095, 3797, 2962, 1846, 792, 124, 46,
582, 1569, 2702, 3634, 4080, 3901, 3154, 2067, 974, 211,
11, 436, 1356, 2487, 3484, 4040, 3985, 3335, 2290, 1171,
320, 0, 308, 1149, 2267, 3316, 3977, 4046, 3501, 2511,
1378, 451, 14, 200, 953, 2042, 3132, 3890, 4083, 3651,
2728, 1596, 602, 52, 114, 769, 1816, 2934, 3780, 4095,
3782, 2937, 1820, 772, 115, 51, 599, 1591, 2723, 3648,
4082, 3893, 3137, 2048, 959, 203, 13, 446, 1371, 2502,
3495, 4043, 3980, 3325, 2278, 1160, 314, 0, 313, 1158,
2275, 3323, 3979, 4044, 3497, 2506, 1374, 449, 13, 201,
955, 2043, 3133, 3890, 4083, 3652, 2729, 1598, 604, 53,
112, 765, 1810, 2928, 3776, 4095, 3786, 2945, 1829, 780,
119, 49, 591, 1579, 2711, 3639, 4080, 3899, 3151, 2064,
973, 211, 11, 435, 1352, 2483, 3480, 4039, 3988, 3342,
2301, 1182, 328, 0, 299, 1134, 2248, 3301, 3970, 4050,
3518, 2535, 1403, 469, 17, 187, 927, 2009, 3103, 3874,
4086, 3674, 2764, 1635, 632, 62, 100, 734, 1769, 2890,
3753, 4094, 3809, 2985, 1874, 816, 135, 39, 558, 1532,
2664, 3608, 4074, 3920, 3193, 2116, 1018, 235, 6, 402,
1301, 2428, 3439, 4025, 4005, 3387, 2359, 1236, 361, 2,
268, 1079, 2186, 3250, 3947, 4063, 3562, 2599, 1467, 512,
27, 160, 870, 1940, 3043, 3841, 4092, 3717, 2832, 1707,
686, 82, 78, 676, 1694, 2819, 3709, 4091, 3848, 3055,
1954, 881, 165, 25, 502, 1452, 2584, 3552, 4060, 3953,
3264, 2203, 1095, 278, 1, 350, 1217, 2339, 3371, 3999,
4030, 3456, 2452, 1324, 417, 8, 222, 994, 2088, 3169,
3908, 4078, 3628, 2696, 1565, 582, 46, 122, 786, 1835,
2949, 3788, 4095, 3777, 2931, 1815, 770, 115, 51, 596,
1584, 2714, 3640, 4080, 3900, 3153, 2070, 979, 215, 10,
427, 1339, 2467, 3467, 4034, 3994, 3360, 2325, 1206, 343,
1, 283, 1104, 2213, 3271, 3956, 4058, 3547, 2578, 1447,
499, 24, 166, 883, 1954, 3054, 3847, 4091, 3711, 2824,
1699, 681, 80, 79, 679, 1696, 2820, 3709, 4091, 3849,
3058, 1959, 886, 168, 23, 496, 1442, 2572, 3543, 4057,
3959, 3277, 2221, 1111, 288, 1, 338, 1196, 2314, 3351,
3990, 4037, 3477, 2481, 1353, 437, 11, 207, 964, 2051,
3137, 3891, 4083, 3654, 2736, 1608, 613, 57, 106, 748,
1786, 2903, 3760, 4095, 3805, 2980, 1871, 815, 135, 38,
553, 1524, 2654, 3599, 4072, 3927, 3210, 2138, 1039, 247,
4, 383, 1270, 2393, 3411, 4014, 4017, 3421, 2406, 1282,
391, 5, 241, 1027, 2125, 3198, 3921, 4074, 3609, 2668,
1539, 564, 41, 130, 802, 1854, 2964, 3796, 4095, 3770,
2921, 1806, 764, 113, 51, 597, 1585, 2713, 3639, 4080,
3902, 3160, 2079, 988, 220, 8, 417, 1323, 2448, 3452,
4028, 4002, 3380, 2353, 1233, 361, 2, 266, 1072, 2175,
3240, 3941, 4066, 3577, 2622, 1493, 532, 33, 146, 838,
1899, 3004, 3818, 4094, 3747, 2883, 1764, 732, 100, 61,
626, 1623, 2750, 3663, 4084, 3886, 3129, 2042, 958, 205,
12, 438, 1354, 2481, 3476, 4036, 3992, 3356, 2322, 1205,
344, 1, 280, 1097, 2203, 3262, 3951, 4061, 3560, 2598,
1469, 516, 28, 155, 857, 1921, 3023, 3829, 4093, 3735,
2864, 1745, 718, 95, 65, 638, 1640, 2765, 3672, 4086,
3880, 3117, 2029, 947, 199, 13, 446, 1365, 2492, 3483,
4039, 3989, 3349, 2314, 1198, 340, 1, 283, 1102, 2208,
3265, 3952, 4061, 3558, 2596, 1467, 515, 28, 155, 857,
1920, 3022, 3828, 4093, 3737, 2867, 1749, 721, 96, 64,
634, 1633, 2759, 3668, 4085, 3883, 3124, 2038, 955, 204,
12, 439, 1354, 2479, 3474, 4035, 3993, 3360, 2329, 1212,
349, 1, 275, 1087, 2190, 3250, 3945, 4064, 3571, 2615,
1487, 529, 32, 147, 838, 1897, 3001, 3816, 4094, 3751,
2891, 1775, 742, 105, 57, 613, 1605, 2731, 3649, 4082,
3897, 3151, 2070, 983, 218, 9, 418, 1321, 2445, 3448,
4026, 4004, 3389, 2366, 1247, 371, 3, 255, 1051, 2149,
3217, 3929, 4071, 3599, 2657, 1530, 559, 41, 130, 801,
1850, 2959, 3791, 4095, 3778, 2936, 1824, 781, 121, 46,
577, 1554, 2681, 3616, 4075, 3919, 3197, 2125, 1031, 244,
4, 384, 1267, 2388, 3405, 4010, 4021, 3434, 2426, 1304,
407, 7, 226, 996, 2086, 3163, 3903, 4080, 3641, 2720,
1595, 606, 55, 107, 747, 1781, 2896, 3754, 4094, 3815,
3000, 1897, 839, 147, 32, 526, 1482, 2609, 3566, 4063,
3949, 3260, 2203, 1100, 283, 1, 338, 1194, 2307, 3343,
3986, 4042, 3494, 2508, 1383, 459, 16, 188, 923, 1999,
3089, 3864, 4089, 3696, 2803, 1682, 672, 78, 80, 678,
1690, 2811, 3700, 4089, 3861, 3083, 1992, 918, 185, 17,
463, 1388, 2513, 3497, 4043, 3984, 3339, 2304, 1191, 337,
1, 284, 1101, 2204, 3260, 3949, 4063, 3567, 2611, 1485,
529, 32, 145, 834, 1889, 2993, 3810, 4094, 3759, 2907,
1794, 758, 112, 52, 595, 1577, 2702, 3629, 4077, 3912,
3183, 2110, 1019, 238, 5, 389, 1275, 2394, 3409, 4012,
4020, 3433, 2426, 1305, 409, 8, 223, 990, 2077, 3155,
3898, 4082, 3650, 2735, 1611, 620, 60, 101, 730, 1758,
2873, 3739, 4093, 3830, 3027, 1929, 866, 161, 25, 501,
1444, 2569, 3537, 4054, 3966, 3297, 2251, 1144, 309, 0,
309, 1144, 2252, 3297, 3966, 4054, 3537, 2569, 1444, 501,
26, 160, 865, 1927, 3026, 3828, 4093, 3740, 2876, 1762,
733, 102, 58, 615, 1605, 2728, 3646, 4081, 3902, 3163,
2087, 1000, 229, 6, 401, 1292, 2412, 3421, 4016, 4016,
3423, 2414, 1294, 402, 7, 227, 998, 2085, 3160, 3900,
4081, 3648, 2732, 1609, 619, 60, 101, 729, 1755, 2870,
3736, 4093, 3832, 3033, 1937, 873, 165, 24, 494, 1432,
2557, 3527, 4051, 3971, 3310, 2268, 1160, 319, 0, 298,
1124, 2229, 3278, 3957, 4059, 3555, 2596, 1471, 521, 31,
149, 840, 1895, 2996, 3811, 4094, 3760, 2910, 1799, 764,
115, 49, 586, 1563, 2687, 3617, 4075, 3921, 3202, 2135,
1042, 252, 3, 371, 1244, 2359, 3380, 4000, 4031, 3464,
2470, 1349, 438, 12, 200, 945, 2022, 3106, 3872, 4088,
3689, 2795, 1676, 669, 78, 80, 675, 1683, 2802, 3693,
4088, 3869, 3100, 2015, 939, 197, 13, 442, 1354, 2475,
3468, 4032, 3999, 3378, 2356, 1241, 369, 3, 252, 1043,
2135, 3202, 3920, 4075, 3619, 2690, 1567, 589, 50, 113,
758, 1792, 2902, 3755, 4094, 3817, 3007, 1908, 851, 154,
28, 509, 1454, 2577, 3541, 4055, 3965, 3297, 2254, 1148,
313, 0, 304, 1132, 2236, 3283, 3959, 4059, 3553, 2595,
1472, 522, 31, 147, 835, 1888, 2989, 3806, 4095, 3767,
2922, 1814, 776, 121, 45, 572, 1543, 2666, 3602, 4071,
3931, 3225, 2164, 1068, 267, 2, 352, 1212, 2323, 3352,
3988, 4041, 3494, 2512, 1390, 466, 18, 180, 904, 1971,
3062, 3847, 4092, 3721, 2847, 1733, 714, 95, 63, 629,
1620, 2740, 3652, 4082, 3899, 3160, 2087, 1002, 231, 6,
395, 1281, 2397, 3408, 4010, 4023, 3441, 2441, 1322, 422,
10, 210, 963, 2042, 3122, 3879, 4086, 3680, 2784, 1666,
663, 76, 81, 677, 1685, 2802, 3692, 4088, 3871, 3106,
2023, 947, 202, 12, 433, 1339, 2458, 3453, 4027, 4006,
3396, 2382, 1267, 387, 5, 237, 1012, 2099, 3170, 3904,
4080, 3646, 2732, 1612, 623, 62, 97, 718, 1738, 2851,
3723, 4092, 3847, 3062, 1972, 905, 181, 18, 463, 1385,
2505, 3488, 4038, 3991, 3361, 2336, 1225, 360, 2, 258,
1051, 2143, 3207, 3922, 4075, 3619, 2692, 1571, 594, 52,
110, 749, 1777, 2887, 3745, 4093, 3828, 3028, 1935, 874,
166, 23, 486, 1419, 2539, 3513, 4046, 3980, 3335, 2303,
1194, 342, 1, 274, 1079, 2174, 3232, 3934, 4070, 3600,
2664, 1543, 574, 46, 119, 770, 1804, 2911, 3759, 4094,
3815, 3006, 1910, 855, 157, 26, 501, 1440, 2561, 3528,
4051, 3973, 3318, 2283, 1176, 331, 0, 283, 1095, 2192,
3246, 3941, 4068, 3589, 2649, 1528, 563, 43, 124, 781,
1818, 2923, 3767, 4095, 3809, 2996, 1898, 846, 153, 28,
508, 1449, 2570, 3534, 4053, 3971, 3312, 2275, 1170, 328,
0, 286, 1100, 2197, 3250, 3942, 4067, 3587, 2646, 1525,
561, 43, 124, 782, 1818, 2924, 3767, 4095, 3810, 2997,
1900, 847, 154, 28, 506, 1446, 2566, 3531, 4052, 3972,
3317, 2281, 1176, 331, 1, 283, 1093, 2189, 3243, 3939,
4068, 3593, 2655, 1535, 569, 45, 120, 772, 1806, 2912,
3759, 4094, 3817, 3010, 1915, 859, 160, 25, 495, 1430,
2550, 3519, 4048, 3978, 3331, 2300, 1193, 342, 1, 272,
1075, 2168, 3225, 3930, 4072, 3608, 2677, 1558, 585, 50,
112, 753, 1781, 2889, 3745, 4093, 3830, 3034, 1942, 882,
171, 21, 476, 1402, 2521, 3498, 4041, 3988, 3355, 2331,
1222, 360, 2, 256, 1045, 2134, 3197, 3916, 4077, 3631,
2712, 1594, 612, 59, 100, 724, 1743, 2853, 3723, 4091,
3849, 3069, 1983, 917, 188, 15, 450, 1362, 2479, 3467,
4031, 4002, 3390, 2376, 1264, 387, 5, 234, 1004, 2087,
3157, 3896, 4083, 3662, 2758, 1642, 648, 71, 85, 685,
1692, 2805, 3692, 4088, 3874, 3115, 2037, 962, 212, 9,
416, 1309, 2423, 3425, 4016, 4018, 3433, 2433, 1319, 422,
10, 207, 953, 2026, 3106, 3869, 4089, 3699, 2816, 1704,
694, 89, 68, 638, 1628, 2744, 3652, 4081, 3903, 3171,
2104, 1020, 243, 4, 375, 1245, 2355, 3373, 3995, 4036,
3484, 2503, 1386, 466, 19, 176, 892, 1953, 3042, 3834,
4093, 3742, 2886, 1779, 753, 112, 49, 583, 1553, 2670,
3602, 4070, 3935, 3237, 2184, 1090, 282, 0, 329, 1171,
2273, 3309, 3968, 4055, 3543, 2585, 1467, 522, 32, 143,
822, 1866, 2965, 3790, 4095, 3790, 2966, 1867, 823, 144,
32, 521, 1465, 2583, 3541, 4054, 3969, 3311, 2277, 1174,
332, 1, 280, 1086, 2178, 3232, 3933, 4071, 3607, 2678,
1561, 589, 52, 109, 744, 1767, 2874, 3735, 4092, 3841,
3055, 1969, 906, 184, 16, 454, 1366, 2482, 3468, 4031,
4003, 3393, 2382, 1271, 392, 6, 228, 992, 2070, 3141,
3887, 4085, 3676, 2782, 1669, 669, 80, 76, 659, 1656,
2769, 3668, 4084, 3893, 3153, 2084, 1004, 235, 5, 383,
1257, 2366, 3380, 3998, 4035, 3480, 2499, 1383, 466, 19,
176, 890, 1948, 3036, 3830, 4093, 3748, 2896, 1792, 764,
118, 46, 570, 1533, 2650, 3587, 4066, 3945, 3259, 2212,
1117, 298, 0, 311, 1139, 2237, 3278, 3954, 4062, 3571,
2627, 1510, 554, 41, 125, 781, 1814, 2916, 3760, 4094,
3820, 3018, 1928, 874, 168, 21, 477, 1400, 2515, 3492,
4038, 3993, 3369, 2353, 1245, 376, 4, 240, 1013, 2093,
3160, 3897, 4083, 3664, 2765, 1652, 657, 75, 80, 669,
1668, 2780, 3674, 4085, 3890, 3148, 2078, 1000, 233, 5,
384, 1258, 2366, 3379, 3997, 4036, 3483, 2504, 1390, 470,
20, 172, 881, 1937, 3025, 3824, 4094, 3756, 2911, 1809,
778, 124, 42, 555, 1511, 2627, 3571, 4062, 3955, 3281,
2241, 1144, 315, 0, 294, 1108, 2202, 3249, 3940, 4069,
3597, 2666, 1551, 583, 50, 110, 746, 1768, 2873, 3733,
4092, 3845, 3064, 1981, 918, 190, 14, 441, 1345, 2458,
3449, 4023, 4012, 3417, 2416, 1305, 415, 10, 209, 954,
2023, 3100, 3864, 4090, 3709, 2835, 1728, 715, 98, 59,
610, 1588, 2702, 3622, 4074, 3926, 3220, 2166, 1077, 276,
1, 332, 1173, 2273, 3306, 3966, 4056, 3551, 2600, 1485,
537, 37, 133, 797, 1832, 2931, 3768, 4095, 3814, 3010,
1921, 869, 166, 22, 478, 1400, 2513, 3489, 4037, 3995,
3376, 2363, 1256, 384, 5, 232, 996, 2073, 3142, 3886,
4086, 3681, 2792, 1683, 681, 85, 70, 641, 1630, 2741,
3648, 4080, 3909, 3187, 2128, 1044, 258, 2, 352, 1205,
2307, 3333, 3977, 4050, 3529, 2570, 1456, 517, 31, 143,
819, 1859, 2955, 3782, 4095, 3802, 2989, 1897, 850, 157,
25, 492, 1419, 2533, 3502, 4041, 3990, 3363, 2347, 1242,
375, 4, 238, 1008, 2085, 3152, 3891, 4085, 3675, 2783,
1674, 675, 83, 72, 646, 1635, 2746, 3650, 4080, 3908,
3185, 2126, 1043, 258, 2, 352, 1204, 2305, 3330, 3976,
4051, 3533, 2575, 1461, 521, 33, 140, 813, 1850, 2946,
3776, 4095, 3808, 2999, 1910, 861, 163, 23, 482, 1404,
2516, 3490, 4037, 3996, 3378, 2367, 1261, 388, 6, 228,
988, 2061, 3131, 3880, 4087, 3691, 2809, 1701, 696, 91,
64, 624, 1605, 2716, 3630, 4076, 3922, 3214, 2161, 1074,
275, 1, 331, 1169, 2267, 3299, 3962, 4059, 3561, 2615,
1502, 550, 41, 125, 777, 1805, 2904, 3751, 4094, 3832,
3043, 1959, 902, 184, 16, 448, 1353, 2464, 3451, 4024,
4012, 3420, 2423, 1314, 423, 11, 201, 937, 2001, 3078,
3851, 4092, 3728, 2868, 1765, 746, 112, 49, 577, 1539,
2651, 3585, 4065, 3949, 3271, 2232, 1138, 313, 0, 292,
1102, 2191, 3238, 3934, 4072, 3612, 2691, 1579, 606, 58,
98, 713, 1723, 2828, 3702, 4089, 3872, 3117, 2046, 976,
222, 7, 394, 1270, 2375, 3383, 3998, 4036, 3488, 2514,
1403, 482, 23, 162, 857, 1903, 2992, 3803, 4095, 3783,
2959, 1866, 827, 147, 29, 506, 1438, 2550, 3513, 4044,
3986, 3356, 2340, 1237, 374, 4, 237, 1004, 2079, 3145,
3886, 4086, 3684, 2799, 1693, 691, 90, 65, 626, 1605,
2715, 3629, 4075, 3924, 3220, 2169, 1083, 281, 0, 323,
1154, 2249, 3284, 3955, 4063, 3577, 2640, 1529, 570, 47,
114, 751, 1770, 2871, 3729, 4092, 3852, 3080, 2004, 941,
204, 10, 417, 1305, 2411, 3410, 4008, 4028, 3464, 2483,
1373, 463, 19, 173, 879, 1930, 3015, 3815, 4095, 3771,
2939, 1845, 810, 140, 32, 518, 1454, 2565, 3524, 4047,
3982, 3347, 2329, 1228, 368, 4, 241, 1010, 2085, 3149,
3888, 4086, 3683, 2798, 1693, 692, 90, 65, 623, 1601,
2711, 3625, 4074, 3927, 3227, 2179, 1092, 287, 0, 316,
1142, 2234, 3271, 3948, 4066, 3589, 2659, 1548, 585, 52,
106, 732, 1745, 2847, 3714, 4090, 3865, 3105, 2034, 967,
218, 7, 397, 1272, 2376, 3383, 3997, 4037, 3492, 2522,
1412, 490, 25, 156, 843, 1884, 2974, 3791, 4095, 3797,
2984, 1896, 852, 160, 23, 482, 1401, 2510, 3483, 4034,
4001, 3393, 2389, 1285, 405, 8, 211, 954, 2019, 3091,
3857, 4091, 3724, 2864, 1764, 747, 113, 47, 570, 1527,
2637, 3574, 4062, 3958, 3292, 2260, 1166, 331, 1, 272,
1065, 2147, 3199, 3913, 4079, 3648, 2746, 1639, 652, 75,
78, 660, 1649, 2756, 3654, 4080, 3909, 3191, 2137, 1056,
267, 1, 336, 1174, 2269, 3298, 3960, 4060, 3569, 2631,
1521, 566, 46, 114, 750, 1767, 2866, 3725, 4091, 3857,
3091, 2019, 955, 212, 8, 403, 1281, 2384, 3388, 3998,
4036, 3490, 2520, 1411, 490, 25, 155, 840, 1880, 2969,
3787, 4095, 3802, 2993, 1907, 863, 166, 21, 471, 1384,
2492, 3469, 4029, 4007, 3410, 2413, 1309, 421, 11, 199,
929, 1987, 3063, 3841, 4093, 3744, 2898, 1802, 778, 127,
39, 540, 1484, 2593, 3542, 4053, 3975, 3331, 2311, 1214,
361, 3, 245, 1015, 2088, 3150, 3888, 4086, 3686, 2806,
1703, 701, 94, 60, 609, 1580, 2687, 3607, 4070, 3940,
3254, 2215, 1127, 308, 0, 292, 1099, 2184, 3229, 3927,
4075, 3628, 2718, 1611, 632, 68, 85, 677, 1670, 2774,
3666, 4082, 3903, 3179, 2124, 1046, 262, 1, 340, 1179,
2273, 3300, 3961, 4060, 3570, 2634, 1525, 570, 48, 111,
742, 1756, 2855, 3717, 4090, 3865, 3107, 2039, 973, 222,
6, 388, 1256, 2356, 3365, 3989, 4044, 3514, 2554, 1447,
515, 32, 139, 806, 1836, 2928, 3762, 4094, 3827, 3039,
1960, 907, 188, 14, 435, 1328, 2432, 3423, 4012, 4025,
3459, 2480, 1374, 466, 20, 168, 866, 1910, 2994, 3801,
4095, 3789, 2974, 1887, 847, 159, 23, 480, 1396, 2502,
3475, 4031, 4006, 3408, 2411, 1309, 422, 12, 196, 923,
1979, 3054, 3836, 4093, 3753, 2913, 1820, 794, 134, 34,
523, 1458, 2566, 3521, 4046, 3986, 3359, 2348, 1250, 384,
6, 224, 976, 2041, 3108, 3865, 4090, 3718, 2857, 1760,
746, 114, 46, 564, 1516, 2623, 3562, 4058, 3966, 3313,
2290, 1197, 351, 2, 251, 1025, 2098, 3156, 3890, 4086,
3685, 2806, 1705, 704, 96, 58, 602, 1568, 2674, 3597,
4067, 3947, 3272, 2238, 1150, 323, 0, 276, 1069, 2149,
3198, 3911, 4080, 3655, 2760, 1657, 668, 82, 70, 636,
1615, 2719, 3628, 4074, 3929, 3234, 2192, 1108, 299, 0,
299, 1109, 2193, 3235, 3929, 4074, 3627, 2719, 1615, 637,
71, 82, 667, 1656, 2758, 3654, 4080, 3913, 3201, 2152,
1073, 278, 0, 320, 1144, 2232, 3266, 3944, 4069, 3603,
2684, 1578, 610, 61, 92, 694, 1691, 2792, 3675, 4084,
3898, 3172, 2118, 1043, 262, 1, 338, 1174, 2264, 3292,
3956, 4063, 3582, 2654, 1548, 588, 54, 102, 717, 1720,
2819, 3693, 4087, 3885, 3148, 2090, 1019, 248, 2, 353,
1198, 2291, 3313, 3965, 4059, 3565, 2629, 1524, 571, 49,
109, 735, 1744, 2841, 3707, 4089, 3875, 3129, 2067, 1000,
238, 4, 365, 1217, 2311, 3329, 3972, 4055, 3552, 2611,
1505, 558, 45, 115, 749, 1762, 2857, 3717, 4090, 3868,
3115, 2051, 986, 231, 5, 374, 1231, 2326, 3340, 3977,
4052, 3543, 2598, 1493, 549, 42, 120, 759, 1773, 2868,
3723, 4091, 3863, 3106, 2041, 978, 226, 5, 379, 1239,
2335, 3346, 3980, 4050, 3537, 2591, 1486, 544, 41, 122,
763, 1779, 2873, 3726, 4091, 3860, 3102, 2036, 974, 224,
6, 381, 1242, 2337, 3348, 3981, 4050, 3536, 2589, 1484,
544, 41, 122, 764, 1779, 2873, 3726, 4091, 3861, 3103,
2038, 976, 225, 5, 380, 1239, 2334, 3346, 3979, 4051,
3539, 2594, 1489, 547, 42, 120, 759, 1773, 2867, 3722,
4090, 3864, 3109, 2046, 982, 229, 5, 375, 1231, 2325,
3338, 3976, 4053, 3546, 2604, 1499, 555, 44, 116, 750,
1761, 2856, 3715, 4090, 3870, 3121, 2059, 994, 236, 4,
366, 1218, 2310, 3326, 3971, 4056, 3557, 2620, 1516, 566,
48, 110, 736, 1743, 2839, 3704, 4088, 3879, 3137, 2079,
1011, 245, 3, 355, 1198, 2289, 3309, 3963, 4060, 3572,
2641, 1538, 582, 53, 103, 718, 1719, 2816, 3690, 4086,
3890, 3159, 2105, 1034, 258, 2, 340, 1174, 2262, 3288,
3953, 4065, 3591, 2668, 1566, 603, 60, 94, 695, 1690,
2788, 3671, 4083, 3903, 3185, 2136, 1062, 274, 1, 322,
1144, 2229, 3261, 3941, 4071, 3613, 2701, 1599, 628, 68,
83, 669, 1654, 2754, 3649, 4078, 3919, 3216, 2174, 1095,
293, 0, 301, 1110, 2190, 3229, 3925, 4076, 3639, 2739,
1639, 658, 79, 72, 638, 1613, 2714, 3622, 4073, 3936,
3251, 2217, 1134, 316, 0, 279, 1070, 2145, 3192, 3906,
4082, 3667, 2783, 1685, 692, 93, 60, 604, 1566, 2668,
3590, 4065, 3954, 3291, 2266, 1179, 343, 2, 254, 1026,
2094, 3149, 3884, 4087, 3699, 2832, 1737, 733, 109, 48,
566, 1514, 2617, 3554, 4055, 3973, 3334, 2322, 1230, 375,
5, 227, 977, 2037, 3100, 3858, 4091, 3732, 2885, 1795,
778, 129, 36, 526, 1457, 2558, 3512, 4042, 3993, 3381,
2382, 1287, 412, 10, 199, 924, 1974, 3045, 3827, 4094,
3768, 2943, 1859, 830, 153, 25, 483, 1394, 2494, 3465,
4026, 4013, 3431, 2449, 1350, 453, 18, 171, 867, 1905,
2984, 3792, 4095, 3805, 3006, 1930, 888, 181, 15, 437,
1326, 2423, 3412, 4006, 4032, 3485, 2521, 1420, 501, 29,
142, 806, 1830, 2916, 3751, 4093, 3843, 3073, 2006, 952,
214, 7, 391, 1253, 2346, 3352, 3981, 4050, 3540, 2598,
1496, 554, 45, 114, 743, 1749, 2842, 3705, 4088, 3881,
3144, 2089, 1023, 253, 2, 343, 1177, 2263, 3286, 3952,
4066, 3597, 2680, 1579, 615, 64, 87, 677, 1664, 2761,
3652, 4079, 3918, 3217, 2178, 1101, 297, 0, 295, 1096,
2173, 3213, 3916, 4079, 3655, 2766, 1669, 682, 89, 63,
610, 1573, 2673, 3592, 4065, 3955, 3293, 2272, 1186, 348,
2, 247, 1012, 2077, 3133, 3875, 4089, 3713, 2856, 1766,
756, 120, 41, 541, 1477, 2577, 3525, 4045, 3989, 3371,
2372, 1278, 407, 10, 201, 926, 1975, 3044, 3826, 4094,
3771, 2950, 1869, 839, 158, 23, 472, 1377, 2475, 3450,
4020, 4020, 3451, 2476, 1378, 473, 23, 157, 837, 1867,
2948, 3770, 4094, 3828, 3047, 1978, 929, 203, 9, 404,
1273, 2366, 3366, 3987, 4047, 3530, 2586, 1486, 548, 43,
116, 747, 1753, 2844, 3705, 4088, 3882, 3146, 2094, 1028,
256, 1, 337, 1166, 2249, 3274, 3946, 4069, 3609, 2699,
1601, 632, 71, 80, 657, 1635, 2732, 3632, 4074, 3932,
3247, 2215, 1136, 319, 0, 273, 1057, 2126, 3173, 3896,
4085, 3687, 2816, 1723, 724, 107, 49, 567, 1512, 2612,
3548, 4052, 3978, 3348, 2342, 1252, 391, 7, 212, 946,
1997, 3063, 3836, 4094, 3762, 2935, 1853, 827, 153, 24,
479, 1386, 2483, 3455, 4021, 4019, 3448, 2474, 1377, 473,
23, 156, 834, 1862, 2943, 3766, 4094, 3832, 3056, 1990,
940, 209, 8, 394, 1257, 2347, 3351, 3980, 4052, 3546,
2609, 1510, 566, 49, 107, 724, 1722, 2814, 3685, 4085,
3898, 3178, 2132, 1063, 277, 0, 314, 1126, 2204, 3237,
3927, 4076, 3641, 2748, 1653, 671, 86, 65, 615, 1578,
2675, 3592, 4064, 3956, 3299, 2281, 1196, 356, 3, 239,
995, 2054, 3111, 3862, 4091, 3732, 2888, 1803, 787, 135,
32, 510, 1430, 2528, 3487, 4032, 4007, 3417, 2434, 1339,
448, 18, 171, 864, 1897, 2974, 3784, 4095, 3816, 3029,
1960, 916, 197, 10, 410, 1280, 2371, 3369, 3987, 4047,
3532, 2590, 1492, 554, 45, 112, 736, 1736, 2826, 3693,
4086, 3893, 3170, 2124, 1056, 273, 0, 316, 1130, 2207,
3239, 3928, 4076, 3642, 2749, 1655, 673, 87, 64, 611,
1571, 2668, 3587, 4063, 3960, 3307, 2293, 1208, 364, 4,
231, 980, 2036, 3095, 3853, 4092, 3744, 2909, 1826, 806,
144, 28, 492, 1403, 2500, 3466, 4025, 4015, 3441, 2466,
1371, 471, 23, 156, 833, 1859, 2938, 3762, 4094, 3837,
3067, 2004, 954, 217, 6, 381, 1235, 2322, 3330, 3970,
4058, 3568, 2643, 1546, 593, 58, 94, 691, 1677, 2770,
3655, 4079, 3920, 3223, 2189, 1114, 308, 0, 280, 1068,
2136, 3179, 3898, 4085, 3687, 2820, 1730, 732, 111, 46,
555, 1493, 2589, 3531, 4046, 3989, 3374, 2379, 1288, 416,
12, 191, 903, 1944, 3014, 3807, 4095, 3796, 2995, 1923,
886, 183, 14, 428, 1307, 2399, 3389, 3995, 4042, 3517,
2571, 1475, 543, 42, 117, 745, 1746, 2834, 3697, 4086,
3891, 3168, 2123, 1056, 274, 0, 313, 1123, 2199, 3230,
3923, 4078, 3651, 2764, 1672, 688, 93, 58, 594, 1546,
2642, 3567, 4057, 3971, 3334, 2328, 1242, 386, 7, 212,
944, 1991, 3055, 3830, 4094, 3772, 2956, 1880, 851, 166,
19, 454, 1345, 2437, 3418, 4006, 4033, 3492, 2536, 1441,
519, 35, 128, 770, 1778, 2863, 3715, 4089, 3878, 3143,
2095, 1032, 261, 1, 327, 1146, 2223, 3249, 3932, 4075,
3637, 2745, 1652, 673, 87, 63, 606, 1562, 2657, 3578,
4060, 3966, 3323, 2315, 1230, 379, 6, 217, 952, 2000,
3062, 3834, 4094, 3769, 2951, 1874, 848, 164, 20, 455,
1347, 2439, 3419, 4006, 4033, 3492, 2538, 1443, 522, 36,
126, 766, 1772, 2857, 3711, 4088, 3882, 3151, 2104, 1042,
266, 1, 320, 1134, 2209, 3238, 3926, 4077, 3648, 2761,
1670, 687, 93, 58, 592, 1542, 2637, 3563, 4056, 3974,
3342, 2340, 1254, 395, 8, 205, 928, 1971, 3036, 3819,
4095, 3786, 2980, 1907, 875, 178, 15, 433, 1313, 2402,
3390, 3995, 4043, 3520, 2577, 1482, 549, 45, 112, 733,
1729, 2816, 3684, 4084, 3902, 3191, 2152, 1084, 291, 0,
294, 1088, 2157, 3195, 3904, 4084, 3681, 2812, 1725, 730,
111, 45, 551, 1485, 2579, 3522, 4043, 3994, 3390, 2402,
1313, 434, 15, 177, 873, 1904, 2977, 3783, 4095, 3821,
3042, 1978, 934, 208, 8, 389, 1244, 2328, 3333, 3970,
4058, 3573, 2652, 1559, 605, 63, 87, 671, 1648, 2739,
3632, 4074, 3937, 3260, 2238, 1162, 338, 2, 250, 1011,
2067, 3118, 3864, 4091, 3735, 2898, 1818, 803, 144, 27,
487, 1392, 2484, 3451, 4018, 4023, 3464, 2501, 1409, 499,
30, 137, 789, 1800, 2881, 3725, 4090, 3873, 3135, 2087,
1028, 260, 1, 326, 1142, 2216, 3242, 3928, 4077, 3648,
2762, 1673, 690, 95, 56, 585, 1531, 2624, 3553, 4052,
3981, 3358, 2361, 1276, 410, 11, 192, 903, 1939, 3007,
3801, 4095, 3806, 3016, 1949, 911, 197, 10, 403, 1266,
2350, 3349, 3977, 4055, 3561, 2636, 1543, 594, 59, 91,
680, 1658, 2748, 3638, 4075, 3934, 3256, 2234, 1159, 336,
2, 250, 1010, 2065, 3116, 3862, 4091, 3739, 2904, 1826,
811, 148, 26, 479, 1379, 2470, 3440, 4014, 4028, 3478,
2520, 1429, 513, 34, 129, 769, 1774, 2856, 3708, 4088,
3886, 3161, 2119, 1057, 277, 0, 307, 1108, 2177, 3210,
3911, 4082, 3674, 2803, 1717, 725, 110, 45, 551, 1482,
2574, 3517, 4041, 3998, 3400, 2417, 1329, 446, 18, 168,
852, 1876, 2950, 3766, 4094, 3839, 3075, 2019, 970, 229,
4, 361, 1197, 2275, 3289, 3949, 4069, 3613, 2713, 1623,
654, 81, 67, 617, 1573, 2664, 3580, 4060, 3968, 3329,
2327, 1245, 391, 8, 205, 926, 1965, 3028, 3813, 4095,
3795, 2999, 1932, 898, 191, 11, 411, 1275, 2359, 3355,
3979, 4054, 3559, 2634, 1543, 595, 60, 90, 676, 1652,
2740, 3631, 4073, 3939, 3268, 2250, 1174, 347, 3, 239,
990, 2041, 3094, 3849, 4093, 3756, 2933, 1859, 839, 161,
20, 454, 1341, 2429, 3408, 4001, 4039, 3511, 2568, 1477,
548, 45, 110, 726, 1717, 2801, 3672, 4081, 3913, 3215,
2186, 1117, 312, 0, 270, 1043, 2102, 3146, 3877, 4089,
3722, 2879, 1800, 792, 139, 29, 491, 1395, 2484, 3450,
4017, 4025, 3472, 2515, 1425, 512, 34, 128, 767, 1769,
2850, 3703, 4087, 3892, 3174, 2136, 1073, 287, 0, 294,
1086, 2150, 3185, 3898, 4085, 3695, 2837, 1755, 756, 124,
37, 520, 1436, 2526, 3480, 4028, 4014, 3442, 2475, 1387,
486, 27, 142, 797, 1807, 2885, 3725, 4090, 3875, 3143,
2100, 1042, 269, 0, 312, 1116, 2184, 3213, 3912, 4082,
3676, 2808, 1724, 733, 113, 43, 540, 1465, 2554, 3501,
4035, 4006, 3422, 2449, 1361, 469, 23, 152, 817, 1831,
2907, 3739, 4091, 3865, 3124, 2077, 1023, 258, 1, 323,
1134, 2204, 3229, 3920, 4080, 3664, 2791, 1707, 719, 108,
46, 551, 1480, 2569, 3511, 4038, 4002, 3412, 2436, 1349,
461, 22, 156, 826, 1842, 2916, 3744, 4092, 3861, 3116,
2069, 1016, 255, 1, 327, 1140, 2210, 3234, 3922, 4079,
3662, 2787, 1703, 717, 107, 47, 552, 1481, 2570, 3512,
4038, 4002, 3412, 2436, 1350, 462, 22, 155, 824, 1839,
2913, 3742, 4092, 3863, 3120, 2074, 1021, 258, 1, 323,
1133, 2202, 3227, 3918, 4080, 3668, 2796, 1713, 725, 111,
44, 544, 1469, 2558, 3502, 4035, 4006, 3423, 2451, 1364,
472, 24, 149, 811, 1822, 2897, 3732, 4090, 3871, 3137,
2094, 1038, 268, 0, 312, 1114, 2180, 3209, 3909, 4083,
3682, 2818, 1737, 744, 119, 39, 527, 1445, 2533, 3483,
4029, 4014, 3443, 2478, 1392, 490, 29, 138, 787, 1792,
2869, 3714, 4088, 3886, 3164, 2127, 1067, 285, 0, 294,
1083, 2145, 3179, 3893, 4087, 3704, 2853, 1775, 774, 132,
32, 501, 1407, 2493, 3454, 4018, 4025, 3474, 2520, 1432,
519, 37, 123, 752, 1747, 2827, 3687, 4084, 3906, 3203,
2174, 1109, 309, 0, 269, 1040, 2095, 3137, 3871, 4091,
3733, 2900, 1826, 815, 151, 23, 466, 1356, 2440, 3414,
4002, 4039, 3513, 2574, 1486, 557, 48, 104, 708, 1690,
2772, 3651, 4077, 3930, 3252, 2235, 1164, 343, 3, 239,
986, 2032, 3083, 3841, 4094, 3769, 2959, 1892, 868, 178,
14, 424, 1292, 2373, 3362, 3981, 4054, 3561, 2641, 1554,
607, 65, 82, 654, 1618, 2704, 3604, 4066, 3958, 3312,
2309, 1233, 386, 8, 205, 921, 1955, 3015, 3802, 4095,
3811, 3029, 1971, 934, 212, 6, 376, 1217, 2292, 3298,
3952, 4069, 3616, 2721, 1637, 668, 88, 60, 592, 1535,
2621, 3546, 4049, 3988, 3380, 2397, 1315, 440, 17, 167,
846, 1864, 2933, 3753, 4093, 3856, 3110, 2064, 1014, 255,
1, 323, 1131, 2197, 3221, 3914, 4082, 3677, 2813, 1733,
742, 119, 39, 524, 1438, 2524, 3476, 4025, 4018, 3456,
2497, 1412, 506, 34, 128, 763, 1760, 2837, 3693, 4085,
3903, 3200, 2172, 1109, 310, 0, 267, 1035, 2087, 3129,
3866, 4091, 3742, 2915, 1844, 831, 160, 20, 450, 1330,
2412, 3391, 3992, 4046, 3538, 2610, 1524, 585, 58, 90,
673, 1643, 2726, 3619, 4069, 3951, 3297, 2292, 1218, 378,
7, 210, 930, 1964, 3022, 3806, 4095, 3809, 3027, 1970,
935, 212, 6, 374, 1212, 2285, 3292, 3948, 4070, 3624,
2734, 1651, 680, 93, 56, 578, 1514, 2599, 3530, 4044,
3996, 3401, 2426, 1344, 460, 22, 154, 817, 1827, 2898,
3731, 4090, 3875, 3147, 2110, 1055, 279, 0, 296, 1085,
2144, 3175, 3890, 4088, 3711, 2868, 1794, 791, 141, 27,
480, 1374, 2457, 3424, 4005, 4037, 3509, 2571, 1486, 558,
49, 102, 700, 1677, 2758, 3640, 4074, 3939, 3273, 2263,
1192, 362, 5, 221, 950, 1988, 3042, 3817, 4095, 3798,
3010, 1952, 920, 205, 7, 382, 1225, 2298, 3301, 3952,
4069, 3618, 2726, 1644, 675, 92, 57, 581, 1516, 2601,
3530, 4043, 3997, 3403, 2429, 1348, 463, 23, 151, 811,
1818, 2890, 3725, 4089, 3881, 3158, 2124, 1068, 287, 0,
287, 1068, 2124, 3158, 3881, 4089, 3725, 2890, 1819, 812,
151, 23, 462, 1346, 2426, 3401, 3996, 4044, 3533, 2605,
1521, 584, 58, 90, 670, 1637, 2719, 3612, 4067, 3956,
3309, 2309, 1236, 390, 9, 199, 907, 1935, 2995, 3789,
4095, 3827, 3060, 2010, 970, 232, 3, 347, 1168, 2235,
3249, 3927, 4078, 3660, 2790, 1712, 728, 114, 41, 531,
1445, 2529, 3477, 4025, 4019, 3460, 2506, 1423, 515, 37,
121, 745, 1734, 2811, 3674, 4081, 3919, 3232, 2214, 1149,
336, 2, 241, 986, 2028, 3076, 3835, 4094, 3780, 2981,
1920, 895, 193, 10, 397, 1247, 2321, 3318, 3959, 4066,
3607, 2712, 1630, 666, 88, 59, 586, 1523, 2606, 3533,
4044, 3996, 3403, 2431, 1351, 466, 24, 148, 804, 1808,
2879, 3717, 4088, 3888, 3173, 2143, 1087, 299, 0, 274,
1045, 2096, 3133, 3867, 4091, 3744, 2923, 1856, 843, 167,
17, 435, 1304, 2381, 3365, 3980, 4055, 3568, 2656, 1574,
624, 73, 73, 626, 1576, 2659, 3570, 4055, 3979, 3363,
2379, 1302, 434, 17, 167, 843, 1856, 2923, 3744, 4091,
3867, 3134, 2098, 1047, 276, 0, 297, 1083, 2138, 3169,
3885, 4089, 3721, 2886, 1817, 812, 152, 22, 458, 1338,
2417, 3392, 3991, 4048, 3545, 2624, 1542, 601, 64, 82,
648, 1606, 2687, 3589, 4061, 3970, 3342, 2352, 1278, 418,
14, 177, 863, 1880, 2944, 3757, 4093, 3857, 3116, 2077,
1029, 266, 0, 306, 1099, 2156, 3183, 3893, 4087, 3712,
2873, 1802, 801, 147, 24, 466, 1349, 2428, 3400, 3995,
4046, 3539, 2616, 1534, 596, 63, 84, 653, 1611, 2691,
3592, 4061, 3969, 3340, 2350, 1276, 417, 14, 177, 863,
1879, 2942, 3756, 4093, 3859, 3119, 2081, 1033, 269, 0,
303, 1092, 2148, 3176, 3889, 4088, 3718, 2882, 1813, 810,
151, 22, 458, 1337, 2414, 3389, 3990, 4049, 3550, 2631,
1550, 608, 67, 78, 639, 1592, 2672, 3578, 4057, 3976,
3357, 2373, 1298, 432, 17, 167, 842, 1853, 2918, 3741,
4091, 3872, 3144, 2110, 1059, 284, 0, 287, 1064, 2116,
3148, 3874, 4091, 3738, 2914, 1848, 839, 166, 17, 434,
1301, 2376, 3359, 3977, 4057, 3577, 2671, 1591, 639, 78,
67, 607, 1549, 2629, 3548, 4048, 3991, 3393, 2420, 1343,
463, 23, 148, 802, 1802, 2871, 3711, 4087, 3895, 3189,
2165, 1108, 313, 1, 259, 1015, 2059, 3099, 3847, 4094,
3771, 2968, 1909, 888, 191, 10, 397, 1243, 2313, 3309,
3954, 4069, 3620, 2734, 1657, 688, 98, 51, 559, 1481,
2561, 3499, 4032, 4013, 3447, 2491, 1413, 510, 36, 121,
743, 1727, 2801, 3665, 4079, 3927, 3253, 2244, 1179, 357,
4, 221, 945, 1976, 3027, 3806, 4095, 3815, 3043, 1994,
960, 229, 3, 346, 1162, 2225, 3238, 3920, 4081, 3677,
2820, 1748, 759, 129, 32, 496, 1391, 2469, 3429, 4006,
4038, 3516, 2586, 1507, 577, 57, 90, 667, 1628, 2705,
3600, 4063, 3966, 3335, 2347, 1275, 418, 14, 175, 856,
1869, 2931, 3748, 4092, 3868, 3138, 2105, 1056, 283, 0,
286, 1062, 2111, 3143, 3870, 4091, 3744, 2926, 1864, 852,
173, 15, 421, 1279, 2350, 3338, 3967, 4063, 3599, 2704,
1627, 666, 90, 57, 577, 1505, 2584, 3514, 4037, 4007,
3433, 2474, 1397, 500, 33, 126, 752, 1737, 2809, 3670,
4079, 3925, 3250, 2240, 1177, 356, 4, 220, 943, 1972,
3023, 3802, 4095, 3819, 3052, 2006, 971, 235, 2, 337,
1147, 2206, 3222, 3911, 4083, 3691, 2842, 1773, 780, 139,
27, 476, 1361, 2437, 3404, 3995, 4046, 3542, 2624, 1545,
606, 67, 77, 634, 1583, 2660, 3568, 4054, 3983, 3375,
2400, 1326, 452, 21, 152, 809, 1809, 2875, 3712, 4087,
3897, 3193, 2173, 1117, 319, 1, 250, 998, 2036, 3078,
3834, 4094, 3788, 2998, 1946, 921, 209, 6, 369, 1198,
2262, 3267, 3933, 4077, 3658, 2793, 1721, 740, 121, 36,
508, 1407, 2484, 3439, 4009, 4035, 3511, 2581, 1503, 576,
57, 89, 664, 1623, 2699, 3594, 4061, 3970, 3347, 2363,
1292, 431, 17, 165, 835, 1841, 2904, 3730, 4089, 3883,
3169, 2144, 1092, 305, 0, 263, 1019, 2061, 3098, 3845,
4094, 3776, 2980, 1925, 904, 200, 8, 380, 1214, 2279,
3279, 3939, 4075, 3650, 2781, 1709, 731, 117, 38, 515,
1416, 2492, 3445, 4011, 4034, 3507, 2576, 1499, 573, 56,
90, 666, 1624, 2699, 3594, 4061, 3971, 3348, 2366, 1296,
433, 17, 163, 831, 1835, 2897, 3725, 4089, 3888, 3177,
2155, 1102, 311, 1, 256, 1007, 2046, 3085, 3837, 4094,
3785, 2996, 1944, 921, 209, 6, 367, 1194, 2256, 3260,
3930, 4078, 3666, 2805, 1736, 752, 127, 32, 495, 1387,
2462, 3422, 4002, 4041, 3530, 2609, 1532, 598, 65, 80,
638, 1586, 2662, 3568, 4053, 3985, 3380, 2408, 1336, 460,
24, 146, 794, 1789, 2855, 3697, 4084, 3909, 3218, 2205,
1148, 339, 3, 231, 962, 1992, 3037, 3810, 4095, 3815,
3046, 2002, 970, 236, 2, 333, 1138, 2194, 3209, 3904,
4086, 3704, 2866, 1801, 804, 151, 22, 451, 1322, 2393,
3368, 3979, 4057, 3579, 2679, 1604, 652, 85, 60, 583,
1511, 2587, 3514, 4036, 4009, 3441, 2488, 1413, 514, 38,
117, 728, 1704, 2775, 3645, 4074, 3944, 3290, 2294, 1230,
391, 10, 191, 884, 1898, 2954, 3759, 4093, 3861, 3130,
2100, 1055, 284, 0, 281, 1049, 2092, 3124, 3858, 4093,
3764, 2961, 1906, 891, 194, 9, 386, 1221, 2284, 3282,
3940, 4075, 3651, 2785, 1716, 738, 121, 35, 505, 1399,
2473, 3429, 4004, 4040, 3526, 2605, 1530, 598, 65, 79,
636, 1581, 2656, 3562, 4051, 3988, 3390, 2421, 1350, 471,
26, 139, 777, 1766, 2832, 3682, 4081, 3920, 3243, 2236,
1178, 359, 5, 214, 929, 1951, 3001, 3787, 4094, 3838,
3088, 2051, 1014, 261, 0, 304, 1088, 2136, 3160, 3877,
4091, 3741, 2925, 1868, 860, 179, 12, 407, 1253, 2318,
3309, 3952, 4071, 3632, 2757, 1687, 716, 112, 40, 522,
1423, 2496, 3446, 4011, 4035, 3512, 2586, 1511, 585, 61,
84, 647, 1596, 2670, 3572, 4054, 3984, 3381, 2411, 1341,
465, 25, 142, 783, 1772, 2837, 3685, 4082, 3919, 3242,
2235, 1177, 359, 5, 213, 926, 1947, 2996, 3784, 4094,
3841, 3095, 2060, 1022, 266, 0, 298, 1076, 2122, 3148,
3870, 4092, 3751, 2941, 1886, 875, 187, 10, 394, 1232,
2295, 3290, 3942, 4074, 3649, 2783, 1715, 738, 122, 35,
501, 1393, 2464, 3421, 4001, 4043, 3537, 2621, 1548, 612,
70, 73, 618, 1556, 2629, 3542, 4045, 3998, 3415, 2457,
1385, 496, 33, 124, 743, 1721, 2788, 3652, 4075, 3941,
3286, 2291, 1229, 392, 10, 188, 876, 1887, 2941, 3750,
4092, 3871, 3150, 2126, 1080, 300, 0, 263, 1016, 2052,
3087, 3836, 4094, 3790, 3008, 1961, 939, 220, 4, 349,
1160, 2215, 3224, 3910, 4084, 3699, 2861, 1799, 805, 153,
20, 445, 1309, 2376, 3353, 3971, 4062, 3599, 2711, 1640,
681, 98, 49, 549, 1461, 2533, 3472, 4020, 4027, 3490,
2558, 1485, 567, 55, 90, 662, 1614, 2686, 3582, 4057,
3980, 3374, 2403, 1335, 462, 25, 142, 782, 1769, 2833,
3681, 4081, 3923, 3251, 2248, 1191, 368, 6, 204, 908,
1924, 2974, 3770, 4093, 3856, 3122, 2094, 1053, 285, 0,
277, 1039, 2078, 3108, 3848, 4094, 3779, 2989, 1941, 922,
212, 5, 358, 1175, 2230, 3236, 3915, 4083, 3693, 2852,
1790, 799, 150, 21, 448, 1313, 2380, 3355, 3972, 4061,
3599, 2711, 1642, 684, 99, 48, 546, 1454, 2526, 3466,
4018, 4029, 3498, 2569, 1498, 577, 59, 85, 650, 1597,
2668, 3568, 4053, 3987, 3391, 2426, 1358, 479, 29, 132,
760, 1740, 2805, 3662, 4077, 3936, 3278, 2283, 1223, 390,
10, 188, 875, 1884, 2937, 3747, 4091, 3876, 3160, 2140,
1094, 310, 1, 252, 995, 2026, 3063, 3822, 4095, 3808,
3038, 1998, 971, 239, 2, 324, 1119, 2167, 3183, 3888,
4089, 3732, 2913, 1858, 855, 178, 12, 404, 1245, 2306,
3296, 3945, 4074, 3649, 2786, 1721, 745, 126, 32, 490,
1374, 2442, 3402, 3992, 4050, 3560, 2656, 1586, 642, 83,
61, 582, 1504, 2575, 3501, 4030, 4017, 3465, 2526, 1455,
547, 49, 97, 679, 1635, 2704, 3593, 4059, 3976, 3365,
2394, 1329, 459, 24, 142, 781, 1766, 2828, 3677, 4080,
3928, 3261, 2264, 1207, 379, 8, 194, 887, 1897, 2948,
3753, 4092, 3872, 3154, 2133, 1089, 307, 1, 253, 996,
2026, 3062, 3821, 4095, 3810, 3043, 2004, 978, 243, 1,
319, 1108, 2154, 3171, 3881, 4090, 3741, 2930, 1877, 871,
186, 10, 390, 1223, 2281, 3275, 3934, 4078, 3667, 2815,
1752, 771, 138, 26, 466, 1339, 2404, 3372, 3979, 4058,
3588, 2698, 1630, 676, 97, 49, 548, 1456, 2525, 3464,
4016, 4031, 3505, 2581, 1511, 588, 63, 80, 633, 1573,
2642, 3549, 4046, 3998, 3417, 2463, 1395, 506, 37, 116,
723, 1691, 2756, 3628, 4069, 3958, 3326, 2346, 1284, 430,
18, 159, 815, 1808, 2866, 3700, 4084, 3912, 3232, 2229,
1176, 361, 6, 207, 911, 1924, 2971, 3766, 4093, 3861,
3136, 2113, 1072, 298, 0, 261, 1009, 2040, 3073, 3826,
4095, 3805, 3037, 1998, 974, 241, 1, 319, 1108, 2153,
3169, 3880, 4091, 3745, 2936, 1886, 879, 191, 9, 382,
1209, 2265, 3261, 3927, 4080, 3680, 2835, 1775, 790, 147,
22, 449, 1311, 2374, 3348, 3968, 4064, 3611, 2733, 1667,
705, 109, 41, 519, 1414, 2481, 3430, 4003, 4043, 3539,
2630, 1562, 626, 77, 65, 593, 1517, 2585, 3507, 4032,
4016, 3464, 2527, 1459, 551, 51, 94, 669, 1619, 2686,
3579, 4055, 3985, 3387, 2425, 1360, 482, 30, 128, 748,
1721, 2784, 3646, 4073, 3949, 3307, 2323, 1264, 418, 15,
166, 829, 1823, 2878, 3708, 4085, 3908, 3225, 2222, 1171,
358, 5, 208, 911, 1923, 2969, 3764, 4093, 3865, 3142,
2122, 1082, 304, 1, 254, 995, 2022, 3056, 3816, 4095,
3817, 3058, 2024, 996, 255, 1, 303, 1080, 2120, 3140,
3863, 4093, 3766, 2973, 1927, 915, 210, 5, 355, 1165,
2215, 3220, 3905, 4086, 3713, 2887, 1833, 837, 170, 14,
410, 1251, 2309, 3295, 3943, 4075, 3656, 2801, 1740, 763,
135, 27, 468, 1338, 2400, 3367, 3976, 4060, 3598, 2714,
1650, 693, 104, 44, 527, 1424, 2490, 3436, 4004, 4042,
3537, 2628, 1562, 627, 78, 64, 589, 1509, 2576, 3500,
4029, 4020, 3475, 2543, 1476, 565, 56, 88, 652, 1595,
2661, 3560, 4049, 3994, 3411, 2458, 1393, 506, 37, 114,
716, 1679, 2742, 3617, 4065, 3966, 3346, 2374, 1313, 451,
23, 144, 781, 1763, 2821, 3669, 4078, 3935, 3281, 2291,
1236, 401, 12, 176, 848, 1845, 2897, 3719, 4087, 3902,
3214, 2209, 1161, 353, 5, 211, 915, 1926, 2970, 3764,
4092, 3866, 3147, 2129, 1089, 309, 1, 247, 982, 2005,
3040, 3806, 4095, 3829, 3079, 2050, 1021, 269, 0, 286,
1049, 2083, 3108, 3845, 4094, 3789, 3012, 1973, 955, 232,
2, 326, 1117, 2160, 3172, 3880, 4091, 3748, 2944, 1898,
892, 199, 7, 368, 1184, 2234, 3234, 3912, 4085, 3706,
2877, 1824, 831, 168, 14, 411, 1251, 2307, 3293, 3941,
4076, 3662, 2810, 1752, 774, 141, 24, 455, 1318, 2378,
3349, 3967, 4065, 3617, 2744, 1682, 720, 116, 36, 500,
1384, 2447, 3402, 3990, 4052, 3572, 2679, 1615, 668, 95,
50, 546, 1449, 2513, 3452, 4010, 4037, 3526, 2614, 1549,
619, 75, 66, 592, 1513, 2578, 3500, 4028, 4021, 3479,
2551, 1486, 573, 59, 83, 639, 1576, 2640, 3545, 4044,
4003, 3433, 2488, 1424, 529, 45, 102, 686, 1638, 2701,
3587, 4057, 3983, 3386, 2427, 1365, 488, 33, 122, 733,
1699, 2759, 3627, 4068, 3962, 3339, 2366, 1308, 449, 23,
144, 780, 1758, 2815, 3664, 4077, 3940, 3292, 2308, 1253,
413, 15, 166, 826, 1816, 2869, 3699, 4083, 3917, 3246,
2250, 1200, 379, 9, 190, 873, 1873, 2921, 3732, 4089,
3893, 3199, 2194, 1149, 347, 4, 214, 918, 1928, 2970,
3763, 4092, 3869, 3154, 2140, 1101, 317, 2, 238, 964,
1982, 3018, 3792, 4094, 3844, 3109, 2087, 1054, 290, 0,
263, 1008, 2034, 3063, 3818, 4095, 3819, 3065, 2036, 1010,
264, 0, 289, 1052, 2084, 3107, 3843, 4094, 3793, 3021,
1986, 967, 241, 1, 314, 1095, 2133, 3148, 3866, 4093,
3768, 2978, 1938, 927, 219, 4, 340, 1137, 2180, 3187,
3887, 4090, 3742, 2937, 1892, 889, 198, 7, 366, 1179,
2226, 3225, 3906, 4086, 3716, 2896, 1847, 852, 180, 11,
392, 1219, 2270, 3260, 3924, 4082, 3691, 2857, 1804, 818,
162, 16, 417, 1258, 2312, 3294, 3941, 4077, 3665, 2818,
1763, 785, 147, 21, 442, 1296, 2352, 3326, 3956, 4071,
3641, 2781, 1724, 754, 132, 27, 467, 1332, 2390, 3356,
3969, 4064, 3616, 2745, 1686, 724, 119, 34, 491, 1367,
2427, 3385, 3982, 4058, 3592, 2710, 1650, 697, 107, 41,
515, 1401, 2462, 3411, 3993, 4051, 3569, 2677, 1616, 671,
97, 48, 538, 1434, 2496, 3437, 4003, 4044, 3546, 2645,
1583, 646, 87, 55, 560, 1465, 2527, 3460, 4013, 4036,
3524, 2615, 1552, 624, 78, 63, 582, 1495, 2557, 3482,
4021, 4029, 3503, 2586, 1523, 602, 70, 70, 602, 1523,
2586, 3503, 4029, 4021, 3483, 2558, 1496, 582, 63, 78,
622, 1550, 2612, 3522, 4035, 4014, 3463, 2532, 1470, 564,
57, 85, 641, 1576, 2637, 3540, 4041, 4006, 3445, 2507,
1446, 547, 51, 92, 659, 1600, 2660, 3556, 4047, 3999,
3427, 2484, 1424, 531, 46, 99, 676, 1622, 2682, 3572,
4051, 3992, 3411, 2462, 1403, 516, 41, 106, 692, 1643,
2702, 3586, 4056, 3986, 3395, 2442, 1383, 503, 38, 112,
707, 1662, 2721, 3598, 4059, 3980, 3381, 2424, 1366, 491,
34, 118, 721, 1680, 2737, 3610, 4062, 3974, 3368, 2407,
1350, 480, 31, 124, 733, 1696, 2753, 3620, 4065, 3968,
3356, 2392, 1335, 470, 29, 129, 745, 1710, 2766, 3629,
4068, 3963, 3345, 2378, 1322, 461, 26, 134, 755, 1723,
2778, 3637, 4070, 3959, 3335, 2366, 1311, 454, 24, 138,
764, 1735, 2789, 3644, 4071, 3955, 3327, 2355, 1301, 447,
23, 142, 772, 1744, 2798, 3650, 4073, 3952, 3320, 2346,
1293, 442, 22, 145, 778, 1752, 2806, 3655, 4074, 3949,
3314, 2339, 1286, 438, 21, 147, 784, 1759, 2812, 3659,
4075, 3947, 3309, 2333, 1281, 434, 20, 149, 788, 1764,
2816, 3662, 4075, 3945, 3306, 2329, 1277, 432, 19, 151,
790, 1767, 2819, 3664, 4076, 3944, 3304, 2327, 1275, 430,
19, 151, 792, 1769, 2820, 3665, 4076, 3943, 3303, 2326,
1274, 430, 19, 152, 792, 1769, 2820, 3665, 4076, 3944,
3303, 2327, 1275, 431, 19, 151, 791, 1767, 2819, 3664,
4076, 3944, 3305, 2329, 1278, 432, 20, 150, 788, 1764,
2816, 3661, 4075, 3946, 3308, 2333, 1281, 435, 20, 148,
785, 1759, 2811, 3658, 4074, 3948, 3313, 2339, 1287, 439,
21, 146, 780, 1753, 2805, 3654, 4073, 3950, 3318, 2346,
1294, 443, 22, 143, 773, 1745, 2797, 3649, 4072, 3954,
3325, 2355, 1302, 449, 24, 140, 766, 1735, 2788, 3643,
4071, 3957, 3333, 2365, 1312, 456, 25, 136, 757, 1724,
2777, 3635, 4069, 3962, 3343, 2377, 1324, 464, 27, 131,
747, 1711, 2765, 3627, 4067, 3966, 3353, 2391, 1337, 473,
30, 126, 736, 1697, 2751, 3617, 4064, 3972, 3365, 2406,
1351, 483, 32, 121, 724, 1681, 2736, 3607, 4061, 3977,
3378, 2423, 1368, 494, 36, 115, 710, 1663, 2719, 3595,
4058, 3983, 3392, 2441, 1385, 506, 39, 108, 696, 1644,
2700, 3582, 4054, 3990, 3407, 2461, 1405, 520, 43, 102,
680, 1623, 2680, 3568, 4049, 3997, 3423, 2483, 1426, 535,
48, 95, 663, 1601, 2658, 3552, 4044, 4004, 3441, 2506,
1448, 551, 53, 88, 645, 1577, 2635, 3535, 4039, 4011,
3459, 2530, 1473, 569, 59, 81, 627, 1552, 2610, 3517,
4033, 4018, 3478, 2556, 1499, 587, 66, 73, 607, 1525,
2583, 3498, 4025, 4026, 3498, 2584, 1526, 608, 73, 66,
586, 1497, 2554, 3477, 4018, 4033, 3519, 2613, 1555, 630,
82, 58, 565, 1467, 2524, 3454, 4009, 4041, 3541, 2643,
1586, 653, 91, 51, 543, 1436, 2492, 3430, 3999, 4048,
3563, 2675, 1619, 678, 101, 44, 520, 1404, 2459, 3404,
3988, 4055, 3587, 2708, 1654, 704, 112, 37, 496, 1370,
2424, 3377, 3976, 4062, 3611, 2743, 1690, 732, 125, 30,
472, 1334, 2387, 3348, 3963, 4068, 3635, 2779, 1728, 762,
139, 24, 448, 1298, 2348, 3318, 3949, 4074, 3660, 2816,
1767, 793, 153, 18, 423, 1260, 2307, 3285, 3934, 4080,
3685, 2854, 1809, 827, 170, 13, 397, 1221, 2265, 3251,
3917, 4085, 3710, 2894, 1852, 862, 188, 8, 372, 1181,
2221, 3215, 3898, 4089, 3736, 2934, 1896, 899, 207, 5,
346, 1140, 2176, 3177, 3878, 4092, 3762, 2976, 1943, 938,
228, 2, 320, 1098, 2128, 3137, 3856, 4094, 3787, 3018,
1991, 979, 251, 0, 295, 1055, 2079, 3095, 3832, 4095,
3813, 3062, 2041, 1022, 275, 0, 269, 1011, 2029, 3051,
3807, 4095, 3838, 3106, 2092, 1066, 302, 1, 244, 967,
1977, 3005, 3779, 4093, 3863, 3151, 2145, 1113, 330, 3,
219, 921, 1923, 2957, 3750, 4090, 3888, 3196, 2200, 1163,
361, 7, 195, 876, 1867, 2907, 3718, 4086, 3912, 3243,
2256, 1214, 393, 12, 172, 829, 1811, 2855, 3684, 4080,
3935, 3289, 2313, 1267, 428, 19, 149, 783, 1752, 2800,
3648, 4071, 3957, 3336, 2372, 1323, 466, 28, 127, 736,
1693, 2744, 3610, 4061, 3978, 3383, 2433, 1380, 505, 40,
107, 689, 1632, 2685, 3569, 4049, 3998, 3430, 2494, 1440,
548, 53, 87, 642, 1570, 2624, 3525, 4035, 4017, 3476,
2557, 1502, 592, 69, 70, 595, 1506, 2561, 3479, 4018,
4034, 3523, 2621, 1566, 640, 87, 53, 549, 1442, 2496,
3430, 3998, 4049, 3569, 2685, 1633, 690, 107, 39, 503,
1377, 2428, 3379, 3976, 4062, 3614, 2751, 1701, 743, 131,
27, 458, 1311, 2359, 3325, 3952, 4074, 3659, 2817, 1771,
799, 157, 16, 414, 1245, 2288, 3267, 3924, 4083, 3703,
2884, 1844, 857, 186, 8, 371, 1178, 2215, 3207, 3893,
4090, 3745, 2951, 1918, 919, 219, 3, 329, 1110, 2140,
3145, 3859, 4094, 3786, 3019, 1994, 983, 254, 0, 289,
1043, 2063, 3079, 3822, 4095, 3826, 3086, 2071, 1050, 293,
0, 250, 975, 1984, 3010, 3781, 4093, 3864, 3154, 2150,
1120, 335, 4, 213, 908, 1904, 2939, 3737, 4088, 3900,
3221, 2231, 1193, 381, 10, 178, 841, 1823, 2864, 3690,
4080, 3933, 3287, 2313, 1269, 431, 20, 146, 775, 1740,
2787, 3638, 4069, 3964, 3353, 2396, 1348, 484, 34, 116,
709, 1657, 2707, 3583, 4053, 3993, 3418, 2481, 1429, 541,
51, 89, 645, 1572, 2624, 3524, 4034, 4018, 3481, 2566,
1513, 602, 72, 65, 582, 1487, 2539, 3462, 4010, 4040,
3544, 2651, 1600, 666, 98, 45, 521, 1401, 2451, 3395,
3983, 4059, 3604, 2737, 1689, 735, 128, 28, 462, 1314,
2361, 3325, 3951, 4074, 3662, 2824, 1780, 807, 162, 15,
404, 1228, 2269, 3250, 3914, 4085, 3718, 2910, 1874, 883,
201, 6, 350, 1142, 2174, 3172, 3873, 4092, 3772, 2995,
1969, 963, 244, 1, 298, 1057, 2078, 3090, 3828, 4095,
3822, 3080, 2066, 1047, 292, 0, 249, 972, 1979, 3004,
3777, 4093, 3869, 3165, 2165, 1135, 345, 5, 204, 889,
1880, 2915, 3721, 4086, 3913, 3247, 2266, 1226, 403, 15,
162, 807, 1779, 2822, 3661, 4074, 3952, 3329, 2367, 1321,
467, 29, 124, 726, 1677, 2725, 3595, 4056, 3988, 3408,
2469, 1419, 535, 49, 91, 648, 1575, 2626, 3524, 4033,
4019, 3485, 2572, 1520, 608, 75, 62, 573, 1472, 2523,
3448, 4005, 4045, 3559, 2674, 1625, 686, 107, 39, 500,
1369, 2417, 3368, 3970, 4066, 3630, 2777, 1732, 770, 144,
20, 431, 1267, 2309, 3282, 3930, 4082, 3698, 2879, 1841,
858, 188, 8, 365, 1165, 2198, 3191, 3883, 4091, 3761,
2980, 1953, 951, 238, 1, 303, 1065, 2085, 3095, 3830,
4095, 3821, 3080, 2067, 1049, 294, 1, 246, 966, 1970,
2995, 3771, 4092, 3876, 3178, 2182, 1151, 356, 7, 194,
869, 1855, 2891, 3705, 4083, 3925, 3273, 2299, 1258, 425,
19, 147, 775, 1738, 2782, 3633, 4067, 3969, 3366, 2416,
1369, 501, 39, 106, 684, 1620, 2669, 3554, 4043, 4007,
3456, 2534, 1484, 582, 66, 71, 596, 1502, 2552, 3470,
4013, 4039, 3542, 2651, 1602, 670, 100, 43, 512, 1385,
2432, 3379, 3975, 4064, 3623, 2768, 1724, 764, 142, 21,
433, 1269, 2309, 3281, 3929, 4082, 3700, 2884, 1848, 864,
192, 7, 358, 1154, 2184, 3178, 3876, 4092, 3772, 2998,
1975, 970, 249, 0, 290, 1041, 2056, 3070, 3814, 4095,
3838, 3110, 2103, 1082, 314, 2, 227, 930, 1927, 2955,
3745, 4089, 3897, 3219, 2233, 1199, 387, 12, 171, 823,
1796, 2836, 3668, 4075, 3950, 3324, 2364, 1321, 468, 30,
122, 719, 1665, 2712, 3584, 4053, 3995, 3426, 2495, 1447,
556, 57, 80, 620, 1534, 2583, 3492, 4021, 4032, 3523,
2626, 1577, 652, 93, 47, 526, 1404, 2451, 3392, 3980,
4061, 3614, 2756, 1712, 756, 139, 22, 437, 1275, 2315,
3285, 3930, 4082, 3699, 2884, 1849, 866, 193, 7, 355,
1148, 2176, 3171, 3871, 4093, 3778, 3010, 1989, 983, 257,
0, 280, 1024, 2036, 3051, 3803, 4094, 3850, 3132, 2130,
1107, 330, 3, 213, 903, 1893, 2924, 3725, 4086, 3913,
3251, 2273, 1237, 412, 17, 153, 786, 1750, 2791, 3638,
4068, 3968, 3365, 2417, 1372, 504, 41, 103, 675, 1606,
2654, 3542, 4039, 4014, 3474, 2560, 1512, 604, 75, 62,
569, 1464, 2511, 3437, 3999, 4050, 3576, 2702, 1657, 714,
120, 31, 470, 1322, 2365, 3324, 3949, 4076, 3672, 2842,
1805, 831, 176, 10, 378, 1184, 2215, 3202, 3887, 4091,
3759, 2980, 1956, 956, 242, 1, 295, 1048, 2062, 3073,
3815, 4095, 3839, 3113, 2109, 1089, 320, 2, 220, 916,
1908, 2937, 3733, 4087, 3908, 3242, 2264, 1229, 408, 16,
156, 790, 1754, 2794, 3639, 4068, 3968, 3366, 2419, 1375,
507, 41, 101, 670, 1599, 2645, 3535, 4036, 4017, 3483,
2573, 1526, 615, 79, 58, 557, 1445, 2491, 3421, 3992,
4055, 3592, 2726, 1682, 734, 129, 26, 451, 1294, 2333,
3298, 3936, 4080, 3693, 2876, 1842, 862, 192, 7, 355,
1145, 2172, 3165, 3867, 4093, 3785, 3022, 2005, 999, 267,
0, 268, 1001, 2008, 3024, 3786, 4093, 3866, 3164, 2170,
1144, 354, 7, 192, 862, 1842, 2876, 3693, 4080, 3937,
3300, 2336, 1296, 453, 27, 128, 730, 1677, 2720, 3588,
4053, 3995, 3428, 2501, 1455, 564, 61, 76, 606, 1512,
2558, 3471, 4012, 4040, 3548, 2665, 1620, 686, 109, 37,
490, 1349, 2391, 3343, 3957, 4073, 3660, 2826, 1789, 819,
170, 11, 384, 1190, 2220, 3205, 3888, 4091, 3760, 2983,
1961, 962, 246, 0, 289, 1036, 2047, 3058, 3805, 4095,
3850, 3135, 2136, 1114, 336, 4, 205, 887, 1871, 2901,
3709, 4083, 3926, 3280, 2312, 1275, 439, 23, 135, 746,
1695, 2737, 3599, 4056, 3990, 3417, 2487, 1443, 556, 58,
79, 613, 1521, 2566, 3476, 4014, 4039, 3545, 2661, 1616,
685, 108, 37, 490, 1349, 2390, 3342, 3956, 4073, 3663,
2831, 1795, 825, 174, 10, 378, 1180, 2209, 3195, 3883,
4092, 3768, 2997, 1978, 977, 255, 0, 279, 1018, 2025,
3038, 3794, 4094, 3861, 3156, 2162, 1139, 352, 6, 193,
862, 1840, 2872, 3689, 4079, 3940, 3308, 2348, 1309, 463,
30, 121, 715, 1655, 2697, 3571, 4047, 4004, 3450, 2532,
1488, 589, 70, 66, 577, 1472, 2516, 3438, 3998, 4051,
3582, 2714, 1672, 728, 128, 26, 451, 1292, 2329, 3292,
3932, 4082, 3702, 2892, 1862, 880, 202, 5, 338, 1117,
2137, 3134, 3849, 4095, 3808, 3063, 2054, 1044, 294, 1,
240, 949, 1943, 2965, 3749, 4089, 3899, 3227, 2249, 1218,
403, 15, 156, 789, 1749, 2787, 3632, 4065, 3974, 3382,
2443, 1401, 527, 49, 90, 640, 1556, 2600, 3500, 4023,
4032, 3525, 2635, 1592, 667, 101, 41, 502, 1366, 2406,
3353, 3961, 4072, 3656, 2823, 1788, 821, 172, 11, 379,
1180, 2207, 3192, 3880, 4092, 3773, 3005, 1989, 988, 262,
0, 270, 1002, 2005, 3019, 3781, 4093, 3873, 3179, 2191,
1166, 370, 9, 178, 832, 1802, 2836, 3664, 4073, 3956,
3344, 2394, 1355, 496, 39, 104, 673, 1600, 2642, 3530,
4034, 4021, 3496, 2595, 1552, 638, 89, 49, 527, 1400,
2441, 3380, 3973, 4066, 3635, 2793, 1756, 796, 160, 14,
396, 1206, 2235, 3215, 3892, 4091, 3759, 2983, 1965, 968,
251, 0, 281, 1019, 2025, 3036, 3791, 4094, 3865, 3166,
2176, 1153, 362, 8, 183, 842, 1813, 2845, 3670, 4075,
3953, 3338, 2387, 1349, 492, 38, 105, 676, 1603, 2644,
3531, 4034, 4021, 3497, 2597, 1554, 640, 90, 48, 524,
1395, 2435, 3375, 3970, 4067, 3641, 2801, 1766, 804, 164,
13, 388, 1194, 2221, 3202, 3885, 4092, 3768, 2999, 1983,
984, 261, 0, 270, 1000, 2002, 3016, 3778, 4093, 3877,
3188, 2203, 1178, 378, 11, 171, 818, 1783, 2816, 3651,
4070, 3965, 3364, 2422, 1383, 516, 45, 94, 648, 1564,
2606, 3503, 4023, 4032, 3526, 2638, 1597, 672, 104, 39,
493, 1351, 2388, 3337, 3953, 4075, 3672, 2849, 1818, 847,
186, 7, 357, 1143, 2164, 3155, 3859, 4094, 3800, 3052,
2044, 1037, 292, 1, 239, 946, 1937, 2957, 3742, 4088,
3906, 3244, 2271, 1241, 420, 19, 144, 761, 1710, 2747,
3603, 4057, 3991, 3422, 2497, 1457, 569, 63, 71, 590,
1486, 2527, 3444, 4000, 4051, 3584, 2719, 1681, 738, 133,
23, 437, 1267, 2299, 3266, 3917, 4086, 3727, 2934, 1912,
925, 228, 1, 304, 1057, 2066, 3070, 3810, 4095, 3850,
3139, 2147, 1128, 347, 6, 192, 858, 1831, 2860, 3679,
4076, 3950, 3331, 2381, 1345, 490, 38, 105, 674, 1597,
2637, 3525, 4031, 4024, 3507, 2613, 1573, 655, 97, 43,
507, 1368, 2405, 3350, 3958, 4073, 3665, 2839, 1808, 840,
183, 8, 359, 1147, 2167, 3156, 3859, 4094, 3801, 3055,
2049, 1042, 295, 1, 235, 937, 1925, 2945, 3734, 4087,
3913, 3258, 2291, 1260, 433, 23, 135, 740, 1684, 2721,
3584, 4051, 4000, 3446, 2531, 1491, 595, 73, 61, 562,
1445, 2485, 3411, 3986, 4060, 3615, 2766, 1732, 778, 153,
16, 403, 1215, 2241, 3217, 3892, 4091, 3763, 2992, 1978,
982, 260, 0, 268, 994, 1993, 3005, 3770, 4092, 3886,
3206, 2227, 1202, 395, 14, 158, 788, 1743, 2777, 3623,
4062, 3982, 3403, 2475, 1437, 556, 59, 75, 600, 1497,
2537, 3450, 4002, 4050, 3582, 2718, 1682, 740, 135, 23,
432, 1258, 2287, 3255, 3911, 4087, 3738, 2953, 1935, 945,
240, 1, 288, 1029, 2033, 3040, 3791, 4093, 3869, 3175,
2190, 1169, 374, 10, 171, 815, 1777, 2808, 3643, 4067,
3972, 3380, 2446, 1408, 536, 53, 83, 619, 1523, 2562,
3469, 4009, 4045, 3566, 2696, 1659, 723, 127, 26, 445,
1277, 2307, 3270, 3919, 4086, 3728, 2938, 1918, 932, 233,
1, 296, 1041, 2046, 3051, 3797, 4094, 3864, 3166, 2181,
1161, 369, 10, 174, 821, 1783, 2813, 3646, 4068, 3970,
3377, 2443, 1406, 535, 52, 83, 619, 1523, 2561, 3468,
4009, 4045, 3568, 2700, 1664, 726, 129, 25, 441, 1270,
2299, 3264, 3915, 4087, 3733, 2947, 1929, 942, 239, 1,
289, 1029, 2032, 3038, 3789, 4093, 3871, 3180, 2198, 1177,
380, 12, 166, 805, 1762, 2793, 3633, 4064, 3978, 3395,
2466, 1430, 552, 58, 76, 600, 1497, 2534, 3447, 4000,
4051, 3588, 2729, 1694, 751, 140, 20, 420, 1239, 2265,
3235, 3900, 4090, 3754, 2980, 1967, 974, 257, 0, 269,
994, 1990, 3001, 3767, 4091, 3891, 3217, 2243, 1218, 407,
17, 148, 767, 1715, 2748, 3601, 4055, 3994, 3433, 2516,
1479, 588, 72, 62, 563, 1444, 2480, 3406, 3982, 4062,
3625, 2783, 1752, 797, 163, 12, 384, 1183, 2203, 3184,
3873, 4093, 3789, 3037, 2032, 1031, 290, 1, 236, 937,
1922, 2939, 3728, 4086, 3920, 3275, 2314, 1285, 452, 28,
122, 710, 1641, 2676, 3550, 4039, 4017, 3489, 2592, 1556,
645, 94, 44, 508, 1366, 2400, 3343, 3953, 4076, 3678,
2862, 1837, 866, 199, 5, 335, 1104, 2115, 3108, 3830,
4095, 3835, 3117, 2124, 1112, 340, 5, 194, 858, 1826,
2852, 3671, 4074, 3958, 3352, 2412, 1378, 516, 47, 90,
635, 1541, 2578, 3478, 4012, 4043, 3562, 2694, 1659, 725,
129, 25, 438, 1265, 2291, 3255, 3910, 4088, 3743, 2964,
1950, 961, 250, 0, 274, 1002, 1998, 3007, 3770, 4091,
3890, 3216, 2244, 1221, 410, 18, 146, 760, 1705, 2737,
3592, 4052, 3999, 3446, 2535, 1499, 604, 78, 56, 544,
1417, 2451, 3382, 3971, 4068, 3648, 2818, 1791, 830, 180,
8, 358, 1141, 2155, 3142, 3849, 4095, 3817, 3086, 2090,
1083, 322, 3, 207, 882, 1855, 2877, 3687, 4077, 3949,
3333, 2389, 1358, 503, 43, 96, 648, 1558, 2593, 3489,
4016, 4040, 3554, 2683, 1649, 718, 126, 26, 443, 1270,
2296, 3258, 3911, 4088, 3743, 2964, 1951, 963, 252, 0,
272, 997, 1991, 3000, 3765, 4091, 3895, 3226, 2257, 1234,
419, 20, 139, 747, 1686, 2718, 3579, 4048, 4006, 3463,
2559, 1524, 623, 86, 50, 524, 1388, 2420, 3357, 3960,
4073, 3670, 2852, 1828, 861, 196, 5, 335, 1103, 2112,
3104, 3827, 4095, 3840, 3127, 2139, 1127, 350, 7, 185,
838, 1801, 2826, 3652, 4069, 3970, 3379, 2449, 1416, 544,
57, 77, 601, 1494, 2528, 3440, 3996, 4055, 3601, 2751,
1721, 775, 153, 15, 396, 1198, 2217, 3193, 3876, 4093,
3788, 3038, 2036, 1037, 295, 1, 229, 921, 1900, 2917,
3712, 4082, 3933, 3303, 2353, 1324, 480, 36, 105, 670,
1586, 2619, 3507, 4023, 4034, 3539, 2663, 1631, 704, 120,
28, 451, 1281, 2306, 3266, 3914, 4087, 3740, 2961, 1949,
962, 252, 0, 270, 993, 1985, 2993, 3760, 4090, 3900,
3237, 2271, 1248, 429, 23, 132, 730, 1664, 2695, 3561,
4042, 4014, 3485, 2589, 1556, 648, 96, 42, 499, 1350,
2380, 3324, 3943, 4080, 3698, 2896, 1877, 902, 219, 2,
306, 1053, 2054, 3053, 3796, 4094, 3870, 3182, 2205, 1188,
390, 14, 156, 780, 1727, 2755, 3603, 4055, 3996, 3440,
2530, 1497, 604, 79, 55, 539, 1406, 2438, 3369, 3965,
4072, 3663, 2844, 1821, 857, 195, 5, 335, 1101, 2108,
3099, 3823, 4095, 3845, 3138, 2154, 1142, 361, 9, 176,
819, 1775, 2800, 3634, 4064, 3981, 3405, 2485, 1453, 572,
67, 66, 569, 1448, 2480, 3402, 3979, 4065, 3638, 2806,
1781, 824, 178, 8, 357, 1135, 2146, 3132, 3841, 4095,
3828, 3108, 2118, 1110, 341, 6, 190, 846, 1808, 2831,
3654, 4069, 3970, 3382, 2455, 1424, 551, 60, 73, 589,
1475, 2507, 3422, 3988, 4060, 3621, 2782, 1756, 804, 168,
10, 370, 1156, 2169, 3151, 3852, 4095, 3817, 3090, 2098,
1093, 330, 5, 198, 861, 1826, 2847, 3665, 4072, 3965,
3370, 2440, 1410, 542, 56, 77, 598, 1487, 2519, 3431,
3991, 4058, 3614, 2772, 1746, 797, 165, 11, 375, 1163,
2176, 3156, 3855, 4095, 3814, 3085, 2093, 1089, 328, 4,
199, 863, 1828, 2848, 3666, 4072, 3964, 3370, 2440, 1410,
542, 57, 76, 596, 1485, 2516, 3428, 3990, 4059, 3617,
2777, 1752, 802, 168, 11, 371, 1156, 2168, 3149, 3851,
4095, 3819, 3094, 2104, 1099, 335, 5, 194, 853, 1815,
2836, 3657, 4070, 3970, 3382, 2456, 1426, 554, 61, 72,
584, 1467, 2498, 3414, 3984, 4063, 3630, 2797, 1773, 819,
176, 8, 358, 1135, 2144, 3129, 3839, 4095, 3832, 3116,
2130, 1123, 350, 7, 182, 830, 1786, 2809, 3638, 4065,
3980, 3405, 2486, 1456, 576, 69, 63, 560, 1435, 2464,
3388, 3972, 4069, 3653, 2830, 1809, 849, 192, 5, 336,
1101, 2105, 3095, 3819, 4095, 3852, 3152, 2172, 1160, 374,
11, 165, 795, 1742, 2767, 3610, 4057, 3995, 3439, 2532,
1501, 609, 82, 52, 527, 1388, 2415, 3350, 3954, 4076,
3684, 2878, 1861, 892, 215, 2, 307, 1053, 2050, 3047,
3791, 4093, 3878, 3199, 2229, 1213, 408, 18, 142, 748,
1683, 2710, 3570, 4044, 4013, 3484, 2592, 1562, 655, 100,
38, 485, 1327, 2351, 3298, 3929, 4084, 3724, 2939, 1929,
949, 247, 0, 272, 992, 1980, 2985, 3752, 4089, 3909,
3258, 2301, 1280, 453, 29, 116, 691, 1609, 2638, 3518,
4025, 4033, 3538, 2667, 1638, 714, 126, 25, 434, 1252,
2271, 3233, 3896, 4091, 3770, 3013, 2012, 1020, 288, 1,
231, 920, 1894, 2907, 3703, 4080, 3944, 3328, 2389, 1363,
511, 47, 88, 625, 1521, 2550, 3453, 4000, 4053, 3600,
2755, 1731, 787, 161, 12, 377, 1165, 2175, 3153, 3852,
4095, 3821, 3098, 2111, 1107, 341, 6, 187, 837, 1793,
2814, 3641, 4065, 3980, 3407, 2490, 1462, 582, 71, 60,
551, 1419, 2446, 3373, 3965, 4072, 3669, 2856, 1839, 875,
207, 3, 316, 1066, 2063, 3057, 3796, 4093, 3874, 3194,
2225, 1211, 407, 18, 141, 745, 1678, 2704, 3564, 4042,
4016, 3493, 2606, 1578, 668, 106, 35, 471, 1305, 2326,
3277, 3918, 4087, 3741, 2969, 1963, 979, 265, 0, 252,
956, 1936, 2944, 3726, 4084, 3929, 3299, 2354, 1331, 489,
40, 97, 646, 1549, 2577, 3472, 4007, 4048, 3585, 2734,
1710, 771, 154, 14, 387, 1178, 2189, 3164, 3857, 4095,
3816, 3091, 2104, 1102, 338, 6, 188, 839, 1794, 2813,
3640, 4065, 3981, 3411, 2496, 1469, 588, 74, 58, 543,
1407, 2433, 3361, 3959, 4075, 3680, 2874, 1860, 893, 217,
2, 302, 1043, 2036, 3032, 3780, 4092, 3889, 3222, 2259,
1243, 430, 24, 128, 715, 1638, 2664, 3535, 4031, 4028,
3526, 2652, 1625, 705, 123, 26, 437, 1254, 2271, 3231,
3894, 4091, 3774, 3023, 2026, 1034, 297, 2, 221, 900,
1867, 2881, 3684, 4076, 3957, 3357, 2428, 1403, 541, 57,
74, 588, 1469, 2496, 3410, 3981, 4065, 3642, 2818, 1800,
844, 191, 5, 333, 1093, 2092, 3080, 3809, 4094, 3865,
3178, 2207, 1196, 399, 17, 145, 752, 1685, 2709, 3566,
4042, 4016, 3495, 2610, 1583, 674, 109, 33, 462, 1291,
2309, 3262, 3910, 4089, 3755, 2992, 1991, 1005, 281, 1,
235, 925, 1898, 2908, 3701, 4079, 3947, 3337, 2403, 1379,
524, 52, 81, 604, 1490, 2517, 3425, 3987, 4062, 3630,
2801, 1783, 831, 185, 6, 341, 1105, 2105, 3091, 3815,
4094, 3860, 3170, 2199, 1189, 395, 16, 147, 756, 1689,
2712, 3568, 4042, 4016, 3494, 2610, 1584, 675, 110, 32,
460, 1287, 2305, 3258, 3907, 4089, 3759, 2999, 2000, 1013,
286, 1, 230, 915, 1884, 2895, 3693, 4077, 3953, 3350,
2420, 1397, 537, 56, 75, 589, 1470, 2495, 3408, 3979,
4066, 3646, 2825, 1809, 853, 196, 4, 325, 1078, 2074,
3064, 3798, 4093, 3875, 3199, 2233, 1221, 417, 21, 134,
726, 1651, 2674, 3541, 4033, 4027, 3524, 2651, 1627, 708,
125, 24, 431, 1243, 2256, 3218, 3886, 4092, 3787, 3045,
2053, 1059, 314, 3, 205, 869, 1828, 2842, 3657, 4069,
3974, 3396, 2480, 1455, 579, 72, 59, 545, 1407, 2430,
3357, 3956, 4076, 3688, 2889, 1879, 911, 228, 1, 287,
1014, 2000, 2998, 3758, 4089, 3909, 3262, 2311, 1294, 466,
34, 106, 665, 1570, 2594, 3482, 4010, 4047, 3583, 2734,
1713, 776, 158, 13, 377, 1160, 2165, 3141, 3843, 4095,
3835, 3127, 2149, 1145, 368, 11, 164, 789, 1728, 2748,
3593, 4050, 4006, 3472, 2581, 1557, 655, 102, 36, 474,
1305, 2322, 3271, 3913, 4088, 3753, 2991, 1992, 1008, 284,
1, 230, 914, 1882, 2891, 3689, 4076, 3956, 3358, 2432,
1410, 547, 60, 70, 575, 1448, 2471, 3388, 3970, 4071,
3665, 2855, 1843, 882, 213, 2, 303, 1040, 2030, 3023,
3773, 4091, 3898, 3242, 2288, 1273, 452, 30, 113, 679,
1587, 2611, 3493, 4015, 4044, 3574, 2722, 1702, 768, 154,
13, 381, 1165, 2170, 3144, 3844, 4095, 3834, 3127, 2149,
1147, 369, 11, 162, 784, 1722, 2741, 3587, 4048, 4009,
3480, 2593, 1570, 666, 107, 33, 463, 1288, 2303, 3254,
3904, 4090, 3766, 3012, 2018, 1031, 298, 2, 217, 889,
1851, 2862, 3669, 4072, 3968, 3385, 2468, 1446, 574, 70,
60, 546, 1407, 2428, 3354, 3954, 4077, 3694, 2900, 1893,
924, 236, 0, 276, 993, 1974, 2973, 3741, 4086, 3923,
3291, 2349, 1332, 493, 42, 92, 630, 1522, 2545, 3443,
3994, 4058, 3621, 2791, 1776, 828, 185, 6, 337, 1094,
2090, 3075, 3803, 4094, 3874, 3198, 2235, 1226, 421, 22,
129, 714, 1631, 2653, 3523, 4026, 4035, 3548, 2687, 1667,
741, 142, 17, 399, 1192, 2199, 3167, 3856, 4095, 3822,
3108, 2129, 1129, 359, 10, 168, 796, 1735, 2752, 3594,
4050, 4007, 3475, 2588, 1566, 664, 107, 33, 462, 1286,
2300, 3251, 3902, 4090, 3770, 3021, 2028, 1041, 305, 2,
210, 875, 1833, 2844, 3656, 4068, 3976, 3404, 2494, 1472,
594, 78, 53, 524, 1375, 2394, 3326, 3940, 4082, 3718,
2937, 1935, 961, 258, 0, 252, 951, 1924, 2927, 3711,
4081, 3944, 3335, 2406, 1387, 533, 56, 74, 584, 1459,
2480, 3393, 3971, 4071, 3666, 2859, 1850, 890, 218, 2,
294, 1024, 2008, 3002, 3758, 4089, 3911, 3270, 2324, 1310,
479, 38, 98, 642, 1537, 2558, 3452, 3997, 4057, 3616,
2786, 1771, 826, 184, 6, 336, 1092, 2085, 3069, 3799,
4093, 3879, 3208, 2249, 1240, 432, 25, 122, 697, 1608,
2629, 3505, 4018, 4041, 3569, 2718, 1700, 769, 156, 13,
376, 1154, 2155, 3129, 3834, 4095, 3847, 3151, 2181, 1178,
391, 16, 146, 748, 1674, 2692, 3550, 4035, 4026, 3524,
2656, 1637, 719, 132, 21, 413, 1212, 2218, 3182, 3864,
4094, 3816, 3099, 2120, 1123, 356, 9, 169, 795, 1733,
2748, 3590, 4048, 4010, 3484, 2601, 1580, 676, 113, 30,
448, 1263, 2274, 3228, 3889, 4092, 3788, 3052, 2066, 1075,
326, 5, 191, 837, 1785, 2797, 3624, 4059, 3994, 3447,
2552, 1531, 639, 97, 39, 479, 1309, 2322, 3267, 3909,
4089, 3762, 3010, 2018, 1034, 302, 2, 210, 875, 1830,
2839, 3652, 4067, 3980, 3414, 2509, 1489, 608, 84, 47,
507, 1349, 2364, 3300, 3926, 4086, 3740, 2974, 1978, 1000,
281, 1, 228, 907, 1868, 2874, 3675, 4072, 3967, 3386,
2473, 1454, 583, 74, 55, 530, 1382, 2398, 3327, 3939,
4082, 3721, 2944, 1945, 972, 265, 0, 243, 933, 1899,
2903, 3694, 4077, 3957, 3363, 2444, 1426, 563, 67, 62,
549, 1408, 2425, 3349, 3950, 4079, 3705, 2921, 1919, 950,
253, 0, 255, 954, 1924, 2924, 3708, 4080, 3948, 3346,
2422, 1405, 547, 61, 67, 564, 1428, 2445, 3364, 3957,
4077, 3694, 2903, 1901, 934, 244, 0, 263, 968, 1941,
2940, 3717, 4082, 3942, 3334, 2407, 1391, 537, 58, 71,
574, 1441, 2459, 3374, 3962, 4075, 3686, 2892, 1889, 925,
239, 0, 269, 977, 1951, 2948, 3723, 4083, 3939, 3327,
2398, 1383, 532, 56, 73, 579, 1448, 2465, 3379, 3964,
4074, 3683, 2888, 1884, 921, 237, 0, 270, 980, 1954,
2951, 3724, 4083, 3938, 3326, 2397, 1382, 531, 56, 73,
579, 1447, 2464, 3378, 3963, 4074, 3684, 2889, 1886, 923,
238, 0, 269, 977, 1950, 2947, 3722, 4082, 3940, 3330,
2403, 1388, 536, 58, 71, 574, 1440, 2457, 3372, 3960,
4076, 3690, 2898, 1896, 931, 243, 0, 264, 968, 1939,
2937, 3715, 4081, 3945, 3340, 2415, 1400, 545, 61, 68,
564, 1426, 2442, 3361, 3955, 4078, 3699, 2912, 1912, 945,
251, 0, 255, 953, 1921, 2920, 3704, 4079, 3952, 3355,
2435, 1419, 559, 66, 62, 549, 1406, 2421, 3344, 3947,
4081, 3713, 2933, 1936, 966, 262, 0, 243, 932, 1896,
2897, 3689, 4075, 3961, 3375, 2461, 1445, 578, 73, 56,
530, 1379, 2392, 3321, 3935, 4084, 3730, 2961, 1966, 992,
278, 1, 228, 905, 1863, 2867, 3669, 4070, 3973, 3401,
2494, 1478, 602, 83, 48, 506, 1345, 2357, 3292, 3921,
4087, 3751, 2994, 2004, 1025, 298, 2, 211, 873, 1824,
2831, 3644, 4064, 3986, 3431, 2534, 1518, 632, 95, 39,
479, 1305, 2314, 3258, 3903, 4091, 3775, 3033, 2049, 1064,
321, 4, 191, 835, 1778, 2787, 3614, 4055, 4001, 3466,
2581, 1565, 667, 110, 30, 447, 1259, 2264, 3217, 3881,
4093, 3802, 3078, 2101, 1110, 350, 9, 169, 793, 1725,
2737, 3579, 4044, 4017, 3505, 2634, 1619, 709, 129, 21,
413, 1206, 2207, 3169, 3854, 4095, 3831, 3128, 2159, 1163,
384, 15, 146, 745, 1665, 2679, 3537, 4029, 4033, 3548,
2694, 1680, 757, 152, 13, 375, 1148, 2143, 3114, 3823,
4095, 3862, 3184, 2225, 1223, 424, 24, 122, 694, 1599,
2614, 3490, 4011, 4049, 3594, 2759, 1749, 813, 180, 6,
335, 1085, 2072, 3053, 3786, 4092, 3895, 3244, 2298, 1291,
470, 37, 98, 639, 1526, 2542, 3435, 3988, 4063, 3643,
2830, 1825, 875, 213, 2, 294, 1017, 1993, 2983, 3743,
4086, 3928, 3307, 2377, 1366, 523, 54, 75, 581, 1448,
2462, 3374, 3960, 4076, 3694, 2907, 1909, 945, 252, 0,
251, 944, 1908, 2906, 3693, 4076, 3960, 3375, 2463, 1449,
583, 76, 53, 521, 1363, 2374, 3304, 3926, 4086, 3746,
2988, 2000, 1023, 297, 2, 209, 867, 1816, 2821, 3636,
4061, 3992, 3445, 2555, 1540, 650, 103, 34, 458, 1273,
2278, 3227, 3885, 4093, 3798, 3074, 2098, 1109, 351, 9,
168, 788, 1717, 2727, 3571, 4041, 4021, 3517, 2653, 1640,
727, 138, 18, 396, 1179, 2175, 3140, 3837, 4095, 3850,
3163, 2203, 1204, 412, 21, 128, 705, 1612, 2626, 3497,
4013, 4047, 3590, 2755, 1747, 812, 180, 6, 333, 1081,
2065, 3045, 3781, 4091, 3900, 3255, 2314, 1307, 482, 41,
92, 622, 1502, 2515, 3414, 3978, 4069, 3664, 2863, 1862,
906, 231, 0, 272, 979, 1948, 2941, 3715, 4081, 3948,
3349, 2432, 1420, 562, 68, 59, 538, 1386, 2397, 3321,
3934, 4085, 3736, 2973, 1984, 1010, 291, 2, 214, 875,
1823, 2827, 3639, 4062, 3991, 3444, 2555, 1542, 652, 105,
33, 454, 1266, 2270, 3218, 3880, 4094, 3806, 3087, 2114,
1125, 361, 11, 159, 770, 1693, 2703, 3553, 4034, 4029,
3538, 2683, 1672, 753, 151, 13, 373, 1143, 2135, 3105,
3816, 4094, 3872, 3203, 2251, 1249, 443, 30, 110, 664,
1557, 2570, 3455, 3996, 4059, 3631, 2815, 1811, 865, 209,
2, 296, 1018, 1992, 2980, 3739, 4085, 3932, 3318, 2394,
1384, 537, 59, 68, 561, 1417, 2428, 3345, 3945, 4081,
3720, 2950, 1959, 989, 279, 1, 223, 892, 1843, 2844,
3650, 4065, 3986, 3433, 2542, 1529, 644, 101, 35, 460,
1274, 2276, 3223, 3882, 4093, 3804, 3086, 2113, 1125, 362,
11, 158, 766, 1688, 2697, 3548, 4032, 4031, 3545, 2694,
1684, 763, 156, 12, 364, 1128, 2116, 3088, 3806, 4093,
3882, 3222, 2275, 1273, 460, 35, 101, 643, 1528, 2540,
3432, 3985, 4065, 3653, 2848, 1848, 897, 226, 1, 275,
982, 1949, 2940, 3714, 4080, 3950, 3356, 2442, 1432, 572,
72, 55, 524, 1365, 2373, 3301, 3923, 4087, 3754, 3004,
2020, 1044, 312, 4, 194, 837, 1776, 2780, 3606, 4051,
4008, 3486, 2613, 1602, 700, 126, 22, 411, 1200, 2196,
3155, 3844, 4095, 3846, 3159, 2200, 1204, 414, 22, 125,
696, 1597, 2608, 3482, 4006, 4053, 3610, 2787, 1783, 843,
198, 3, 307, 1036, 2011, 2995, 3748, 4086, 3928, 3311,
2386, 1378, 534, 59, 68, 560, 1415, 2424, 3341, 3943,
4082, 3726, 2961, 1973, 1003, 288, 1, 214, 873, 1819,
2820, 3633, 4060, 3996, 3457, 2575, 1564, 671, 114, 27,
433, 1232, 2230, 3183, 3860, 4095, 3831, 3133, 2170, 1178,
397, 19, 134, 716, 1622, 2632, 3499, 4013, 4048, 3596,
2766, 1762, 827, 189, 4, 317, 1051, 2027, 3009, 3756,
4088, 3922, 3300, 2373, 1367, 527, 56, 71, 567, 1423,
2431, 3346, 3945, 4082, 3724, 2957, 1969, 1001, 287, 1,
214, 873, 1818, 2818, 3631, 4059, 3997, 3461, 2580, 1570,
677, 116, 26, 428, 1223, 2220, 3174, 3854, 4095, 3838,
3145, 2185, 1192, 407, 21, 128, 702, 1604, 2613, 3485,
4007, 4053, 3610, 2788, 1786, 847, 200, 3, 303, 1027,
1999, 2983, 3740, 4085, 3935, 3325, 2406, 1399, 550, 65,
62, 542, 1388, 2394, 3316, 3930, 4086, 3746, 2994, 2011,
1038, 309, 4, 195, 836, 1772, 2775, 3601, 4049, 4011,
3496, 2629, 1620, 716, 134, 18, 395, 1174, 2164, 3127,
3827, 4095, 3865, 3194, 2244, 1247, 444, 31, 107, 655,
1541, 2550, 3437, 3987, 4065, 3653, 2851, 1854, 904, 232,
0, 266, 964, 1926, 2917, 3697, 4076, 3963, 3385, 2482,
1473, 604, 86, 44, 488, 1311, 2313, 3250, 3895, 4092,
3793, 3069, 2098, 1115, 358, 11, 158, 764, 1682, 2688,
3539, 4028, 4036, 3562, 2720, 1715, 791, 171, 8, 339,
1084, 2064, 3039, 3774, 4090, 3910, 3279, 2348, 1345, 512,
52, 76, 578, 1437, 2444, 3354, 3948, 4081, 3721, 2954,
1968, 1001, 288, 2, 211, 866, 1808, 2808, 3623, 4056,
4002, 3474, 2600, 1593, 695, 125, 22, 409, 1194, 2186,
3144, 3836, 4095, 3857, 3181, 2230, 1234, 436, 29, 110,
662, 1549, 2557, 3442, 3988, 4064, 3652, 2851, 1855, 905,
233, 0, 264, 959, 1919, 2909, 3691, 4074, 3967, 3394,
2495, 1488, 616, 91, 40, 475, 1292, 2291, 3231, 3885,
4093, 3806, 3093, 2127, 1141, 375, 14, 146, 738, 1647,
2653, 3513, 4017, 4045, 3589, 2760, 1758, 826, 190, 4,
313, 1041, 2013, 2994, 3745, 4086, 3932, 3323, 2405, 1400,
552, 66, 60, 535, 1376, 2379, 3303, 3922, 4088, 3760,
3017, 2040, 1065, 327, 6, 179, 804, 1730, 2733, 3570,
4038, 4025, 3534, 2683, 1678, 762, 158, 11, 356, 1111,
2092, 3062, 3787, 4092, 3901, 3262, 2330, 1329, 502, 49,
79, 585, 1445, 2451, 3359, 3950, 4081, 3720, 2955, 1970,
1004, 291, 2, 208, 859, 1797, 2796, 3614, 4053, 4007,
3488, 2620, 1614, 713, 134, 18, 392, 1167, 2154, 3116,
3819, 4094, 3875, 3214, 2271, 1274, 464, 37, 96, 626,
1500, 2506, 3402, 3970, 4073, 3688, 2905, 1916, 958, 264,
0, 231, 901, 1848, 2843, 3646, 4062, 3992, 3453, 2573,
1567, 677, 118, 25, 420, 1209, 2200, 3154, 3841, 4095,
3854, 3177, 2228, 1234, 437, 29, 109, 656, 1539, 2545,
3431, 3983, 4067, 3664, 2871, 1879, 927, 246, 0, 248,
931, 1883, 2875, 3667, 4068, 3982, 3429, 2542, 1536, 654,
108, 30, 439, 1236, 2229, 3178, 3855, 4095, 3841, 3155,
2201, 1210, 422, 25, 117, 674, 1563, 2568, 3448, 3990,
4064, 3651, 2851, 1857, 910, 236, 0, 258, 947, 1901,
2891, 3678, 4071, 3976, 3416, 2526, 1521, 643, 103, 32,
447, 1248, 2242, 3189, 3860, 4095, 3836, 3145, 2190, 1201,
416, 24, 120, 680, 1571, 2576, 3454, 3992, 4063, 3647,
2846, 1852, 906, 235, 0, 259, 949, 1904, 2893, 3679,
4071, 3976, 3416, 2527, 1522, 643, 103, 32, 446, 1246,
2239, 3186, 3858, 4095, 3838, 3150, 2196, 1207, 420, 25,
117, 674, 1562, 2567, 3447, 3989, 4064, 3654, 2856, 1864,
916, 240, 0, 253, 938, 1890, 2880, 3669, 4069, 3981,
3428, 2543, 1538, 656, 109, 29, 434, 1228, 2219, 3169,
3849, 4095, 3848, 3168, 2218, 1227, 434, 29, 109, 656,
1538, 2543, 3428, 3981, 4069, 3670, 2881, 1891, 939, 254,
0, 239, 913, 1860, 2852, 3650, 4063, 3991, 3452, 2575,
1570, 681, 120, 23, 413, 1196, 2184, 3139, 3831, 4095,
3866, 3200, 2257, 1263, 458, 36, 97, 627, 1499, 2502,
3397, 3967, 4075, 3696, 2921, 1936, 977, 276, 1, 218,
874, 1813, 2808, 3620, 4054, 4006, 3487, 2622, 1619, 719,
138, 16, 383, 1149, 2131, 3094, 3804, 4093, 3890, 3244,
2311, 1315, 494, 47, 80, 586, 1443, 2446, 3352, 3945,
4083, 3731, 2975, 1996, 1030, 308, 4, 191, 824, 1751,
2749, 3579, 4041, 4024, 3533, 2685, 1684, 770, 163, 9,
344, 1088, 2063, 3034, 3768, 4089, 3920, 3301, 2382, 1382,
542, 63, 61, 536, 1373, 2373, 3294, 3916, 4089, 3773,
3042, 2073, 1097, 350, 10, 159, 761, 1672, 2673, 3524,
4021, 4044, 3588, 2762, 1765, 836, 197, 3, 299, 1014,
1978, 2958, 3720, 4080, 3953, 3369, 2468, 1466, 603, 87,
42, 477, 1289, 2283, 3220, 3877, 4094, 3821, 3122, 2166,
1181, 404, 21, 124, 689, 1579, 2581, 3456, 3992, 4063,
3650, 2853, 1863, 917, 242, 0, 249, 928, 1877, 2866,
3659, 4065, 3988, 3446, 2569, 1567, 679, 120, 23, 411,
1191, 2176, 3131, 3826, 4094, 3873, 3213, 2275, 1282, 472,
40, 89, 607, 1470, 2472, 3371, 3954, 4080, 3719, 2957,
1978, 1015, 300, 3, 196, 832, 1760, 2756, 3583, 4042,
4023, 3531, 2684, 1685, 772, 165, 8, 340, 1081, 2053,
3024, 3761, 4088, 3926, 3314, 2400, 1400, 556, 69, 56,
519, 1348, 2345, 3270, 3903, 4092, 3791, 3073, 2110, 1131,
372, 14, 143, 727, 1628, 2628, 3490, 4007, 4054, 3622,
2813, 1820, 882, 223, 1, 268, 961, 1914, 2899, 3680,
4071, 3978, 3423, 2539, 1537, 658, 111, 27, 427, 1214,
2201, 3150, 3837, 4095, 3863, 3198, 2257, 1266, 462, 37,
93, 616, 1482, 2482, 3379, 3957, 4079, 3715, 2952, 1973,
1012, 298, 3, 196, 832, 1759, 2754, 3581, 4041, 4024,
3536, 2691, 1693, 779, 169, 7, 334, 1070, 2039, 3011,
3752, 4086, 3933, 3329, 2419, 1421, 572, 75, 50, 502,
1324, 2318, 3247, 3890, 4093, 3807, 3101, 2143, 1162, 393,
19, 130, 698, 1589, 2590, 3461, 3994, 4063, 3650, 2854,
1866, 922, 246, 0, 243, 917, 1861, 2850, 3647, 4062,
3996, 3465, 2595, 1595, 703, 132, 18, 389, 1155, 2135,
3094, 3803, 4093, 3894, 3255, 2328, 1334, 510, 53, 72,
563, 1408, 2405, 3318, 3927, 4088, 3761, 3026, 2058, 1087,
345, 9, 160, 761, 1669, 2667, 3518, 4017, 4047, 3600,
2782, 1789, 858, 211, 1, 280, 980, 1935, 2917, 3691,
4073, 3972, 3412, 2527, 1527, 651, 109, 28, 429, 1216,
2202, 3150, 3836, 4095, 3866, 3203, 2265, 1275, 470, 40,
89, 605, 1464, 2463, 3363, 3949, 4082, 3730, 2977, 2002,
1038, 315, 5, 181, 803, 1720, 2716, 3553, 4030, 4036,
3567, 2736, 1742, 820, 190, 4, 304, 1019, 1980, 2957,
3717, 4079, 3958, 3381, 2487, 1488, 622, 96, 35, 453,
1251, 2239, 3181, 3853, 4095, 3850, 3175, 2232, 1245, 449,
34, 98, 627, 1494, 2492, 3385, 3959, 4079, 3714, 2953,
1976, 1016, 302, 3, 191, 821, 1743, 2737, 3567, 4036,
4031, 3554, 2718, 1723, 805, 183, 5, 312, 1033, 1995,
2970, 3725, 4081, 3953, 3372, 2475, 1477, 615, 93, 37,
459, 1259, 2246, 3187, 3856, 4095, 3847, 3171, 2228, 1242,
447, 33, 99, 628, 1494, 2492, 3385, 3959, 4079, 3715,
2955, 1979, 1020, 304, 4, 189, 816, 1736, 2730, 3562,
4034, 4033, 3560, 2728, 1734, 814, 188, 4, 305, 1021,
1981, 2956, 3716, 4079, 3959, 3385, 2493, 1495, 628, 99,
33, 446, 1239, 2225, 3168, 3845, 4095, 3858, 3192, 2253,
1265, 464, 38, 90, 608, 1467, 2464, 3362, 3948, 4082,
3733, 2984, 2012, 1049, 322, 6, 175, 788, 1700, 2695,
3537, 4024, 4042, 3586, 2765, 1774, 847, 206, 2, 283,
984, 1937, 2917, 3689, 4073, 3975, 3420, 2539, 1541, 664,
115, 25, 415, 1193, 2173, 3124, 3819, 4094, 3883, 3236,
2307, 1317, 500, 50, 74, 567, 1411, 2406, 3316, 3925,
4088, 3767, 3038, 2074, 1104, 357, 12, 149, 737, 1636,
2632, 3490, 4005, 4056, 3631, 2830, 1843, 905, 238, 0,
248, 923, 1864, 2849, 3644, 4060, 3999, 3475, 2613, 1616,
722, 142, 14, 368, 1121, 2093, 3054, 3777, 4090, 3918,
3303, 2390, 1396, 557, 71, 53, 508, 1329, 2319, 3245,
3887, 4094, 3815, 3117, 2166, 1187, 411, 24, 116, 666,
1543, 2540, 3420, 3975, 4073, 3691, 2920, 1942, 989, 287,
2, 202, 839, 1762, 2753, 3577, 4038, 4028, 3549, 2714,
1721, 805, 184, 4, 308, 1024, 1983, 2956, 3715, 4078,
3961, 3390, 2502, 1506, 638, 104, 30, 434, 1220, 2202,
3147, 3832, 4095, 3872, 3218, 2286, 1298, 488, 46, 79,
577, 1424, 2418, 3324, 3929, 4088, 3764, 3034, 2070, 1101,
357, 12, 149, 735, 1632, 2627, 3485, 4003, 4058, 3637,
2840, 1856, 917, 245, 0, 239, 906, 1844, 2829, 3629,
4056, 4007, 3494, 2640, 1645, 746, 154, 10, 348, 1088,
2055, 3020, 3755, 4086, 3935, 3338, 2435, 1441, 590, 84,
42, 475, 1279, 2265, 3199, 3862, 4095, 3844, 3169, 2228,
1245, 451, 35, 95, 616, 1476, 2470, 3365, 3948, 4083,
3736, 2990, 2021, 1059, 330, 7, 167, 771, 1676, 2670,
3516, 4015, 4050, 3611, 2803, 1816, 884, 227, 0, 257,
937, 1879, 2861, 3651, 4062, 3997, 3472, 2610, 1615, 723,
143, 13, 364, 1112, 2081, 3042, 3768, 4088, 3926, 3320,
2414, 1421, 576, 79, 46, 486, 1295, 2281, 3213, 3869,
4095, 3838, 3158, 2216, 1234, 445, 33, 98, 622, 1483,
2477, 3370, 3951, 4082, 3733, 2986, 2018, 1057, 329, 7,
167, 770, 1675, 2668, 3514, 4014, 4051, 3614, 2808, 1823,
890, 231, 0, 252, 928, 1868, 2850, 3643, 4059, 4001,
3482, 2625, 1631, 736, 150, 11, 353, 1095, 2061, 3024,
3757, 4086, 3935, 3339, 2438, 1445, 594, 86, 41, 468,
1268, 2252, 3187, 3854, 4095, 3853, 3186, 2250, 1266, 467,
40, 87, 595, 1446, 2439, 3339, 3935, 4086, 3757, 3024,
2062, 1096, 354, 12, 149, 734, 1628, 2621, 3479, 4000,
4060, 3647, 2856, 1875, 935, 257, 0, 226, 881, 1811,
2797, 3606, 4048, 4018, 3525, 2684, 1692, 785, 175, 6,
318, 1037, 1994, 2964, 3718, 4079, 3961, 3393, 2507, 1514,
646, 108, 27, 422, 1199, 2176, 3123, 3816, 4094, 3889,
3251, 2330, 1342, 520, 58, 64, 537, 1366, 2355, 3271,
3900, 4092, 3804, 3102, 2151, 1177, 407, 23, 116, 663,
1536, 2529, 3409, 3969, 4076, 3706, 2946, 1974, 1020, 308,
4, 182, 798, 1708, 2698, 3535, 4022, 4045, 3597, 2785,
1800, 873, 222, 0, 260, 941, 1881, 2861, 3649, 4061,
3999, 3478, 2621, 1629, 735, 150, 11, 351, 1090, 2054,
3016, 3751, 4085, 3940, 3351, 2455, 1463, 609, 93, 36,
452, 1244, 2224, 3163, 3839, 4095, 3869, 3215, 2287, 1303,
493, 49, 74, 564, 1401, 2391, 3300, 3914, 4090, 3786,
3074, 2120, 1149, 390, 19, 126, 683, 1562, 2554, 3427,
3977, 4073, 3693, 2927, 1954, 1004, 298, 3, 189, 811,
1723, 2712, 3544, 4025, 4042, 3590, 2776, 1791, 866, 219,
1, 263, 944, 1885, 2863, 3650, 4061, 3999, 3479, 2623,
1631, 738, 152, 11, 348, 1084, 2046, 3008, 3745, 4084,
3945, 3360, 2467, 1476, 619, 97, 33, 441, 1227, 2205,
3146, 3829, 4094, 3879, 3235, 2311, 1326, 510, 55, 67,
544, 1373, 2361, 3275, 3901, 4092, 3804, 3104, 2156, 1182,
412, 25, 112, 654, 1522, 2513, 3395, 3962, 4079, 3720,
2969, 2001, 1045, 324, 7, 168, 770, 1672, 2661, 3507,
4010, 4054, 3627, 2830, 1849, 915, 247, 0, 233, 892,
1822, 2804, 3609, 4048, 4018, 3527, 2688, 1700, 793, 180,
5, 308, 1019, 1971, 2941, 3701, 4075, 3973, 3420, 2545,
1554, 679, 124, 20, 390, 1149, 2119, 3071, 3784, 4090,
3918, 3307, 2402, 1413, 573, 79, 45, 480, 1283, 2264,
3195, 3857, 4095, 3854, 3190, 2258, 1277, 477, 44, 80,
577, 1418, 2407, 3311, 3919, 4090, 3782, 3068, 2116, 1147,
389, 19, 125, 680, 1555, 2545, 3419, 3972, 4075, 3703,
2943, 1974, 1022, 310, 5, 177, 787, 1692, 2680, 3520,
4016, 4050, 3617, 2816, 1835, 905, 241, 0, 238, 899,
1829, 2810, 3613, 4049, 4017, 3525, 2687, 1699, 793, 181,
4, 306, 1015, 1965, 2935, 3697, 4073, 3976, 3428, 2557,
1567, 689, 129, 18, 381, 1133, 2100, 3054, 3773, 4088,
3927, 3326, 2426, 1438, 592, 87, 39, 461, 1254, 2232,
3167, 3840, 4095, 3871, 3220, 2296, 1314, 503, 53, 69,
547, 1376, 2362, 3274, 3900, 4093, 3808, 3112, 2167, 1194,
421, 28, 106, 638, 1499, 2488, 3375, 3951, 4082, 3739,
3000, 2039, 1080, 347, 11, 150, 733, 1623, 2611, 3469,
3994, 4065, 3664, 2887, 1913, 971, 280, 2, 201, 832,
1746, 2731, 3556, 4029, 4040, 3585, 2772, 1790, 867, 221,
0, 258, 933, 1868, 2845, 3636, 4056, 4008, 3502, 2656,
1669, 770, 169, 6, 320, 1037, 1989, 2955, 3710, 4076,
3969, 3414, 2540, 1551, 678, 124, 19, 387, 1142, 2109,
3061, 3776, 4089, 3925, 3324, 2425, 1437, 593, 87, 39,
459, 1249, 2226, 3161, 3836, 4095, 3876, 3230, 2309, 1327,
513, 57, 64, 534, 1357, 2341, 3256, 3890, 4094, 3821,
3135, 2195, 1221, 440, 33, 96, 613, 1465, 2453, 3346,
3936, 4087, 3762, 3038, 2083, 1120, 373, 16, 133, 696,
1573, 2562, 3430, 3976, 4073, 3698, 2939, 1972, 1022, 312,
5, 175, 780, 1681, 2667, 3509, 4010, 4055, 3632, 2840,
1863, 930, 256, 0, 221, 867, 1788, 2769, 3582, 4038,
4031, 3561, 2740, 1757, 842, 207, 1, 272, 955, 1893,
2867, 3650, 4060, 4002, 3488, 2640, 1653, 758, 164, 7,
326, 1045, 1997, 2962, 3713, 4077, 3968, 3413, 2540, 1552,
680, 126, 19, 384, 1136, 2100, 3052, 3770, 4088, 3931,
3336, 2441, 1455, 606, 93, 35, 444, 1227, 2200, 3138,
3822, 4094, 3889, 3257, 2343, 1360, 538, 66, 55, 507,
1318, 2298, 3220, 3869, 4095, 3845, 3177, 2246, 1269, 474,
44, 80, 573, 1409, 2394, 3298, 3911, 4091, 3797, 3095,
2151, 1182, 414, 26, 108, 640, 1500, 2486, 3371, 3948,
4084, 3746, 3014, 2057, 1098, 360, 14, 140, 710, 1590,
2577, 3440, 3981, 4072, 3693, 2931, 1965, 1018, 310, 5,
175, 780, 1679, 2664, 3505, 4009, 4056, 3637, 2849, 1875,
941, 264, 1, 213, 851, 1767, 2748, 3566, 4032, 4037,
3580, 2768, 1788, 868, 222, 0, 253, 923, 1854, 2829,
3623, 4052, 4015, 3522, 2686, 1702, 799, 185, 3, 296,
995, 1939, 2907, 3676, 4067, 3990, 3462, 2605, 1620, 733,
152, 10, 341, 1068, 2022, 2982, 3725, 4079, 3962, 3401,
2526, 1540, 671, 122, 20, 387, 1140, 2103, 3053, 3770,
4088, 3932, 3339, 2447, 1462, 613, 97, 32, 435, 1212,
2183, 3122, 3812, 4093, 3900, 3277, 2370, 1387, 558, 74,
48, 485, 1284, 2260, 3187, 3850, 4095, 3866, 3215, 2294,
1315, 507, 55, 65, 535, 1355, 2335, 3249, 3884, 4094,
3830, 3153, 2219, 1246, 459, 39, 85, 586, 1425, 2408,
3308, 3916, 4091, 3793, 3090, 2147, 1180, 414, 27, 107,
637, 1494, 2478, 3363, 3944, 4085, 3754, 3029, 2076, 1116,
372, 16, 131, 689, 1561, 2547, 3416, 3969, 4077, 3715,
2967, 2006, 1055, 334, 9, 156, 741, 1628, 2612, 3466,
3991, 4067, 3675, 2907, 1939, 997, 298, 4, 182, 792,
1693, 2676, 3513, 4011, 4055, 3634, 2847, 1874, 942, 265,
1, 210, 844, 1757, 2736, 3557, 4028, 4041, 3593, 2788,
1811, 889, 235, 0, 238, 895, 1818, 2795, 3598, 4043,
4026, 3552, 2730, 1750, 839, 207, 1, 268, 946, 1879,
2851, 3637, 4056, 4010, 3511, 2674, 1692, 792, 182, 4,
298, 996, 1937, 2904, 3673, 4066, 3993, 3470, 2619, 1635,
747, 159, 8, 328, 1045, 1994, 2955, 3707, 4075, 3975,
3429, 2565, 1581, 705, 139, 14, 358, 1093, 2049, 3004,
3738, 4082, 3956, 3389, 2512, 1529, 665, 120, 20, 389,
1141, 2102, 3050, 3767, 4087, 3936, 3349, 2462, 1479, 627,
103, 28, 420, 1187, 2152, 3094, 3794, 4091, 3916, 3310,
2412, 1431, 591, 88, 37, 450, 1232, 2201, 3136, 3819,
4093, 3896, 3272, 2365, 1385, 558, 75, 47, 480, 1275,
2248, 3175, 3842, 4095, 3875, 3234, 2319, 1342, 527, 63,
57, 510, 1317, 2293, 3213, 3863, 4095, 3855, 3198, 2275,
1300, 498, 53, 68, 539, 1358, 2336, 3248, 3883, 4094,
3834, 3162, 2233, 1261, 471, 44, 79, 567, 1397, 2377,
3281, 3900, 4093, 3814, 3128, 2193, 1224, 445, 36, 90,
595, 1435, 2416, 3312, 3917, 4091, 3794, 3095, 2154, 1189,
422, 29, 101, 622, 1471, 2453, 3341, 3932, 4088, 3774,
3063, 2117, 1156, 400, 23, 113, 648, 1506, 2488, 3369,
3945, 4085, 3755, 3032, 2083, 1125, 380, 18, 124, 673,
1538, 2521, 3394, 3958, 4081, 3737, 3003, 2050, 1096, 361,
14, 136, 697, 1569, 2552, 3418, 3969, 4077, 3719, 2976,
2019, 1069, 344, 11, 147, 720, 1599, 2581, 3440, 3979,
4073, 3702, 2950, 1990, 1043, 328, 8, 158, 742, 1626,
2608, 3460, 3988, 4069, 3685, 2925, 1963, 1020, 314, 6,
168, 762, 1652, 2633, 3479, 3996, 4065, 3670, 2902, 1938,
998, 300, 4, 178, 781, 1676, 2656, 3496, 4003, 4061,
3655, 2881, 1914, 979, 289, 3, 187, 799, 1698, 2677,
3511, 4009, 4057, 3642, 2861, 1893, 961, 278, 2, 196,
815, 1718, 2696, 3525, 4015, 4053, 3630, 2843, 1874, 944,
268, 1, 204, 830, 1736, 2714, 3538, 4020, 4049, 3618,
2827, 1856, 930, 260, 1, 212, 844, 1753, 2729, 3549,
4024, 4045, 3608, 2812, 1841, 917, 252, 0, 218, 856,
1767, 2743, 3559, 4028, 4042, 3599, 2799, 1827, 905, 246,
0, 224, 867, 1780, 2755, 3568, 4031, 4040, 3591, 2788,
1815, 896, 241, 0, 229, 876, 1791, 2765, 3575, 4034,
4037, 3584, 2779, 1805, 888, 236, 0, 234, 883, 1800,
2773, 3580, 4036, 4035, 3579, 2771, 1797, 881, 232, 0,
237, 889, 1807, 2780, 3585, 4037, 4034, 3574, 2765, 1791,
876, 230, 0, 240, 894, 1812, 2785, 3588, 4038, 4032,
3571, 2761, 1787, 873, 228, 0, 241, 896, 1815, 2788,
3590, 4039, 4032, 3570, 2759, 1785, 871, 227, 0, 242,
898, 1817, 2789, 3591, 4039, 4032, 3569, 2758, 1785, 871,
227, 0, 242, 897, 1816, 2788, 3590, 4039, 4032, 3570,
2760, 1786, 873, 228, 0, 241, 896, 1814, 2786, 3588,
4038, 4033, 3572, 2763, 1790, 876, 230, 0, 239, 892,
1809, 2781, 3585, 4037, 4034, 3576, 2768, 1795, 880, 232,
0, 236, 887, 1803, 2775, 3581, 4036, 4035, 3580, 2774,
1802, 886, 236, 0, 233, 880, 1795, 2768, 3575, 4034,
4038, 3586, 2783, 1811, 894, 240, 0, 228, 872, 1785,
2758, 3568, 4031, 4040, 3593, 2793, 1823, 903, 246, 0,
223, 862, 1773, 2747, 3560, 4028, 4043, 3602, 2805, 1836,
914, 252, 0, 217, 851, 1759, 2733, 3551, 4024, 4046,
3611, 2819, 1850, 927, 260, 1, 210, 839, 1744, 2718,
3540, 4020, 4050, 3622, 2834, 1867, 941, 268, 1, 202,
824, 1726, 2701, 3527, 4015, 4053, 3634, 2852, 1886, 957,
277, 2, 194, 809, 1707, 2682, 3513, 4009, 4057, 3646,
2871, 1907, 975, 288, 3, 185, 792, 1685, 2662, 3498,
4003, 4061, 3660, 2891, 1929, 994, 300, 4, 175, 773,
1662, 2639, 3481, 3996, 4066, 3675, 2913, 1954, 1016, 313,
6, 165, 754, 1637, 2615, 3462, 3987, 4070, 3691, 2937,
1980, 1039, 327, 8, 155, 733, 1611, 2588, 3442, 3978,
4074, 3707, 2962, 2009, 1064, 343, 11, 144, 711, 1582,
2560, 3421, 3968, 4078, 3725, 2989, 2039, 1090, 360, 15,
133, 687, 1552, 2529, 3397, 3957, 4082, 3743, 3017, 2071,
1119, 379, 19, 121, 663, 1520, 2497, 3372, 3945, 4085,
3762, 3047, 2105, 1150, 399, 24, 110, 637, 1486, 2463,
3345, 3931, 4089, 3781, 3078, 2141, 1182, 421, 30, 98,
611, 1451, 2426, 3316, 3916, 4091, 3801, 3111, 2179, 1217,
444, 37, 87, 584, 1414, 2388, 3285, 3900, 4093, 3821,
3145, 2219, 1254, 470, 45, 76, 556, 1375, 2348, 3252,
3882, 4095, 3841, 3180, 2260, 1293, 497, 54, 65, 527,
1335, 2305, 3217, 3862, 4095, 3862, 3216, 2304, 1333, 526,
64, 54, 497, 1293, 2261, 3180, 3841, 4095, 3882, 3253,
2349, 1376, 557, 76, 44, 467, 1250, 2214, 3141, 3818,
4093, 3903, 3290, 2396, 1422, 590, 90, 35, 437, 1206,
2166, 3099, 3793, 4090, 3923, 3329, 2444, 1469, 625, 105,
26, 407, 1160, 2116, 3055, 3766, 4086, 3943, 3369, 2494,
1519, 663, 122, 18, 376, 1114, 2063, 3009, 3737, 4080,
3962, 3409, 2546, 1570, 703, 141, 12, 346, 1066, 2009,
2961, 3705, 4073, 3981, 3449, 2600, 1624, 745, 162, 7,
315, 1017, 1953, 2910, 3672, 4064, 3999, 3490, 2654, 1680,
790, 185, 3, 285, 967, 1895, 2857, 3635, 4053, 4016,
3532, 2710, 1739, 837, 210, 1, 255, 917, 1835, 2801,
3597, 4040, 4032, 3573, 2768, 1799, 887, 238, 0, 226,
866, 1774, 2743, 3555, 4025, 4046, 3614, 2826, 1862, 940,
269, 1, 198, 815, 1711, 2683, 3511, 4007, 4059, 3655,
2886, 1926, 995, 302, 5, 171, 763, 1646, 2620, 3464,
3987, 4070, 3695, 2946, 1993, 1053, 338, 11, 145, 711,
1580, 2555, 3414, 3964, 4080, 3735, 3007, 2062, 1113, 377,
19, 121, 659, 1512, 2487, 3362, 3939, 4087, 3773, 3069,
2132, 1177, 419, 30, 98, 608, 1444, 2417, 3306, 3910,
4092, 3811, 3131, 2205, 1243, 464, 43, 77, 556, 1374,
2344, 3247, 3878, 4095, 3848, 3193, 2279, 1312, 512, 60,
58, 506, 1303, 2269, 3185, 3843, 4095, 3883, 3255, 2355,
1384, 564, 80, 41, 456, 1232, 2192, 3119, 3804, 4091,
3916, 3318, 2432, 1459, 619, 103, 27, 408, 1160, 2113,
3051, 3762, 4085, 3947, 3379, 2510, 1536, 678, 130, 15,
361, 1088, 2032, 2979, 3716, 4076, 3976, 3440, 2590, 1616,
740, 160, 7, 315, 1015, 1949, 2904, 3667, 4062, 4003,
3501, 2670, 1699, 806, 195, 2, 271, 943, 1864, 2826,
3613, 4045, 4026, 3560, 2751, 1784, 876, 233, 0, 230,
871, 1777, 2745, 3555, 4025, 4047, 3618, 2833, 1871, 949,
275, 2, 191, 799, 1690, 2661, 3494, 3999, 4064, 3674,
2915, 1961, 1026, 322, 8, 155, 729, 1601, 2574, 3428,
3970, 4078, 3728, 2997, 2053, 1107, 374, 18, 121, 659,
1511, 2483, 3358, 3936, 4088, 3779, 3079, 2147, 1191, 430,
33, 91, 591, 1420, 2390, 3283, 3897, 4094, 3828, 3161,
2242, 1279, 490, 52, 65, 525, 1329, 2295, 3205, 3854,
4095, 3874, 3241, 2339, 1371, 555, 77, 43, 461, 1238,
2197, 3122, 3805, 4091, 3917, 3320, 2437, 1465, 625, 106,
25, 400, 1146, 2096, 3035, 3751, 4083, 3956, 3398, 2536,
1563, 700, 141, 12, 341, 1056, 1994, 2944, 3692, 4069,
3991, 3474, 2635, 1665, 780, 181, 3, 286, 966, 1890,
2849, 3628, 4050, 4021, 3547, 2735, 1768, 864, 227, 0,
234, 877, 1784, 2750, 3558, 4025, 4047, 3618, 2835, 1875,
954, 279, 2, 187, 790, 1677, 2647, 3483, 3994, 4067,
3686, 2935, 1984, 1048, 336, 11, 144, 706, 1570, 2541,
3402, 3957, 4083, 3750, 3033, 2095, 1146, 400, 25, 105,
623, 1462, 2432, 3316, 3914, 4092, 3810, 3131, 2208, 1249,
470, 46, 72, 544, 1353, 2319, 3224, 3864, 4095, 3865,
3226, 2322, 1356, 546, 73, 45, 468, 1246, 2204, 3127,
3807, 4092, 3916, 3320, 2437, 1467, 628, 108, 24, 396,
1139, 2086, 3025, 3744, 4081, 3961, 3410, 2553, 1582, 716,
149, 9, 328, 1033, 1967, 2918, 3674, 4064, 4001, 3498,
2669, 1701, 810, 198, 1, 265, 929, 1845, 2806, 3597,
4039, 4034, 3582, 2785, 1822, 910, 254, 1, 208, 828,
1723, 2690, 3513, 4007, 4060, 3661, 2899, 1946, 1016, 317,
7, 156, 730, 1599, 2570, 3423, 3967, 4080, 3736, 3013,
2073, 1127, 388, 22, 111, 635, 1476, 2446, 3326, 3919,
4091, 3805, 3124, 2201, 1244, 467, 45, 73, 544, 1353,
2318, 3222, 3862, 4095, 3868, 3232, 2331, 1365, 553, 77,
42, 458, 1231, 2187, 3112, 3797, 4090, 3925, 3338, 2461,
1492, 647, 117, 20, 378, 1111, 2054, 2996, 3724, 4077,
3974, 3439, 2591, 1622, 748, 166, 5, 304, 993, 1919,
2874, 3643, 4055, 4016, 3535, 2721, 1756, 856, 224, 0,
236, 878, 1782, 2746, 3553, 4023, 4049, 3627, 2850, 1893,
971, 291, 4, 175, 767, 1645, 2614, 3456, 3982, 4074,
3712, 2977, 2033, 1093, 367, 17, 123, 660, 1508, 2477,
3350, 3931, 4089, 3790, 3101, 2175, 1221, 452, 41, 79,
558, 1372, 2336, 3236, 3870, 4095, 3861, 3221, 2318, 1355,
546, 74, 44, 463, 1237, 2192, 3115, 3799, 4090, 3924,
3338, 2462, 1494, 649, 118, 19, 374, 1104, 2046, 2987,
3718, 4075, 3978, 3449, 2606, 1637, 761, 173, 4, 293,
975, 1897, 2853, 3628, 4049, 4023, 3554, 2748, 1785, 881,
238, 0, 220, 850, 1747, 2712, 3528, 4012, 4057, 3652,
2888, 1936, 1009, 314, 7, 157, 730, 1597, 2566, 3418,
3964, 4081, 3743, 3026, 2090, 1144, 401, 26, 103, 615,
1448, 2415, 3299, 3904, 4093, 3825, 3159, 2245, 1286, 498,
56, 60, 508, 1300, 2260, 3172, 3832, 4094, 3898, 3288,
2401, 1435, 606, 99, 28, 408, 1155, 2102, 3036, 3749,
4082, 3960, 3411, 2557, 1589, 723, 154, 8, 318, 1014,
1941, 2892, 3655, 4058, 4012, 3527, 2711, 1747, 850, 221,
0, 236, 877, 1780, 2742, 3549, 4021, 4051, 3634, 2863,
1909, 987, 301, 5, 166, 747, 1618, 2585, 3432, 3970,
4079, 3733, 3012, 2075, 1131, 393, 24, 107, 623, 1457,
2423, 3305, 3907, 4093, 3822, 3156, 2241, 1284, 497, 56,
60, 507, 1298, 2257, 3169, 3830, 4094, 3900, 3294, 2409,
1443, 613, 102, 26, 401, 1143, 2087, 3022, 3740, 4080,
3967, 3425, 2576, 1609, 740, 163, 6, 305, 992, 1915,
2868, 3637, 4052, 4020, 3548, 2741, 1779, 878, 237, 0,
220, 847, 1742, 2705, 3522, 4009, 4059, 3661, 2902, 1953,
1025, 325, 9, 148, 710, 1570, 2537, 3394, 3952, 4085,
3763, 3060, 2130, 1182, 427, 34, 89, 580, 1399, 2362,
3255, 3879, 4095, 3854, 3211, 2308, 1348, 543, 74, 44,
461, 1231, 2184, 3106, 3792, 4089, 3932, 3355, 2486, 1520,
671, 129, 15, 353, 1068, 2002, 2946, 3690, 4068, 3996,
3490, 2663, 1699, 812, 201, 1, 257, 911, 1819, 2777,
3573, 4030, 4044, 3615, 2836, 1882, 964, 288, 4, 174,
762, 1636, 2601, 3443, 3975, 4077, 3728, 3004, 2068, 1127,
391, 24, 107, 622, 1454, 2418, 3300, 3903, 4093, 3828,
3167, 2256, 1299, 509, 61, 55, 492, 1276, 2231, 3145,
3815, 4092, 3914, 3321, 2444, 1480, 641, 116, 20, 375,
1102, 2039, 2979, 3711, 4073, 3985, 3466, 2631, 1667, 787,
188, 2, 271, 935, 1846, 2803, 3591, 4036, 4039, 3599,
2814, 1859, 946, 278, 3, 182, 777, 1653, 2618, 3455,
3980, 4075, 3720, 2992, 2055, 1116, 384, 22, 110, 628,
1462, 2426, 3306, 3906, 4093, 3826, 3163, 2253, 1297, 508,
61, 55, 492, 1274, 2229, 3143, 3813, 4092, 3916, 3326,
2451, 1487, 647, 118, 18, 369, 1092, 2028, 2968, 3703,
4071, 3990, 3477, 2647, 1684, 801, 196, 1, 261, 918,
1825, 2782, 3576, 4030, 4044, 3615, 2838, 1886, 969, 292,
4, 170, 753, 1623, 2587, 3431, 3969, 4080, 3740, 3024,
2092, 1150, 407, 28, 97, 600, 1423, 2385, 3272, 3887,
4095, 3848, 3201, 2299, 1341, 540, 73, 44, 460, 1228,
2177, 3098, 3786, 4088, 3938, 3368, 2506, 1541, 689, 139,
11, 335, 1039, 1967, 2912, 3666, 4060, 4009, 3522, 2709,
1749, 855, 226, 0, 228, 860, 1755, 2715, 3526, 4010,
4059, 3662, 2907, 1962, 1035, 333, 11, 140, 692, 1544,
2508, 3370, 3939, 4088, 3786, 3098, 2177, 1228, 460, 44,
72, 538, 1338, 2295, 3197, 3845, 4094, 3890, 3278, 2393,
1432, 607, 101, 26, 399, 1137, 2077, 3010, 3730, 4077,
3975, 3446, 2607, 1645, 771, 180, 3, 278, 945, 1856,
2810, 3595, 4037, 4038, 3599, 2817, 1864, 952, 282, 3,
177, 765, 1636, 2599, 3440, 3972, 4079, 3735, 3019, 2087,
1147, 406, 28, 97, 598, 1420, 2380, 3267, 3884, 4095,
3852, 3211, 2312, 1354, 550, 77, 40, 447, 1208, 2155,
3078, 3773, 4086, 3948, 3390, 2535, 1572, 714, 151, 8,
315, 1006, 1927, 2874, 3639, 4052, 4021, 3554, 2754, 1798,
897, 250, 1, 204, 815, 1698, 2659, 3484, 3992, 4070,
3701, 2966, 2029, 1095, 372, 19, 115, 638, 1472, 2434,
3310, 3907, 4093, 3827, 3168, 2261, 1307, 517, 65, 51,
478, 1252, 2201, 3117, 3797, 4090, 3931, 3357, 2493, 1531,
683, 136, 12, 337, 1040, 1965, 2909, 3662, 4059, 4011,
3530, 2721, 1764, 869, 234, 0, 218, 840, 1729, 2688,
3505, 4001, 4065, 3684, 2942, 2002, 1072, 358, 16, 123,
655, 1494, 2456, 3327, 3916, 4092, 3817, 3152, 2243, 1290,
505, 60, 54, 488, 1266, 2216, 3129, 3804, 4091, 3927,
3348, 2482, 1521, 676, 133, 13, 341, 1047, 1972, 2915,
3666, 4060, 4010, 3527, 2718, 1761, 867, 233, 0, 218,
840, 1728, 2686, 3504, 4000, 4066, 3687, 2946, 2007, 1077,
361, 17, 121, 649, 1486, 2447, 3319, 3911, 4093, 3823,
3162, 2255, 1303, 514, 64, 51, 478, 1251, 2199, 3114,
3794, 4089, 3934, 3363, 2503, 1542, 692, 141, 10, 328,
1025, 1948, 2892, 3650, 4055, 4018, 3546, 2745, 1790, 891,
248, 1, 204, 814, 1696, 2655, 3480, 3990, 4072, 3708,
2978, 2044, 1110, 383, 22, 108, 620, 1447, 2406, 3286,
3894, 4094, 3844, 3199, 2300, 1345, 545, 76, 41, 448,
1206, 2150, 3072, 3768, 4085, 3954, 3403, 2554, 1593, 733,
162, 6, 299, 977, 1891, 2839, 3613, 4043, 4033, 3586,
2801, 1850, 943, 278, 3, 178, 764, 1632, 2592, 3432,
3968, 4081, 3746, 3038, 2112, 1172, 425, 34, 86, 570,
1378, 2334, 3227, 3860, 4095, 3879, 3261, 2375, 1418, 599,
99, 27, 399, 1134, 2070, 3001, 3722, 4075, 3982, 3464,
2635, 1676, 799, 197, 1, 255, 903, 1803, 2756, 3554,
4020, 4053, 3645, 2886, 1943, 1022, 327, 10, 141, 691,
1539, 2498, 3359, 3931, 4090, 3800, 3125, 2213, 1265, 489,
55, 59, 500, 1281, 2230, 3139, 3809, 4091, 3925, 3346,
2482, 1522, 678, 135, 12, 336, 1035, 1957, 2899, 3654,
4056, 4017, 3545, 2745, 1791, 894, 250, 1, 201, 806,
1684, 2642, 3469, 3984, 4074, 3719, 2997, 2067, 1132, 399,
27, 98, 598, 1416, 2372, 3257, 3877, 4095, 3864, 3234,
2344, 1389, 578, 90, 31, 415, 1157, 2094, 3021, 3735,
4078, 3976, 3450, 2618, 1660, 787, 190, 1, 261, 913,
1814, 2765, 3560, 4022, 4052, 3642, 2882, 1939, 1020, 327,
10, 141, 689, 1536, 2494, 3355, 3929, 4090, 3804, 3132,
2223, 1275, 497, 58, 56, 490, 1266, 2213, 3123, 3798,
4090, 3933, 3363, 2505, 1547, 698, 145, 9, 320, 1009,
1926, 2869, 3633, 4049, 4026, 3570, 2780, 1830, 927, 270,
2, 183, 771, 1640, 2597, 3435, 3968, 4081, 3748, 3043,
2120, 1181, 431, 36, 82, 558, 1360, 2313, 3207, 3848,
4094, 3893, 3287, 2409, 1453, 627, 112, 20, 373, 1092,
2021, 2955, 3691, 4066, 4000, 3507, 2694, 1739, 852, 227,
0, 221, 842, 1727, 2682, 3498, 3997, 4069, 3698, 2967,
2034, 1104, 381, 22, 107, 616, 1438, 2394, 3274, 3885,
4095, 3856, 3222, 2331, 1378, 571, 87, 33, 419, 1161,
2097, 3022, 3735, 4078, 3977, 3454, 2623, 1667, 794, 195,
1, 255, 901, 1797, 2748, 3546, 4017, 4056, 3657, 2905,
1966, 1045, 343, 14, 129, 663, 1501, 2457, 3325, 3912,
4093, 3826, 3171, 2270, 1320, 530, 71, 44, 455, 1214,
2156, 3073, 3766, 4084, 3957, 3412, 2570, 1613, 751, 172,
4, 281, 945, 1849, 2797, 3581, 4030, 4046, 3625, 2860,
1917, 1003, 317, 9, 146, 699, 1546, 2503, 3360, 3931,
4090, 3804, 3133, 2226, 1280, 501, 60, 53, 482, 1252,
2196, 3107, 3788, 4088, 3943, 3384, 2533, 1577, 723, 158,
6, 299, 974, 1884, 2829, 3603, 4038, 4039, 3605, 2831,
1886, 976, 301, 6, 157, 721, 1574, 2530, 3381, 3941,
4088, 3790, 3111, 2201, 1257, 485, 55, 59, 497, 1273,
2218, 3126, 3799, 4090, 3935, 3369, 2514, 1558, 709, 151,
7, 308, 989, 1900, 2843, 3613, 4042, 4035, 3595, 2818,
1873, 966, 294, 5, 161, 729, 1584, 2540, 3388, 3945,
4087, 3786, 3105, 2194, 1251, 481, 53, 60, 500, 1277,
2222, 3129, 3800, 4090, 3934, 3367, 2513, 1557, 708, 151,
7, 308, 988, 1898, 2841, 3611, 4041, 4036, 3598, 2822,
1878, 970, 297, 6, 159, 723, 1576, 2532, 3382, 3941,
4088, 3791, 3114, 2204, 1261, 489, 56, 57, 491, 1264,
2208, 3117, 3793, 4089, 3940, 3380, 2529, 1574, 722, 158,
6, 298, 971, 1878, 2823, 3598, 4036, 4041, 3612, 2843,
1901, 990, 310, 8, 149, 704, 1551, 2506, 3361, 3931,
4090, 3805, 3138, 2233, 1288, 508, 63, 50, 471, 1235,
2176, 3089, 3775, 4086, 3953, 3405, 2563, 1608, 749, 172,
3, 279, 939, 1841, 2787, 3572, 4026, 4050, 3638, 2880,
1942, 1026, 332, 12, 134, 672, 1509, 2463, 3327, 3913,
4093, 3829, 3177, 2280, 1333, 540, 76, 40, 440, 1190,
2126, 3045, 3747, 4080, 3971, 3444, 2614, 1660, 791, 195,
1, 252, 893, 1785, 2734, 3534, 4011, 4061, 3674, 2934,
2001, 1078, 366, 19, 113, 627, 1449, 2402, 3277, 3886,
4095, 3859, 3231, 2345, 1394, 586, 95, 28, 399, 1129,
2058, 2984, 3708, 4070, 3994, 3495, 2682, 1731, 849, 227,
0, 218, 833, 1711, 2663, 3481, 3988, 4073, 3719, 3003,
2078, 1148, 412, 31, 88, 570, 1373, 2322, 3211, 3848,
4094, 3896, 3297, 2427, 1474, 646, 122, 16, 350, 1053,
1971, 2906, 3655, 4055, 4020, 3556, 2766, 1820, 923, 270,
2, 179, 760, 1621, 2574, 3413, 3956, 4085, 3772, 3086,
2174, 1235, 472, 51, 62, 504, 1281, 2224, 3129, 3799,
4089, 3937, 3376, 2526, 1573, 722, 159, 5, 294, 963,
1867, 2810, 3588, 4032, 4046, 3627, 2865, 1927, 1015, 326,
11, 137, 676, 1513, 2466, 3328, 3912, 4093, 3830, 3181,
2287, 1341, 547, 79, 37, 431, 1175, 2107, 3027, 3735,
4077, 3980, 3464, 2641, 1690, 816, 209, 0, 234, 861,
1745, 2694, 3503, 3997, 4069, 3703, 2979, 2053, 1126, 398,
28, 94, 584, 1390, 2339, 3224, 3855, 4095, 3891, 3288,
2417, 1466, 641, 120, 16, 352, 1055, 1972, 2906, 3654,
4055, 4021, 3560, 2772, 1827, 930, 275, 3, 174, 750,
1607, 2559, 3400, 3949, 4087, 3783, 3104, 2197, 1257, 488,
57, 56, 486, 1253, 2193, 3101, 3781, 4086, 3951, 3404,
2563, 1612, 754, 176, 3, 272, 924, 1820, 2765, 3554,
4018, 4056, 3660, 2915, 1983, 1064, 358, 18, 116, 631,
1453, 2403, 3276, 3884, 4095, 3863, 3239, 2358, 1409, 599,
101, 24, 384, 1104, 2028, 2955, 3687, 4064, 4006, 3525,
2724, 1777, 889, 251, 1, 193, 786, 1651, 2602, 3433,
3965, 4083, 3761, 3069, 2157, 1221, 463, 48, 65, 509,
1286, 2227, 3130, 3798, 4089, 3939, 3381, 2534, 1583, 732,
165, 4, 285, 946, 1845, 2787, 3570, 4024, 4052, 3647,
2897, 1963, 1048, 348, 15, 121, 643, 1467, 2417, 3287,
3890, 4095, 3858, 3231, 2348, 1401, 593, 99, 25, 388,
1109, 2032, 2958, 3689, 4065, 4006, 3524, 2724, 1778, 891,
252, 1, 191, 782, 1645, 2596, 3428, 3962, 4083, 3766,
3078, 2168, 1232, 471, 51, 61, 499, 1272, 2211, 3115,
3789, 4088, 3946, 3396, 2554, 1604, 749, 174, 3, 272,
924, 1819, 2762, 3551, 4017, 4058, 3665, 2924, 1995, 1076,
367, 20, 110, 617, 1433, 2381, 3257, 3873, 4095, 3876,
3264, 2389, 1441, 623, 113, 19, 362, 1068, 1985, 2916,
3659, 4056, 4020, 3559, 2772, 1830, 934, 279, 4, 169,
739, 1590, 2540, 3384, 3940, 4089, 3798, 3130, 2229, 1289,
512, 66, 46, 457, 1211, 2144, 3057, 3752, 4081, 3971,
3448, 2624, 1675, 806, 205, 0, 236, 862, 1742, 2689,
3497, 3994, 4071, 3714, 2997, 2077, 1150, 416, 33, 84,
557, 1351, 2294, 3185, 3831, 4093, 3915, 3336, 2479, 1530,
692, 145, 8, 309, 984, 1888, 2826, 3597, 4034, 4044,
3625, 2867, 1932, 1023, 333, 13, 129, 658, 1486, 2435,
3300, 3896, 4094, 3853, 3223, 2341, 1396, 590, 98, 25,
387, 1105, 2026, 2952, 3683, 4063, 4009, 3534, 2740, 1797,
907, 263, 2, 181, 760, 1617, 2566, 3403, 3949, 4087,
3787, 3112, 2210, 1272, 501, 62, 50, 467, 1223, 2156,
3066, 3758, 4082, 3969, 3443, 2618, 1670, 803, 204, 0,
236, 861, 1741, 2686, 3495, 3992, 4072, 3718, 3004, 2086,
1159, 423, 36, 80, 547, 1336, 2278, 3170, 3821, 4092,
3924, 3353, 2502, 1553, 711, 155, 6, 295, 959, 1858,
2797, 3575, 4026, 4052, 3648, 2900, 1970, 1056, 355, 17,
115, 627, 1444, 2390, 3263, 3875, 4095, 3876, 3264, 2392,
1446, 629, 116, 17, 354, 1054, 1967, 2898, 3646, 4051,
4027, 3578, 2801, 1863, 964, 298, 6, 153, 705, 1546,
2494, 3346, 3920, 4092, 3827, 3179, 2290, 1348, 556, 84,
33, 413, 1144, 2069, 2988, 3707, 4069, 3999, 3510, 2708,
1764, 881, 248, 1, 192, 781, 1641, 2588, 3419, 3957,
4085, 3777, 3098, 2195, 1259, 493, 59, 52, 472, 1229,
2162, 3070, 3759, 4082, 3969, 3444, 2621, 1674, 808, 207,
0, 232, 852, 1729, 2673, 3484, 3987, 4075, 3729, 3023,
2108, 1180, 438, 41, 73, 528, 1308, 2246, 3142, 3804,
4090, 3938, 3382, 2540, 1593, 743, 172, 3, 271, 919,
1809, 2749, 3540, 4011, 4062, 3682, 2952, 2029, 1110, 391,
27, 95, 581, 1380, 2323, 3206, 3842, 4094, 3908, 3324,
2467, 1521, 687, 144, 8, 308, 981, 1881, 2817, 3588,
4030, 4048, 3638, 2888, 1958, 1048, 351, 17, 117, 629,
1445, 2390, 3262, 3873, 4095, 3879, 3271, 2402, 1457, 638,
121, 15, 344, 1036, 1945, 2876, 3630, 4045, 4034, 3598,
2831, 1896, 994, 317, 10, 138, 674, 1503, 2449, 3309,
3900, 4094, 3852, 3224, 2345, 1402, 597, 102, 23, 376,
1086, 2001, 2927, 3664, 4057, 4020, 3562, 2780, 1842, 948,
289, 5, 157, 713, 1554, 2500, 3349, 3921, 4092, 3827,
3182, 2295, 1355, 563, 87, 31, 404, 1129, 2049, 2970,
3693, 4065, 4007, 3530, 2737, 1797, 910, 266, 3, 175,
747, 1597, 2542, 3383, 3938, 4090, 3806, 3147, 2253, 1316,
535, 76, 38, 429, 1165, 2089, 3005, 3716, 4071, 3995,
3503, 2701, 1760, 880, 248, 1, 190, 775, 1632, 2577,
3409, 3951, 4087, 3788, 3118, 2220, 1285, 513, 67, 44,
448, 1193, 2120, 3032, 3734, 4076, 3986, 3482, 2673, 1731,
856, 235, 0, 202, 797, 1659, 2603, 3429, 3961, 4084,
3774, 3096, 2195, 1262, 496, 61, 50, 463, 1215, 2144,
3052, 3746, 4079, 3978, 3467, 2653, 1710, 839, 226, 0,
211, 813, 1677, 2621, 3443, 3967, 4083, 3765, 3081, 2178,
1246, 486, 57, 53, 473, 1229, 2158, 3065, 3754, 4080,
3974, 3457, 2640, 1697, 829, 220, 0, 216, 822, 1688,
2631, 3450, 3970, 4081, 3760, 3073, 2169, 1239, 480, 56,
55, 478, 1235, 2165, 3070, 3757, 4081, 3972, 3453, 2636,
1693, 826, 218, 0, 217, 824, 1691, 2634, 3452, 3971,
4081, 3759, 3073, 2168, 1238, 480, 56, 55, 477, 1234,
2164, 3068, 3756, 4081, 3973, 3456, 2639, 1697, 829, 220,
0, 215, 820, 1685, 2628, 3447, 3969, 4082, 3763, 3079,
2176, 1246, 486, 58, 53, 471, 1225, 2154, 3060, 3750,
4079, 3977, 3464, 2650, 1708, 839, 226, 0, 209, 809,
1672, 2614, 3437, 3964, 4084, 3771, 3093, 2192, 1261, 497,
62, 49, 460, 1209, 2136, 3044, 3740, 4077, 3983, 3478,
2669, 1728, 855, 236, 0, 200, 792, 1650, 2593, 3420,
3955, 4086, 3784, 3113, 2216, 1283, 513, 68, 43, 444,
1185, 2109, 3020, 3725, 4073, 3992, 3498, 2696, 1757, 879,
249, 1, 187, 768, 1620, 2563, 3397, 3944, 4089, 3801,
3140, 2248, 1314, 535, 77, 37, 423, 1154, 2075, 2989,
3704, 4068, 4003, 3523, 2730, 1793, 910, 267, 3, 172,
738, 1583, 2526, 3367, 3929, 4091, 3821, 3174, 2289, 1352,
563, 89, 29, 398, 1116, 2032, 2951, 3678, 4060, 4015,
3554, 2772, 1838, 948, 290, 6, 154, 703, 1537, 2480,
3330, 3909, 4094, 3845, 3215, 2338, 1399, 598, 104, 21,
368, 1071, 1981, 2904, 3647, 4050, 4029, 3589, 2822, 1891,
993, 319, 10, 134, 662, 1484, 2425, 3286, 3885, 4095,
3871, 3261, 2394, 1454, 639, 123, 14, 336, 1020, 1921,
2850, 3608, 4036, 4044, 3628, 2878, 1952, 1047, 353, 18,
112, 616, 1423, 2363, 3235, 3856, 4094, 3900, 3313, 2458,
1517, 688, 146, 7, 300, 962, 1854, 2787, 3563, 4019,
4058, 3671, 2941, 2022, 1108, 393, 28, 90, 566, 1356,
2291, 3175, 3821, 4091, 3930, 3370, 2530, 1589, 744, 175,
2, 262, 899, 1779, 2715, 3511, 3997, 4071, 3717, 3010,
2100, 1178, 441, 43, 68, 513, 1281, 2212, 3107, 3779,
4085, 3960, 3431, 2610, 1669, 809, 210, 0, 222, 830,
1695, 2635, 3450, 3969, 4082, 3765, 3085, 2186, 1258, 496,
62, 48, 456, 1200, 2123, 3031, 3730, 4074, 3990, 3496,
2696, 1759, 883, 252, 1, 183, 758, 1605, 2546, 3381,
3935, 4091, 3815, 3165, 2280, 1346, 560, 88, 29, 397,
1113, 2027, 2944, 3673, 4058, 4019, 3564, 2788, 1857, 965,
302, 8, 144, 681, 1507, 2447, 3303, 3894, 4095, 3864,
3250, 2382, 1444, 633, 120, 14, 338, 1022, 1922, 2849,
3606, 4035, 4045, 3633, 2887, 1964, 1058, 361, 20, 106,
602, 1403, 2340, 3215, 3843, 4094, 3912, 3338, 2491, 1551,
715, 161, 4, 278, 925, 1809, 2743, 3530, 4005, 4067,
3703, 2990, 2079, 1161, 429, 39, 72, 522, 1293, 2223,
3116, 3784, 4086, 3958, 3428, 2607, 1668, 809, 211, 0,
221, 826, 1689, 2627, 3444, 3966, 4084, 3773, 3098, 2202,
1274, 509, 67, 43, 441, 1178, 2097, 3007, 3714, 4070,
4000, 3519, 2728, 1794, 913, 271, 3, 166, 725, 1562,
2502, 3346, 3916, 4093, 3840, 3209, 2333, 1398, 599, 105,
20, 362, 1059, 1964, 2886, 3632, 4044, 4036, 3610, 2855,
1929, 1029, 343, 16, 116, 623, 1429, 2366, 3236, 3855,
4094, 3903, 3321, 2471, 1532, 702, 154, 5, 286, 937,
1822, 2754, 3538, 4008, 4066, 3699, 2985, 2074, 1157, 428,
39, 73, 522, 1292, 2221, 3113, 3781, 4085, 3960, 3433,
2615, 1677, 817, 216, 0, 214, 814, 1673, 2611, 3430,
3959, 4086, 3784, 3118, 2226, 1297, 526, 74, 38, 423,
1150, 2066, 2978, 3694, 4064, 4010, 3544, 2764, 1833, 947,
292, 6, 149, 691, 1518, 2456, 3308, 3896, 4095, 3864,
3251, 2386, 1449, 638, 124, 13, 330, 1007, 1903, 2829,
3591, 4029, 4051, 3652, 2916, 1997, 1090, 383, 26, 93,
571, 1359, 2291, 3172, 3817, 4091, 3935, 3383, 2551, 1613,
766, 188, 1, 243, 864, 1733, 2668, 3473, 3979, 4079,
3753, 3069, 2171, 1246, 490, 61, 48, 455, 1197, 2116,
3021, 3722, 4072, 3997, 3512, 2721, 1788, 910, 270, 3,
165, 722, 1557, 2495, 3339, 3912, 4094, 3847, 3222, 2351,
1417, 614, 113, 17, 347, 1033, 1933, 2856, 3610, 4036,
4045, 3636, 2893, 1973, 1069, 370, 23, 100, 585, 1377,
2310, 3187, 3826, 4092, 3929, 3372, 2537, 1600, 757, 184,
1, 248, 871, 1742, 2676, 3478, 3981, 4079, 3751, 3066,
2167, 1244, 489, 61, 48, 455, 1195, 2114, 3019, 3720,
4071, 3998, 3517, 2727, 1796, 917, 275, 4, 161, 714,
1545, 2482, 3328, 3906, 4094, 3854, 3236, 2369, 1434, 628,
119, 14, 335, 1014, 1910, 2834, 3594, 4030, 4051, 3652,
2918, 2002, 1095, 387, 27, 90, 563, 1346, 2276, 3158,
3808, 4089, 3943, 3400, 2575, 1638, 788, 201, 0, 228,
837, 1698, 2633, 3446, 3965, 4084, 3776, 3107, 2216, 1290,
522, 74, 38, 422, 1147, 2060, 2970, 3687, 4062, 4015,
3557, 2783, 1855, 968, 306, 9, 138, 666, 1483, 2418,
3276, 3877, 4095, 3885, 3291, 2437, 1502, 681, 145, 7,
296, 951, 1835, 2763, 3542, 4009, 4065, 3700, 2990, 2082,
1168, 437, 43, 67, 506, 1267, 2191, 3085, 3762, 4081,
3975, 3467, 2662, 1728, 862, 243, 1, 187, 761, 1604,
2540, 3373, 3929, 4092, 3828, 3192, 2317, 1386, 593, 104,
20, 360, 1053, 1953, 2873, 3620, 4039, 4042, 3629, 2886,
1967, 1065, 369, 23, 99, 583, 1372, 2302, 3179, 3820,
4091, 3935, 3386, 2557, 1621, 775, 194, 0, 234, 846,
1708, 2642, 3451, 3968, 4083, 3774, 3105, 2215, 1290, 523,
74, 37, 419, 1141, 2052, 2962, 3681, 4060, 4018, 3566,
2796, 1871, 982, 316, 11, 130, 650, 1461, 2394, 3255,
3864, 4095, 3898, 3316, 2469, 1534, 706, 158, 4, 276,
917, 1794, 2724, 3512, 3996, 4073, 3728, 3032, 2132, 1213,
469, 54, 54, 470, 1215, 2133, 3033, 3728, 4073, 3995,
3512, 2724, 1794, 918, 276, 4, 158, 705, 1532, 2467,
3314, 3897, 4095, 3866, 3259, 2399, 1466, 654, 133, 10,
312, 975, 1862, 2787, 3558, 4015, 4062, 3689, 2975, 2067,
1155, 429, 40, 69, 510, 1271, 2194, 3086, 3762, 4081,
3976, 3470, 2668, 1737, 870, 248, 1, 180, 748, 1586,
2520, 3356, 3919, 4093, 3841, 3216, 2347, 1417, 617, 115,
16, 339, 1017, 1910, 2832, 3590, 4028, 4053, 3661, 2933,
2021, 1115, 402, 32, 81, 539, 1311, 2236, 3122, 3784,
4085, 3962, 3441, 2630, 1698, 839, 231, 0, 196, 777,
1622, 2555, 3383, 3933, 4091, 3824, 3188, 2315, 1386, 594,
105, 20, 356, 1044, 1940, 2859, 3609, 4035, 4047, 3644,
2909, 1995, 1092, 387, 28, 88, 556, 1333, 2259, 3141,
3796, 4087, 3955, 3426, 2610, 1678, 823, 222, 0, 204,
791, 1638, 2571, 3395, 3939, 4090, 3817, 3176, 2301, 1373,
585, 101, 21, 362, 1054, 1951, 2869, 3616, 4037, 4045,
3639, 2901, 1987, 1085, 383, 27, 90, 559, 1338, 2264,
3145, 3798, 4087, 3954, 3424, 2609, 1677, 822, 222, 0,
203, 790, 1637, 2569, 3393, 3938, 4091, 3819, 3180, 2306,
1378, 589, 103, 20, 358, 1047, 1943, 2861, 3610, 4035,
4047, 3645, 2911, 1999, 1096, 391, 29, 86, 550, 1325,
2249, 3132, 3790, 4086, 3960, 3437, 2626, 1695, 837, 230,
0, 195, 774, 1616, 2549, 3377, 3930, 4092, 3830, 3199,
2329, 1401, 607, 111, 17, 344, 1023, 1916, 2835, 3591,
4028, 4053, 3663, 2939, 2029, 1123, 409, 35, 77, 528,
1294, 2216, 3103, 3771, 4082, 3972, 3463, 2661, 1731, 867,
248, 1, 179, 743, 1578, 2510, 3346, 3913, 4094, 3851,
3234, 2372, 1442, 638, 126, 12, 319, 984, 1870, 2792,
3560, 4015, 4062, 3693, 2983, 2079, 1168, 440, 45, 64,
494, 1245, 2163, 3057, 3741, 4076, 3990, 3502, 2714, 1787,
914, 276, 4, 156, 699, 1521, 2452, 3299, 3887, 4095,
3879, 3284, 2433, 1502, 685, 149, 6, 285, 929, 1805,
2730, 3515, 3995, 4073, 3732, 3043, 2147, 1231, 484, 60,
47, 448, 1180, 2091, 2993, 3700, 4064, 4012, 3554, 2784,
1861, 978, 315, 11, 128, 641, 1446, 2375, 3236, 3851,
4094, 3913, 3347, 2512, 1581, 747, 181, 1, 244, 860,
1721, 2650, 3454, 3967, 4084, 3780, 3118, 2234, 1313, 543,
83, 30, 394, 1099, 2000, 2911, 3644, 4046, 4036, 3615,
2870, 1955, 1059, 368, 23, 97, 573, 1354, 2278, 3155,
3803, 4088, 3952, 3423, 2609, 1680, 827, 225, 0, 198,
778, 1619, 2550, 3376, 3928, 4092, 3834, 3207, 2340, 1413,
617, 117, 14, 332, 1004, 1891, 2810, 3572, 4019, 4060,
3685, 2972, 2068, 1160, 436, 43, 65, 495, 1246, 2162,
3055, 3739, 4075, 3992, 3508, 2723, 1798, 925, 283, 6,
149, 684, 1501, 2430, 3280, 3876, 4095, 3892, 3308, 2464,
1535, 711, 163, 3, 265, 895, 1762, 2689, 3482, 3980,
4080, 3760, 3087, 2200, 1282, 521, 75, 36, 411, 1124,
2027, 2934, 3659, 4051, 4031, 3601, 2852, 1936, 1044, 358,
21, 101, 582, 1366, 2290, 3163, 3807, 4089, 3949, 3418,
2605, 1676, 824, 224, 0, 198, 776, 1617, 2546, 3372,
3926, 4093, 3838, 3214, 2351, 1424, 626, 121, 13, 323,
989, 1873, 2792, 3559, 4014, 4064, 3699, 2994, 2094, 1184,
453, 49, 57, 475, 1217, 2129, 3025, 3719, 4070, 4004,
3535, 2760, 1839, 960, 305, 9, 133, 650, 1455, 2382,
3240, 3853, 4094, 3914, 3350, 2518, 1589, 754, 186, 1,
237, 845, 1701, 2628, 3436, 3958, 4087, 3796, 3146, 2270,
1348, 570, 96, 23, 367, 1056, 1949, 2863, 3608, 4033,
4050, 3654, 2928, 2022, 1120, 409, 35, 75, 520, 1280,
2197, 3084, 3757, 4079, 3983, 3490, 2700, 1775, 907, 273,
4, 155, 695, 1513, 2440, 3287, 3879, 4095, 3890, 3306,
2463, 1535, 713, 164, 3, 262, 887, 1751, 2676, 3472,
3975, 4082, 3771, 3106, 2224, 1305, 539, 83, 30, 392,
1094, 1992, 2901, 3635, 4043, 4041, 3629, 2893, 1983, 1087,
387, 29, 85, 544, 1312, 2231, 3112, 3775, 4083, 3973,
3468, 2671, 1746, 883, 260, 3, 166, 715, 1538, 2465,
3307, 3890, 4095, 3880, 3288, 2443, 1515, 698, 157, 4,
271, 902, 1768, 2692, 3483, 3980, 4080, 3763, 3095, 2211,
1294, 531, 80, 32, 398, 1102, 2000, 2908, 3639, 4044,
4039, 3626, 2889, 1980, 1084, 386, 29, 85, 545, 1312,
2230, 3111, 3774, 4082, 3974, 3470, 2675, 1751, 888, 263,
3, 163, 709, 1529, 2456, 3299, 3885, 4095, 3885, 3298,
2455, 1529, 708, 163, 3, 263, 888, 1751, 2675, 3470,
3974, 4083, 3775, 3113, 2233, 1315, 547, 86, 28, 383,
1079, 1974, 2884, 3622, 4038, 4046, 3645, 2916, 2010, 1111,
404, 34, 76, 522, 1280, 2196, 3081, 3754, 4078, 3986,
3497, 2712, 1790, 921, 283, 6, 147, 677, 1488, 2413,
3264, 3865, 4095, 3905, 3335, 2501, 1575, 745, 182, 1,
239, 846, 1700, 2625, 3431, 3955, 4088, 3803, 3159, 2288,
1368, 586, 104, 19, 349, 1027, 1914, 2828, 3582, 4022,
4059, 3683, 2974, 2074, 1170, 445, 47, 59, 478, 1217,
2127, 3020, 3714, 4068, 4008, 3547, 2780, 1863, 983, 322,
13, 120, 621, 1414, 2337, 3200, 3828, 4091, 3937, 3397,
2580, 1655, 810, 218, 0, 201, 779, 1616, 2541, 3366,
3921, 4093, 3847, 3234, 2377, 1454, 652, 135, 9, 299,
947, 1820, 2739, 3517, 3995, 4075, 3740, 3060, 2173, 1261,
509, 71, 37, 414, 1125, 2024, 2927, 3651, 4048, 4036,
3618, 2879, 1970, 1077, 383, 28, 86, 544, 1309, 2226,
3105, 3769, 4081, 3978, 3481, 2691, 1770, 905, 274, 5,
152, 687, 1499, 2424, 3271, 3869, 4095, 3903, 3332, 2499,
1574, 746, 183, 1, 236, 841, 1692, 2616, 3423, 3950,
4089, 3811, 3173, 2306, 1386, 601, 111, 16, 336, 1005,
1886, 2801, 3562, 4014, 4065, 3704, 3006, 2112, 1205, 470,
57, 49, 450, 1176, 2080, 2977, 3685, 4059, 4023, 3584,
2832, 1920, 1034, 355, 21, 100, 576, 1352, 2270, 3143,
3792, 4086, 3964, 3451, 2653, 1731, 873, 255, 2, 167,
714, 1533, 2457, 3298, 3883, 4095, 3889, 3309, 2471, 1547,
725, 172, 2, 248, 861, 1716, 2638, 3440, 3958, 4087,
3801, 3157, 2287, 1369, 589, 106, 18, 344, 1017, 1899,
2812, 3569, 4017, 4063, 3699, 2998, 2104, 1199, 466, 55,
50, 452, 1178, 2082, 2978, 3685, 4059, 4023, 3585, 2834,
1923, 1037, 357, 21, 98, 571, 1345, 2262, 3135, 3787,
4085, 3968, 3461, 2666, 1745, 886, 263, 3, 160, 700,
1515, 2438, 3281, 3874, 4095, 3899, 3327, 2495, 1571, 745,
183, 1, 235, 838, 1686, 2609, 3417, 3946, 4090, 3818,
3186, 2323, 1403, 615, 118, 13, 322, 982, 1859, 2773,
3541, 4004, 4070, 3725, 3038, 2151, 1242, 497, 67, 40,
421, 1132, 2030, 2931, 3652, 4048, 4037, 3621, 2886, 1980,
1088, 391, 31, 80, 529, 1287, 2199, 3080, 3752, 4077,
3990, 3508, 2730, 1812, 943, 298, 9, 133, 647, 1445,
2365, 3221, 3839, 4092, 3931, 3387, 2571, 1648, 807, 218,
0, 198, 772, 1604, 2527, 3352, 3912, 4094, 3860, 3258,
2411, 1489, 681, 150, 5, 274, 903, 1764, 2683, 3473,
3974, 4083, 3779, 3124, 2251, 1336, 565, 96, 22, 360,
1040, 1924, 2834, 3584, 4022, 4060, 3689, 2985, 2091, 1189,
460, 54, 52, 455, 1181, 2083, 2977, 3684, 4058, 4024,
3590, 2843, 1934, 1049, 366, 24, 92, 557, 1325, 2238,
3114, 3772, 4082, 3978, 3483, 2697, 1780, 916, 282, 6,
144, 667, 1471, 2391, 3242, 3850, 4093, 3922, 3370, 2551,
1629, 792, 210, 0, 205, 783, 1618, 2540, 3362, 3917,
4094, 3856, 3252, 2403, 1483, 677, 149, 5, 275, 905,
1765, 2683, 3472, 3973, 4083, 3781, 3128, 2256, 1342, 570,
98, 21, 354, 1030, 1912, 2822, 3574, 4018, 4062, 3699,
3001, 2110, 1206, 473, 59, 47, 440, 1159, 2057, 2954,
3667, 4052, 4032, 3609, 2871, 1966, 1077, 385, 29, 82,
533, 1290, 2200, 3080, 3750, 4076, 3992, 3514, 2739, 1824,
955, 306, 10, 126, 631, 1422, 2340, 3199, 3824, 4090,
3943, 3413, 2606, 1686, 840, 237, 1, 179, 735, 1556,
2477, 3310, 3889, 4095, 3887, 3307, 2472, 1552, 731, 177,
1, 239, 842, 1689, 2609, 3415, 3944, 4090, 3823, 3197,
2339, 1422, 631, 126, 10, 306, 954, 1822, 2737, 3512,
3991, 4077, 3753, 3085, 2207, 1296, 538, 85, 28, 379,
1068, 1954, 2859, 3601, 4028, 4055, 3677, 2970, 2076, 1176,
453, 51, 53, 458, 1184, 2084, 2977, 3682, 4057, 4026,
3596, 2853, 1947, 1062, 375, 27, 86, 542, 1301, 2211,
3088, 3755, 4077, 3990, 3510, 2735, 1821, 953, 306, 10,
126, 630, 1420, 2336, 3194, 3821, 4090, 3947, 3420, 2616,
1698, 850, 244, 2, 172, 721, 1538, 2457, 3294, 3879,
4095, 3897, 3327, 2498, 1578, 753, 189, 0, 224, 816,
1656, 2575, 3388, 3930, 4093, 3843, 3231, 2380, 1462, 663,
142, 6, 282, 913, 1774, 2689, 3475, 3973, 4083, 3783,
3132, 2263, 1351, 578, 102, 19, 344, 1012, 1890, 2799,
3556, 4010, 4068, 3719, 3032, 2148, 1243, 500, 70, 37,
410, 1113, 2004, 2904, 3631, 4039, 4046, 3650, 2931, 2035,
1140, 429, 43, 62, 480, 1214, 2116, 3004, 3700, 4062,
4019, 3579, 2830, 1923, 1042, 363, 24, 92, 553, 1316,
2226, 3100, 3762, 4079, 3987, 3504, 2728, 1815, 949, 304,
10, 126, 630, 1418, 2333, 3191, 3819, 4090, 3949, 3427,
2626, 1709, 860, 251, 2, 166, 708, 1520, 2437, 3277,
3869, 4095, 3908, 3347, 2525, 1607, 777, 203, 0, 209,
788, 1620, 2538, 3358, 3914, 4094, 3863, 3266, 2425, 1507,
698, 161, 3, 256, 870, 1720, 2636, 3434, 3953, 4089,
3814, 3184, 2326, 1411, 625, 124, 11, 306, 952, 1818,
2730, 3505, 3987, 4079, 3762, 3101, 2228, 1319, 556, 93,
23, 359, 1035, 1915, 2821, 3571, 4016, 4065, 3708, 3018,
2133, 1231, 492, 67, 39, 415, 1119, 2009, 2907, 3633,
4040, 4046, 3651, 2934, 2039, 1146, 433, 45, 59, 473,
1202, 2102, 2990, 3689, 4059, 4024, 3593, 2851, 1948, 1065,
379, 28, 83, 532, 1285, 2192, 3069, 3741, 4074, 3999,
3533, 2768, 1859, 988, 329, 15, 110, 593, 1368, 2280,
3144, 3789, 4084, 3971, 3471, 2686, 1773, 914, 284, 7,
139, 655, 1450, 2365, 3216, 3833, 4091, 3940, 3409, 2605,
1689, 845, 242, 2, 171, 717, 1530, 2447, 3283, 3872,
4095, 3907, 3346, 2525, 1608, 779, 205, 0, 206, 781,
1610, 2526, 3347, 3907, 4095, 3871, 3283, 2446, 1530, 717,
171, 2, 242, 844, 1687, 2603, 3407, 3939, 4091, 3834,
3219, 2369, 1455, 659, 142, 6, 280, 907, 1764, 2677,
3464, 3967, 4086, 3796, 3156, 2294, 1383, 604, 115, 13,
319, 970, 1838, 2747, 3517, 3992, 4077, 3756, 3093, 2221,
1313, 553, 92, 23, 359, 1033, 1910, 2815, 3566, 4013,
4066, 3716, 3031, 2149, 1247, 505, 72, 35, 400, 1095,
1981, 2880, 3612, 4031, 4054, 3674, 2969, 2080, 1184, 461,
55, 48, 442, 1156, 2049, 2941, 3655, 4047, 4039, 3632,
2909, 2013, 1124, 420, 41, 64, 484, 1216, 2115, 3000,
3695, 4060, 4023, 3590, 2849, 1948, 1066, 381, 29, 81,
526, 1275, 2179, 3056, 3732, 4071, 4005, 3548, 2791, 1885,
1012, 346, 20, 99, 568, 1332, 2240, 3109, 3766, 4079,
3987, 3506, 2734, 1825, 960, 313, 12, 118, 610, 1389,
2299, 3159, 3797, 4086, 3967, 3465, 2679, 1767, 912, 283,
7, 138, 651, 1443, 2356, 3207, 3826, 4090, 3946, 3423,
2625, 1712, 866, 255, 3, 159, 692, 1496, 2410, 3251,
3853, 4093, 3926, 3383, 2573, 1659, 822, 230, 1, 180,
732, 1547, 2462, 3293, 3877, 4095, 3904, 3343, 2523, 1608,
781, 207, 0, 202, 772, 1596, 2511, 3333, 3899, 4095,
3883, 3304, 2475, 1560, 743, 186, 0, 223, 810, 1644,
2558, 3370, 3919, 4094, 3861, 3266, 2428, 1515, 707, 167,
2, 245, 847, 1689, 2602, 3405, 3937, 4092, 3839, 3230,
2384, 1471, 674, 150, 4, 266, 883, 1732, 2644, 3437,
3953, 4089, 3818, 3194, 2342, 1431, 642, 134, 8, 287,
918, 1774, 2684, 3467, 3968, 4086, 3797, 3160, 2301, 1392,
613, 120, 11, 308, 951, 1813, 2721, 3495, 3981, 4082,
3777, 3128, 2263, 1356, 586, 108, 16, 328, 983, 1850,
2756, 3521, 3993, 4077, 3757, 3097, 2227, 1322, 561, 97,
20, 348, 1013, 1885, 2789, 3545, 4003, 4072, 3738, 3067,
2193, 1291, 539, 87, 25, 366, 1042, 1918, 2819, 3567,
4013, 4067, 3719, 3039, 2162, 1261, 517, 78, 31, 384,
1069, 1948, 2848, 3587, 4021, 4062, 3702, 3013, 2132, 1234,
498, 70, 36, 401, 1094, 1977, 2874, 3606, 4028, 4057,
3686, 2989, 2105, 1209, 481, 63, 41, 417, 1118, 2003,
2897, 3623, 4035, 4052, 3670, 2966, 2080, 1187, 465, 58,
46, 432, 1139, 2027, 2919, 3638, 4040, 4047, 3656, 2946,
2057, 1166, 451, 52, 51, 446, 1159, 2049, 2938, 3651,
4045, 4042, 3643, 2927, 2036, 1148, 438, 48, 55, 458,
1177, 2068, 2956, 3663, 4049, 4038, 3631, 2910, 2018, 1131,
427, 44, 59, 469, 1193, 2086, 2971, 3673, 4053, 4034,
3620, 2895, 2001, 1117, 417, 41, 63, 479, 1207, 2101,
2985, 3682, 4055, 4030, 3611, 2882, 1987, 1104, 409, 38,
67, 488, 1219, 2114, 2996, 3690, 4058, 4027, 3603, 2871,
1975, 1094, 402, 36, 69, 495, 1229, 2125, 3005, 3696,
4060, 4024, 3597, 2862, 1966, 1086, 396, 34, 72, 501,
1237, 2133, 3013, 3701, 4061, 4022, 3592, 2855, 1959, 1079,
392, 33, 73, 505, 1242, 2139, 3018, 3704, 4062, 4021,
3588, 2850, 1953, 1075, 389, 32, 75, 508, 1246, 2143,
3021, 3707, 4063, 4020, 3586, 2848, 1950, 1073, 388, 32,
75, 509, 1248, 2145, 3023, 3707, 4063, 4020, 3585, 2847,
1950, 1072, 388, 32, 75, 509, 1248, 2145, 3022, 3707,
4063, 4020, 3586, 2848, 1951, 1074, 389, 32, 75, 508,
1246, 2142, 3020, 3705, 4062, 4021, 3589, 2851, 1955, 1077,
391, 33, 74, 505, 1241, 2137, 3016, 3702, 4062, 4022,
3592, 2857, 1961, 1082, 395, 34, 72, 500, 1235, 2130,
3009, 3698, 4060, 4024, 3597, 2864, 1969, 1090, 400, 36,
70, 495, 1227, 2121, 3001, 3692, 4058, 4027, 3604, 2873,
1979, 1099, 406, 38, 67, 487, 1216, 2110, 2991, 3685,
4056, 4030, 3612, 2885, 1992, 1110, 414, 40, 63, 479,
1204, 2096, 2978, 3677, 4053, 4033, 3621, 2898, 2007, 1124,
423, 43, 60, 469, 1190, 2080, 2964, 3667, 4050, 4037,
3632, 2913, 2024, 1139, 434, 47, 56, 457, 1173, 2062,
2948, 3655, 4046, 4042, 3644, 2931, 2043, 1156, 446, 51,
51, 445, 1155, 2041, 2929, 3643, 4041, 4046, 3657, 2950,
2065, 1176, 459, 56, 46, 431, 1135, 2019, 2908, 3628,
4036, 4051, 3671, 2971, 2088, 1198, 475, 62, 41, 416,
1113, 1994, 2886, 3612, 4030, 4056, 3687, 2994, 2114, 1221,
492, 69, 36, 400, 1089, 1967, 2861, 3594, 4023, 4061,
3703, 3018, 2142, 1247, 510, 76, 31, 383, 1064, 1938,
2834, 3575, 4015, 4067, 3721, 3045, 2173, 1276, 531, 85,
26, 365, 1036, 1907, 2805, 3553, 4006, 4072, 3739, 3073,
2205, 1306, 553, 94, 21, 346, 1007, 1873, 2773, 3530,
3995, 4077, 3758, 3103, 2240, 1339, 577, 105, 16, 327,
977, 1837, 2739, 3505, 3984, 4081, 3778, 3134, 2276, 1374,
603, 118, 12, 307, 944, 1799, 2703, 3478, 3971, 4085,
3799, 3167, 2315, 1411, 632, 131, 8, 286, 911, 1759,
2665, 3448, 3956, 4089, 3820, 3202, 2356, 1451, 662, 146,
5, 265, 876, 1717, 2624, 3417, 3940, 4092, 3841, 3237,
2400, 1493, 695, 163, 2, 243, 839, 1673, 2580, 3383,
3923, 4094, 3862, 3274, 2445, 1537, 730, 182, 1, 222,
802, 1627, 2535, 3347, 3903, 4095, 3884, 3312, 2492, 1584,
767, 202, 0, 200, 763, 1579, 2487, 3308, 3882, 4095,
3906, 3351, 2541, 1633, 807, 225, 1, 179, 724, 1529,
2436, 3267, 3858, 4093, 3927, 3391, 2591, 1685, 850, 250,
3, 158, 684, 1477, 2383, 3223, 3832, 4091, 3948, 3432,
2644, 1739, 895, 277, 6, 137, 643, 1424, 2328, 3177,
3804, 4086, 3968, 3473, 2698, 1796, 943, 306, 12, 117,
601, 1369, 2270, 3128, 3773, 4080, 3988, 3515, 2754, 1855,
993, 338, 19, 98, 559, 1312, 2210, 3076, 3740, 4072,
4006, 3557, 2811, 1916, 1046, 373, 28, 80, 517, 1254,
2147, 3021, 3703, 4061, 4024, 3599, 2870, 1980, 1103, 411,
40, 63, 475, 1195, 2082, 2963, 3664, 4048, 4040, 3641,
2930, 2046, 1162, 452, 54, 48, 433, 1135, 2015, 2902,
3622, 4033, 4055, 3683, 2991, 2114, 1224, 495, 71, 34,
391, 1073, 1946, 2839, 3576, 4014, 4067, 3724, 3053, 2184,
1289, 543, 91, 22, 350, 1011, 1875, 2772, 3528, 3993,
4078, 3765, 3115, 2257, 1357, 593, 114, 13, 310, 948,
1801, 2703, 3476, 3969, 4086, 3804, 3178, 2331, 1428, 647,
140, 6, 272, 885, 1726, 2630, 3420, 3941, 4092, 3842,
3242, 2407, 1502, 704, 169, 1, 234, 822, 1649, 2554,
3361, 3910, 4095, 3879, 3305, 2485, 1579, 765, 202, 0,
198, 758, 1570, 2476, 3298, 3875, 4094, 3914, 3368, 2564,
1659, 830, 239, 2, 164, 695, 1491, 2395, 3231, 3836,
4091, 3947, 3431, 2645, 1742, 899, 280, 7, 133, 633,
1409, 2311, 3160, 3793, 4084, 3977, 3493, 2727, 1827, 971,
325, 16, 104, 571, 1327, 2224, 3086, 3745, 4073, 4005,
3554, 2809, 1915, 1048, 375, 29, 78, 511, 1244, 2135,
3008, 3693, 4058, 4029, 3614, 2892, 2006, 1128, 429, 47,
55, 452, 1161, 2043, 2926, 3637, 4038, 4050, 3672, 2976,
2099, 1212, 488, 68, 35, 395, 1077, 1949, 2840, 3576,
4014, 4068, 3728, 3059, 2194, 1299, 551, 95, 20, 340,
994, 1853, 2750, 3510, 3985, 4081, 3781, 3143, 2290, 1391,
620, 127, 9, 288, 911, 1756, 2657, 3440, 3951, 4090,
3832, 3225, 2389, 1486, 693, 164, 2, 239, 829, 1656,
2560, 3364, 3911, 4095, 3879, 3307, 2489, 1585, 771, 206,
0, 193, 748, 1556, 2460, 3283, 3866, 4094, 3923, 3387,
2589, 1686, 854, 254, 3, 151, 669, 1455, 2356, 3198,
3815, 4088, 3963, 3465, 2691, 1792, 942, 308, 12, 114,
592, 1353, 2250, 3107, 3758, 4076, 3999, 3541, 2793, 1899,
1035, 368, 27, 81, 517, 1251, 2141, 3012, 3695, 4058,
4029, 3614, 2895, 2010, 1133, 433, 48, 53, 445, 1150,
2029, 2912, 3626, 4034, 4054, 3685, 2996, 2123, 1235, 506,
76, 30, 377, 1049, 1915, 2807, 3551, 4003, 4074, 3751,
3096, 2238, 1342, 584, 110, 14, 312, 949, 1799, 2698,
3470, 3965, 4087, 3813, 3195, 2354, 1454, 669, 152, 3,
253, 851, 1682, 2584, 3382, 3920, 4094, 3870, 3292, 2472,
1569, 759, 200, 0, 198, 755, 1564, 2467, 3288, 3868,
4094, 3922, 3386, 2590, 1689, 857, 256, 4, 149, 662,
1445, 2345, 3187, 3808, 4086, 3969, 3478, 2709, 1811, 960,
320, 15, 106, 573, 1327, 2221, 3081, 3741, 4071, 4009,
3565, 2827, 1937, 1069, 391, 35, 69, 488, 1209, 2094,
2969, 3665, 4048, 4042, 3648, 2944, 2066, 1184, 470, 62,
40, 407, 1093, 1964, 2851, 3583, 4016, 4067, 3726, 3060,
2197, 1305, 557, 98, 18, 332, 978, 1832, 2728, 3492,
3975, 4085, 3799, 3173, 2329, 1430, 651, 143, 5, 262,
866, 1700, 2600, 3394, 3926, 4094, 3865, 3283, 2462, 1561,
753, 197, 0, 200, 758, 1566, 2468, 3288, 3867, 4094,
3924, 3390, 2596, 1695, 863, 261, 4, 144, 653, 1433,
2331, 3174, 3799, 4085, 3975, 3492, 2729, 1834, 980, 333,
19, 97, 554, 1300, 2191, 3054, 3722, 4066, 4018, 3589,
2861, 1975, 1104, 415, 43, 58, 460, 1169, 2048, 2927,
3635, 4037, 4052, 3680, 2991, 2120, 1234, 506, 77, 29,
372, 1040, 1902, 2793, 3540, 3997, 4077, 3764, 3119, 2266,
1371, 607, 122, 10, 292, 914, 1756, 2654, 3434, 3947,
4091, 3840, 3242, 2413, 1513, 717, 178, 1, 220, 793,
1608, 2509, 3320, 3885, 4095, 3908, 3361, 2560, 1660, 835,
244, 3, 156, 676, 1461, 2359, 3197, 3813, 4087, 3967,
3475, 2707, 1812, 962, 322, 16, 103, 566, 1315, 2206,
3066, 3730, 4068, 4015, 3582, 2852, 1967, 1097, 411, 41,
60, 462, 1171, 2050, 2928, 3635, 4036, 4053, 3682, 2995,
2125, 1240, 511, 79, 28, 367, 1030, 1891, 2781, 3530,
3992, 4079, 3773, 3133, 2284, 1389, 621, 129, 8, 280,
894, 1731, 2629, 3414, 3936, 4093, 3855, 3267, 2444, 1545,
742, 192, 0, 203, 763, 1571, 2470, 3288, 3867, 4094,
3926, 3395, 2604, 1706, 873, 268, 6, 138, 639, 1411,
2307, 3152, 3785, 4082, 3986, 3516, 2763, 1871, 1014, 356,
25, 84, 522, 1254, 2140, 3007, 3690, 4055, 4033, 3628,
2918, 2040, 1163, 457, 58, 43, 414, 1100, 1970, 2854,
3583, 4015, 4068, 3731, 3070, 2211, 1321, 571, 106, 15,
316, 951, 1798, 2693, 3463, 3960, 4089, 3824, 3216, 2383,
1486, 696, 168, 1, 229, 808, 1626, 2525, 3332, 3891,
4095, 3904, 3356, 2555, 1657, 833, 244, 3, 155, 672,
1455, 2351, 3189, 3807, 4086, 3972, 3487, 2725, 1833, 981,
335, 19, 94, 545, 1286, 2173, 3036, 3709, 4061, 4026,
3610, 2892, 2012, 1139, 441, 52, 48, 428, 1121, 1992,
2873, 3596, 4020, 4065, 3721, 3055, 2195, 1306, 561, 101,
16, 323, 961, 1808, 2702, 3469, 3963, 4088, 3820, 3211,
2378, 1482, 694, 167, 1, 230, 808, 1625, 2523, 3330,
3890, 4095, 3906, 3360, 2561, 1663, 840, 248, 3, 151,
664, 1443, 2338, 3178, 3800, 4084, 3977, 3499, 2742, 1851,
998, 346, 22, 88, 530, 1264, 2149, 3014, 3693, 4056,
4033, 3628, 2919, 2042, 1167, 461, 60, 41, 408, 1090,
1956, 2840, 3572, 4010, 4071, 3743, 3090, 2236, 1345, 590,
115, 11, 299, 923, 1762, 2657, 3434, 3945, 4092, 3845,
3253, 2430, 1533, 734, 189, 0, 205, 764, 1569, 2466,
3283, 3863, 4093, 3931, 3407, 2622, 1727, 893, 281, 8,
127, 615, 1378, 2269, 3118, 3762, 4076, 4001, 3550, 2811,
1926, 1064, 390, 35, 67, 478, 1191, 2068, 2941, 3643,
4038, 4052, 3680, 2995, 2129, 1246, 518, 83, 25, 355,
1010, 1864, 2754, 3507, 3981, 4083, 3795, 3172, 2333, 1439,
662, 150, 3, 248, 838, 1660, 2557, 3355, 3903, 4095,
3894, 3339, 2536, 1640, 821, 238, 2, 158, 677, 1458,
2352, 3188, 3805, 4085, 3975, 3494, 2737, 1847, 995, 346,
22, 87, 528, 1260, 2143, 3008, 3688, 4054, 4036, 3636,
2932, 2058, 1183, 473, 65, 37, 394, 1068, 1930, 2814,
3552, 4001, 4076, 3762, 3120, 2272, 1381, 618, 129, 7,
277, 885, 1716, 2611, 3398, 3926, 4094, 3870, 3297, 2485,
1589, 781, 215, 0, 178, 713, 1504, 2399, 3227, 3828,
4089, 3959, 3463, 2696, 1804, 960, 323, 17, 99, 555,
1296, 2181, 3040, 3710, 4061, 4027, 3614, 2901, 2025, 1153,
452, 57, 43, 412, 1094, 1959, 2841, 3571, 4009, 4072,
3748, 3098, 2247, 1359, 602, 121, 9, 287, 902, 1736,
2630, 3412, 3933, 4093, 3863, 3285, 2470, 1575, 770, 209,
0, 183, 722, 1515, 2409, 3235, 3833, 4090, 3956, 3458,
2690, 1799, 955, 321, 16, 100, 556, 1298, 2182, 3041,
3710, 4061, 4027, 3615, 2903, 2028, 1156, 455, 58, 42,
408, 1088, 1951, 2833, 3565, 4006, 4074, 3754, 3108, 2260,
1371, 611, 126, 8, 280, 889, 1720, 2613, 3398, 3925,
4094, 3872, 3301, 2491, 1596, 787, 220, 1, 173, 703,
1490, 2383, 3212, 3819, 4088, 3967, 3479, 2718, 1829, 982,
338, 21, 90, 533, 1265, 2147, 3009, 3688, 4054, 4037,
3640, 2939, 2068, 1193, 481, 69, 33, 383, 1050, 1907,
2791, 3533, 3992, 4080, 3780, 3149, 2308, 1418, 647, 144,
4, 254, 846, 1667, 2561, 3356, 3903, 4095, 3897, 3346,
2547, 1653, 835, 247, 3, 149, 657, 1430, 2321, 3159,
3786, 4081, 3989, 3526, 2781, 1897, 1041, 377, 32, 71,
486, 1200, 2075, 2944, 3643, 4038, 4053, 3686, 3007, 2145,
1264, 533, 90, 21, 337, 980, 1826, 2714, 3475, 3964,
4088, 3823, 3220, 2393, 1501, 712, 178, 0, 213, 774,
1578, 2472, 3285, 3862, 4093, 3935, 3417, 2639, 1747, 913,
295, 11, 115, 586, 1336, 2221, 3074, 3730, 4067, 4019,
3595, 2877, 2001, 1134, 441, 53, 46, 419, 1102, 1966,
2845, 3572, 4009, 4072, 3751, 3105, 2258, 1371, 612, 127,
7, 276, 882, 1709, 2601, 3387, 3919, 4094, 3880, 3318,
2513, 1620, 808, 232, 2, 160, 678, 1456, 2346, 3180,
3798, 4084, 3982, 3512, 2763, 1879, 1026, 368, 29, 74,
494, 1210, 2085, 2952, 3648, 4039, 4052, 3683, 3004, 2142,
1263, 533, 91, 20, 335, 976, 1820, 2708, 3470, 3961,
4089, 3829, 3230, 2407, 1515, 724, 185, 0, 204, 758,
1557, 2450, 3266, 3850, 4092, 3945, 3438, 2667, 1778, 940,
313, 15, 103, 561, 1301, 2183, 3039, 3707, 4059, 4030,
3624, 2919, 2048, 1177, 471, 65, 35, 388, 1055, 1911,
2793, 3533, 3991, 4080, 3783, 3157, 2320, 1431, 659, 151,
3, 243, 825, 1640, 2532, 3332, 3888, 4095, 3913, 3377,
2589, 1698, 873, 272, 7, 129, 616, 1374, 2260, 3105,
3750, 4072, 4010, 3575, 2851, 1974, 1111, 426, 48, 50,
431, 1118, 1982, 2858, 3580, 4012, 4071, 3746, 3100, 2253,
1368, 611, 127, 7, 274, 877, 1702, 2593, 3380, 3914,
4095, 3887, 3331, 2531, 1639, 825, 243, 3, 150, 657,
1428, 2316, 3153, 3780, 4080, 3994, 3539, 2801, 1921, 1065,
395, 38, 62, 462, 1163, 2031, 2903, 3612, 4025, 4063,
3720, 3059, 2207, 1325, 580, 112, 12, 296, 913, 1745,
2633, 3411, 3931, 4094, 3869, 3299, 2493, 1601, 795, 226,
1, 164, 684, 1462, 2351, 3182, 3799, 4083, 3983, 3516,
2771, 1889, 1037, 377, 32, 69, 481, 1189, 2060, 2928,
3630, 4032, 4058, 3704, 3037, 2182, 1302, 563, 105, 14,
308, 932, 1766, 2654, 3427, 3939, 4093, 3860, 3284, 2475,
1584, 781, 218, 1, 171, 696, 1476, 2365, 3194, 3805,
4085, 3979, 3508, 2760, 1878, 1028, 371, 31, 72, 487,
1196, 2067, 2934, 3634, 4033, 4057, 3701, 3033, 2178, 1298,
561, 104, 14, 309, 933, 1767, 2654, 3427, 3939, 4093,
3861, 3286, 2477, 1587, 784, 220, 1, 169, 692, 1471,
2359, 3188, 3802, 4084, 3982, 3514, 2769, 1888, 1037, 377,
33, 69, 479, 1185, 2054, 2922, 3625, 4030, 4060, 3711,
3047, 2195, 1314, 573, 110, 12, 299, 916, 1747, 2634,
3411, 3930, 4094, 3871, 3304, 2500, 1611, 803, 231, 2,
159, 672, 1445, 2331, 3165, 3787, 4081, 3991, 3535, 2797,
1919, 1064, 396, 38, 60, 457, 1154, 2020, 2890, 3602,
4020, 4067, 3732, 3079, 2232, 1350, 600, 123, 8, 279,
883, 1707, 2595, 3379, 3913, 4095, 3891, 3339, 2543, 1655,
840, 253, 4, 141, 637, 1399, 2284, 3123, 3760, 4074,
4006, 3569, 2845, 1970, 1111, 427, 49, 48, 424, 1105,
1965, 2839, 3565, 4004, 4075, 3764, 3129, 2290, 1406, 643,
144, 4, 249, 833, 1646, 2534, 3331, 3886, 4095, 3918,
3388, 2607, 1719, 894, 286, 10, 117, 588, 1334, 2215,
3063, 3721, 4063, 4026, 3616, 2911, 2043, 1176, 473, 67,
33, 379, 1039, 1889, 2768, 3512, 3980, 4085, 3805, 3195,
2369, 1482, 702, 175, 0, 211, 767, 1565, 2453, 3265,
3847, 4091, 3951, 3452, 2689, 1805, 967, 332, 20, 89,
527, 1251, 2125, 2984, 3667, 4045, 4048, 3674, 2994, 2137,
1262, 536, 93, 18, 325, 956, 1792, 2676, 3442, 3946,
4092, 3854, 3277, 2468, 1580, 780, 219, 1, 168, 688,
1464, 2350, 3179, 3795, 4082, 3987, 3528, 2790, 1913, 1061,
394, 38, 60, 456, 1150, 2013, 2883, 3596, 4017, 4069,
3740, 3094, 2251, 1370, 616, 131, 6, 265, 859, 1676,
2562, 3353, 3898, 4095, 3908, 3371, 2586, 1699, 878, 277,
8, 122, 598, 1346, 2226, 3072, 3726, 4064, 4024, 3613,
2908, 2041, 1176, 474, 67, 33, 377, 1034, 1882, 2760,
3505, 3977, 4086, 3812, 3208, 2385, 1499, 716, 183, 0,
201, 749, 1540, 2426, 3242, 3833, 4089, 3962, 3476, 2722,
1841, 999, 354, 26, 78, 499, 1211, 2080, 2942, 3637,
4034, 4058, 3705, 3041, 2191, 1314, 574, 111, 11, 293,
904, 1730, 2615, 3393, 3919, 4095, 3886, 3333, 2538, 1652,
840, 254, 5, 138, 630, 1387, 2268, 3108, 3749, 4071,
4014, 3588, 2874, 2004, 1143, 451, 59, 39, 396, 1062,
1913, 2789, 3526, 3986, 4083, 3798, 3186, 2360, 1476, 698,
174, 0, 210, 765, 1559, 2445, 3257, 3842, 4090, 3957,
3465, 2708, 1828, 988, 347, 24, 81, 505, 1219, 2087,
2948, 3641, 4035, 4057, 3703, 3039, 2189, 1313, 574, 111,
11, 292, 902, 1726, 2610, 3389, 3917, 4095, 3889, 3339,
2548, 1662, 849, 260, 6, 133, 619, 1372, 2252, 3093,
3739, 4068, 4019, 3601, 2893, 2026, 1164, 466, 65, 34,
380, 1038, 1885, 2762, 3506, 3976, 4086, 3815, 3213, 2393,
1508, 725, 189, 0, 194, 735, 1521, 2406, 3224, 3821,
4087, 3972, 3497, 2751, 1873, 1028, 374, 32, 68, 473,
1173, 2036, 2901, 3607, 4021, 4067, 3735, 3087, 2246, 1367,
615, 132, 6, 262, 851, 1664, 2549, 3340, 3889, 4095,
3918, 3391, 2614, 1730, 906, 296, 12, 109, 568, 1303,
2177, 3027, 3695, 4054, 4039, 3651, 2965, 2107, 1238, 520,
87, 21, 333, 965, 1799, 2680, 3443, 3945, 4092, 3859,
3286, 2483, 1598, 798, 230, 2, 156, 662, 1428, 2309,
3141, 3769, 4076, 4004, 3567, 2847, 1977, 1120, 437, 54,
43, 406, 1075, 1926, 2800, 3533, 3988, 4082, 3796, 3184,
2360, 1478, 701, 176, 0, 206, 755, 1546, 2430, 3242,
3832, 4089, 3965, 3484, 2734, 1857, 1015, 366, 30, 71,
480, 1181, 2044, 2908, 3611, 4023, 4066, 3733, 3086, 2246,
1368, 617, 133, 5, 259, 845, 1656, 2540, 3332, 3884,
4094, 3923, 3402, 2629, 1747, 922, 306, 14, 102, 552,
1281, 2152, 3004, 3678, 4048, 4045, 3670, 2993, 2140, 1269,
544, 98, 16, 312, 931, 1759, 2640, 3410, 3927, 4094,
3880, 3324, 2531, 1648, 839, 255, 5, 135, 622, 1373,
2251, 3090, 3736, 4067, 4022, 3609, 2906, 2043, 1181, 480,
71, 30, 364, 1012, 1852, 2729, 3479, 3962, 4090, 3837,
3251, 2441, 1558, 766, 213, 1, 169, 687, 1459, 2339,
3166, 3784, 4079, 3997, 3551, 2826, 1956, 1103, 426, 50,
46, 414, 1086, 1937, 2808, 3538, 3990, 4082, 3795, 3183,
2360, 1479, 704, 178, 0, 203, 749, 1536, 2418, 3231,
3825, 4088, 3971, 3497, 2754, 1879, 1036, 380, 35, 64,
461, 1153, 2012, 2877, 3588, 4013, 4072, 3755, 3121, 2288,
1410, 650, 150, 2, 235, 804, 1604, 2487, 3288, 3858,
4092, 3947, 3448, 2689, 1811, 977, 342, 24, 81, 504,
1213, 2077, 2936, 3630, 4030, 4062, 3719, 3067, 2225, 1350,
605, 127, 6, 265, 854, 1664, 2546, 3335, 3886, 4095,
3924, 3404, 2633, 1753, 928, 311, 16, 98, 542, 1265,
2133, 2986, 3664, 4043, 4051, 3687, 3019, 2171, 1300, 568,
110, 11, 291, 896, 1715, 2596, 3374, 3907, 4095, 3903,
3367, 2586, 1705, 888, 286, 10, 113, 574, 1308, 2180,
3027, 3692, 4053, 4041, 3660, 2980, 2127, 1259, 538, 96,
16, 313, 931, 1756, 2636, 3406, 3924, 4094, 3886, 3336,
2548, 1666, 856, 266, 7, 126, 600, 1343, 2217, 3059,
3714, 4060, 4033, 3638, 2949, 2092, 1228, 515, 86, 21,
331, 959, 1789, 2666, 3429, 3936, 4094, 3872, 3312, 2518,
1637, 832, 252, 5, 136, 620, 1370, 2244, 3083, 3729,
4064, 4026, 3621, 2925, 2067, 1205, 499, 79, 24, 344,
979, 1811, 2688, 3446, 3945, 4093, 3862, 3295, 2498, 1617,
816, 243, 3, 142, 634, 1387, 2262, 3098, 3739, 4067,
4022, 3611, 2911, 2051, 1191, 489, 75, 27, 352, 991,
1825, 2700, 3455, 3949, 4092, 3856, 3286, 2487, 1607, 808,
238, 3, 146, 641, 1395, 2271, 3105, 3743, 4068, 4020,
3606, 2905, 2045, 1185, 485, 74, 27, 354, 994, 1829,
2704, 3457, 3950, 4092, 3855, 3285, 2486, 1605, 807, 238,
3, 146, 640, 1395, 2270, 3104, 3742, 4068, 4020, 3608,
2908, 2048, 1189, 488, 75, 27, 352, 990, 1823, 2698,
3453, 3948, 4092, 3859, 3291, 2493, 1613, 814, 242, 3,
142, 633, 1385, 2259, 3094, 3736, 4066, 4023, 3616, 2919,
2061, 1201, 497, 79, 24, 343, 977, 1808, 2683, 3441,
3942, 4093, 3867, 3304, 2510, 1631, 828, 251, 5, 136,
619, 1366, 2239, 3077, 3724, 4063, 4029, 3630, 2939, 2083,
1221, 512, 85, 21, 330, 956, 1784, 2660, 3423, 3932,
4094, 3878, 3325, 2536, 1657, 850, 264, 7, 126, 599,
1339, 2210, 3051, 3707, 4057, 4037, 3649, 2967, 2115, 1251,
533, 95, 16, 312, 928, 1750, 2627, 3397, 3918, 4095,
3894, 3353, 2572, 1694, 881, 283, 10, 113, 572, 1303,
2171, 3016, 3683, 4049, 4046, 3675, 3004, 2157, 1290, 562,
108, 11, 290, 892, 1707, 2584, 3363, 3900, 4095, 3913,
3388, 2616, 1739, 919, 307, 15, 98, 539, 1258, 2122,
2973, 3653, 4038, 4056, 3705, 3048, 2207, 1337, 598, 125,
7, 263, 849, 1654, 2532, 3321, 3876, 4094, 3935, 3429,
2669, 1795, 967, 338, 23, 81, 501, 1205, 2064, 2920,
3616, 4023, 4067, 3739, 3100, 2268, 1395, 642, 147, 3,
234, 799, 1593, 2471, 3271, 3846, 4091, 3959, 3476, 2731,
1860, 1023, 375, 34, 63, 458, 1144, 1997, 2859, 3571,
4004, 4077, 3777, 3159, 2337, 1462, 694, 175, 0, 202,
742, 1523, 2400, 3212, 3810, 4084, 3984, 3529, 2801, 1934,
1089, 419, 49, 46, 411, 1076, 1920, 2787, 3518, 3979,
4086, 3818, 3225, 2415, 1538, 755, 209, 1, 168, 681,
1444, 2319, 3143, 3767, 4074, 4010, 3585, 2878, 2019, 1164,
472, 69, 30, 360, 1001, 1833, 2705, 3456, 3949, 4092,
3861, 3296, 2503, 1625, 826, 250, 5, 134, 614, 1358,
2228, 3064, 3715, 4059, 4034, 3645, 2963, 2113, 1250, 534,
96, 16, 308, 919, 1738, 2613, 3384, 3910, 4095, 3904,
3372, 2598, 1723, 907, 300, 14, 101, 544, 1264, 2127,
2975, 3654, 4038, 4057, 3707, 3054, 2216, 1347, 606, 130,
5, 255, 833, 1634, 2510, 3302, 3864, 4093, 3947, 3453,
2701, 1830, 999, 359, 30, 69, 472, 1163, 2016, 2875,
3582, 4008, 4075, 3771, 3150, 2328, 1454, 689, 173, 0,
202, 742, 1522, 2397, 3208, 3807, 4084, 3987, 3536, 2812,
1947, 1102, 429, 53, 42, 398, 1056, 1896, 2763, 3500,
3970, 4088, 3833, 3251, 2449, 1573, 784, 226, 2, 152,
649, 1402, 2273, 3103, 3740, 4067, 4024, 3620, 2928, 2075,
1217, 511, 86, 20, 325, 945, 1767, 2640, 3405, 3921,
4095, 3894, 3355, 2577, 1703, 891, 291, 12, 106, 554,
1276, 2139, 2985, 3660, 4040, 4055, 3704, 3049, 2212, 1344,
605, 130, 5, 254, 831, 1630, 2505, 3297, 3860, 4092,
3950, 3461, 2713, 1843, 1011, 368, 32, 65, 460, 1145,
1995, 2854, 3567, 4001, 4079, 3785, 3174, 2357, 1484, 713,
187, 0, 187, 715, 1486, 2359, 3175, 3786, 4079, 4001,
3566, 2854, 1994, 1144, 460, 65, 32, 368, 1010, 1841,
2711, 3459, 3949, 4092, 3862, 3301, 2510, 1635, 836, 257,
6, 127, 599, 1335, 2201, 3040, 3697, 4053, 4043, 3668,
2998, 2155, 1292, 567, 112, 10, 280, 873, 1680, 2554,
3336, 3882, 4094, 3932, 3427, 2670, 1799, 974, 344, 25,
76, 486, 1180, 2033, 2889, 3591, 4012, 4074, 3766, 3146,
2325, 1453, 690, 174, 0, 200, 736, 1512, 2385, 3197,
3799, 4082, 3994, 3551, 2834, 1974, 1127, 448, 61, 35,
377, 1023, 1856, 2724, 3468, 3954, 4092, 3857, 3293, 2501,
1627, 830, 254, 6, 129, 602, 1338, 2204, 3041, 3697,
4053, 4043, 3670, 3001, 2158, 1296, 570, 114, 9, 276,
866, 1671, 2544, 3327, 3877, 4094, 3938, 3437, 2684, 1815,
988, 354, 28, 71, 473, 1162, 2012, 2868, 3576, 4005,
4077, 3780, 3168, 2352, 1480, 712, 186, 0, 186, 711,
1480, 2351, 3167, 3780, 4077, 4005, 3577, 2870, 2014, 1163,
474, 71, 28, 352, 985, 1811, 2680, 3434, 3936, 4094,
3880, 3333, 2552, 1679, 873, 281, 10, 110, 562, 1285,
2146, 2989, 3661, 4039, 4056, 3707, 3056, 2222, 1356, 616,
136, 4, 243, 810, 1603, 2476, 3271, 3844, 4090, 3965,
3491, 2755, 1891, 1055, 399, 43, 51, 423, 1089, 1930,
2792, 3519, 3978, 4087, 3825, 3240, 2438, 1566, 781, 226,
2, 150, 642, 1390, 2257, 3087, 3727, 4062, 4031, 3640,
2960, 2114, 1256, 541, 101, 13, 296, 896, 1706, 2577,
3353, 3891, 4095, 3926, 3417, 2659, 1790, 968, 342, 25,
76, 484, 1177, 2027, 2881, 3584, 4008, 4076, 3776, 3162,
2345, 1475, 709, 185, 0, 186, 710, 1477, 2347, 3163,
3776, 4076, 4008, 3584, 2881, 2027, 1177, 485, 76, 25,
341, 966, 1788, 2657, 3415, 3925, 4095, 3893, 3356, 2583,
1712, 902, 300, 14, 98, 535, 1246, 2103, 2950, 3633,
4028, 4065, 3735, 3100, 2274, 1407, 656, 157, 1, 216,
763, 1543, 2414, 3219, 3811, 4084, 3988, 3539, 2821, 1962,
1119, 444, 60, 36, 376, 1019, 1849, 2715, 3459, 3948,
4093, 3867, 3311, 2527, 1655, 855, 271, 9, 116, 573,
1297, 2157, 2997, 3665, 4041, 4055, 3706, 3056, 2224, 1360,
620, 139, 3, 238, 800, 1589, 2460, 3256, 3834, 4088,
3973, 3509, 2781, 1920, 1082, 418, 50, 44, 400, 1054,
1888, 2751, 3487, 3962, 4091, 3849, 3282, 2492, 1621, 827,
254, 6, 127, 596, 1327, 2189, 3025, 3684, 4047, 4049,
3688, 3031, 2195, 1333, 600, 129, 5, 250, 821, 1613,
2484, 3276, 3845, 4090, 3965, 3494, 2761, 1899, 1064, 406,
46, 48, 411, 1070, 1906, 2767, 3498, 3967, 4089, 3842,
3271, 2478, 1607, 816, 248, 5, 131, 603, 1337, 2199,
3033, 3690, 4049, 4047, 3684, 3025, 2189, 1328, 597, 128,
6, 252, 824, 1616, 2486, 3277, 3846, 4090, 3965, 3494,
2761, 1900, 1065, 408, 47, 47, 409, 1066, 1901, 2762,
3495, 3965, 4090, 3846, 3277, 2486, 1616, 824, 253, 6,
127, 596, 1326, 2187, 3022, 3682, 4046, 4050, 3692, 3038,
2204, 1343, 608, 134, 4, 244, 809, 1597, 2467, 3261,
3836, 4088, 3972, 3509, 2782, 1922, 1085, 422, 52, 42,
393, 1044, 1875, 2737, 3475, 3955, 4092, 3859, 3300, 2515,
1645, 849, 268, 8, 116, 573, 1295, 2153, 2992, 3661,
4038, 4057, 3714, 3070, 2242, 1378, 636, 148, 2, 225,
777, 1558, 2427, 3227, 3815, 4085, 3987, 3539, 2823, 1967,
1126, 450, 63, 33, 366, 1002, 1827, 2691, 3439, 3937,
4094, 3882, 3340, 2565, 1697, 892, 295, 14, 99, 535,
1244, 2097, 2942, 3625, 4024, 4068, 3747, 3120, 2300, 1435,
680, 171, 0, 198, 729, 1497, 2364, 3175, 3782, 4077,
4007, 3584, 2884, 2034, 1186, 494, 81, 22, 328, 943,
1757, 2623, 3386, 3908, 4095, 3913, 3396, 2636, 1770, 954,
335, 24, 77, 484, 1173, 2019, 2871, 3574, 4002, 4079,
3790, 3188, 2381, 1513, 742, 206, 1, 164, 665, 1416,
2280, 3102, 3735, 4064, 4030, 3640, 2964, 2123, 1268, 553,
108, 11, 280, 867, 1666, 2534, 3314, 3867, 4093, 3950,
3466, 2727, 1866, 1037, 390, 41, 52, 423, 1085, 1920,
2778, 3505, 3970, 4089, 3842, 3272, 2482, 1614, 824, 254,
6, 125, 589, 1315, 2173, 3008, 3671, 4042, 4055, 3707,
3061, 2233, 1372, 632, 146, 2, 225, 776, 1555, 2422,
3222, 3811, 4084, 3990, 3548, 2837, 1983, 1142, 463, 68,
29, 352, 980, 1799, 2663, 3416, 3924, 4095, 3898, 3369,
2603, 1738, 927, 318, 20, 85, 502, 1197, 2044, 2892,
3589, 4008, 4076, 3780, 3173, 2364, 1499, 731, 200, 0,
168, 673, 1424, 2287, 3107, 3737, 4064, 4030, 3639, 2963,
2123, 1270, 556, 109, 10, 276, 860, 1657, 2524, 3305,
3861, 4092, 3956, 3478, 2743, 1884, 1054, 402, 45, 47,
408, 1062, 1893, 2752, 3484, 3959, 4091, 3857, 3299, 2516,
1649, 854, 273, 9, 111, 560, 1276, 2129, 2968, 3642,
4031, 4064, 3735, 3105, 2285, 1422, 672, 168, 0, 200,
730, 1496, 2361, 3170, 3778, 4076, 4010, 3593, 2899, 2053,
1206, 509, 88, 18, 311, 915, 1722, 2587, 3356, 3890,
4094, 3932, 3433, 2686, 1824, 1002, 368, 34, 61, 443,
1112, 1949, 2803, 3523, 3978, 4087, 3832, 3257, 2466, 1600,
814, 249, 5, 127, 593, 1319, 2175, 3008, 3670, 4041,
4056, 3711, 3069, 2244, 1384, 643, 153, 1, 216, 759,
1531, 2397, 3199, 3796, 4080, 4001, 3572, 2871, 2022, 1178,
490, 80, 22, 326, 938, 1748, 2612, 3375, 3900, 4095,
3923, 3417, 2665, 1803, 985, 357, 31, 65, 454, 1127,
1965, 2818, 3533, 3982, 4086, 3826, 3247, 2455, 1589, 806,
244, 5, 130, 598, 1325, 2181, 3013, 3673, 4042, 4055,
3710, 3067, 2243, 1383, 643, 153, 1, 215, 757, 1528,
2393, 3195, 3793, 4079, 4003, 3577, 2878, 2031, 1187, 496,
83, 20, 319, 927, 1735, 2598, 3364, 3894, 4095, 3930,
3429, 2682, 1822, 1001, 368, 34, 60, 440, 1107, 1942,
2796, 3516, 3974, 4088, 3839, 3269, 2482, 1617, 829, 259,
7, 119, 576, 1295, 2148, 2983, 3651, 4034, 4062, 3731,
3099, 2280, 1420, 671, 168, 0, 197, 724, 1487, 2350,
3159, 3770, 4073, 4016, 3607, 2921, 2079, 1231, 529, 97,
14, 292, 884, 1683, 2547, 3322, 3870, 4093, 3951, 3471,
2736, 1879, 1052, 403, 46, 46, 403, 1053, 1880, 2736,
3471, 3951, 4093, 3870, 3322, 2548, 1684, 885, 293, 14,
97, 527, 1228, 2075, 2917, 3604, 4014, 4074, 3773, 3164,
2357, 1495, 731, 201, 0, 164, 663, 1409, 2268, 3088,
3723, 4059, 4037, 3662, 2998, 2166, 1312, 590, 127, 5,
247, 810, 1593, 2456, 3247, 3825, 4086, 3984, 3538, 2827,
1976, 1139, 463, 69, 27, 345, 965, 1778, 2639, 3394,
3910, 4095, 3915, 3403, 2650, 1790, 976, 352, 30, 66,
455, 1127, 1963, 2814, 3528, 3980, 4087, 3832, 3260, 2472,
1608, 823, 256, 7, 120, 577, 1295, 2146, 2980, 3649,
4032, 4063, 3736, 3108, 2292, 1433, 682, 175, 0, 189,
708, 1466, 2326, 3137, 3755, 4069, 4024, 3627, 2951, 2113,
1264, 554, 110, 9, 271, 848, 1639, 2502, 3284, 3846,
4090, 3970, 3509, 2788, 1936, 1104, 439, 60, 34, 365,
995, 1812, 2671, 3419, 3923, 4095, 3903, 3381, 2623, 1763,
953, 337, 25, 72, 470, 1148, 1985, 2833, 3542, 3986,
4085, 3823, 3246, 2456, 1594, 812, 249, 6, 124, 584,
1304, 2156, 2988, 3653, 4034, 4062, 3733, 3105, 2289, 1430,
681, 175, 0, 189, 707, 1463, 2323, 3134, 3752, 4068,
4025, 3632, 2958, 2122, 1273, 562, 114, 8, 265, 837,
1624, 2486, 3270, 3838, 4088, 3976, 3523, 2808, 1958, 1124,
454, 66, 29, 351, 972, 1785, 2644, 3397, 3911, 4095,
3916, 3406, 2655, 1797, 983, 357, 32, 63, 446, 1112,
1945, 2795, 3513, 3972, 4089, 3845, 3282, 2501, 1639, 850,
273, 10, 108, 549, 1256, 2103, 2940, 3619, 4020, 4071,
3764, 3154, 2347, 1487, 727, 200, 0, 163, 660, 1402,
2258, 3077, 3714, 4056, 4042, 3675, 3020, 2193, 1341, 613,
139, 3, 229, 776, 1549, 2410, 3206, 3798, 4080, 4002,
3579, 2884, 2042, 1200, 509, 89, 17, 303, 898, 1696,
2557, 3327, 3871, 4093, 3952, 3475, 2746, 1893, 1067, 415,
51, 41, 385, 1024, 1843, 2699, 3439, 3933, 4094, 3893,
3366, 2606, 1747, 941, 331, 24, 75, 474, 1152, 1988,
2835, 3542, 3985, 4086, 3826, 3252, 2466, 1605, 822, 256,
7, 118, 570, 1283, 2131, 2965, 3636, 4026, 4068, 3752,
3135, 2326, 1468, 712, 192, 0, 170, 671, 1415, 2271,
3088, 3720, 4058, 4040, 3670, 3014, 2187, 1336, 610, 138,
3, 229, 776, 1548, 2408, 3204, 3796, 4079, 4004, 3583,
2891, 2051, 1209, 516, 93, 15, 296, 885, 1680, 2540,
3313, 3862, 4092, 3960, 3491, 2767, 1917, 1089, 430, 57,
35, 368, 998, 1812, 2668, 3415, 3920, 4095, 3909, 3394,
2642, 1786, 975, 353, 31, 64, 447, 1112, 1942, 2791,
3509, 3969, 4090, 3851, 3294, 2518, 1658, 867, 284, 12,
99, 530, 1227, 2070, 2908, 3595, 4009, 4077, 3788, 3191,
2393, 1535, 766, 224, 2, 142, 617, 1344, 2195, 3020,
3674, 4041, 4057, 3719, 3086, 2271, 1416, 672, 171, 0,
190, 707, 1461, 2317, 3126, 3745, 4065, 4030, 3645, 2979,
2149, 1301, 585, 126, 5, 244, 801, 1577, 2436, 3227,
3810, 4082, 3997, 3568, 2872, 2030, 1192, 504, 88, 17,
303, 897, 1692, 2551, 3321, 3866, 4092, 3958, 3487, 2764,
1914, 1088, 430, 58, 35, 367, 994, 1807, 2662, 3409,
3916, 4095, 3914, 3404, 2656, 1800, 989, 363, 34, 59,
434, 1092, 1919, 2768, 3491, 3959, 4092, 3865, 3318, 2548,
1690, 895, 302, 17, 88, 504, 1191, 2029, 2870, 3566,
3996, 4083, 3812, 3231, 2442, 1583, 807, 248, 6, 122,
577, 1290, 2137, 2967, 3636, 4026, 4068, 3755, 3142, 2337,
1481, 724, 200, 1, 161, 652, 1389, 2242, 3060, 3700,
4050, 4049, 3695, 3053, 2233, 1382, 647, 158, 1, 203,
730, 1487, 2344, 3148, 3759, 4069, 4025, 3633, 2963, 2132,
1287, 575, 121, 6, 249, 808, 1584, 2442, 3231, 3811,
4082, 3996, 3568, 2873, 2033, 1196, 508, 90, 16, 298,
887, 1680, 2537, 3309, 3859, 4091, 3965, 3502, 2784, 1937,
1109, 446, 64, 30, 350, 967, 1774, 2629, 3382, 3901,
4095, 3929, 3434, 2696, 1844, 1027, 390, 43, 48, 403,
1047, 1866, 2717, 3451, 3938, 4094, 3891, 3365, 2608, 1753,
949, 338, 27, 69, 459, 1127, 1956, 2801, 3515, 3971,
4090, 3851, 3296, 2522, 1666, 876, 291, 14, 94, 515,
1206, 2043, 2882, 3574, 3999, 4082, 3808, 3226, 2438, 1581,
806, 249, 6, 121, 573, 1284, 2128, 2958, 3629, 4023,
4070, 3764, 3157, 2356, 1500, 741, 210, 1, 151, 632,
1361, 2211, 3031, 3680, 4043, 4056, 3718, 3088, 2275, 1423,
680, 176, 0, 182, 691, 1437, 2290, 3100, 3727, 4059,
4039, 3671, 3019, 2197, 1348, 622, 146, 2, 216, 750,
1511, 2367, 3166, 3770, 4072, 4020, 3623, 2951, 2121, 1277,
569, 119, 6, 251, 809, 1584, 2440, 3228, 3809, 4082,
3999, 3575, 2884, 2047, 1210, 519, 96, 13, 287, 868,
1655, 2511, 3286, 3844, 4089, 3976, 3527, 2819, 1976, 1146,
473, 76, 23, 323, 926, 1724, 2578, 3340, 3876, 4093,
3952, 3478, 2755, 1908, 1085, 430, 58, 34, 361, 983,
1790, 2643, 3392, 3905, 4095, 3927, 3430, 2692, 1842, 1027,
391, 44, 47, 399, 1039, 1855, 2704, 3440, 3932, 4095,
3900, 3383, 2632, 1779, 973, 355, 32, 61, 436, 1093,
1917, 2763, 3484, 3955, 4093, 3873, 3336, 2573, 1719, 922,
321, 22, 76, 474, 1147, 1976, 2818, 3526, 3976, 4089,
3846, 3290, 2516, 1661, 874, 291, 14, 93, 512, 1198,
2033, 2871, 3565, 3994, 4084, 3819, 3245, 2462, 1607, 829,
263, 9, 110, 548, 1249, 2088, 2920, 3600, 4010, 4077,
3791, 3201, 2409, 1555, 787, 238, 4, 127, 585, 1297,
2140, 2967, 3634, 4024, 4070, 3764, 3158, 2359, 1506, 747,
215, 2, 145, 620, 1343, 2189, 3011, 3664, 4036, 4062,
3737, 3117, 2311, 1460, 711, 194, 0, 163, 654, 1388,
2236, 3052, 3692, 4047, 4053, 3710, 3078, 2266, 1416, 676,
175, 0, 181, 687, 1430, 2280, 3090, 3718, 4056, 4044,
3684, 3040, 2223, 1376, 645, 158, 1, 199, 719, 1470,
2322, 3126, 3742, 4063, 4034, 3659, 3004, 2183, 1337, 616,
143, 2, 216, 749, 1508, 2361, 3159, 3763, 4070, 4025,
3635, 2970, 2145, 1302, 589, 130, 4, 233, 778, 1544,
2397, 3189, 3783, 4075, 4015, 3613, 2938, 2109, 1269, 565,
118, 6, 250, 805, 1577, 2430, 3217, 3801, 4080, 4005,
3591, 2908, 2076, 1239, 542, 107, 9, 265, 831, 1608,
2461, 3243, 3817, 4083, 3996, 3570, 2880, 2046, 1211, 522,
98, 12, 280, 855, 1637, 2490, 3266, 3831, 4086, 3987,
3551, 2855, 2018, 1186, 504, 90, 15, 294, 877, 1663,
2516, 3287, 3844, 4088, 3979, 3534, 2831, 1992, 1163, 488,
83, 19, 307, 897, 1687, 2539, 3306, 3855, 4090, 3971,
3518, 2810, 1970, 1143, 473, 76, 22, 318, 915, 1708,
2560, 3323, 3865, 4091, 3964, 3503, 2791, 1949, 1125, 460,
71, 25, 329, 931, 1727, 2578, 3338, 3873, 4092, 3957,
3491, 2774, 1932, 1109, 449, 67, 27, 338, 945, 1743,
2594, 3350, 3880, 4093, 3951, 3480, 2760, 1917, 1096, 440,
63, 30, 346, 957, 1757, 2607, 3361, 3886, 4094, 3946,
3470, 2748, 1904, 1085, 433, 60, 32, 353, 967, 1768,
2618, 3369, 3891, 4094, 3943, 3463, 2738, 1894, 1076, 427,
58, 33, 358, 974, 1777, 2626, 3376, 3895, 4094, 3939,
3457, 2731, 1886, 1070, 422, 56, 35, 361, 980, 1783,
2632, 3380, 3897, 4094, 3937, 3453, 2726, 1881, 1066, 420,
55, 35, 364, 983, 1787, 2636, 3383, 3899, 4094, 3936,
3451, 2724, 1879, 1064, 418, 55, 36, 365, 985, 1788,
2637, 3383, 3899, 4094, 3936, 3451, 2724, 1879, 1064, 419,
55, 36, 364, 984, 1787, 2635, 3382, 3898, 4094, 3937,
3453, 2726, 1882, 1066, 420, 56, 35, 362, 980, 1783,
2632, 3379, 3896, 4094, 3939, 3456, 2731, 1887, 1071, 424,
57, 34, 359, 975, 1777, 2625, 3374, 3893, 4094, 3941,
3462, 2738, 1895, 1078, 429, 59, 32, 354, 968, 1768,
2616, 3367, 3889, 4094, 3945, 3469, 2747, 1905, 1087, 435,
61, 30, 348, 958, 1757, 2605, 3358, 3884, 4093, 3950,
3478, 2759, 1918, 1099, 443, 65, 28, 340, 946, 1743,
2592, 3347, 3877, 4093, 3955, 3489, 2774, 1933, 1113, 453,
69, 26, 331, 933, 1726, 2575, 3333, 3870, 4092, 3962,
3501, 2790, 1951, 1129, 465, 74, 23, 321, 917, 1707,
2557, 3318, 3861, 4091, 3969, 3515, 2809, 1972, 1147, 478,
79, 20, 310, 899, 1686, 2535, 3301, 3850, 4089, 3976,
3531, 2830, 1995, 1168, 493, 86, 17, 297, 879, 1662,
2512, 3281, 3838, 4087, 3984, 3548, 2854, 2020, 1192, 510,
94, 13, 283, 857, 1636, 2485, 3260, 3825, 4084, 3993,
3567, 2879, 2048, 1217, 529, 102, 10, 269, 834, 1607,
2457, 3236, 3810, 4081, 4002, 3587, 2907, 2079, 1246, 550,
112, 7, 254, 808, 1576, 2425, 3209, 3793, 4077, 4012,
3609, 2937, 2112, 1276, 573, 124, 5, 237, 781, 1543,
2391, 3180, 3775, 4072, 4022, 3631, 2969, 2148, 1310, 599,
136, 3, 221, 752, 1507, 2354, 3149, 3754, 4066, 4031,
3655, 3003, 2186, 1346, 626, 151, 1, 203, 722, 1469,
2315, 3115, 3732, 4059, 4041, 3680, 3039, 2227, 1385, 656,
167, 0, 185, 691, 1429, 2273, 3079, 3707, 4051, 4050,
3706, 3076, 2270, 1426, 688, 184, 0, 167, 658, 1386,
2229, 3040, 3681, 4041, 4059, 3732, 3116, 2316, 1470, 723,
204, 1, 149, 623, 1342, 2181, 2998, 3651, 4030, 4068,
3759, 3157, 2364, 1517, 761, 226, 3, 131, 588, 1295,
2132, 2953, 3620, 4016, 4075, 3786, 3199, 2414, 1567, 802,
250, 7, 114, 552, 1247, 2079, 2906, 3585, 4001, 4082,
3814, 3243, 2467, 1619, 845, 277, 12, 97, 515, 1197,
2024, 2856, 3548, 3984, 4087, 3841, 3288, 2522, 1674, 891,
306, 19, 80, 478, 1145, 1967, 2802, 3508, 3964, 4092,
3869, 3334, 2579, 1732, 940, 338, 28, 64, 440, 1092,
1907, 2746, 3465, 3942, 4094, 3896, 3381, 2638, 1793, 992,
372, 39, 50, 403, 1037, 1844, 2687, 3419, 3917, 4095,
3922, 3428, 2698, 1857, 1048, 410, 53, 37, 365, 981,
1780, 2624, 3370, 3890, 4094, 3948, 3477, 2761, 1923, 1107,
451, 69, 25, 327, 924, 1713, 2559, 3317, 3859, 4090,
3972, 3525, 2825, 1992, 1169, 496, 88, 15, 290, 866,
1644, 2490, 3261, 3825, 4084, 3995, 3573, 2891, 2064, 1234,
543, 110, 8, 254, 807, 1573, 2419, 3202, 3787, 4075,
4017, 3622, 2958, 2138, 1303, 595, 135, 3, 219, 748,
1500, 2344, 3138, 3746, 4063, 4036, 3669, 3025, 2214, 1375,
650, 164, 0, 186, 689, 1425, 2267, 3071, 3701, 4048,
4053, 3716, 3094, 2293, 1450, 709, 197, 1, 154, 630,
1349, 2187, 3001, 3652, 4029, 4068, 3762, 3163, 2374, 1529,
773, 234, 5, 124, 572, 1271, 2104, 2926, 3599, 4007,
4080, 3807, 3233, 2457, 1611, 840, 275, 12, 96, 514,
1193, 2018, 2848, 3541, 3980, 4089, 3849, 3303, 2542, 1697,
912, 320, 23, 72, 457, 1114, 1930, 2766, 3479, 3949,
4094, 3890, 3372, 2628, 1785, 987, 370, 39, 50, 402,
1034, 1839, 2680, 3413, 3913, 4095, 3928, 3441, 2716, 1877,
1067, 425, 59, 32, 348, 954, 1747, 2590, 3341, 3872,
4092, 3963, 3508, 2804, 1972, 1152, 484, 83, 17, 297,
874, 1652, 2497, 3265, 3826, 4084, 3995, 3575, 2894, 2069,
1240, 549, 113, 7, 248, 795, 1556, 2400, 3185, 3775,
4072, 4024, 3639, 2983, 2169, 1333, 619, 149, 1, 202,
717, 1459, 2300, 3099, 3719, 4054, 4048, 3701, 3073, 2271,
1430, 695, 189, 0, 160, 640, 1360, 2197, 3009, 3656,
4031, 4067, 3761, 3162, 2374, 1531, 775, 236, 5, 121,
565, 1261, 2091, 2913, 3588, 4001, 4082, 3817, 3251, 2480,
1636, 861, 289, 15, 87, 492, 1162, 1982, 2813, 3514,
3966, 4092, 3870, 3338, 2587, 1744, 953, 348, 32, 58,
423, 1063, 1871, 2709, 3434, 3924, 4095, 3918, 3423, 2695,
1856, 1050, 414, 55, 34, 356, 965, 1758, 2600, 3348,
3875, 4092, 3962, 3506, 2803, 1971, 1152, 486, 84, 16,
293, 868, 1643, 2487, 3256, 3820, 4083, 4000, 3586, 2911,
2089, 1260, 565, 121, 5, 235, 773, 1527, 2370, 3158,
3757, 4066, 4033, 3663, 3018, 2209, 1373, 651, 166, 0,
182, 680, 1411, 2249, 3053, 3687, 4042, 4059, 3735, 3124,
2331, 1490, 743, 218, 3, 134, 591, 1294, 2125, 2943,
3609, 4010, 4079, 3803, 3229, 2455, 1612, 843, 278, 13,
93, 505, 1178, 1998, 2827, 3524, 3970, 4091, 3865, 3331,
2579, 1738, 949, 346, 31, 59, 423, 1063, 1869, 2706,
3431, 3922, 4095, 3921, 3430, 2704, 1867, 1061, 422, 58,
31, 346, 949, 1738, 2580, 3331, 3865, 4091, 3971, 3525,
2829, 2000, 1180, 507, 94, 12, 275, 838, 1606, 2449,
3223, 3799, 4078, 4013, 3615, 2952, 2136, 1305, 600, 139,
2, 211, 731, 1473, 2313, 3108, 3724, 4055, 4047, 3701,
3074, 2274, 1436, 701, 194, 1, 154, 627, 1341, 2174,
2986, 3639, 4023, 4073, 3779, 3193, 2414, 1572, 810, 258,
9, 104, 528, 1209, 2032, 2857, 3546, 3981, 4089, 3852,
3309, 2554, 1712, 928, 333, 27, 64, 435, 1080, 1887,
2722, 3443, 3928, 4095, 3916, 3421, 2694, 1857, 1053, 417,
57, 33, 349, 953, 1741, 2581, 3332, 3865, 4091, 3971,
3527, 2833, 2006, 1186, 512, 97, 11, 270, 829, 1594,
2435, 3211, 3791, 4075, 4018, 3627, 2970, 2157, 1325, 616,
148, 1, 200, 710, 1447, 2284, 3082, 3705, 4049, 4054,
3720, 3105, 2310, 1471, 730, 211, 2, 138, 597, 1300,
2130, 2945, 3610, 4010, 4079, 3805, 3235, 2464, 1623, 854,
286, 15, 87, 490, 1156, 1972, 2801, 3503, 3959, 4093,
3881, 3361, 2618, 1780, 987, 372, 40, 47, 391, 1015,
1812, 2650, 3385, 3896, 4094, 3947, 3480, 2772, 1941, 1128,
470, 79, 19, 301, 878, 1652, 2492, 3258, 3819, 4082,
4002, 3593, 2923, 2105, 1278, 580, 130, 3, 221, 746,
1491, 2329, 3120, 3731, 4057, 4045, 3697, 3070, 2271, 1435,
702, 195, 1, 151, 621, 1331, 2162, 2974, 3629, 4018,
4075, 3791, 3213, 2439, 1598, 834, 274, 12, 94, 504,
1174, 1992, 2818, 3515, 3965, 4092, 3875, 3350, 2606, 1768,
977, 366, 38, 49, 396, 1021, 1819, 2655, 3389, 3897,
4094, 3946, 3479, 2771, 1941, 1129, 472, 79, 18, 299,
873, 1645, 2485, 3251, 3815, 4081, 4005, 3600, 2934, 2118,
1291, 591, 136, 2, 213, 732, 1472, 2309, 3102, 3718,
4053, 4050, 3711, 3092, 2297, 1461, 723, 208, 2, 140,
599, 1301, 2129, 2943, 3607, 4008, 4080, 3810, 3244, 2477,
1637, 867, 295, 17, 81, 475, 1134, 1946, 2775, 3482,
3947, 4094, 3897, 3389, 2655, 1820, 1023, 398, 50, 38,
363, 971, 1761, 2598, 3343, 3870, 4091, 3969, 3524, 2831,
2007, 1189, 516, 99, 10, 263, 816, 1575, 2414, 3191,
3776, 4071, 4026, 3649, 3003, 2197, 1365, 648, 166, 0,
177, 669, 1392, 2224, 3028, 3666, 4033, 4067, 3762, 3169,
2388, 1550, 795, 251, 8, 107, 532, 1211, 2031, 2853,
3540, 3977, 4090, 3860, 3327, 2578, 1741, 955, 353, 34,
54, 407, 1036, 1835, 2669, 3399, 3902, 4094, 3943, 3475,
2766, 1938, 1127, 471, 80, 18, 296, 868, 1638, 2476,
3243, 3809, 4080, 4010, 3611, 2950, 2138, 1311, 607, 145,
1, 201, 710, 1443, 2277, 3073, 3697, 4045, 4058, 3734,
3127, 2340, 1503, 758, 229, 4, 122, 562, 1251, 2074,
2892, 3568, 3990, 4087, 3842, 3296, 2541, 1704, 924, 333,
28, 62, 428, 1065, 1867, 2699, 3422, 3915, 4095, 3932,
3454, 2740, 1911, 1104, 455, 73, 21, 309, 887, 1660,
2497, 3260, 3819, 4082, 4004, 3599, 2934, 2121, 1296, 596,
139, 2, 206, 719, 1454, 2289, 3082, 3703, 4047, 4056,
3729, 3121, 2334, 1498, 754, 227, 4, 123, 564, 1253,
2075, 2892, 3568, 3990, 4087, 3843, 3299, 2545, 1709, 929,
336, 29, 60, 423, 1058, 1858, 2689, 3414, 3910, 4095,
3937, 3464, 2754, 1926, 1118, 466, 78, 19, 299, 871,
1640, 2477, 3243, 3808, 4079, 4011, 3615, 2957, 2147, 1320,
615, 149, 1, 194, 697, 1425, 2258, 3055, 3684, 4040,
4062, 3749, 3151, 2369, 1533, 783, 245, 7, 110, 537,
1215, 2033, 2853, 3539, 3976, 4090, 3864, 3334, 2590, 1755,
969, 363, 38, 49, 393, 1013, 1806, 2640, 3374, 3887,
4093, 3958, 3504, 2807, 1983, 1170, 503, 95, 12, 268,
822, 1580, 2416, 3190, 3774, 4070, 4029, 3656, 3016, 2214,
1384, 665, 177, 0, 165, 644, 1357, 2185, 2990, 3638,
4021, 4075, 3790, 3215, 2446, 1610, 847, 284, 15, 85,
482, 1141, 1950, 2775, 3480, 3945, 4094, 3902, 3401, 2674,
1843, 1046, 416, 57, 31, 340, 934, 1713, 2549, 3300,
3843, 4087, 3991, 3571, 2897, 2082, 1261, 571, 127, 3,
220, 741, 1479, 2312, 3101, 3715, 4051, 4053, 3721, 3111,
2323, 1490, 749, 225, 4, 123, 563, 1250, 2070, 2886,
3562, 3986, 4088, 3850, 3311, 2563, 1728, 947, 349, 34,
54, 405, 1030, 1825, 2656, 3386, 3894, 4094, 3953, 3496,
2797, 1974, 1163, 499, 93, 12, 270, 823, 1580, 2415,
3189, 3773, 4069, 4030, 3661, 3023, 2223, 1394, 674, 182,
0, 159, 632, 1340, 2166, 2972, 3625, 4015, 4078, 3803,
3237, 2473, 1638, 871, 300, 19, 76, 460, 1108, 1913,
2739, 3451, 3929, 4095, 3920, 3434, 2718, 1890, 1088, 446,
70, 22, 312, 889, 1659, 2494, 3254, 3814, 4080, 4009,
3612, 2955, 2147, 1323, 619, 152, 1, 189, 686, 1409,
2238, 3036, 3669, 4033, 4068, 3766, 3180, 2405, 1571, 816,
266, 11, 95, 502, 1167, 1977, 2799, 3497, 3953, 4094,
3894, 3389, 2660, 1830, 1036, 410, 56, 32, 343, 937,
1715, 2548, 3298, 3841, 4086, 3993, 3577, 2907, 2095, 1274,
583, 134, 2, 210, 723, 1455, 2286, 3077, 3697, 4044,
4059, 3741, 3142, 2361, 1528, 782, 245, 7, 108, 530,
1204, 2018, 2836, 3524, 3967, 4092, 3878, 3360, 2625, 1794,
1005, 389, 48, 38, 362, 965, 1747, 2579, 3323, 3856,
4089, 3983, 3557, 2881, 2066, 1249, 563, 124, 4, 222,
742, 1479, 2310, 3098, 3711, 4049, 4055, 3729, 3124, 2341,
1509, 766, 236, 6, 114, 542, 1219, 2034, 2851, 3535,
3972, 4091, 3871, 3350, 2612, 1782, 995, 382, 46, 40,
367, 972, 1756, 2587, 3329, 3859, 4089, 3981, 3553, 2876,
2062, 1245, 561, 123, 4, 223, 743, 1480, 2311, 3098,
3711, 4049, 4056, 3730, 3126, 2344, 1513, 770, 238, 6,
112, 537, 1213, 2027, 2844, 3529, 3969, 4092, 3876, 3358,
2623, 1793, 1005, 390, 48, 38, 359, 960, 1740, 2572,
3316, 3851, 4088, 3987, 3566, 2893, 2081, 1263, 575, 130,
3, 213, 726, 1458, 2287, 3077, 3696, 4043, 4060, 3745,
3149, 2371, 1540, 792, 252, 9, 102, 517, 1185, 1995,
2814, 3506, 3958, 4093, 3891, 3384, 2657, 1828, 1036, 411,
57, 31, 338, 927, 1702, 2533, 3285, 3832, 4084, 4000,
3594, 2932, 2124, 1304, 606, 147, 1, 193, 691, 1413,
2240, 3035, 3667, 4032, 4069, 3772, 3191, 2421, 1590, 834,
278, 14, 86, 482, 1135, 1940, 2762, 3466, 3936, 4095,
3916, 3428, 2713, 1888, 1089, 449, 72, 21, 304, 875,
1640, 2471, 3233, 3799, 4076, 4019, 3636, 2992, 2192, 1368,
656, 173, 0, 164, 639, 1346, 2169, 2971, 3622, 4012,
4079, 3811, 3252, 2495, 1664, 896, 318, 25, 65, 432,
1066, 1861, 2687, 3407, 3904, 4094, 3948, 3488, 2791, 1971,
1164, 503, 96, 11, 261, 805, 1555, 2385, 3160, 3751,
4062, 4041, 3692, 3072, 2283, 1455, 725, 213, 3, 129,
572, 1258, 2073, 2885, 3558, 3983, 4089, 3859, 3331, 2591,
1762, 980, 374, 43, 42, 372, 977, 1758, 2587, 3327,
3857, 4089, 3984, 3561, 2889, 2079, 1263, 576, 132, 2,
210, 719, 1448, 2275, 3064, 3686, 4039, 4064, 3757, 3169,
2397, 1567, 816, 268, 12, 91, 492, 1149, 1954, 2774,
3474, 3940, 4095, 3913, 3424, 2709, 1885, 1088, 449, 72,
21, 302, 871, 1633, 2463, 3225, 3793, 4075, 4023, 3646,
3007, 2210, 1386, 671, 182, 0, 155, 620, 1320, 2139,
2944, 3601, 4003, 4083, 3829, 3283, 2533, 1704, 931, 341,
32, 54, 404, 1023, 1811, 2638, 3367, 3880, 4092, 3968,
3529, 2846, 2032, 1221, 545, 117, 5, 229, 751, 1486,
2314, 3097, 3709, 4047, 4058, 3738, 3141, 2364, 1535, 791,
253, 9, 100, 511, 1174, 1980, 2797, 3492, 3949, 4094,
3904, 3408, 2690, 1866, 1072, 438, 68, 23, 310, 882,
1646, 2475, 3234, 3799, 4076, 4020, 3641, 3001, 2204, 1381,
668, 181, 0, 155, 621, 1320, 2139, 2942, 3599, 4002,
4084, 3832, 3287, 2540, 1711, 938, 347, 34, 52, 396,
1012, 1797, 2623, 3355, 3873, 4091, 3974, 3542, 2864, 2053,
1241, 561, 125, 3, 217, 731, 1460, 2286, 3072, 3691,
4040, 4063, 3756, 3168, 2398, 1569, 819, 271, 13, 89,
485, 1138, 1939, 2758, 3461, 3932, 4095, 3922, 3442, 2734,
1914, 1115, 469, 81, 16, 283, 839, 1593, 2421, 3188,
3769, 4067, 4035, 3678, 3053, 2264, 1440, 715, 208, 2,
131, 574, 1258, 2071, 2880, 3553, 3980, 4090, 3866, 3345,
2611, 1785, 1002, 390, 50, 36, 351, 944, 1717, 2544,
3290, 3833, 4084, 4002, 3600, 2944, 2141, 1323, 624, 158,
0, 178, 661, 1371, 2191, 2988, 3632, 4016, 4078, 3809,
3251, 2497, 1669, 903, 324, 27, 60, 419, 1043, 1831,
2655, 3380, 3886, 4093, 3965, 3523, 2841, 2029, 1220, 546,
117, 5, 225, 744, 1476, 2301, 3084, 3698, 4043, 4061,
3751, 3162, 2391, 1564, 816, 269, 13, 89, 484, 1136,
1936, 2754, 3457, 3930, 4095, 3926, 3450, 2746, 1927, 1128,
479, 86, 14, 273, 822, 1572, 2399, 3168, 3755, 4063,
4042, 3695, 3080, 2296, 1471, 741, 224, 4, 118, 547,
1221, 2029, 2841, 3523, 3964, 4093, 3888, 3382, 2659, 1836,
1048, 422, 62, 26, 319, 895, 1658, 2485, 3240, 3801,
4076, 4020, 3642, 3005, 2211, 1390, 677, 187, 1, 148,
605, 1297, 2112, 2916, 3579, 3991, 4087, 3851, 3320, 2582,
1757, 979, 375, 44, 40, 363, 960, 1735, 2560, 3302,
3840, 4085, 3999, 3594, 2937, 2136, 1320, 623, 157, 0,
176, 658, 1365, 2184, 2980, 3625, 4012, 4080, 3816, 3264,
2515, 1688, 921, 337, 31, 54, 402, 1017, 1801, 2624,
3354, 3870, 4090, 3978, 3551, 2879, 2072, 1261, 578, 134,
2, 203, 704, 1423, 2245, 3034, 3663, 4029, 4072, 3786,
3217, 2457, 1631, 873, 306, 22, 68, 436, 1066, 1856,
2677, 3396, 3895, 4093, 3959, 3514, 2830, 2019, 1213, 542,
116, 5, 225, 742, 1472, 2295, 3078, 3693, 4040, 4064,
3760, 3177, 2410, 1585, 835, 282, 16, 80, 465, 1106,
1901, 2719, 3429, 3913, 4095, 3943, 3484, 2791, 1977, 1175,
514, 103, 8, 244, 774, 1510, 2334, 3111, 3715, 4049,
4057, 3739, 3145, 2374, 1549, 806, 264, 12, 90, 487,
1137, 1935, 2751, 3453, 3927, 4095, 3931, 3461, 2761, 1946,
1147, 494, 94, 11, 258, 797, 1538, 2362, 3135, 3731,
4054, 4052, 3723, 3123, 2348, 1525, 786, 252, 9, 98,
503, 1158, 1958, 2773, 3469, 3935, 4095, 3922, 3445, 2742,
1925, 1129, 481, 88, 13, 267, 811, 1555, 2379, 3150,
3741, 4058, 4048, 3714, 3110, 2333, 1510, 774, 245, 8,
102, 511, 1170, 1970, 2784, 3478, 3940, 4095, 3918, 3438,
2732, 1916, 1121, 476, 86, 14, 271, 817, 1562, 2386,
3155, 3744, 4059, 4047, 3711, 3106, 2329, 1507, 772, 244,
8, 103, 513, 1171, 1972, 2785, 3478, 3940, 4095, 3918,
3438, 2733, 1917, 1122, 477, 86, 13, 270, 814, 1558,
2382, 3151, 3742, 4058, 4048, 3715, 3111, 2336, 1513, 777,
247, 9, 100, 507, 1163, 1962, 2776, 3471, 3936, 4095,
3923, 3447, 2745, 1929, 1133, 485, 90, 12, 263, 803,
1544, 2367, 3138, 3733, 4055, 4052, 3725, 3126, 2353, 1531,
792, 256, 10, 94, 494, 1145, 1942, 2756, 3456, 3927,
4095, 3931, 3463, 2766, 1953, 1154, 501, 97, 9, 251,
783, 1519, 2341, 3116, 3717, 4049, 4057, 3740, 3150, 2381,
1558, 815, 271, 14, 85, 474, 1117, 1911, 2727, 3432,
3914, 4095, 3944, 3487, 2797, 1987, 1186, 524, 108, 6,
234, 755, 1484, 2305, 3084, 3695, 4041, 4064, 3762, 3182,
2420, 1597, 847, 291, 19, 74, 448, 1080, 1869, 2686,
3401, 3896, 4093, 3960, 3518, 2839, 2031, 1227, 555, 124,
3, 213, 718, 1439, 2257, 3042, 3666, 4029, 4072, 3788,
3224, 2469, 1646, 889, 318, 26, 61, 416, 1034, 1816,
2635, 3360, 3872, 4091, 3979, 3556, 2889, 2087, 1278, 594,
144, 1, 188, 675, 1383, 2199, 2990, 3629, 4013, 4080,
3819, 3273, 2529, 1707, 940, 352, 37, 47, 379, 980,
1753, 2574, 3310, 3842, 4085, 4000, 3600, 2949, 2154, 1341,
642, 170, 0, 160, 625, 1318, 2130, 2928, 3584, 3992,
4087, 3854, 3329, 2598, 1778, 1002, 394, 52, 32, 337,
917, 1679, 2501, 3249, 3804, 4076, 4021, 3649, 3018, 2231,
1415, 700, 202, 2, 131, 569, 1244, 2049, 2854, 3529,
3965, 4093, 3891, 3392, 2677, 1861, 1074, 445, 73, 19,
292, 847, 1595, 2417, 3178, 3758, 4063, 4043, 3702, 3095,
2319, 1500, 768, 243, 8, 101, 507, 1162, 1958, 2769,
3464, 3931, 4095, 3930, 3461, 2766, 1955, 1158, 505, 100,
8, 244, 770, 1502, 2321, 3096, 3703, 4043, 4063, 3758,
3178, 2417, 1596, 848, 293, 19, 72, 443, 1071, 1856,
2672, 3388, 3888, 4092, 3968, 3535, 2863, 2060, 1254, 577,
135, 1, 196, 688, 1399, 2214, 3002, 3637, 4016, 4079,
3816, 3268, 2525, 1705, 939, 352, 38, 46, 375, 973,
1744, 2564, 3300, 3835, 4084, 4005, 3612, 2967, 2175, 1363,
660, 180, 0, 149, 603, 1288, 2095, 2895, 3559, 3980,
4091, 3873, 3363, 2642, 1825, 1044, 424, 65, 23, 307,
870, 1622, 2443, 3199, 3771, 4067, 4038, 3690, 3078, 2301,
1484, 756, 236, 7, 105, 514, 1170, 1966, 2775, 3468,
3933, 4095, 3929, 3461, 2767, 1957, 1161, 508, 102, 8,
240, 763, 1492, 2309, 3085, 3694, 4040, 4066, 3768, 3194,
2437, 1617, 867, 305, 23, 65, 425, 1045, 1826, 2642,
3363, 3873, 4090, 3980, 3561, 2898, 2100, 1293, 607, 152,
0, 177, 653, 1353, 2164, 2956, 3603, 4001, 4085, 3843,
3314, 2582, 1764, 991, 388, 51, 33, 338, 917, 1677,
2496, 3243, 3799, 4075, 4025, 3660, 3036, 2254, 1438, 721,
216, 4, 119, 543, 1208, 2007, 2813, 3496, 3947, 4095,
3914, 3435, 2734, 1923, 1132, 487, 92, 10, 255, 786,
1518, 2336, 3107, 3709, 4045, 4061, 3756, 3176, 2417, 1598,
851, 296, 20, 69, 435, 1058, 1840, 2655, 3372, 3878,
4091, 3977, 3555, 2892, 2093, 1287, 603, 150, 0, 178,
654, 1353, 2164, 2955, 3602, 4000, 4086, 3846, 3318, 2588,
1771, 999, 394, 53, 31, 331, 906, 1663, 2482, 3231,
3791, 4072, 4030, 3671, 3053, 2274, 1459, 738, 226, 5,
111, 526, 1183, 1979, 2786, 3475, 3936, 4095, 3927, 3459,
2766, 1957, 1164, 511, 104, 7, 236, 754, 1479, 2294,
3070, 3683, 4035, 4069, 3781, 3216, 2464, 1646, 892, 322,
28, 57, 403, 1011, 1785, 2601, 3328, 3851, 4087, 3996,
3595, 2947, 2155, 1346, 649, 175, 0, 152, 605, 1289,
2094, 2892, 3554, 3977, 4091, 3880, 3376, 2660, 1847, 1066,
441, 72, 19, 289, 839, 1582, 2400, 3161, 3744, 4057,
4050, 3723, 3129, 2363, 1546, 810, 270, 14, 82, 464,
1098, 1883, 2694, 3403, 3895, 4093, 3965, 3531, 2861, 2061,
1259, 583, 140, 1, 188, 672, 1374, 2184, 2972, 3613,
4004, 4084, 3839, 3309, 2578, 1762, 992, 390, 52, 32,
333, 907, 1663, 2480, 3228, 3788, 4071, 4032, 3677, 3062,
2286, 1472, 749, 234, 7, 105, 512, 1164, 1956, 2763,
3456, 3925, 4095, 3939, 3482, 2797, 1992, 1196, 536, 116,
4, 217, 721, 1436, 2249, 3029, 3653, 4022, 4077, 3808,
3260, 2518, 1702, 941, 356, 39, 43, 365, 955, 1719,
2535, 3273, 3817, 4079, 4018, 3644, 3016, 2234, 1422, 710,
210, 3, 121, 545, 1208, 2005, 2808, 3490, 3943, 4095,
3921, 3449, 2755, 1948, 1157, 507, 103, 7, 236, 753,
1475, 2288, 3064, 3677, 4032, 4071, 3789, 3230, 2483, 1667,
911, 336, 33, 50, 384, 983, 1750, 2565, 3298, 3832,
4082, 4010, 3625, 2991, 2206, 1396, 690, 199, 2, 130,
562, 1230, 2028, 2829, 3506, 3951, 4094, 3912, 3434, 2736,
1929, 1140, 495, 97, 9, 244, 765, 1490, 2303, 3076,
3686, 4035, 4069, 3782, 3220, 2472, 1657, 903, 331, 31,
52, 389, 989, 1757, 2571, 3302, 3834, 4083, 4008, 3623,
2988, 2203, 1394, 689, 199, 2, 130, 562, 1229, 2026,
2827, 3504, 3950, 4094, 3914, 3438, 2741, 1935, 1146, 500,
100, 8, 240, 758, 1481, 2293, 3067, 3679, 4032, 4071,
3789, 3231, 2486, 1671, 915, 340, 34, 48, 379, 974,
1739, 2553, 3287, 3825, 4080, 4014, 3637, 3007, 2226, 1416,
706, 209, 3, 121, 544, 1205, 2000, 2802, 3485, 3940,
4095, 3926, 3460, 2770, 1965, 1174, 521, 110, 5, 224,
732, 1448, 2258, 3036, 3657, 4023, 4076, 3809, 3262, 2524,
1709, 949, 362, 42, 40, 355, 938, 1697, 2511, 3252,
3802, 4075, 4027, 3665, 3048, 2273, 1462, 743, 231, 6,
105, 510, 1159, 1948, 2753, 3447, 3919, 4095, 3947, 3499,
2821, 2021, 1225, 560, 129, 2, 198, 687, 1391, 2198,
2982, 3618, 4006, 4084, 3840, 3313, 2585, 1773, 1004, 400,
57, 28, 318, 882, 1630, 2444, 3195, 3765, 4064, 4044,
3708, 3110, 2344, 1532, 801, 266, 14, 82, 461, 1091,
1872, 2680, 3389, 3885, 4092, 3975, 3554, 2895, 2102, 1301,
617, 159, 0, 164, 625, 1311, 2113, 2905, 3562, 3979,
4091, 3881, 3381, 2671, 1862, 1082, 455, 80, 15, 271,
807, 1539, 2351, 3116, 3712, 4045, 4063, 3763, 3192, 2440,
1627, 880, 317, 28, 57, 400, 1003, 1771, 2582, 3310,
3838, 4083, 4008, 3623, 2990, 2208, 1401, 695, 204, 3,
124, 549, 1210, 2003, 2804, 3485, 3939, 4095, 3928, 3465,
2778, 1976, 1185, 531, 115, 4, 215, 715, 1425, 2234,
3012, 3639, 4015, 4081, 3826, 3291, 2560, 1748, 984, 387,
52, 31, 328, 896, 1646, 2459, 3207, 3772, 4066, 4041,
3703, 3103, 2338, 1527, 797, 265, 13, 82, 461, 1089,
1868, 2676, 3384, 3882, 4091, 3978, 3561, 2906, 2115, 1314,
628, 166, 0, 156, 610, 1291, 2090, 2883, 3544, 3970,
4093, 3894, 3404, 2701, 1895, 1113, 478, 90, 10, 251,
775, 1498, 2309, 3078, 3685, 4034, 4071, 3789, 3233, 2491,
1679, 925, 348, 38, 44, 365, 951, 1710, 2521, 3258,
3805, 4075, 4026, 3666, 3052, 2279, 1470, 752, 238, 8,
99, 496, 1137, 1922, 2726, 3423, 3904, 4094, 3961, 3528,
2862, 2068, 1271, 595, 149, 0, 174, 642, 1331, 2132,
2920, 3571, 3983, 4090, 3877, 3376, 2666, 1859, 1082, 456,
81, 14, 267, 800, 1529, 2339, 3103, 3702, 4041, 4066,
3775, 3212, 2466, 1655, 905, 335, 33, 48, 377, 969,
1729, 2540, 3273, 3814, 4077, 4022, 3657, 3039, 2265, 1458,
742, 232, 7, 102, 502, 1145, 1930, 2733, 3428, 3907,
4094, 3959, 3525, 2859, 2065, 1269, 595, 148, 0, 173,
641, 1328, 2129, 2917, 3569, 3981, 4091, 3880, 3381, 2673,
1868, 1090, 462, 84, 13, 261, 790, 1515, 2325, 3090,
3693, 4037, 4069, 3784, 3227, 2485, 1675, 922, 347, 38,
44, 364, 948, 1704, 2515, 3252, 3800, 4074, 4030, 3675,
3065, 2296, 1488, 767, 248, 10, 92, 480, 1113, 1894,
2698, 3400, 3891, 4092, 3973, 3553, 2897, 2107, 1309, 626,
165, 0, 155, 607, 1284, 2081, 2873, 3535, 3964, 4093,
3902, 3420, 2724, 1921, 1138, 498, 100, 7, 234, 744,
1459, 2266, 3038, 3656, 4021, 4078, 3817, 3279, 2548, 1739,
978, 385, 51, 31, 326, 890, 1636, 2446, 3193, 3762,
4062, 4047, 3719, 3130, 2371, 1562, 829, 286, 19, 70,
429, 1042, 1813, 2619, 3337, 3853, 4086, 4001, 3610, 2975,
2194, 1391, 691, 202, 3, 123, 544, 1200, 1988, 2786,
3469, 3929, 4095, 3941, 3491, 2815, 2020, 1228, 565, 134,
1, 189, 667, 1361, 2162, 2945, 3588, 3990, 4089, 3869,
3364, 2653, 1848, 1074, 452, 79, 14, 267, 798, 1524,
2331, 3095, 3695, 4037, 4069, 3785, 3229, 2489, 1680, 929,
352, 40, 41, 356, 935, 1687, 2496, 3235, 3788, 4070,
4036, 3691, 3090, 2326, 1518, 793, 264, 14, 81, 454,
1077, 1851, 2656, 3365, 3869, 4089, 3990, 3588, 2946, 2163,
1362, 669, 190, 1, 132, 561, 1223, 2013, 2808, 3485,
3937, 4095, 3933, 3477, 2799, 2002, 1213, 555, 128, 2,
194, 675, 1371, 2172, 2953, 3593, 3993, 4088, 3866, 3360,
2650, 1845, 1072, 451, 79, 14, 266, 796, 1520, 2327,
3090, 3691, 4036, 4070, 3790, 3237, 2500, 1692, 939, 359,
42, 38, 347, 921, 1670, 2478, 3219, 3778, 4067, 4041,
3705, 3110, 2350, 1543, 815, 278, 17, 73, 436, 1050,
1819, 2624, 3339, 3853, 4086, 4001, 3613, 2980, 2202, 1400,
699, 208, 3, 117, 531, 1181, 1966, 2764, 3450, 3918,
4095, 3953, 3514, 2847, 2056, 1263, 593, 149, 0, 170,
632, 1315, 2111, 2898, 3552, 3972, 4093, 3895, 3410, 2713,
1913, 1133, 496, 100, 7, 232, 738, 1449, 2253, 3024,
3644, 4016, 4081, 3830, 3302, 2579, 1773, 1010, 408, 61,
23, 300, 849, 1583, 2390, 3144, 3727, 4049, 4060, 3758,
3190, 2445, 1637, 894, 330, 33, 49, 375, 962, 1717,
2524, 3256, 3801, 4073, 4031, 3680, 3076, 2311, 1506, 785,
260, 13, 82, 456, 1077, 1849, 2652, 3361, 3866, 4088,
3994, 3597, 2959, 2180, 1380, 684, 200, 2, 123, 542,
1194, 1980, 2776, 3458, 3922, 4095, 3950, 3509, 2842, 2051,
1260, 591, 148, 0, 170, 631, 1312, 2107, 2893, 3548,
3969, 4093, 3899, 3418, 2724, 1925, 1145, 505, 105, 6,
223, 724, 1430, 2232, 3005, 3630, 4009, 4084, 3843, 3323,
2606, 1802, 1036, 427, 70, 19, 282, 820, 1547, 2353,
3111, 3704, 4040, 4067, 3782, 3227, 2489, 1683, 934, 357,
42, 38, 346, 917, 1664, 2470, 3210, 3771, 4064, 4045,
3716, 3129, 2374, 1568, 837, 294, 22, 64, 413, 1016,
1778, 2583, 3304, 3830, 4081, 4016, 3647, 3029, 2260, 1458,
747, 237, 8, 95, 484, 1116, 1891, 2691, 3391, 3883,
4091, 3982, 3574, 2930, 2148, 1352, 663, 188, 1, 131,
558, 1215, 2001, 2795, 3472, 3929, 4095, 3944, 3499, 2830,
2039, 1250, 585, 145, 0, 172, 634, 1315, 2109, 2893,
3547, 3969, 4093, 3901, 3422, 2731, 1933, 1154, 513, 109,
5, 217, 712, 1414, 2213, 2987, 3616, 4002, 4086, 3855,
3344, 2632, 1831, 1062, 447, 78, 14, 265, 791, 1511,
2315, 3076, 3679, 4030, 4074, 3805, 3264, 2535, 1731, 976,
386, 53, 29, 316, 871, 1607, 2412, 3161, 3737, 4052,
4058, 3753, 3184, 2440, 1635, 894, 331, 34, 47, 369,
951, 1702, 2506, 3240, 3789, 4069, 4038, 3698, 3104, 2347,
1543, 818, 282, 19, 69, 425, 1031, 1794, 2596, 3314,
3836, 4082, 4014, 3642, 3024, 2256, 1455, 746, 237, 8,
94, 481, 1110, 1884, 2683, 3383, 3878, 4090, 3987, 3585,
2945, 2167, 1371, 679, 198, 2, 122, 539, 1189, 1971,
2765, 3448, 3915, 4094, 3958, 3526, 2867, 2081, 1290, 616,
163, 0, 153, 598, 1267, 2056, 2843, 3508, 3948, 4095,
3926, 3467, 2790, 1998, 1214, 558, 132, 1, 186, 657,
1343, 2137, 2918, 3564, 3977, 4092, 3892, 3408, 2715, 1918,
1142, 505, 105, 5, 220, 716, 1417, 2216, 2988, 3616,
4001, 4086, 3857, 3349, 2641, 1841, 1073, 455, 82, 12,
256, 775, 1490, 2291, 3055, 3663, 4023, 4078, 3821, 3291,
2569, 1767, 1009, 410, 63, 22, 292, 833, 1561, 2363,
3117, 3707, 4040, 4068, 3784, 3233, 2500, 1697, 948, 368,
47, 33, 330, 891, 1629, 2432, 3176, 3746, 4055, 4055,
3746, 3176, 2432, 1629, 891, 330, 33, 47, 368, 947,
1695, 2498, 3232, 3783, 4067, 4041, 3708, 3120, 2367, 1565,
837, 295, 23, 61, 405, 1002, 1759, 2561, 3283, 3816,
4077, 4026, 3671, 3066, 2305, 1504, 787, 264, 14, 77,
443, 1055, 1820, 2620, 3331, 3846, 4084, 4009, 3633, 3013,
2245, 1447, 741, 235, 8, 94, 480, 1107, 1878, 2676,
3376, 3873, 4089, 3992, 3596, 2962, 2188, 1393, 698, 210,
4, 112, 517, 1157, 1934, 2728, 3418, 3897, 4093, 3974,
3560, 2913, 2134, 1342, 657, 187, 1, 130, 553, 1205,
1987, 2778, 3456, 3919, 4094, 3956, 3524, 2866, 2083, 1294,
620, 166, 0, 148, 588, 1251, 2037, 2824, 3492, 3938,
4095, 3938, 3490, 2822, 2034, 1249, 586, 148, 0, 167,
621, 1295, 2084, 2867, 3525, 3956, 4094, 3919, 3457, 2779,
1989, 1208, 555, 131, 1, 185, 654, 1336, 2128, 2907,
3555, 3971, 4093, 3901, 3426, 2739, 1946, 1169, 526, 117,
3, 202, 684, 1375, 2169, 2944, 3582, 3985, 4091, 3884,
3396, 2701, 1906, 1133, 500, 104, 6, 220, 714, 1412,
2207, 2978, 3607, 3997, 4088, 3867, 3367, 2666, 1870, 1101,
477, 93, 9, 236, 741, 1446, 2243, 3010, 3629, 4007,
4085, 3851, 3341, 2633, 1836, 1071, 455, 83, 12, 252,
766, 1477, 2275, 3038, 3650, 4016, 4081, 3836, 3317, 2603,
1805, 1044, 436, 75, 15, 266, 790, 1506, 2304, 3064,
3668, 4024, 4078, 3822, 3294, 2576, 1777, 1019, 419, 68,
19, 280, 812, 1532, 2331, 3087, 3684, 4031, 4074, 3809,
3274, 2551, 1752, 998, 404, 61, 22, 293, 831, 1555,
2355, 3107, 3698, 4036, 4071, 3797, 3255, 2529, 1730, 979,
391, 56, 26, 304, 848, 1576, 2375, 3125, 3710, 4041,
4068, 3786, 3239, 2510, 1711, 962, 380, 52, 29, 314,
863, 1593, 2393, 3140, 3720, 4045, 4065, 3777, 3225, 2494,
1694, 948, 370, 48, 31, 322, 876, 1608, 2408, 3153,
3729, 4048, 4062, 3769, 3214, 2480, 1681, 937, 363, 46,
34, 329, 886, 1621, 2420, 3163, 3735, 4051, 4060, 3763,
3205, 2469, 1670, 928, 357, 43, 36, 334, 894, 1630,
2429, 3170, 3740, 4052, 4059, 3759, 3198, 2462, 1662, 922,
353, 42, 37, 338, 900, 1636, 2436, 3176, 3744, 4054,
4058, 3756, 3193, 2456, 1657, 918, 350, 41, 38, 340,
903, 1640, 2439, 3178, 3746, 4054, 4057, 3754, 3191, 2454,
1655, 916, 349, 41, 38, 341, 904, 1641, 2440, 3179,
3746, 4054, 4057, 3754, 3192, 2455, 1656, 917, 350, 41,
38, 340, 902, 1639, 2437, 3177, 3744, 4054, 4058, 3756,
3194, 2458, 1660, 920, 352, 42, 37, 338, 898, 1634,
2432, 3172, 3741, 4052, 4059, 3759, 3200, 2465, 1666, 926,
356, 43, 35, 333, 892, 1626, 2425, 3165, 3736, 4051,
4060, 3764, 3207, 2474, 1675, 934, 362, 45, 34, 328,
883, 1616, 2414, 3156, 3730, 4048, 4063, 3771, 3217, 2486,
1688, 944, 369, 48, 31, 321, 872, 1602, 2400, 3144,
3722, 4045, 4065, 3779, 3229, 2500, 1703, 957, 378, 52,
29, 312, 859, 1586, 2384, 3130, 3712, 4041, 4068, 3788,
3244, 2518, 1721, 973, 389, 56, 25, 302, 843, 1567,
2364, 3113, 3700, 4037, 4071, 3799, 3260, 2538, 1741, 991,
401, 61, 22, 291, 825, 1546, 2342, 3094, 3687, 4031,
4075, 3811, 3279, 2561, 1765, 1012, 416, 67, 19, 278,
805, 1521, 2317, 3072, 3671, 4024, 4078, 3824, 3300, 2587,
1792, 1035, 432, 74, 15, 264, 783, 1494, 2289, 3047,
3653, 4017, 4082, 3838, 3324, 2616, 1821, 1062, 451, 83,
12, 249, 759, 1464, 2258, 3019, 3634, 4008, 4085, 3854,
3349, 2647, 1854, 1090, 472, 92, 8, 233, 733, 1432,
2224, 2989, 3612, 3998, 4088, 3870, 3376, 2680, 1889, 1122,
495, 103, 5, 217, 705, 1397, 2187, 2956, 3587, 3986,
4091, 3887, 3404, 2717, 1928, 1157, 521, 116, 3, 199,
676, 1359, 2147, 2920, 3560, 3972, 4093, 3904, 3435, 2755,
1969, 1194, 549, 130, 1, 182, 644, 1319, 2104, 2881,
3531, 3957, 4094, 3922, 3467, 2797, 2013, 1235, 580, 146,
0, 164, 612, 1277, 2058, 2838, 3499, 3940, 4095, 3941,
3500, 2840, 2060, 1279, 613, 164, 0, 145, 578, 1232,
2010, 2793, 3464, 3921, 4094, 3959, 3535, 2886, 2110, 1326,
650, 185, 1, 127, 543, 1185, 1958, 2745, 3426, 3899,
4092, 3977, 3570, 2934, 2163, 1376, 689, 208, 4, 109,
506, 1137, 1904, 2693, 3385, 3875, 4089, 3995, 3607, 2984,
2219, 1429, 732, 233, 8, 91, 470, 1086, 1847, 2639,
3341, 3848, 4084, 4012, 3644, 3035, 2278, 1485, 777, 261,
15, 75, 432, 1033, 1787, 2580, 3293, 3818, 4076, 4028,
3682, 3089, 2339, 1545, 827, 293, 23, 59, 394, 979,
1725, 2519, 3242, 3786, 4067, 4044, 3720, 3144, 2402, 1608,
879, 327, 34, 44, 356, 923, 1660, 2454, 3188, 3749,
4055, 4057, 3757, 3200, 2469, 1674, 936, 365, 47, 31,
319, 867, 1592, 2387, 3130, 3710, 4040, 4070, 3795, 3257,
2537, 1744, 996, 406, 64, 20, 282, 809, 1523, 2315,
3068, 3667, 4022, 4080, 3832, 3315, 2608, 1816, 1060, 451,
83, 11, 245, 750, 1451, 2241, 3002, 3620, 4000, 4088,
3868, 3374, 2681, 1892, 1127, 501, 107, 4, 210, 691,
1377, 2163, 2932, 3568, 3976, 4093, 3902, 3433, 2756, 1972,
1199, 554, 133, 1, 176, 632, 1301, 2083, 2859, 3513,
3947, 4095, 3935, 3492, 2832, 2054, 1274, 611, 164, 0,
144, 573, 1224, 1999, 2781, 3453, 3914, 4094, 3967, 3551,
2910, 2139, 1354, 674, 200, 3, 114, 515, 1146, 1913,
2700, 3389, 3876, 4089, 3995, 3609, 2988, 2226, 1437, 740,
239, 10, 86, 457, 1067, 1824, 2614, 3320, 3834, 4080,
4021, 3666, 3068, 2317, 1525, 812, 284, 21, 62, 401,
987, 1732, 2525, 3246, 3787, 4067, 4044, 3721, 3148, 2409,
1616, 888, 334, 37, 41, 346, 907, 1639, 2432, 3167,
3734, 4049, 4063, 3775, 3228, 2504, 1711, 969, 389, 57,
24, 294, 827, 1543, 2335, 3083, 3677, 4026, 4078, 3826,
3308, 2600, 1810, 1055, 449, 83, 11, 244, 748, 1446,
2234, 2995, 3613, 3997, 4089, 3875, 3387, 2698, 1912, 1146,
516, 115, 3, 198, 669, 1348, 2131, 2901, 3544, 3962,
4094, 3919, 3464, 2797, 2018, 1243, 588, 152, 0, 154,
592, 1248, 2024, 2803, 3469, 3922, 4094, 3961, 3540, 2897,
2126, 1343, 666, 196, 3, 116, 518, 1148, 1914, 2699,
3387, 3875, 4089, 3997, 3614, 2996, 2237, 1449, 751, 246,
12, 81, 445, 1049, 1802, 2591, 3300, 3821, 4077, 4029,
3685, 3096, 2350, 1559, 841, 304, 27, 52, 376, 950,
1687, 2479, 3206, 3760, 4058, 4055, 3752, 3195, 2466, 1674,
938, 368, 49, 29, 311, 852, 1571, 2362, 3106, 3692,
4032, 4075, 3816, 3292, 2582, 1793, 1041, 440, 79, 12,
250, 755, 1454, 2242, 3000, 3616, 3998, 4088, 3874, 3387,
2700, 1915, 1150, 519, 117, 3, 194, 661, 1336, 2117,
2888, 3533, 3956, 4095, 3927, 3479, 2818, 2041, 1265, 606,
163, 0, 143, 571, 1218, 1990, 2770, 3442, 3906, 4093,
3974, 3568, 2935, 2170, 1386, 701, 217, 6, 99, 484,
1101, 1860, 2647, 3344, 3848, 4083, 4015, 3653, 3052, 2301,
1512, 803, 280, 20, 63, 401, 985, 1728, 2518, 3238,
3780, 4064, 4048, 3733, 3167, 2434, 1643, 913, 352, 44,
34, 324, 872, 1594, 2384, 3124, 3704, 4036, 4073, 3807,
3279, 2568, 1779, 1030, 433, 76, 13, 253, 761, 1460,
2246, 3003, 3618, 3998, 4088, 3874, 3388, 2703, 1919, 1155,
524, 119, 2, 190, 654, 1325, 2105, 2875, 3523, 3950,
4095, 3935, 3493, 2837, 2063, 1286, 623, 172, 1, 134,
551, 1192, 1960, 2740, 3418, 3892, 4091, 3986, 3593, 2969,
2209, 1424, 732, 236, 10, 86, 455, 1060, 1812, 2599,
3305, 3823, 4077, 4029, 3686, 3100, 2357, 1568, 851, 311,
30, 48, 364, 931, 1663, 2453, 3182, 3743, 4051, 4062,
3773, 3227, 2507, 1718, 978, 397, 61, 21, 282, 805,
1513, 2301, 3051, 3651, 4014, 4084, 3851, 3351, 2656, 1872,
1113, 493, 105, 5, 208, 685, 1364, 2145, 2911, 3549,
3964, 4094, 3920, 3468, 2805, 2030, 1257, 601, 161, 0,
144, 570, 1216, 1985, 2764, 3436, 3902, 4092, 3979, 3580,
2952, 2191, 1408, 720, 229, 8, 90, 463, 1070, 1823,
2609, 3312, 3827, 4078, 4027, 3683, 3096, 2354, 1566, 849,
310, 30, 48, 363, 928, 1660, 2448, 3177, 3739, 4050,
4063, 3778, 3236, 2517, 1729, 989, 405, 65, 19, 274,
792, 1496, 2282, 3033, 3638, 4007, 4086, 3862, 3370, 2681,
1898, 1138, 512, 114, 3, 195, 661, 1333, 2111, 2879,
3525, 3951, 4095, 3936, 3496, 2843, 2071, 1296, 632, 178,
1, 127, 538, 1173, 1937, 2717, 3398, 3879, 4089, 3996,
3615, 3001, 2246, 1462, 764, 257, 14, 73, 424, 1016,
1760, 2547, 3260, 3793, 4068, 4044, 3724, 3155, 2423, 1635,
909, 350, 44, 33, 321, 865, 1583, 2371, 3110, 3692,
4031, 4076, 3821, 3303, 2600, 1815, 1064, 459, 89, 9,
230, 720, 1407, 2189, 2949, 3576, 3977, 4093, 3906, 3444,
2775, 1999, 1230, 582, 151, 0, 152, 585, 1233, 2003,
2778, 3446, 3907, 4093, 3976, 3575, 2947, 2186, 1405, 719,
229, 8, 89, 459, 1064, 1814, 2599, 3302, 3820, 4076,
4032, 3694, 3114, 2376, 1589, 870, 325, 35, 42, 345,
900, 1625, 2412, 3145, 3716, 4040, 4070, 3802, 3274, 2565,
1779, 1033, 437, 79, 12, 245, 745, 1436, 2219, 2975,
3595, 3986, 4091, 3894, 3425, 2752, 1975, 1209, 566, 143,
0, 160, 598, 1251, 2021, 2795, 3458, 3914, 4094, 3971,
3565, 2935, 2174, 1394, 711, 225, 8, 92, 464, 1070,
1821, 2604, 3306, 3822, 4076, 4031, 3693, 3113, 2375, 1589,
871, 326, 35, 41, 343, 897, 1620, 2406, 3139, 3711,
4038, 4072, 3807, 3282, 2575, 1791, 1044, 446, 83, 10,
238, 732, 1420, 2201, 2959, 3583, 3980, 4092, 3904, 3441,
2773, 1999, 1231, 584, 152, 0, 150, 579, 1224, 1991,
2766, 3436, 3900, 4092, 3983, 3588, 2966, 2209, 1429, 739,
242, 11, 80, 439, 1035, 1780, 2564, 3272, 3800, 4070,
4042, 3720, 3152, 2421, 1636, 911, 353, 45, 32, 315,
854, 1568, 2353, 3093, 3679, 4025, 4080, 3835, 3328, 2632,
1850, 1098, 485, 102, 5, 209, 683, 1359, 2135, 2899,
3537, 3956, 4095, 3932, 3492, 2839, 2070, 1298, 636, 181,
1, 123, 527, 1155, 1914, 2693, 3377, 3865, 4086, 4008,
3641, 3039, 2292, 1509, 805, 284, 22, 58, 386, 959,
1691, 2476, 3198, 3751, 4053, 4061, 3772, 3230, 2515, 1730,
992, 410, 68, 17, 264, 774, 1470, 2252, 3003, 3614,
3995, 4090, 3884, 3409, 2734, 1958, 1195, 557, 139, 0,
163, 602, 1254, 2022, 2794, 3456, 3912, 4093, 3975, 3573,
2947, 2189, 1411, 726, 235, 10, 84, 447, 1044, 1789,
2572, 3278, 3803, 4070, 4041, 3719, 3151, 2422, 1638, 913,
356, 46, 30, 311, 846, 1557, 2341, 3081, 3670, 4020,
4082, 3844, 3343, 2652, 1873, 1119, 501, 110, 3, 196,
661, 1329, 2103, 2868, 3513, 3943, 4095, 3947, 3520, 2877,
2113, 1339, 669, 201, 4, 106, 493, 1108, 1861, 2641,
3334, 3838, 4080, 4024, 3678, 3094, 2355, 1572, 859, 319,
33, 43, 346, 898, 1619, 2402, 3134, 3706, 4036, 4074,
3815, 3297, 2596, 1815, 1068, 464, 92, 7, 221, 702,
1380, 2156, 2916, 3549, 3962, 4094, 3927, 3485, 2832, 2064,
1294, 634, 181, 2, 122, 524, 1149, 1905, 2683, 3367,
3859, 4085, 4013, 3653, 3058, 2316, 1534, 827, 299, 27,
51, 366, 928, 1654, 2437, 3163, 3726, 4044, 4069, 3798,
3272, 2566, 1784, 1041, 445, 84, 10, 234, 723, 1406,
2182, 2939, 3566, 3971, 4094, 3918, 3468, 2811, 2042, 1274,
619, 173, 1, 128, 536, 1165, 1923, 2699, 3380, 3866,
4086, 4008, 3644, 3046, 2303, 1522, 817, 293, 25, 53,
372, 936, 1662, 2445, 3170, 3730, 4045, 4068, 3796, 3268,
2562, 1781, 1039, 444, 83, 10, 234, 723, 1405, 2182,
2938, 3565, 3970, 4094, 3919, 3471, 2815, 2047, 1279, 623,
176, 1, 125, 530, 1157, 1913, 2689, 3372, 3861, 4085,
4012, 3652, 3058, 2317, 1536, 830, 301, 28, 49, 362,
921, 1644, 2426, 3153, 3719, 4040, 4071, 3807, 3286, 2584,
1804, 1060, 459, 91, 7, 222, 703, 1379, 2154, 2913,
3545, 3959, 4095, 3931, 3494, 2845, 2080, 1310, 648, 190,
3, 114, 507, 1124, 1876, 2654, 3342, 3842, 4081, 4023,
3677, 3093, 2357, 1576, 864, 324, 35, 40, 337, 883,
1599, 2381, 3113, 3691, 4029, 4078, 3831, 3325, 2632, 1855,
1105, 493, 107, 4, 198, 662, 1328, 2099, 2862, 3506,
3938, 4095, 3953, 3534, 2899, 2139, 1366, 693, 216, 7,
94, 466, 1068, 1813, 2592, 3291, 3810, 4072, 4039, 3717,
3151, 2425, 1644, 921, 363, 50, 27, 299, 825, 1529,
2308, 3050, 3645, 4008, 4086, 3868, 3384, 2706, 1932, 1175,
545, 134, 0, 165, 604, 1252, 2016, 2785, 3446, 3904,
4092, 3983, 3592, 2976, 2226, 1449, 760, 258, 16, 69,
410, 989, 1722, 2503, 3217, 3761, 4056, 4059, 3770, 3230,
2519, 1739, 1003, 420, 73, 14, 249, 746, 1432, 2208,
2960, 3580, 3977, 4093, 3913, 3461, 2804, 2037, 1272, 619,
174, 1, 125, 529, 1153, 1907, 2681, 3364, 3855, 4084,
4017, 3664, 3076, 2339, 1560, 851, 316, 33, 42, 342,
890, 1606, 2386, 3117, 3692, 4029, 4078, 3832, 3328, 2637,
1861, 1112, 499, 110, 3, 192, 651, 1312, 2080, 2843,
3491, 3929, 4095, 3963, 3553, 2925, 2169, 1396, 718, 232,
10, 83, 441, 1032, 1771, 2549, 3255, 3786, 4064, 4050,
3746, 3195, 2478, 1698, 969, 397, 64, 18, 267, 774,
1465, 2241, 2989, 3600, 3987, 4092, 3901, 3441, 2779, 2011,
1249, 602, 165, 0, 133, 543, 1170, 1925, 2698, 3376,
3862, 4085, 4013, 3656, 3066, 2328, 1550, 844, 312, 32,
43, 345, 894, 1610, 2389, 3118, 3693, 4029, 4078, 3833,
3330, 2641, 1866, 1117, 503, 113, 3, 188, 643, 1302,
2068, 2831, 3481, 3923, 4094, 3969, 3565, 2942, 2189, 1416,
734, 242, 12, 76, 426, 1010, 1744, 2522, 3232, 3770,
4059, 4057, 3764, 3223, 2511, 1733, 1000, 419, 73, 13,
247, 742, 1425, 2198, 2950, 3571, 3971, 4094, 3920, 3476,
2825, 2062, 1296, 639, 186, 2, 114, 505, 1119, 1868,
2642, 3331, 3833, 4078, 4029, 3694, 3121, 2392, 1614, 899,
349, 45, 30, 307, 836, 1539, 2316, 3054, 3647, 4008,
4087, 3870, 3391, 2717, 1946, 1191, 559, 142, 0, 154,
582, 1221, 1980, 2748, 3415, 3885, 4089, 3999, 3626, 3026,
2284, 1508, 810, 291, 25, 52, 366, 923, 1643, 2421,
3145, 3710, 4036, 4075, 3821, 3311, 2618, 1844, 1099, 490,
107, 3, 195, 654, 1314, 2080, 2841, 3488, 3926, 4094,
3967, 3562, 2939, 2188, 1416, 735, 244, 13, 75, 422,
1003, 1735, 2512, 3222, 3763, 4056, 4060, 3773, 3238, 2531,
1754, 1020, 434, 80, 10, 234, 720, 1397, 2167, 2920,
3548, 3959, 4095, 3935, 3504, 2862, 2103, 1336, 672, 206,
5, 99, 473, 1074, 1816, 2591, 3287, 3805, 4070, 4043,
3729, 3172, 2454, 1677, 953, 387, 60, 20, 271, 779,
1469, 2242, 2988, 3598, 3984, 4092, 3906, 3451, 2795, 2031,
1269, 620, 176, 1, 121, 519, 1136, 1885, 2657, 3341,
3839, 4079, 4027, 3690, 3116, 2389, 1612, 898, 350, 46,
30, 304, 829, 1530, 2305, 3043, 3638, 4004, 4088, 3879,
3407, 2739, 1971, 1215, 578, 153, 0, 142, 558, 1188,
1942, 2711, 3384, 3866, 4085, 4012, 3657, 3070, 2335, 1560,
855, 321, 35, 39, 332, 871, 1579, 2355, 3086, 3668,
4018, 4084, 3857, 3370, 2693, 1924, 1172, 546, 136, 0,
159, 589, 1229, 1986, 2752, 3417, 3885, 4089, 4000, 3630,
3033, 2294, 1520, 822, 299, 28, 47, 353, 903, 1617,
2392, 3119, 3691, 4027, 4079, 3840, 3343, 2659, 1889, 1140,
523, 124, 1, 172, 612, 1259, 2018, 2782, 3440, 3899,
4091, 3991, 3611, 3007, 2265, 1492, 799, 285, 24, 53,
369, 925, 1642, 2418, 3140, 3706, 4034, 4076, 3828, 3324,
2637, 1866, 1120, 508, 116, 2, 181, 627, 1278, 2038,
2800, 3454, 3907, 4092, 3985, 3599, 2992, 2248, 1476, 786,
277, 22, 57, 377, 937, 1656, 2431, 3152, 3713, 4037,
4075, 3822, 3315, 2627, 1855, 1111, 501, 113, 2, 184,
633, 1285, 2046, 2807, 3459, 3909, 4093, 3983, 3596, 2987,
2244, 1472, 783, 275, 21, 57, 378, 939, 1658, 2433,
3152, 3714, 4037, 4075, 3822, 3316, 2628, 1857, 1113, 503,
114, 2, 183, 630, 1281, 2041, 2802, 3455, 3907, 4092,
3985, 3600, 2994, 2251, 1480, 790, 280, 22, 55, 373,
930, 1647, 2422, 3143, 3707, 4034, 4076, 3829, 3326, 2641,
1871, 1126, 513, 119, 1, 176, 619, 1266, 2024, 2786,
3442, 3899, 4091, 3991, 3613, 3011, 2271, 1500, 806, 290,
26, 50, 360, 911, 1625, 2399, 3122, 3693, 4028, 4080,
3841, 3346, 2666, 1897, 1150, 531, 129, 1, 165, 598,
1239, 1995, 2758, 3420, 3886, 4089, 4001, 3633, 3039, 2303,
1531, 833, 308, 31, 43, 341, 882, 1590, 2363, 3092,
3671, 4018, 4084, 3859, 3375, 2702, 1936, 1185, 558, 143,
0, 149, 570, 1201, 1953, 2719, 3388, 3867, 4085, 4013,
3661, 3078, 2348, 1575, 870, 332, 40, 34, 315, 844,
1544, 2316, 3050, 3640, 4004, 4088, 3882, 3413, 2750, 1987,
1232, 594, 163, 0, 130, 533, 1152, 1899, 2667, 3346,
3841, 4079, 4028, 3695, 3126, 2404, 1631, 917, 365, 52,
24, 284, 796, 1486, 2256, 2996, 3601, 3985, 4092, 3909,
3459, 2809, 2050, 1291, 640, 189, 3, 108, 490, 1094,
1833, 2603, 3294, 3807, 4070, 4044, 3734, 3184, 2472, 1700,
977, 406, 69, 14, 249, 740, 1417, 2183, 2931, 3552,
3960, 4095, 3938, 3513, 2878, 2126, 1362, 696, 222, 8,
85, 440, 1025, 1755, 2527, 3230, 3765, 4056, 4061, 3779,
3251, 2552, 1781, 1048, 457, 92, 6, 210, 676, 1337,
2098, 2853, 3493, 3927, 4094, 3970, 3572, 2958, 2214, 1446,
764, 264, 19, 61, 386, 947, 1665, 2437, 3154, 3713,
4036, 4076, 3827, 3325, 2642, 1875, 1131, 518, 123, 1,
170, 606, 1246, 2001, 2762, 3422, 3886, 4089, 4002, 3637,
3046, 2314, 1543, 844, 317, 35, 39, 328, 862, 1564,
2335, 3065, 3650, 4008, 4087, 3877, 3407, 2743, 1981, 1228,
592, 162, 0, 129, 530, 1147, 1891, 2658, 3338, 3835,
4078, 4032, 3705, 3143, 2425, 1653, 938, 380, 59, 20,
269, 770, 1453, 2220, 2962, 3575, 3971, 4094, 3927, 3493,
2854, 2100, 1339, 679, 213, 7, 90, 452, 1039, 1770,
2540, 3240, 3771, 4058, 4059, 3775, 3246, 2547, 1777, 1046,
456, 93, 6, 209, 673, 1331, 2091, 2845, 3486, 3923,
4094, 3975, 3582, 2972, 2231, 1464, 780, 275, 22, 55,
371, 925, 1638, 2408, 3128, 3694, 4028, 4080, 3844, 3354,
2679, 1914, 1168, 547, 138, 0, 152, 572, 1202, 1951,
2714, 3382, 3862, 4084, 4018, 3673, 3098, 2374, 1604, 896,
352, 48, 27, 292, 806, 1495, 2263, 3000, 3602, 3985,
4093, 3911, 3466, 2820, 2064, 1306, 654, 198, 4, 100,
471, 1065, 1798, 2567, 3262, 3785, 4062, 4054, 3763, 3228,
2527, 1757, 1029, 445, 88, 7, 216, 683, 1344, 2104,
2856, 3494, 3927, 4094, 3972, 3578, 2967, 2226, 1460, 777,
274, 22, 55, 371, 924, 1635, 2405, 3124, 3691, 4026,
4081, 3848, 3361, 2689, 1925, 1179, 556, 143, 0, 146,
561, 1186, 1932, 2695, 3366, 3851, 4082, 4024, 3688, 3119,
2400, 1630, 920, 368, 54, 22, 276, 780, 1463, 2228,
2969, 3578, 3972, 4094, 3927, 3494, 2857, 2106, 1347, 686,
218, 8, 86, 441, 1023, 1749, 2518, 3220, 3757, 4052,
4065, 3792, 3274, 2582, 1815, 1081, 483, 106, 3, 189,
637, 1283, 2038, 2794, 3445, 3899, 4091, 3995, 3624, 3031,
2299, 1532, 837, 313, 34, 39, 327, 858, 1557, 2324,
3053, 3640, 4002, 4089, 3888, 3427, 2772, 2014, 1262, 620,
179, 2, 113, 497, 1100, 1836, 2602, 3290, 3802, 4068,
4048, 3747, 3206, 2502, 1733, 1009, 432, 82, 9, 223,
695, 1357, 2116, 2866, 3500, 3930, 4094, 3970, 3576, 2965,
2226, 1462, 780, 276, 22, 54, 366, 915, 1624, 2392,
3112, 3681, 4021, 4083, 3858, 3378, 2711, 1951, 1204, 575,
155, 0, 134, 537, 1153, 1895, 2658, 3335, 3831, 4076,
4035, 3715, 3160, 2448, 1680, 964, 400, 68, 15, 247,
733, 1404, 2166, 2910, 3534, 3948, 4095, 3954, 3544, 2924,
2181, 1419, 745, 255, 16, 64, 390, 949, 1663, 2431,
3145, 3705, 4031, 4079, 3841, 3350, 2677, 1915, 1172, 552,
142, 0, 146, 559, 1182, 1926, 2687, 3358, 3845, 4080,
4029, 3699, 3137, 2422, 1655, 942, 385, 62, 17, 258,
750, 1425, 2187, 2929, 3548, 3955, 4095, 3947, 3532, 2909,
2165, 1404, 733, 248, 15, 67, 398, 960, 1675, 2443,
3154, 3711, 4033, 4077, 3836, 3344, 2670, 1908, 1166, 548,
140, 0, 147, 562, 1184, 1928, 2689, 3359, 3846, 4080,
4029, 3699, 3138, 2424, 1657, 945, 387, 63, 17, 256,
746, 1419, 2180, 2922, 3542, 3952, 4095, 3951, 3539, 2919,
2176, 1415, 743, 254, 16, 64, 389, 947, 1659, 2426,
3140, 3700, 4029, 4080, 3846, 3360, 2689, 1929, 1186, 563,
148, 0, 139, 545, 1162, 1903, 2664, 3339, 3833, 4076,
4036, 3716, 3163, 2454, 1687, 972, 406, 71, 13, 240,
720, 1386, 2145, 2890, 3517, 3938, 4095, 3964, 3566, 2954,
2216, 1454, 775, 274, 22, 54, 364, 910, 1616, 2382,
3101, 3673, 4017, 4085, 3868, 3396, 2736, 1979, 1231, 598,
168, 1, 120, 509, 1114, 1849, 2612, 3295, 3805, 4068,
4048, 3749, 3212, 2511, 1746, 1023, 443, 88, 7, 211,
673, 1326, 2081, 2831, 3471, 3912, 4092, 3987, 3610, 3014,
2284, 1520, 830, 310, 34, 39, 324, 851, 1545, 2309,
3037, 3626, 3995, 4091, 3902, 3453, 2808, 2057, 1304, 655,
201, 5, 95, 457, 1042, 1767, 2531, 3228, 3760, 4053,
4065, 3795, 3281, 2595, 1833, 1100, 500, 116, 2, 173,
607, 1242, 1989, 2744, 3403, 3872, 4086, 4015, 3670, 3098,
2379, 1614, 910, 364, 54, 22, 273, 771, 1448, 2208,
2946, 3559, 3960, 4095, 3944, 3527, 2905, 2163, 1404, 736,
250, 16, 65, 390, 947, 1658, 2423, 3135, 3696, 4027,
4081, 3852, 3371, 2705, 1948, 1204, 579, 158, 0, 129,
525, 1133, 1869, 2630, 3309, 3813, 4070, 4046, 3742, 3202,
2502, 1738, 1017, 440, 87, 7, 212, 673, 1325, 2079,
2827, 3467, 3910, 4092, 3990, 3616, 3024, 2296, 1534, 843,
319, 37, 35, 313, 833, 1522, 2285, 3014, 3609, 3986,
4093, 3915, 3477, 2839, 2092, 1338, 683, 218, 8, 82,
430, 1003, 1722, 2485, 3188, 3732, 4041, 4073, 3823, 3325,
2650, 1890, 1153, 540, 137, 0, 148, 561, 1180, 1921,
2678, 3349, 3837, 4077, 4035, 3715, 3164, 2457, 1693, 979,
413, 75, 11, 231, 703, 1363, 2118, 2863, 3494, 3925,
4094, 3978, 3594, 2995, 2264, 1503, 817, 303, 32, 40,
328, 855, 1548, 2311, 3036, 3624, 3993, 4091, 3906, 3461,
2820, 2072, 1320, 670, 211, 7, 87, 440, 1016, 1735,
2498, 3198, 3739, 4044, 4072, 3818, 3318, 2642, 1883, 1147,
536, 135, 0, 149, 562, 1182, 1921, 2679, 3348, 3837,
4077, 4035, 3717, 3167, 2462, 1699, 984, 418, 77, 10,
226, 695, 1352, 2106, 2851, 3485, 3919, 4093, 3983, 3605,
3010, 2282, 1521, 833, 314, 35, 36, 316, 837, 1525,
2286, 3014, 3607, 3985, 4093, 3917, 3482, 2848, 2103, 1350,
694, 226, 10, 77, 418, 985, 1699, 2461, 3166, 3716,
4035, 4077, 3839, 3351, 2683, 1927, 1187, 567, 152, 0,
132, 530, 1138, 1872, 2630, 3308, 3811, 4069, 4047, 3748,
3213, 2517, 1755, 1034, 453, 94, 5, 199, 650, 1294,
2043, 2792, 3438, 3891, 4089, 4004, 3648, 3070, 2350, 1588,
890, 353, 50, 24, 278, 778, 1453, 2211, 2946, 3556,
3958, 4095, 3948, 3538, 2922, 2185, 1428, 757, 265, 20,
56, 367, 911, 1613, 2374, 3091, 3662, 4011, 4087, 3881,
3422, 2772, 2021, 1275, 635, 191, 4, 100, 465, 1049,
1772, 2532, 3226, 3756, 4050, 4067, 3805, 3299, 2620, 1862,
1129, 524, 129, 0, 154, 570, 1190, 1929, 2684, 3351,
3838, 4077, 4035, 3719, 3171, 2468, 1706, 992, 424, 80,
9, 219, 682, 1334, 2084, 2830, 3467, 3908, 4092, 3993,
3625, 3039, 2316, 1556, 864, 336, 44, 29, 293, 799,
1478, 2236, 2968, 3572, 3966, 4095, 3941, 3525, 2905, 2167,
1412, 745, 258, 18, 59, 374, 920, 1622, 2383, 3098,
3667, 4013, 4087, 3879, 3419, 2769, 2020, 1274, 635, 192,
4, 99, 462, 1045, 1766, 2526, 3219, 3751, 4048, 4069,
3811, 3309, 2633, 1876, 1143, 535, 136, 0, 147, 556,
1171, 1907, 2662, 3333, 3826, 4074, 4042, 3735, 3195, 2497,
1737, 1020, 444, 90, 6, 203, 655, 1299, 2046, 2793,
3438, 3890, 4089, 4006, 3653, 3078, 2362, 1602, 904, 363,
54, 21, 267, 758, 1427, 2182, 2918, 3534, 3945, 4095,
3962, 3566, 2960, 2229, 1472, 795, 291, 28, 44, 336,
864, 1555, 2313, 3035, 3622, 3991, 4092, 3912, 3475, 2841,
2098, 1348, 695, 227, 11, 75, 410, 972, 1681, 2441,
3146, 3701, 4027, 4081, 3855, 3380, 2722, 1971, 1230, 602,
173, 2, 112, 489, 1081, 1806, 2563, 3250, 3772, 4056,
4063, 3793, 3283, 2603, 1847, 1118, 517, 126, 0, 156,
572, 1191, 1928, 2681, 3347, 3834, 4076, 4038, 3727, 3184,
2486, 1727, 1012, 439, 88, 6, 205, 658, 1301, 2047,
2793, 3437, 3889, 4089, 4007, 3656, 3084, 2370, 1611, 912,
369, 57, 19, 259, 746, 1411, 2163, 2900, 3520, 3937,
4094, 3971, 3583, 2984, 2256, 1500, 819, 307, 34, 37,
317, 835, 1519, 2276, 3001, 3596, 3977, 4094, 3929, 3506,
2883, 2145, 1393, 732, 251, 17, 61, 379, 925, 1626,
2385, 3097, 3665, 4011, 4088, 3884, 3428, 2783, 2037, 1292,
651, 202, 6, 90, 443, 1016, 1731, 2489, 3187, 3728,
4038, 4076, 3835, 3349, 2684, 1932, 1196, 576, 159, 1,
123, 509, 1107, 1833, 2589, 3271, 3784, 4060, 4059, 3783,
3268, 2586, 1831, 1105, 508, 122, 1, 160, 578, 1197,
1933, 2685, 3349, 3835, 4076, 4039, 3728, 3188, 2491, 1733,
1019, 445, 91, 5, 200, 647, 1286, 2030, 2776, 3422,
3880, 4087, 4014, 3672, 3107, 2397, 1640, 938, 388, 65,
14, 242, 717, 1374, 2123, 2862, 3490, 3920, 4093, 3986,
3614, 3027, 2306, 1550, 862, 336, 44, 27, 287, 787,
1460, 2213, 2944, 3552, 3954, 4095, 3956, 3555, 2948, 2218,
1465, 791, 289, 28, 43, 333, 857, 1544, 2300, 3021,
3609, 3984, 4093, 3923, 3496, 2871, 2133, 1384, 725, 247,
16, 62, 380, 926, 1626, 2383, 3094, 3662, 4009, 4088,
3888, 3436, 2795, 2051, 1307, 664, 210, 7, 84, 429,
995, 1705, 2462, 3162, 3710, 4031, 4080, 3852, 3377, 2720,
1972, 1234, 607, 177, 2, 107, 477, 1062, 1781, 2537,
3226, 3754, 4048, 4070, 3815, 3318, 2648, 1896, 1165, 554,
147, 0, 132, 526, 1128, 1855, 2609, 3285, 3793, 4063,
4057, 3777, 3261, 2579, 1824, 1101, 506, 122, 1, 159,
575, 1192, 1926, 2676, 3341, 3829, 4074, 4042, 3738, 3204,
2512, 1756, 1040, 462, 100, 3, 186, 623, 1254, 1993,
2740, 3392, 3861, 4082, 4026, 3700, 3149, 2447, 1691, 983,
421, 81, 8, 214, 670, 1314, 2057, 2800, 3440, 3890,
4088, 4009, 3662, 3095, 2385, 1629, 931, 384, 64, 15,
242, 716, 1371, 2118, 2856, 3483, 3915, 4092, 3991, 3625,
3043, 2327, 1572, 882, 350, 50, 23, 271, 761, 1426,
2176, 2909, 3524, 3938, 4094, 3972, 3588, 2994, 2271, 1517,
836, 320, 39, 32, 299, 804, 1478, 2230, 2957, 3561,
3958, 4095, 3953, 3552, 2946, 2218, 1467, 794, 292, 30,
41, 326, 845, 1528, 2281, 3003, 3594, 3976, 4094, 3934,
3518, 2901, 2169, 1419, 756, 268, 22, 52, 353, 885,
1575, 2329, 3045, 3625, 3991, 4092, 3916, 3485, 2859, 2122,
1376, 720, 245, 16, 62, 379, 922, 1618, 2373, 3083,
3653, 4004, 4090, 3897, 3454, 2819, 2079, 1335, 688, 226,
11, 73, 403, 957, 1659, 2414, 3119, 3678, 4016, 4086,
3880, 3424, 2782, 2039, 1298, 659, 208, 7, 84, 427,
990, 1697, 2451, 3151, 3701, 4026, 4083, 3863, 3397, 2747,
2003, 1264, 632, 193, 5, 94, 448, 1020, 1731, 2485,
3180, 3721, 4034, 4079, 3847, 3371, 2716, 1970, 1234, 609,
179, 3, 104, 469, 1048, 1763, 2516, 3206, 3738, 4042,
4074, 3832, 3348, 2687, 1940, 1207, 588, 167, 1, 113,
487, 1073, 1791, 2543, 3229, 3754, 4048, 4070, 3819, 3327,
2661, 1913, 1183, 570, 157, 1, 122, 504, 1095, 1816,
2568, 3249, 3768, 4053, 4066, 3806, 3308, 2639, 1889, 1162,
554, 148, 0, 129, 519, 1115, 1838, 2589, 3266, 3779,
4057, 4063, 3796, 3292, 2619, 1869, 1144, 540, 141, 0,
136, 531, 1132, 1856, 2606, 3281, 3789, 4060, 4060, 3787,
3278, 2603, 1852, 1129, 529, 135, 0, 142, 542, 1146,
1872, 2621, 3293, 3796, 4063, 4057, 3779, 3267, 2589, 1839,
1117, 520, 130, 0, 147, 551, 1157, 1884, 2633, 3302,
3802, 4065, 4055, 3773, 3258, 2579, 1829, 1107, 514, 127,
0, 150, 557, 1165, 1892, 2641, 3309, 3807, 4066, 4053,
3769, 3252, 2572, 1821, 1101, 509, 125, 0, 153, 561,
1170, 1898, 2646, 3313, 3809, 4067, 4052, 3767, 3249, 2568,
1818, 1098, 507, 124, 0, 154, 563, 1172, 1900, 2648,
3315, 3810, 4067, 4052, 3766, 3248, 2568, 1817, 1098, 507,
124, 0, 154, 562, 1172, 1899, 2647, 3313, 3809, 4067,
4052, 3767, 3250, 2570, 1820, 1100, 509, 125, 0, 152,
560, 1168, 1895, 2643, 3310, 3807, 4066, 4053, 3770, 3254,
2576, 1826, 1106, 513, 127, 0, 150, 555, 1161, 1888,
2635, 3304, 3803, 4065, 4055, 3775, 3261, 2584, 1835, 1114,
519, 130, 0, 146, 548, 1152, 1877, 2625, 3295, 3797,
4063, 4057, 3781, 3271, 2596, 1847, 1126, 528, 135, 0,
141, 538, 1139, 1863, 2611, 3283, 3789, 4060, 4060, 3789,
3283, 2611, 1863, 1140, 539, 141, 0, 135, 527, 1124,
1846, 2594, 3269, 3780, 4057, 4064, 3799, 3298, 2629, 1882,
1157, 552, 148, 0, 128, 514, 1106, 1825, 2574, 3252,
3768, 4053, 4067, 3810, 3316, 2651, 1904, 1177, 568, 157,
1, 120, 498, 1085, 1801, 2551, 3233, 3755, 4047, 4071,
3823, 3335, 2675, 1930, 1201, 586, 167, 1, 111, 481,
1061, 1774, 2524, 3210, 3739, 4041, 4075, 3836, 3357, 2702,
1959, 1227, 606, 179, 3, 101, 462, 1035, 1744, 2494,
3184, 3722, 4034, 4079, 3852, 3382, 2732, 1991, 1257, 630,
193, 5, 91, 441, 1006, 1711, 2461, 3156, 3702, 4025,
4083, 3868, 3408, 2765, 2026, 1290, 656, 208, 8, 81,
418, 974, 1675, 2425, 3124, 3679, 4015, 4087, 3885, 3436,
2801, 2065, 1326, 685, 226, 11, 70, 395, 941, 1635,
2385, 3090, 3654, 4004, 4090, 3903, 3467, 2840, 2107, 1366,
717, 246, 16, 60, 369, 904, 1593, 2342, 3052, 3627,
3990, 4093, 3921, 3499, 2881, 2152, 1409, 752, 268, 23,
49, 343, 866, 1547, 2295, 3010, 3596, 3974, 4094, 3940,
3532, 2925, 2201, 1455, 790, 293, 31, 39, 316, 826,
1499, 2245, 2965, 3563, 3957, 4095, 3959, 3567, 2971, 2252,
1505, 831, 320, 40, 29, 289, 783, 1448, 2192, 2917,
3526, 3936, 4094, 3978, 3603, 3020, 2307, 1559, 876, 351,
52, 21, 260, 740, 1394, 2135, 2865, 3486, 3914, 4092,
3996, 3640, 3071, 2365, 1616, 925, 384, 66, 13, 232,
694, 1337, 2075, 2810, 3442, 3888, 4087, 4014, 3678, 3124,
2425, 1677, 977, 421, 83, 7, 204, 648, 1278, 2012,
2750, 3395, 3859, 4081, 4031, 3716, 3178, 2489, 1741, 1034,
462, 102, 3, 176, 600, 1217, 1945, 2687, 3344, 3827,
4072, 4047, 3754, 3234, 2555, 1808, 1094, 506, 125, 0,
149, 552, 1154, 1876, 2620, 3288, 3791, 4060, 4061, 3793,
3291, 2624, 1880, 1158, 555, 151, 0, 123, 503, 1089,
1803, 2550, 3229, 3751, 4045, 4073, 3830, 3350, 2695, 1954,
1226, 607, 181, 3, 99, 454, 1022, 1727, 2475, 3166,
3707, 4027, 4083, 3867, 3409, 2769, 2032, 1298, 664, 214,
9, 76, 406, 954, 1649, 2397, 3098, 3659, 4005, 4090,
3903, 3468, 2844, 2114, 1375, 725, 252, 18, 55, 358,
885, 1568, 2314, 3025, 3606, 3979, 4094, 3937, 3528, 2921,
2198, 1455, 791, 295, 32, 37, 311, 815, 1484, 2228,
2948, 3548, 3948, 4095, 3969, 3587, 3000, 2286, 1540, 862,
342, 49, 22, 265, 745, 1399, 2139, 2867, 3485, 3913,
4092, 3998, 3645, 3079, 2376, 1629, 938, 395, 71, 11,
221, 675, 1312, 2046, 2781, 3417, 3872, 4084, 4025, 3702,
3160, 2469, 1723, 1019, 453, 98, 3, 180, 606, 1223,
1950, 2690, 3344, 3826, 4072, 4048, 3758, 3240, 2564, 1820,
1105, 516, 131, 0, 142, 537, 1133, 1851, 2594, 3265,
3774, 4054, 4067, 3811, 3321, 2662, 1920, 1196, 585, 169,
2, 107, 470, 1042, 1749, 2494, 3181, 3717, 4031, 4081,
3862, 3401, 2760, 2025, 1293, 661, 213, 9, 76, 405,
951, 1644, 2390, 3091, 3653, 4002, 4091, 3909, 3479, 2860,
2133, 1394, 742, 264, 22, 49, 342, 861, 1537, 2282,
2995, 3582, 3966, 4095, 3952, 3556, 2961, 2243, 1500, 830,
321, 41, 28, 282, 771, 1429, 2169, 2893, 3505, 3923,
4093, 3991, 3631, 3061, 2357, 1612, 924, 386, 67, 12,
227, 683, 1320, 2053, 2786, 3421, 3874, 4084, 4025, 3703,
3162, 2473, 1727, 1024, 457, 101, 3, 175, 596, 1210,
1934, 2674, 3330, 3816, 4068, 4052, 3771, 3261, 2590, 1847,
1131, 537, 142, 0, 129, 513, 1100, 1812, 2556, 3232,
3751, 4045, 4074, 3834, 3358, 2709, 1971, 1244, 623, 191,
5, 89, 433, 990, 1687, 2433, 3127, 3678, 4013, 4088,
3893, 3454, 2828, 2099, 1363, 718, 249, 18, 56, 357,
882, 1561, 2305, 3014, 3596, 3973, 4095, 3946, 3545, 2947,
2230, 1488, 821, 315, 39, 29, 286, 776, 1434, 2173,
2895, 3506, 3923, 4093, 3992, 3633, 3065, 2363, 1618, 931,
391, 70, 11, 221, 672, 1306, 2037, 2770, 3407, 3865,
4082, 4030, 3716, 3182, 2498, 1754, 1049, 476, 111, 1,
162, 573, 1178, 1898, 2638, 3300, 3796, 4061, 4061, 3794,
3296, 2634, 1894, 1174, 570, 161, 1, 112, 478, 1051,
1756, 2500, 3184, 3717, 4031, 4082, 3864, 3407, 2770, 2038,
1307, 674, 222, 11, 69, 389, 927, 1613, 2357, 3059,
3629, 3989, 4093, 3927, 3513, 2906, 2185, 1446, 787, 294,
32, 36, 306, 805, 1469, 2208, 2927, 3529, 3936, 4094,
3982, 3614, 3040, 2335, 1592, 909, 376, 64, 13, 231,
688, 1324, 2056, 2787, 3420, 3872, 4084, 4027, 3709, 3172,
2487, 1744, 1041, 470, 108, 2, 165, 576, 1181, 1901,
2639, 3300, 3796, 4061, 4061, 3795, 3300, 2639, 1900, 1181,
576, 165, 2, 108, 470, 1040, 1743, 2485, 3170, 3708,
4026, 4084, 3873, 3422, 2790, 2061, 1329, 692, 234, 14,
62, 372, 902, 1583, 2326, 3031, 3607, 3978, 4094, 3941,
3539, 2941, 2224, 1485, 820, 316, 40, 28, 283, 769,
1424, 2161, 2882, 3494, 3916, 4092, 3998, 3648, 3088, 2390,
1648, 958, 411, 80, 7, 203, 642, 1265, 1992, 2725,
3370, 3840, 4075, 4043, 3749, 3231, 2557, 1816, 1106, 519,
134, 0, 135, 522, 1109, 1820, 2560, 3233, 3751, 4044,
4075, 3839, 3368, 2723, 1990, 1264, 641, 203, 7, 80,
411, 957, 1646, 2389, 3086, 3647, 3997, 4092, 3918, 3498,
2888, 2167, 1431, 775, 287, 30, 38, 310, 810, 1473,
2211, 2928, 3529, 3935, 4094, 3984, 3619, 3049, 2346, 1605,
922, 386, 69, 11, 221, 670, 1301, 2029, 2760, 3397,
3857, 4080, 4036, 3730, 3205, 2527, 1786, 1080, 501, 124,
0, 145, 539, 1131, 1844, 2583, 3252, 3763, 4048, 4072,
3830, 3354, 2706, 1973, 1249, 630, 197, 6, 83, 418,
967, 1657, 2398, 3094, 3652, 4000, 4092, 3915, 3494, 2884,
2163, 1428, 774, 286, 30, 38, 309, 809, 1470, 2208,
2924, 3525, 3933, 4094, 3986, 3625, 3056, 2356, 1615, 931,
393, 72, 10, 214, 659, 1286, 2012, 2743, 3383, 3848,
4077, 4040, 3743, 3223, 2549, 1810, 1101, 517, 133, 0,
135, 520, 1105, 1814, 2553, 3226, 3745, 4041, 4077, 3846,
3381, 2741, 2010, 1284, 658, 214, 10, 72, 393, 931,
1615, 2355, 3055, 3623, 3985, 4094, 3934, 3528, 2928, 2213,
1477, 814, 314, 40, 28, 281, 765, 1416, 2151, 2871,
3484, 3909, 4091, 4005, 3663, 3110, 2419, 1678, 986, 433,
91, 4, 185, 609, 1222, 1942, 2676, 3328, 3812, 4066,
4056, 3784, 3284, 2623, 1887, 1172, 571, 163, 2, 107,
467, 1032, 1731, 2471, 3155, 3695, 4020, 4086, 3887, 3447,
2825, 2101, 1370, 727, 257, 21, 49, 339, 852, 1520,
2258, 2968, 3558, 3951, 4095, 3972, 3597, 3021, 2317, 1578,
900, 373, 63, 13, 229, 681, 1312, 2039, 2767, 3402,
3859, 4080, 4036, 3732, 3208, 2533, 1795, 1090, 509, 129,
0, 138, 525, 1110, 1818, 2556, 3227, 3745, 4041, 4077,
3849, 3385, 2747, 2018, 1293, 666, 219, 11, 68, 384,
916, 1596, 2334, 3036, 3608, 3977, 4095, 3945, 3548, 2956,
2245, 1508, 842, 333, 47, 22, 261, 733, 1376, 2107,
2829, 3450, 3888, 4087, 4019, 3695, 3156, 2473, 1734, 1036,
470, 109, 1, 160, 564, 1162, 1875, 2610, 3272, 3775,
4053, 4069, 3822, 3345, 2698, 1966, 1246, 629, 197, 7,
81, 412, 956, 1642, 2380, 3076, 3637, 3992, 4093, 3928,
3519, 2918, 2203, 1469, 810, 311, 39, 28, 280, 762,
1411, 2143, 2862, 3476, 3903, 4089, 4010, 3675, 3129, 2441,
1703, 1009, 451, 100, 2, 171, 583, 1186, 1901, 2635,
3292, 3788, 4057, 4065, 3811, 3327, 2677, 1945, 1227, 615,
189, 5, 87, 423, 970, 1658, 2396, 3089, 3646, 3996,
4092, 3923, 3510, 2907, 2192, 1459, 802, 307, 38, 30,
284, 767, 1417, 2149, 2867, 3479, 3905, 4090, 4009, 3674,
3127, 2440, 1703, 1010, 451, 100, 2, 170, 581, 1183,
1897, 2630, 3288, 3785, 4056, 4067, 3815, 3334, 2686, 1955,
1236, 622, 194, 6, 83, 415, 959, 1644, 2381, 3076,
3636, 3991, 4093, 3930, 3523, 2924, 2212, 1478, 818, 318,
42, 26, 272, 749, 1394, 2124, 2844, 3460, 3894, 4088,
4017, 3691, 3152, 2469, 1732, 1036, 471, 110, 1, 157,
558, 1152, 1862, 2596, 3259, 3765, 4049, 4072, 3834, 3364,
2723, 1995, 1273, 652, 212, 10, 71, 389, 922, 1600,
2337, 3036, 3606, 3975, 4095, 3949, 3556, 2969, 2262, 1527,
860, 346, 53, 18, 246, 708, 1343, 2069, 2792, 3419,
3868, 4082, 4032, 3725, 3201, 2528, 1792, 1090, 511, 132,
0, 133, 515, 1094, 1797, 2532, 3205, 3728, 4033, 4081,
3867, 3416, 2789, 2066, 1340, 706, 245, 18, 53, 347,
860, 1527, 2261, 2968, 3555, 3948, 4095, 3977, 3609, 3039,
2342, 1606, 927, 393, 73, 9, 208, 645, 1263, 1983,
2711, 3353, 3827, 4070, 4052, 3775, 3275, 2616, 1883, 1172,
574, 166, 2, 102, 453, 1011, 1702, 2438, 3124, 3670,
4007, 4090, 3910, 3489, 2882, 2167, 1436, 785, 297, 34,
32, 291, 776, 1425, 2155, 2871, 3480, 3905, 4090, 4010,
3678, 3135, 2451, 1716, 1023, 462, 107, 1, 160, 563,
1157, 1866, 2599, 3260, 3765, 4048, 4073, 3836, 3369, 2731,
2005, 1284, 662, 219, 11, 67, 378, 904, 1578, 2313,
3013, 3589, 3966, 4095, 3960, 3579, 3000, 2298, 1564, 892,
369, 63, 13, 225, 672, 1296, 2018, 2743, 3378, 3842,
4075, 4046, 3759, 3252, 2589, 1857, 1149, 557, 157, 1,
109, 466, 1027, 1720, 2455, 3138, 3679, 4011, 4089, 3905,
3481, 2872, 2157, 1428, 779, 293, 33, 33, 292, 778,
1427, 2155, 2870, 3479, 3904, 4089, 4012, 3681, 3140, 2458,
1724, 1031, 469, 110, 1, 155, 553, 1144, 1850, 2582,
3246, 3755, 4044, 4076, 3847, 3387, 2754, 2030, 1308, 682,
231, 15, 59, 360, 878, 1546, 2279, 2982, 3565, 3952,
4095, 3974, 3605, 3036, 2339, 1606, 929, 396, 75, 8,
204, 636, 1250, 1967, 2694, 3338, 3816, 4066, 4057, 3789,
3298, 2646, 1916, 1204, 600, 182, 4, 89, 425, 970,
1654, 2388, 3078, 3636, 3990, 4094, 3934, 3533, 2941, 2233,
1502, 841, 335, 49, 20, 251, 714, 1347, 2070, 2791,
3416, 3865, 4081, 4035, 3734, 3217, 2549, 1817, 1114, 532,
144, 0, 120, 487, 1054, 1749, 2482, 3160, 3694, 4018,
4088, 3896, 3467, 2856, 2141, 1414, 768, 287, 31, 35,
297, 783, 1432, 2160, 2873, 3481, 3904, 4089, 4012, 3683,
3145, 2465, 1732, 1039, 476, 114, 1, 150, 542, 1128,
1831, 2563, 3228, 3742, 4038, 4079, 3860, 3408, 2782, 2061,
1339, 708, 248, 19, 51, 338, 844, 1505, 2235, 2941,
3533, 3934, 4093, 3990, 3638, 3082, 2394, 1661, 977, 431,
92, 4, 177, 590, 1190, 1900, 2628, 3283, 3779, 4053,
4070, 3828, 3358, 2720, 1996, 1279, 660, 218, 12, 65,
373, 895, 1565, 2297, 2996, 3574, 3957, 4095, 3971, 3600,
3031, 2336, 1604, 929, 397, 76, 8, 201, 630, 1241,
1955, 2681, 3325, 3807, 4063, 4061, 3802, 3318, 2671, 1945,
1232, 623, 196, 7, 78, 402, 936, 1612, 2344, 3038,
3605, 3973, 4095, 3955, 3570, 2991, 2292, 1561, 892, 371,
65, 12, 219, 660, 1279, 1996, 2719, 3357, 3827, 4069,
4054, 3781, 3287, 2635, 1907, 1198, 597, 181, 4, 88,
423, 965, 1646, 2378, 3067, 3627, 3984, 4094, 3943, 3549,
2964, 2261, 1531, 867, 354, 58, 15, 232, 681, 1305,
2023, 2745, 3377, 3840, 4073, 4048, 3768, 3268, 2612, 1884,
1176, 581, 172, 3, 95, 436, 983, 1666, 2398, 3084,
3639, 3990, 4094, 3936, 3537, 2948, 2244, 1515, 854, 346,
54, 17, 239, 692, 1318, 2036, 2757, 3387, 3845, 4075,
4046, 3762, 3259, 2602, 1874, 1168, 574, 169, 3, 97,
441, 989, 1673, 2404, 3089, 3642, 3992, 4093, 3934, 3534,
2945, 2241, 1513, 852, 344, 54, 17, 239, 692, 1317,
2036, 2756, 3386, 3845, 4075, 4046, 3763, 3262, 2605, 1878,
1172, 578, 171, 3, 95, 437, 983, 1665, 2396, 3083,
3637, 3989, 4094, 3938, 3541, 2954, 2252, 1523, 862, 351,
57, 16, 233, 682, 1304, 2022, 2742, 3374, 3837, 4072,
4050, 3772, 3275, 2622, 1896, 1189, 591, 178, 4, 90,
424, 966, 1645, 2375, 3064, 3623, 3982, 4094, 3947, 3557,
2976, 2276, 1548, 883, 366, 63, 12, 221, 662, 1279,
1993, 2715, 3352, 3823, 4068, 4056, 3789, 3300, 2652, 1927,
1218, 614, 192, 6, 80, 404, 937, 1611, 2340, 3032,
3600, 3969, 4095, 3960, 3583, 3010, 2315, 1585, 915, 389,
73, 8, 203, 631, 1240, 1951, 2675, 3319, 3801, 4060,
4064, 3812, 3335, 2695, 1973, 1260, 647, 212, 10, 67,
376, 896, 1563, 2291, 2989, 3566, 3951, 4095, 3978, 3616,
3055, 2366, 1637, 960, 421, 88, 4, 180, 592, 1189,
1896, 2621, 3274, 3771, 4049, 4073, 3841, 3380, 2751, 2032,
1316, 692, 240, 18, 53, 341, 845, 1502, 2229, 2932,
3523, 3927, 4092, 3999, 3657, 3112, 2432, 1703, 1017, 463,
109, 1, 153, 544, 1127, 1826, 2553, 3216, 3731, 4033,
4082, 3874, 3435, 2819, 2106, 1385, 748, 276, 29, 37,
300, 784, 1429, 2152, 2861, 3468, 3894, 4087, 4021, 3705,
3179, 2510, 1782, 1088, 515, 137, 0, 123, 489, 1053,
1743, 2471, 3146, 3681, 4010, 4090, 3912, 3497, 2899, 2193,
1469, 818, 322, 45, 22, 255, 715, 1343, 2061, 2777,
3401, 3853, 4077, 4044, 3758, 3256, 2601, 1876, 1173, 580,
173, 3, 92, 428, 969, 1647, 2375, 3062, 3620, 3980,
4095, 3951, 3566, 2989, 2294, 1567, 901, 380, 69, 9,
207, 638, 1246, 1956, 2678, 3320, 3801, 4060, 4065, 3815,
3341, 2704, 1984, 1272, 658, 220, 12, 62, 363, 877,
1538, 2264, 2963, 3546, 3939, 4094, 3990, 3640, 3090, 2407,
1680, 998, 450, 103, 2, 159, 555, 1139, 1838, 2564,
3224, 3736, 4034, 4082, 3873, 3433, 2818, 2106, 1387, 751,
279, 30, 36, 295, 776, 1418, 2139, 2848, 3457, 3887,
4085, 4026, 3718, 3198, 2533, 1807, 1112, 534, 147, 1,
112, 468, 1023, 1707, 2434, 3113, 3657, 3998, 4093, 3930,
3529, 2942, 2242, 1517, 859, 352, 58, 15, 228, 671,
1287, 1999, 2718, 3352, 3821, 4067, 4058, 3796, 3313, 2671,
1950, 1242, 635, 206, 9, 70, 379, 899, 1564, 2289,
2984, 3561, 3948, 4094, 3983, 3628, 3074, 2390, 1664, 985,
441, 99, 2, 163, 562, 1147, 1846, 2571, 3229, 3739,
4035, 4082, 3872, 3432, 2818, 2107, 1388, 753, 280, 31,
35, 292, 770, 1410, 2129, 2838, 3448, 3881, 4084, 4030,
3727, 3212, 2551, 1826, 1129, 548, 156, 1, 104, 452,
1001, 1681, 2407, 3088, 3638, 3988, 4094, 3942, 3552, 2973,
2277, 1553, 890, 374, 67, 10, 209, 639, 1247, 1955,
2675, 3315, 3797, 4058, 4067, 3821, 3353, 2721, 2003, 1292,
675, 231, 16, 55, 345, 849, 1504, 2227, 2927, 3517,
3922, 4092, 4004, 3671, 3133, 2460, 1734, 1048, 487, 123,
0, 135, 509, 1078, 1767, 2493, 3162, 3691, 4014, 4089,
3909, 3494, 2898, 2195, 1474, 824, 328, 48, 20, 245,
697, 1319, 2032, 2747, 3374, 3835, 4071, 4053, 3784, 3296,
2652, 1932, 1226, 624, 200, 8, 72, 384, 905, 1569,
2293, 2986, 3562, 3947, 4094, 3985, 3632, 3080, 2399, 1674,
996, 449, 103, 1, 156, 548, 1128, 1823, 2546, 3207,
3723, 4028, 4085, 3886, 3457, 2851, 2145, 1426, 785, 302,
39, 27, 268, 733, 1362, 2077, 2789, 3407, 3855, 4077,
4044, 3761, 3263, 2613, 1892, 1191, 596, 184, 5, 82,
406, 935, 1603, 2327, 3016, 3584, 3959, 4095, 3974, 3612,
3054, 2370, 1646, 971, 432, 95, 3, 166, 565, 1150,
1847, 2569, 3226, 3735, 4033, 4083, 3877, 3443, 2833, 2126,
1408, 771, 294, 35, 29, 276, 744, 1375, 2091, 2801,
3416, 3861, 4078, 4042, 3756, 3256, 2605, 1884, 1184, 592,
181, 5, 84, 408, 938, 1606, 2330, 3018, 3585, 3959,
4095, 3974, 3613, 3056, 2372, 1648, 974, 435, 96, 2,
164, 561, 1144, 1840, 2561, 3219, 3730, 4031, 4084, 3882,
3451, 2845, 2139, 1421, 782, 301, 38, 27, 267, 731,
1358, 2072, 2783, 3402, 3851, 4076, 4047, 3768, 3274, 2627,
1908, 1206, 609, 192, 7, 76, 392, 914, 1578, 2301,
2992, 3565, 3948, 4094, 3985, 3634, 3084, 2406, 1682, 1004,
457, 108, 1, 149, 535, 1109, 1800, 2523, 3186, 3706,
4020, 4088, 3901, 3483, 2885, 2183, 1465, 819, 326, 48,
20, 244, 693, 1312, 2022, 2735, 3363, 3826, 4068, 4057,
3796, 3317, 2680, 1963, 1257, 650, 217, 12, 61, 358,
865, 1520, 2240, 2937, 3522, 3924, 4092, 4005, 3674, 3140,
2470, 1748, 1063, 500, 131, 0, 125, 489, 1047, 1730,
2453, 3125, 3663, 3999, 4093, 3931, 3535, 2954, 2260, 1539,
882, 370, 66, 10, 207, 634, 1237, 1940, 2657, 3298,
3783, 4052, 4072, 3839, 3384, 2762, 2051, 1339, 716, 259,
24, 41, 308, 792, 1431, 2148, 2852, 3455, 3884, 4084,
4031, 3730, 3221, 2565, 1845, 1150, 567, 168, 3, 92,
425, 959, 1629, 2351, 3035, 3596, 3965, 4095, 3971, 3607,
3049, 2367, 1645, 973, 435, 97, 2, 161, 555, 1134,
1827, 2547, 3205, 3719, 4026, 4086, 3893, 3471, 2871, 2170,
1453, 810, 321, 46, 20, 247, 696, 1314, 2023, 2735,
3362, 3825, 4067, 4059, 3800, 3324, 2689, 1975, 1269, 661,
224, 14, 57, 347, 848, 1498, 2216, 2914, 3503, 3912,
4090, 4014, 3693, 3169, 2505, 1784, 1096, 526, 145, 1,
110, 460, 1007, 1683, 2404, 3081, 3630, 3982, 4095, 3953,
3575, 3007, 2320, 1599, 934, 408, 84, 4, 178, 584,
1171, 1867, 2585, 3237, 3741, 4035, 4082, 3877, 3445, 2840,
2137, 1422, 785, 304, 40, 25, 260, 717, 1339, 2049,
2759, 3380, 3836, 4071, 4054, 3789, 3308, 2671, 1956, 1253,
648, 217, 12, 60, 354, 858, 1510, 2228, 2923, 3510,
3916, 4090, 4012, 3689, 3164, 2500, 1780, 1093, 525, 145,
1, 110, 459, 1005, 1681, 2401, 3078, 3627, 3981, 4095,
3955, 3580, 3014, 2329, 1609, 944, 415, 88, 4, 172,
573, 1157, 1851, 2569, 3222, 3730, 4030, 4085, 3887, 3462,
2861, 2160, 1445, 805, 318, 46, 21, 246, 695, 1311,
2018, 2729, 3355, 3820, 4065, 4061, 3808, 3337, 2706, 1994,
1289, 677, 235, 17, 51, 331, 823, 1467, 2182, 2881,
3477, 3896, 4087, 4025, 3719, 3206, 2550, 1832, 1141, 561,
166, 3, 92, 424, 956, 1623, 2342, 3025, 3587, 3959,
4095, 3978, 3622, 3072, 2395, 1675, 1002, 457, 109, 1,
145, 524, 1092, 1777, 2496, 3160, 3686, 4009, 4091, 3920,
3518, 2934, 2241, 1524, 872, 364, 65, 10, 207, 631,
1230, 1930, 2644, 3285, 3773, 4048, 4076, 3853, 3408, 2795,
2090, 1379, 751, 283, 33, 31, 278, 744, 1370, 2080,
2786, 3401, 3848, 4074, 4050, 3779, 3294, 2655, 1942, 1241,
640, 213, 12, 62, 356, 860, 1510, 2226, 2920, 3506,
3913, 4090, 4015, 3697, 3176, 2516, 1798, 1111, 539, 154,
1, 101, 441, 979, 1648, 2367, 3046, 3602, 3967, 4095,
3971, 3609, 3056, 2378, 1659, 988, 448, 105, 1, 149,
531, 1100, 1786, 2503, 3165, 3689, 4011, 4091, 3919, 3517,
2934, 2242, 1526, 874, 366, 66, 10, 204, 626, 1222,
1920, 2634, 3275, 3766, 4045, 4078, 3861, 3421, 2812, 2109,
1398, 767, 294, 37, 27, 266, 724, 1344, 2052, 2759,
3378, 3833, 4069, 4057, 3797, 3321, 2690, 1979, 1276, 669,
231, 17, 52, 333, 824, 1466, 2180, 2877, 3472, 3892,
4086, 4028, 3727, 3220, 2568, 1853, 1161, 579, 177, 4,
83, 404, 926, 1587, 2303, 2989, 3559, 3943, 4094, 3993,
3654, 3117, 2449, 1731, 1053, 496, 130, 0, 121, 479,
1030, 1705, 2423, 3094, 3637, 3985, 4094, 3953, 3577, 3014,
2332, 1615, 951, 422, 92, 3, 164, 557, 1133, 1821,
2537, 3193, 3708, 4019, 4089, 3907, 3498, 2910, 2217, 1503,
855, 354, 61, 12, 212, 638, 1236, 1934, 2646, 3285,
3771, 4047, 4077, 3858, 3417, 2808, 2105, 1396, 767, 295,
37, 26, 264, 720, 1338, 2044, 2750, 3370, 3828, 4067,
4059, 3804, 3334, 2706, 1997, 1295, 685, 241, 20, 46,
318, 802, 1439, 2150, 2849, 3449, 3878, 4082, 4037, 3748,
3251, 2606, 1893, 1199, 609, 195, 8, 71, 376, 886,
1538, 2252, 2942, 3522, 3921, 4091, 4010, 3690, 3168, 2509,
1793, 1109, 539, 155, 2, 99, 435, 969, 1634, 2350,
3029, 3588, 3958, 4095, 3980, 3630, 3085, 2413, 1697, 1024,
476, 120, 0, 131, 496, 1051, 1728, 2444, 3112, 3649,
3990, 4094, 3947, 3568, 3003, 2321, 1606, 944, 418, 91,
3, 165, 558, 1132, 1819, 2533, 3189, 3704, 4017, 4089,
3912, 3506, 2923, 2232, 1519, 870, 365, 66, 9, 202,
620, 1212, 1907, 2618, 3260, 3754, 4039, 4081, 3874, 3444,
2844, 2146, 1436, 801, 318, 46, 19, 240, 682, 1290,
1991, 2699, 3327, 3799, 4057, 4069, 3835, 3382, 2767, 2063,
1358, 737, 276, 31, 32, 280, 743, 1366, 2072, 2774,
3389, 3839, 4071, 4055, 3795, 3321, 2692, 1984, 1284, 677,
238, 19, 47, 320, 804, 1439, 2149, 2846, 3446, 3875,
4081, 4039, 3754, 3261, 2620, 1909, 1215, 623, 204, 10,
65, 361, 863, 1510, 2222, 2913, 3498, 3906, 4088, 4021,
3713, 3203, 2551, 1838, 1151, 572, 174, 4, 83, 402,
921, 1577, 2291, 2975, 3546, 3934, 4093, 4002, 3673, 3146,
2485, 1771, 1090, 526, 148, 1, 103, 442, 977, 1642,
2357, 3033, 3590, 3959, 4095, 3981, 3633, 3091, 2422, 1707,
1034, 485, 125, 0, 124, 482, 1031, 1704, 2418, 3087,
3630, 3980, 4095, 3960, 3593, 3038, 2362, 1648, 982, 446,
105, 1, 145, 521, 1083, 1762, 2476, 3137, 3666, 3998,
4093, 3939, 3555, 2987, 2305, 1592, 934, 412, 88, 3,
167, 559, 1132, 1817, 2529, 3183, 3699, 4014, 4090, 3918,
3518, 2939, 2252, 1540, 890, 381, 74, 7, 188, 595,
1179, 1868, 2579, 3226, 3729, 4028, 4086, 3897, 3483, 2894,
2203, 1493, 850, 353, 61, 11, 209, 629, 1222, 1916,
2625, 3264, 3755, 4039, 4081, 3876, 3449, 2852, 2157, 1449,
813, 327, 51, 17, 229, 662, 1263, 1960, 2667, 3299,
3779, 4049, 4076, 3856, 3418, 2812, 2114, 1408, 780, 305,
42, 22, 248, 692, 1301, 2000, 2705, 3331, 3800, 4057,
4070, 3838, 3388, 2776, 2076, 1372, 750, 285, 35, 28,
266, 721, 1336, 2037, 2740, 3359, 3818, 4063, 4064, 3820,
3361, 2743, 2041, 1339, 723, 268, 29, 34, 283, 746,
1367, 2071, 2771, 3384, 3835, 4069, 4058, 3804, 3337, 2713,
2009, 1310, 700, 253, 24, 40, 299, 770, 1395, 2100,
2798, 3406, 3849, 4073, 4053, 3789, 3315, 2687, 1981, 1284,
679, 240, 20, 45, 313, 790, 1420, 2126, 2822, 3425,
3860, 4077, 4047, 3776, 3295, 2664, 1957, 1262, 662, 229,
17, 50, 325, 808, 1442, 2148, 2843, 3441, 3870, 4079,
4043, 3765, 3279, 2644, 1937, 1244, 647, 220, 14, 54,
335, 823, 1460, 2167, 2859, 3454, 3879, 4082, 4039, 3755,
3265, 2628, 1920, 1228, 635, 213, 13, 58, 344, 836,
1474, 2182, 2873, 3465, 3885, 4083, 4035, 3748, 3254, 2615,
1907, 1217, 626, 208, 11, 61, 351, 845, 1485, 2193,
2883, 3472, 3890, 4084, 4033, 3742, 3246, 2606, 1898, 1208,
620, 204, 10, 63, 355, 852, 1492, 2200, 2890, 3477,
3893, 4085, 4031, 3738, 3241, 2600, 1892, 1203, 616, 202,
10, 64, 358, 855, 1496, 2204, 2893, 3480, 3894, 4085,
4031, 3737, 3239, 2598, 1890, 1202, 615, 201, 10, 64,
358, 856, 1497, 2204, 2893, 3480, 3894, 4085, 4031, 3737,
3240, 2599, 1892, 1203, 616, 202, 10, 64, 356, 853,
1494, 2201, 2890, 3477, 3892, 4085, 4032, 3740, 3244, 2604,
1897, 1208, 620, 204, 11, 62, 353, 848, 1487, 2194,
2883, 3472, 3889, 4084, 4034, 3745, 3251, 2613, 1906, 1217,
627, 209, 12, 60, 347, 839, 1477, 2183, 2873, 3464,
3884, 4083, 4037, 3751, 3261, 2625, 1919, 1228, 637, 215,
13, 56, 339, 828, 1463, 2169, 2860, 3453, 3877, 4081,
4040, 3760, 3274, 2640, 1935, 1243, 649, 222, 15, 53,
330, 814, 1446, 2151, 2843, 3439, 3868, 4079, 4045, 3771,
3289, 2659, 1955, 1262, 664, 232, 18, 48, 318, 797,
1425, 2129, 2822, 3423, 3858, 4076, 4050, 3783, 3308, 2681,
1979, 1284, 681, 243, 21, 43, 305, 777, 1401, 2103,
2799, 3404, 3846, 4072, 4055, 3797, 3329, 2707, 2006, 1310,
702, 256, 25, 37, 290, 755, 1374, 2074, 2771, 3381,
3831, 4067, 4061, 3813, 3353, 2736, 2037, 1339, 726, 272,
31, 31, 274, 730, 1343, 2041, 2740, 3356, 3815, 4061,
4067, 3830, 3379, 2768, 2071, 1372, 753, 290, 37, 25,
256, 702, 1309, 2005, 2706, 3327, 3796, 4054, 4072, 3848,
3407, 2804, 2110, 1408, 783, 310, 45, 20, 238, 673,
1272, 1965, 2667, 3295, 3774, 4046, 4078, 3867, 3438, 2842,
2152, 1448, 817, 333, 54, 14, 218, 641, 1232, 1921,
2625, 3260, 3750, 4036, 4083, 3887, 3471, 2884, 2197, 1492,
854, 358, 65, 9, 197, 607, 1189, 1874, 2579, 3221,
3723, 4024, 4088, 3908, 3506, 2929, 2246, 1540, 895, 387,
78, 5, 176, 571, 1143, 1823, 2530, 3179, 3692, 4009,
4092, 3929, 3542, 2976, 2299, 1592, 939, 419, 94, 2,
155, 534, 1094, 1768, 2476, 3132, 3659, 3993, 4094, 3951,
3580, 3026, 2355, 1647, 987, 454, 112, 0, 134, 496,
1043, 1711, 2418, 3082, 3622, 3973, 4095, 3972, 3619, 3078,
2415, 1707, 1040, 493, 132, 0, 113, 456, 990, 1650,
2357, 3027, 3581, 3951, 4094, 3993, 3659, 3133, 2477, 1770,
1096, 536, 156, 2, 92, 416, 934, 1585, 2292, 2969,
3536, 3926, 4091, 4013, 3700, 3190, 2543, 1838, 1157, 583,
184, 6, 73, 375, 877, 1518, 2222, 2906, 3487, 3896,
4085, 4031, 3741, 3248, 2612, 1909, 1222, 634, 215, 13,
55, 334, 817, 1447, 2149, 2838, 3434, 3863, 4077, 4048,
3781, 3308, 2684, 1984, 1292, 690, 250, 24, 39, 293,
757, 1374, 2072, 2767, 3376, 3826, 4065, 4063, 3822, 3368,
2758, 2063, 1366, 750, 289, 37, 25, 253, 696, 1299,
1991, 2690, 3313, 3785, 4050, 4076, 3861, 3430, 2835, 2145,
1444, 815, 333, 55, 14, 215, 634, 1221, 1907, 2610,
3245, 3738, 4030, 4086, 3899, 3492, 2913, 2231, 1527, 886,
382, 76, 5, 177, 572, 1142, 1819, 2524, 3172, 3687,
4006, 4092, 3936, 3554, 2994, 2321, 1615, 961, 436, 103,
1, 142, 510, 1061, 1729, 2434, 3094, 3630, 3977, 4095,
3970, 3616, 3075, 2413, 1707, 1042, 496, 134, 0, 110,
449, 978, 1635, 2340, 3011, 3567, 3943, 4093, 4001, 3676,
3158, 2508, 1803, 1128, 561, 172, 4, 80, 389, 895,
1538, 2242, 2922, 3499, 3903, 4087, 4028, 3735, 3241, 2606,
1904, 1219, 633, 215, 14, 54, 331, 812, 1440, 2139,
2828, 3424, 3857, 4075, 4052, 3792, 3324, 2706, 2009, 1316,
711, 264, 29, 33, 276, 729, 1339, 2033, 2728, 3343,
3804, 4057, 4071, 3846, 3407, 2807, 2117, 1419, 795, 320,
50, 16, 223, 647, 1237, 1922, 2623, 3255, 3744, 4032,
4085, 3896, 3488, 2910, 2229, 1527, 886, 383, 77, 5,
175, 566, 1134, 1809, 2513, 3161, 3678, 4001, 4093, 3943,
3568, 3013, 2344, 1639, 983, 453, 112, 0, 131, 488,
1030, 1693, 2397, 3060, 3604, 3963, 4095, 3985, 3645, 3117,
2461, 1757, 1088, 531, 155, 2, 92, 412, 927, 1574,
2277, 2953, 3522, 3916, 4089, 4021, 3719, 3219, 2581, 1880,
1198, 617, 205, 12, 58, 341, 825, 1453, 2152, 2839,
3432, 3861, 4076, 4051, 3789, 3321, 2702, 2007, 1316, 711,
265, 29, 32, 273, 724, 1332, 2024, 2718, 3334, 3797,
4054, 4073, 3854, 3420, 2825, 2137, 1439, 813, 333, 55,
13, 211, 626, 1209, 1891, 2592, 3228, 3725, 4023, 4088,
3913, 3516, 2947, 2271, 1569, 923, 410, 91, 2, 155,
532, 1087, 1756, 2459, 3114, 3643, 3983, 4095, 3965, 3609,
3068, 2408, 1704, 1041, 497, 136, 0, 107, 442, 966,
1618, 2321, 2992, 3551, 3933, 4092, 4010, 3696, 3189, 2546,
1845, 1167, 594, 192, 8, 66, 357, 847, 1479, 2178,
2862, 3449, 3872, 4079, 4046, 3778, 3306, 2685, 1990, 1301,
700, 258, 27, 34, 279, 732, 1340, 2031, 2725, 3338,
3800, 4055, 4073, 3853, 3420, 2825, 2139, 1442, 816, 335,
57, 12, 208, 620, 1200, 1880, 2580, 3217, 3717, 4019,
4090, 3920, 3529, 2964, 2291, 1590, 942, 424, 98, 1,
145, 513, 1062, 1727, 2429, 3087, 3622, 3972, 4095, 3977,
3632, 3101, 2446, 1743, 1077, 525, 152, 2, 93, 413,
927, 1572, 2272, 2947, 3516, 3912, 4088, 4025, 3729, 3235,
2601, 1903, 1221, 637, 218, 15, 51, 321, 795, 1416,
2111, 2798, 3398, 3838, 4068, 4061, 3816, 3364, 2757, 2067,
1374, 760, 298, 42, 21, 238, 668, 1260, 1945, 2642,
3268, 3752, 4035, 4084, 3895, 3488, 2912, 2234, 1535, 895,
392, 82, 4, 165, 548, 1107, 1776, 2477, 3128, 3652,
3987, 4095, 3962, 3604, 3064, 2404, 1702, 1041, 498, 137,
1, 104, 436, 957, 1606, 2306, 2977, 3538, 3924, 4090,
4017, 3712, 3212, 2575, 1876, 1198, 619, 208, 12, 56,
333, 811, 1435, 2130, 2816, 3411, 3846, 4071, 4058, 3809,
3354, 2745, 2055, 1364, 753, 293, 40, 22, 241, 673,
1265, 1949, 2645, 3271, 3753, 4035, 4084, 3895, 3489, 2914,
2237, 1538, 899, 395, 84, 3, 162, 542, 1098, 1766,
2466, 3118, 3644, 3983, 4095, 3967, 3615, 3078, 2422, 1721,
1058, 512, 145, 1, 97, 421, 936, 1581, 2280, 2953,
3519, 3913, 4088, 4025, 3730, 3238, 2606, 1910, 1229, 644,
224, 17, 47, 312, 780, 1397, 2089, 2777, 3379, 3825,
4064, 4066, 3832, 3390, 2790, 2103, 1410, 792, 320, 51,
15, 217, 633, 1215, 1894, 2591, 3224, 3720, 4020, 4090,
3920, 3532, 2970, 2300, 1601, 954, 434, 104, 1, 137,
496, 1037, 1696, 2396, 3055, 3597, 3957, 4094, 3992, 3663,
3145, 2498, 1799, 1129, 566, 177, 6, 73, 372, 866,
1498, 2194, 2874, 3456, 3874, 4079, 4046, 3780, 3312, 2695,
2003, 1317, 715, 270, 31, 29, 262, 704, 1302, 1988,
2680, 3299, 3771, 4043, 4081, 3882, 3469, 2889, 2212, 1515,
881, 382, 79, 4, 169, 552, 1111, 1778, 2477, 3126,
3649, 3985, 4095, 3966, 3613, 3078, 2422, 1723, 1062, 515,
148, 2, 94, 415, 926, 1568, 2265, 2938, 3506, 3905,
4086, 4030, 3743, 3258, 2632, 1938, 1256, 667, 239, 21,
40, 293, 750, 1359, 2048, 2736, 3345, 3802, 4055, 4074,
3856, 3428, 2839, 2158, 1464, 837, 352, 65, 8, 189,
587, 1155, 1826, 2524, 3166, 3677, 3999, 4094, 3950, 3584,
3040, 2380, 1681, 1025, 488, 133, 0, 106, 438, 958,
1604, 2302, 2970, 3531, 3919, 4089, 4022, 3724, 3232, 2601,
1907, 1228, 645, 225, 17, 46, 307, 771, 1384, 2073,
2760, 3364, 3814, 4059, 4070, 3846, 3412, 2820, 2137, 1445,
822, 342, 61, 10, 196, 598, 1168, 1841, 2537, 3177,
3685, 4003, 4093, 3946, 3578, 3031, 2371, 1673, 1018, 483,
130, 0, 108, 441, 961, 1607, 2305, 2972, 3532, 3919,
4089, 4022, 3725, 3233, 2604, 1909, 1231, 648, 227, 18,
45, 304, 766, 1376, 2065, 2752, 3356, 3809, 4057, 4072,
3852, 3422, 2832, 2152, 1459, 835, 351, 65, 8, 189,
585, 1151, 1821, 2518, 3159, 3672, 3996, 4094, 3954, 3593,
3053, 2396, 1698, 1041, 501, 140, 1, 99, 423, 936,
1577, 2273, 2943, 3509, 3906, 4087, 4031, 3745, 3262, 2639,
1946, 1266, 676, 246, 24, 37, 283, 734, 1337, 2022,
2711, 3322, 3786, 4048, 4078, 3873, 3456, 2876, 2200, 1506,
875, 380, 78, 4, 168, 549, 1104, 1768, 2464, 3113,
3638, 3978, 4095, 3975, 3631, 3104, 2454, 1758, 1095, 542,
164, 4, 80, 385, 882, 1514, 2208, 2883, 3462, 3876,
4079, 4047, 3783, 3318, 2706, 2018, 1333, 731, 281, 36,
24, 246, 676, 1266, 1945, 2637, 3260, 3743, 4030, 4087,
3908, 3514, 2950, 2282, 1587, 945, 430, 103, 1, 135,
491, 1027, 1681, 2377, 3035, 3579, 3946, 4093, 4004, 3688,
3183, 2546, 1851, 1180, 608, 204, 12, 56, 330, 802,
1419, 2108, 2790, 3387, 3828, 4064, 4066, 3836, 3398, 2804,
2123, 1434, 815, 338, 59, 10, 197, 597, 1165, 1834,
2529, 3168, 3677, 3998, 4094, 3953, 3592, 3053, 2398, 1702,
1046, 506, 143, 1, 95, 415, 923, 1561, 2255, 2925,
3494, 3896, 4084, 4037, 3761, 3286, 2669, 1980, 1299, 704,
264, 30, 29, 261, 699, 1293, 1974, 2663, 3281, 3757,
4036, 4085, 3899, 3499, 2932, 2263, 1569, 930, 420, 98,
1, 140, 499, 1036, 1690, 2386, 3042, 3584, 3948, 4093,
4003, 3686, 3181, 2545, 1852, 1181, 610, 205, 12, 54,
326, 796, 1410, 2098, 2780, 3378, 3822, 4061, 4069, 3843,
3411, 2821, 2143, 1453, 832, 351, 65, 8, 186, 578,
1140, 1806, 2500, 3142, 3658, 3988, 4095, 3966, 3616, 3085,
2435, 1740, 1081, 533, 159, 3, 82, 388, 885, 1515,
2207, 2880, 3458, 3873, 4078, 4049, 3790, 3330, 2723, 2038,
1354, 750, 295, 42, 20, 231, 651, 1232, 1907, 2598,
3225, 3718, 4017, 4091, 3929, 3551, 3000, 2339, 1645, 997,
470, 124, 0, 111, 445, 963, 1606, 2300, 2964, 3523,
3913, 4088, 4028, 3741, 3259, 2637, 1948, 1270, 682, 251,
26, 34, 273, 716, 1312, 1993, 2680, 3294, 3765, 4039,
4084, 3895, 3493, 2926, 2257, 1565, 928, 420, 98, 1,
139, 496, 1031, 1683, 2377, 3033, 3576, 3943, 4093, 4007,
3697, 3197, 2566, 1874, 1203, 628, 217, 16, 48, 309,
770, 1378, 2063, 2746, 3348, 3802, 4054, 4075, 3864, 3445,
2865, 2191, 1501, 874, 381, 79, 4, 163, 538, 1086,
1745, 2438, 3087, 3616, 3965, 4095, 3989, 3661, 3148, 2508,
1816, 1150, 587, 192, 9, 61, 340, 814, 1431, 2118,
2796, 3389, 3829, 4064, 4067, 3840, 3406, 2817, 2140, 1452,
833, 352, 66, 7, 182, 571, 1129, 1792, 2484, 3126,
3645, 3981, 4095, 3975, 3633, 3110, 2466, 1773, 1112, 558,
175, 6, 71, 362, 847, 1469, 2157, 2832, 3418, 3847,
4070, 4061, 3821, 3379, 2784, 2105, 1419, 805, 333, 58,
10, 196, 593, 1157, 1823, 2515, 3153, 3664, 3991, 4095,
3964, 3615, 3086, 2438, 1746, 1088, 540, 164, 4, 78,
377, 867, 1492, 2181, 2854, 3435, 3858, 4073, 4057, 3811,
3363, 2765, 2085, 1400, 790, 323, 54, 12, 204, 606,
1172, 1839, 2530, 3165, 3673, 3995, 4094, 3960, 3606, 3075,
2426, 1734, 1078, 532, 160, 3, 80, 382, 874, 1500,
2189, 2861, 3441, 3861, 4074, 4056, 3808, 3359, 2760, 2080,
1396, 787, 322, 53, 13, 204, 607, 1173, 1840, 2530,
3165, 3673, 3995, 4094, 3960, 3608, 3077, 2429, 1737, 1081,
535, 162, 4, 79, 379, 869, 1494, 2182, 2854, 3435,
3857, 4073, 4057, 3813, 3367, 2770, 2091, 1407, 796, 328,
56, 11, 199, 597, 1161, 1825, 2516, 3152, 3663, 3990,
4095, 3966, 3619, 3093, 2447, 1756, 1098, 549, 170, 5,
73, 366, 851, 1472, 2159, 2833, 3417, 3846, 4069, 4062,
3825, 3386, 2794, 2118, 1433, 818, 343, 63, 8, 186,
576, 1134, 1795, 2486, 3126, 3644, 3979, 4095, 3977, 3640,
3122, 2481, 1790, 1129, 573, 184, 8, 64, 346, 821,
1436, 2121, 2797, 3388, 3826, 4062, 4069, 3845, 3417, 2833,
2160, 1473, 853, 368, 74, 5, 168, 545, 1093, 1750,
2440, 3086, 3614, 3963, 4095, 3993, 3670, 3163, 2529, 1840,
1175, 609, 206, 13, 52, 317, 779, 1386, 2067, 2747,
3346, 3799, 4052, 4077, 3871, 3459, 2885, 2217, 1529, 900,
402, 91, 2, 145, 505, 1040, 1690, 2380, 3032, 3573,
3940, 4092, 4012, 3709, 3217, 2592, 1905, 1235, 656, 236,
22, 38, 282, 726, 1321, 1998, 2681, 3292, 3761, 4036,
4085, 3903, 3510, 2951, 2289, 1600, 962, 447, 114, 0,
119, 456, 974, 1614, 2303, 2964, 3520, 3909, 4086, 4033,
3754, 3281, 2669, 1986, 1310, 718, 276, 36, 23, 241,
663, 1243, 1913, 2599, 3223, 3713, 4014, 4092, 3938, 3570,
3029, 2377, 1688, 1039, 505, 145, 2, 90, 400, 897,
1525, 2211, 2879, 3453, 3868, 4076, 4054, 3805, 3356, 2760,
2082, 1401, 793, 327, 56, 11, 196, 592, 1152, 1814,
2502, 3138, 3651, 3983, 4095, 3975, 3637, 3119, 2479, 1791,
1131, 576, 187, 9, 61, 339, 810, 1421, 2103, 2779,
3372, 3815, 4058, 4073, 3859, 3440, 2863, 2194, 1508, 884,
391, 86, 2, 150, 513, 1050, 1699, 2388, 3038, 3576,
3941, 4092, 4012, 3709, 3218, 2595, 1910, 1241, 662, 241,
24, 35, 275, 715, 1305, 1980, 2662, 3275, 3749, 4030,
4088, 3914, 3530, 2978, 2321, 1633, 992, 470, 126, 0,
105, 430, 938, 1571, 2257, 2921, 3485, 3887, 4081, 4045,
3784, 3326, 2724, 2045, 1367, 766, 309, 49, 14, 210,
613, 1178, 1841, 2527, 3160, 3666, 3990, 4095, 3968, 3624,
3103, 2462, 1774, 1117, 566, 181, 8, 64, 345, 818,
1429, 2111, 2785, 3376, 3817, 4058, 4073, 3858, 3440, 2864,
2196, 1511, 887, 394, 87, 2, 147, 507, 1041, 1688,
2375, 3026, 3566, 3935, 4091, 4017, 3720, 3235, 2615, 1932,
1262, 680, 253, 28, 30, 261, 692, 1277, 1948, 2631,
3247, 3729, 4021, 4090, 3929, 3556, 3013, 2361, 1674, 1029,
498, 143, 1, 91, 401, 896, 1522, 2206, 2873, 3446,
3862, 4074, 4057, 3814, 3372, 2780, 2106, 1426, 815, 344,
64, 8, 181, 565, 1115, 1771, 2458, 3098, 3620, 3965,
4095, 3993, 3673, 3169, 2540, 1855, 1191, 624, 217, 17,
45, 298, 748, 1345, 2020, 2699, 3304, 3768, 4038, 4085,
3902, 3510, 2954, 2296, 1610, 973, 457, 120, 0, 110,
439, 948, 1581, 2266, 2927, 3489, 3888, 4081, 4045, 3785,
3329, 2729, 2052, 1375, 773, 315, 52, 13, 202, 600,
1159, 1819, 2505, 3138, 3650, 3981, 4095, 3979, 3646, 3133,
2498, 1812, 1153, 595, 200, 12, 53, 318, 778, 1380,
2057, 2733, 3332, 3787, 4046, 4081, 3887, 3487, 2925, 2265,
1580, 948, 439, 111, 0, 119, 455, 970, 1605, 2290,
2948, 3505, 3898, 4084, 4040, 3774, 3313, 2710, 2033, 1358,
760, 306, 48, 15, 209, 610, 1172, 1832, 2517, 3149,
3657, 3985, 4095, 3976, 3640, 3126, 2491, 1806, 1148, 591,
198, 12, 54, 320, 780, 1381, 2058, 2733, 3332, 3786,
4046, 4081, 3889, 3490, 2929, 2270, 1585, 953, 443, 113,
0, 116, 449, 961, 1595, 2279, 2938, 3496, 3893, 4082,
4044, 3781, 3325, 2725, 2050, 1374, 774, 316, 52, 12,
200, 595, 1152, 1810, 2494, 3129, 3642, 3976, 4095, 3984,
3657, 3149, 2518, 1834, 1174, 612, 211, 15, 47, 303,
754, 1350, 2024, 2700, 3304, 3767, 4037, 4085, 3905, 3517,
2964, 2309, 1625, 988, 469, 127, 0, 102, 422, 923,
1550, 2233, 2895, 3462, 3871, 4076, 4054, 3808, 3364, 2774,
2102, 1424, 816, 346, 65, 7, 177, 555, 1101, 1753,
2437, 3078, 3604, 3955, 4094, 4003, 3695, 3202, 2580, 1898,
1233, 660, 241, 24, 34, 268, 701, 1285, 1954, 2633,
3247, 3727, 4019, 4091, 3935, 3568, 3031, 2384, 1700, 1054,
520, 156, 3, 79, 374, 857, 1472, 2152, 2819, 3401,
3832, 4063, 4069, 3850, 3429, 2854, 2190, 1509, 888, 397,
90, 1, 141, 494, 1020, 1661, 2344, 2995, 3540, 3918,
4088, 4030, 3751, 3281, 2675, 1998, 1326, 736, 291, 43,
18, 219, 625, 1189, 1849, 2531, 3159, 3663, 3987, 4095,
3974, 3639, 3126, 2493, 1810, 1154, 597, 202, 13, 50,
311, 764, 1361, 2034, 2709, 3310, 3770, 4038, 4085, 3904,
3517, 2966, 2312, 1629, 993, 474, 130, 1, 99, 414,
911, 1535, 2216, 2878, 3447, 3861, 4073, 4059, 3821, 3386,
2801, 2133, 1455, 843, 365, 75, 4, 161, 528, 1063,
1709, 2392, 3037, 3571, 3936, 4091, 4018, 3726, 3247, 2635,
1957, 1289, 706, 272, 35, 23, 235, 650, 1219, 1881,
2562, 3185, 3682, 3996, 4094, 3965, 3622, 3104, 2468, 1786,
1133, 581, 193, 11, 55, 321, 779, 1378, 2051, 2724,
3322, 3778, 4041, 4084, 3899, 3509, 2957, 2303, 1621, 986,
470, 128, 0, 100, 416, 913, 1536, 2216, 2878, 3447,
3860, 4072, 4060, 3823, 3390, 2807, 2140, 1463, 850, 371,
78, 3, 156, 519, 1051, 1694, 2377, 3022, 3560, 3929,
4090, 4024, 3738, 3265, 2656, 1980, 1312, 725, 285, 40,
19, 222, 629, 1192, 1851, 2531, 3158, 3661, 3986, 4095,
3977, 3645, 3136, 2506, 1825, 1169, 610, 211, 16, 45,
297, 744, 1334, 2004, 2679, 3283, 3751, 4029, 4088, 3921,
3546, 3004, 2357, 1675, 1035, 507, 149, 3, 82, 380,
863, 1476, 2154, 2819, 3399, 3829, 4062, 4071, 3856, 3441,
2871, 2210, 1531, 910, 414, 99, 0, 128, 469, 984,
1618, 2298, 2951, 3504, 3896, 4083, 4044, 3784, 3332, 2738,
2067, 1394, 794, 332, 60, 9, 183, 563, 1108, 1757,
2438, 3076, 3600, 3952, 4093, 4008, 3706, 3220, 2605, 1928,
1264, 687, 260, 31, 26, 244, 662, 1233, 1894, 2572,
3192, 3686, 3998, 4094, 3965, 3623, 3106, 2473, 1793, 1141,
589, 198, 12, 51, 311, 763, 1357, 2027, 2699, 3300,
3762, 4034, 4087, 3914, 3535, 2992, 2344, 1663, 1025, 500,
146, 2, 84, 383, 866, 1480, 2156, 2820, 3399, 3829,
4061, 4071, 3858, 3444, 2877, 2217, 1539, 917, 420, 103,
0, 124, 460, 971, 1602, 2281, 2935, 3490, 3887, 4080,
4049, 3797, 3351, 2762, 2094, 1421, 817, 349, 68, 6,
169, 540, 1077, 1721, 2401, 3042, 3573, 3936, 4091, 4020,
3731, 3257, 2649, 1975, 1309, 724, 285, 41, 18, 219,
622, 1182, 1837, 2516, 3143, 3649, 3978, 4095, 3986, 3663,
3162, 2538, 1860, 1203, 639, 230, 21, 36, 273, 705,
1286, 1950, 2625, 3236, 3716, 4013, 4093, 3947, 3592, 3067,
2429, 1750, 1103, 560, 182, 8, 60, 330, 790, 1388,
2059, 2728, 3323, 3777, 4040, 4084, 3904, 3519, 2972, 2324,
1644, 1010, 489, 140, 2, 88, 390, 875, 1489, 2164,
2826, 3403, 3830, 4062, 4071, 3858, 3445, 2879, 2221, 1544,
923, 425, 106, 0, 120, 452, 959, 1587, 2264, 2918,
3477, 3878, 4077, 4054, 3809, 3371, 2787, 2122, 1449, 842,
367, 77, 4, 155, 515, 1043, 1682, 2360, 3005, 3544,
3919, 4088, 4032, 3759, 3297, 2698, 2027, 1359, 766, 315,
53, 11, 193, 578, 1125, 1773, 2452, 3086, 3606, 3954,
4093, 4008, 3707, 3223, 2611, 1937, 1274, 697, 268, 35,
22, 232, 642, 1206, 1862, 2538, 3161, 3661, 3985, 4095,
3981, 3654, 3151, 2527, 1850, 1195, 634, 227, 21, 37,
274, 705, 1284, 1946, 2620, 3231, 3712, 4010, 4093, 3952,
3601, 3080, 2446, 1768, 1121, 575, 191, 11, 54, 316,
767, 1359, 2027, 2697, 3295, 3757, 4031, 4088, 3921, 3548,
3011, 2368, 1690, 1052, 522, 160, 4, 73, 358, 828,
1432, 2104, 2769, 3355, 3798, 4049, 4080, 3889, 3496, 2944,
2294, 1617, 987, 474, 132, 1, 94, 400, 888, 1502,
2176, 2836, 3410, 3834, 4063, 4071, 3857, 3445, 2880, 2224,
1549, 928, 430, 109, 0, 115, 442, 945, 1568, 2244,
2899, 3460, 3866, 4074, 4059, 3825, 3396, 2819, 2158, 1485,
873, 390, 89, 1, 138, 484, 1000, 1632, 2308, 2956,
3505, 3895, 4082, 4046, 3792, 3348, 2761, 2096, 1425, 823,
355, 72, 5, 161, 524, 1053, 1691, 2368, 3010, 3547,
3919, 4088, 4033, 3761, 3302, 2705, 2037, 1370, 777, 323,
57, 9, 184, 562, 1103, 1747, 2423, 3059, 3584, 3941,
4092, 4019, 3730, 3258, 2654, 1983, 1319, 735, 295, 45,
15, 206, 599, 1150, 1798, 2474, 3104, 3618, 3960, 4094,
4004, 3701, 3217, 2605, 1933, 1273, 698, 270, 36, 21,
228, 634, 1193, 1846, 2521, 3144, 3648, 3977, 4095, 3990,
3673, 3178, 2561, 1887, 1231, 664, 247, 28, 28, 249,
666, 1234, 1890, 2564, 3181, 3675, 3991, 4095, 3976, 3646,
3143, 2520, 1845, 1192, 633, 228, 21, 36, 269, 696,
1271, 1930, 2602, 3214, 3698, 4003, 4094, 3962, 3622, 3110,
2482, 1807, 1158, 606, 211, 16, 43, 288, 724, 1305,
1966, 2637, 3243, 3719, 4013, 4093, 3950, 3600, 3081, 2449,
1774, 1128, 583, 197, 13, 50, 304, 749, 1335, 1998,
2667, 3268, 3737, 4021, 4091, 3938, 3580, 3055, 2420, 1744,
1102, 562, 185, 10, 56, 319, 771, 1361, 2026, 2693,
3290, 3752, 4028, 4089, 3928, 3562, 3032, 2394, 1719, 1079,
545, 174, 7, 62, 333, 790, 1384, 2050, 2715, 3309,
3765, 4034, 4087, 3919, 3547, 3012, 2373, 1698, 1061, 531,
166, 6, 67, 344, 806, 1402, 2069, 2734, 3324, 3775,
4038, 4086, 3911, 3535, 2997, 2355, 1680, 1046, 520, 159,
4, 71, 353, 818, 1417, 2085, 2748, 3335, 3783, 4042,
4084, 3906, 3525, 2984, 2342, 1667, 1034, 511, 155, 4,
75, 360, 828, 1429, 2096, 2759, 3344, 3789, 4044, 4083,
3901, 3518, 2976, 2332, 1658, 1026, 505, 151, 3, 77,
364, 834, 1436, 2104, 2765, 3349, 3792, 4046, 4082, 3899,
3514, 2971, 2327, 1653, 1022, 502, 150, 3, 78, 366,
837, 1439, 2107, 2768, 3352, 3793, 4046, 4082, 3898, 3513,
2969, 2326, 1652, 1021, 502, 149, 3, 78, 366, 837,
1439, 2106, 2767, 3351, 3793, 4046, 4082, 3899, 3515, 2971,
2328, 1655, 1024, 504, 151, 3, 77, 364, 833, 1434,
2101, 2763, 3346, 3790, 4045, 4083, 3901, 3519, 2977, 2335,
1662, 1030, 509, 154, 4, 75, 359, 826, 1426, 2092,
2754, 3339, 3785, 4042, 4084, 3906, 3526, 2987, 2346, 1673,
1040, 516, 158, 4, 71, 352, 816, 1413, 2079, 2741,
3329, 3777, 4039, 4086, 3912, 3536, 3000, 2361, 1688, 1053,
527, 164, 5, 67, 343, 803, 1397, 2062, 2725, 3315,
3768, 4035, 4087, 3919, 3549, 3017, 2380, 1707, 1071, 540,
172, 7, 62, 332, 787, 1377, 2041, 2705, 3298, 3756,
4029, 4089, 3928, 3564, 3037, 2402, 1730, 1091, 556, 182,
9, 56, 318, 767, 1354, 2015, 2681, 3277, 3741, 4023,
4091, 3939, 3582, 3060, 2429, 1757, 1116, 576, 194, 12,
50, 303, 745, 1326, 1986, 2652, 3253, 3724, 4015, 4093,
3950, 3603, 3087, 2460, 1788, 1144, 598, 208, 16, 43,
286, 719, 1295, 1953, 2620, 3226, 3705, 4005, 4094, 3963,
3625, 3118, 2495, 1824, 1177, 624, 224, 21, 36, 268,
691, 1261, 1915, 2584, 3194, 3682, 3993, 4095, 3976, 3650,
3151, 2533, 1863, 1213, 653, 243, 27, 29, 248, 660,
1223, 1873, 2543, 3159, 3656, 3979, 4095, 3990, 3676, 3187,
2575, 1907, 1253, 686, 264, 35, 22, 227, 627, 1181,
1828, 2498, 3120, 3627, 3963, 4094, 4004, 3704, 3226, 2621,
1955, 1298, 722, 288, 44, 15, 205, 592, 1136, 1778,
2449, 3077, 3594, 3945, 4092, 4019, 3734, 3268, 2671, 2007,
1347, 762, 316, 56, 9, 182, 555, 1089, 1725, 2396,
3030, 3558, 3924, 4088, 4033, 3765, 3312, 2724, 2063, 1400,
807, 347, 70, 5, 159, 516, 1038, 1668, 2339, 2978,
3518, 3899, 4082, 4047, 3797, 3359, 2780, 2123, 1458, 856,
382, 86, 1, 136, 476, 985, 1607, 2277, 2922, 3473,
3872, 4074, 4059, 3829, 3407, 2840, 2187, 1520, 909, 420,
106, 0, 114, 435, 929, 1543, 2211, 2861, 3425, 3840,
4064, 4071, 3861, 3457, 2902, 2255, 1586, 967, 463, 129,
1, 92, 393, 871, 1475, 2140, 2796, 3371, 3805, 4050,
4081, 3893, 3508, 2967, 2327, 1657, 1029, 510, 156, 4,
71, 350, 811, 1404, 2066, 2726, 3313, 3765, 4033, 4088,
3925, 3561, 3035, 2403, 1733, 1097, 562, 187, 11, 52,
308, 749, 1330, 1987, 2651, 3250, 3721, 4012, 4093, 3955,
3614, 3104, 2482, 1813, 1169, 619, 222, 21, 36, 266,
687, 1253, 1905, 2571, 3182, 3671, 3987, 4095, 3984, 3667,
3176, 2564, 1897, 1247, 682, 263, 34, 21, 225, 623,
1174, 1818, 2487, 3108, 3616, 3957, 4093, 4011, 3719, 3248,
2650, 1986, 1330, 750, 308, 53, 10, 186, 560, 1093,
1728, 2397, 3029, 3556, 3922, 4087, 4035, 3771, 3322, 2738,
2079, 1418, 823, 360, 76, 3, 148, 496, 1010, 1634,
2303, 2944, 3490, 3881, 4077, 4056, 3821, 3397, 2828, 2176,
1511, 903, 417, 105, 0, 114, 434, 926, 1538, 2204,
2854, 3417, 3834, 4061, 4073, 3869, 3471, 2921, 2277, 1610,
988, 480, 139, 2, 83, 373, 841, 1439, 2101, 2757,
3338, 3781, 4040, 4086, 3914, 3544, 3014, 2382, 1713, 1080,
551, 180, 9, 55, 313, 757, 1337, 1993, 2655, 3253,
3721, 4012, 4093, 3956, 3616, 3109, 2489, 1822, 1179, 628,
228, 23, 33, 257, 672, 1234, 1882, 2548, 3160, 3654,
3977, 4095, 3994, 3687, 3205, 2599, 1935, 1283, 712, 284,
43, 15, 204, 589, 1129, 1767, 2435, 3061, 3580, 3935,
4090, 4027, 3754, 3299, 2711, 2053, 1394, 804, 347, 70,
4, 155, 508, 1024, 1649, 2316, 2955, 3497, 3885, 4078,
4055, 3818, 3393, 2825, 2175, 1511, 904, 418, 106, 0,
112, 429, 919, 1528, 2193, 2842, 3407, 3827, 4058, 4076,
3878, 3485, 2940, 2300, 1633, 1010, 498, 150, 3, 74,
354, 814, 1406, 2065, 2722, 3308, 3760, 4030, 4089, 3932,
3575, 3055, 2429, 1762, 1125, 586, 203, 15, 43, 284,
712, 1282, 1933, 2596, 3201, 3683, 3992, 4095, 3980, 3660,
3170, 2560, 1895, 1247, 684, 265, 36, 20, 219, 612,
1157, 1797, 2463, 3085, 3597, 3945, 4092, 4021, 3742, 3282,
2692, 2034, 1377, 791, 338, 67, 5, 160, 516, 1033,
1658, 2325, 2962, 3502, 3888, 4079, 4054, 3817, 3393, 2826,
2176, 1513, 906, 421, 108, 0, 109, 424, 910, 1517,
2181, 2830, 3396, 3819, 4055, 4078, 3886, 3499, 2959, 2322,
1656, 1031, 514, 160, 5, 67, 338, 790, 1375, 2032,
2690, 3280, 3740, 4020, 4092, 3947, 3601, 3091, 2470, 1805,
1165, 619, 224, 22, 34, 259, 673, 1233, 1879, 2543,
3154, 3649, 3973, 4095, 3999, 3697, 3221, 2621, 1960, 1308,
734, 300, 50, 11, 188, 561, 1092, 1723, 2389, 3019,
3546, 3914, 4085, 4041, 3786, 3347, 2771, 2119, 1458, 861,
388, 91, 1, 127, 456, 953, 1566, 2229, 2874, 3431,
3842, 4063, 4072, 3866, 3469, 2921, 2281, 1617, 998, 489,
146, 3, 76, 357, 817, 1407, 2064, 2720, 3304, 3756,
4028, 4090, 3937, 3584, 3069, 2447, 1782, 1145, 603, 214,
19, 37, 268, 686, 1248, 1895, 2557, 3166, 3657, 3978,
4095, 3996, 3692, 3214, 2613, 1953, 1302, 730, 297, 49,
12, 189, 562, 1092, 1723, 2387, 3016, 3543, 3912, 4085,
4043, 3790, 3353, 2779, 2128, 1468, 870, 395, 95, 0,
122, 446, 939, 1549, 2211, 2856, 3416, 3832, 4059, 4075,
3877, 3486, 2944, 2307, 1643, 1022, 508, 157, 5, 68,
339, 791, 1375, 2029, 2686, 3275, 3735, 4018, 4092, 3952,
3611, 3105, 2488, 1825, 1185, 636, 235, 26, 29, 244,
650, 1202, 1844, 2507, 3121, 3623, 3959, 4093, 4013, 3725,
3261, 2670, 2013, 1359, 778, 331, 64, 6, 162, 517,
1033, 1656, 2319, 2955, 3494, 3882, 4076, 4058, 3828, 3410,
2850, 2205, 1543, 935, 443, 121, 0, 95, 396, 869,
1467, 2126, 2776, 3350, 3787, 4041, 4086, 3916, 3550, 3026,
2400, 1736, 1105, 573, 196, 14, 45, 287, 713, 1280,
1927, 2587, 3191, 3674, 3986, 4095, 3989, 3679, 3197, 2595,
1935, 1287, 719, 291, 47, 13, 192, 567, 1096, 1726,
2389, 3017, 3543, 3911, 4084, 4044, 3794, 3360, 2789, 2140,
1481, 882, 405, 100, 0, 115, 432, 919, 1524, 2184,
2830, 3394, 3816, 4053, 4080, 3893, 3513, 2979, 2348, 1685,
1060, 538, 175, 9, 56, 311, 749, 1323, 1973, 2631,
3227, 3700, 4000, 4095, 3975, 3653, 3163, 2556, 1896, 1252,
691, 272, 39, 17, 208, 591, 1127, 1759, 2422, 3045,
3564, 3924, 4087, 4037, 3778, 3338, 2763, 2113, 1456, 861,
390, 93, 1, 122, 446, 937, 1544, 2204, 2848, 3408,
3825, 4057, 4078, 3886, 3502, 2966, 2333, 1671, 1048, 530,
171, 8, 58, 317, 756, 1331, 1981, 2638, 3233, 3704,
4001, 4095, 3974, 3651, 3161, 2554, 1895, 1251, 691, 272,
40, 17, 206, 588, 1123, 1755, 2417, 3040, 3559, 3921,
4087, 4039, 3783, 3346, 2773, 2124, 1467, 871, 398, 97,
0, 117, 436, 923, 1528, 2187, 2831, 3394, 3815, 4052,
4080, 3895, 3518, 2986, 2357, 1695, 1070, 547, 181, 10,
52, 302, 734, 1304, 1951, 2608, 3207, 3684, 3991, 4095,
3985, 3673, 3191, 2589, 1932, 1286, 720, 292, 48, 12,
189, 560, 1086, 1712, 2374, 3001, 3529, 3902, 4082, 4049,
3808, 3383, 2818, 2174, 1516, 913, 429, 114, 0, 100,
403, 878, 1474, 2131, 2778, 3350, 3785, 4040, 4086, 3920,
3559, 3040, 2418, 1757, 1126, 592, 209, 18, 38, 268,
683, 1241, 1883, 2541, 3149, 3641, 3968, 4094, 4007, 3716,
3251, 2661, 2006, 1356, 778, 333, 66, 5, 157, 506,
1016, 1633, 2293, 2928, 3471, 3865, 4071, 4065, 3850, 3447,
2898, 2261, 1601, 988, 485, 145, 3, 74, 350, 803,
1386, 2037, 2689, 3275, 3733, 4015, 4093, 3958, 3624, 3126,
2516, 1857, 1218, 665, 256, 34, 21, 219, 607, 1145,
1777, 2437, 3056, 3571, 3927, 4088, 4036, 3778, 3339, 2767,
2119, 1464, 870, 398, 98, 0, 115, 431, 915, 1517,
2174, 2818, 3381, 3806, 4048, 4083, 3905, 3535, 3010, 2385,
1725, 1098, 571, 196, 14, 43, 281, 702, 1263, 1905,
2562, 3166, 3653, 3974, 4095, 4002, 3707, 3240, 2649, 1995,
1347, 771, 328, 64, 5, 159, 509, 1018, 1634, 2294,
2927, 3469, 3864, 4070, 4066, 3853, 3452, 2906, 2270, 1611,
998, 493, 150, 4, 70, 341, 789, 1367, 2017, 2669,
3257, 3719, 4008, 4094, 3967, 3642, 3150, 2545, 1888, 1247,
690, 273, 40, 16, 202, 579, 1109, 1736, 2395, 3018,
3541, 3909, 4083, 4047, 3804, 3378, 2814, 2172, 1516, 915,
432, 116, 0, 97, 395, 865, 1457, 2111, 2758, 3331,
3771, 4033, 4089, 3934, 3583, 3073, 2457, 1798, 1166, 624,
231, 25, 29, 241, 641, 1187, 1821, 2479, 3093, 3598,
3942, 4091, 4028, 3759, 3314, 2738, 2090, 1438, 849, 384,
91, 1, 122, 443, 930, 1532, 2188, 2829, 3390, 3811,
4050, 4082, 3903, 3533, 3008, 2385, 1726, 1101, 574, 199,
15, 42, 275, 693, 1250, 1890, 2546, 3150, 3641, 3967,
4094, 4010, 3723, 3262, 2676, 2026, 1377, 798, 348, 73,
3, 144, 482, 981, 1591, 2248, 2884, 3434, 3840, 4061,
4075, 3878, 3493, 2958, 2329, 1672, 1053, 536, 176, 9,
53, 303, 732, 1298, 1941, 2595, 3193, 3672, 3983, 4095,
3995, 3694, 3223, 2631, 1978, 1333, 761, 323, 62, 6,
161, 510, 1019, 1633, 2290, 2922, 3464, 3860, 4068, 4068,
3860, 3465, 2923, 2291, 1634, 1020, 511, 161, 6, 61,
322, 760, 1331, 1976, 2628, 3220, 3692, 3994, 4095, 3985,
3675, 3198, 2602, 1949, 1306, 739, 307, 55, 8, 172,
528, 1042, 1659, 2316, 2945, 3482, 3871, 4072, 4065, 3849,
3448, 2903, 2270, 1613, 1002, 498, 154, 5, 66, 332,
774, 1347, 1993, 2644, 3234, 3701, 3998, 4095, 3980, 3667,
3187, 2589, 1936, 1294, 730, 301, 53, 9, 176, 535,
1050, 1667, 2324, 2952, 3487, 3874, 4073, 4064, 3847, 3445,
2899, 2265, 1610, 999, 496, 153, 5, 66, 332, 774,
1347, 1993, 2643, 3233, 3700, 3998, 4095, 3981, 3669, 3190,
2593, 1940, 1299, 734, 304, 54, 9, 173, 530, 1043,
1659, 2315, 2944, 3480, 3869, 4071, 4065, 3852, 3453, 2910,
2278, 1623, 1011, 505, 158, 6, 63, 324, 762, 1332,
1975, 2626, 3218, 3689, 3992, 4095, 3988, 3681, 3207, 2614,
1962, 1319, 751, 317, 60, 7, 163, 513, 1021, 1634,
2289, 2920, 3461, 3857, 4067, 4070, 3866, 3474, 2937, 2308,
1652, 1037, 526, 171, 8, 55, 306, 736, 1300, 1941,
2593, 3189, 3668, 3980, 4095, 3999, 3704, 3238, 2650, 2001,
1356, 783, 338, 70, 4, 147, 486, 984, 1592, 2246,
2880, 3428, 3835, 4059, 4077, 3886, 3507, 2979, 2355, 1699,
1080, 559, 191, 13, 44, 280, 697, 1252, 1889, 2542,
3145, 3635, 3962, 4093, 4015, 3735, 3283, 2703, 2057, 1410,
828, 371, 85, 1, 126, 448, 934, 1533, 2186, 2824,
3382, 3804, 4047, 4084, 3913, 3551, 3035, 2419, 1764, 1138,
605, 220, 22, 31, 247, 646, 1190, 1820, 2475, 3085,
3589, 3936, 4089, 4034, 3775, 3340, 2772, 2130, 1480, 888,
415, 108, 0, 101, 401, 870, 1459, 2108, 2751, 3322,
3762, 4028, 4091, 3945, 3605, 3106, 2499, 1845, 1213, 665,
259, 36, 18, 208, 585, 1113, 1735, 2390, 3009, 3530,
3900, 4081, 4053, 3821, 3408, 2856, 2221, 1568, 965, 472,
140, 3, 74, 347, 794, 1369, 2013, 2660, 3245, 3708,
4001, 4095, 3979, 3667, 3189, 2595, 1944, 1305, 741, 310,
57, 7, 165, 516, 1022, 1633, 2287, 2916, 3456, 3853,
4065, 4072, 3872, 3486, 2953, 2328, 1674, 1059, 544, 182,
11, 48, 288, 708, 1264, 1901, 2552, 3152, 3639, 3964,
4093, 4014, 3735, 3283, 2706, 2061, 1415, 833, 376, 88,
1, 122, 439, 920, 1516, 2166, 2804, 3365, 3792, 4041,
4087, 3925, 3572, 3063, 2451, 1798, 1171, 632, 238, 28,
24, 226, 613, 1147, 1772, 2425, 3040, 3554, 3914, 4084,
4047, 3806, 3387, 2831, 2195, 1544, 945, 457, 132, 2,
80, 358, 808, 1384, 2028, 2674, 3256, 3715, 4004, 4095,
3977, 3662, 3184, 2590, 1940, 1302, 740, 310, 57, 7,
164, 513, 1018, 1627, 2280, 2908, 3449, 3848, 4063, 4074,
3878, 3496, 2967, 2345, 1692, 1076, 558, 191, 14, 43,
276, 688, 1240, 1873, 2524, 3126, 3619, 3952, 4092, 4024,
3755, 3313, 2742, 2100, 1454, 867, 401, 102, 0, 107,
410, 880, 1469, 2116, 2756, 3325, 3763, 4028, 4091, 3947,
3610, 3114, 2510, 1859, 1228, 679, 269, 40, 15, 196,
565, 1084, 1701, 2354, 2975, 3502, 3881, 4075, 4062, 3846,
3446, 2905, 2277, 1625, 1017, 513, 164, 7, 57, 308,
736, 1297, 1934, 2583, 3177, 3657, 3973, 4094, 4008, 3723,
3268, 2689, 2045, 1402, 824, 370, 86, 1, 123, 441,
921, 1516, 2164, 2801, 3361, 3788, 4039, 4088, 3930, 3581,
3077, 2469, 1818, 1190, 649, 250, 33, 20, 212, 591,
1117, 1737, 2388, 3005, 3526, 3896, 4079, 4056, 3830, 3424,
2878, 2248, 1598, 993, 495, 154, 5, 63, 321, 755,
1319, 1957, 2604, 3195, 3669, 3980, 4095, 4002, 3712, 3254,
2673, 2029, 1387, 812, 362, 82, 1, 127, 448, 930,
1525, 2173, 2809, 3367, 3792, 4040, 4087, 3928, 3578, 3074,
2466, 1815, 1188, 648, 250, 33, 20, 212, 589, 1114,
1733, 2384, 3001, 3522, 3893, 4078, 4058, 3834, 3430, 2887,
2258, 1608, 1003, 503, 159, 6, 59, 313, 743, 1304,
1940, 2587, 3179, 3658, 3973, 4094, 4009, 3725, 3272, 2695,
2053, 1410, 832, 376, 90, 1, 118, 430, 906, 1497,
2143, 2780, 3343, 3775, 4032, 4090, 3941, 3601, 3104, 2501,
1852, 1223, 677, 269, 40, 15, 194, 560, 1077, 1691,
2341, 2962, 3490, 3873, 4072, 4066, 3857, 3466, 2931, 2307,
1658, 1047, 537, 180, 11, 47, 285, 701, 1252, 1884,
2532, 3131, 3621, 3952, 4092, 4025, 3759, 3321, 2754, 2116,
1471, 884, 415, 110, 0, 97, 390, 850, 1431, 2074,
2714, 3287, 3735, 4013, 4094, 3968, 3649, 3168, 2575, 1928,
1294, 735, 309, 58, 7, 161, 506, 1005, 1610, 2259,
2886, 3429, 3833, 4057, 4079, 3896, 3528, 3010, 2395, 1746,
1127, 600, 220, 23, 29, 239, 631, 1165, 1789, 2438,
3047, 3557, 3914, 4084, 4049, 3812, 3398, 2848, 2218, 1571,
971, 480, 146, 4, 67, 329, 764, 1328, 1965, 2609,
3197, 3670, 3979, 4095, 4004, 3717, 3262, 2685, 2044, 1403,
827, 374, 89, 1, 118, 429, 903, 1492, 2137, 2772,
3335, 3769, 4029, 4091, 3947, 3613, 3121, 2521, 1874, 1245,
696, 282, 46, 11, 181, 538, 1046, 1655, 2304, 2926,
3461, 3853, 4065, 4073, 3879, 3500, 2976, 2359, 1710, 1095,
576, 205, 18, 35, 254, 653, 1192, 1816, 2464, 3070,
3574, 3924, 4086, 4044, 3801, 3382, 2830, 2199, 1553, 956,
469, 141, 3, 71, 336, 774, 1339, 1975, 2618, 3204,
3674, 3982, 4095, 4003, 3715, 3259, 2683, 2043, 1403, 828,
375, 89, 0, 117, 426, 898, 1485, 2129, 2764, 3328,
3763, 4026, 4092, 3952, 3621, 3133, 2537, 1891, 1261, 709,
292, 51, 9, 172, 522, 1025, 1631, 2278, 2902, 3441,
3840, 4059, 4077, 3892, 3523, 3005, 2392, 1744, 1127, 602,
221, 23, 28, 235, 623, 1154, 1774, 2422, 3032, 3543,
3905, 4081, 4054, 3826, 3420, 2876, 2250, 1604, 1002, 504,
161, 7, 57, 305, 728, 1283, 1914, 2559, 3152, 3635,
3960, 4093, 4021, 3752, 3313, 2748, 2112, 1470, 885, 417,
112, 0, 93, 381, 836, 1411, 2051, 2690, 3264, 3718,
4004, 4095, 3981, 3674, 3205, 2620, 1978, 1343, 778, 340,
73, 3, 137, 462, 945, 1538, 2182, 2813, 3367, 3790,
4038, 4088, 3934, 3592, 3095, 2494, 1849, 1223, 679, 272,
43, 13, 186, 546, 1055, 1663, 2309, 2929, 3462, 3853,
4064, 4074, 3882, 3506, 2986, 2371, 1725, 1110, 589, 214,
21, 31, 241, 632, 1164, 1784, 2430, 3038, 3548, 3907,
4082, 4053, 3825, 3419, 2877, 2252, 1606, 1005, 508, 164,
7, 55, 300, 720, 1272, 1902, 2546, 3140, 3625, 3953,
4092, 4026, 3764, 3330, 2769, 2136, 1494, 907, 434, 121,
1, 84, 363, 809, 1379, 2016, 2655, 3234, 3695, 3992,
4095, 3994, 3700, 3241, 2663, 2024, 1387, 816, 368, 87,
1, 118, 428, 899, 1484, 2125, 2759, 3321, 3757, 4023,
4092, 3958, 3634, 3152, 2560, 1917, 1287, 733, 309, 59,
6, 156, 495, 987, 1586, 2230, 2856, 3401, 3812, 4048,
4084, 3919, 3567, 3064, 2460, 1815, 1193, 656, 258, 37,
16, 197, 562, 1075, 1684, 2329, 2947, 3475, 3861, 4067,
4072, 3876, 3499, 2977, 2363, 1718, 1105, 586, 212, 21,
31, 241, 630, 1161, 1779, 2424, 3032, 3541, 3903, 4080,
4056, 3832, 3431, 2892, 2270, 1626, 1023, 523, 173, 10,
49, 286, 698, 1244, 1870, 2513, 3110, 3602, 3939, 4089,
4036, 3786, 3363, 2810, 2181, 1539, 947, 465, 139, 3,
70, 332, 765, 1325, 1957, 2597, 3183, 3657, 3971, 4094,
4014, 3739, 3297, 2731, 2097, 1458, 877, 413, 111, 0,
93, 379, 831, 1403, 2039, 2676, 3251, 3706, 3997, 4095,
3990, 3692, 3232, 2654, 2016, 1382, 813, 366, 86, 1,
118, 426, 895, 1478, 2117, 2750, 3313, 3750, 4019, 4093,
3964, 3646, 3169, 2581, 1941, 1311, 754, 325, 66, 4,
144, 472, 956, 1549, 2190, 2818, 3369, 3789, 4038, 4089,
3938, 3600, 3109, 2512, 1870, 1245, 700, 288, 50, 9,
171, 518, 1016, 1616, 2259, 2881, 3421, 3824, 4052, 4082,
3911, 3555, 3051, 2447, 1803, 1184, 650, 255, 36, 17,
198, 561, 1072, 1679, 2323, 2939, 3467, 3855, 4064, 4074,
3884, 3512, 2996, 2386, 1742, 1129, 606, 226, 26, 25,
224, 604, 1126, 1739, 2382, 2992, 3509, 3882, 4074, 4065,
3857, 3471, 2944, 2328, 1685, 1078, 566, 201, 18, 35,
251, 644, 1176, 1794, 2436, 3041, 3547, 3906, 4081, 4055,
3832, 3432, 2896, 2276, 1633, 1032, 530, 179, 11, 45,
276, 682, 1222, 1844, 2486, 3085, 3581, 3926, 4086, 4045,
3807, 3395, 2851, 2227, 1586, 990, 498, 160, 7, 55,
300, 717, 1265, 1890, 2531, 3124, 3611, 3944, 4090, 4034,
3783, 3361, 2810, 2183, 1543, 953, 470, 143, 4, 66,
323, 750, 1304, 1932, 2572, 3159, 3637, 3959, 4092, 4024,
3762, 3330, 2773, 2143, 1505, 920, 446, 129, 2, 76,
344, 779, 1340, 1970, 2607, 3190, 3660, 3972, 4094, 4015,
3742, 3302, 2739, 2108, 1471, 891, 425, 118, 1, 85,
362, 805, 1371, 2003, 2639, 3217, 3680, 3982, 4095, 4006,
3724, 3278, 2710, 2078, 1442, 866, 406, 108, 0, 94,
379, 828, 1398, 2031, 2666, 3240, 3696, 3991, 4095, 3998,
3709, 3256, 2685, 2052, 1418, 845, 391, 100, 0, 101,
393, 848, 1421, 2055, 2688, 3259, 3710, 3998, 4095, 3991,
3695, 3238, 2665, 2030, 1397, 828, 379, 94, 0, 107,
405, 864, 1439, 2074, 2706, 3274, 3721, 4004, 4095, 3985,
3685, 3224, 2648, 2013, 1381, 815, 370, 89, 0, 113,
414, 877, 1454, 2089, 2720, 3285, 3729, 4008, 4095, 3980,
3677, 3214, 2636, 2001, 1370, 806, 363, 86, 1, 116,
421, 885, 1464, 2099, 2729, 3293, 3734, 4011, 4094, 3978,
3672, 3207, 2628, 1993, 1363, 800, 359, 84, 1, 118,
425, 890, 1469, 2105, 2734, 3297, 3737, 4012, 4094, 3976,
3669, 3203, 2625, 1989, 1360, 797, 357, 83, 1, 119,
426, 892, 1471, 2106, 2735, 3298, 3737, 4012, 4094, 3976,
3669, 3204, 2625, 1990, 1361, 798, 358, 84, 1, 118,
424, 889, 1468, 2102, 2732, 3295, 3735, 4011, 4094, 3978,
3672, 3208, 2631, 1996, 1366, 803, 362, 85, 1, 116,
420, 883, 1460, 2095, 2724, 3288, 3730, 4008, 4095, 3981,
3678, 3216, 2640, 2006, 1376, 812, 368, 89, 0, 112,
413, 873, 1449, 2082, 2712, 3278, 3723, 4004, 4095, 3985,
3687, 3228, 2654, 2021, 1390, 824, 377, 93, 0, 107,
403, 860, 1433, 2065, 2696, 3264, 3713, 3999, 4095, 3991,
3698, 3243, 2672, 2040, 1409, 840, 389, 99, 0, 101,
391, 843, 1412, 2044, 2676, 3246, 3700, 3992, 4095, 3998,
3711, 3262, 2694, 2064, 1431, 859, 403, 107, 0, 93,
376, 822, 1388, 2018, 2651, 3225, 3684, 3984, 4095, 4006,
3727, 3284, 2721, 2092, 1459, 883, 420, 116, 1, 84,
359, 798, 1359, 1987, 2621, 3199, 3665, 3973, 4094, 4015,
3745, 3310, 2752, 2125, 1490, 910, 441, 128, 2, 75,
340, 771, 1327, 1952, 2587, 3169, 3643, 3961, 4092, 4025,
3765, 3339, 2786, 2162, 1527, 942, 465, 142, 4, 65,
319, 741, 1290, 1913, 2549, 3136, 3617, 3946, 4090, 4035,
3787, 3371, 2825, 2204, 1567, 978, 492, 158, 7, 54,
296, 707, 1249, 1869, 2506, 3098, 3588, 3928, 4086, 4046,
3811, 3405, 2867, 2250, 1613, 1018, 523, 176, 11, 44,
272, 671, 1205, 1820, 2458, 3055, 3555, 3908, 4081, 4056,
3836, 3443, 2914, 2300, 1663, 1063, 558, 198, 17, 34,
246, 633, 1157, 1768, 2405, 3008, 3518, 3885, 4074, 4066,
3862, 3482, 2963, 2355, 1718, 1112, 597, 223, 26, 24,
220, 592, 1106, 1711, 2348, 2957, 3477, 3859, 4065, 4075,
3889, 3524, 3016, 2415, 1777, 1166, 640, 251, 36, 16,
193, 549, 1051, 1649, 2286, 2900, 3431, 3828, 4053, 4083,
3916, 3568, 3072, 2478, 1841, 1225, 688, 283, 49, 9,
166, 505, 993, 1584, 2220, 2838, 3381, 3794, 4038, 4089,
3943, 3613, 3131, 2545, 1910, 1289, 741, 320, 66, 3,
139, 459, 933, 1515, 2148, 2772, 3325, 3755, 4020, 4093,
3969, 3659, 3193, 2616, 1984, 1358, 799, 361, 86, 0,
113, 413, 871, 1442, 2072, 2700, 3265, 3712, 3998, 4095,
3994, 3706, 3257, 2691, 2062, 1433, 863, 407, 110, 0,
88, 366, 806, 1366, 1992, 2623, 3199, 3663, 3971, 4094,
4018, 3753, 3322, 2768, 2145, 1513, 932, 458, 139, 3,
66, 319, 740, 1286, 1907, 2541, 3127, 3609, 3940, 4089,
4040, 3799, 3389, 2849, 2232, 1598, 1006, 515, 172, 11,
45, 273, 672, 1204, 1817, 2453, 3049, 3549, 3904, 4079,
4059, 3844, 3457, 2933, 2324, 1688, 1087, 578, 212, 22,
28, 228, 604, 1120, 1724, 2360, 2966, 3483, 3862, 4065,
4075, 3888, 3525, 3019, 2419, 1783, 1173, 648, 257, 39,
14, 185, 536, 1033, 1627, 2262, 2876, 3410, 3813, 4046,
4086, 3930, 3592, 3106, 2518, 1884, 1266, 723, 308, 61,
5, 145, 469, 945, 1527, 2159, 2780, 3331, 3758, 4021,
4093, 3969, 3659, 3195, 2620, 1989, 1365, 806, 367, 89,
0, 108, 403, 856, 1423, 2051, 2678, 3245, 3696, 3989,
4095, 4004, 3725, 3284, 2724, 2100, 1470, 896, 433, 125,
2, 75, 339, 766, 1317, 1939, 2570, 3151, 3627, 3950,
4090, 4034, 3787, 3373, 2831, 2214, 1581, 993, 506, 167,
9, 47, 277, 678, 1210, 1822, 2456, 3051, 3549, 3903,
4079, 4060, 3847, 3461, 2940, 2333, 1698, 1097, 588, 218,
24, 25, 220, 590, 1100, 1702, 2336, 2943, 3463, 3848,
4060, 4079, 3902, 3548, 3049, 2455, 1821, 1209, 678, 278,
47, 9, 167, 505, 991, 1578, 2210, 2827, 3369, 3784,
4033, 4091, 3953, 3632, 3159, 2580, 1949, 1328, 776, 346,
79, 1, 119, 422, 881, 1452, 2080, 2705, 3266, 3711,
3997, 4095, 3997, 3712, 3268, 2707, 2082, 1454, 883, 424,
120, 1, 78, 344, 773, 1324, 1945, 2575, 3155, 3628,
3950, 4090, 4035, 3788, 3375, 2835, 2220, 1588, 1000, 512,
171, 11, 45, 271, 667, 1195, 1805, 2438, 3034, 3535,
3894, 4076, 4064, 3859, 3480, 2964, 2361, 1727, 1125, 610,
233, 30, 20, 204, 564, 1066, 1662, 2295, 2905, 3432,
3827, 4051, 4084, 3922, 3581, 3093, 2505, 1873, 1258, 719,
306, 60, 5, 144, 466, 938, 1517, 2147, 2767, 3318,
3748, 4015, 4094, 3978, 3676, 3220, 2651, 2024, 1400, 838,
391, 103, 0, 93, 373, 813, 1371, 1993, 2621, 3194,
3657, 3967, 4093, 4024, 3766, 3344, 2798, 2180, 1550, 967,
488, 157, 7, 52, 287, 691, 1224, 1835, 2467, 3059,
3554, 3905, 4079, 4059, 3847, 3463, 2944, 2340, 1707, 1107,
597, 225, 27, 22, 210, 574, 1078, 1674, 2307, 2914,
3439, 3831, 4053, 4083, 3920, 3578, 3090, 2502, 1871, 1257,
719, 307, 61, 4, 143, 463, 934, 1511, 2140, 2759,
3311, 3742, 4012, 4094, 3982, 3685, 3232, 2666, 2041, 1417,
853, 402, 109, 0, 87, 360, 794, 1348, 1968, 2595,
3171, 3639, 3956, 4091, 4032, 3783, 3369, 2829, 2215, 1585,
999, 512, 172, 11, 43, 267, 660, 1185, 1792, 2423,
3019, 3522, 3885, 4073, 4068, 3871, 3500, 2991, 2392, 1761,
1156, 637, 252, 37, 14, 185, 532, 1024, 1613, 2244,
2856, 3390, 3798, 4038, 4089, 3947, 3623, 3150, 2571, 1943,
1325, 776, 347, 81, 1, 116, 414, 868, 1434, 2058,
2681, 3244, 3694, 3986, 4095, 4008, 3736, 3303, 2751, 2131,
1504, 929, 460, 141, 4, 61, 307, 718, 1255, 1868,
2498, 3085, 3573, 3916, 4082, 4055, 3837, 3449, 2928, 2323,
1692, 1095, 589, 220, 26, 23, 213, 576, 1080, 1675,
2306, 2912, 3436, 3828, 4051, 4084, 3924, 3586, 3101, 2517,
1888, 1274, 734, 318, 67, 3, 133, 445, 909, 1481,
2107, 2727, 3282, 3721, 4000, 4095, 3995, 3711, 3269, 2711,
2090, 1465, 895, 435, 128, 2, 71, 327, 746, 1288,
1903, 2531, 3113, 3594, 3929, 4086, 4049, 3822, 3428, 2902,
2296, 1666, 1072, 571, 209, 22, 27, 223, 592, 1099,
1695, 2326, 2929, 3449, 3837, 4055, 4083, 3918, 3576, 3089,
2503, 1875, 1263, 725, 312, 64, 3, 136, 450, 915,
1488, 2113, 2732, 3286, 3723, 4002, 4095, 3995, 3710, 3268,
2711, 2090, 1466, 897, 437, 129, 2, 69, 324, 741,
1282, 1895, 2523, 3106, 3588, 3925, 4084, 4051, 3828, 3437,
2915, 2310, 1681, 1086, 582, 217, 25, 24, 214, 578,
1081, 1674, 2304, 2909, 3432, 3825, 4050, 4085, 3928, 3593,
3112, 2531, 1904, 1290, 748, 329, 72, 2, 125, 429,
887, 1454, 2077, 2697, 3256, 3701, 3990, 4095, 4007, 3733,
3301, 2750, 2133, 1508, 934, 465, 145, 5, 58, 298,
704, 1237, 1846, 2474, 3062, 3554, 3904, 4078, 4062, 3855,
3477, 2965, 2366, 1737, 1137, 624, 244, 35, 16, 188,
535, 1026, 1612, 2240, 2849, 3383, 3791, 4035, 4091, 3954,
3638, 3171, 2599, 1975, 1357, 805, 370, 93, 0, 100,
384, 825, 1380, 1999, 2622, 3191, 3653, 3963, 4092, 4029,
3779, 3366, 2829, 2218, 1591, 1007, 521, 179, 13, 39,
253, 637, 1154, 1755, 2383, 2980, 3489, 3862, 4064, 4077,
3898, 3545, 3051, 2463, 1836, 1228, 698, 295, 56, 5,
147, 467, 936, 1510, 2134, 2750, 3300, 3732, 4006, 4095,
3992, 3705, 3263, 2706, 2088, 1466, 898, 438, 130, 3,
67, 318, 732, 1269, 1879, 2506, 3089, 3574, 3916, 4082,
4057, 3842, 3460, 2944, 2344, 1716, 1120, 610, 236, 32,
17, 194, 544, 1036, 1623, 2249, 2857, 3389, 3794, 4036,
4090, 3953, 3637, 3171, 2600, 1977, 1360, 808, 373, 95,
0, 98, 378, 816, 1369, 1986, 2608, 3178, 3642, 3956,
4091, 4034, 3790, 3383, 2851, 2243, 1617, 1031, 540, 192,
17, 33, 238, 613, 1122, 1718, 2346, 2945, 3460, 3842,
4056, 4082, 3917, 3576, 3092, 2510, 1885, 1275, 737, 322,
70, 2, 127, 431, 887, 1452, 2073, 2691, 3249, 3695,
3985, 4095, 4012, 3745, 3319, 2774, 2160, 1536, 961, 487,
159, 8, 49, 276, 670, 1193, 1796, 2422, 3014, 3514,
3878, 4070, 4072, 3885, 3526, 3028, 2438, 1812, 1208, 682,
285, 52, 7, 152, 475, 945, 1519, 2142, 2756, 3303,
3734, 4006, 4095, 3992, 3707, 3267, 2713, 2097, 1475, 908,
447, 136, 4, 63, 307, 715, 1247, 1855, 2480, 3064,
3554, 3903, 4078, 4063, 3860, 3487, 2979, 2385, 1758, 1159,
643, 259, 41, 11, 172, 508, 988, 1567, 2191, 2801,
3341, 3760, 4019, 4094, 3977, 3680, 3230, 2670, 2052, 1433,
872, 420, 121, 2, 73, 330, 747, 1285, 1895, 2518,
3098, 3580, 3919, 4082, 4056, 3842, 3460, 2947, 2349, 1724,
1128, 619, 242, 35, 15, 185, 529, 1015, 1597, 2221,
2829, 3364, 3776, 4027, 4093, 3968, 3663, 3208, 2645, 2026,
1409, 851, 405, 113, 1, 80, 342, 764, 1305, 1916,
2539, 3116, 3593, 3926, 4084, 4052, 3833, 3448, 2932, 2333,
1708, 1114, 608, 236, 32, 17, 191, 538, 1026, 1609,
2233, 2839, 3372, 3781, 4029, 4092, 3965, 3658, 3202, 2638,
2019, 1403, 847, 402, 111, 1, 81, 344, 766, 1307,
1918, 2540, 3117, 3594, 3926, 4084, 4052, 3834, 3449, 2934,
2336, 1711, 1118, 611, 238, 33, 16, 188, 534, 1020,
1602, 2225, 2832, 3365, 3777, 4027, 4093, 3968, 3665, 3212,
2650, 2032, 1415, 857, 411, 116, 1, 77, 335, 754,
1292, 1901, 2523, 3101, 3581, 3919, 4082, 4056, 3844, 3464,
2953, 2357, 1733, 1138, 627, 249, 38, 13, 178, 517,
998, 1576, 2198, 2807, 3344, 3761, 4019, 4094, 3978, 3683,
3236, 2679, 2063, 1445, 884, 430, 127, 2, 68, 317,
727, 1259, 1865, 2488, 3070, 3556, 3903, 4078, 4064, 3862,
3492, 2988, 2397, 1773, 1175, 658, 269, 46, 9, 161,
488, 959, 1532, 2153, 2763, 3308, 3735, 4006, 4095, 3994,
3712, 3276, 2726, 2113, 1494, 926, 463, 146, 6, 55,
289, 686, 1209, 1810, 2433, 3021, 3518, 3878, 4069, 4073,
3888, 3533, 3041, 2456, 1833, 1230, 703, 301, 60, 4,
137, 447, 906, 1470, 2088, 2702, 3255, 3697, 3985, 4094,
4014, 3751, 3330, 2791, 2183, 1562, 986, 508, 173, 12,
39, 253, 632, 1143, 1737, 2360, 2954, 3464, 3843, 4056,
4083, 3921, 3586, 3108, 2533, 1912, 1304, 765, 344, 81,
1, 109, 397, 838, 1391, 2004, 2622, 3186, 3645, 3956,
4091, 4036, 3798, 3397, 2872, 2271, 1648, 1063, 569, 212,
24, 24, 210, 567, 1060, 1645, 2267, 2869, 3395, 3796,
4035, 4091, 3958, 3648, 3190, 2627, 2010, 1397, 843, 401,
112, 1, 79, 339, 757, 1295, 1901, 2522, 3098, 3578,
3916, 4081, 4059, 3850, 3476, 2969, 2377, 1755, 1160, 646,
263, 44, 10, 164, 492, 964, 1536, 2155, 2764, 3307,
3734, 4005, 4095, 3996, 3718, 3285, 2738, 2127, 1509, 941,
475, 154, 7, 49, 276, 666, 1183, 1780, 2402, 2991,
3493, 3862, 4063, 4078, 3906, 3563, 3080, 2501, 1881, 1276,
742, 329, 74, 1, 117, 411, 856, 1410, 2023, 2639,
3200, 3655, 3961, 4091, 4033, 3792, 3390, 2864, 2263, 1642,
1059, 566, 210, 24, 24, 210, 566, 1058, 1641, 2262,
2863, 3389, 3791, 4033, 4092, 3962, 3656, 3202, 2642, 2027,
1414, 859, 414, 119, 1, 73, 326, 737, 1269, 1873,
2493, 3072, 3556, 3902, 4077, 4065, 3867, 3502, 3004, 2417,
1796, 1198, 679, 285, 54, 6, 146, 461, 922, 1486,
2102, 2713, 3263, 3701, 3987, 4095, 4014, 3752, 3334, 2797,
2192, 1573, 998, 519, 181, 15, 35, 240, 612, 1116,
1705, 2326, 2921, 3436, 3823, 4047, 4087, 3940, 3619, 3154,
2587, 1970, 1360, 814, 381, 101, 0, 87, 354, 777,
1316, 1923, 2541, 3113, 3588, 3921, 4082, 4057, 3846, 3471,
2965, 2374, 1754, 1161, 649, 265, 45, 9, 160, 484,
952, 1521, 2137, 2746, 3290, 3720, 3997, 4095, 4005, 3735,
3311, 2770, 2164, 1546, 975, 502, 171, 12, 40, 251,
628, 1135, 1726, 2346, 2938, 3449, 3832, 4051, 4086, 3934,
3609, 3141, 2573, 1957, 1349, 805, 375, 98, 0, 90,
359, 783, 1323, 1929, 2546, 3118, 3591, 3923, 4083, 4056,
3846, 3470, 2965, 2375, 1755, 1162, 651, 267, 46, 9,
158, 480, 946, 1513, 2129, 2737, 3282, 3714, 3994, 4095,
4009, 3743, 3322, 2784, 2179, 1562, 989, 513, 178, 14,
36, 242, 613, 1116, 1703, 2323, 2917, 3431, 3819, 4045,
4088, 3944, 3627, 3165, 2601, 1987, 1378, 830, 393, 108,
1, 80, 339, 755, 1289, 1892, 2509, 3085, 3565, 3906,
4078, 4064, 3866, 3501, 3003, 2419, 1800, 1204, 685, 290,
57, 5, 140, 449, 904, 1464, 2077, 2687, 3239, 3682,
3976, 4093, 4024, 3774, 3366, 2838, 2238, 1620, 1041, 555,
204, 22, 25, 213, 568, 1058, 1639, 2257, 2855, 3380,
3784, 4029, 4093, 3970, 3672, 3225, 2671, 2060, 1448, 891,
439, 134, 4, 60, 297, 695, 1215, 1812, 2430, 3013,
3508, 3870, 4065, 4077, 3903, 3560, 3080, 2505, 1888, 1286,
753, 339, 80, 1, 108, 392, 827, 1374, 1981, 2595,
3159, 3622, 3941, 4087, 4048, 3826, 3442, 2931, 2340, 1721,
1133, 628, 252, 40, 11, 167, 495, 964, 1532, 2147,
2752, 3294, 3722, 3997, 4095, 4006, 3739, 3318, 2781, 2178,
1562, 991, 516, 180, 15, 34, 237, 605, 1104, 1689,
2306, 2900, 3417, 3808, 4040, 4090, 3954, 3645, 3190, 2631,
2020, 1410, 859, 416, 121, 2, 69, 315, 720, 1245,
1843, 2460, 3039, 3528, 3882, 4070, 4073, 3893, 3544, 3060,
2483, 1867, 1267, 738, 329, 75, 1, 113, 401, 838,
1386, 1993, 2606, 3167, 3627, 3944, 4088, 4046, 3823, 3439,
2928, 2337, 1720, 1133, 628, 253, 41, 11, 166, 492,
959, 1525, 2139, 2744, 3286, 3715, 3993, 4095, 4010, 3747,
3330, 2797, 2195, 1580, 1007, 529, 189, 17, 30, 226,
587, 1081, 1662, 2279, 2874, 3394, 3793, 4032, 4092, 3966,
3666, 3219, 2666, 2057, 1447, 891, 441, 136, 4, 58,
292, 686, 1203, 1796, 2413, 2996, 3493, 3859, 4061, 4080,
3915, 3581, 3107, 2538, 1924, 1321, 784, 362, 92, 0,
93, 364, 787, 1324, 1927, 2540, 3110, 3582, 3916, 4081,
4061, 3859, 3492, 2995, 2412, 1796, 1203, 686, 293, 58,
4, 135, 439, 889, 1443, 2053, 2661, 3215, 3662, 3964,
4092, 4034, 3797, 3402, 2884, 2290, 1674, 1092, 597, 233,
33, 15, 182, 517, 991, 1560, 2173, 2775, 3312, 3733,
4003, 4095, 4002, 3733, 3310, 2774, 2172, 1559, 990, 516,
181, 15, 33, 233, 597, 1092, 1673, 2289, 2882, 3400,
3796, 4034, 4092, 3965, 3665, 3219, 2667, 2059, 1450, 895,
444, 138, 5, 56, 287, 678, 1192, 1783, 2398, 2982,
3481, 3851, 4057, 4083, 3924, 3596, 3128, 2562, 1950, 1347,
807, 379, 102, 0, 84, 344, 759, 1289, 1889, 2502,
3075, 3554, 3898, 4075, 4069, 3880, 3526, 3038, 2461, 1847,
1251, 727, 322, 72, 1, 115, 403, 839, 1384, 1990,
2600, 3160, 3621, 3939, 4086, 4050, 3833, 3455, 2950, 2364,
1749, 1161, 653, 271, 49, 7, 149, 462, 918, 1476,
2086, 2692, 3239, 3680, 3973, 4093, 4028, 3785, 3385, 2865,
2271, 1657, 1078, 587, 227, 31, 17, 185, 522, 996,
1565, 2177, 2777, 3312, 3733, 4002, 4095, 4004, 3736, 3317,
2783, 2183, 1571, 1001, 526, 188, 18, 30, 223, 581,
1071, 1649, 2263, 2857, 3378, 3780, 4026, 4093, 3977, 3687,
3249, 2704, 2099, 1490, 931, 472, 155, 8, 45, 262,
639, 1144, 1729, 2343, 2930, 3438, 3821, 4045, 4089, 3949,
3638, 3184, 2629, 2020, 1415, 866, 423, 127, 3, 63,
301, 696, 1213, 1805, 2418, 2998, 3493, 3858, 4060, 4081,
3920, 3590, 3122, 2557, 1947, 1345, 807, 380, 103, 0,
82, 340, 751, 1279, 1876, 2488, 3061, 3542, 3890, 4072,
4072, 3891, 3544, 3062, 2490, 1878, 1281, 753, 341, 83,
0, 102, 378, 804, 1341, 1942, 2552, 3117, 3586, 3917,
4081, 4061, 3861, 3499, 3006, 2427, 1815, 1223, 705, 307,
66, 2, 122, 414, 853, 1399, 2003, 2611, 3169, 3626,
3941, 4087, 4050, 3833, 3456, 2953, 2369, 1756, 1169, 661,
277, 52, 6, 142, 449, 900, 1453, 2060, 2665, 3215,
3661, 3962, 4091, 4037, 3806, 3416, 2904, 2316, 1703, 1121,
622, 251, 41, 10, 162, 483, 943, 1503, 2111, 2714,
3257, 3691, 3979, 4094, 4025, 3780, 3379, 2859, 2267, 1655,
1078, 588, 229, 32, 16, 181, 513, 983, 1548, 2158,
2757, 3293, 3718, 3993, 4095, 4013, 3755, 3345, 2818, 2223,
1612, 1040, 558, 209, 25, 21, 199, 542, 1019, 1588,
2199, 2796, 3326, 3741, 4006, 4095, 4001, 3733, 3314, 2782,
2184, 1574, 1007, 532, 193, 19, 27, 215, 567, 1051,
1624, 2235, 2829, 3354, 3761, 4016, 4095, 3991, 3713, 3287,
2750, 2150, 1541, 978, 510, 179, 15, 33, 230, 589,
1079, 1655, 2266, 2858, 3377, 3778, 4024, 4094, 3981, 3695,
3263, 2722, 2121, 1514, 954, 491, 168, 12, 38, 243,
609, 1103, 1682, 2293, 2882, 3397, 3791, 4030, 4093, 3972,
3681, 3243, 2699, 2097, 1491, 934, 476, 159, 10, 42,
253, 625, 1123, 1703, 2314, 2901, 3413, 3802, 4035, 4092,
3966, 3669, 3227, 2681, 2078, 1472, 918, 464, 152, 8,
46, 262, 637, 1138, 1719, 2330, 2916, 3425, 3810, 4039,
4091, 3960, 3660, 3215, 2667, 2064, 1459, 907, 456, 147,
7, 48, 268, 646, 1148, 1731, 2342, 2926, 3433, 3816,
4042, 4090, 3957, 3653, 3207, 2658, 2055, 1451, 900, 451,
144, 6, 50, 272, 651, 1155, 1738, 2348, 2932, 3437,
3819, 4043, 4090, 3955, 3650, 3204, 2654, 2051, 1447, 897,
449, 143, 6, 51, 273, 653, 1156, 1739, 2350, 2933,
3438, 3819, 4043, 4090, 3955, 3651, 3204, 2655, 2052, 1448,
898, 450, 143, 6, 50, 272, 651, 1154, 1736, 2346,
2930, 3435, 3817, 4042, 4090, 3957, 3654, 3208, 2660, 2057,
1454, 903, 454, 146, 7, 49, 268, 645, 1147, 1728,
2338, 2922, 3428, 3812, 4040, 4091, 3960, 3660, 3217, 2670,
2068, 1464, 912, 461, 150, 8, 46, 262, 636, 1135,
1715, 2324, 2909, 3418, 3805, 4036, 4091, 3965, 3669, 3230,
2685, 2084, 1480, 926, 472, 157, 9, 42, 253, 623,
1119, 1697, 2306, 2892, 3404, 3795, 4032, 4093, 3972, 3682,
3246, 2705, 2105, 1500, 944, 485, 165, 11, 38, 242,
607, 1098, 1674, 2283, 2871, 3386, 3782, 4026, 4094, 3981,
3697, 3267, 2729, 2131, 1525, 966, 503, 176, 14, 33,
230, 587, 1074, 1646, 2255, 2844, 3364, 3767, 4018, 4094,
3990, 3714, 3291, 2758, 2162, 1556, 993, 524, 189, 18,
27, 215, 564, 1045, 1614, 2221, 2813, 3338, 3748, 4008,
4095, 4001, 3734, 3319, 2791, 2197, 1591, 1024, 548, 205,
24, 22, 198, 539, 1012, 1577, 2183, 2777, 3307, 3726,
3996, 4095, 4013, 3757, 3350, 2829, 2238, 1631, 1060, 577,
223, 31, 16, 181, 510, 975, 1535, 2140, 2736, 3272,
3700, 3982, 4094, 4025, 3781, 3385, 2870, 2284, 1676, 1101,
610, 245, 39, 11, 162, 479, 935, 1488, 2091, 2690,
3233, 3671, 3966, 4091, 4037, 3807, 3423, 2917, 2334, 1726,
1147, 647, 270, 50, 6, 142, 446, 890, 1437, 2038,
2639, 3188, 3637, 3946, 4087, 4049, 3835, 3463, 2967, 2389,
1782, 1198, 688, 299, 63, 2, 122, 410, 843, 1382,
1979, 2583, 3139, 3599, 3923, 4081, 4061, 3863, 3506, 3020,
2449, 1842, 1254, 735, 332, 79, 0, 101, 373, 793,
1323, 1916, 2521, 3084, 3557, 3896, 4073, 4072, 3893, 3551,
3077, 2513, 1908, 1315, 787, 369, 99, 0, 81, 335,
740, 1259, 1848, 2454, 3025, 3509, 3865, 4062, 4081, 3922,
3598, 3138, 2582, 1979, 1382, 844, 411, 122, 3, 62,
297, 685, 1192, 1775, 2382, 2959, 3456, 3830, 4047, 4088,
3951, 3646, 3201, 2655, 2055, 1455, 906, 458, 150, 8,
45, 258, 627, 1122, 1698, 2304, 2888, 3398, 3789, 4028,
4093, 3979, 3695, 3267, 2731, 2136, 1533, 975, 511, 182,
17, 29, 219, 569, 1049, 1616, 2221, 2811, 3334, 3744,
4005, 4095, 4005, 3744, 3334, 2811, 2222, 1617, 1050, 570,
220, 30, 16, 181, 509, 973, 1530, 2132, 2727, 3263,
3692, 3977, 4093, 4030, 3793, 3403, 2895, 2312, 1706, 1130,
635, 263, 47, 7, 145, 450, 894, 1440, 2039, 2638,
3186, 3634, 3943, 4087, 4051, 3841, 3473, 2981, 2407, 1802,
1218, 706, 312, 70, 1, 111, 390, 815, 1347, 1940,
2543, 3102, 3570, 3904, 4075, 4070, 3887, 3544, 3069, 2506,
1902, 1311, 785, 369, 99, 0, 80, 332, 734, 1251,
1837, 2442, 3012, 3498, 3857, 4058, 4083, 3931, 3614, 3160,
2609, 2008, 1412, 870, 432, 135, 5, 53, 276, 653,
1152, 1729, 2334, 2914, 3419, 3803, 4034, 4092, 3971, 3683,
3251, 2714, 2120, 1518, 964, 503, 178, 16, 31, 222,
572, 1052, 1618, 2221, 2810, 3332, 3742, 4004, 4095, 4008,
3749, 3343, 2823, 2235, 1632, 1064, 582, 229, 33, 14,
171, 493, 950, 1503, 2103, 2698, 3237, 3672, 3965, 4091,
4039, 3813, 3434, 2933, 2356, 1751, 1173, 670, 288, 59,
3, 126, 416, 848, 1384, 1979, 2579, 3133, 3593, 3918,
4080, 4064, 3874, 3524, 3045, 2480, 1877, 1289, 767, 356,
93, 0, 85, 342, 746, 1264, 1850, 2454, 3022, 3505,
3861, 4059, 4083, 3929, 3611, 3157, 2607, 2008, 1412, 872,
434, 137, 5, 52, 272, 646, 1143, 1718, 2322, 2902,
3407, 3795, 4030, 4093, 3978, 3695, 3269, 2737, 2144, 1544,
987, 522, 190, 20, 25, 207, 549, 1021, 1582, 2183,
2773, 3300, 3718, 3991, 4094, 4020, 3775, 3379, 2868, 2285,
1682, 1111, 620, 254, 44, 8, 149, 455, 899, 1443,
2039, 2637, 3183, 3630, 3940, 4086, 4054, 3849, 3487, 3000,
2430, 1827, 1243, 730, 330, 80, 0, 98, 366, 779,
1303, 1891, 2492, 3055, 3531, 3878, 4066, 4079, 3915, 3590,
3131, 2577, 1978, 1385, 849, 418, 127, 4, 57, 283,
662, 1162, 1738, 2341, 2918, 3420, 3803, 4034, 4092, 3974,
3688, 3260, 2727, 2135, 1535, 980, 518, 188, 19, 26,
208, 550, 1021, 1582, 2182, 2771, 3298, 3716, 3989, 4094,
4022, 3779, 3386, 2877, 2296, 1693, 1122, 630, 261, 47,
7, 142, 443, 883, 1424, 2018, 2615, 3163, 3615, 3930,
4083, 4059, 3862, 3507, 3026, 2460, 1859, 1274, 756, 349,
90, 0, 87, 344, 748, 1265, 1849, 2451, 3017, 3500,
3857, 4057, 4084, 3935, 3622, 3173, 2627, 2030, 1435, 894,
452, 147, 8, 44, 254, 619, 1107, 1677, 2279, 2860,
3372, 3769, 4017, 4095, 3996, 3728, 3316, 2794, 2207, 1606,
1044, 569, 221, 31, 15, 175, 497, 952, 1502, 2100,
2692, 3229, 3664, 3960, 4090, 4044, 3825, 3453, 2960, 2387,
1786, 1207, 701, 310, 70, 1, 108, 383, 801, 1327,
1915, 2515, 3074, 3544, 3886, 4068, 4077, 3910, 3582, 3123,
2570, 1972, 1381, 847, 417, 128, 4, 56, 280, 657,
1153, 1727, 2328, 2905, 3408, 3794, 4029, 4093, 3981, 3702,
3281, 2753, 2164, 1565, 1008, 541, 203, 24, 20, 191,
521, 983, 1537, 2135, 2725, 3257, 3684, 3971, 4092, 4037,
3810, 3432, 2934, 2360, 1759, 1183, 681, 297, 64, 2,
116, 396, 818, 1346, 1935, 2533, 3090, 3556, 3893, 4071,
4075, 3904, 3573, 3111, 2558, 1960, 1370, 839, 411, 124,
3, 58, 284, 661, 1158, 1732, 2332, 2908, 3410, 3795,
4029, 4093, 3981, 3703, 3282, 2755, 2167, 1569, 1012, 544,
206, 25, 19, 187, 515, 975, 1527, 2123, 2713, 3246,
3676, 3966, 4091, 4040, 3818, 3444, 2950, 2378, 1778, 1201,
697, 309, 70, 1, 108, 382, 798, 1322, 1909, 2507,
3065, 3537, 3880, 4066, 4079, 3917, 3595, 3139, 2590, 1995,
1404, 868, 434, 138, 6, 49, 264, 632, 1121, 1690,
2290, 2869, 3377, 3771, 4017, 4095, 3996, 3730, 3320, 2801,
2217, 1619, 1057, 580, 229, 35, 12, 165, 479, 927,
1472, 2066, 2658, 3198, 3639, 3944, 4086, 4054, 3849, 3490,
3007, 2442, 1843, 1262, 748, 345, 89, 0, 87, 341,
742, 1255, 1836, 2435, 3000, 3484, 3845, 4052, 4087, 3947,
3645, 3206, 2667, 2076, 1482, 936, 486, 169, 14, 32,
223, 571, 1044, 1604, 2202, 2786, 3307, 3720, 3991, 4094,
4023, 3782, 3393, 2889, 2313, 1714, 1143, 650, 277, 55,
4, 127, 415, 843, 1373, 1961, 2557, 3109, 3570, 3901,
4073, 4073, 3898, 3566, 3103, 2551, 1955, 1367, 838, 412,
125, 3, 56, 279, 654, 1147, 1718, 2316, 2892, 3395,
3783, 4023, 4094, 3990, 3720, 3307, 2787, 2203, 1606, 1047,
573, 225, 33, 13, 167, 482, 930, 1474, 2066, 2658,
3197, 3637, 3943, 4086, 4055, 3853, 3496, 3016, 2453, 1856,
1275, 760, 354, 94, 0, 81, 330, 725, 1234, 1811,
2409, 2976, 3464, 3831, 4045, 4090, 3959, 3666, 3235, 2702,
2114, 1519, 970, 513, 187, 19, 25, 203, 538, 1002,
1555, 2150, 2737, 3264, 3688, 3972, 4092, 4037, 3813, 3438,
2945, 2375, 1778, 1203, 700, 312, 72, 1, 104, 372,
783, 1302, 1885, 2481, 3041, 3515, 3865, 4060, 4083, 3933,
3622, 3177, 2636, 2045, 1454, 913, 470, 160, 11, 36,
232, 582, 1058, 1617, 2214, 2796, 3314, 3724, 3992, 4094,
4022, 3782, 3394, 2892, 2318, 1720, 1151, 658, 283, 58,
3, 122, 404, 826, 1352, 1938, 2532, 3086, 3551, 3888,
4069, 4077, 3913, 3591, 3137, 2590, 1997, 1409, 875, 441,
143, 7, 45, 253, 613, 1096, 1659, 2256, 2834, 3346,
3747, 4004, 4095, 4012, 3761, 3365, 2857, 2281, 1684, 1118,
632, 265, 50, 5, 133, 424, 853, 1383, 1970, 2563,
3112, 3571, 3901, 4073, 4073, 3901, 3572, 3113, 2564, 1971,
1384, 854, 425, 134, 5, 50, 264, 630, 1116, 1681,
2277, 2853, 3362, 3758, 4010, 4095, 4006, 3751, 3352, 2842,
2264, 1668, 1105, 621, 258, 47, 6, 138, 432, 863,
1394, 1981, 2573, 3121, 3578, 3905, 4074, 4072, 3898, 3567,
3107, 2558, 1965, 1379, 850, 423, 133, 5, 50, 265,
631, 1117, 1681, 2277, 2853, 3361, 3758, 4010, 4095, 4007,
3753, 3355, 2845, 2269, 1673, 1109, 625, 261, 49, 5,
135, 427, 855, 1385, 1971, 2563, 3112, 3570, 3900, 4073,
4074, 3904, 3576, 3120, 2572, 1980, 1394, 863, 433, 139,
6, 47, 256, 617, 1099, 1662, 2257, 2834, 3345, 3746,
4003, 4095, 4014, 3766, 3373, 2868, 2294, 1699, 1133, 645,
275, 55, 4, 125, 409, 831, 1357, 1940, 2533, 3085,
3549, 3886, 4067, 4078, 3918, 3599, 3149, 2607, 2016, 1429,
894, 456, 153, 10, 39, 237, 589, 1064, 1621, 2215,
2795, 3311, 3721, 3990, 4094, 4026, 3790, 3408, 2910, 2340,
1745, 1176, 680, 300, 67, 1, 108, 379, 791, 1309,
1889, 2482, 3039, 3512, 3861, 4058, 4085, 3940, 3635, 3196,
2661, 2074, 1484, 942, 494, 176, 16, 28, 210, 547,
1010, 1561, 2153, 2736, 3261, 3684, 3968, 4091, 4041, 3824,
3456, 2970, 2406, 1812, 1238, 732, 337, 86, 0, 87,
339, 735, 1242, 1816, 2410, 2974, 3459, 3826, 4042, 4091,
3967, 3682, 3259, 2734, 2152, 1560, 1010, 546, 210, 28,
16, 175, 492, 940, 1481, 2070, 2657, 3192, 3631, 3937,
4084, 4059, 3865, 3518, 3048, 2493, 1901, 1321, 802, 388,
114, 2, 62, 290, 665, 1157, 1724, 2317, 2888, 3389,
3776, 4018, 4095, 3999, 3739, 3337, 2826, 2250, 1657, 1097,
617, 257, 47, 6, 136, 427, 855, 1382, 1965, 2556,
3103, 3562, 3894, 4070, 4076, 3912, 3592, 3141, 2599, 2010,
1425, 891, 455, 153, 10, 38, 235, 584, 1056, 1611,
2203, 2782, 3299, 3711, 3983, 4093, 4031, 3803, 3427, 2935,
2369, 1776, 1206, 706, 319, 77, 0, 96, 355, 756,
1265, 1841, 2433, 2993, 3474, 3835, 4046, 4090, 3962, 3673,
3248, 2723, 2141, 1551, 1002, 542, 207, 27, 17, 176,
493, 940, 1480, 2067, 2653, 3188, 3627, 3934, 4083, 4061,
3870, 3527, 3060, 2507, 1916, 1337, 816, 399, 120, 3,
57, 278, 646, 1133, 1696, 2288, 2860, 3365, 3758, 4009,
4095, 4010, 3760, 3367, 2863, 2292, 1699, 1136, 649, 280,
58, 3, 119, 396, 812, 1331, 1910, 2501, 3054, 3522,
3867, 4060, 4084, 3938, 3633, 3196, 2663, 2079, 1491, 951,
502, 182, 19, 25, 200, 530, 987, 1532, 2121, 2704,
3231, 3660, 3953, 4088, 4052, 3848, 3493, 3018, 2462, 1871,
1295, 781, 374, 106, 1, 67, 298, 676, 1168, 1734,
2326, 2894, 3392, 3778, 4019, 4095, 4000, 3742, 3342, 2835,
2261, 1670, 1110, 629, 266, 52, 4, 127, 411, 831,
1353, 1933, 2522, 3072, 3536, 3876, 4063, 4082, 3931, 3623,
3183, 2649, 2064, 1478, 940, 494, 177, 17, 26, 204,
536, 993, 1539, 2127, 2709, 3235, 3662, 3955, 4088, 4051,
3847, 3493, 3019, 2463, 1873, 1297, 784, 376, 108, 1,
65, 295, 670, 1160, 1725, 2316, 2884, 3383, 3771, 4015,
4095, 4004, 3750, 3355, 2850, 2279, 1688, 1127, 643, 276,
57, 3, 120, 397, 812, 1330, 1907, 2496, 3048, 3517,
3863, 4058, 4085, 3943, 3643, 3210, 2680, 2098, 1511, 970,
517, 193, 22, 21, 188, 509, 959, 1500, 2086, 2668,
3199, 3635, 3938, 4084, 4060, 3869, 3527, 3061, 2511, 1922,
1344, 825, 407, 126, 4, 52, 267, 629, 1110, 1668,
2258, 2831, 3338, 3738, 3997, 4095, 4022, 3785, 3403, 2909,
2343, 1753, 1187, 693, 311, 74, 0, 97, 356, 755,
1262, 1834, 2424, 2982, 3463, 3826, 4042, 4091, 3971, 3691,
3275, 2757, 2179, 1591, 1041, 574, 230, 37, 10, 153,
453, 886, 1414, 1996, 2582, 3123, 3575, 3900, 4072, 4075,
3910, 3591, 3143, 2605, 2020, 1437, 906, 469, 162, 13,
32, 218, 557, 1018, 1566, 2153, 2731, 3253, 3675, 3961,
4089, 4048, 3841, 3485, 3010, 2455, 1866, 1293, 782, 375,
108, 1, 64, 292, 665, 1152, 1714, 2303, 2872, 3371,
3761, 4010, 4095, 4011, 3764, 3375, 2876, 2308, 1719, 1157,
669, 295, 66, 1, 106, 372, 776, 1286, 1859, 2447,
3003, 3479, 3836, 4046, 4090, 3965, 3681, 3262, 2742, 2165,
1578, 1030, 567, 225, 35, 11, 156, 457, 890, 1418,
1999, 2584, 3124, 3575, 3900, 4072, 4076, 3912, 3594, 3148,
2611, 2028, 1446, 914, 475, 167, 14, 30, 212, 546,
1004, 1549, 2134, 2713, 3236, 3661, 3953, 4087, 4053, 3853,
3503, 3034, 2483, 1895, 1321, 806, 394, 119, 3, 56,
273, 638, 1118, 1675, 2264, 2834, 3339, 3738, 3996, 4094,
4023, 3789, 3411, 2920, 2358, 1769, 1204, 708, 323, 80,
0, 89, 339, 731, 1231, 1798, 2387, 2947, 3433, 3804,
4031, 4094, 3988, 3722, 3317, 2809, 2237, 1649, 1095, 619,
261, 50, 4, 127, 408, 824, 1341, 1917, 2503, 3051,
3517, 3862, 4057, 4086, 3947, 3652, 3224, 2699, 2121, 1536,
994, 539, 208, 28, 15, 170, 479, 918, 1449, 2030,
2613, 3148, 3593, 3911, 4075, 4072, 3903, 3580, 3131, 2593,
2010, 1430, 901, 467, 162, 13, 31, 216, 551, 1010,
1553, 2138, 2715, 3237, 3662, 3953, 4087, 4054, 3855, 3508,
3040, 2491, 1905, 1331, 816, 402, 124, 4, 52, 264,
623, 1100, 1654, 2240, 2811, 3319, 3722, 3988, 4094, 4031,
3806, 3436, 2951, 2393, 1806, 1239, 738, 345, 92, 0,
76, 315, 695, 1187, 1750, 2337, 2900, 3393, 3776, 4016,
4095, 4005, 3755, 3364, 2865, 2299, 1712, 1153, 667, 295,
67, 1, 103, 366, 766, 1271, 1841, 2427, 2982, 3460,
3823, 4039, 4092, 3977, 3704, 3294, 2783, 2211, 1625, 1074,
604, 251, 46, 6, 133, 417, 835, 1352, 1927, 2511,
3057, 3521, 3864, 4057, 4086, 3947, 3653, 3227, 2704, 2127,
1544, 1002, 546, 213, 31, 13, 163, 467, 901, 1429,
2007, 2589, 3127, 3575, 3899, 4071, 4077, 3916, 3603, 3162,
2629, 2049, 1469, 936, 495, 180, 19, 24, 194, 517,
965, 1501, 2083, 2661, 3189, 3624, 3930, 4081, 4066, 3885,
3554, 3100, 2559, 1977, 1400, 876, 449, 152, 10, 36,
225, 565, 1025, 1569, 2153, 2727, 3246, 3667, 3956, 4088,
4053, 3854, 3507, 3041, 2494, 1910, 1337, 822, 408, 128,
5, 49, 256, 610, 1082, 1632, 2217, 2787, 3298, 3705,
3978, 4092, 4039, 3824, 3463, 2986, 2433, 1848, 1280, 774,
372, 108, 2, 63, 286, 653, 1135, 1690, 2275, 2842,
3343, 3739, 3996, 4094, 4025, 3795, 3421, 2936, 2377, 1792,
1228, 731, 341, 91, 0, 77, 314, 693, 1183, 1743,
2328, 2891, 3384, 3768, 4012, 4095, 4011, 3767, 3383, 2889,
2327, 1742, 1182, 693, 314, 77, 0, 91, 341, 730,
1227, 1791, 2376, 2934, 3419, 3793, 4024, 4094, 3998, 3742,
3347, 2847, 2282, 1698, 1142, 660, 291, 65, 1, 104,
365, 764, 1267, 1834, 2418, 2972, 3450, 3815, 4035, 4093,
3985, 3718, 3316, 2810, 2242, 1659, 1106, 631, 271, 56,
3, 116, 387, 793, 1302, 1871, 2454, 3004, 3477, 3833,
4043, 4091, 3973, 3698, 3288, 2778, 2208, 1625, 1076, 607,
255, 48, 5, 127, 406, 819, 1331, 1902, 2485, 3032,
3499, 3847, 4050, 4089, 3962, 3680, 3265, 2750, 2179, 1597,
1051, 587, 241, 43, 7, 137, 423, 840, 1356, 1928,
2510, 3054, 3517, 3859, 4055, 4087, 3954, 3665, 3245, 2728,
2156, 1574, 1031, 571, 231, 38, 9, 145, 436, 858,
1376, 1949, 2530, 3072, 3530, 3868, 4059, 4085, 3947, 3654,
3230, 2711, 2137, 1557, 1016, 559, 223, 35, 10, 151,
446, 871, 1391, 1964, 2545, 3085, 3540, 3875, 4061, 4084,
3942, 3645, 3220, 2699, 2125, 1545, 1006, 551, 218, 33,
12, 155, 453, 879, 1400, 1974, 2554, 3093, 3547, 3879,
4063, 4083, 3938, 3640, 3213, 2692, 2118, 1538, 1000, 547,
215, 32, 12, 157, 456, 883, 1405, 1979, 2558, 3096,
3549, 3880, 4063, 4083, 3937, 3639, 3212, 2690, 2116, 1537,
999, 546, 215, 32, 12, 157, 455, 883, 1404, 1978,
2557, 3095, 3548, 3879, 4063, 4083, 3939, 3641, 3214, 2693,
2120, 1541, 1003, 549, 217, 33, 12, 155, 452, 878,
1398, 1971, 2550, 3089, 3543, 3876, 4061, 4084, 3942, 3646,
3222, 2702, 2129, 1550, 1011, 556, 222, 35, 10, 151,
445, 868, 1387, 1959, 2538, 3078, 3534, 3870, 4059, 4085,
3947, 3655, 3233, 2716, 2144, 1565, 1025, 567, 229, 38,
9, 145, 434, 854, 1370, 1941, 2521, 3062, 3521, 3862,
4055, 4087, 3954, 3667, 3249, 2735, 2165, 1585, 1043, 581,
239, 42, 7, 137, 421, 836, 1349, 1918, 2498, 3041,
3505, 3850, 4050, 4089, 3963, 3682, 3270, 2759, 2190, 1610,
1066, 600, 251, 47, 5, 127, 404, 813, 1322, 1890,
2470, 3016, 3484, 3836, 4044, 4091, 3973, 3700, 3294, 2788,
2221, 1641, 1094, 623, 267, 55, 3, 116, 384, 787,
1291, 1856, 2436, 2985, 3459, 3819, 4036, 4093, 3985, 3721,
3323, 2822, 2258, 1677, 1127, 650, 286, 64, 1, 103,
362, 756, 1255, 1817, 2397, 2950, 3430, 3798, 4026, 4094,
3998, 3745, 3355, 2860, 2300, 1719, 1165, 682, 308, 75,
0, 90, 337, 722, 1214, 1772, 2353, 2909, 3396, 3774,
4014, 4095, 4012, 3771, 3391, 2904, 2347, 1767, 1209, 718,
335, 89, 0, 76, 311, 685, 1168, 1722, 2302, 2862,
3357, 3746, 3998, 4094, 4026, 3799, 3431, 2951, 2400, 1820,
1258, 760, 365, 105, 1, 62, 282, 644, 1118, 1667,
2247, 2810, 3313, 3713, 3980, 4092, 4040, 3828, 3473, 3003,
2457, 1878, 1313, 807, 400, 125, 5, 48, 252, 600,
1064, 1607, 2185, 2752, 3263, 3676, 3959, 4088, 4054, 3858,
3518, 3059, 2520, 1943, 1374, 859, 439, 148, 10, 35,
221, 554, 1006, 1542, 2118, 2689, 3208, 3634, 3933, 4081,
4066, 3889, 3565, 3119, 2587, 2012, 1440, 917, 484, 176,
18, 23, 190, 506, 945, 1472, 2046, 2619, 3147, 3587,
3903, 4071, 4077, 3921, 3614, 3182, 2660, 2088, 1513, 981,
534, 208, 30, 13, 159, 456, 880, 1398, 1968, 2544,
3080, 3534, 3869, 4058, 4086, 3951, 3665, 3248, 2736, 2169,
1592, 1051, 590, 246, 46, 5, 128, 405, 813, 1319,
1884, 2462, 3007, 3474, 3828, 4040, 4092, 3981, 3716, 3317,
2816, 2255, 1676, 1128, 653, 289, 66, 1, 100, 354,
743, 1237, 1796, 2374, 2927, 3409, 3782, 4017, 4095, 4009,
3767, 3387, 2900, 2346, 1767, 1211, 722, 338, 91, 0,
73, 303, 672, 1151, 1702, 2280, 2840, 3336, 3730, 3989,
4093, 4035, 3817, 3459, 2988, 2442, 1864, 1301, 798, 394,
122, 4, 49, 253, 600, 1063, 1604, 2180, 2746, 3256,
3670, 3954, 4087, 4057, 3866, 3531, 3077, 2542, 1967, 1398,
881, 458, 160, 14, 29, 205, 528, 972, 1502, 2075,
2646, 3169, 3603, 3913, 4074, 4075, 3913, 3603, 3169, 2646,
2075, 1502, 973, 529, 205, 29, 13, 160, 456, 879,
1395, 1964, 2538, 3074, 3528, 3864, 4056, 4087, 3957, 3674,
3262, 2754, 2189, 1613, 1072, 608, 259, 52, 3, 118,
386, 786, 1286, 1847, 2424, 2971, 3444, 3807, 4029, 4094,
3996, 3744, 3356, 2864, 2308, 1731, 1179, 696, 320, 82,
0, 81, 318, 692, 1174, 1726, 2303, 2860, 3352, 3741,
3995, 4094, 4031, 3810, 3449, 2977, 2431, 1855, 1294, 793,
391, 121, 4, 49, 253, 600, 1061, 1601, 2176, 2741,
3251, 3665, 3951, 4086, 4059, 3872, 3541, 3091, 2558, 1985,
1417, 899, 472, 170, 17, 25, 193, 509, 947, 1472,
2042, 2614, 3140, 3579, 3897, 4069, 4080, 3930, 3630, 3205,
2689, 2121, 1548, 1014, 562, 228, 39, 8, 139, 421,
833, 1340, 1904, 2479, 3019, 3483, 3833, 4042, 4092, 3981,
3716, 3319, 2821, 2263, 1687, 1139, 664, 298, 71, 0,
92, 338, 720, 1207, 1760, 2336, 2890, 3376, 3758, 4004,
4095, 4024, 3796, 3431, 2955, 2408, 1832, 1274, 776, 380,
115, 3, 53, 261, 610, 1073, 1613, 2187, 2750, 3258,
3670, 3954, 4086, 4058, 3870, 3539, 3089, 2557, 1985, 1418,
900, 473, 171, 17, 24, 190, 504, 939, 1462, 2032,
2602, 3129, 3570, 3891, 4066, 4082, 3937, 3642, 3222, 2709,
2143, 1570, 1035, 580, 240, 44, 6, 129, 403, 808,
1310, 1871, 2445, 2989, 3457, 3815, 4033, 4094, 3993, 3739,
3352, 2861, 2306, 1731, 1181, 699, 324, 84, 0, 77,
310, 680, 1158, 1706, 2281, 2837, 3331, 3724, 3985, 4093,
4039, 3828, 3477, 3013, 2473, 1899, 1337, 831, 421, 140,
8, 38, 226, 557, 1006, 1538, 2109, 2675, 3192, 3619,
3922, 4077, 4072, 3908, 3597, 3163, 2642, 2074, 1504, 977,
534, 210, 31, 11, 152, 442, 858, 1368, 1931, 2504,
3041, 3499, 3843, 4046, 4091, 3975, 3708, 3310, 2812, 2254,
1680, 1135, 662, 298, 71, 0, 91, 335, 714, 1198,
1749, 2324, 2876, 3364, 3747, 3998, 4094, 4030, 3809, 3450,
2981, 2438, 1865, 1306, 805, 402, 128, 6, 44, 239,
577, 1031, 1564, 2135, 2700, 3213, 3635, 3931, 4080, 4069,
3899, 3583, 3147, 2624, 2056, 1487, 963, 523, 204, 29,
13, 157, 449, 867, 1378, 1941, 2513, 3048, 3504, 3846,
4047, 4091, 3974, 3706, 3307, 2810, 2253, 1680, 1135, 662,
298, 72, 0, 89, 332, 710, 1193, 1742, 2316, 2868,
3357, 3742, 3994, 4094, 4033, 3816, 3460, 2994, 2453, 1881,
1321, 819, 413, 135, 7, 40, 229, 562, 1011, 1541,
2111, 2676, 3192, 3618, 3920, 4076, 4073, 3911, 3603, 3173,
2655, 2089, 1520, 992, 547, 220, 35, 9, 143, 425,
835, 1340, 1900, 2472, 3011, 3474, 3825, 4037, 4093, 3989,
3733, 3345, 2855, 2302, 1729, 1181, 701, 326, 86, 0,
74, 303, 668, 1141, 1685, 2258, 2814, 3310, 3707, 3974,
4091, 4047, 3847, 3506, 3051, 2518, 1947, 1385, 874, 455,
161, 14, 27, 197, 513, 948, 1469, 2036, 2603, 3127,
3567, 3888, 4064, 4083, 3943, 3655, 3241, 2733, 2172, 1601,
1066, 607, 260, 53, 3, 112, 372, 763, 1255, 1809,
2381, 2927, 3405, 3776, 4012, 4095, 4018, 3787, 3420, 2945,
2401, 1829, 1274, 780, 384, 119, 4, 49, 250, 591,
1046, 1579, 2149, 2711, 3221, 3639, 3933, 4080, 4069, 3899,
3585, 3151, 2631, 2065, 1498, 974, 533, 211, 32, 11,
148, 434, 845, 1350, 1910, 2480, 3017, 3478, 3827, 4038,
4093, 3989, 3733, 3346, 2857, 2306, 1734, 1187, 707, 331,
89, 0, 71, 295, 657, 1126, 1668, 2239, 2795, 3293,
3693, 3966, 4089, 4053, 3860, 3527, 3078, 2549, 1980, 1417,
903, 479, 176, 19, 21, 180, 484, 911, 1426, 1989,
2557, 3085, 3532, 3864, 4054, 4088, 3964, 3689, 3288, 2789,
2233, 1662, 1122, 653, 293, 70, 0, 90, 332, 708,
1188, 1734, 2305, 2856, 3345, 3732, 3988, 4093, 4039, 3830,
3482, 3023, 2488, 1919, 1360, 854, 441, 153, 12, 30,
204, 522, 958, 1480, 2045, 2610, 3132, 3569, 3888, 4064,
4083, 3944, 3658, 3246, 2742, 2183, 1614, 1078, 618, 269,
58, 2, 104, 358, 743, 1229, 1779, 2349, 2896, 3378,
3756, 4001, 4094, 4029, 3810, 3454, 2988, 2450, 1880, 1324,
823, 418, 139, 9, 36, 220, 545, 987, 1512, 2078,
2641, 3159, 3590, 3902, 4069, 4080, 3933, 3640, 3223, 2715,
2156, 1587, 1055, 600, 256, 52, 3, 112, 371, 760,
1249, 1800, 2370, 2915, 3393, 3766, 4007, 4095, 4024, 3801,
3441, 2973, 2434, 1865, 1310, 812, 410, 134, 7, 39,
225, 553, 997, 1522, 2088, 2651, 3166, 3596, 3905, 4070,
4079, 3931, 3636, 3219, 2711, 2151, 1584, 1052, 597, 255,
52, 3, 112, 371, 760, 1249, 1799, 2369, 2913, 3391,
3765, 4005, 4095, 4025, 3803, 3445, 2979, 2441, 1872, 1317,
818, 415, 138, 8, 37, 220, 546, 987, 1510, 2075,
2638, 3155, 3586, 3899, 4068, 4081, 3937, 3647, 3233, 2727,
2169, 1602, 1069, 612, 265, 57, 2, 105, 359, 743,
1227, 1775, 2344, 2891, 3372, 3750, 3998, 4094, 4032, 3818,
3466, 3005, 2470, 1902, 1346, 843, 434, 150, 11, 31,
205, 523, 957, 1476, 2039, 2603, 3124, 3561, 3882, 4061,
4085, 3952, 3671, 3266, 2766, 2211, 1643, 1106, 643, 287,
67, 0, 91, 333, 707, 1185, 1729, 2297, 2847, 3334,
3723, 3982, 4092, 4044, 3843, 3503, 3050, 2521, 1955, 1396,
888, 468, 171, 18, 22, 181, 485, 909, 1421, 1981,
2546, 3073, 3520, 3855, 4050, 4090, 3974, 3709, 3316, 2825,
2275, 1707, 1165, 691, 322, 85, 0, 72, 297, 656,
1123, 1660, 2227, 2781, 3278, 3680, 3957, 4087, 4059, 3877,
3554, 3115, 2594, 2031, 1469, 952, 519, 203, 30, 12,
150, 434, 843, 1344, 1899, 2466, 3000, 3461, 3814, 4030,
4094, 4001, 3757, 3382, 2905, 2361, 1793, 1245, 759, 371,
113, 3, 51, 251, 590, 1041, 1569, 2134, 2693, 3201,
3621, 3920, 4076, 4075, 3918, 3618, 3197, 2688, 2130, 1565,
1038, 587, 250, 50, 3, 114, 373, 761, 1247, 1795,
2362, 2906, 3383, 3757, 4001, 4094, 4031, 3815, 3463, 3003,
2469, 1904, 1349, 848, 438, 153, 13, 28, 199, 512,
942, 1458, 2018, 2581, 3103, 3543, 3870, 4056, 4088, 3964,
3693, 3295, 2802, 2251, 1685, 1146, 677, 312, 81, 0,
76, 304, 665, 1132, 1669, 2235, 2787, 3282, 3683, 3958,
4087, 4059, 3877, 3556, 3118, 2599, 2037, 1476, 959, 525,
208, 32, 10, 145, 424, 829, 1326, 1879, 2445, 2980,
3444, 3801, 4023, 4095, 4009, 3774, 3406, 2934, 2395, 1829,
1279, 789, 394, 127, 6, 41, 230, 559, 1000, 1523,
2085, 2644, 3158, 3587, 3898, 4067, 4082, 3941, 3656, 3247,
2747, 2193, 1628, 1096, 636, 283, 66, 1, 91, 332,
703, 1177, 1718, 2284, 2832, 3320, 3710, 3974, 4090, 4050,
3857, 3526, 3082, 2559, 1996, 1438, 926, 500, 192, 26,
14, 158, 446, 856, 1357, 1911, 2475, 3007, 3466, 3816,
4031, 4094, 4002, 3760, 3387, 2912, 2372, 1806, 1259, 772,
382, 120, 5, 45, 239, 570, 1014, 1537, 2099, 2657,
3169, 3595, 3902, 4069, 4081, 3938, 3651, 3241, 2741, 2187,
1623, 1092, 633, 282, 66, 1, 91, 332, 702, 1176,
1716, 2281, 2828, 3316, 3707, 3972, 4090, 4052, 3862, 3533,
3091, 2569, 2008, 1450, 937, 509, 198, 29, 12, 151,
435, 841, 1339, 1891, 2455, 2988, 3449, 3804, 4025, 4095,
4009, 3774, 3408, 2938, 2400, 1835, 1287, 796, 401, 131,
7, 38, 222, 546, 983, 1501, 2061, 2620, 3135, 3568,
3885, 4062, 4086, 3954, 3678, 3278, 2784, 2234, 1670, 1134,
669, 308, 79, 0, 77, 303, 663, 1127, 1662, 2225,
2776, 3271, 3673, 3951, 4085, 4063, 3889, 3575, 3144, 2630,
2072, 1512, 993, 554, 228, 41, 6, 126, 392, 784,
1272, 1819, 2383, 2921, 3394, 3764, 4003, 4094, 4030, 3815,
3466, 3009, 2479, 1917, 1364, 863, 452, 163, 16, 23,
185, 487, 908, 1416, 1971, 2532, 3057, 3504, 3842, 4043,
4092, 3987, 3734, 3354, 2874, 2332, 1768, 1225, 745, 363,
110, 3, 51, 251, 587, 1033, 1557, 2118, 2673, 3181,
3603, 3907, 4070, 4080, 3936, 3648, 3240, 2740, 2189, 1626,
1096, 638, 286, 68, 0, 87, 323, 689, 1158, 1695,
2258, 2805, 3295, 3690, 3961, 4087, 4059, 3878, 3558, 3124,
2609, 2051, 1493, 977, 542, 220, 38, 7, 131, 400,
794, 1282, 1829, 2392, 2929, 3399, 3767, 4005, 4095, 4029,
3814, 3466, 3009, 2481, 1919, 1367, 867, 456, 165, 17,
22, 181, 480, 899, 1404, 1957, 2518, 3043, 3493, 3833,
4038, 4093, 3994, 3747, 3371, 2896, 2357, 1794, 1250, 767,
380, 120, 5, 44, 235, 563, 1003, 1522, 2080, 2637,
3148, 3577, 3890, 4063, 4085, 3953, 3676, 3277, 2785, 2237,
1675, 1141, 676, 314, 83, 0, 72, 293, 647, 1106,
1636, 2197, 2747, 3245, 3651, 3937, 4080, 4070, 3907, 3604,
3183, 2677, 2123, 1564, 1041, 594, 256, 54, 2, 105,
353, 730, 1206, 1746, 2308, 2851, 3333, 3718, 3977, 4091,
4050, 3859, 3531, 3091, 2573, 2015, 1459, 948, 520, 207,
32, 10, 141, 415, 813, 1304, 1850, 2412, 2946, 3412,
3776, 4009, 4095, 4026, 3808, 3458, 3002, 2473, 1913, 1363,
864, 454, 165, 17, 22, 180, 478, 894, 1397, 1949,
2509, 3034, 3484, 3827, 4035, 4094, 3999, 3757, 3386, 2915,
2378, 1817, 1273, 787, 396, 129, 7, 38, 220, 540,
973, 1487, 2043, 2599, 3114, 3549, 3870, 4055, 4089, 3969,
3705, 3316, 2832, 2289, 1727, 1190, 718, 345, 100, 2,
57, 262, 601, 1049, 1572, 2130, 2683, 3187, 3606, 3908,
4070, 4080, 3938, 3653, 3248, 2753, 2205, 1645, 1115, 655,
300, 76, 0, 78, 304, 660, 1121, 1651, 2211, 2759,
3254, 3657, 3940, 4081, 4069, 3906, 3603, 3183, 2678, 2126,
1568, 1046, 599, 261, 56, 2, 100, 345, 717, 1189,
1726, 2287, 2829, 3313, 3702, 3967, 4088, 4056, 3874, 3554,
3122, 2609, 2054, 1498, 984, 549, 227, 41, 6, 123,
385, 771, 1253, 1795, 2355, 2893, 3367, 3742, 3990, 4093,
4042, 3842, 3508, 3064, 2544, 1987, 1434, 928, 505, 198,
29, 11, 146, 424, 822, 1313, 1858, 2418, 2950, 3414,
3776, 4009, 4095, 4027, 3812, 3464, 3011, 2485, 1926, 1377,
878, 466, 173, 20, 19, 169, 460, 869, 1367, 1916,
2474, 3001, 3456, 3806, 4024, 4095, 4012, 3783, 3424, 2962,
2431, 1872, 1326, 834, 433, 152, 13, 26, 191, 494,
913, 1417, 1968, 2525, 3046, 3493, 3831, 4037, 4094, 3998,
3756, 3387, 2917, 2383, 1824, 1281, 796, 404, 135, 8,
34, 211, 524, 951, 1460, 2013, 2569, 3085, 3524, 3853,
4047, 4092, 3984, 3732, 3354, 2878, 2341, 1781, 1242, 763,
379, 120, 5, 42, 229, 552, 986, 1499, 2053, 2607,
3119, 3551, 3871, 4055, 4089, 3971, 3710, 3324, 2844, 2304,
1745, 1209, 735, 359, 108, 3, 50, 245, 575, 1015,
1532, 2087, 2639, 3147, 3573, 3886, 4061, 4086, 3960, 3691,
3300, 2815, 2273, 1715, 1181, 712, 342, 99, 2, 56,
259, 595, 1040, 1559, 2115, 2665, 3170, 3591, 3897, 4066,
4084, 3951, 3676, 3280, 2792, 2249, 1690, 1159, 693, 329,
92, 1, 62, 271, 611, 1059, 1580, 2136, 2686, 3188,
3605, 3906, 4069, 4082, 3943, 3664, 3264, 2774, 2230, 1672,
1142, 680, 319, 87, 0, 66, 279, 623, 1074, 1596,
2152, 2701, 3200, 3614, 3912, 4071, 4080, 3938, 3655, 3253,
2761, 2217, 1660, 1131, 671, 313, 84, 0, 69, 284,
631, 1083, 1606, 2162, 2710, 3208, 3620, 3916, 4073, 4079,
3935, 3650, 3247, 2755, 2210, 1653, 1125, 666, 310, 82,
0, 70, 287, 634, 1086, 1610, 2166, 2713, 3211, 3622,
3917, 4073, 4079, 3934, 3649, 3246, 2753, 2209, 1652, 1125,
666, 310, 82, 0, 70, 286, 633, 1085, 1608, 2164,
2711, 3209, 3620, 3916, 4072, 4079, 3935, 3652, 3249, 2758,
2214, 1657, 1130, 670, 313, 84, 0, 68, 283, 628,
1078, 1600, 2156, 2703, 3201, 3615, 3912, 4071, 4080, 3939,
3658, 3258, 2768, 2225, 1668, 1140, 679, 319, 87, 0,
65, 276, 618, 1066, 1587, 2142, 2689, 3189, 3605, 3905,
4069, 4082, 3945, 3668, 3271, 2784, 2242, 1685, 1156, 692,
329, 93, 1, 60, 267, 605, 1049, 1568, 2121, 2670,
3172, 3591, 3896, 4065, 4084, 3953, 3682, 3289, 2805, 2265,
1708, 1177, 710, 342, 100, 2, 55, 254, 587, 1027,
1543, 2095, 2645, 3150, 3574, 3885, 4060, 4087, 3963, 3698,
3312, 2831, 2293, 1737, 1204, 733, 359, 110, 3, 48,
240, 565, 1000, 1512, 2063, 2614, 3122, 3551, 3870, 4054,
4090, 3975, 3718, 3338, 2863, 2328, 1772, 1236, 761, 380,
122, 6, 40, 223, 540, 968, 1475, 2025, 2577, 3089,
3525, 3852, 4046, 4092, 3988, 3741, 3370, 2900, 2369, 1813,
1275, 793, 404, 136, 9, 32, 203, 511, 931, 1433,
1981, 2534, 3050, 3493, 3830, 4035, 4094, 4002, 3767, 3405,
2943, 2415, 1860, 1319, 831, 433, 154, 14, 24, 183,
478, 890, 1386, 1931, 2485, 3006, 3457, 3804, 4022, 4095,
4017, 3795, 3443, 2990, 2467, 1913, 1369, 875, 467, 176,
22, 16, 161, 444, 844, 1334, 1875, 2429, 2956, 3415,
3774, 4006, 4094, 4032, 3824, 3486, 3041, 2524, 1972, 1425,
924, 506, 201, 31, 10, 138, 406, 795, 1276, 1813,
2368, 2899, 3368, 3739, 3987, 4092, 4047, 3855, 3531, 3097,
2587, 2037, 1488, 980, 550, 230, 44, 4, 115, 367,
742, 1214, 1746, 2301, 2836, 3314, 3700, 3964, 4087, 4061,
3887, 3578, 3157, 2655, 2108, 1557, 1042, 600, 265, 60,
1, 92, 326, 687, 1147, 1673, 2227, 2767, 3255, 3654,
3936, 4079, 4073, 3919, 3628, 3221, 2728, 2185, 1632, 1110,
656, 304, 80, 0, 70, 285, 628, 1076, 1595, 2147,
2691, 3189, 3603, 3903, 4067, 4084, 3951, 3679, 3288, 2806,
2268, 1714, 1185, 719, 350, 105, 3, 50, 243, 568,
1001, 1511, 2060, 2609, 3116, 3545, 3864, 4051, 4091, 3982,
3731, 3357, 2887, 2356, 1803, 1267, 789, 402, 136, 9,
32, 201, 506, 924, 1423, 1968, 2519, 3035, 3480, 3819,
4029, 4095, 4010, 3783, 3428, 2973, 2450, 1898, 1356, 866,
461, 172, 21, 17, 162, 444, 843, 1330, 1870, 2423,
2948, 3407, 3767, 4002, 4094, 4037, 3834, 3501, 3062, 2549,
1999, 1453, 950, 528, 216, 38, 6, 124, 382, 761,
1234, 1767, 2320, 2853, 3327, 3708, 3968, 4088, 4059, 3883,
3574, 3153, 2652, 2106, 1557, 1043, 602, 267, 61, 1,
89, 320, 677, 1134, 1658, 2210, 2750, 3239, 3641, 3927,
4076, 4077, 3930, 3647, 3246, 2759, 2220, 1668, 1143, 685,
326, 92, 1, 59, 261, 594, 1032, 1544, 2093, 2639,
3142, 3564, 3877, 4056, 4089, 3974, 3718, 3341, 2869, 2338,
1786, 1253, 777, 394, 131, 8, 33, 205, 511, 928,
1427, 1971, 2521, 3036, 3479, 3818, 4028, 4095, 4012, 3787,
3435, 2982, 2462, 1911, 1370, 878, 472, 180, 24, 14,
153, 429, 823, 1306, 1843, 2394, 2921, 3384, 3750, 3992,
4093, 4045, 3852, 3528, 3097, 2589, 2042, 1496, 989, 560,
238, 48, 3, 106, 351, 719, 1183, 1710, 2261, 2797,
3278, 3671, 3945, 4081, 4070, 3913, 3619, 3212, 2720, 2180,
1629, 1110, 658, 307, 82, 0, 67, 277, 615, 1058,
1572, 2121, 2664, 3163, 3581, 3887, 4060, 4087, 3967, 3707,
3327, 2854, 2322, 1771, 1240, 767, 387, 128, 7, 35,
208, 515, 933, 1431, 1974, 2523, 3037, 3479, 3818, 4028,
4095, 4013, 3790, 3440, 2989, 2470, 1920, 1380, 888, 480,
185, 26, 13, 147, 418, 808, 1288, 1822, 2373, 2900,
3365, 3735, 3983, 4091, 4051, 3866, 3549, 3124, 2621, 2076,
1529, 1020, 585, 256, 57, 1, 94, 328, 686, 1143,
1665, 2215, 2753, 3239, 3640, 3925, 4075, 4078, 3934, 3654,
3257, 2774, 2237, 1687, 1163, 703, 340, 101, 2, 51,
244, 568, 999, 1505, 2050, 2596, 3101, 3531, 3853, 4045,
4093, 3993, 3752, 3388, 2928, 2404, 1854, 1318, 835, 439,
160, 17, 20, 170, 456, 856, 1342, 1880, 2429, 2951,
3407, 3766, 4000, 4094, 4039, 3842, 3514, 3081, 2573, 2027,
1483, 980, 553, 235, 47, 3, 107, 351, 717, 1179,
1704, 2254, 2788, 3270, 3663, 3939, 4079, 4073, 3921, 3633,
3232, 2745, 2207, 1658, 1138, 682, 326, 93, 1, 57,
256, 584, 1018, 1525, 2071, 2615, 3118, 3543, 3861, 4049,
4092, 3988, 3744, 3378, 2916, 2392, 1843, 1308, 827, 434,
157, 16, 21, 172, 459, 859, 1345, 1882, 2431, 2951,
3407, 3765, 4000, 4094, 4040, 3843, 3517, 3086, 2579, 2035,
1491, 987, 560, 239, 49, 3, 103, 343, 706, 1166,
1689, 2237, 2772, 3255, 3651, 3932, 4077, 4076, 3930, 3648,
3251, 2768, 2233, 1684, 1162, 703, 341, 102, 2, 50,
241, 562, 989, 1493, 2036, 2580, 3086, 3518, 3843, 4040,
4094, 4000, 3767, 3410, 2955, 2435, 1887, 1351, 864, 463,
176, 23, 15, 153, 427, 818, 1297, 1829, 2378, 2902,
3365, 3734, 3982, 4091, 4053, 3871, 3559, 3138, 2639, 2097,
1552, 1042, 605, 271, 65, 0, 83, 306, 655, 1103,
1619, 2165, 2704, 3195, 3604, 3901, 4065, 4085, 3959, 3696,
3314, 2842, 2313, 1765, 1237, 767, 389, 130, 8, 33,
201, 502, 914, 1407, 1946, 2492, 3006, 3452, 3797, 4016,
4095, 4027, 3817, 3481, 3042, 2531, 1986, 1446, 948, 530,
220, 40, 5, 116, 365, 734, 1197, 1722, 2269, 2801,
3279, 3668, 3942, 4080, 4073, 3921, 3634, 3235, 2750, 2215,
1668, 1148, 693, 334, 98, 2, 52, 244, 565, 993,
1496, 2038, 2581, 3086, 3516, 3842, 4039, 4094, 4003, 3771,
3417, 2965, 2447, 1901, 1365, 878, 475, 184, 26, 12,
144, 412, 797, 1271, 1801, 2348, 2874, 3340, 3715, 3970,
4088, 4060, 3889, 3586, 3173, 2680, 2142, 1597, 1084, 640,
296, 78, 0, 68, 278, 614, 1052, 1561, 2105, 2645,
3142, 3561, 3872, 4053, 4091, 3983, 3737, 3370, 2909, 2387,
1841, 1309, 830, 437, 160, 17, 19, 166, 447, 842,
1323, 1855, 2401, 2922, 3381, 3745, 3987, 4092, 4050, 3866,
3552, 3131, 2633, 2093, 1550, 1042, 606, 273, 66, 0,
80, 300, 645, 1090, 1602, 2147, 2684, 3176, 3588, 3890,
4060, 4088, 3970, 3715, 3342, 2876, 2351, 1805, 1276, 802,
417, 147, 13, 24, 179, 467, 867, 1351, 1885, 2430,
2948, 3402, 3760, 3996, 4093, 4045, 3854, 3535, 3111, 2610,
2070, 1528, 1023, 591, 262, 61, 1, 86, 311, 659,
1106, 1620, 2164, 2700, 3189, 3598, 3896, 4063, 4087, 3965,
3708, 3332, 2865, 2340, 1795, 1267, 795, 411, 144, 12,
25, 182, 471, 872, 1356, 1890, 2434, 2952, 3405, 3761,
3996, 4093, 4044, 3854, 3535, 3111, 2611, 2072, 1530, 1025,
593, 264, 62, 0, 84, 307, 654, 1099, 1612, 2156,
2692, 3182, 3592, 3892, 4061, 4088, 3969, 3715, 3342, 2877,
2354, 1809, 1281, 807, 421, 150, 14, 23, 174, 459,
856, 1337, 1869, 2414, 2932, 3388, 3749, 3989, 4092, 4050,
3865, 3552, 3133, 2636, 2098, 1556, 1049, 613, 279, 69,
0, 76, 291, 631, 1071, 1581, 2123, 2660, 3153, 3569,
3876, 4054, 4090, 3982, 3736, 3371, 2912, 2392, 1848, 1318,
839, 446, 166, 20, 17, 157, 432, 820, 1296, 1824,
2369, 2890, 3353, 3722, 3974, 4089, 4059, 3888, 3586, 3175,
2685, 2150, 1607, 1096, 652, 306, 84, 0, 62, 263,
591, 1022, 1525, 2065, 2604, 3103, 3528, 3848, 4041, 4094,
4001, 3771, 3418, 2969, 2455, 1912, 1379, 893, 488, 194,
30, 9, 132, 390, 766, 1231, 1755, 2299, 2825, 3296,
3680, 3948, 4081, 4072, 3919, 3634, 3238, 2757, 2226, 1683,
1165, 710, 349, 108, 4, 44, 225, 535, 952, 1445,
1982, 2523, 3030, 3468, 3806, 4020, 4095, 4025, 3816, 3482,
3047, 2542, 2002, 1464, 968, 549, 234, 48, 3, 101,
337, 693, 1145, 1661, 2203, 2735, 3218, 3619, 3909, 4068,
4084, 3957, 3696, 3318, 2851, 2327, 1784, 1259, 790, 409,
144, 13, 25, 179, 465, 863, 1344, 1874, 2417, 2933,
3388, 3747, 3988, 4091, 4051, 3870, 3561, 3145, 2652, 2116,
1575, 1068, 630, 291, 76, 0, 68, 275, 606, 1039,
1543, 2083, 2620, 3116, 3538, 3854, 4044, 4093, 3999, 3767,
3414, 2965, 2452, 1910, 1378, 893, 489, 195, 31, 9,
129, 385, 758, 1221, 1742, 2285, 2811, 3283, 3668, 3940,
4079, 4075, 3928, 3650, 3259, 2783, 2255, 1713, 1194, 735,
368, 120, 6, 36, 207, 508, 916, 1404, 1937, 2478,
2988, 3433, 3780, 4006, 4094, 4039, 3844, 3522, 3098, 2599,
2062, 1524, 1023, 594, 266, 64, 0, 81, 299, 640,
1079, 1587, 2127, 2661, 3152, 3566, 3873, 4052, 4091, 3987,
3746, 3387, 2933, 2418, 1876, 1347, 867, 469, 182, 26,
11, 140, 401, 779, 1245, 1767, 2309, 2833, 3301, 3682,
3948, 4081, 4072, 3921, 3639, 3245, 2767, 2239, 1698, 1181,
725, 361, 116, 5, 38, 211, 513, 922, 1410, 1943,
2483, 2992, 3435, 3782, 4006, 4094, 4039, 3844, 3523, 3100,
2602, 2066, 1529, 1028, 598, 269, 65, 0, 78, 294,
632, 1069, 1575, 2113, 2647, 3139, 3555, 3866, 4049, 4092,
3993, 3757, 3402, 2952, 2439, 1899, 1369, 887, 485, 193,
30, 9, 129, 384, 755, 1216, 1736, 2277, 2802, 3274,
3661, 3935, 4077, 4077, 3936, 3663, 3277, 2805, 2281, 1740,
1220, 759, 387, 131, 9, 30, 191, 481, 881, 1363,
1892, 2432, 2945, 3396, 3752, 3990, 4092, 4051, 3871, 3563,
3150, 2660, 2127, 1588, 1082, 643, 302, 83, 0, 61,
260, 583, 1009, 1507, 2043, 2579, 3078, 3505, 3831, 4032,
4095, 4015, 3798, 3459, 3022, 2517, 1979, 1446, 955, 540,
230, 47, 3, 101, 335, 689, 1137, 1648, 2187, 2717,
3200, 3602, 3897, 4062, 4088, 3971, 3720, 3353, 2895, 2378,
1838, 1313, 839, 448, 170, 22, 15, 149, 415, 796,
1263, 1785, 2325, 2845, 3311, 3688, 3951, 4082, 4071, 3920,
3638, 3246, 2770, 2244, 1705, 1189, 733, 368, 120, 7,
35, 203, 499, 903, 1386, 1916, 2454, 2964, 3411, 3763,
3995, 4093, 4048, 3864, 3554, 3139, 2648, 2116, 1579, 1075,
638, 299, 81, 0, 62, 261, 584, 1009, 1506, 2041,
2576, 3074, 3501, 3827, 4030, 4095, 4018, 3804, 3468, 3033,
2530, 1994, 1461, 969, 552, 239, 51, 2, 94, 322,
670, 1114, 1622, 2159, 2689, 3175, 3582, 3883, 4056, 4090,
3983, 3741, 3382, 2930, 2417, 1879, 1352, 874, 476, 188,
29, 9, 131, 386, 756, 1215, 1732, 2271, 2795, 3266,
3653, 3929, 4075, 4080, 3944, 3677, 3297, 2830, 2309, 1771,
1251, 786, 409, 146, 14, 23, 172, 451, 840, 1313,
1837, 2376, 2892, 3349, 3716, 3968, 4087, 4064, 3902, 3612,
3213, 2734, 2207, 1670, 1158, 708, 350, 110, 4, 40,
214, 515, 922, 1407, 1936, 2473, 2981, 3424, 3771, 4000,
4093, 4045, 3859, 3548, 3133, 2643, 2111, 1576, 1073, 637,
299, 82, 0, 61, 258, 579, 1002, 1496, 2029, 2563,
3062, 3490, 3819, 4025, 4095, 4023, 3815, 3485, 3055, 2556,
2022, 1489, 995, 574, 255, 59, 1, 83, 302, 641,
1077, 1580, 2116, 2646, 3136, 3550, 3860, 4046, 4093, 3999,
3771, 3424, 2981, 2475, 1939, 1410, 925, 518, 216, 41,
4, 108, 346, 701, 1149, 1659, 2195, 2722, 3202, 3602,
3895, 4061, 4088, 3974, 3728, 3365, 2912, 2399, 1862, 1338,
863, 469, 184, 27, 10, 133, 388, 757, 1216, 1731,
2268, 2790, 3261, 3648, 3925, 4073, 4081, 3949, 3686, 3310,
2848, 2330, 1793, 1273, 807, 426, 156, 17, 18, 158,
429, 811, 1278, 1798, 2335, 2852, 3314, 3689, 3951, 4082,
4072, 3924, 3647, 3259, 2788, 2267, 1730, 1215, 757, 388,
133, 10, 27, 183, 467, 860, 1334, 1858, 2394, 2907,
3360, 3724, 3972, 4087, 4063, 3900, 3610, 3212, 2734, 2209,
1673, 1163, 714, 356, 114, 5, 37, 207, 503, 905,
1386, 1912, 2447, 2955, 3401, 3753, 3989, 4091, 4053, 3877,
3576, 3169, 2686, 2159, 1624, 1118, 676, 328, 98, 2,
47, 228, 535, 945, 1431, 1959, 2493, 2997, 3435, 3779,
4003, 4094, 4043, 3857, 3546, 3132, 2644, 2115, 1581, 1079,
644, 305, 86, 1, 56, 248, 563, 980, 1470, 2000,
2533, 3033, 3465, 3800, 4015, 4095, 4034, 3838, 3519, 3099,
2607, 2077, 1545, 1047, 618, 286, 76, 0, 65, 265,
588, 1010, 1504, 2035, 2566, 3062, 3489, 3817, 4024, 4095,
4026, 3822, 3497, 3072, 2577, 2046, 1515, 1020, 596, 271,
68, 0, 72, 280, 608, 1035, 1531, 2062, 2593, 3086,
3508, 3830, 4030, 4095, 4019, 3809, 3478, 3050, 2553, 2021,
1491, 999, 579, 260, 62, 0, 78, 291, 624, 1054,
1552, 2084, 2613, 3104, 3522, 3840, 4035, 4095, 4014, 3799,
3465, 3033, 2535, 2003, 1474, 984, 567, 251, 58, 1,
83, 299, 635, 1068, 1567, 2099, 2627, 3116, 3532, 3847,
4038, 4094, 4010, 3793, 3456, 3023, 2523, 1991, 1463, 975,
560, 246, 56, 1, 86, 304, 642, 1075, 1575, 2107,
2635, 3123, 3537, 3850, 4040, 4094, 4009, 3789, 3451, 3018,
2518, 1986, 1458, 971, 557, 244, 55, 1, 87, 306,
644, 1078, 1577, 2109, 2637, 3124, 3538, 3851, 4040, 4094,
4009, 3790, 3452, 3018, 2519, 1987, 1460, 973, 558, 245,
55, 1, 86, 304, 641, 1074, 1573, 2104, 2632, 3120,
3534, 3848, 4039, 4094, 4010, 3793, 3457, 3025, 2526, 1995,
1468, 980, 564, 250, 57, 1, 83, 299, 634, 1065,
1562, 2093, 2621, 3110, 3526, 3842, 4036, 4095, 4014, 3800,
3467, 3037, 2540, 2010, 1482, 993, 575, 257, 61, 0,
78, 290, 622, 1050, 1546, 2076, 2604, 3094, 3513, 3833,
4031, 4095, 4020, 3810, 3481, 3055, 2560, 2031, 1502, 1011,
590, 268, 67, 0, 72, 278, 605, 1029, 1522, 2051,
2580, 3073, 3496, 3820, 4025, 4095, 4026, 3824, 3500, 3078,
2587, 2058, 1529, 1035, 610, 282, 74, 0, 65, 264,
584, 1003, 1493, 2021, 2550, 3045, 3473, 3804, 4016, 4095,
4035, 3840, 3523, 3107, 2619, 2092, 1562, 1065, 635, 300,
84, 1, 56, 246, 558, 972, 1457, 1983, 2514, 3012,
3446, 3784, 4005, 4094, 4044, 3858, 3551, 3141, 2658, 2133,
1602, 1102, 665, 322, 96, 2, 47, 226, 529, 935,
1416, 1940, 2471, 2973, 3413, 3760, 3991, 4091, 4053, 3879,
3582, 3180, 2702, 2180, 1648, 1144, 701, 349, 112, 5,
37, 204, 497, 894, 1369, 1889, 2421, 2927, 3374, 3731,
3975, 4088, 4063, 3902, 3616, 3224, 2752, 2233, 1701, 1193,
742, 380, 130, 10, 27, 181, 461, 848, 1315, 1833,
2365, 2875, 3330, 3698, 3954, 4082, 4073, 3926, 3653, 3272,
2808, 2293, 1761, 1248, 790, 416, 153, 17, 18, 156,
422, 797, 1257, 1770, 2302, 2816, 3279, 3659, 3930, 4074,
4081, 3951, 3693, 3324, 2869, 2359, 1827, 1311, 844, 458,
179, 27, 10, 131, 381, 743, 1193, 1701, 2232, 2751,
3222, 3614, 3901, 4062, 4088, 3977, 3735, 3380, 2935, 2431,
1900, 1380, 904, 506, 211, 40, 4, 106, 338, 686,
1125, 1626, 2156, 2678, 3158, 3563, 3866, 4047, 4093, 4002,
3779, 3439, 3006, 2509, 1980, 1456, 972, 560, 248, 57,
1, 81, 294, 625, 1052, 1545, 2072, 2598, 3087, 3505,
3826, 4027, 4095, 4025, 3823, 3501, 3081, 2592, 2067, 1540,
1047, 621, 292, 80, 0, 58, 250, 563, 975, 1459,
1983, 2511, 3008, 3440, 3779, 4002, 4093, 4047, 3867, 3564,
3160, 2681, 2160, 1630, 1129, 690, 342, 108, 5, 38,
207, 499, 894, 1368, 1887, 2416, 2921, 3368, 3725, 3970,
4087, 4066, 3910, 3629, 3242, 2775, 2259, 1729, 1220, 767,
400, 143, 14, 21, 164, 434, 811, 1272, 1784, 2315,
2827, 3287, 3664, 3932, 4074, 4081, 3951, 3694, 3326, 2872,
2364, 1834, 1318, 852, 465, 185, 29, 8, 125, 369,
727, 1172, 1677, 2206, 2724, 3197, 3594, 3886, 4056, 4091,
3989, 3757, 3411, 2974, 2474, 1946, 1425, 946, 540, 235,
51, 1, 88, 306, 641, 1069, 1563, 2090, 2613, 3099,
3514, 3832, 4030, 4095, 4023, 3820, 3497, 3078, 2590, 2066,
1540, 1048, 624, 294, 82, 1, 56, 245, 555, 964,
1445, 1967, 2494, 2992, 3426, 3768, 3995, 4092, 4052, 3879,
3583, 3184, 2710, 2191, 1663, 1161, 717, 363, 121, 8,
31, 188, 470, 857, 1324, 1838, 2367, 2875, 3327, 3694,
3951, 4081, 4075, 3934, 3667, 3292, 2834, 2323, 1794, 1282,
821, 442, 170, 23, 12, 136, 387, 750, 1199, 1704,
2233, 2749, 3218, 3609, 3896, 4060, 4089, 3983, 3747, 3399,
2960, 2460, 1933, 1413, 936, 533, 231, 49, 2, 90,
309, 643, 1072, 1565, 2090, 2613, 3098, 3513, 3830, 4028,
4095, 4025, 3824, 3504, 3087, 2601, 2078, 1553, 1061, 635,
303, 87, 1, 52, 235, 539, 944, 1422, 1941, 2468,
2967, 3404, 3751, 3985, 4090, 4059, 3894, 3606, 3215, 2746,
2230, 1703, 1198, 750, 388, 136, 12, 23, 169, 439,
817, 1276, 1787, 2315, 2825, 3283, 3660, 3929, 4073, 4082,
3957, 3704, 3341, 2892, 2388, 1860, 1345, 877, 486, 200,
36, 5, 111, 345, 692, 1129, 1627, 2153, 2672, 3150,
3554, 3858, 4042, 4094, 4010, 3795, 3464, 3040, 2549, 2025,
1503, 1017, 599, 277, 73, 0, 63, 257, 571, 982,
1464, 1984, 2509, 3003, 3434, 3773, 3997, 4092, 4052, 3878,
3583, 3186, 2714, 2197, 1671, 1169, 726, 371, 126, 9,
27, 179, 455, 837, 1298, 1810, 2337, 2845, 3300, 3672,
3936, 4075, 4080, 3951, 3695, 3330, 2880, 2375, 1848, 1334,
868, 480, 196, 34, 6, 113, 348, 695, 1133, 1630,
2156, 2674, 3150, 3554, 3858, 4042, 4094, 4011, 3797, 3468,
3045, 2556, 2033, 1511, 1025, 606, 283, 76, 0, 60,
251, 560, 968, 1448, 1967, 2492, 2987, 3420, 3762, 3991,
4091, 4056, 3889, 3599, 3207, 2739, 2224, 1699, 1196, 749,
388, 137, 12, 22, 166, 434, 808, 1265, 1773, 2299,
2809, 3268, 3647, 3920, 4069, 4085, 3966, 3721, 3365, 2922,
2421, 1896, 1380, 909, 513, 218, 44, 3, 96, 318,
654, 1083, 1575, 2098, 2618, 3100, 3513, 3829, 4027, 4095,
4028, 3830, 3514, 3102, 2620, 2101, 1578, 1085, 657, 320,
97, 3, 43, 216, 510, 905, 1375, 1889, 2415, 2915,
3359, 3716, 3963, 4084, 4071, 3924, 3653, 3277, 2820, 2312,
1786, 1278, 820, 443, 172, 25, 11, 131, 377, 733,
1176, 1676, 2201, 2716, 3186, 3582, 3876, 4050, 4093, 4000,
3779, 3444, 3017, 2526, 2004, 1484, 1002, 588, 271, 70,
0, 64, 259, 572, 981, 1461, 1980, 2502, 2995, 3426,
3766, 3992, 4091, 4056, 3888, 3599, 3208, 2741, 2229, 1704,
1202, 755, 394, 141, 14, 20, 160, 424, 794, 1247,
1752, 2277, 2787, 3248, 3630, 3909, 4064, 4088, 3977, 3740,
3391, 2954, 2457, 1934, 1418, 944, 542, 238, 54, 1,
82, 292, 617, 1037, 1522, 2043, 2563, 3050, 3471, 3798,
4010, 4094, 4043, 3861, 3561, 3161, 2687, 2172, 1649, 1152,
713, 363, 122, 8, 28, 181, 455, 835, 1293, 1802,
2326, 2832, 3287, 3660, 3928, 4072, 4083, 3961, 3714, 3357,
2915, 2415, 1892, 1378, 909, 514, 220, 45, 2, 93,
312, 644, 1069, 1558, 2079, 2597, 3080, 3495, 3815, 4020,
4095, 4036, 3847, 3540, 3135, 2659, 2143, 1621, 1127, 693,
347, 113, 6, 33, 191, 471, 854, 1315, 1824, 2348,
2852, 3303, 3673, 3935, 4075, 4081, 3955, 3704, 3344, 2900,
2400, 1876, 1364, 897, 505, 214, 43, 3, 96, 318,
652, 1078, 1567, 2087, 2605, 3086, 3500, 3818, 4021, 4095,
4035, 3845, 3537, 3132, 2657, 2141, 1619, 1126, 692, 347,
114, 6, 32, 190, 469, 851, 1311, 1819, 2343, 2847,
3298, 3668, 3933, 4074, 4082, 3958, 3709, 3352, 2909, 2411,
1888, 1376, 908, 514, 220, 46, 2, 92, 309, 640,
1062, 1549, 2069, 2587, 3070, 3486, 3808, 4015, 4094, 4040,
3856, 3553, 3153, 2680, 2166, 1645, 1149, 713, 363, 123,
9, 27, 178, 450, 826, 1282, 1788, 2311, 2816, 3272,
3647, 3919, 4068, 4086, 3971, 3731, 3381, 2944, 2448, 1927,
1414, 941, 541, 239, 55, 1, 79, 286, 608, 1024,
1506, 2023, 2542, 3029, 3452, 3783, 4001, 4093, 4051, 3879,
3587, 3195, 2729, 2218, 1697, 1198, 754, 394, 143, 15,
19, 155, 415, 780, 1228, 1730, 2251, 2760, 3223, 3608,
3893, 4057, 4091, 3992, 3766, 3429, 3002, 2513, 1993, 1477,
999, 588, 272, 72, 0, 61, 251, 558, 962, 1436,
1950, 2470, 2963, 3396, 3742, 3978, 4088, 4065, 3912, 3637,
3259, 2803, 2297, 1776, 1272, 818, 444, 174, 26, 9,
125, 365, 714, 1150, 1645, 2165, 2678, 3150, 3550, 3853,
4038, 4095, 4018, 3814, 3495, 3082, 2602, 2087, 1568, 1081,
656, 322, 99, 3, 40, 207, 493, 880, 1342, 1850,
2372, 2872, 3318, 3683, 3941, 4076, 4080, 3953, 3701, 3343,
2901, 2403, 1882, 1372, 906, 514, 221, 47, 2, 89,
304, 631, 1051, 1534, 2051, 2568, 3051, 3469, 3795, 4008,
4094, 4047, 3871, 3577, 3184, 2717, 2207, 1687, 1190, 748,
391, 141, 14, 19, 155, 414, 778, 1225, 1724, 2245,
2753, 3215, 3601, 3887, 4055, 4092, 3997, 3776, 3443, 3020,
2534, 2017, 1501, 1021, 607, 287, 80, 1, 53, 235,
534, 931, 1400, 1910, 2430, 2925, 3363, 3716, 3961, 4083,
4073, 3932, 3670, 3303, 2854, 2354, 1833, 1327, 867, 484,
201, 38, 4, 102, 326, 662, 1086, 1573, 2090, 2605,
3083, 3495, 3813, 4017, 4095, 4039, 3856, 3556, 3158, 2689,
2178, 1659, 1165, 728, 376, 132, 12, 22, 164, 427,
794, 1243, 1743, 2263, 2769, 3228, 3611, 3894, 4057, 4091,
3993, 3770, 3435, 3011, 2525, 2009, 1494, 1016, 604, 285,
79, 1, 54, 236, 534, 930, 1398, 1908, 2427, 2921,
3359, 3713, 3959, 4082, 4074, 3936, 3676, 3311, 2865, 2366,
1846, 1340, 879, 494, 208, 41, 3, 97, 316, 647,
1067, 1551, 2067, 2582, 3062, 3477, 3800, 4010, 4094, 4046,
3870, 3576, 3184, 2719, 2211, 1692, 1196, 755, 397, 146,
16, 17, 149, 402, 762, 1204, 1700, 2219, 2727, 3191,
3581, 3873, 4048, 4093, 4008, 3796, 3473, 3057, 2577, 2063,
1547, 1064, 644, 314, 96, 3, 41, 208, 494, 879,
1339, 1844, 2363, 2861, 3308, 3673, 3934, 4073, 4083, 3962,
3718, 3367, 2931, 2439, 1921, 1411, 943, 545, 244, 58,
0, 74, 274, 588, 995, 1470, 1982, 2499, 2986, 3413,
3752, 3983, 4089, 4064, 3910, 3636, 3261, 2807, 2306, 1787,
1285, 832, 458, 184, 31, 7, 113, 343, 683, 1110,
1597, 2113, 2625, 3100, 3507, 3821, 4021, 4095, 4037, 3852,
3552, 3155, 2687, 2178, 1661, 1169, 733, 381, 136, 13,
20, 158, 416, 779, 1223, 1719, 2237, 2743, 3204, 3591,
3879, 4050, 4093, 4005, 3792, 3467, 3051, 2571, 2058, 1544,
1062, 643, 314, 96, 3, 41, 206, 490, 873, 1332,
1836, 2353, 2851, 3298, 3665, 3928, 4071, 4085, 3968, 3729,
3382, 2950, 2460, 1944, 1435, 964, 563, 257, 65, 0,
66, 258, 564, 966, 1436, 1946, 2461, 2951, 3383, 3729,
3968, 4085, 4071, 3928, 3665, 3299, 2853, 2355, 1838, 1334,
876, 493, 208, 42, 3, 94, 311, 638, 1055, 1535,
2049, 2562, 3042, 3459, 3785, 4001, 4092, 4053, 3886, 3602,
3218, 2760, 2256, 1739, 1242, 796, 430, 167, 24, 10,
126, 364, 710, 1141, 1629, 2145, 2654, 3124, 3526, 3834,
4027, 4095, 4032, 3843, 3539, 3140, 2672, 2164, 1649, 1158,
725, 376, 133, 12, 21, 159, 417, 779, 1222, 1717,
2233, 2738, 3198, 3586, 3875, 4048, 4094, 4009, 3800, 3479,
3067, 2590, 2079, 1565, 1083, 661, 328, 105, 5, 35,
193, 469, 845, 1298, 1798, 2315, 2814, 3265, 3638, 3910,
4063, 4089, 3985, 3757, 3421, 2997, 2514, 2000, 1490, 1015,
605, 288, 82, 1, 50, 226, 518, 907, 1368, 1873,
2389, 2883, 3324, 3683, 3939, 4075, 4082, 3960, 3716, 3366,
2933, 2443, 1929, 1422, 954, 556, 253, 63, 0, 67,
259, 565, 965, 1433, 1941, 2455, 2944, 3375, 3723, 3964,
4083, 4073, 3935, 3677, 3316, 2874, 2380, 1865, 1361, 901,
513, 223, 49, 1, 83, 290, 608, 1017, 1492, 2002,
2515, 2998, 3421, 3756, 3984, 4089, 4064, 3912, 3641, 3270,
2821, 2323, 1808, 1307, 854, 477, 198, 37, 4, 100,
319, 647, 1065, 1544, 2056, 2567, 3045, 3459, 3785, 4000,
4092, 4055, 3890, 3609, 3228, 2774, 2273, 1758, 1261, 814,
445, 178, 29, 7, 115, 345, 683, 1107, 1590, 2102,
2611, 3085, 3492, 3809, 4013, 4094, 4045, 3870, 3580, 3192,
2733, 2230, 1715, 1222, 781, 419, 161, 22, 11, 129,
368, 713, 1142, 1629, 2142, 2649, 3118, 3520, 3828, 4024,
4095, 4037, 3853, 3555, 3162, 2698, 2193, 1680, 1189, 753,
398, 148, 17, 15, 141, 387, 739, 1172, 1661, 2175,
2680, 3145, 3541, 3843, 4032, 4095, 4029, 3838, 3534, 3136,
2670, 2164, 1651, 1163, 731, 382, 138, 14, 19, 151,
403, 759, 1196, 1687, 2200, 2704, 3166, 3558, 3855, 4038,
4095, 4023, 3827, 3518, 3117, 2649, 2142, 1630, 1144, 715,
370, 130, 12, 21, 159, 415, 774, 1213, 1705, 2219,
2721, 3181, 3570, 3863, 4042, 4094, 4019, 3819, 3507, 3104,
2634, 2127, 1615, 1131, 704, 362, 126, 10, 23, 164,
423, 784, 1224, 1717, 2230, 2732, 3190, 3577, 3868, 4044,
4094, 4016, 3814, 3501, 3096, 2626, 2119, 1608, 1124, 699,
358, 123, 10, 24, 166, 426, 788, 1229, 1721, 2234,
2736, 3194, 3579, 3869, 4044, 4094, 4015, 3813, 3500, 3095,
2625, 2118, 1607, 1124, 698, 358, 123, 10, 24, 165,
425, 786, 1227, 1719, 2232, 2733, 3191, 3577, 3867, 4043,
4094, 4017, 3815, 3503, 3100, 2630, 2124, 1613, 1130, 704,
362, 126, 11, 23, 162, 420, 779, 1218, 1710, 2222,
2723, 3182, 3570, 3862, 4041, 4095, 4020, 3822, 3512, 3111,
2643, 2137, 1627, 1142, 714, 370, 131, 12, 21, 156,
410, 767, 1204, 1693, 2205, 2707, 3168, 3558, 3854, 4037,
4095, 4025, 3831, 3525, 3127, 2662, 2158, 1647, 1161, 731,
383, 139, 15, 18, 148, 397, 749, 1182, 1670, 2181,
2684, 3147, 3541, 3842, 4031, 4095, 4031, 3844, 3544, 3150,
2688, 2185, 1674, 1186, 752, 399, 149, 18, 14, 137,
379, 726, 1155, 1640, 2150, 2654, 3120, 3519, 3826, 4022,
4095, 4039, 3859, 3566, 3179, 2720, 2219, 1708, 1218, 780,
421, 163, 23, 10, 124, 358, 697, 1121, 1603, 2112,
2617, 3087, 3492, 3807, 4011, 4094, 4048, 3878, 3593, 3212,
2759, 2261, 1749, 1257, 813, 447, 180, 30, 6, 109,
333, 664, 1081, 1559, 2067, 2573, 3047, 3459, 3782, 3998,
4091, 4058, 3899, 3624, 3252, 2804, 2309, 1798, 1302, 853,
478, 202, 40, 3, 94, 306, 627, 1036, 1509, 2015,
2523, 3001, 3420, 3753, 3981, 4088, 4067, 3921, 3659, 3296,
2855, 2364, 1853, 1355, 899, 515, 227, 52, 1, 77,
276, 585, 986, 1452, 1955, 2464, 2947, 3375, 3719, 3960,
4081, 4076, 3945, 3696, 3344, 2912, 2426, 1916, 1415, 953,
559, 257, 67, 0, 60, 244, 540, 930, 1389, 1889,
2399, 2887, 3323, 3679, 3935, 4072, 4085, 3970, 3736, 3397,
2975, 2494, 1986, 1482, 1013, 608, 293, 86, 2, 44,
211, 492, 869, 1320, 1816, 2326, 2819, 3264, 3633, 3904,
4060, 4091, 3995, 3778, 3454, 3042, 2569, 2063, 1557, 1081,
665, 334, 110, 7, 29, 177, 441, 805, 1246, 1736,
2246, 2743, 3197, 3580, 3868, 4043, 4094, 4019, 3821, 3513,
3115, 2650, 2148, 1639, 1156, 729, 383, 140, 15, 17,
144, 389, 737, 1166, 1650, 2158, 2659, 3123, 3520, 3826,
4021, 4095, 4041, 3864, 3575, 3191, 2736, 2239, 1730, 1240,
800, 438, 175, 29, 7, 111, 336, 666, 1082, 1557,
2063, 2568, 3041, 3452, 3776, 3993, 4090, 4061, 3907, 3638,
3271, 2828, 2336, 1827, 1332, 881, 502, 218, 48, 1,
81, 282, 593, 993, 1459, 1961, 2468, 2950, 3375, 3719,
3959, 4081, 4077, 3948, 3702, 3353, 2924, 2440, 1933, 1432,
970, 574, 269, 74, 0, 54, 230, 519, 902, 1356,
1852, 2361, 2850, 3289, 3652, 3916, 4065, 4089, 3987, 3765,
3437, 3024, 2550, 2046, 1541, 1068, 655, 328, 107, 6,
31, 180, 444, 808, 1248, 1737, 2245, 2741, 3194, 3577,
3865, 4041, 4095, 4022, 3827, 3522, 3127, 2665, 2165, 1658,
1175, 746, 396, 149, 19, 13, 133, 371, 712, 1136,
1615, 2122, 2623, 3090, 3491, 3804, 4009, 4093, 4051, 3886,
3607, 3232, 2785, 2292, 1784, 1292, 847, 475, 201, 40,
3, 91, 300, 617, 1021, 1489, 1991, 2497, 2974, 3395,
3733, 3967, 4083, 4074, 3940, 3690, 3339, 2908, 2424, 1917,
1419, 959, 565, 263, 71, 0, 55, 233, 522, 905,
1358, 1854, 2361, 2849, 3288, 3651, 3915, 4064, 4089, 3989,
3770, 3445, 3034, 2562, 2059, 1555, 1081, 667, 338, 113,
7, 27, 171, 430, 788, 1224, 1710, 2217, 2713, 3169,
3556, 3850, 4033, 4095, 4031, 3845, 3549, 3161, 2704, 2207,
1700, 1215, 781, 424, 167, 26, 8, 116, 342, 672,
1087, 1561, 2065, 2568, 3038, 3448, 3772, 3990, 4090, 4064,
3914, 3650, 3287, 2849, 2362, 1855, 1360, 907, 524, 235,
57, 0, 69, 259, 559, 950, 1408, 1906, 2412, 2896,
3327, 3681, 3934, 4072, 4085, 3974, 3745, 3412, 2996, 2521,
2018, 1516, 1047, 639, 317, 101, 5, 33, 185, 451,
814, 1253, 1741, 2247, 2741, 3193, 3574, 3862, 4040, 4095,
4025, 3834, 3534, 3143, 2685, 2187, 1682, 1199, 767, 414,
161, 24, 9, 120, 348, 681, 1096, 1570, 2073, 2575,
3044, 3453, 3775, 3992, 4090, 4063, 3913, 3649, 3287, 2850,
2363, 1858, 1363, 911, 528, 238, 58, 0, 67, 255,
552, 941, 1397, 1893, 2398, 2882, 3315, 3671, 3927, 4069,
4087, 3981, 3757, 3428, 3016, 2544, 2042, 1540, 1069, 658,
332, 110, 7, 28, 172, 431, 788, 1222, 1706, 2212,
2707, 3162, 3549, 3844, 4030, 4095, 4035, 3854, 3563, 3179,
2727, 2233, 1728, 1242, 805, 445, 181, 32, 5, 103,
319, 641, 1048, 1516, 2017, 2519, 2993, 3409, 3742, 3972,
4085, 4073, 3939, 3689, 3339, 2911, 2430, 1925, 1429, 970,
576, 272, 77, 1, 49, 220, 501, 877, 1324, 1815,
2320, 2808, 3251, 3619, 3893, 4054, 4093, 4007, 3803, 3491,
3092, 2629, 2131, 1628, 1150, 727, 384, 143, 17, 14,
136, 373, 712, 1132, 1608, 2111, 2610, 3074, 3477, 3792,
4001, 4092, 4058, 3902, 3634, 3269, 2830, 2343, 1839, 1347,
898, 518, 232, 55, 0, 69, 258, 556, 945, 1400,
1895, 2398, 2881, 3313, 3668, 3925, 4068, 4088, 3984, 3763,
3438, 3028, 2559, 2059, 1558, 1087, 674, 345, 118, 9,
24, 161, 413, 763, 1192, 1673, 2176, 2671, 3129, 3521,
3824, 4019, 4094, 4046, 3876, 3595, 3221, 2775, 2286, 1782,
1294, 852, 482, 207, 44, 2, 84, 285, 593, 989,
1449, 1945, 2448, 2926, 3351, 3697, 3943, 4075, 4083, 3969,
3738, 3405, 2989, 2517, 2016, 1517, 1050, 644, 322, 105,
6, 30, 176, 436, 793, 1226, 1708, 2211, 2705, 3158,
3544, 3840, 4027, 4095, 4039, 3862, 3575, 3196, 2748, 2257,
1754, 1268, 830, 465, 196, 39, 3, 91, 297, 609,
1008, 1469, 1966, 2468, 2944, 3366, 3708, 3950, 4077, 4082,
3963, 3729, 3393, 2976, 2503, 2002, 1504, 1039, 635, 316,
102, 5, 32, 180, 441, 799, 1232, 1715, 2218, 2710,
3162, 3547, 3842, 4028, 4095, 4038, 3861, 3575, 3196, 2748,
2258, 1755, 1270, 832, 467, 197, 39, 3, 89, 294,
604, 1001, 1462, 1958, 2459, 2935, 3358, 3702, 3946, 4076,
4083, 3968, 3737, 3404, 2989, 2518, 2018, 1520, 1054, 648,
326, 108, 7, 28, 172, 428, 782, 1212, 1692, 2194,
2687, 3142, 3530, 3829, 4021, 4094, 4044, 3874, 3593, 3220,
2776, 2288, 1786, 1299, 858, 488, 212, 46, 1, 79,
276, 579, 970, 1426, 1920, 2421, 2900, 3328, 3678, 3930,
4070, 4087, 3982, 3760, 3436, 3028, 2561, 2063, 1565, 1095,
682, 352, 124, 11, 21, 152, 398, 742, 1165, 1641,
2142, 2636, 3096, 3492, 3802, 4006, 4092, 4056, 3899, 3631,
3268, 2831, 2347, 1846, 1356, 908, 529, 240, 61, 0,
62, 244, 534, 915, 1363, 1853, 2354, 2837, 3273, 3635,
3902, 4057, 4092, 4004, 3799, 3489, 3092, 2632, 2138, 1638,
1163, 740, 397, 152, 21, 11, 124, 351, 681, 1093,
1561, 2059, 2557, 3023, 3431, 3757, 3979, 4086, 4071, 3934,
3685, 3337, 2912, 2435, 1935, 1442, 985, 592, 285, 85,
2, 42, 201, 472, 836, 1273, 1757, 2258, 2746, 3193,
3571, 3857, 4036, 4095, 4032, 3850, 3560, 3179, 2731, 2242,
1741, 1259, 824, 462, 195, 39, 3, 89, 293, 601,
996, 1454, 1948, 2447, 2923, 3346, 3691, 3938, 4072, 4085,
3977, 3752, 3426, 3018, 2551, 2054, 1557, 1090, 679, 350,
123, 11, 20, 151, 395, 738, 1159, 1633, 2132, 2625,
3085, 3482, 3794, 4001, 4091, 4060, 3908, 3645, 3287, 2855,
2374, 1874, 1385, 935, 551, 257, 70, 0, 53, 225,
506, 879, 1321, 1807, 2307, 2792, 3232, 3602, 3879, 4046,
4094, 4020, 3829, 3531, 3145, 2693, 2203, 1703, 1224, 794,
439, 180, 32, 5, 99, 309, 623, 1022, 1482, 1976,
2474, 2946, 3365, 3706, 3947, 4076, 4083, 3969, 3741, 3412,
3001, 2534, 2038, 1542, 1076, 669, 343, 119, 10, 22,
155, 400, 744, 1165, 1639, 2137, 2630, 3088, 3484, 3794,
4001, 4091, 4060, 3909, 3647, 3290, 2859, 2380, 1880, 1391,
941, 557, 262, 72, 0, 51, 219, 497, 867, 1307,
1791, 2290, 2775, 3217, 3589, 3869, 4041, 4095, 4027, 3841,
3548, 3167, 2719, 2231, 1732, 1252, 819, 459, 194, 38,
3, 88, 290, 597, 990, 1445, 1936, 2434, 2909, 3333,
3680, 3931, 4069, 4088, 3985, 3767, 3447, 3044, 2582, 2088,
1592, 1123, 709, 374, 138, 16, 14, 134, 366, 699,
1111, 1579, 2075, 2569, 3032, 3437, 3759, 3980, 4086, 4071,
3937, 3690, 3345, 2924, 2451, 1954, 1462, 1005, 610, 300,
94, 4, 34, 185, 445, 801, 1230, 1708, 2206, 2694,
3145, 3530, 3827, 4019, 4094, 4048, 3883, 3610, 3244, 2807,
2325, 1827, 1342, 898, 523, 238, 60, 0, 61, 240,
526, 901, 1345, 1830, 2328, 2810, 3246, 3612, 3884, 4048,
4094, 4019, 3826, 3529, 3144, 2694, 2206, 1708, 1231, 802,
446, 186, 35, 3, 93, 298, 606, 1000, 1455, 1946,
2443, 2916, 3338, 3683, 3932, 4070, 4087, 3985, 3768, 3449,
3047, 2586, 2094, 1599, 1130, 715, 380, 142, 18, 13,
128, 357, 686, 1095, 1560, 2054, 2548, 3012, 3419, 3745,
3971, 4084, 4076, 3948, 3708, 3370, 2954, 2485, 1989, 1498,
1038, 638, 322, 107, 7, 27, 166, 417, 763, 1186,
1659, 2155, 2645, 3099, 3492, 3799, 4003, 4092, 4060, 3909,
3649, 3294, 2866, 2389, 1893, 1405, 956, 570, 272, 79,
1, 44, 206, 475, 838, 1271, 1751, 2248, 2733, 3177,
3556, 3845, 4028, 4095, 4041, 3870, 3591, 3221, 2783, 2301,
1804, 1321, 882, 511, 230, 56, 0, 64, 245, 532,
908, 1352, 1836, 2332, 2812, 3247, 3611, 3884, 4048, 4094,
4020, 3830, 3535, 3153, 2706, 2219, 1723, 1246, 816, 459,
194, 39, 2, 85, 284, 586, 975, 1426, 1914, 2409,
2884, 3309, 3660, 3916, 4063, 4091, 3999, 3792, 3483, 3089,
2635, 2145, 1650, 1179, 758, 413, 165, 26, 7, 107,
322, 637, 1036, 1493, 1984, 2478, 2947, 3363, 3702, 3943,
4074, 4085, 3977, 3756, 3434, 3031, 2570, 2079, 1586, 1120,
708, 375, 140, 17, 13, 129, 357, 684, 1091, 1554,
2047, 2539, 3002, 3410, 3737, 3966, 4082, 4078, 3956, 3722,
3389, 2978, 2513, 2020, 1529, 1068, 665, 342, 120, 10,
20, 149, 389, 726, 1141, 1608, 2102, 2592, 3050, 3450,
3767, 3984, 4087, 4071, 3936, 3691, 3350, 2932, 2462, 1969,
1480, 1024, 628, 315, 104, 6, 28, 168, 418, 763,
1184, 1655, 2149, 2637, 3091, 3483, 3792, 3998, 4090, 4063,
3918, 3664, 3315, 2892, 2419, 1925, 1438, 987, 597, 293,
91, 3, 35, 185, 443, 795, 1221, 1694, 2189, 2675,
3124, 3511, 3811, 4009, 4093, 4056, 3903, 3641, 3286, 2858,
2384, 1889, 1404, 957, 573, 275, 81, 2, 42, 199,
464, 822, 1251, 1726, 2221, 2705, 3151, 3532, 3827, 4018,
4094, 4050, 3890, 3622, 3262, 2832, 2356, 1861, 1378, 933,
554, 262, 74, 1, 47, 210, 480, 842, 1274, 1751,
2245, 2728, 3171, 3548, 3838, 4024, 4095, 4046, 3880, 3608,
3245, 2812, 2335, 1841, 1359, 917, 541, 252, 69, 0,
51, 218, 492, 856, 1290, 1768, 2262, 2743, 3184, 3559,
3846, 4028, 4095, 4042, 3874, 3599, 3234, 2800, 2322, 1828,
1347, 906, 532, 247, 66, 0, 54, 223, 499, 864,
1299, 1777, 2271, 2752, 3191, 3565, 3850, 4030, 4095, 4041,
3871, 3595, 3229, 2794, 2316, 1822, 1342, 902, 529, 245,
65, 0, 54, 224, 501, 866, 1301, 1779, 2272, 2753,
3192, 3565, 3850, 4030, 4095, 4041, 3871, 3596, 3230, 2796,
2318, 1825, 1344, 905, 532, 246, 66, 0, 53, 222,
497, 862, 1296, 1773, 2266, 2747, 3187, 3560, 3846, 4028,
4095, 4043, 3875, 3601, 3237, 2805, 2328, 1835, 1354, 914,
539, 252, 69, 0, 51, 217, 489, 852, 1283, 1760,
2252, 2733, 3175, 3550, 3839, 4024, 4094, 4046, 3882, 3612,
3251, 2820, 2345, 1852, 1371, 929, 552, 261, 74, 1,
46, 208, 476, 835, 1264, 1739, 2231, 2713, 3156, 3535,
3828, 4018, 4094, 4051, 3893, 3627, 3271, 2843, 2370, 1877,
1395, 951, 570, 274, 81, 2, 41, 196, 458, 812,
1238, 1710, 2202, 2685, 3131, 3514, 3813, 4009, 4093, 4057,
3906, 3647, 3296, 2873, 2402, 1910, 1427, 979, 593, 291,
91, 3, 34, 181, 436, 784, 1205, 1674, 2165, 2650,
3099, 3488, 3793, 3998, 4090, 4064, 3922, 3672, 3327, 2909,
2441, 1951, 1466, 1014, 623, 313, 104, 6, 27, 164,
410, 750, 1165, 1631, 2121, 2607, 3060, 3455, 3769, 3984,
4087, 4072, 3941, 3700, 3364, 2952, 2488, 1999, 1513, 1057,
658, 340, 120, 11, 19, 145, 380, 711, 1119, 1580,
2069, 2556, 3014, 3416, 3740, 3966, 4081, 4079, 3961, 3732,
3406, 3002, 2543, 2055, 1567, 1107, 701, 372, 140, 18,
12, 124, 346, 667, 1066, 1523, 2009, 2498, 2961, 3371,
3705, 3943, 4073, 4086, 3982, 3766, 3452, 3057, 2604, 2119,
1629, 1164, 750, 410, 165, 27, 6, 102, 310, 618,
1008, 1458, 1942, 2432, 2899, 3318, 3664, 3916, 4062, 4091,
4004, 3803, 3502, 3118, 2672, 2190, 1700, 1229, 806, 455,
194, 40, 2, 81, 272, 566, 945, 1387, 1867, 2357,
2830, 3257, 3616, 3884, 4046, 4095, 4025, 3842, 3556, 3184,
2746, 2268, 1778, 1303, 871, 506, 230, 58, 0, 60,
233, 511, 877, 1310, 1785, 2275, 2752, 3189, 3560, 3845,
4027, 4095, 4045, 3882, 3613, 3254, 2826, 2354, 1864, 1385,
943, 565, 272, 81, 2, 40, 194, 453, 804, 1226,
1695, 2185, 2666, 3112, 3497, 3799, 4001, 4091, 4064, 3921,
3671, 3328, 2912, 2447, 1958, 1475, 1024, 633, 322, 109,
8, 23, 155, 394, 728, 1138, 1599, 2087, 2572, 3027,
3426, 3746, 3969, 4082, 4079, 3959, 3731, 3406, 3003, 2546,
2060, 1574, 1115, 709, 379, 145, 20, 10, 117, 335,
650, 1045, 1497, 1981, 2468, 2932, 3345, 3684, 3929, 4067,
4089, 3995, 3790, 3485, 3098, 2651, 2170, 1682, 1214, 794,
446, 189, 38, 2, 83, 276, 569, 948, 1389, 1867,
2356, 2827, 3254, 3612, 3881, 4045, 4095, 4028, 3848, 3566,
3197, 2762, 2287, 1798, 1323, 890, 523, 242, 65, 0,
52, 218, 489, 848, 1275, 1747, 2236, 2713, 3153, 3530,
3823, 4014, 4093, 4056, 3904, 3646, 3298, 2878, 2411, 1923,
1442, 996, 610, 305, 100, 6, 28, 165, 409, 746,
1158, 1620, 2107, 2590, 3042, 3438, 3754, 3974, 4083, 4077,
3956, 3725, 3400, 2997, 2541, 2056, 1571, 1113, 708, 379,
146, 20, 10, 116, 331, 644, 1037, 1488, 1970, 2456,
2920, 3333, 3674, 3922, 4064, 4091, 4002, 3801, 3501, 3119,
2676, 2196, 1709, 1241, 818, 466, 203, 45, 1, 73,
257, 543, 915, 1350, 1826, 2314, 2786, 3217, 3582, 3859,
4033, 4095, 4040, 3873, 3601, 3242, 2815, 2344, 1856, 1379,
941, 565, 273, 82, 2, 38, 189, 445, 792, 1210,
1675, 2162, 2642, 3088, 3476, 3782, 3990, 4088, 4070, 3938,
3698, 3365, 2957, 2497, 2012, 1529, 1076, 677, 356, 132,
15, 14, 128, 351, 670, 1067, 1519, 2002, 2487, 2947,
3356, 3691, 3933, 4068, 4089, 3994, 3789, 3485, 3100, 2655,
2176, 1690, 1224, 804, 455, 196, 42, 1, 77, 263,
551, 923, 1359, 1834, 2321, 2793, 3222, 3585, 3861, 4034,
4095, 4040, 3872, 3602, 3243, 2816, 2347, 1860, 1384, 945,
569, 276, 84, 2, 37, 184, 437, 782, 1197, 1661,
2146, 2626, 3074, 3463, 3772, 3984, 4086, 4073, 3946, 3712,
3383, 2979, 2523, 2039, 1556, 1101, 699, 374, 143, 19,
10, 116, 331, 643, 1035, 1483, 1963, 2448, 2910, 3324,
3666, 3916, 4061, 4092, 4008, 3813, 3519, 3141, 2702, 2226,
1740, 1271, 846, 489, 220, 54, 0, 62, 235, 511,
874, 1302, 1773, 2259, 2733, 3169, 3541, 3829, 4017, 4093,
4055, 3903, 3647, 3300, 2883, 2419, 1934, 1456, 1010, 623,
317, 108, 8, 23, 152, 388, 717, 1121, 1578, 2060,
2543, 2997, 3397, 3722, 3953, 4076, 4085, 3979, 3765, 3454,
3063, 2616, 2137, 1653, 1190, 777, 434, 183, 36, 3,
84, 276, 568, 943, 1380, 1854, 2340, 2809, 3235, 3594,
3867, 4037, 4095, 4038, 3869, 3598, 3240, 2815, 2346, 1861,
1386, 949, 573, 280, 86, 3, 34, 179, 429, 769,
1181, 1642, 2126, 2605, 3053, 3445, 3758, 3975, 4083, 4078,
3958, 3731, 3410, 3012, 2560, 2079, 1597, 1139, 733, 401,
161, 27, 6, 100, 303, 604, 986, 1428, 1904, 2388,
2854, 3274, 3625, 3888, 4047, 4095, 4027, 3849, 3569, 3205,
2775, 2304, 1820, 1348, 915, 546, 261, 76, 1, 42,
194, 451, 797, 1213, 1676, 2160, 2637, 3081, 3468, 3775,
3985, 4086, 4074, 3947, 3715, 3389, 2988, 2534, 2053, 1572,
1117, 715, 387, 152, 23, 8, 106, 314, 618, 1003,
1445, 1922, 2406, 2869, 3287, 3635, 3894, 4050, 4094, 4024,
3843, 3561, 3195, 2765, 2294, 1810, 1339, 908, 540, 257,
74, 1, 43, 196, 454, 800, 1216, 1679, 2162, 2638,
3082, 3468, 3774, 3984, 4086, 4074, 3949, 3717, 3392, 2992,
2539, 2059, 1578, 1124, 721, 392, 155, 25, 7, 103,
308, 610, 992, 1433, 1908, 2392, 2855, 3274, 3625, 3887,
4047, 4095, 4028, 3852, 3574, 3212, 2784, 2316, 1832, 1360,
927, 557, 269, 81, 2, 38, 185, 437, 778, 1190,
1650, 2132, 2609, 3055, 3445, 3757, 3973, 4083, 4079, 3961,
3737, 3419, 3024, 2575, 2097, 1616, 1158, 751, 416, 171,
31, 4, 90, 285, 579, 954, 1390, 1863, 2346, 2812,
3236, 3594, 3865, 4035, 4095, 4041, 3875, 3608, 3254, 2833,
2368, 1886, 1412, 974, 595, 298, 97, 5, 27, 162,
401, 731, 1135, 1590, 2070, 2549, 3000, 3398, 3721, 3951,
4075, 4086, 3984, 3774, 3468, 3084, 2641, 2166, 1684, 1223,
807, 460, 201, 45, 1, 70, 249, 527, 891, 1318,
1786, 2269, 2739, 3171, 3540, 3827, 4014, 4093, 4058, 3911,
3661, 3321, 2910, 2452, 1971, 1495, 1049, 658, 345, 126,
14, 15, 128, 348, 663, 1054, 1500, 1977, 2457, 2915,
3325, 3664, 3913, 4059, 4093, 4013, 3825, 3538, 3169, 2737,
2267, 1785, 1317, 890, 527, 249, 70, 1, 45, 200,
458, 803, 1218, 1678, 2159, 2634, 3077, 3462, 3769, 3980,
4085, 4076, 3955, 3729, 3409, 3014, 2566, 2089, 1609, 1154,
748, 414, 171, 32, 4, 89, 283, 574, 947, 1381,
1852, 2333, 2799, 3223, 3582, 3856, 4030, 4095, 4046, 3886,
3625, 3277, 2860, 2399, 1918, 1444, 1004, 622, 318, 110,
9, 21, 145, 374, 695, 1092, 1541, 2018, 2497, 2951,
3355, 3687, 3928, 4065, 4091, 4004, 3808, 3516, 3142, 2708,
2238, 1756, 1291, 868, 510, 237, 64, 0, 50, 209,
471, 819, 1235, 1696, 2176, 2650, 3090, 3472, 3776, 3984,
4086, 4075, 3952, 3724, 3403, 3008, 2560, 2083, 1605, 1151,
746, 413, 171, 32, 4, 88, 281, 571, 943, 1376,
1845, 2326, 2791, 3215, 3575, 3851, 4027, 4094, 4049, 3893,
3635, 3290, 2876, 2417, 1937, 1464, 1022, 637, 330, 118,
11, 17, 135, 358, 674, 1066, 1512, 1987, 2466, 2921,
3329, 3666, 3913, 4058, 4093, 4015, 3828, 3544, 3177, 2748,
2280, 1800, 1333, 906, 541, 260, 76, 2, 39, 188,
438, 777, 1186, 1642, 2121, 2596, 3040, 3430, 3743, 3964,
4079, 4083, 3974, 3760, 3451, 3066, 2624, 2151, 1672, 1213,
801, 457, 201, 46, 1, 68, 244, 520, 879, 1302,
1767, 2246, 2715, 3147, 3519, 3810, 4004, 4091, 4065, 3929,
3689, 3359, 2958, 2506, 2029, 1553, 1104, 707, 384, 152,
24, 7, 102, 304, 601, 978, 1413, 1884, 2363, 2825,
3244, 3598, 3866, 4035, 4095, 4042, 3881, 3618, 3270, 2854,
2394, 1915, 1444, 1006, 624, 321, 112, 10, 19, 139,
364, 681, 1073, 1519, 1993, 2470, 2925, 3331, 3666, 3913,
4058, 4093, 4016, 3830, 3548, 3183, 2756, 2290, 1811, 1345,
917, 551, 267, 81, 2, 36, 179, 425, 759, 1164,
1617, 2094, 2569, 3014, 3407, 3726, 3952, 4075, 4086, 3986,
3780, 3479, 3100, 2663, 2193, 1715, 1255, 838, 487, 222,
57, 0, 55, 220, 484, 834, 1250, 1709, 2187, 2658,
3095, 3475, 3777, 3984, 4085, 4076, 3955, 3730, 3413, 3022,
2578, 2104, 1627, 1174, 768, 432, 184, 38, 2, 77,
260, 541, 904, 1329, 1793, 2272, 2738, 3166, 3534, 3820,
4009, 4092, 4063, 3924, 3682, 3352, 2950, 2499, 2023, 1549,
1102, 706, 384, 153, 24, 6, 100, 300, 594, 969,
1402, 1870, 2348, 2809, 3229, 3585, 3856, 4029, 4095, 4048,
3893, 3637, 3294, 2884, 2427, 1951, 1479, 1039, 653, 344,
127, 15, 13, 123, 337, 644, 1028, 1467, 1938, 2415,
2872, 3284, 3628, 3887, 4045, 4095, 4033, 3863, 3595, 3242,
2824, 2364, 1887, 1418, 984, 607, 309, 106, 8, 21,
145, 371, 689, 1081, 1526, 1998, 2474, 2926, 3330, 3665,
3912, 4057, 4093, 4018, 3836, 3556, 3195, 2771, 2308, 1831,
1365, 937, 569, 281, 89, 4, 30, 165, 403, 730,
1128, 1576, 2050, 2524, 2972, 3370, 3696, 3932, 4066, 4091,
4004, 3811, 3523, 3154, 2726, 2260, 1783, 1321, 898, 537,
258, 76, 2, 38, 183, 430, 764, 1168, 1619, 2094,
2566, 3011, 3402, 3721, 3948, 4073, 4087, 3992, 3790, 3494,
3120, 2688, 2221, 1744, 1284, 866, 511, 240, 66, 0,
46, 199, 453, 793, 1201, 1655, 2130, 2600, 3041, 3428,
3740, 3961, 4077, 4084, 3981, 3773, 3471, 3093, 2657, 2189,
1713, 1256, 841, 491, 226, 59, 0, 52, 212, 471,
815, 1226, 1682, 2157, 2626, 3064, 3447, 3755, 3970, 4081,
4082, 3973, 3759, 3454, 3072, 2635, 2166, 1691, 1235, 823,
477, 216, 54, 0, 57, 221, 484, 831, 1244, 1701,
2176, 2644, 3080, 3461, 3765, 3976, 4083, 4080, 3967, 3750,
3442, 3058, 2620, 2151, 1676, 1221, 811, 468, 210, 51,
0, 60, 226, 491, 841, 1255, 1712, 2187, 2654, 3089,
3468, 3770, 3979, 4084, 4079, 3964, 3746, 3436, 3052, 2613,
2144, 1670, 1216, 807, 464, 208, 50, 0, 61, 228,
494, 843, 1258, 1715, 2189, 2657, 3091, 3469, 3770, 3979,
4084, 4078, 3964, 3746, 3437, 3053, 2614, 2145, 1671, 1218,
808, 466, 209, 51, 0, 60, 226, 491, 839, 1253,
1709, 2184, 2651, 3085, 3464, 3767, 3977, 4083, 4079, 3967,
3751, 3443, 3060, 2623, 2155, 1681, 1227, 817, 473, 214,
53, 0, 57, 221, 483, 829, 1241, 1696, 2170, 2637,
3073, 3453, 3758, 3971, 4081, 4081, 3972, 3760, 3456, 3075,
2640, 2173, 1699, 1244, 832, 485, 223, 58, 0, 52,
211, 469, 812, 1221, 1674, 2148, 2616, 3053, 3437, 3745,
3963, 4078, 4084, 3981, 3774, 3474, 3097, 2665, 2199, 1725,
1269, 854, 503, 235, 65, 0, 46, 199, 451, 788,
1194, 1645, 2117, 2586, 3026, 3413, 3727, 3952, 4074, 4087,
3991, 3791, 3498, 3126, 2697, 2233, 1760, 1301, 883, 527,
252, 74, 1, 38, 183, 428, 759, 1159, 1607, 2078,
2548, 2991, 3383, 3704, 3936, 4067, 4090, 4004, 3813, 3527,
3162, 2737, 2276, 1802, 1342, 919, 557, 274, 86, 4,
30, 165, 400, 723, 1118, 1562, 2031, 2502, 2949, 3347,
3676, 3917, 4059, 4093, 4018, 3837, 3561, 3204, 2785, 2326,
1853, 1390, 963, 593, 301, 102, 7, 22, 144, 369,
682, 1069, 1508, 1976, 2448, 2898, 3303, 3641, 3893, 4047,
4095, 4033, 3865, 3600, 3252, 2839, 2385, 1913, 1447, 1014,
636, 333, 122, 14, 14, 122, 334, 636, 1015, 1448,
1913, 2385, 2839, 3251, 3599, 3864, 4032, 4095, 4048, 3894,
3642, 3305, 2901, 2451, 1980, 1513, 1074, 687, 372, 147,
23, 7, 100, 296, 586, 954, 1380, 1841, 2314, 2772,
3192, 3551, 3829, 4013, 4092, 4062, 3925, 3688, 3363, 2969,
2525, 2056, 1587, 1142, 745, 418, 177, 36, 2, 77,
257, 532, 887, 1305, 1762, 2234, 2696, 3124, 3494, 3788,
3989, 4086, 4075, 3957, 3736, 3426, 3043, 2606, 2140, 1669,
1219, 812, 471, 213, 54, 0, 55, 216, 474, 816,
1224, 1675, 2146, 2611, 3047, 3430, 3739, 3958, 4076, 4086,
3988, 3786, 3493, 3122, 2695, 2233, 1761, 1305, 888, 532,
257, 77, 2, 35, 175, 415, 741, 1137, 1580, 2049,
2518, 2961, 3356, 3682, 3921, 4060, 4093, 4017, 3837, 3562,
3206, 2789, 2333, 1861, 1400, 973, 603, 309, 108, 9,
19, 136, 354, 663, 1044, 1479, 1944, 2414, 2865, 3273,
3616, 3875, 4038, 4095, 4044, 3887, 3632, 3294, 2889, 2440,
1971, 1505, 1068, 683, 370, 146, 23, 7, 99, 294,
582, 948, 1371, 1831, 2302, 2760, 3180, 3539, 3820, 4008,
4091, 4066, 3935, 3703, 3384, 2995, 2555, 2088, 1619, 1173,
773, 441, 193, 44, 1, 65, 235, 500, 848, 1258,
1711, 2181, 2644, 3076, 3453, 3756, 3968, 4079, 4083, 3979,
3773, 3476, 3104, 2675, 2214, 1743, 1289, 875, 523, 251,
74, 2, 37, 179, 419, 745, 1140, 1583, 2051, 2518,
2960, 3355, 3680, 3919, 4059, 4093, 4019, 3841, 3569, 3216,
2801, 2347, 1877, 1416, 988, 616, 320, 115, 12, 16,
127, 340, 642, 1019, 1450, 1913, 2382, 2834, 3245, 3592,
3858, 4028, 4094, 4052, 3905, 3660, 3329, 2931, 2487, 2019,
1553, 1113, 722, 401, 167, 32, 3, 82, 264, 540,
896, 1312, 1767, 2236, 2696, 3122, 3491, 3784, 3985, 4085,
4077, 3963, 3747, 3443, 3064, 2633, 2170, 1701, 1250, 842,
496, 233, 64, 0, 44, 193, 440, 771, 1170, 1614,
2082, 2547, 2986, 3376, 3696, 3929, 4064, 4092, 4013, 3830,
3554, 3199, 2783, 2328, 1859, 1400, 975, 606, 312, 110,
10, 17, 131, 345, 648, 1026, 1456, 1918, 2387, 2838,
3247, 3593, 3858, 4028, 4094, 4053, 3906, 3662, 3333, 2936,
2493, 2027, 1561, 1121, 730, 408, 172, 34, 2, 78,
256, 529, 881, 1295, 1747, 2216, 2676, 3103, 3474, 3771,
3977, 4082, 4081, 3972, 3763, 3464, 3091, 2663, 2202, 1734,
1282, 870, 520, 250, 74, 2, 36, 177, 415, 738,
1131, 1571, 2036, 2502, 2944, 3339, 3666, 3909, 4054, 4094,
4027, 3856, 3591, 3244, 2835, 2385, 1917, 1456, 1026, 650,
346, 132, 18, 10, 108, 309, 600, 967, 1390, 1848,
2316, 2770, 3187, 3543, 3822, 4008, 4091, 4067, 3938, 3710,
3395, 3009, 2573, 2110, 1644, 1198, 797, 462, 209, 52,
0, 55, 213, 468, 805, 1207, 1653, 2120, 2583, 3017,
3402, 3715, 3941, 4068, 4090, 4005, 3818, 3539, 3181, 2765,
2310, 1843, 1386, 963, 597, 307, 108, 10, 18, 132,
346, 649, 1025, 1454, 1915, 2382, 2831, 3240, 3587, 3853,
4025, 4094, 4056, 3913, 3673, 3349, 2956, 2516, 2052, 1587,
1147, 753, 427, 185, 41, 1, 68, 238, 502, 847,
1254, 1703, 2169, 2630, 3060, 3437, 3742, 3958, 4075, 4087,
3992, 3796, 3509, 3145, 2725, 2269, 1802, 1348, 930, 570,
287, 96, 6, 23, 145, 366, 675, 1055, 1486, 1947,
2413, 2860, 3265, 3606, 3867, 4032, 4095, 4050, 3902, 3657,
3329, 2934, 2492, 2028, 1565, 1126, 736, 414, 177, 37,
2, 73, 246, 513, 860, 1269, 1718, 2185, 2644, 3072,
3447, 3749, 3963, 4077, 4086, 3989, 3791, 3502, 3138, 2718,
2262, 1796, 1342, 925, 567, 285, 95, 6, 23, 146,
367, 675, 1055, 1486, 1946, 2411, 2858, 3262, 3604, 3865,
4031, 4094, 4052, 3905, 3662, 3335, 2942, 2502, 2038, 1575,
1137, 745, 422, 182, 40, 1, 69, 239, 503, 847,
1253, 1700, 2166, 2625, 3054, 3431, 3737, 3955, 4074, 4088,
3996, 3803, 3520, 3160, 2743, 2289, 1823, 1369, 950, 587,
301, 104, 9, 19, 134, 348, 650, 1024, 1452, 1910,
2375, 2824, 3232, 3579, 3846, 4021, 4093, 4060, 3922, 3688,
3368, 2980, 2544, 2083, 1619, 1178, 781, 451, 202, 50,
0, 56, 216, 470, 805, 1205, 1649, 2113, 2573, 3007,
3390, 3705, 3934, 4065, 4092, 4013, 3833, 3561, 3210, 2799,
2350, 1885, 1428, 1003, 633, 335, 126, 16, 11, 111,
311, 601, 965, 1386, 1840, 2306, 2757, 3173, 3530, 3810,
4000, 4089, 4072, 3951, 3732, 3426, 3049, 2620, 2161, 1697,
1251, 846, 503, 239, 69, 1, 39, 180, 417, 738,
1127, 1564, 2025, 2488, 2927, 3322, 3650, 3896, 4047, 4095,
4037, 3877, 3622, 3286, 2887, 2444, 1981, 1521, 1088, 705,
391, 162, 31, 3, 81, 259, 530, 879, 1289, 1737,
2201, 2658, 3082, 3454, 3753, 3965, 4077, 4086, 3989, 3792,
3506, 3145, 2727, 2274, 1809, 1357, 941, 581, 297, 102,
8, 19, 134, 348, 649, 1021, 1447, 1904, 2367, 2815,
3223, 3570, 3839, 4017, 4092, 4063, 3930, 3701, 3386, 3003,
2570, 2111, 1649, 1207, 808, 473, 218, 58, 0, 47,
197, 442, 769, 1162, 1601, 2062, 2523, 2959, 3348, 3671,
3910, 4054, 4094, 4030, 3864, 3604, 3265, 2863, 2419, 1957,
1499, 1069, 689, 379, 155, 28, 4, 85, 267, 540,
891, 1300, 1749, 2212, 2667, 3090, 3460, 3757, 3967, 4078,
4085, 3988, 3791, 3505, 3144, 2727, 2275, 1812, 1360, 944,
585, 300, 105, 9, 18, 131, 342, 640, 1010, 1434,
1889, 2352, 2799, 3208, 3558, 3830, 4011, 4091, 4067, 3939,
3715, 3405, 3026, 2596, 2139, 1677, 1234, 832, 493, 233,
66, 1, 40, 182, 419, 740, 1127, 1562, 2021, 2482,
2920, 3314, 3643, 3891, 4044, 4095, 4041, 3886, 3636, 3306,
2911, 2472, 2011, 1552, 1118, 732, 413, 178, 38, 1,
68, 237, 498, 838, 1240, 1683, 2145, 2602, 3030, 3408,
3717, 3941, 4067, 4091, 4010, 3830, 3558, 3209, 2801, 2354,
1892, 1437, 1014, 644, 345, 133, 19, 8, 102, 294,
576, 933, 1347, 1797, 2259, 2711, 3129, 3491, 3780, 3981,
4083, 4081, 3976, 3772, 3480, 3116, 2696, 2244, 1782, 1333,
921, 566, 287, 97, 7, 21, 138, 352, 653, 1024,
1448, 1903, 2364, 2810, 3216, 3564, 3834, 4013, 4091, 4066,
3938, 3714, 3405, 3027, 2599, 2143, 1682, 1240, 838, 499,
238, 69, 1, 37, 176, 409, 726, 1110, 1542, 2000,
2460, 2899, 3294, 3626, 3878, 4037, 4095, 4048, 3900, 3658,
3333, 2944, 2509, 2050, 1591, 1156, 765, 440, 197, 48,
0, 56, 214, 465, 796, 1190, 1629, 2088, 2546, 2978,
3362, 3681, 3916, 4056, 4094, 4028, 3862, 3604, 3266, 2867,
2426, 1966, 1510, 1081, 702, 391, 163, 32, 2, 77,
252, 517, 860, 1264, 1707, 2168, 2622, 3047, 3422, 3727,
3946, 4070, 4090, 4008, 3825, 3553, 3204, 2797, 2352, 1891,
1438, 1016, 647, 348, 136, 20, 7, 98, 287, 566,
919, 1330, 1777, 2238, 2689, 3108, 3473, 3765, 3971, 4079,
4085, 3987, 3791, 3506, 3148, 2734, 2286, 1825, 1376, 960,
600, 313, 114, 12, 14, 118, 321, 610, 972, 1389,
1839, 2300, 2747, 3160, 3516, 3797, 3991, 4086, 4078, 3967,
3759, 3465, 3099, 2680, 2228, 1768, 1322, 913, 561, 284,
96, 7, 21, 137, 350, 649, 1019, 1440, 1892, 2352,
2796, 3203, 3551, 3824, 4006, 4090, 4070, 3949, 3731, 3428,
3056, 2633, 2180, 1720, 1277, 873, 528, 260, 82, 4,
28, 154, 376, 683, 1058, 1483, 1936, 2395, 2837, 3239,
3580, 3845, 4018, 4092, 4064, 3933, 3707, 3398, 3020, 2594,
2140, 1681, 1241, 841, 503, 242, 72, 2, 35, 169,
398, 710, 1089, 1517, 1972, 2430, 2869, 3267, 3603, 3861,
4027, 4094, 4058, 3920, 3688, 3374, 2992, 2564, 2109, 1651,
1213, 817, 483, 228, 65, 1, 40, 180, 415, 731,
1114, 1543, 1998, 2456, 2893, 3287, 3619, 3872, 4033, 4095,
4053, 3910, 3674, 3356, 2972, 2542, 2087, 1630, 1193, 800,
470, 219, 60, 0, 44, 188, 426, 745, 1130, 1561,
2016, 2473, 2908, 3300, 3630, 3879, 4037, 4095, 4050, 3904,
3665, 3345, 2960, 2529, 2073, 1617, 1182, 791, 462, 214,
57, 0, 46, 193, 432, 753, 1139, 1570, 2025, 2481,
2916, 3307, 3634, 3883, 4039, 4095, 4048, 3902, 3662, 3341,
2955, 2524, 2069, 1613, 1179, 788, 460, 212, 56, 0,
47, 193, 433, 754, 1139, 1570, 2025, 2481, 2915, 3306,
3634, 3882, 4038, 4095, 4049, 3903, 3664, 3344, 2959, 2528,
2073, 1618, 1183, 792, 464, 215, 58, 0, 45, 190,
428, 748, 1132, 1562, 2016, 2472, 2907, 3298, 3627, 3877,
4036, 4095, 4051, 3908, 3671, 3353, 2970, 2541, 2087, 1631,
1196, 803, 473, 222, 61, 0, 42, 184, 418, 735,
1116, 1545, 1998, 2454, 2890, 3283, 3615, 3868, 4031, 4094,
4055, 3916, 3684, 3369, 2989, 2562, 2109, 1653, 1217, 822,
488, 233, 67, 1, 37, 173, 403, 715, 1093, 1519,
1972, 2428, 2865, 3261, 3597, 3855, 4024, 4093, 4061, 3928,
3701, 3392, 3016, 2592, 2140, 1684, 1246, 848, 509, 248,
76, 3, 31, 160, 383, 689, 1063, 1485, 1936, 2392,
2832, 3232, 3573, 3838, 4013, 4091, 4067, 3943, 3724, 3421,
3051, 2630, 2180, 1724, 1283, 881, 537, 268, 88, 5,
24, 144, 358, 657, 1024, 1443, 1892, 2348, 2790, 3194,
3542, 3815, 4000, 4088, 4075, 3960, 3751, 3457, 3092, 2676,
2229, 1772, 1329, 922, 571, 294, 103, 9, 17, 125,
329, 619, 979, 1393, 1839, 2295, 2739, 3149, 3504, 3787,
3983, 4083, 4082, 3980, 3781, 3497, 3141, 2730, 2286, 1830,
1384, 972, 613, 325, 123, 16, 10, 105, 297, 576,
927, 1334, 1777, 2233, 2680, 3095, 3459, 3752, 3961, 4075,
4088, 4000, 3815, 3543, 3196, 2793, 2352, 1896, 1448, 1030,
662, 363, 147, 26, 4, 84, 262, 528, 869, 1269,
1707, 2162, 2611, 3033, 3405, 3711, 3934, 4063, 4093, 4021,
3852, 3593, 3257, 2862, 2426, 1972, 1521, 1097, 719, 408,
177, 39, 1, 64, 225, 476, 805, 1196, 1628, 2082,
2534, 2961, 3344, 3662, 3900, 4047, 4095, 4041, 3889, 3646,
3324, 2938, 2509, 2057, 1604, 1173, 786, 460, 214, 58,
0, 44, 186, 421, 736, 1116, 1542, 1993, 2446, 2880,
3273, 3605, 3860, 4026, 4093, 4060, 3928, 3702, 3395, 3021,
2599, 2150, 1696, 1259, 861, 522, 258, 83, 4, 26,
148, 364, 663, 1030, 1448, 1895, 2349, 2789, 3192, 3539,
3812, 3998, 4087, 4076, 3965, 3760, 3470, 3109, 2697, 2252,
1798, 1355, 947, 593, 311, 114, 13, 12, 112, 306,
587, 940, 1347, 1789, 2243, 2688, 3101, 3463, 3754, 3962,
4075, 4088, 4001, 3817, 3547, 3202, 2801, 2363, 1909, 1462,
1043, 675, 373, 155, 29, 3, 77, 249, 509, 845,
1240, 1674, 2127, 2576, 2999, 3376, 3687, 3917, 4055, 4094,
4033, 3874, 3625, 3299, 2911, 2481, 2029, 1578, 1151, 767,
446, 204, 53, 0, 48, 193, 430, 747, 1127, 1553,
2002, 2455, 2887, 3277, 3608, 3862, 4026, 4094, 4060, 3928,
3704, 3398, 3026, 2606, 2158, 1705, 1269, 871, 531, 265,
87, 5, 23, 141, 352, 647, 1010, 1424, 1869, 2322,
2762, 3167, 3517, 3795, 3987, 4084, 4081, 3978, 3781, 3498,
3145, 2737, 2296, 1843, 1399, 988, 628, 338, 132, 20,
7, 94, 277, 547, 890, 1290, 1727, 2180, 2626, 3044,
3413, 3715, 3936, 4064, 4093, 4022, 3854, 3598, 3265, 2874,
2441, 1990, 1541, 1117, 739, 424, 190, 46, 0, 55,
207, 449, 769, 1152, 1579, 2028, 2479, 2908, 3296, 3622,
3871, 4031, 4094, 4057, 3921, 3694, 3387, 3013, 2593, 2146,
1694, 1259, 863, 525, 262, 85, 5, 24, 142, 354,
648, 1011, 1424, 1868, 2320, 2759, 3164, 3514, 3792, 3985,
4083, 4082, 3981, 3786, 3506, 3155, 2750, 2310, 1858, 1415,
1003, 641, 349, 139, 23, 5, 87, 265, 530, 869,
1265, 1700, 2151, 2598, 3017, 3389, 3696, 3923, 4057, 4094,
4031, 3871, 3622, 3297, 2910, 2482, 2032, 1583, 1157, 774,
453, 210, 57, 0, 44, 185, 417, 728, 1104, 1525,
1972, 2423, 2856, 3249, 3583, 3843, 4015, 4091, 4068, 3947,
3732, 3436, 3072, 2659, 2215, 1763, 1326, 923, 575, 299,
108, 11, 14, 115, 311, 591, 942, 1347, 1785, 2237,
2679, 3091, 3452, 3744, 3954, 4071, 4090, 4009, 3833, 3570,
3233, 2839, 2406, 1955, 1509, 1089, 716, 407, 179, 41,
0, 60, 215, 460, 782, 1166, 1592, 2040, 2489, 2917,
3302, 3626, 3873, 4032, 4094, 4057, 3922, 3697, 3391, 3020,
2601, 2156, 1706, 1272, 876, 536, 271, 91, 6, 21,
134, 339, 628, 985, 1394, 1835, 2286, 2726, 3132, 3486,
3770, 3971, 4078, 4087, 3996, 3812, 3541, 3199, 2800, 2365,
1915, 1471, 1055, 687, 385, 164, 34, 2, 68, 231,
482, 809, 1195, 1623, 2072, 2519, 2944, 3325, 3644, 3886,
4038, 4095, 4052, 3912, 3682, 3372, 2999, 2579, 2134, 1685,
1253, 859, 523, 261, 86, 5, 23, 139, 348, 639,
998, 1408, 1848, 2299, 2737, 3142, 3494, 3775, 3974, 4079,
4086, 3994, 3808, 3537, 3194, 2796, 2361, 1911, 1468, 1053,
686, 385, 164, 34, 1, 68, 230, 480, 806, 1191,
1618, 2066, 2513, 2937, 3319, 3639, 3882, 4036, 4095, 4054,
3917, 3689, 3382, 3011, 2593, 2149, 1699, 1267, 873, 535,
270, 91, 6, 20, 132, 336, 623, 979, 1386, 1825,
2275, 2713, 3120, 3475, 3761, 3964, 4075, 4088, 4003, 3823,
3558, 3220, 2825, 2393, 1944, 1501, 1083, 712, 406, 178,
41, 0, 58, 212, 455, 774, 1154, 1578, 2024, 2471,
2898, 3284, 3610, 3861, 4025, 4093, 4063, 3936, 3718, 3419,
3055, 2641, 2200, 1751, 1316, 917, 572, 298, 108, 12,
13, 113, 305, 582, 929, 1330, 1765, 2214, 2655, 3066,
3429, 3725, 3941, 4065, 4093, 4022, 3856, 3603, 3275, 2889,
2461, 2014, 1569, 1147, 768, 450, 209, 57, 0, 42,
180, 408, 714, 1085, 1502, 1945, 2393, 2824, 3218, 3556,
3821, 4002, 4088, 4076, 3967, 3766, 3482, 3129, 2725, 2287,
1839, 1400, 993, 636, 347, 139, 23, 5, 84, 258,
517, 850, 1240, 1669, 2116, 2560, 2979, 3354, 3666, 3900,
4045, 4095, 4046, 3902, 3669, 3357, 2984, 2565, 2121, 1674,
1245, 854, 521, 261, 86, 5, 22, 137, 342, 630,
985, 1392, 1829, 2278, 2715, 3120, 3474, 3759, 3962, 4074,
4089, 4006, 3829, 3567, 3232, 2841, 2411, 1964, 1521, 1103,
731, 421, 190, 47, 0, 51, 197, 432, 745, 1119,
1538, 1982, 2428, 2856, 3246, 3578, 3837, 4011, 4090, 4072,
3957, 3751, 3463, 3108, 2702, 2264, 1817, 1380, 976, 622,
337, 133, 21, 6, 88, 264, 525, 859, 1250, 1678,
2125, 2567, 2985, 3358, 3669, 3902, 4046, 4095, 4046, 3902,
3669, 3359, 2986, 2569, 2126, 1680, 1251, 861, 527, 265,
89, 6, 21, 132, 334, 619, 971, 1375, 1811, 2258,
2695, 3101, 3457, 3746, 3954, 4070, 4091, 4014, 3843, 3587,
3257, 2869, 2443, 1997, 1554, 1135, 759, 444, 206, 56,
0, 42, 180, 406, 711, 1079, 1494, 1935, 2381, 2811,
3205, 3544, 3811, 3995, 4086, 4079, 3976, 3782, 3504, 3158,
2758, 2325, 1878, 1440, 1030, 669, 374, 158, 32, 2,
69, 231, 478, 801, 1183, 1606, 2050, 2493, 2916, 3297,
3619, 3866, 4027, 4093, 4063, 3936, 3720, 3424, 3063, 2653,
2215, 1769, 1336, 937, 590, 313, 119, 16, 9, 99,
282, 549, 887, 1280, 1709, 2155, 2595, 3010, 3378, 3684,
3911, 4051, 4095, 4042, 3894, 3659, 3347, 2973, 2556, 2114,
1670, 1243, 854, 522, 263, 88, 6, 21, 132, 334,
617, 968, 1370, 1805, 2250, 2687, 3093, 3449, 3739, 3948,
4068, 4092, 4019, 3852, 3600, 3274, 2891, 2467, 2023, 1581,
1160, 782, 464, 221, 64, 1, 35, 165, 383, 681,
1043, 1453, 1891, 2336, 2768, 3165, 3510, 3785, 3978, 4080,
4085, 3994, 3811, 3545, 3207, 2815, 2386, 1942, 1502, 1088,
720, 414, 186, 46, 0, 51, 197, 430, 740, 1112,
1527, 1968, 2412, 2839, 3228, 3562, 3824, 4002, 4088, 4077,
3970, 3773, 3494, 3146, 2747, 2314, 1870, 1433, 1025, 666,
372, 158, 32, 2, 68, 228, 474, 794, 1173, 1593,
2035, 2478, 2900, 3282, 3606, 3856, 4021, 4092, 4067, 3947,
3737, 3448, 3092, 2687, 2252, 1807, 1374, 972, 621, 338,
135, 22, 5, 84, 256, 512, 841, 1226, 1651, 2093,
2534, 2952, 3327, 3642, 3882, 4035, 4094, 4057, 3926, 3706,
3407, 3045, 2636, 2199, 1754, 1324, 928, 584, 310, 117,
15, 9, 99, 281, 546, 881, 1272, 1699, 2142, 2581,
2995, 3364, 3671, 3902, 4045, 4095, 4048, 3907, 3679, 3373,
3006, 2593, 2155, 1711, 1284, 892, 555, 288, 104, 11,
14, 112, 302, 573, 914, 1308, 1737, 2181, 2618, 3029,
3393, 3694, 3918, 4053, 4095, 4040, 3892, 3657, 3346, 2975,
2559, 2120, 1678, 1253, 865, 532, 271, 94, 8, 17,
123, 318, 595, 940, 1337, 1767, 2210, 2646, 3054, 3414,
3710, 3929, 4059, 4094, 4034, 3880, 3640, 3326, 2952, 2535,
2095, 1654, 1230, 845, 517, 260, 87, 6, 21, 130,
330, 610, 958, 1356, 1787, 2230, 2665, 3071, 3428, 3721,
3936, 4062, 4094, 4029, 3872, 3630, 3313, 2937, 2520, 2080,
1639, 1217, 834, 507, 253, 83, 5, 22, 135, 336,
618, 967, 1367, 1798, 2241, 2675, 3079, 3435, 3727, 3939,
4063, 4093, 4027, 3869, 3625, 3308, 2931, 2514, 2074, 1633,
1212, 830, 504, 251, 82, 5, 23, 136, 338, 620,
969, 1368, 1799, 2242, 2675, 3079, 3435, 3726, 3939, 4063,
4093, 4028, 3870, 3627, 3310, 2934, 2517, 2078, 1637, 1216,
833, 508, 254, 83, 5, 22, 133, 334, 615, 962,
1361, 1791, 2233, 2667, 3071, 3428, 3721, 3935, 4061, 4094,
4031, 3875, 3634, 3319, 2945, 2529, 2091, 1650, 1229, 845,
517, 261, 88, 6, 20, 128, 325, 603, 948, 1344,
1773, 2215, 2649, 3055, 3414, 3709, 3927, 4058, 4094, 4036,
3884, 3648, 3336, 2965, 2551, 2114, 1673, 1250, 864, 533,
273, 95, 8, 16, 119, 311, 584, 926, 1319, 1746,
2188, 2622, 3030, 3393, 3692, 3916, 4052, 4095, 4043, 3898,
3667, 3361, 2993, 2582, 2146, 1705, 1280, 891, 556, 290,
106, 12, 12, 107, 293, 560, 896, 1285, 1710, 2151,
2586, 2997, 3364, 3669, 3899, 4043, 4095, 4051, 3915, 3691,
3392, 3029, 2622, 2187, 1747, 1320, 927, 586, 313, 120,
17, 8, 94, 270, 529, 858, 1243, 1664, 2104, 2541,
2955, 3327, 3639, 3878, 4032, 4094, 4061, 3934, 3720, 3429,
3074, 2670, 2239, 1798, 1369, 971, 623, 341, 139, 24,
4, 78, 244, 493, 814, 1192, 1610, 2048, 2486, 2904,
3282, 3603, 3852, 4017, 4091, 4071, 3957, 3754, 3473, 3125,
2728, 2299, 1858, 1427, 1024, 668, 377, 162, 35, 1,
62, 214, 451, 763, 1133, 1546, 1982, 2421, 2843, 3228,
3558, 3819, 3997, 4086, 4080, 3980, 3791, 3521, 3184, 2793,
2369, 1929, 1495, 1086, 722, 419, 191, 50, 0, 45,
183, 406, 706, 1067, 1474, 1907, 2347, 2772, 3165, 3506,
3779, 3972, 4077, 4088, 4005, 3831, 3575, 3249, 2867, 2447,
2009, 1573, 1158, 785, 470, 227, 69, 2, 29, 150,
358, 644, 994, 1393, 1823, 2262, 2692, 3092, 3444, 3731,
3941, 4064, 4093, 4029, 3873, 3632, 3319, 2948, 2534, 2099,
1661, 1240, 857, 529, 271, 95, 8, 16, 117, 307,
577, 915, 1305, 1729, 2168, 2601, 3009, 3373, 3675, 3903,
4045, 4095, 4051, 3915, 3693, 3395, 3035, 2630, 2198, 1759,
1333, 940, 599, 323, 128, 20, 6, 85, 255, 507,
831, 1210, 1627, 2064, 2500, 2915, 3291, 3609, 3855, 4019,
4091, 4070, 3956, 3754, 3474, 3128, 2733, 2306, 1867, 1437,
1034, 678, 385, 169, 38, 0, 56, 204, 436, 742,
1108, 1517, 1950, 2388, 2811, 3198, 3532, 3798, 3984, 4081,
4085, 3995, 3816, 3556, 3226, 2843, 2423, 1985, 1551, 1139,
769, 458, 220, 65, 2, 32, 154, 364, 650, 1001,
1399, 1828, 2266, 2694, 3093, 3444, 3731, 3940, 4063, 4094,
4030, 3876, 3638, 3328, 2958, 2547, 2113, 1676, 1256, 873,
543, 282, 102, 11, 13, 108, 292, 557, 890, 1275,
1696, 2133, 2567, 2976, 3343, 3650, 3885, 4035, 4094, 4060,
3933, 3721, 3431, 3079, 2679, 2251, 1813, 1386, 989, 640,
356, 150, 30, 2, 68, 224, 464, 776, 1146, 1557,
1991, 2427, 2846, 3229, 3557, 3817, 3995, 4085, 4082, 3985,
3800, 3536, 3203, 2817, 2396, 1960, 1527, 1118, 752, 445,
211, 60, 1, 35, 161, 373, 661, 1013, 1411, 1839,
2277, 2703, 3100, 3449, 3734, 3942, 4064, 4093, 4030, 3876,
3638, 3328, 2960, 2550, 2117, 1681, 1261, 878, 548, 286,
105, 12, 12, 104, 286, 547, 877, 1260, 1679, 2115,
2548, 2958, 3326, 3637, 3874, 4029, 4093, 4064, 3944, 3737,
3453, 3105, 2709, 2283, 1846, 1418, 1019, 667, 378, 164,
37, 1, 58, 205, 437, 741, 1106, 1513, 1944, 2380,
2801, 3187, 3522, 3790, 3978, 4079, 4087, 4003, 3829, 3575,
3251, 2872, 2456, 2022, 1588, 1176, 803, 487, 241, 78,
4, 23, 134, 332, 608, 949, 1340, 1764, 2200, 2629,
3032, 3390, 3687, 3910, 4048, 4095, 4049, 3913, 3691, 3395,
3038, 2636, 2208, 1771, 1348, 956, 614, 337, 137, 25,
3, 75, 236, 480, 794, 1165, 1577, 2009, 2444, 2860,
3240, 3565, 3822, 3998, 4086, 4081, 3984, 3799, 3535, 3204,
2820, 2401, 1966, 1535, 1127, 761, 453, 217, 64, 2,
31, 152, 359, 643, 990, 1385, 1810, 2245, 2672, 3070,
3422, 3712, 3927, 4056, 4095, 4040, 3896, 3668, 3367, 3005,
2601, 2171, 1736, 1315, 928, 590, 319, 126, 20, 6,
83, 250, 498, 816, 1190, 1603, 2035, 2469, 2883, 3259,
3581, 3833, 4004, 4088, 4078, 3977, 3789, 3523, 3189, 2804,
2385, 1950, 1520, 1114, 750, 445, 212, 61, 1, 33,
156, 365, 649, 997, 1392, 1816, 2251, 2677, 3074, 3425,
3714, 3928, 4057, 4095, 4040, 3896, 3668, 3368, 3007, 2603,
2175, 1740, 1320, 932, 595, 323, 129, 21, 5, 81,
245, 491, 807, 1179, 1590, 2022, 2455, 2869, 3247, 3570,
3825, 3999, 4086, 4081, 3984, 3800, 3537, 3207, 2824, 2407,
1974, 1543, 1136, 770, 461, 224, 68, 2, 28, 145,
348, 627, 970, 1361, 1784, 2218, 2645, 3044, 3399, 3693,
3913, 4049, 4095, 4049, 3913, 3692, 3398, 3043, 2644, 2217,
1783, 1361, 970, 627, 348, 145, 28, 2, 68, 223,
459, 767, 1133, 1540, 1969, 2402, 2819, 3202, 3532, 3796,
3981, 4080, 4087, 4002, 3830, 3577, 3256, 2881, 2468, 2036,
1605, 1194, 821, 503, 254, 86, 6, 18, 121, 310,
577, 910, 1294, 1712, 2145, 2574, 2979, 3342, 3647, 3880,
4031, 4094, 4064, 3944, 3739, 3458, 3113, 2721, 2299, 1866,
1440, 1042, 689, 397, 179, 45, 0, 47, 184, 404,
698, 1053, 1452, 1877, 2311, 2732, 3123, 3466, 3745, 3948,
4066, 4093, 4029, 3876, 3642, 3336, 2972, 2567, 2138, 1706,
1289, 906, 574, 308, 120, 18, 7, 87, 255, 503,
820, 1193, 1603, 2033, 2464, 2876, 3252, 3573, 3826, 4000,
4086, 4081, 3985, 3803, 3542, 3214, 2834, 2419, 1988, 1559,
1152, 785, 474, 234, 75, 4, 24, 135, 331, 604,
941, 1328, 1747, 2179, 2606, 3007, 3366, 3666, 3893, 4038,
4094, 4059, 3934, 3725, 3441, 3095, 2702, 2280, 1847, 1423,
1028, 678, 388, 173, 42, 0, 49, 188, 409, 704,
1058, 1457, 1882, 2314, 2734, 3124, 3466, 3744, 3947, 4065,
4093, 4030, 3879, 3646, 3341, 2980, 2576, 2149, 1718, 1301,
917, 584, 316, 125, 20, 5, 81, 245, 489, 802,
1171, 1579, 2008, 2438, 2851, 3228, 3553, 3811, 3990, 4082,
4085, 3996, 3821, 3567, 3245, 2870, 2458, 2028, 1599, 1190,
819, 503, 255, 88, 7, 17, 117, 304, 567, 897,
1278, 1693, 2123, 2551, 2955, 3320, 3628, 3866, 4023, 4092,
4070, 3959, 3762, 3489, 3153, 2767, 2349, 1918, 1492, 1092,
733, 434, 205, 59, 1, 34, 156, 362, 643, 986,
1377, 1797, 2228, 2652, 3048, 3400, 3692, 3911, 4047, 4095,
4052, 3919, 3704, 3415, 3066, 2671, 2249, 1818, 1397, 1005,
659, 375, 164, 38, 0, 54, 195, 419, 715, 1070,
1468, 1892, 2323, 2742, 3130, 3470, 3746, 3948, 4065, 4093,
4031, 3880, 3648, 3346, 2986, 2584, 2159, 1728, 1312, 929,
595, 325, 131, 23, 4, 75, 234, 473, 782, 1147,
1551, 1978, 2407, 2821, 3200, 3529, 3792, 3977, 4078, 4088,
4009, 3842, 3596, 3282, 2913, 2506, 2079, 1650, 1239, 863,
540, 284, 105, 13, 10, 97, 271, 523, 843, 1215,
1625, 2053, 2481, 2889, 3261, 3579, 3829, 4001, 4086, 4081,
3987, 3806, 3549, 3224, 2848, 2437, 2008, 1581, 1175, 807,
494, 250, 85, 6, 18, 119, 305, 568, 897, 1276,
1689, 2118, 2544, 2948, 3312, 3620, 3859, 4019, 4091, 4073,
3966, 3774, 3506, 3174, 2792, 2378, 1948, 1524, 1122, 761,
457, 223, 69, 3, 26, 139, 336, 608, 943, 1328,
1743, 2173, 2596, 2996, 3354, 3654, 3884, 4032, 4094, 4065,
3947, 3746, 3470, 3131, 2745, 2328, 1899, 1476, 1078, 723,
427, 201, 57, 1, 34, 156, 361, 641, 982, 1370,
1788, 2217, 2639, 3035, 3387, 3681, 3902, 4042, 4095, 4057,
3931, 3722, 3440, 3097, 2707, 2288, 1859, 1438, 1044, 694,
404, 185, 49, 0, 41, 171, 382, 667, 1013, 1403,
1823, 2252, 2672, 3064, 3412, 3700, 3916, 4049, 4095, 4051,
3919, 3704, 3417, 3070, 2678, 2259, 1830, 1411, 1019, 673,
387, 174, 43, 0, 47, 181, 398, 686, 1035, 1427,
1847, 2276, 2694, 3085, 3430, 3714, 3925, 4054, 4095, 4046,
3910, 3692, 3402, 3053, 2659, 2239, 1811, 1393, 1003, 660,
377, 167, 40, 0, 50, 188, 407, 698, 1048, 1441,
1862, 2290, 2708, 3096, 3439, 3721, 3930, 4056, 4095, 4044,
3905, 3686, 3394, 3044, 2650, 2230, 1802, 1385, 996, 654,
372, 164, 38, 0, 52, 190, 410, 702, 1052, 1446,
1866, 2294, 2711, 3099, 3441, 3723, 3931, 4057, 4095, 4043,
3905, 3685, 3394, 3044, 2651, 2231, 1803, 1386, 998, 655,
374, 165, 39, 0, 51, 189, 408, 698, 1047, 1440,
1860, 2288, 2705, 3093, 3436, 3718, 3928, 4055, 4095, 4045,
3909, 3691, 3402, 3053, 2661, 2242, 1814, 1397, 1008, 664,
381, 170, 42, 0, 48, 183, 399, 687, 1034, 1425,
1844, 2271, 2689, 3078, 3423, 3708, 3920, 4051, 4095, 4050,
3917, 3703, 3417, 3071, 2681, 2263, 1836, 1418, 1027, 681,
395, 180, 46, 0, 43, 173, 384, 668, 1012, 1401,
1818, 2245, 2663, 3055, 3403, 3691, 3909, 4045, 4095, 4055,
3929, 3720, 3439, 3097, 2710, 2294, 1867, 1448, 1056, 706,
414, 194, 54, 0, 36, 159, 364, 642, 981, 1367,
1781, 2208, 2628, 3022, 3374, 3668, 3892, 4036, 4094, 4063,
3944, 3743, 3469, 3132, 2749, 2335, 1909, 1489, 1093, 738,
441, 213, 64, 2, 28, 142, 339, 609, 942, 1323,
1735, 2161, 2582, 2980, 3337, 3638, 3871, 4024, 4092, 4071,
3962, 3771, 3505, 3175, 2797, 2387, 1961, 1540, 1140, 780,
474, 237, 78, 5, 20, 123, 309, 570, 895, 1270,
1679, 2104, 2526, 2928, 3291, 3601, 3843, 4008, 4088, 4079,
3983, 3803, 3547, 3226, 2854, 2447, 2023, 1601, 1197, 830,
516, 268, 97, 10, 12, 101, 275, 525, 841, 1209,
1613, 2037, 2460, 2866, 3236, 3555, 3809, 3987, 4081, 4087,
4005, 3838, 3594, 3284, 2920, 2518, 2096, 1672, 1264, 890,
566, 306, 121, 19, 5, 79, 238, 475, 780, 1140,
1538, 1959, 2384, 2794, 3171, 3501, 3767, 3960, 4070, 4092,
4027, 3876, 3646, 3348, 2993, 2598, 2179, 1754, 1342, 960,
625, 352, 151, 33, 1, 57, 199, 421, 713, 1062,
1454, 1871, 2296, 2710, 3096, 3437, 3717, 3926, 4054, 4095,
4048, 3915, 3702, 3417, 3074, 2686, 2271, 1846, 1430, 1041,
694, 406, 189, 52, 0, 37, 160, 364, 641, 978,
1361, 1774, 2199, 2616, 3010, 3362, 3657, 3884, 4031, 4093,
4067, 3955, 3760, 3492, 3161, 2783, 2373, 1949, 1530, 1132,
775, 471, 236, 78, 5, 20, 121, 306, 565, 888,
1261, 1667, 2090, 2511, 2912, 3276, 3587, 3832, 4001, 4085,
4082, 3992, 3819, 3569, 3254, 2887, 2484, 2063, 1641, 1236,
866, 547, 292, 113, 16, 7, 85, 247, 487, 793,
1153, 1552, 1972, 2395, 2803, 3178, 3506, 3770, 3961, 4070,
4092, 4027, 3877, 3648, 3351, 2998, 2604, 2187, 1763, 1352,
970, 635, 360, 158, 36, 0, 53, 190, 407, 695,
1040, 1428, 1843, 2267, 2681, 3068, 3411, 3696, 3911, 4046,
4095, 4056, 3932, 3727, 3451, 3114, 2731, 2320, 1897, 1480,
1087, 736, 441, 214, 66, 2, 26, 137, 329, 594,
922, 1297, 1705, 2128, 2547, 2944, 3303, 3609, 3848, 4010,
4088, 4079, 3983, 3805, 3551, 3234, 2865, 2462, 2041, 1620,
1218, 851, 535, 284, 108, 14, 8, 89, 253, 494,
801, 1161, 1559, 1978, 2400, 2807, 3181, 3507, 3771, 3961,
4070, 4092, 4028, 3878, 3651, 3355, 3004, 2612, 2195, 1773,
1362, 981, 644, 368, 163, 39, 0, 49, 182, 395,
679, 1020, 1406, 1819, 2241, 2656, 3044, 3390, 3679, 3898,
4038, 4094, 4063, 3945, 3747, 3477, 3146, 2768, 2359, 1937,
1520, 1125, 770, 469, 235, 78, 5, 19, 119, 301,
558, 878, 1247, 1651, 2071, 2491, 2891, 3256, 3569, 3818,
3991, 4082, 4086, 4004, 3838, 3596, 3289, 2929, 2531, 2113,
1692, 1286, 912, 587, 324, 134, 25, 2, 67, 215,
441, 735, 1085, 1476, 1891, 2313, 2723, 3105, 3442, 3719,
3926, 4053, 4095, 4050, 3920, 3710, 3430, 3092, 2709, 2298,
1876, 1462, 1072, 724, 432, 209, 63, 2, 27, 138,
330, 595, 922, 1296, 1702, 2122, 2540, 2936, 3295, 3601,
3841, 4005, 4087, 4081, 3990, 3816, 3568, 3255, 2890, 2491,
2072, 1652, 1249, 880, 561, 304, 121, 20, 5, 76,
230, 462, 760, 1113, 1506, 1921, 2342, 2750, 3129, 3462,
3735, 3936, 4058, 4095, 4045, 3910, 3697, 3414, 3073, 2689,
2278, 1857, 1444, 1056, 711, 422, 202, 59, 1, 30,
143, 337, 604, 931, 1305, 1711, 2131, 2548, 2943, 3301,
3605, 3844, 4007, 4087, 4081, 3989, 3815, 3567, 3254, 2890,
2491, 2073, 1654, 1252, 883, 564, 307, 123, 21, 4,
74, 226, 456, 753, 1104, 1495, 1910, 2330, 2738, 3117,
3451, 3726, 3930, 4055, 4095, 4049, 3918, 3708, 3429, 3091,
2709, 2300, 1879, 1466, 1078, 730, 438, 213, 66, 2,
25, 133, 321, 582, 905, 1276, 1679, 2098, 2515, 2912,
3273, 3582, 3826, 3996, 4083, 4085, 4001, 3835, 3594, 3287,
2929, 2533, 2117, 1698, 1293, 921, 596, 332, 140, 28,
2, 61, 204, 424, 713, 1058, 1444, 1856, 2276, 2686,
3069, 3410, 3693, 3907, 4043, 4095, 4060, 3942, 3744, 3474,
3145, 2769, 2363, 1944, 1529, 1136, 782, 480, 245, 85,
7, 15, 109, 284, 533, 845, 1208, 1606, 2023, 2441,
2842, 3210, 3529, 3786, 3970, 4073, 4091, 4024, 3874, 3647,
3353, 3004, 2615, 2202, 1783, 1375, 995, 659, 382, 174,
45, 0, 41, 165, 369, 643, 976, 1354, 1761, 2179,
2593, 2983, 3334, 3632, 3863, 4017, 4090, 4077, 3978, 3799,
3547, 3232, 2867, 2468, 2051, 1634, 1235, 869, 553, 300,
119, 19, 5, 75, 229, 458, 754, 1104, 1493, 1906,
2324, 2731, 3110, 3444, 3719, 3925, 4052, 4095, 4053, 3926,
3722, 3447, 3114, 2736, 2329, 1911, 1498, 1109, 758, 462,
231, 77, 5, 18, 117, 295, 547, 862, 1226, 1625,
2041, 2457, 2856, 3222, 3538, 3792, 3974, 4075, 4091, 4022,
3870, 3643, 3349, 3000, 2612, 2200, 1782, 1375, 996, 661,
384, 176, 46, 0, 39, 162, 364, 636, 966, 1342,
1747, 2165, 2578, 2968, 3321, 3620, 3853, 4012, 4088, 4080,
3986, 3812, 3565, 3254, 2893, 2496, 2081, 1665, 1264, 897,
577, 318, 132, 25, 2, 65, 210, 432, 721, 1065,
1450, 1860, 2278, 2686, 3068, 3407, 3689, 3903, 4040, 4094,
4063, 3948, 3754, 3489, 3164, 2792, 2390, 1973, 1560, 1166,
810, 505, 264, 97, 11, 10, 94, 259, 498, 802,
1157, 1550, 1963, 2379, 2782, 3154, 3481, 3747, 3944, 4061,
4095, 4043, 3909, 3697, 3417, 3080, 2700, 2293, 1876, 1466,
1080, 735, 443, 219, 70, 3, 22, 124, 306, 561,
877, 1241, 1640, 2055, 2469, 2867, 3230, 3544, 3796, 3976,
4075, 4091, 4021, 3870, 3644, 3351, 3004, 2617, 2207, 1790,
1384, 1006, 670, 392, 182, 50, 0, 36, 154, 351,
619, 945, 1317, 1720, 2136, 2548, 2940, 3294, 3597, 3836,
4001, 4085, 4084, 3999, 3834, 3594, 3291, 2936, 2544, 2131,
1716, 1314, 942, 616, 349, 153, 35, 0, 50, 183,
393, 671, 1006, 1384, 1789, 2206, 2615, 3002, 3348, 3641,
3868, 4020, 4090, 4076, 3978, 3800, 3550, 3238, 2876, 2480,
2067, 1652, 1254, 889, 571, 315, 130, 25, 2, 65,
209, 429, 716, 1058, 1441, 1849, 2265, 2672, 3053, 3393,
3677, 3894, 4035, 4093, 4068, 3959, 3771, 3512, 3192, 2826,
2427, 2013, 1600, 1205, 846, 535, 288, 113, 17, 6,
78, 232, 460, 754, 1102, 1488, 1897, 2313, 2717, 3094,
3428, 3705, 3914, 4045, 4095, 4060, 3942, 3746, 3480, 3155,
2785, 2384, 1969, 1558, 1167, 812, 508, 267, 100, 12,
9, 89, 251, 486, 785, 1136, 1525, 1935, 2350, 2752,
3126, 3455, 3726, 3928, 4053, 4095, 4053, 3929, 3727, 3456,
3127, 2754, 2352, 1937, 1527, 1138, 787, 487, 252, 90,
9, 12, 98, 264, 504, 807, 1161, 1551, 1962, 2376,
2777, 3148, 3473, 3740, 3938, 4058, 4095, 4048, 3919, 3713,
3439, 3108, 2733, 2330, 1916, 1507, 1120, 771, 475, 243,
85, 8, 14, 104, 273, 516, 821, 1176, 1567, 1978,
2392, 2791, 3160, 3484, 3748, 3943, 4060, 4095, 4045, 3914,
3706, 3431, 3098, 2723, 2320, 1905, 1497, 1111, 764, 469,
239, 82, 7, 15, 106, 277, 520, 826, 1182, 1573,
1984, 2397, 2796, 3164, 3487, 3750, 3944, 4061, 4095, 4045,
3913, 3705, 3430, 3098, 2722, 2320, 1906, 1498, 1112, 765,
470, 240, 83, 7, 15, 105, 275, 517, 822, 1177,
1568, 1978, 2391, 2790, 3158, 3482, 3746, 3941, 4059, 4095,
4047, 3917, 3711, 3437, 3106, 2732, 2330, 1917, 1509, 1123,
774, 478, 246, 87, 8, 13, 100, 268, 507, 810,
1163, 1552, 1961, 2374, 2774, 3144, 3469, 3736, 3934, 4056,
4095, 4051, 3925, 3723, 3452, 3124, 2752, 2352, 1939, 1530,
1143, 793, 493, 257, 94, 11, 10, 93, 255, 490,
789, 1139, 1526, 1934, 2347, 2747, 3119, 3448, 3719, 3923,
4049, 4095, 4057, 3937, 3741, 3475, 3151, 2783, 2384, 1972,
1563, 1173, 820, 516, 274, 105, 15, 7, 82, 238,
467, 760, 1105, 1489, 1896, 2309, 2711, 3086, 3419, 3696,
3906, 4041, 4094, 4065, 3953, 3764, 3505, 3187, 2823, 2427,
2016, 1606, 1214, 856, 546, 298, 120, 21, 4, 70,
216, 437, 723, 1063, 1442, 1847, 2259, 2663, 3042, 3381,
3665, 3884, 4028, 4092, 4073, 3972, 3792, 3542, 3231, 2873,
2480, 2071, 1660, 1265, 902, 585, 328, 140, 30, 1,
55, 191, 401, 678, 1011, 1386, 1787, 2199, 2605, 2988,
3334, 3627, 3856, 4011, 4088, 4081, 3992, 3825, 3585, 3283,
2932, 2544, 2136, 1725, 1327, 958, 633, 365, 166, 42,
0, 41, 163, 361, 627, 951, 1319, 1717, 2128, 2536,
2924, 3276, 3579, 3820, 3989, 4080, 4088, 4014, 3861, 3634,
3343, 2999, 2617, 2213, 1801, 1399, 1024, 690, 411, 198,
60, 2, 26, 133, 317, 570, 884, 1244, 1637, 2046,
2455, 2848, 3209, 3523, 3777, 3961, 4068, 4093, 4036, 3899,
3687, 3408, 3075, 2701, 2299, 1888, 1484, 1102, 758, 466,
238, 83, 7, 14, 103, 270, 508, 809, 1160, 1546,
1953, 2364, 2761, 3130, 3456, 3724, 3925, 4050, 4095, 4057,
3938, 3743, 3480, 3158, 2793, 2397, 1987, 1579, 1191, 837,
531, 287, 114, 18, 5, 73, 221, 443, 729, 1068,
1447, 1849, 2260, 2662, 3040, 3377, 3661, 3880, 4026, 4091,
4075, 3977, 3801, 3555, 3248, 2893, 2504, 2096, 1687, 1292,
928, 608, 347, 153, 36, 0, 46, 173, 375, 644,
969, 1338, 1736, 2145, 2551, 2937, 3287, 3587, 3825, 3992,
4081, 4088, 4013, 3859, 3633, 3342, 3000, 2620, 2216, 1806,
1406, 1031, 697, 417, 203, 63, 2, 24, 126, 306,
556, 865, 1222, 1612, 2019, 2428, 2821, 3183, 3500, 3758,
3948, 4062, 4095, 4045, 3916, 3712, 3441, 3114, 2744, 2347,
1937, 1532, 1148, 800, 501, 265, 100, 13, 8, 84,
239, 466, 757, 1099, 1480, 1883, 2292, 2692, 3066, 3399,
3678, 3892, 4032, 4093, 4071, 3969, 3790, 3541, 3232, 2876,
2487, 2080, 1672, 1279, 916, 599, 340, 150, 35, 0,
48, 175, 377, 647, 972, 1340, 1736, 2145, 2550, 2935,
3284, 3584, 3822, 3990, 4080, 4089, 4016, 3864, 3640, 3353,
3013, 2635, 2233, 1824, 1424, 1048, 713, 431, 213, 69,
4, 20, 117, 292, 536, 841, 1193, 1580, 1986, 2394,
2788, 3153, 3473, 3737, 3933, 4054, 4095, 4054, 3934, 3738,
3474, 3154, 2790, 2396, 1988, 1583, 1196, 843, 538, 293,
118, 21, 3, 68, 211, 427, 708, 1043, 1417, 1817,
2225, 2627, 3005, 3345, 3634, 3859, 4013, 4088, 4081, 3994,
3829, 3594, 3297, 2950, 2567, 2163, 1755, 1359, 990, 663,
391, 185, 53, 1, 30, 139, 324, 578, 890, 1248,
1638, 2044, 2451, 2841, 3200, 3512, 3767, 3953, 4064, 4094,
4043, 3913, 3709, 3438, 3112, 2744, 2349, 1941, 1538, 1154,
807, 508, 271, 105, 15, 6, 79, 229, 452, 738,
1076, 1452, 1853, 2261, 2660, 3035, 3371, 3654, 3874, 4021,
4090, 4078, 3985, 3815, 3576, 3275, 2926, 2542, 2139, 1731,
1337, 970, 647, 379, 177, 49, 0, 33, 146, 333,
589, 903, 1262, 1652, 2058, 2463, 2852, 3209, 3520, 3772,
3957, 4065, 4094, 4042, 3910, 3705, 3435, 3109, 2741, 2346,
1939, 1536, 1154, 807, 509, 272, 105, 15, 6, 77,
227, 448, 733, 1069, 1445, 1844, 2251, 2650, 3026, 3362,
3647, 3868, 4018, 4089, 4080, 3990, 3824, 3587, 3289, 2943,
2561, 2159, 1752, 1357, 989, 664, 392, 187, 55, 1,
28, 136, 318, 569, 879, 1234, 1622, 2026, 2431, 2822,
3181, 3496, 3753, 3944, 4059, 4095, 4050, 3926, 3728, 3464,
3144, 2780, 2388, 1982, 1579, 1194, 843, 540, 296, 121,
22, 3, 64, 204, 417, 694, 1024, 1394, 1791, 2197,
2598, 2976, 3318, 3611, 3841, 4001, 4084, 4086, 4008, 3853,
3627, 3339, 3000, 2623, 2223, 1817, 1420, 1047, 714, 434,
217, 72, 5, 18, 111, 280, 519, 818, 1166, 1548,
1950, 2355, 2749, 3115, 3439, 3708, 3912, 4042, 4094, 4066,
3958, 3775, 3524, 3215, 2860, 2473, 2070, 1665, 1276, 917,
602, 345, 154, 37, 0, 43, 165, 361, 623, 941,
1302, 1693, 2098, 2501, 2885, 3237, 3543, 3789, 3967, 4070,
4093, 4036, 3901, 3693, 3421, 3094, 2727, 2333, 1927, 1527,
1147, 802, 506, 271, 105, 16, 6, 76, 224, 443,
725, 1059, 1432, 1829, 2234, 2632, 3007, 3345, 3632, 3856,
4010, 4086, 4083, 4000, 3841, 3611, 3320, 2979, 2601, 2202,
1797, 1402, 1032, 702, 424, 210, 68, 4, 19, 114,
285, 525, 824, 1171, 1553, 1954, 2358, 2751, 3115, 3438,
3707, 3911, 4041, 4094, 4067, 3960, 3779, 3530, 3223, 2870,
2485, 2083, 1679, 1290, 931, 615, 355, 161, 41, 0,
39, 156, 347, 604, 918, 1276, 1664, 2067, 2470, 2856,
3210, 3519, 3770, 3954, 4064, 4094, 4045, 3918, 3718, 3453,
3132, 2770, 2379, 1975, 1574, 1192, 843, 541, 298, 123,
23, 2, 61, 198, 407, 680, 1006, 1372, 1765, 2170,
2569, 2948, 3292, 3587, 3822, 3988, 4079, 4090, 4021, 3876,
3659, 3380, 3048, 2678, 2283, 1879, 1481, 1106, 767, 478,
250, 93, 11, 9, 86, 240, 464, 749, 1086, 1459,
1856, 2260, 2656, 3028, 3361, 3644, 3865, 4015, 4088, 4082,
3996, 3835, 3604, 3313, 2973, 2596, 2198, 1795, 1401, 1032,
703, 426, 212, 70, 4, 18, 111, 279, 516, 813,
1157, 1536, 1935, 2338, 2730, 3096, 3420, 3692, 3899, 4035,
4093, 4072, 3972, 3797, 3555, 3254, 2906, 2525, 2125, 1722,
1332, 970, 649, 383, 182, 53, 1, 29, 135, 315,
563, 868, 1219, 1602, 2003, 2405, 2793, 3152, 3469, 3730,
3926, 4049, 4095, 4061, 3949, 3763, 3511, 3202, 2848, 2464,
2063, 1661, 1275, 918, 606, 349, 158, 40, 0, 39,
156, 347, 603, 915, 1271, 1658, 2059, 2460, 2844, 3198,
3508, 3760, 3947, 4060, 4095, 4051, 3929, 3734, 3474, 3159,
2801, 2414, 2013, 1612, 1229, 878, 571, 322, 140, 31,
1, 49, 175, 373, 636, 954, 1314, 1702, 2103, 2503,
2884, 3234, 3537, 3783, 3962, 4067, 4094, 4042, 3912, 3711,
3445, 3126, 2764, 2375, 1974, 1575, 1194, 847, 546, 303,
127, 25, 2, 57, 189, 393, 661, 983, 1345, 1735,
2136, 2534, 2914, 3260, 3559, 3800, 3973, 4072, 4093, 4035,
3900, 3694, 3424, 3102, 2738, 2348, 1947, 1549, 1171, 826,
528, 289, 118, 21, 3, 63, 199, 407, 678, 1002,
1366, 1756, 2158, 2555, 2932, 3276, 3572, 3810, 3979, 4075,
4092, 4030, 3892, 3684, 3412, 3087, 2723, 2332, 1931, 1534,
1157, 814, 519, 282, 114, 20, 3, 66, 205, 414,
686, 1011, 1376, 1766, 2167, 2564, 2941, 3283, 3578, 3814,
3982, 4076, 4091, 4029, 3890, 3680, 3408, 3083, 2718, 2328,
1927, 1531, 1154, 812, 517, 281, 113, 19, 3, 66,
205, 414, 686, 1011, 1375, 1765, 2166, 2562, 2938, 3281,
3576, 3812, 3981, 4075, 4092, 4030, 3892, 3684, 3412, 3088,
2725, 2335, 1935, 1538, 1162, 819, 523, 286, 116, 21,
3, 63, 200, 407, 677, 1000, 1363, 1752, 2152, 2548,
2926, 3269, 3566, 3804, 3975, 4073, 4093, 4034, 3899, 3694,
3425, 3104, 2742, 2354, 1954, 1557, 1180, 835, 537, 297,
124, 24, 2, 58, 190, 393, 660, 980, 1340, 1727,
2127, 2524, 2902, 3248, 3548, 3790, 3966, 4069, 4094, 4041,
3911, 3711, 3447, 3129, 2770, 2384, 1985, 1588, 1208, 861,
559, 314, 135, 29, 1, 50, 176, 373, 634, 949,
1306, 1692, 2091, 2488, 2868, 3217, 3522, 3770, 3952, 4062,
4095, 4049, 3928, 3734, 3477, 3164, 2809, 2425, 2027, 1629,
1248, 897, 590, 338, 152, 37, 0, 41, 158, 347,
601, 910, 1262, 1645, 2042, 2440, 2823, 3177, 3487, 3742,
3933, 4052, 4095, 4060, 3948, 3763, 3514, 3208, 2858, 2478,
2081, 1683, 1299, 943, 629, 369, 173, 49, 1, 30,
136, 315, 560, 862, 1208, 1587, 1983, 2381, 2767, 3125,
3443, 3707, 3908, 4039, 4093, 4070, 3970, 3797, 3558, 3261,
2918, 2541, 2147, 1748, 1361, 999, 678, 409, 202, 65,
3, 19, 113, 279, 513, 805, 1144, 1518, 1911, 2310,
2699, 3063, 3389, 3663, 3876, 4020, 4089, 4081, 3995, 3835,
3608, 3321, 2986, 2616, 2224, 1825, 1434, 1067, 738, 457,
238, 86, 10, 10, 88, 240, 460, 741, 1071, 1438,
1829, 2227, 2619, 2989, 3324, 3610, 3836, 3996, 4081, 4089,
4020, 3876, 3663, 3389, 3064, 2700, 2312, 1914, 1520, 1147,
808, 516, 282, 114, 20, 3, 63, 198, 403, 670,
990, 1349, 1735, 2133, 2527, 2903, 3247, 3546, 3787, 3963,
4067, 4094, 4044, 3918, 3722, 3462, 3149, 2794, 2411, 2014,
1619, 1239, 891, 586, 336, 151, 37, 0, 40, 156,
343, 594, 901, 1251, 1631, 2026, 2423, 2805, 3158, 3470,
3728, 3922, 4046, 4094, 4065, 3960, 3783, 3540, 3241, 2897,
2520, 2126, 1729, 1344, 986, 668, 401, 197, 62, 3,
20, 114, 281, 515, 806, 1144, 1516, 1908, 2306, 2693,
3056, 3382, 3657, 3871, 4016, 4088, 4082, 4000, 3845, 3621,
3338, 3007, 2640, 2250, 1853, 1463, 1095, 763, 479, 254,
97, 14, 6, 76, 220, 433, 706, 1030, 1392, 1779,
2176, 2568, 2941, 3279, 3572, 3807, 3976, 4073, 4093, 4036,
3905, 3703, 3440, 3124, 2768, 2384, 1988, 1594, 1218, 872,
571, 325, 144, 34, 0, 43, 161, 351, 603, 911,
1260, 1640, 2035, 2430, 2810, 3163, 3473, 3730, 3923, 4046,
4094, 4066, 3961, 3785, 3543, 3246, 2903, 2528, 2136, 1740,
1355, 997, 678, 410, 204, 67, 4, 18, 108, 271,
500, 787, 1122, 1491, 1881, 2278, 2666, 3030, 3358, 3636,
3855, 4007, 4085, 4086, 4011, 3863, 3646, 3370, 3044, 2681,
2294, 1898, 1507, 1137, 801, 511, 279, 114, 20, 3,
62, 195, 398, 662, 979, 1335, 1718, 2113, 2506, 2881,
3226, 3526, 3771, 3952, 4061, 4095, 4052, 3935, 3747, 3495,
3189, 2841, 2462, 2069, 1674, 1294, 942, 631, 373, 177,
52, 1, 27, 128, 300, 539, 833, 1173, 1545, 1936,
2332, 2716, 3076, 3397, 3668, 3879, 4021, 4089, 4081, 3997,
3841, 3617, 3335, 3005, 2639, 2251, 1856, 1467, 1101, 769,
486, 260, 102, 15, 5, 71, 211, 419, 687, 1007,
1365, 1749, 2144, 2535, 2908, 3249, 3545, 3786, 3961, 4065,
4094, 4047, 3925, 3734, 3479, 3171, 2822, 2443, 2050, 1656,
1278, 928, 619, 364, 172, 49, 1, 29, 132, 306,
545, 841, 1181, 1553, 1944, 2338, 2722, 3080, 3401, 3671,
3880, 4021, 4089, 4081, 3997, 3841, 3618, 3337, 3008, 2643,
2256, 1861, 1473, 1107, 775, 491, 265, 105, 17, 4,
68, 205, 411, 677, 994, 1351, 1733, 2127, 2518, 2891,
3233, 3532, 3775, 3953, 4062, 4095, 4052, 3935, 3748, 3498,
3194, 2847, 2471, 2079, 1686, 1306, 954, 642, 383, 185,
57, 2, 23, 119, 287, 520, 810, 1145, 1514, 1903,
2297, 2682, 3043, 3368, 3643, 3859, 4009, 4085, 4086, 4011,
3864, 3649, 3375, 3052, 2692, 2308, 1914, 1525, 1155, 819,
528, 293, 123, 25, 1, 53, 179, 375, 632, 941,
1291, 1670, 2062, 2454, 2830, 3178, 3484, 3737, 3927, 4048,
4094, 4065, 3962, 3787, 3549, 3254, 2916, 2545, 2155, 1762,
1379, 1021, 701, 431, 220, 77, 7, 12, 93, 245,
465, 742, 1068, 1430, 1815, 2208, 2596, 2963, 3297, 3584,
3814, 3980, 4074, 4093, 4036, 3907, 3708, 3448, 3137, 2785,
2407, 2015, 1624, 1249, 903, 599, 349, 162, 44, 0,
32, 138, 314, 554, 850, 1189, 1560, 1949, 2342, 2724,
3081, 3399, 3668, 3878, 4019, 4088, 4082, 4001, 3848, 3629,
3351, 3025, 2664, 2279, 1886, 1499, 1133, 800, 513, 282,
116, 22, 2, 58, 186, 383, 642, 952, 1302, 1680,
2072, 2462, 2837, 3183, 3488, 3739, 3928, 4048, 4094, 4066,
3962, 3789, 3551, 3258, 2921, 2551, 2163, 1771, 1389, 1031,
711, 439, 227, 82, 9, 10, 87, 236, 451, 725,
1047, 1407, 1789, 2182, 2569, 2937, 3272, 3563, 3798, 3968,
4068, 4094, 4045, 3922, 3731, 3478, 3172, 2825, 2449, 2059,
1669, 1292, 943, 635, 378, 183, 56, 2, 23, 118,
284, 515, 802, 1135, 1501, 1887, 2279, 2662, 3023, 3348,
3626, 3846, 3999, 4081, 4089, 4022, 3882, 3676, 3409, 3093,
2739, 2359, 1968, 1579, 1208, 868, 571, 328, 147, 37,
0, 38, 150, 331, 575, 872, 1213, 1584, 1973, 2364,
2743, 3097, 3412, 3678, 3884, 4023, 4089, 4081, 3999, 3845,
3625, 3348, 3023, 2663, 2280, 1888, 1503, 1137, 805, 518,
287, 120, 24, 2, 54, 179, 373, 628, 934, 1281,
1657, 2046, 2436, 2811, 3158, 3465, 3720, 3914, 4040, 4093,
4072, 3976, 3810, 3580, 3294, 2963, 2598, 2213, 1821, 1439,
1078, 753, 475, 254, 99, 15, 5, 70, 206, 410,
673, 987, 1339, 1717, 2107, 2495, 2867, 3208, 3508, 3754,
3938, 4053, 4095, 4062, 3956, 3781, 3542, 3249, 2912, 2544,
2158, 1767, 1387, 1031, 712, 441, 229, 84, 9, 9,
83, 229, 441, 711, 1030, 1386, 1766, 2156, 2542, 2910,
3247, 3540, 3779, 3955, 4062, 4095, 4054, 3940, 3757, 3512,
3213, 2873, 2502, 2115, 1725, 1347, 995, 681, 416, 211,
73, 6, 13, 95, 247, 465, 740, 1063, 1421, 1802,
2192, 2577, 2943, 3276, 3564, 3797, 3967, 4067, 4094, 4047,
3927, 3739, 3489, 3187, 2844, 2472, 2084, 1695, 1319, 970,
659, 399, 199, 65, 4, 17, 103, 260, 481, 760,
1085, 1445, 1827, 2216, 2600, 2964, 3294, 3579, 3809, 3975,
4071, 4094, 4042, 3919, 3727, 3475, 3171, 2826, 2454, 2066,
1678, 1303, 955, 647, 390, 192, 62, 3, 19, 108,
267, 490, 770, 1096, 1457, 1839, 2228, 2611, 2973, 3302,
3586, 3814, 3978, 4072, 4093, 4040, 3915, 3723, 3470, 3165,
2820, 2448, 2060, 1673, 1298, 951, 644, 387, 190, 61,
3, 19, 108, 268, 491, 771, 1097, 1457, 1839, 2228,
2610, 2972, 3301, 3585, 3813, 3977, 4072, 4093, 4041, 3917,
3725, 3473, 3170, 2826, 2454, 2067, 1679, 1305, 958, 650,
392, 194, 63, 4, 18, 105, 262, 484, 762, 1086,
1445, 1826, 2215, 2597, 2960, 3290, 3575, 3805, 3972, 4069,
4094, 4045, 3924, 3735, 3486, 3184, 2842, 2472, 2086, 1698,
1323, 975, 665, 404, 203, 68, 5, 15, 98, 251,
469, 744, 1065, 1422, 1802, 2190, 2573, 2937, 3269, 3557,
3791, 3962, 4065, 4095, 4051, 3935, 3752, 3507, 3209, 2870,
2502, 2117, 1729, 1353, 1002, 689, 424, 218, 77, 8,
11, 88, 235, 447, 716, 1034, 1387, 1765, 2152, 2536,
2902, 3238, 3531, 3770, 3948, 4058, 4095, 4059, 3951, 3774,
3536, 3244, 2909, 2544, 2160, 1773, 1395, 1041, 723, 452,
239, 90, 12, 7, 74, 213, 417, 680, 991, 1341,
1716, 2102, 2487, 2856, 3196, 3495, 3742, 3928, 4047, 4094,
4068, 3970, 3803, 3573, 3288, 2959, 2597, 2216, 1829, 1449,
1091, 767, 489, 267, 108, 19, 3, 59, 187, 381,
635, 940, 1284, 1655, 2040, 2426, 2798, 3143, 3449, 3705,
3902, 4032, 4091, 4078, 3992, 3836, 3616, 3341, 3019, 2662,
2284, 1897, 1515, 1153, 822, 535, 303, 132, 30, 0,
43, 158, 340, 583, 879, 1216, 1582, 1966, 2352, 2727,
3078, 3393, 3659, 3868, 4012, 4085, 4086, 4015, 3873, 3666,
3401, 3088, 2738, 2363, 1977, 1594, 1227, 889, 592, 347,
163, 46, 1, 28, 127, 295, 525, 809, 1138, 1499,
1879, 2266, 2644, 3002, 3325, 3603, 3825, 3984, 4075, 4093,
4038, 3912, 3720, 3469, 3166, 2824, 2455, 2071, 1686, 1314,
968, 660, 402, 203, 69, 5, 14, 96, 247, 461,
733, 1051, 1404, 1781, 2166, 2548, 2912, 3245, 3535, 3773,
3949, 4058, 4095, 4059, 3952, 3778, 3542, 3252, 2920, 2557,
2176, 1790, 1414, 1060, 741, 468, 252, 99, 16, 4,
65, 197, 394, 650, 956, 1300, 1671, 2055, 2438, 2808,
3151, 3455, 3709, 3904, 4033, 4092, 4078, 3992, 3837, 3619,
3345, 3025, 2670, 2293, 1908, 1528, 1166, 835, 547, 313,
140, 34, 0, 38, 148, 325, 563, 853, 1186, 1550,
1930, 2316, 2691, 3044, 3361, 3632, 3847, 3998, 4080, 4090,
4028, 3896, 3698, 3442, 3136, 2792, 2422, 2038, 1655, 1286,
943, 640, 387, 192, 63, 4, 17, 102, 256, 473,
746, 1065, 1419, 1795, 2179, 2559, 2921, 3253, 3541, 3777,
3951, 4059, 4095, 4059, 3952, 3777, 3542, 3254, 2923, 2561,
2181, 1797, 1421, 1067, 748, 475, 258, 103, 17, 3,
61, 190, 383, 636, 938, 1279, 1648, 2030, 2413, 2784,
3128, 3434, 3691, 3891, 4025, 4089, 4082, 4003, 3855, 3643,
3375, 3060, 2709, 2336, 1952, 1571, 1207, 873, 580, 339,
158, 44, 0, 29, 128, 295, 524, 807, 1133, 1491,
1869, 2253, 2630, 2986, 3310, 3589, 3813, 3976, 4070, 4094,
4045, 3926, 3741, 3497, 3201, 2865, 2500, 2119, 1736, 1364,
1015, 703, 439, 231, 86, 11, 7, 75, 213, 415,
674, 981, 1326, 1697, 2079, 2461, 2828, 3167, 3467, 3718,
3909, 4036, 4092, 4077, 3990, 3835, 3617, 3345, 3026, 2674,
2299, 1916, 1537, 1176, 846, 557, 322, 147, 38, 0,
34, 138, 310, 542, 828, 1156, 1515, 1893, 2276, 2651,
3006, 3326, 3602, 3823, 3982, 4073, 4093, 4042, 3920, 3733,
3487, 3190, 2854, 2489, 2108, 1726, 1355, 1008, 697, 434,
228, 85, 10, 8, 76, 214, 416, 675, 982, 1326,
1695, 2077, 2458, 2825, 3164, 3464, 3715, 3907, 4034, 4092,
4078, 3993, 3840, 3624, 3354, 3037, 2686, 2313, 1930, 1552,
1191, 859, 570, 332, 154, 42, 0, 30, 130, 298,
526, 808, 1133, 1490, 1866, 2249, 2624, 2980, 3303, 3582,
3807, 3971, 4068, 4094, 4049, 3934, 3753, 3513, 3221, 2889,
2527, 2148, 1766, 1394, 1044, 730, 461, 248, 98, 16,
4, 64, 193, 387, 638, 939, 1278, 1644, 2025, 2406,
2774, 3117, 3423, 3681, 3882, 4019, 4087, 4085, 4011, 3869,
3663, 3401, 3092, 2747, 2377, 1996, 1616, 1252, 915, 618,
371, 182, 57, 3, 19, 106, 261, 477, 749, 1065,
1416, 1789, 2170, 2548, 2908, 3238, 3527, 3764, 3941, 4053,
4095, 4065, 3966, 3800, 3573, 3292, 2969, 2614, 2238, 1857,
1482, 1126, 803, 523, 296, 129, 30, 0, 42, 153,
330, 567, 855, 1185, 1544, 1921, 2303, 2675, 3026, 3342,
3614, 3832, 3987, 4075, 4093, 4039, 3917, 3730, 3484, 3189,
2854, 2491, 2112, 1732, 1362, 1016, 706, 442, 235, 90,
12, 6, 70, 203, 400, 654, 956, 1296, 1662, 2041,
2421, 2788, 3129, 3432, 3688, 3886, 4021, 4088, 4084, 4009,
3867, 3661, 3400, 3092, 2747, 2379, 1999, 1620, 1257, 921,
623, 376, 186, 60, 3, 17, 101, 253, 467, 735,
1049, 1397, 1768, 2148, 2525, 2885, 3217, 3508, 3748, 3930,
4047, 4094, 4071, 3977, 3817, 3596, 3322, 3003, 2651, 2279,
1898, 1523, 1166, 839, 554, 321, 147, 39, 0, 32,
134, 301, 529, 810, 1133, 1487, 1861, 2242, 2615, 2970,
3292, 3571, 3798, 3964, 4064, 4095, 4055, 3945, 3771, 3537,
3251, 2924, 2567, 2192, 1811, 1439, 1088, 771, 497, 276,
117, 24, 1, 49, 165, 346, 586, 876, 1207, 1566,
1942, 2322, 2692, 3040, 3354, 3623, 3837, 3990, 4076, 4092,
4038, 3915, 3728, 3483, 3189, 2855, 2494, 2117, 1738, 1369,
1024, 714, 450, 241, 94, 14, 5, 65, 194, 386,
636, 934, 1270, 1633, 2010, 2389, 2756, 3098, 3405, 3664,
3868, 4010, 4084, 4088, 4022, 3888, 3691, 3438, 3136, 2798,
2433, 2055, 1677, 1312, 972, 669, 414, 214, 77, 8,
9, 80, 219, 420, 677, 981, 1322, 1687, 2065, 2443,
2806, 3144, 3444, 3696, 3892, 4024, 4089, 4083, 4008, 3865,
3661, 3400, 3094, 2752, 2385, 2007, 1630, 1268, 932, 635,
386, 194, 65, 5, 14, 93, 239, 447, 710, 1018,
1362, 1729, 2107, 2483, 2845, 3178, 3473, 3720, 3909, 4034,
4091, 4079, 3997, 3848, 3637, 3373, 3062, 2718, 2350, 1972,
1596, 1236, 904, 611, 367, 180, 57, 3, 18, 103,
254, 466, 733, 1044, 1390, 1758, 2136, 2511, 2870, 3201,
3493, 3735, 3920, 4040, 4093, 4075, 3989, 3836, 3622, 3354,
3042, 2696, 2327, 1949, 1575, 1216, 886, 596, 355, 172,
53, 2, 21, 109, 263, 478, 746, 1059, 1406, 1774,
2152, 2526, 2884, 3213, 3503, 3743, 3925, 4043, 4093, 4074,
3985, 3830, 3615, 3346, 3033, 2686, 2318, 1940, 1566, 1209,
880, 591, 351, 169, 51, 2, 21, 110, 265, 481,
749, 1062, 1409, 1777, 2155, 2528, 2886, 3215, 3504, 3743,
3925, 4043, 4093, 4074, 3985, 3831, 3616, 3348, 3035, 2689,
2321, 1944, 1570, 1213, 884, 594, 354, 172, 53, 2,
20, 108, 261, 475, 743, 1054, 1400, 1767, 2144, 2518,
2875, 3205, 3495, 3736, 3920, 4040, 4093, 4076, 3990, 3838,
3626, 3360, 3049, 2705, 2338, 1961, 1587, 1229, 899, 607,
365, 180, 57, 3, 18, 101, 251, 461, 726, 1035,
1378, 1744, 2121, 2494, 2853, 3185, 3477, 3722, 3909, 4034,
4091, 4079, 3998, 3852, 3644, 3381, 3074, 2732, 2367, 1991,
1617, 1258, 925, 630, 383, 193, 65, 5, 14, 91,
235, 440, 699, 1004, 1344, 1708, 2084, 2458, 2819, 3153,
3450, 3699, 3893, 4024, 4089, 4084, 4010, 3870, 3669, 3413,
3110, 2772, 2409, 2034, 1660, 1298, 962, 663, 410, 213,
77, 9, 9, 78, 213, 411, 663, 963, 1299, 1660,
2034, 2409, 2772, 3110, 3412, 3668, 3870, 4010, 4084, 4089,
4025, 3894, 3702, 3453, 3157, 2824, 2464, 2090, 1715, 1352,
1011, 706, 446, 239, 94, 15, 4, 62, 187, 375,
619, 911, 1241, 1599, 1972, 2347, 2712, 3055, 3364, 3628,
3839, 3990, 4076, 4093, 4041, 3922, 3740, 3502, 3214, 2887,
2531, 2160, 1784, 1418, 1073, 760, 491, 274, 117, 25,
1, 45, 158, 333, 566, 849, 1173, 1526, 1896, 2271,
2639, 2987, 3303, 3577, 3800, 3964, 4063, 4095, 4058, 3953,
3784, 3557, 3280, 2960, 2611, 2242, 1867, 1497, 1147, 826,
547, 318, 147, 40, 0, 29, 126, 287, 507, 779,
1094, 1440, 1807, 2182, 2553, 2906, 3231, 3516, 3751, 3930,
4045, 4094, 4073, 3985, 3832, 3619, 3354, 3044, 2701, 2337,
1962, 1591, 1235, 906, 615, 372, 186, 62, 4, 15,
94, 238, 443, 702, 1006, 1344, 1706, 2080, 2452, 2811,
3145, 3441, 3691, 3886, 4019, 4087, 4086, 4017, 3882, 3686,
3434, 3137, 2803, 2444, 2071, 1698, 1336, 999, 696, 439,
235, 92, 14, 4, 63, 188, 375, 618, 909, 1238,
1593, 1964, 2338, 2702, 3044, 3353, 3618, 3831, 3984, 4073,
4094, 4046, 3932, 3755, 3521, 3237, 2914, 2562, 2193, 1819,
1453, 1106, 791, 518, 296, 132, 33, 0, 36, 139,
305, 530, 805, 1122, 1469, 1836, 2210, 2578, 2929, 3250,
3532, 3763, 3938, 4049, 4094, 4071, 3980, 3825, 3610, 3344,
3034, 2692, 2328, 1954, 1584, 1229, 902, 613, 371, 185,
62, 4, 15, 93, 236, 439, 696, 998, 1335, 1696,
2068, 2440, 2798, 3132, 3429, 3681, 3878, 4014, 4085, 4088,
4023, 3893, 3701, 3454, 3161, 2830, 2474, 2103, 1730, 1368,
1029, 723, 462, 253, 104, 19, 2, 53, 170, 349,
585, 869, 1193, 1545, 1913, 2286, 2651, 2996, 3310, 3581,
3802, 3964, 4063, 4095, 4059, 3956, 3790, 3566, 3292, 2976,
2630, 2264, 1891, 1524, 1173, 852, 570, 338, 162, 48,
1, 22, 110, 262, 473, 737, 1044, 1384, 1746, 2118,
2488, 2843, 3172, 3463, 3708, 3898, 4026, 4089, 4084, 4012,
3874, 3677, 3425, 3128, 2795, 2437, 2066, 1695, 1335, 999,
698, 441, 238, 94, 15, 4, 59, 181, 364, 603,
890, 1215, 1568, 1936, 2308, 2672, 3015, 3325, 3594, 3811,
3970, 4066, 4095, 4056, 3951, 3783, 3557, 3282, 2966, 2620,
2254, 1882, 1515, 1166, 846, 566, 335, 160, 48, 1,
22, 110, 262, 473, 736, 1042, 1381, 1743, 2114, 2483,
2838, 3166, 3458, 3703, 3894, 4023, 4088, 4085, 4015, 3880,
3685, 3436, 3140, 2809, 2453, 2084, 1713, 1353, 1016, 714,
455, 248, 101, 18, 2, 54, 171, 349, 584, 867,
1189, 1539, 1906, 2277, 2641, 2985, 3299, 3571, 3793, 3958,
4059, 4095, 4063, 3965, 3804, 3585, 3315, 3004, 2661, 2298,
1927, 1560, 1208, 885, 600, 362, 180, 59, 4, 15,
94, 237, 439, 694, 994, 1328, 1686, 2056, 2425, 2782,
3115, 3413, 3666, 3866, 4006, 4082, 4090, 4032, 3909, 3724,
3485, 3198, 2874, 2522, 2155, 1784, 1422, 1081, 771, 503,
286, 127, 30, 0, 37, 140, 306, 528, 801, 1114,
1458, 1821, 2192, 2558, 2907, 3228, 3511, 3745, 3923, 4041,
4092, 4077, 3996, 3850, 3645, 3388, 3088, 2753, 2395, 2025,
1657, 1301, 969, 673, 422, 224, 86, 12, 5, 65,
189, 375, 615, 902, 1226, 1577, 1944, 2314, 2675, 3016,
3325, 3593, 3809, 3968, 4065, 4095, 4058, 3956, 3791, 3569,
3298, 2985, 2642, 2280, 1909, 1544, 1195, 874, 591, 356,
176, 57, 3, 16, 96, 239, 441, 696, 995, 1328,
1685, 2053, 2421, 2778, 3110, 3408, 3661, 3861, 4003, 4080,
4091, 4036, 3915, 3734, 3498, 3214, 2892, 2543, 2178, 1808,
1446, 1104, 793, 522, 301, 137, 36, 0, 31, 127,
287, 503, 770, 1078, 1418, 1779, 2148, 2514, 2865, 3189,
3476, 3716, 3902, 4028, 4089, 4084, 4012, 3876, 3681, 3433,
3139, 2810, 2456, 2089, 1721, 1363, 1027, 725, 466, 258,
108, 22, 1, 47, 158, 331, 559, 836, 1152, 1497,
1860, 2229, 2593, 2938, 3255, 3532, 3761, 3935, 4047, 4094,
4074, 3989, 3840, 3634, 3376, 3074, 2740, 2383, 2015, 1648,
1294, 964, 670, 421, 224, 86, 13, 5, 63, 186,
370, 608, 892, 1214, 1563, 1928, 2297, 2657, 2998, 3308,
3577, 3796, 3959, 4060, 4095, 4064, 3968, 3809, 3593, 3328,
3020, 2681, 2322, 1954, 1589, 1238, 914, 627, 386, 198,
71, 7, 10, 78, 211, 403, 648, 938, 1265, 1616,
1982, 2350, 2708, 3044, 3349, 3611, 3822, 3977, 4068, 4095,
4055, 3950, 3783, 3561, 3289, 2978, 2636, 2275, 1907, 1543,
1196, 876, 595, 360, 179, 60, 4, 14, 90, 230,
428, 678, 973, 1302, 1656, 2022, 2389, 2745, 3078, 3378,
3635, 3841, 3989, 4074, 4094, 4047, 3936, 3764, 3537, 3262,
2947, 2603, 2242, 1874, 1512, 1167, 851, 573, 342, 167,
53, 2, 18, 99, 243, 445, 699, 997, 1328, 1682,
2048, 2414, 2769, 3100, 3397, 3650, 3852, 3996, 4077, 4093,
4042, 3928, 3753, 3523, 3245, 2929, 2584, 2222, 1855, 1494,
1150, 836, 561, 333, 161, 49, 2, 20, 104, 250,
454, 710, 1008, 1340, 1695, 2061, 2426, 2780, 3109, 3405,
3657, 3857, 3999, 4078, 4092, 4040, 3925, 3748, 3517, 3239,
2923, 2578, 2217, 1850, 1489, 1146, 833, 558, 331, 159,
48, 2, 20, 104, 251, 455, 710, 1008, 1340, 1694,
2059, 2424, 2777, 3107, 3403, 3655, 3855, 3998, 4078, 4093,
4042, 3927, 3752, 3522, 3245, 2930, 2586, 2225, 1858, 1498,
1155, 841, 565, 337, 164, 51, 2, 19, 100, 245,
446, 700, 996, 1326, 1679, 2044, 2409, 2762, 3093, 3390,
3644, 3847, 3992, 4075, 4093, 4046, 3935, 3763, 3536, 3262,
2949, 2607, 2247, 1881, 1520, 1176, 860, 582, 350, 174,
57, 3, 15, 92, 232, 430, 679, 972, 1299, 1651,
2015, 2380, 2734, 3067, 3367, 3624, 3832, 3982, 4071, 4094,
4053, 3947, 3781, 3560, 3290, 2980, 2641, 2283, 1917, 1555,
1210, 890, 608, 372, 189, 66, 6, 11, 81, 214,
405, 648, 937, 1260, 1609, 1972, 2337, 2693, 3028, 3332,
3595, 3809, 3966, 4063, 4095, 4062, 3965, 3806, 3592, 3328,
3024, 2688, 2332, 1967, 1605, 1256, 933, 646, 403, 212,
80, 11, 6, 66, 190, 373, 608, 890, 1209, 1554,
1915, 2280, 2638, 2977, 3286, 3556, 3778, 3945, 4051, 4094,
4072, 3985, 3837, 3632, 3376, 3078, 2748, 2395, 2031, 1668,
1317, 989, 694, 443, 243, 100, 19, 2, 50, 162,
334, 560, 833, 1145, 1486, 1844, 2209, 2569, 2912, 3228,
3506, 3738, 3916, 4035, 4091, 4082, 4008, 3872, 3679, 3433,
3144, 2820, 2471, 2109, 1745, 1391, 1057, 755, 494, 282,
126, 31, 0, 34, 132, 290, 504, 767, 1071, 1405,
1760, 2124, 2486, 2833, 3156, 3444, 3687, 3879, 4012, 4083,
4090, 4032, 3911, 3731, 3498, 3219, 2903, 2560, 2201, 1836,
1479, 1139, 829, 556, 331, 161, 50, 2, 19, 100,
242, 442, 693, 986, 1313, 1663, 2025, 2388, 2740, 3071,
3369, 3625, 3831, 3981, 4070, 4095, 4055, 3952, 3788, 3570,
3303, 2997, 2661, 2306, 1942, 1582, 1236, 916, 632, 393,
205, 76, 9, 7, 69, 193, 376, 611, 892, 1210,
1553, 1913, 2276, 2633, 2970, 3279, 3549, 3772, 3940, 4048,
4094, 4075, 3992, 3847, 3646, 3395, 3101, 2774, 2424, 2062,
1700, 1349, 1019, 722, 467, 262, 113, 25, 0, 41,
144, 307, 525, 791, 1096, 1432, 1787, 2150, 2509, 2855,
3174, 3459, 3699, 3887, 4017, 4085, 4089, 4029, 3906, 3725,
3491, 3212, 2897, 2554, 2196, 1833, 1476, 1138, 828, 557,
333, 162, 51, 2, 18, 97, 238, 436, 684, 975,
1300, 1648, 2009, 2371, 2722, 3053, 3352, 3610, 3819, 3972,
4065, 4095, 4060, 3962, 3804, 3591, 3330, 3028, 2695, 2343,
1980, 1620, 1274, 952, 664, 419, 226, 89, 15, 3,
56, 172, 346, 574, 847, 1159, 1498, 1854, 2217, 2574,
2914, 3228, 3504, 3735, 3913, 4033, 4090, 4083, 4013, 3881,
3692, 3451, 3166, 2846, 2501, 2142, 1780, 1427, 1093, 788,
524, 306, 144, 41, 1, 24, 111, 259, 463, 716,
1011, 1338, 1687, 2048, 2408, 2758, 3085, 3380, 3633, 3836,
3984, 4071, 4094, 4054, 3951, 3789, 3572, 3308, 3004, 2670,
2317, 1956, 1597, 1253, 933, 648, 407, 217, 84, 12,
5, 60, 178, 354, 583, 858, 1170, 1509, 1865, 2227,
2583, 2922, 3234, 3509, 3739, 3915, 4034, 4090, 4083, 4012,
3880, 3691, 3451, 3167, 2848, 2504, 2146, 1785, 1432, 1098,
794, 529, 311, 147, 43, 1, 23, 107, 253, 454,
705, 997, 1322, 1670, 2030, 2390, 2739, 3067, 3363, 3619,
3825, 3976, 4067, 4095, 4059, 3961, 3803, 3591, 3331, 3031,
2700, 2349, 1988, 1630, 1284, 962, 674, 429, 234, 95,
17, 2, 51, 162, 331, 554, 823, 1130, 1466, 1819,
2180, 2537, 2878, 3194, 3474, 3709, 3894, 4020, 4086, 4088,
4027, 3904, 3724, 3492, 3215, 2902, 2562, 2206, 1846, 1491,
1154, 845, 573, 346, 173, 58, 4, 14, 86, 220,
410, 651, 935, 1254, 1598, 1955, 2315, 2667, 2999, 3302,
3567, 3784, 3947, 4052, 4094, 4073, 3989, 3845, 3646, 3397,
3106, 2782, 2436, 2078, 1718, 1369, 1041, 744, 488, 279,
126, 32, 0, 32, 126, 279, 487, 744, 1040, 1368,
1717, 2076, 2434, 2780, 3104, 3395, 3644, 3844, 3988, 4073,
4094, 4053, 3949, 3787, 3571, 3308, 3006, 2674, 2323, 1964,
1607, 1264, 945, 660, 418, 226, 90, 15, 3, 54,
166, 336, 560, 829, 1136, 1470, 1823, 2183, 2538, 2878,
3193, 3472, 3707, 3892, 4019, 4085, 4089, 4029, 3909, 3731,
3501, 3227, 2916, 2578, 2224, 1865, 1511, 1174, 863, 589,
361, 184, 64, 6, 10, 78, 205, 390, 626, 905,
1220, 1560, 1915, 2274, 2626, 2961, 3267, 3536, 3758, 3929,
4041, 4092, 4080, 4006, 3871, 3680, 3439, 3155, 2837, 2495,
2139, 1781, 1430, 1099, 796, 532, 315, 151, 45, 1,
20, 101, 242, 438, 684, 972, 1292, 1636, 1993, 2351,
2700, 3029, 3327, 3587, 3799, 3957, 4057, 4095, 4070, 3983,
3837, 3635, 3385, 3094, 2771, 2426, 2069, 1711, 1364, 1038,
743, 487, 280, 127, 32, 0, 30, 123, 274, 479,
733, 1027, 1352, 1699, 2056, 2413, 2758, 3082, 3375, 3626,
3829, 3978, 4067, 4095, 4060, 3963, 3808, 3598, 3341, 3045,
2718, 2371, 2013, 1657, 1313, 991, 701, 453, 254, 109,
24, 1, 40, 141, 300, 512, 772, 1070, 1399, 1747,
2104, 2460, 2803, 3123, 3410, 3655, 3851, 3993, 4074, 4094,
4051, 3947, 3785, 3570, 3308, 3008, 2678, 2330, 1972, 1617,
1275, 957, 672, 429, 235, 97, 18, 2, 47, 154,
319, 536, 799, 1101, 1431, 1781, 2138, 2492, 2833, 3150,
3434, 3675, 3866, 4002, 4078, 4093, 4045, 3936, 3769, 3551,
3286, 2983, 2652, 2303, 1946, 1592, 1252, 936, 654, 414,
224, 90, 15, 3, 52, 163, 330, 550, 816, 1119,
1450, 1800, 2157, 2511, 2850, 3165, 3446, 3685, 3874, 4007,
4080, 4092, 4041, 3930, 3762, 3541, 3275, 2972, 2640, 2291,
1934, 1581, 1242, 927, 646, 408, 220, 87, 14, 3,
54, 165, 334, 555, 821, 1124, 1455, 1805, 2161, 2514,
2853, 3168, 3448, 3686, 3874, 4007, 4080, 4092, 4041, 3930,
3762, 3542, 3276, 2973, 2643, 2294, 1937, 1584, 1245, 930,
650, 411, 223, 89, 15, 3, 52, 163, 330, 549,
814, 1116, 1446, 1795, 2151, 2504, 2843, 3158, 3440, 3679,
3869, 4003, 4079, 4093, 4045, 3936, 3770, 3552, 3289, 2988,
2659, 2311, 1955, 1602, 1262, 946, 664, 423, 232, 95,
18, 2, 48, 154, 318, 534, 795, 1095, 1423, 1770,
2126, 2479, 2819, 3136, 3420, 3662, 3856, 3995, 4075, 4094,
4051, 3947, 3786, 3573, 3313, 3016, 2689, 2342, 1987, 1634,
1293, 975, 689, 444, 248, 106, 23, 1, 40, 140,
298, 508, 765, 1061, 1386, 1732, 2086, 2440, 2782, 3101,
3389, 3636, 3836, 3981, 4069, 4095, 4059, 3963, 3809, 3602,
3349, 3056, 2732, 2388, 2034, 1680, 1337, 1016, 726, 475,
272, 123, 31, 0, 31, 122, 272, 474, 725, 1015,
1336, 1678, 2032, 2386, 2730, 3053, 3346, 3600, 3808, 3962,
4059, 4095, 4069, 3983, 3839, 3641, 3394, 3108, 2789, 2448,
2096, 1741, 1396, 1071, 775, 517, 305, 146, 43, 1,
20, 101, 239, 432, 674, 957, 1272, 1611, 1963, 2317,
2664, 2992, 3291, 3553, 3770, 3935, 4044, 4092, 4080, 4006,
3873, 3686, 3450, 3171, 2859, 2523, 2172, 1817, 1470, 1140,
837, 570, 348, 176, 61, 5, 11, 77, 203, 384,
614, 888, 1196, 1530, 1880, 2234, 2583, 2915, 3222, 3494,
3722, 3900, 4023, 4086, 4088, 4030, 3912, 3738, 3514, 3245,
2941, 2610, 2263, 1908, 1559, 1223, 913, 636, 401, 216,
86, 14, 3, 53, 163, 329, 547, 809, 1109, 1436,
1782, 2135, 2486, 2824, 3139, 3421, 3662, 3855, 3993, 4074,
4094, 4053, 3952, 3794, 3584, 3328, 3034, 2711, 2367, 2014,
1663, 1322, 1003, 716, 468, 267, 120, 30, 0, 31,
123, 272, 473, 722, 1010, 1330, 1670, 2022, 2375, 2717,
3040, 3333, 3588, 3797, 3954, 4054, 4094, 4073, 3992, 3853,
3660, 3419, 3137, 2823, 2486, 2135, 1782, 1437, 1110, 811,
549, 331, 165, 55, 4, 13, 84, 212, 396, 628,
903, 1212, 1545, 1894, 2247, 2594, 2925, 3230, 3500, 3726,
3903, 4024, 4086, 4088, 4030, 3912, 3739, 3515, 3248, 2946,
2616, 2270, 1917, 1568, 1234, 923, 646, 410, 224, 91,
16, 2, 49, 155, 317, 530, 788, 1084, 1409, 1752,
2104, 2455, 2793, 3109, 3394, 3639, 3836, 3981, 4068, 4095,
4061, 3968, 3818, 3615, 3366, 3077, 2759, 2419, 2068, 1716,
1375, 1053, 761, 507, 298, 142, 42, 1, 21, 101,
239, 430, 669, 949, 1262, 1597, 1947, 2299, 2643, 2970,
3270, 3533, 3753, 3922, 4035, 4090, 4084, 4018, 3894, 3715,
3487, 3216, 2910, 2579, 2233, 1881, 1533, 1201, 895, 622,
391, 209, 82, 13, 4, 55, 165, 331, 548, 809,
1106, 1431, 1775, 2126, 2475, 2812, 3126, 3408, 3650, 3844,
3986, 4070, 4095, 4059, 3964, 3812, 3608, 3358, 3069, 2750,
2411, 2061, 1710, 1369, 1049, 758, 505, 297, 141, 41,
1, 21, 100, 237, 428, 666, 945, 1256, 1591, 1939,
2290, 2634, 2961, 3261, 3525, 3746, 3916, 4032, 4089, 4086,
4023, 3901, 3726, 3500, 3232, 2929, 2600, 2255, 1904, 1557,
1224, 916, 641, 407, 222, 90, 16, 2, 48, 153,
313, 525, 781, 1074, 1396, 1738, 2088, 2437, 2775, 3091,
3377, 3623, 3823, 3971, 4063, 4095, 4067, 3980, 3836, 3639,
3396, 3113, 2799, 2462, 2114, 1763, 1421, 1098, 802, 543,
328, 163, 54, 4, 13, 82, 209, 389, 619, 890,
1195, 1525, 1871, 2222, 2567, 2897, 3203, 3474, 3704, 3885,
4012, 4082, 4092, 4042, 3933, 3769, 3555, 3297, 3002, 2679,
2338, 1988, 1639, 1303, 989, 706, 462, 264, 119, 30,
0, 30, 119, 265, 463, 707, 991, 1305, 1641, 1989,
2339, 2680, 3003, 3297, 3556, 3769, 3933, 4041, 4092, 4082,
4013, 3886, 3706, 3477, 3206, 2901, 2572, 2227, 1877, 1532,
1202, 897, 625, 395, 213, 85, 14, 3, 51, 158,
320, 532, 788, 1082, 1403, 1743, 2092, 2440, 2777, 3092,
3376, 3622, 3822, 3970, 4062, 4095, 4068, 3983, 3841, 3646,
3405, 3125, 2813, 2479, 2132, 1782, 1441, 1117, 820, 559,
342, 174, 61, 6, 10, 73, 194, 370, 594, 860,
1161, 1488, 1831, 2180, 2526, 2857, 3165, 3441, 3675, 3863,
3997, 4075, 4094, 4053, 3954, 3799, 3594, 3343, 3055, 2737,
2400, 2052, 1704, 1366, 1047, 758, 507, 300, 144, 44,
1, 19, 95, 228, 414, 647, 921, 1228, 1558, 1903,
2252, 2595, 2922, 3224, 3491, 3717, 3894, 4017, 4084, 4091,
4038, 3928, 3764, 3549, 3291, 2997, 2675, 2335, 1987, 1640,
1306, 993, 710, 466, 269, 122, 32, 0, 28, 114,
256, 450, 690, 970, 1281, 1614, 1960, 2308, 2649, 2972,
3269, 3530, 3748, 3917, 4031, 4089, 4087, 4026, 3907, 3735,
3514, 3250, 2952, 2627, 2286, 1938, 1593, 1261, 952, 675,
437, 246, 107, 24, 0, 35, 129, 278, 478, 723,
1007, 1321, 1655, 2002, 2349, 2688, 3008, 3301, 3557, 3769,
3932, 4040, 4091, 4083, 4016, 3892, 3714, 3489, 3222, 2921,
2594, 2252, 1904, 1560, 1231, 925, 651, 418, 231, 97,
20, 1, 41, 139, 292, 496, 744, 1030, 1346, 1682,
2028, 2375, 2712, 3030, 3320, 3573, 3782, 3941, 4046, 4092,
4080, 4010, 3882, 3702, 3474, 3205, 2903, 2576, 2234, 1886,
1543, 1215, 911, 639, 408, 224, 93, 18, 1, 44,
144, 299, 504, 754, 1041, 1357, 1692, 2038, 2385, 2721,
3038, 3327, 3579, 3786, 3944, 4047, 4093, 4080, 4008, 3880,
3699, 3471, 3202, 2899, 2573, 2231, 1884, 1541, 1213, 909,
638, 408, 224, 93, 18, 1, 44, 143, 298, 502,
751, 1038, 1353, 1688, 2033, 2379, 2716, 3033, 3322, 3574,
3782, 3941, 4045, 4092, 4081, 4011, 3884, 3705, 3479, 3211,
2910, 2584, 2243, 1896, 1554, 1226, 921, 649, 417, 231,
98, 20, 1, 40, 137, 288, 490, 737, 1021, 1334,
1668, 2013, 2359, 2696, 3014, 3304, 3559, 3770, 3932, 4040,
4091, 4083, 4018, 3895, 3720, 3497, 3233, 2934, 2611, 2271,
1925, 1582, 1253, 946, 671, 435, 246, 108, 25, 0,
34, 125, 272, 469, 711, 991, 1302, 1634, 1977, 2323,
2661, 2981, 3274, 3533, 3749, 3917, 4031, 4088, 4087, 4028,
3913, 3744, 3526, 3267, 2973, 2652, 2314, 1968, 1625, 1294,
984, 705, 464, 268, 123, 33, 0, 26, 109, 248,
438, 674, 949, 1255, 1584, 1926, 2271, 2611, 2934, 3232,
3496, 3719, 3894, 4016, 4083, 4091, 4042, 3935, 3775, 3565,
3313, 3024, 2708, 2372, 2028, 1684, 1350, 1037, 752, 504,
299, 145, 45, 2, 17, 89, 218, 398, 626, 894,
1194, 1519, 1859, 2204, 2545, 2872, 3175, 3446, 3677, 3862,
3996, 4074, 4094, 4057, 3962, 3813, 3613, 3369, 3088, 2777,
2446, 2103, 1758, 1422, 1103, 812, 555, 341, 175, 63,
6, 8, 68, 184, 352, 569, 828, 1121, 1441, 1777,
2122, 2464, 2795, 3104, 3383, 3625, 3821, 3968, 4060, 4095,
4072, 3991, 3855, 3669, 3436, 3164, 2860, 2533, 2193, 1848,
1509, 1186, 886, 620, 394, 215, 88, 16, 2, 46,
146, 300, 504, 751, 1035, 1348, 1681, 2024, 2367, 2701,
3017, 3306, 3559, 3769, 3930, 4039, 4090, 4084, 4021, 3902,
3730, 3511, 3250, 2955, 2635, 2298, 1954, 1613, 1284, 976,
699, 460, 266, 122, 33, 0, 25, 108, 245, 433,
667, 939, 1243, 1570, 1910, 2254, 2592, 2915, 3213, 3478,
3703, 3881, 4008, 4079, 4093, 4049, 3949, 3795, 3592, 3345,
3062, 2750, 2418, 2076, 1733, 1399, 1083, 795, 541, 331,
168, 59, 5, 9, 71, 188, 358, 575, 834, 1127,
1445, 1781, 2124, 2465, 2795, 3103, 3381, 3622, 3819, 3966,
4058, 4095, 4073, 3995, 3861, 3677, 3447, 3177, 2876, 2552,
2213, 1870, 1531, 1207, 907, 639, 411, 228, 97, 20,
1, 39, 133, 281, 479, 721, 1000, 1309, 1638, 1979,
2322, 2657, 2975, 3267, 3524, 3740, 3909, 4025, 4086, 4089,
4036, 3926, 3764, 3553, 3301, 3013, 2698, 2365, 2023, 1681,
1350, 1039, 755, 508, 305, 150, 48, 3, 14, 83,
207, 382, 604, 867, 1162, 1483, 1819, 2162, 2501, 2828,
3132, 3407, 3643, 3835, 3976, 4064, 4095, 4069, 3986, 3849,
3661, 3428, 3157, 2855, 2530, 2191, 1849, 1512, 1190, 892,
626, 401, 221, 92, 18, 1, 41, 137, 287, 486,
728, 1008, 1316, 1645, 1985, 2327, 2661, 2978, 3269, 3525,
3741, 3909, 4025, 4086, 4090, 4037, 3928, 3767, 3557, 3306,
3020, 2706, 2374, 2033, 1692, 1361, 1050, 766, 518, 313,
156, 52, 3, 12, 78, 198, 370, 589, 848, 1141,
1459, 1794, 2135, 2474, 2802, 3108, 3384, 3624, 3819, 3965,
4058, 4094, 4074, 3997, 3866, 3684, 3456, 3190, 2891, 2569,
2233, 1891, 1554, 1230, 929, 660, 429, 243, 107, 25,
0, 32, 119, 261, 452, 687, 960, 1264, 1589, 1927,
2269, 2604, 2923, 3219, 3482, 3704, 3881, 4007, 4078, 4093,
4051, 3954, 3803, 3604, 3361, 3082, 2774, 2446, 2107, 1766,
1433, 1117, 827, 571, 356, 188, 72, 10, 5, 56,
163, 323, 530, 779, 1063, 1375, 1705, 2045, 2385, 2715,
3027, 3312, 3562, 3770, 3929, 4037, 4090, 4086, 4025, 3910,
3743, 3529, 3274, 2985, 2670, 2337, 1997, 1658, 1330, 1022,
742, 499, 298, 146, 46, 2, 15, 84, 207, 381,
601, 861, 1155, 1472, 1806, 2147, 2484, 2810, 3114, 3389,
3627, 3821, 3966, 4058, 4094, 4074, 3998, 3868, 3687, 3461,
3196, 2899, 2579, 2244, 1904, 1568, 1244, 943, 673, 441,
253, 114, 29, 0, 27, 110, 247, 433, 664, 933,
1233, 1555, 1891, 2232, 2567, 2887, 3185, 3451, 3679, 3861,
3993, 4072, 4095, 4061, 3972, 3830, 3638, 3403, 3130, 2828,
2504, 2167, 1827, 1493, 1175, 880, 618, 395, 218, 91,
18, 1, 40, 135, 282, 478, 717, 993, 1298, 1623,
1961, 2300, 2633, 2949, 3240, 3499, 3718, 3891, 4013, 4081,
4093, 4048, 3949, 3797, 3598, 3355, 3077, 2770, 2443, 2106,
1767, 1436, 1121, 832, 577, 361, 193, 75, 11, 4,
52, 156, 311, 514, 759, 1040, 1348, 1676, 2013, 2352,
2682, 2995, 3282, 3535, 3747, 3912, 4026, 4086, 4090, 4038,
3931, 3772, 3566, 3319, 3037, 2727, 2399, 2061, 1723, 1394,
1083, 798, 547, 338, 175, 64, 7, 7, 62, 171,
332, 540, 789, 1073, 1384, 1712, 2050, 2388, 2716, 3026,
3309, 3558, 3765, 3926, 4034, 4089, 4087, 4030, 3918, 3755,
3546, 3295, 3011, 2699, 2371, 2033, 1695, 1368, 1059, 777,
530, 324, 165, 58, 6, 9, 68, 181, 345, 555,
807, 1092, 1404, 1733, 2070, 2407, 2734, 3043, 3324, 3570,
3775, 3932, 4038, 4090, 4086, 4026, 3912, 3747, 3536, 3284,
2999, 2687, 2358, 2021, 1684, 1357, 1049, 769, 523, 319,
162, 56, 5, 9, 70, 184, 348, 560, 811, 1097,
1408, 1737, 2074, 2411, 2737, 3045, 3326, 3571, 3776, 3933,
4038, 4090, 4086, 4026, 3913, 3748, 3538, 3286, 3001, 2690,
2362, 2025, 1689, 1362, 1054, 773, 527, 322, 165, 58,
6, 9, 67, 180, 343, 553, 803, 1087, 1397, 1725,
2062, 2398, 2725, 3033, 3315, 3562, 3767, 3927, 4035, 4089,
4087, 4030, 3920, 3758, 3550, 3301, 3018, 2709, 2382, 2046,
1709, 1382, 1073, 791, 543, 335, 174, 64, 7, 6,
61, 169, 329, 534, 781, 1063, 1371, 1697, 2033, 2369,
2697, 3007, 3290, 3541, 3750, 3914, 4027, 4086, 4090, 4039,
3933, 3777, 3574, 3329, 3050, 2743, 2418, 2083, 1746, 1418,
1107, 822, 569, 357, 190, 74, 11, 4, 51, 153,
306, 506, 748, 1024, 1329, 1653, 1988, 2324, 2653, 2965,
3253, 3508, 3723, 3893, 4014, 4081, 4093, 4050, 3952, 3803,
3607, 3369, 3095, 2792, 2470, 2136, 1800, 1470, 1156, 866,
608, 389, 215, 90, 18, 1, 39, 131, 276, 467,
702, 973, 1273, 1593, 1926, 2263, 2593, 2909, 3201, 3462,
3686, 3865, 3995, 4072, 4095, 4062, 3976, 3837, 3650, 3420,
3153, 2856, 2537, 2205, 1869, 1538, 1220, 925, 660, 433,
248, 113, 29, 0, 26, 106, 239, 420, 646, 908,
1202, 1518, 1849, 2185, 2517, 2836, 3135, 3404, 3636, 3826,
3968, 4058, 4094, 4075, 4002, 3876, 3701, 3481, 3223, 2934,
2620, 2291, 1956, 1623, 1301, 1000, 726, 489, 293, 144,
46, 2, 14, 79, 198, 366, 580, 832, 1118, 1428,
1755, 2090, 2424, 2747, 3052, 3330, 3573, 3776, 3932, 4037,
4089, 4087, 4029, 3919, 3758, 3551, 3305, 3024, 2717, 2392,
2058, 1724, 1399, 1090, 808, 559, 349, 185, 71, 10,
4, 52, 154, 307, 506, 746, 1021, 1324, 1646, 1979,
2314, 2641, 2953, 3240, 3496, 3712, 3884, 4007, 4078, 4094,
4055, 3963, 3819, 3628, 3395, 3126, 2828, 2509, 2177, 1843,
1513, 1198, 906, 644, 420, 239, 107, 27, 0, 28,
110, 244, 426, 652, 914, 1207, 1523, 1852, 2187, 2518,
2836, 3133, 3401, 3633, 3823, 3965, 4057, 4094, 4077, 4006,
3882, 3710, 3493, 3237, 2950, 2639, 2312, 1978, 1646, 1325,
1023, 748, 508, 309, 156, 54, 4, 10, 69, 182,
344, 551, 799, 1079, 1386, 1710, 2043, 2376, 2700, 3007,
3289, 3537, 3746, 3909, 4023, 4084, 4091, 4044, 3943, 3793,
3595, 3357, 3083, 2782, 2462, 2130, 1797, 1470, 1158, 870,
614, 395, 221, 95, 21, 0, 35, 123, 261, 448,
677, 942, 1237, 1553, 1882, 2216, 2545, 2861, 3156, 3421,
3649, 3835, 3973, 4061, 4095, 4074, 4000, 3874, 3699, 3480,
3224, 2936, 2625, 2298, 1965, 1634, 1314, 1014, 740, 502,
304, 153, 52, 4, 10, 70, 183, 345, 552, 799,
1078, 1384, 1707, 2039, 2371, 2695, 3002, 3283, 3531, 3741,
3905, 4020, 4083, 4092, 4047, 3949, 3800, 3605, 3369, 3098,
2800, 2481, 2151, 1818, 1491, 1179, 890, 631, 410, 233,
103, 25, 0, 30, 112, 246, 428, 652, 914, 1205,
1518, 1846, 2179, 2508, 2825, 3122, 3390, 3623, 3814, 3958,
4052, 4093, 4080, 4013, 3895, 3727, 3516, 3265, 2982, 2675,
2351, 2019, 1688, 1367, 1063, 785, 541, 336, 177, 67,
9, 5, 55, 157, 309, 507, 746, 1019, 1319, 1638,
1968, 2301, 2626, 2936, 3223, 3479, 3697, 3871, 3998, 4073,
4095, 4063, 3977, 3841, 3658, 3432, 3170, 2878, 2565, 2238,
1905, 1577, 1261, 966, 699, 467, 278, 134, 42, 2,
15, 83, 202, 369, 581, 831, 1113, 1420, 1743, 2074,
2405, 2726, 3029, 3307, 3551, 3756, 3916, 4027, 4085, 4091,
4042, 3941, 3791, 3595, 3358, 3086, 2788, 2470, 2141, 1809,
1484, 1173, 886, 629, 409, 232, 103, 25, 0, 29,
110, 243, 423, 645, 905, 1194, 1505, 1831, 2163, 2491,
2808, 3105, 3374, 3608, 3802, 3949, 4047, 4092, 4083, 4022,
3908, 3746, 3540, 3294, 3015, 2712, 2391, 2060, 1730, 1408,
1103, 822, 574, 364, 198, 80, 15, 2, 43, 136,
279, 469, 700, 966, 1260, 1575, 1902, 2234, 2560, 2873,
3164, 3426, 3652, 3836, 3973, 4060, 4094, 4075, 4003, 3880,
3709, 3494, 3242, 2958, 2651, 2328, 1998, 1669, 1349, 1049,
774, 532, 330, 173, 65, 8, 5, 55, 157, 309,
506, 743, 1014, 1312, 1629, 1957, 2287, 2611, 2921, 3208,
3464, 3684, 3860, 3990, 4069, 4095, 4068, 3988, 3858, 3680,
3460, 3203, 2916, 2606, 2282, 1952, 1624, 1308, 1010, 740,
503, 307, 156, 55, 5, 9, 65, 173, 330, 532,
773, 1047, 1347, 1666, 1994, 2324, 2646, 2953, 3237, 3489,
3704, 3876, 4000, 4074, 4095, 4062, 3978, 3843, 3661, 3438,
3178, 2889, 2578, 2254, 1924, 1597, 1282, 987, 719, 486,
294, 147, 49, 3, 11, 71, 183, 343, 547, 790,
1066, 1367, 1686, 2014, 2343, 2665, 2970, 3251, 3502, 3714,
3884, 4005, 4076, 4094, 4060, 3973, 3836, 3653, 3428, 3167,
2878, 2567, 2242, 1913, 1586, 1272, 978, 712, 480, 289,
144, 48, 3, 12, 73, 185, 346, 550, 794, 1069,
1370, 1689, 2017, 2345, 2666, 2971, 3252, 3502, 3714, 3883,
4005, 4076, 4094, 4060, 3973, 3837, 3655, 3431, 3171, 2882,
2572, 2248, 1919, 1593, 1279, 985, 718, 486, 294, 147,
50, 4, 10, 70, 180, 339, 542, 784, 1058, 1358,
1675, 2002, 2331, 2652, 2957, 3239, 3490, 3704, 3876, 4000,
4073, 4095, 4063, 3980, 3847, 3667, 3446, 3189, 2902, 2593,
2270, 1942, 1616, 1301, 1006, 737, 502, 307, 157, 56,
5, 8, 63, 169, 323, 522, 760, 1031, 1329, 1645,
1971, 2299, 2621, 2928, 3212, 3466, 3684, 3860, 3989, 4068,
4095, 4069, 3992, 3864, 3690, 3474, 3221, 2937, 2631, 2310,
1982, 1656, 1340, 1042, 770, 531, 330, 174, 66, 9,
4, 52, 151, 299, 491, 724, 990, 1284, 1597, 1922,
2250, 2573, 2882, 3170, 3429, 3652, 3835, 3971, 4059, 4094,
4077, 4008, 3889, 3722, 3513, 3266, 2988, 2685, 2367, 2040,
1713, 1395, 1094, 817, 572, 364, 200, 83, 16, 1,
39, 128, 267, 451, 675, 935, 1224, 1533, 1856, 2184,
2508, 2820, 3113, 3378, 3609, 3800, 3946, 4044, 4091, 4085,
4028, 3919, 3763, 3563, 3324, 3053, 2755, 2440, 2115, 1788,
1467, 1162, 879, 626, 409, 235, 106, 27, 0, 25,
102, 228, 401, 616, 868, 1149, 1454, 1773, 2100, 2425,
2741, 3039, 3312, 3552, 3754, 3912, 4023, 4084, 4092, 4048,
3954, 3810, 3622, 3393, 3131, 2840, 2530, 2207, 1880, 1557,
1247, 957, 695, 468, 281, 139, 45, 3, 12, 74,
185, 345, 547, 788, 1061, 1359, 1674, 1999, 2325, 2644,
2948, 3229, 3480, 3695, 3867, 3993, 4070, 4095, 4068, 3990,
3862, 3688, 3473, 3221, 2939, 2635, 2316, 1989, 1665, 1350,
1053, 781, 542, 340, 182, 72, 12, 3, 46, 141,
283, 471, 698, 960, 1249, 1559, 1881, 2207, 2530, 2839,
3129, 3392, 3620, 3808, 3952, 4047, 4092, 4084, 4025, 3916,
3760, 3560, 3321, 3050, 2754, 2440, 2116, 1791, 1472, 1167,
885, 632, 415, 240, 110, 30, 0, 23, 96, 220,
389, 601, 849, 1127, 1429, 1747, 2072, 2396, 2712, 3011,
3285, 3528, 3734, 3896, 4013, 4079, 4094, 4057, 3969, 3833,
3652, 3430, 3173, 2887, 2580, 2260, 1935, 1612, 1301, 1008,
741, 508, 314, 163, 60, 7, 6, 56, 157, 305,
498, 730, 994, 1286, 1597, 1919, 2244, 2564, 2872, 3158,
3417, 3640, 3824, 3963, 4053, 4093, 4081, 4018, 3905, 3746,
3543, 3303, 3031, 2734, 2420, 2097, 1772, 1454, 1152, 871,
621, 407, 233, 106, 28, 0, 24, 99, 223, 393,
605, 853, 1131, 1433, 1749, 2074, 2397, 2712, 3010, 3284,
3526, 3732, 3895, 4011, 4078, 4094, 4059, 3972, 3838, 3658,
3438, 3183, 2899, 2594, 2275, 1951, 1629, 1317, 1024, 756,
522, 325, 172, 66, 9, 4, 50, 147, 291, 479,
707, 969, 1257, 1565, 1886, 2210, 2531, 2839, 3127, 3389,
3616, 3804, 3948, 4045, 4091, 4086, 4030, 3924, 3771, 3574,
3340, 3073, 2780, 2469, 2147, 1823, 1505, 1200, 916, 661,
441, 261, 125, 38, 1, 16, 81, 196, 357, 560,
801, 1073, 1369, 1682, 2005, 2328, 2645, 2946, 3225, 3475,
3688, 3861, 3988, 4067, 4095, 4072, 3998, 3875, 3707, 3497,
3251, 2975, 2675, 2360, 2037, 1715, 1400, 1102, 828, 584,
376, 211, 91, 20, 0, 31, 113, 243, 418, 633,
884, 1164, 1466, 1783, 2106, 2428, 2740, 3035, 3305, 3544,
3745, 3904, 4017, 4081, 4093, 4055, 3967, 3830, 3650, 3429,
3174, 2891, 2586, 2269, 1945, 1625, 1315, 1023, 756, 522,
326, 173, 67, 10, 4, 48, 143, 285, 471, 696,
955, 1241, 1547, 1866, 2189, 2508, 2817, 3106, 3368, 3598,
3789, 3937, 4037, 4088, 4089, 4038, 3938, 3791, 3601, 3372,
3110, 2821, 2514, 2194, 1872, 1553, 1247, 961, 701, 476,
289, 146, 50, 4, 9, 64, 169, 321, 515, 747,
1012, 1302, 1611, 1931, 2254, 2571, 2875, 3159, 3416, 3638,
3821, 3960, 4051, 4092, 4083, 4024, 3915, 3760, 3562, 3327,
3060, 2768, 2458, 2138, 1816, 1499, 1197, 915, 661, 442,
262, 127, 39, 2, 14, 78, 190, 348, 548, 785,
1054, 1347, 1658, 1978, 2300, 2616, 2917, 3197, 3449, 3666,
3842, 3975, 4059, 4094, 4078, 4012, 3897, 3737, 3535, 3296,
3026, 2731, 2420, 2100, 1779, 1464, 1163, 885, 635, 420,
245, 115, 33, 1, 19, 87, 204, 366, 570, 810,
1081, 1376, 1687, 2007, 2328, 2643, 2942, 3220, 3468, 3682,
3855, 3983, 4064, 4095, 4075, 4005, 3887, 3724, 3519, 3278,
3007, 2712, 2400, 2080, 1759, 1445, 1146, 870, 622, 410,
237, 110, 30, 0, 21, 91, 210, 374, 579, 820,
1092, 1387, 1698, 2018, 2339, 2652, 2951, 3227, 3474, 3687,
3858, 3986, 4065, 4095, 4074, 4004, 3885, 3721, 3516, 3275,
3004, 2709, 2398, 2078, 1758, 1444, 1146, 870, 622, 410,
238, 110, 31, 0, 20, 90, 208, 371, 575, 816,
1087, 1381, 1692, 2011, 2331, 2645, 2943, 3220, 3468, 3681,
3854, 3982, 4063, 4095, 4076, 4007, 3891, 3729, 3526, 3287,
3017, 2723, 2413, 2094, 1774, 1461, 1162, 884, 636, 421,
247, 117, 34, 1, 17, 84, 198, 358, 560, 797,
1066, 1358, 1667, 1986, 2306, 2620, 2919, 3198, 3448, 3664,
3840, 3972, 4058, 4094, 4080, 4016, 3904, 3747, 3548, 3312,
3046, 2755, 2447, 2129, 1809, 1495, 1194, 914, 662, 444,
265, 130, 41, 2, 13, 73, 182, 336, 532, 765,
1029, 1318, 1625, 1943, 2262, 2577, 2879, 3160, 3414, 3635,
3817, 3956, 4048, 4092, 4085, 4029, 3924, 3774, 3582, 3352,
3090, 2803, 2497, 2181, 1861, 1546, 1243, 960, 703, 479,
293, 150, 54, 5, 7, 58, 158, 304, 493, 719,
977, 1262, 1566, 1881, 2201, 2516, 2821, 3106, 3366, 3594,
3784, 3931, 4033, 4087, 4091, 4045, 3950, 3810, 3626, 3404,
3149, 2867, 2565, 2251, 1932, 1616, 1310, 1022, 759, 527,
332, 179, 72, 12, 2, 42, 130, 265, 443, 661,
911, 1190, 1489, 1802, 2121, 2438, 2745, 3036, 3302, 3538,
3738, 3897, 4011, 4077, 4094, 4062, 3980, 3852, 3680, 3468,
3221, 2947, 2650, 2339, 2021, 1703, 1394, 1101, 831, 590,
384, 219, 98, 25, 0, 25, 99, 220, 386, 592,
833, 1103, 1396, 1705, 2023, 2341, 2651, 2948, 3222, 3468,
3679, 3852, 3980, 4061, 4094, 4078, 4012, 3899, 3740, 3541,
3306, 3041, 2751, 2444, 2128, 1810, 1498, 1199, 920, 669,
451, 271, 135, 45, 3, 11, 67, 172, 322, 514,
742, 1003, 1288, 1592, 1907, 2225, 2539, 2841, 3123, 3380,
3605, 3792, 3937, 4036, 4088, 4090, 4043, 3947, 3806, 3623,
3401, 3147, 2866, 2566, 2253, 1935, 1620, 1315, 1028, 766,
534, 339, 185, 76, 14, 1, 38, 123, 255, 429,
643, 890, 1166, 1462, 1773, 2090, 2406, 2714, 3005, 3274,
3512, 3716, 3880, 3999, 4071, 4095, 4069, 3995, 3874, 3709,
3504, 3264, 2995, 2703, 2395, 2079, 1762, 1452, 1157, 882,
636, 424, 251, 120, 37, 1, 15, 77, 187, 342,
537, 769, 1032, 1318, 1623, 1937, 2254, 2567, 2866, 3146,
3400, 3621, 3805, 3946, 4042, 4089, 4088, 4038, 3940, 3797,
3612, 3389, 3134, 2853, 2553, 2241, 1924, 1610, 1306, 1021,
760, 529, 335, 183, 75, 14, 2, 38, 123, 255,
429, 641, 888, 1162, 1457, 1767, 2083, 2399, 2706, 2997,
3265, 3504, 3709, 3874, 3995, 4069, 4095, 4072, 4001, 3883,
3721, 3519, 3282, 3015, 2725, 2419, 2104, 1788, 1478, 1182,
906, 658, 443, 266, 132, 43, 3, 11, 68, 172,
321, 511, 738, 996, 1280, 1581, 1894, 2210, 2523, 2824,
3106, 3363, 3589, 3778, 3926, 4029, 4085, 4092, 4050, 3961,
3826, 3648, 3433, 3184, 2908, 2612, 2302, 1987, 1672, 1367,
1078, 812, 575, 374, 212, 94, 23, 0, 26, 99,
220, 383, 587, 825, 1092, 1382, 1688, 2002, 2317, 2626,
2922, 3196, 3443, 3657, 3832, 3965, 4053, 4093, 4084, 4026,
3922, 3773, 3583, 3357, 3099, 2816, 2516, 2204, 1888, 1576,
1276, 993, 736, 510, 320, 172, 68, 11, 3, 43,
130, 263, 439, 652, 899, 1173, 1468, 1777, 2091, 2405,
2711, 3000, 3267, 3505, 3709, 3873, 3994, 4068, 4095, 4073,
4003, 3887, 3727, 3527, 3293, 3028, 2741, 2437, 2124, 1809,
1499, 1203, 927, 677, 460, 280, 143, 50, 5, 8,
59, 157, 301, 485, 707, 960, 1239, 1537, 1847, 2162,
2474, 2776, 3061, 3322, 3552, 3747, 3902, 4013, 4078, 4094,
4062, 3983, 3858, 3690, 3483, 3242, 2973, 2682, 2376, 2063,
1749, 1442, 1149, 878, 634, 424, 252, 122, 38, 2,
13, 73, 179, 330, 521, 748, 1005, 1287, 1588, 1899,
2213, 2524, 2823, 3104, 3360, 3585, 3774, 3922, 4026, 4083,
4093, 4054, 3968, 3836, 3662, 3451, 3206, 2934, 2641, 2334,
2020, 1707, 1403, 1113, 845, 606, 400, 234, 110, 31,
0, 18, 83, 194, 349, 544, 775, 1035, 1319, 1620,
1931, 2245, 2555, 2852, 3130, 3383, 3605, 3790, 3934, 4033,
4086, 4091, 4048, 3958, 3823, 3646, 3432, 3185, 2912, 2618,
2311, 1997, 1685, 1382, 1094, 828, 591, 388, 224, 103,
28, 0, 20, 88, 202, 359, 555, 787, 1048, 1333,
1634, 1945, 2259, 2567, 2863, 3140, 3392, 3612, 3795, 3938,
4036, 4087, 4091, 4046, 3955, 3819, 3642, 3427, 3180, 2907,
2613, 2306, 1993, 1682, 1379, 1091, 826, 590, 387, 224,
103, 28, 0, 20, 88, 201, 357, 553, 784, 1045,
1329, 1629, 1940, 2253, 2561, 2857, 3134, 3386, 3607, 3791,
3934, 4033, 4086, 4091, 4049, 3959, 3825, 3650, 3437, 3191,
2919, 2627, 2321, 2008, 1697, 1394, 1106, 840, 602, 398,
232, 109, 31, 1, 17, 82, 192, 345, 538, 767,
1025, 1307, 1606, 1916, 2228, 2537, 2834, 3112, 3366, 3589,
3776, 3923, 4026, 4083, 4093, 4055, 3970, 3840, 3669, 3460,
3218, 2949, 2658, 2354, 2042, 1731, 1427, 1137, 869, 628,
420, 250, 122, 38, 2, 13, 71, 175, 323, 511,
735, 989, 1267, 1564, 1872, 2185, 2494, 2792, 3073, 3331,
3558, 3751, 3904, 4014, 4078, 4095, 4064, 3986, 3864, 3699,
3496, 3260, 2995, 2708, 2406, 2095, 1784, 1479, 1186, 914,
668, 455, 278, 142, 50, 5, 7, 56, 152, 292,
472, 689, 937, 1211, 1504, 1810, 2122, 2432, 2732, 3017,
3280, 3514, 3714, 3875, 3994, 4068, 4095, 4075, 4007, 3895,
3739, 3545, 3315, 3057, 2775, 2476, 2168, 1856, 1549, 1254,
977, 724, 503, 317, 171, 68, 12, 2, 40, 124,
252, 423, 630, 871, 1138, 1427, 1730, 2040, 2350, 2654,
2943, 3212, 3454, 3663, 3835, 3966, 4052, 4092, 4085, 4031,
3931, 3787, 3604, 3384, 3134, 2859, 2564, 2258, 1947, 1639,
1340, 1057, 797, 566, 369, 211, 95, 24, 0, 23,
93, 208, 365, 561, 791, 1050, 1332, 1631, 1939, 2250,
2556, 2850, 3126, 3377, 3597, 3782, 3927, 4028, 4084, 4093,
4055, 3970, 3842, 3672, 3464, 3225, 2958, 2670, 2368, 2058,
1748, 1445, 1156, 888, 646, 436, 264, 132, 45, 3,
9, 61, 159, 301, 482, 700, 948, 1222, 1515, 1820,
2130, 2438, 2737, 3021, 3282, 3514, 3713, 3874, 3993, 4067,
4095, 4076, 4010, 3899, 3746, 3554, 3327, 3071, 2791, 2494,
2188, 1877, 1571, 1276, 999, 745, 521, 333, 184, 77,
16, 1, 33, 111, 234, 398, 600, 835, 1098, 1382,
1682, 1990, 2300, 2604, 2895, 3166, 3412, 3627, 3805, 3944,
4038, 4088, 4090, 4046, 3956, 3823, 3649, 3438, 3195, 2927,
2638, 2335, 2026, 1718, 1417, 1131, 865, 627, 421, 252,
124, 40, 2, 11, 66, 167, 311, 494, 712, 962,
1236, 1528, 1832, 2142, 2449, 2747, 3029, 3288, 3519, 3717,
3876, 3994, 4068, 4095, 4075, 4010, 3899, 3747, 3555, 3329,
3074, 2796, 2500, 2194, 1885, 1580, 1285, 1008, 754, 530,
340, 190, 81, 18, 0, 30, 105, 224, 386, 584,
817, 1077, 1359, 1657, 1964, 2273, 2576, 2868, 3141, 3389,
3606, 3788, 3930, 4030, 4084, 4093, 4054, 3970, 3842, 3674,
3468, 3231, 2966, 2680, 2380, 2073, 1765, 1463, 1175, 906,
664, 453, 278, 143, 52, 6, 6, 53, 145, 280,
455, 666, 909, 1178, 1466, 1768, 2076, 2383, 2682, 2968,
3232, 3469, 3674, 3843, 3970, 4054, 4092, 4085, 4030, 3931,
3789, 3608, 3392, 3144, 2872, 2582, 2279, 1971, 1665, 1367,
1085, 825, 592, 393, 230, 109, 32, 1, 16, 76,
182, 330, 516, 737, 988, 1263, 1556, 1859, 2167, 2472,
2768, 3047, 3304, 3532, 3727, 3883, 3999, 4070, 4095, 4074,
4007, 3896, 3743, 3552, 3327, 3073, 2796, 2501, 2197, 1889,
1585, 1292, 1015, 762, 537, 347, 196, 86, 20, 0,
26, 98, 214, 372, 567, 795, 1052, 1331, 1627, 1931,
2239, 2542, 2834, 3108, 3358, 3579, 3765, 3913, 4018, 4079,
4094, 4063, 3987, 3867, 3706, 3507, 3276, 3017, 2736, 2440,
2135, 1828, 1526, 1235, 963, 716, 498, 315, 171, 70,
13, 2, 36, 116, 240, 404, 605, 839, 1099, 1381,
1678, 1984, 2290, 2592, 2881, 3151, 3396, 3612, 3792, 3932,
4031, 4085, 4093, 4055, 3972, 3846, 3679, 3476, 3240, 2978,
2695, 2398, 2093, 1786, 1486, 1198, 929, 685, 472, 295,
156, 60, 9, 3, 44, 129, 257, 425, 630, 867,
1129, 1413, 1711, 2016, 2322, 2622, 2909, 3177, 3419, 3630,
3807, 3943, 4037, 4087, 4091, 4049, 3963, 3833, 3664, 3458,
3221, 2957, 2673, 2375, 2070, 1764, 1465, 1179, 912, 671,
460, 285, 149, 56, 7, 4, 47, 134, 265, 435,
641, 878, 1142, 1426, 1724, 2029, 2334, 2633, 2919, 3185,
3426, 3636, 3811, 3946, 4039, 4088, 4091, 4048, 3960, 3830,
3660, 3454, 3217, 2954, 2670, 2373, 2068, 1763, 1464, 1178,
912, 671, 460, 285, 150, 56, 8, 4, 46, 133,
262, 432, 637, 874, 1136, 1419, 1717, 2021, 2326, 2625,
2911, 3177, 3419, 3630, 3806, 3942, 4037, 4087, 4091, 4051,
3965, 3837, 3669, 3465, 3230, 2968, 2686, 2389, 2085, 1780,
1482, 1195, 928, 685, 473, 296, 158, 62, 10, 3,
42, 125, 251, 417, 619, 853, 1113, 1394, 1690, 1993,
2298, 2597, 2884, 3153, 3397, 3610, 3790, 3930, 4029, 4084,
4093, 4057, 3977, 3854, 3690, 3491, 3259, 3000, 2720, 2426,
2123, 1818, 1519, 1231, 961, 715, 499, 318, 174, 72,
14, 1, 33, 110, 230, 390, 587, 816, 1072, 1350,
1644, 1946, 2251, 2551, 2839, 3111, 3359, 3577, 3762, 3909,
4015, 4077, 4095, 4067, 3994, 3878, 3722, 3529, 3303, 3049,
2774, 2482, 2180, 1876, 1575, 1285, 1012, 761, 539, 351,
200, 89, 22, 0, 23, 91, 201, 353, 542, 764,
1015, 1288, 1578, 1879, 2183, 2484, 2775, 3051, 3304, 3530,
3723, 3879, 3994, 4067, 4095, 4078, 4016, 3910, 3764, 3580,
3362, 3115, 2845, 2557, 2257, 1954, 1652, 1359, 1081, 825,
595, 397, 236, 115, 36, 2, 12, 68, 167, 307,
486, 699, 941, 1208, 1494, 1792, 2095, 2397, 2692, 2972,
3232, 3466, 3669, 3836, 3964, 4049, 4091, 4088, 4039, 3947,
3814, 3641, 3434, 3196, 2933, 2650, 2354, 2051, 1749, 1453,
1170, 906, 667, 459, 286, 151, 58, 8, 4, 44,
128, 254, 420, 621, 854, 1113, 1392, 1685, 1987, 2290,
2588, 2873, 3141, 3385, 3599, 3779, 3921, 4023, 4081, 4094,
4063, 3987, 3869, 3711, 3516, 3290, 3036, 2761, 2470, 2169,
1866, 1567, 1279, 1007, 758, 538, 350, 200, 90, 23,
0, 22, 88, 197, 347, 534, 754, 1002, 1273, 1561,
1859, 2162, 2462, 2753, 3029, 3283, 3510, 3706, 3865, 3984,
4061, 4094, 4082, 4026, 3926, 3786, 3608, 3395, 3153, 2887,
2603, 2307, 2004, 1703, 1410, 1130, 870, 636, 433, 265,
136, 49, 5, 6, 51, 140, 271, 440, 644, 879,
1139, 1419, 1713, 2014, 2316, 2612, 2895, 3160, 3401, 3613,
3790, 3929, 4027, 4083, 4094, 4060, 3982, 3863, 3704, 3508,
3282, 3028, 2753, 2462, 2163, 1861, 1563, 1275, 1005, 757,
537, 350, 200, 91, 23, 0, 21, 87, 194, 343,
528, 746, 993, 1262, 1549, 1846, 2148, 2447, 2738, 3014,
3269, 3497, 3694, 3855, 3977, 4056, 4093, 4085, 4032, 3937,
3801, 3626, 3418, 3179, 2916, 2634, 2340, 2039, 1739, 1445,
1164, 902, 665, 459, 286, 152, 59, 9, 3, 42,
123, 247, 410, 608, 837, 1093, 1369, 1660, 1959, 2260,
2557, 2842, 3110, 3356, 3573, 3757, 3904, 4010, 4075, 4095,
4071, 4003, 3893, 3744, 3557, 3338, 3091, 2821, 2535, 2238,
1937, 1638, 1348, 1074, 820, 593, 398, 238, 117, 38,
2, 11, 63, 159, 295, 469, 677, 915, 1177, 1458,
1751, 2051, 2351, 2645, 2925, 3187, 3424, 3631, 3804, 3939,
4034, 4085, 4093, 4056, 3976, 3855, 3694, 3498, 3271, 3018,
2743, 2454, 2156, 1855, 1559, 1273, 1004, 757, 538, 352,
202, 92, 24, 0, 20, 83, 189, 335, 517, 733,
976, 1243, 1527, 1823, 2123, 2421, 2712, 2988, 3244, 3474,
3673, 3838, 3964, 4049, 4091, 4088, 4042, 3953, 3824, 3655,
3453, 3220, 2962, 2684, 2393, 2094, 1795, 1500, 1218, 953,
712, 500, 320, 178, 76, 16, 0, 28, 99, 212,
365, 553, 774, 1021, 1291, 1577, 1873, 2173, 2470, 2758,
3031, 3283, 3508, 3702, 3860, 3980, 4058, 4093, 4084, 4032,
3937, 3801, 3628, 3421, 3185, 2925, 2645, 2353, 2054, 1755,
1463, 1183, 921, 684, 475, 301, 164, 67, 12, 1,
34, 110, 227, 384, 576, 799, 1049, 1320, 1607, 1903,
2203, 2499, 2785, 3056, 3305, 3527, 3718, 3872, 3988, 4063,
4094, 4082, 4026, 3928, 3789, 3614, 3405, 3167, 2906, 2626,
2333, 2035, 1737, 1445, 1166, 907, 671, 465, 293, 158,
63, 11, 2, 37, 114, 233, 391, 584, 808, 1058,
1330, 1617, 1913, 2211, 2507, 2792, 3062, 3310, 3531, 3721,
3875, 3990, 4063, 4094, 4081, 4025, 3927, 3789, 3613, 3405,
3167, 2906, 2626, 2334, 2036, 1739, 1447, 1169, 909, 674,
468, 295, 160, 65, 11, 2, 35, 112, 229, 386,
577, 800, 1049, 1320, 1606, 1901, 2199, 2494, 2780, 3050,
3299, 3521, 3712, 3868, 3985, 4060, 4094, 4083, 4030, 3934,
3798, 3626, 3420, 3184, 2925, 2647, 2356, 2059, 1761, 1470,
1191, 930, 693, 484, 309, 170, 71, 15, 1, 30,
103, 216, 368, 556, 776, 1022, 1290, 1574, 1868, 2166,
2461, 2748, 3020, 3271, 3496, 3691, 3851, 3972, 4053, 4092,
4087, 4039, 3949, 3819, 3651, 3450, 3218, 2963, 2687, 2398,
2102, 1805, 1513, 1232, 968, 727, 514, 334, 190, 84,
21, 0, 22, 88, 194, 340, 522, 736, 977, 1241,
1523, 1815, 2112, 2408, 2696, 2970, 3226, 3456, 3656, 3823,
3952, 4041, 4087, 4091, 4052, 3971, 3849, 3689, 3494, 3269,
3018, 2747, 2461, 2167, 1869, 1576, 1293, 1025, 779, 560,
372, 219, 105, 32, 1, 13, 68, 165, 301, 474,
681, 916, 1174, 1451, 1741, 2037, 2333, 2623, 2902, 3162,
3398, 3607, 3782, 3921, 4021, 4079, 4095, 4067, 3997, 3886,
3737, 3552, 3335, 3091, 2826, 2544, 2252, 1955, 1660, 1374,
1102, 849, 622, 424, 261, 135, 50, 6, 5, 47,
131, 255, 417, 612, 838, 1090, 1361, 1647, 1941, 2237,
2530, 2812, 3078, 3323, 3541, 3727, 3879, 3992, 4064, 4094,
4081, 4026, 3929, 3793, 3620, 3414, 3180, 2922, 2646, 2357,
2062, 1766, 1476, 1199, 939, 702, 494, 317, 178, 77,
17, 0, 26, 94, 203, 350, 533, 748, 989, 1253,
1533, 1824, 2120, 2414, 2701, 2974, 3227, 3456, 3656, 3822,
3950, 4039, 4087, 4092, 4054, 3974, 3855, 3697, 3505, 3283,
3034, 2766, 2482, 2189, 1893, 1601, 1318, 1050, 803, 582,
391, 235, 117, 39, 3, 9, 58, 148, 278, 445,
645, 875, 1129, 1402, 1688, 1982, 2277, 2568, 2847, 3110,
3351, 3565, 3747, 3893, 4002, 4069, 4095, 4078, 4018, 3918,
3779, 3604, 3396, 3161, 2902, 2625, 2337, 2042, 1748, 1460,
1184, 926, 691, 485, 311, 173, 74, 16, 0, 27,
96, 205, 353, 535, 749, 991, 1254, 1533, 1823, 2118,
2411, 2697, 2969, 3222, 3451, 3651, 3817, 3947, 4037, 4086,
4093, 4057, 3979, 3862, 3707, 3518, 3298, 3052, 2785, 2504,
2212, 1917, 1625, 1342, 1074, 825, 602, 409, 250, 128,
45, 5, 6, 50, 135, 260, 421, 617, 842, 1092,
1361, 1645, 1937, 2232, 2522, 2803, 3068, 3312, 3530, 3717,
3870, 3985, 4060, 4093, 4084, 4033, 3941, 3810, 3642, 3442,
3213, 2959, 2687, 2402, 2109, 1815, 1526, 1247, 985, 746,
533, 351, 204, 95, 27, 0, 16, 73, 172, 308,
481, 686, 919, 1176, 1450, 1737, 2030, 2323, 2611, 2887,
3146, 3382, 3590, 3767, 3909, 4012, 4074, 4095, 4074, 4011,
3907, 3765, 3588, 3379, 3143, 2884, 2608, 2320, 2027, 1734,
1448, 1174, 918, 685, 481, 308, 172, 74, 16, 0,
27, 95, 203, 349, 530, 742, 981, 1242, 1519, 1807,
2100, 2393, 2678, 2950, 3203, 3433, 3634, 3803, 3935, 4029,
4082, 4094, 4063, 3991, 3879, 3730, 3546, 3331, 3090, 2828,
2549, 2261, 1967, 1676, 1392, 1122, 870, 643, 445, 279,
150, 60, 10, 2, 36, 111, 226, 378, 565, 782,
1024, 1288, 1567, 1856, 2149, 2440, 2723, 2992, 3241, 3467,
3663, 3826, 3952, 4040, 4087, 4092, 4055, 3978, 3860, 3706,
3518, 3300, 3056, 2791, 2512, 2222, 1930, 1639, 1357, 1090,
841, 618, 423, 262, 138, 52, 7, 4, 42, 122,
241, 396, 586, 805, 1049, 1314, 1594, 1884, 2176, 2466,
2747, 3014, 3261, 3484, 3677, 3837, 3961, 4045, 4089, 4091,
4051, 3971, 3851, 3695, 3505, 3285, 3040, 2775, 2495, 2206,
1914, 1624, 1343, 1077, 830, 608, 416, 256, 133, 49,
6, 4, 44, 125, 245, 401, 591, 811, 1056, 1320,
1600, 1889, 2181, 2470, 2751, 3017, 3264, 3486, 3678, 3838,
3961, 4045, 4089, 4091, 4051, 3971, 3852, 3696, 3507, 3288,
3044, 2779, 2500, 2212, 1920, 1631, 1350, 1084, 837, 614,
421, 261, 137, 52, 7, 4, 42, 121, 239, 393,
581, 799, 1042, 1306, 1585, 1873, 2164, 2453, 2734, 3001,
3249, 3472, 3666, 3828, 3953, 4040, 4087, 4092, 4056, 3979,
3863, 3711, 3524, 3308, 3066, 2804, 2526, 2239, 1948, 1659,
1377, 1110, 861, 636, 440, 276, 149, 59, 10, 2,
35, 109, 223, 373, 557, 771, 1010, 1271, 1548, 1834,
2125, 2414, 2696, 2965, 3215, 3442, 3640, 3807, 3937, 4030,
4082, 4094, 4064, 3994, 3884, 3737, 3556, 3345, 3107, 2849,
2574, 2288, 1998, 1708, 1426, 1155, 903, 675, 473, 304,
169, 73, 16, 0, 26, 92, 197, 340, 518, 726,
960, 1217, 1490, 1774, 2064, 2354, 2637, 2909, 3163, 3395,
3599, 3773, 3911, 4013, 4074, 4095, 4075, 4014, 3913, 3775,
3602, 3398, 3167, 2913, 2642, 2359, 2069, 1780, 1495, 1222,
965, 731, 522, 344, 201, 94, 27, 0, 15, 70,
165, 298, 466, 665, 893, 1143, 1412, 1693, 1982, 2271,
2557, 2832, 3091, 3329, 3542, 3725, 3874, 3986, 4060, 4093,
4085, 4037, 3948, 3822, 3659, 3465, 3242, 2995, 2730, 2450,
2163, 1873, 1587, 1310, 1048, 806, 588, 400, 245, 126,
45, 5, 5, 47, 128, 247, 403, 592, 809, 1052,
1314, 1591, 1877, 2167, 2454, 2733, 2998, 3244, 3467, 3660,
3822, 3948, 4037, 4085, 4093, 4060, 3987, 3875, 3726, 3544,
3333, 3095, 2837, 2562, 2278, 1989, 1701, 1420, 1152, 901,
674, 474, 305, 171, 74, 17, 0, 24, 89, 192,
333, 507, 712, 944, 1198, 1469, 1751, 2040, 2328, 2611,
2882, 3137, 3370, 3577, 3754, 3896, 4001, 4068, 4095, 4080,
4025, 3931, 3800, 3633, 3435, 3210, 2961, 2694, 2414, 2127,
1838, 1554, 1279, 1020, 781, 567, 383, 232, 117, 40,
3, 7, 51, 135, 257, 415, 605, 824, 1066, 1329,
1605, 1891, 2179, 2465, 2743, 3007, 3251, 3472, 3665, 3825,
3950, 4038, 4085, 4093, 4060, 3987, 3875, 3728, 3547, 3336,
3100, 2843, 2570, 2286, 1999, 1712, 1431, 1163, 913, 685,
484, 314, 178, 79, 20, 0, 21, 82, 182, 319,
490, 692, 921, 1172, 1441, 1721, 2008, 2296, 2578, 2851,
3107, 3342, 3552, 3732, 3878, 3989, 4061, 4093, 4085, 4037,
3949, 3823, 3663, 3471, 3250, 3006, 2743, 2466, 2181, 1893,
1608, 1332, 1071, 828, 609, 419, 261, 139, 54, 8,
3, 38, 112, 225, 374, 555, 767, 1003, 1260, 1533,
1815, 2102, 2389, 2668, 2935, 3185, 3412, 3612, 3782, 3917,
4016, 4075, 4095, 4074, 4014, 3915, 3779, 3609, 3408, 3180,
2930, 2663, 2384, 2098, 1811, 1528, 1256, 1000, 764, 554,
372, 224, 112, 37, 3, 8, 54, 138, 261, 418,
608, 825, 1067, 1328, 1603, 1887, 2174, 2458, 2735, 2998,
3242, 3463, 3656, 3817, 3944, 4033, 4083, 4094, 4064, 3995,
3887, 3744, 3567, 3360, 3128, 2874, 2604, 2324, 2037, 1751,
1471, 1203, 950, 720, 515, 340, 199, 94, 28, 1,
14, 67, 158, 287, 450, 645, 867, 1112, 1375, 1652,
1936, 2222, 2505, 2779, 3039, 3279, 3496, 3683, 3839, 3960,
4043, 4088, 4092, 4056, 3981, 3869, 3720, 3539, 3329, 3094,
2838, 2567, 2286, 2000, 1715, 1437, 1170, 921, 693, 492,
322, 185, 85, 23, 0, 18, 75, 170, 302, 469,
666, 890, 1136, 1401, 1678, 1962, 2248, 2530, 2802, 3060,
3298, 3512, 3697, 3850, 3968, 4048, 4089, 4091, 4052, 3975,
3860, 3710, 3527, 3316, 3080, 2824, 2552, 2271, 1986, 1701,
1424, 1158, 910, 684, 485, 316, 181, 82, 21, 0,
19, 77, 173, 306, 473, 670, 894, 1141, 1405, 1681,
1965, 2251, 2532, 2804, 3061, 3299, 3512, 3697, 3849, 3967,
4047, 4089, 4091, 4053, 3976, 3862, 3713, 3531, 3321, 3085,
2830, 2560, 2279, 1994, 1710, 1433, 1167, 919, 693, 493,
323, 186, 86, 23, 0, 17, 73, 167, 297, 462,
657, 880, 1124, 1387, 1663, 1946, 2230, 2512, 2784, 3042,
3281, 3496, 3683, 3838, 3958, 4042, 4087, 4092, 4058, 3985,
3875, 3729, 3551, 3343, 3111, 2858, 2589, 2310, 2026, 1742,
1464, 1197, 947, 718, 515, 342, 201, 96, 29, 1,
12, 63, 152, 278, 437, 628, 846, 1088, 1348, 1621,
1903, 2187, 2469, 2743, 3003, 3245, 3463, 3655, 3815, 3941,
4031, 4082, 4094, 4067, 4001, 3897, 3757, 3585, 3383, 3155,
2906, 2640, 2363, 2080, 1796, 1517, 1248, 995, 762, 554,
374, 227, 115, 40, 4, 7, 49, 130, 247, 399,
583, 796, 1032, 1288, 1558, 1838, 2121, 2404, 2679, 2943,
3189, 3413, 3611, 3779, 3913, 4012, 4073, 4095, 4078, 4021,
3927, 3797, 3633, 3439, 3217, 2974, 2713, 2439, 2157, 1873,
1593, 1322, 1064, 825, 610, 422, 266, 143, 58, 10,
2, 32, 102, 208, 350, 525, 728, 957, 1207, 1473,
1750, 2032, 2315, 2593, 2860, 3112, 3343, 3550, 3727, 3873,
3984, 4057, 4092, 4088, 4045, 3963, 3845, 3693, 3509, 3297,
3061, 2806, 2536, 2257, 1974, 1692, 1418, 1155, 909, 685,
487, 319, 184, 85, 23, 0, 16, 71, 163, 292,
454, 647, 866, 1108, 1367, 1640, 1921, 2204, 2483, 2755,
3013, 3253, 3469, 3659, 3818, 3942, 4031, 4082, 4094, 4067,
4002, 3899, 3761, 3590, 3390, 3165, 2918, 2654, 2379, 2098,
1815, 1537, 1269, 1016, 782, 572, 391, 241, 126, 47,
6, 4, 41, 116, 228, 375, 553, 760, 991, 1243,
1510, 1786, 2068, 2350, 2626, 2890, 3139, 3367, 3570, 3744,
3885, 3992, 4062, 4093, 4086, 4039, 3955, 3835, 3681, 3496,
3283, 3047, 2791, 2522, 2244, 1962, 1681, 1408, 1147, 902,
680, 484, 317, 183, 84, 23, 0, 16, 71, 163,
290, 451, 643, 861, 1101, 1360, 1631, 1910, 2192, 2471,
2742, 3000, 3240, 3457, 3648, 3808, 3935, 4026, 4080, 4095,
4071, 4009, 3910, 3776, 3609, 3412, 3190, 2946, 2685, 2412,
2132, 1850, 1572, 1304, 1049, 813, 601, 416, 261, 141,
57, 10, 2, 32, 101, 206, 346, 518, 719, 946,
1193, 1456, 1730, 2011, 2292, 2568, 2834, 3086, 3318, 3526,
3706, 3855, 3970, 4048, 4089, 4091, 4055, 3980, 3870, 3725,
3548, 3343, 3113, 2864, 2599, 2324, 2043, 1763, 1488, 1223,
974, 746, 542, 366, 222, 112, 39, 3, 7, 48,
127, 243, 392, 572, 781, 1013, 1264, 1530, 1806, 2087,
2367, 2640, 2903, 3150, 3375, 3576, 3748, 3888, 3993, 4062,
4093, 4086, 4040, 3957, 3837, 3685, 3501, 3290, 3056, 2803,
2536, 2259, 1979, 1700, 1427, 1166, 922, 699, 501, 332,
195, 93, 28, 1, 12, 61, 148, 270, 426, 611,
824, 1060, 1314, 1582, 1859, 2139, 2418, 2690, 2949, 3192,
3413, 3608, 3775, 3909, 4008, 4070, 4095, 4081, 4029, 3940,
3815, 3658, 3470, 3256, 3019, 2764, 2495, 2218, 1938, 1660,
1390, 1131, 890, 670, 476, 312, 180, 83, 23, 0,
16, 70, 160, 286, 445, 634, 849, 1087, 1343, 1611,
1888, 2168, 2445, 2716, 2973, 3214, 3432, 3625, 3788, 3919,
4015, 4074, 4095, 4078, 4023, 3932, 3805, 3645, 3456, 3240,
3002, 2747, 2478, 2201, 1922, 1645, 1375, 1118, 878, 660,
468, 305, 175, 80, 21, 0, 17, 72, 164, 291,
451, 640, 855, 1093, 1348, 1617, 1893, 2173, 2449, 2719,
2976, 3216, 3434, 3626, 3788, 3919, 4015, 4074, 4095, 4078,
4024, 3933, 3806, 3648, 3459, 3244, 3007, 2752, 2484, 2208,
1929, 1652, 1383, 1126, 886, 667, 475, 311, 180, 83,
23, 0, 16, 69, 158, 283, 441, 628, 842, 1078,
1332, 1599, 1874, 2153, 2430, 2700, 2957, 3198, 3417, 3611,
3776, 3909, 4008, 4070, 4095, 4081, 4030, 3943, 3820, 3665,
3479, 3267, 3033, 2780, 2514, 2239, 1960, 1684, 1414, 1155,
913, 693, 497, 330, 194, 93, 29, 1, 11, 59,
144, 264, 416, 599, 809, 1042, 1293, 1558, 1832, 2110,
2387, 2657, 2917, 3160, 3383, 3581, 3751, 3889, 3993, 4062,
4093, 4086, 4042, 3961, 3845, 3696, 3516, 3309, 3079, 2830,
2566, 2293, 2016, 1739, 1467, 1207, 962, 737, 536, 363,
221, 112, 40, 4, 6, 45, 122, 234, 379, 555,
758, 985, 1232, 1494, 1766, 2043, 2320, 2592, 2854, 3101,
3329, 3533, 3710, 3857, 3970, 4047, 4088, 4092, 4058, 3987,
3880, 3740, 3568, 3369, 3145, 2901, 2642, 2371, 2095, 1818,
1545, 1281, 1031, 800, 592, 411, 260, 141, 58, 11,
1, 29, 94, 195, 330, 496, 691, 910, 1151, 1407,
1676, 1951, 2229, 2502, 2768, 3020, 3255, 3467, 3653, 3810,
3935, 4025, 4078, 4095, 4074, 4016, 3922, 3794, 3633, 3444,
3229, 2993, 2739, 2472, 2198, 1921, 1647, 1379, 1124, 886,
669, 477, 315, 183, 86, 25, 0, 14, 64, 150,
271, 425, 608, 818, 1050, 1300, 1564, 1837, 2113, 2388,
2657, 2915, 3157, 3379, 3577, 3746, 3885, 3990, 4059, 4092,
4088, 4046, 3968, 3855, 3709, 3532, 3329, 3102, 2856, 2595,
2325, 2049, 1773, 1502, 1241, 995, 768, 565, 388, 242,
128, 50, 7, 3, 35, 104, 208, 346, 514, 711,
932, 1173, 1430, 1699, 1973, 2249, 2522, 2786, 3036, 3268,
3478, 3662, 3817, 3939, 4028, 4080, 4095, 4073, 4014, 3919,
3791, 3631, 3442, 3227, 2992, 2739, 2473, 2200, 1924, 1651,
1384, 1130, 892, 675, 484, 320, 188, 90, 27, 1,
12, 60, 144, 262, 413, 593, 800, 1030, 1278, 1539,
1810, 2086, 2360, 2629, 2888, 3131, 3354, 3554, 3727, 3869,
3978, 4052, 4090, 4091, 4055, 3982, 3875, 3734, 3563, 3365,
3142, 2900, 2643, 2375, 2100, 1825, 1554, 1292, 1043, 813,
605, 423, 271, 150, 64, 14, 0, 24, 84, 179,
309, 469, 658, 873, 1108, 1360, 1625, 1898, 2173, 2446,
2711, 2965, 3202, 3418, 3610, 3773, 3905, 4004, 4067, 4094,
4084, 4037, 3955, 3838, 3688, 3510, 3304, 3077, 2830, 2570,
2300, 2025, 1751, 1483, 1224, 981, 756, 555, 381, 237,
125, 48, 7, 3, 35, 104, 208, 345, 512, 707,
926, 1166, 1421, 1687, 1960, 2235, 2506, 2769, 3019, 3251,
3462, 3647, 3804, 3929, 4020, 4076, 4095, 4077, 4024, 3934,
3811, 3656, 3472, 3262, 3031, 2782, 2520, 2250, 1975, 1703,
1436, 1180, 940, 720, 523, 354, 216, 110, 39, 4,
5, 44, 118, 227, 368, 539, 738, 960, 1201, 1458,
1725, 1998, 2272, 2542, 2803, 3050, 3279, 3487, 3668, 3821,
3942, 4028, 4080, 4095, 4073, 4015, 3922, 3796, 3638, 3452,
3240, 3007, 2757, 2495, 2224, 1951, 1679, 1413, 1159, 921,
703, 509, 343, 207, 103, 35, 3, 7, 47, 124,
234, 377, 550, 750, 973, 1214, 1471, 1738, 2011, 2284,
2553, 2813, 3059, 3287, 3493, 3674, 3825, 3945, 4030, 4081,
4095, 4072, 4014, 3920, 3794, 3636, 3449, 3238, 3006, 2756,
2494, 2224, 1951, 1679, 1414, 1161, 923, 705, 511, 345,
208, 105, 36, 3, 6, 46, 121, 231, 372, 544,
742, 964, 1205, 1460, 1727, 1998, 2271, 2540, 2800, 3047,
3275, 3482, 3664, 3817, 3938, 4026, 4078, 4095, 4075, 4019,
3929, 3804, 3649, 3465, 3256, 3026, 2778, 2517, 2248, 1976,
1704, 1439, 1185, 946, 726, 530, 361, 222, 115, 42,
5, 4, 39, 110, 216, 353, 521, 716, 934, 1172,
1426, 1690, 1961, 2234, 2503, 2764, 3012, 3243, 3453, 3638,
3795, 3921, 4014, 4072, 4095, 4081, 4031, 3946, 3827, 3677,
3499, 3294, 3068, 2823, 2565, 2297, 2026, 1754, 1488, 1232,
990, 767, 566, 392, 247, 133, 54, 10, 1, 29,
93, 190, 321, 482, 671, 884, 1118, 1368, 1630, 1899,
2171, 2441, 2703, 2955, 3190, 3405, 3596, 3760, 3893, 3995,
4061, 4093, 4088, 4047, 3971, 3861, 3720, 3548, 3351, 3130,
2890, 2636, 2371, 2101, 1829, 1562, 1303, 1057, 828, 621,
439, 286, 163, 74, 19, 0, 17, 70, 157, 278,
429, 610, 815, 1042, 1287, 1545, 1812, 2083, 2354, 2619,
2874, 3114, 3336, 3535, 3708, 3852, 3964, 4042, 4086, 4094,
4065, 4002, 3904, 3773, 3613, 3424, 3212, 2979, 2730, 2469,
2201, 1930, 1661, 1398, 1147, 912, 697, 506, 341, 207,
104, 36, 3, 6, 45, 118, 226, 365, 534, 729,
947, 1185, 1438, 1701, 1970, 2241, 2508, 2768, 3014, 3244,
3453, 3637, 3793, 3919, 4012, 4071, 4095, 4082, 4034, 3951,
3836, 3688, 3512, 3311, 3087, 2846, 2590, 2325, 2055, 1785,
1520, 1263, 1021, 796, 593, 416, 267, 149, 65, 15,
0, 21, 78, 169, 292, 446, 628, 835, 1063, 1308,
1566, 1833, 2103, 2372, 2636, 2889, 3127, 3347, 3544, 3715,
3857, 3967, 4044, 4087, 4093, 4064, 4000, 3902, 3772, 3612,
3424, 3213, 2981, 2733, 2473, 2206, 1936, 1667, 1406, 1156,
921, 706, 514, 349, 213, 109, 39, 4, 5, 41,
111, 216, 352, 517, 710, 925, 1160, 1410, 1672, 1940,
2209, 2476, 2736, 2983, 3215, 3426, 3613, 3773, 3903, 4000,
4064, 4093, 4087, 4045, 3968, 3858, 3717, 3547, 3351, 3132,
2895, 2642, 2380, 2112, 1842, 1577, 1319, 1074, 846, 639,
456, 300, 175, 83, 24, 0, 12, 59, 141, 255,
401, 575, 774, 996, 1235, 1489, 1752, 2021, 2289, 2554,
2810, 3053, 3278, 3482, 3661, 3813, 3934, 4022, 4076, 4095,
4079, 4027, 3942, 3824, 3675, 3498, 3296, 3072, 2831, 2576,
2312, 2044, 1775, 1512, 1257, 1017, 794, 592, 416, 268,
151, 66, 16, 0, 20, 75, 164, 285, 436, 616,
820, 1045, 1287, 1543, 1807, 2076, 2343, 2606, 2859, 3098,
3319, 3519, 3692, 3838, 3952, 4034, 4082, 4095, 4072, 4015,
3924, 3800, 3646, 3465, 3260, 3034, 2790, 2534, 2270, 2002,
1734, 1472, 1220, 982, 763, 565, 393, 250, 137, 57,
11, 1, 25, 84, 177, 302, 457, 639, 845, 1072,
1316, 1572, 1836, 2104, 2371, 2633, 2884, 3121, 3340, 3536,
3707, 3850, 3961, 4040, 4084, 4094, 4069, 4009, 3915, 3790,
3634, 3452, 3245, 3018, 2774, 2518, 2254, 1986, 1719, 1458,
1207, 971, 753, 557, 386, 244, 133, 55, 10, 1,
26, 87, 180, 306, 461, 643, 850, 1077, 1320, 1576,
1840, 2107, 2374, 2634, 2885, 3122, 3340, 3536, 3707, 3849,
3960, 4039, 4084, 4094, 4069, 4010, 3917, 3793, 3638, 3457,
3251, 3025, 2782, 2527, 2263, 1996, 1730, 1469, 1218, 981,
763, 566, 395, 251, 139, 58, 12, 0, 24, 81,
173, 296, 449, 629, 833, 1058, 1300, 1554, 1817, 2084,
2350, 2611, 2862, 3100, 3320, 3518, 3690, 3835, 3950, 4032,
4081, 4095, 4074, 4019, 3930, 3809, 3658, 3480, 3278, 3055,
2814, 2561, 2299, 2033, 1766, 1505, 1253, 1014, 793, 594,
419, 271, 154, 69, 17, 0, 18, 70, 155, 273,
421, 596, 796, 1017, 1256, 1508, 1769, 2035, 2301, 2562,
2815, 3055, 3278, 3480, 3658, 3809, 3929, 4018, 4074, 4095,
4081, 4033, 3952, 3838, 3694, 3522, 3325, 3107, 2870, 2620,
2360, 2095, 1829, 1567, 1312, 1071, 846, 641, 460, 305,
180, 87, 27, 1, 10, 53, 129, 238, 378, 546,
739, 954, 1188, 1436, 1695, 1959, 2225, 2488, 2743, 2987,
3215, 3423, 3608, 3767, 3896, 3995, 4060, 4092, 4089, 4052,
3981, 3877, 3743, 3580, 3391, 3180, 2949, 2704, 2447, 2183,
1918, 1654, 1397, 1151, 921, 709, 519, 356, 221, 116,
45, 6, 3, 33, 98, 195, 323, 481, 665, 872,
1098, 1341, 1596, 1858, 2123, 2387, 2646, 2894, 3128, 3344,
3538, 3707, 3848, 3959, 4038, 4083, 4094, 4071, 4014, 3924,
3803, 3651, 3473, 3272, 3049, 2810, 2558, 2297, 2033, 1768,
1508, 1258, 1020, 800, 601, 426, 278, 160, 73, 20,
0, 15, 64, 146, 260, 404, 575, 771, 989, 1224,
1473, 1731, 1995, 2260, 2521, 2774, 3015, 3240, 3445, 3626,
3781, 3907, 4002, 4065, 4093, 4087, 4048, 3974, 3869, 3733,
3569, 3380, 3168, 2938, 2692, 2436, 2174, 1909, 1647, 1391,
1147, 917, 706, 518, 355, 221, 117, 45, 7, 2,
32, 96, 192, 319, 474, 656, 861, 1086, 1327, 1580,
1841, 2105, 2368, 2626, 2874, 3109, 3326, 3521, 3692, 3835,
3949, 4031, 4080, 4095, 4076, 4023, 3938, 3821, 3674, 3500,
3302, 3084, 2848, 2599, 2340, 2077, 1813, 1553, 1302, 1063,
840, 637, 458, 305, 181, 88, 28, 1, 9, 50,
124, 230, 367, 531, 721, 932, 1163, 1407, 1663, 1924,
2188, 2450, 2704, 2948, 3177, 3387, 3575, 3738, 3872, 3976,
4049, 4088, 4093, 4064, 4002, 3908, 3782, 3628, 3448, 3244,
3021, 2782, 2530, 2270, 2007, 1745, 1487, 1239, 1004, 786,
590, 417, 272, 155, 71, 19, 0, 15, 64, 146,
259, 402, 572, 767, 982, 1215, 1462, 1719, 1981, 2244,
2504, 2756, 2997, 3221, 3427, 3610, 3767, 3895, 3993, 4059,
4091, 4090, 4055, 3987, 3887, 3757, 3598, 3414, 3207, 2981,
2740, 2487, 2228, 1965, 1703, 1447, 1201, 969, 755, 562,
394, 253, 141, 61, 14, 0, 20, 73, 159, 276,
422, 595, 792, 1009, 1244, 1491, 1748, 2010, 2272, 2531,
2782, 3020, 3243, 3446, 3626, 3780, 3905, 4000, 4063, 4093,
4089, 4051, 3980, 3878, 3746, 3586, 3400, 3192, 2966, 2724,
2471, 2212, 1949, 1688, 1434, 1189, 958, 746, 554, 387,
248, 138, 59, 13, 0, 21, 75, 162, 279, 426,
599, 796, 1013, 1247, 1494, 1751, 2012, 2274, 2532, 2782,
3020, 3243, 3445, 3625, 3779, 3904, 3999, 4062, 4092, 4089,
4052, 3983, 3881, 3750, 3591, 3406, 3200, 2974, 2734, 2482,
2223, 1961, 1701, 1446, 1201, 970, 757, 565, 397, 255,
144, 63, 15, 0, 19, 70, 154, 269, 413, 583,
778, 993, 1226, 1471, 1727, 1987, 2248, 2507, 2757, 2996,
3220, 3424, 3606, 3763, 3891, 3990, 4056, 4090, 4091, 4059,
3993, 3896, 3769, 3614, 3433, 3229, 3007, 2769, 2519, 2261,
2000, 1740, 1484, 1238, 1005, 789, 594, 422, 277, 160,
75, 21, 0, 13, 59, 137, 246, 384, 550, 739,
951, 1179, 1422, 1676, 1935, 2196, 2454, 2706, 2948, 3174,
3383, 3569, 3731, 3866, 3971, 4044, 4086, 4094, 4069, 4011,
3922, 3801, 3653, 3478, 3281, 3063, 2829, 2582, 2326, 2066,
1806, 1549, 1301, 1065, 845, 644, 466, 313, 189, 95,
33, 3, 6, 42, 111, 211, 341, 499, 681, 886,
1110, 1348, 1598, 1856, 2116, 2375, 2629, 2874, 3105, 3319,
3512, 3682, 3825, 3940, 4024, 4076, 4095, 4081, 4034, 3955,
3846, 3707, 3541, 3352, 3141, 2913, 2670, 2418, 2159, 1899,
1641, 1390, 1150, 924, 716, 529, 367, 233, 127, 53,
10, 1, 24, 81, 168, 287, 433, 606, 802, 1018,
1250, 1496, 1750, 2009, 2268, 2524, 2773, 3010, 3231, 3433,
3613, 3767, 3894, 3991, 4057, 4091, 4091, 4059, 3994, 3898,
3772, 3619, 3440, 3239, 3019, 2783, 2535, 2279, 2020, 1761,
1507, 1261, 1029, 812, 615, 442, 294, 174, 85, 27,
1, 9, 49, 121, 224, 356, 516, 700, 906, 1130,
1368, 1618, 1875, 2134, 2392, 2644, 2887, 3116, 3328, 3520,
3688, 3830, 3943, 4025, 4076, 4095, 4081, 4034, 3955, 3846,
3708, 3543, 3354, 3145, 2918, 2677, 2425, 2168, 1909, 1652,
1402, 1162, 936, 728, 541, 378, 241, 134, 57, 13,
0, 21, 74, 158, 273, 415, 585, 777, 990, 1219,
1462, 1714, 1972, 2231, 2486, 2735, 2973, 3196, 3400, 3583,
3742, 3873, 3976, 4047, 4087, 4094, 4068, 4010, 3921, 3802,
3655, 3482, 3287, 3072, 2840, 2596, 2343, 2085, 1827, 1572,
1325, 1089, 869, 668, 488, 333, 206, 108, 41, 6,
3, 33, 95, 188, 310, 461, 636, 834, 1051, 1285,
1530, 1783, 2041, 2299, 2552, 2798, 3032, 3250, 3449, 3626,
3777, 3901, 3996, 4060, 4091, 4091, 4057, 3992, 3896, 3771,
3618, 3440, 3240, 3022, 2787, 2541, 2288, 2030, 1773, 1520,
1275, 1043, 827, 630, 455, 306, 185, 93, 32, 3,
6, 42, 109, 207, 335, 489, 669, 870, 1089, 1324,
1570, 1824, 2082, 2339, 2591, 2834, 3066, 3281, 3476, 3649,
3796, 3916, 4006, 4066, 4093, 4088, 4051, 3982, 3882, 3754,
3598, 3418, 3216, 2996, 2761, 2514, 2261, 2003, 1747, 1495,
1252, 1022, 808, 613, 441, 295, 176, 87, 28, 2,
7, 45, 115, 215, 344, 500, 680, 882, 1102, 1337,
1584, 1837, 2094, 2350, 2602, 2844, 3074, 3288, 3483, 3654,
3801, 3919, 4008, 4067, 4093, 4088, 4050, 3980, 3881, 3752,
3597, 3417, 3215, 2996, 2761, 2515, 2262, 2005, 1749, 1498,
1255, 1025, 811, 617, 445, 298, 179, 89, 29, 2,
7, 43, 112, 210, 338, 492, 671, 872, 1090, 1324,
1569, 1822, 2078, 2334, 2585, 2828, 3059, 3273, 3469, 3642,
3790, 3911, 4002, 4063, 4092, 4089, 4055, 3988, 3892, 3766,
3613, 3436, 3237, 3020, 2787, 2543, 2291, 2035, 1779, 1528,
1285, 1053, 838, 641, 466, 316, 193, 99, 36, 4,
4, 36, 100, 194, 316, 467, 641, 838, 1054, 1285,
1528, 1779, 2034, 2290, 2542, 2786, 3018, 3235, 3434, 3611,
3764, 3890, 3987, 4054, 4089, 4093, 4064, 4004, 3914, 3795,
3648, 3476, 3282, 3069, 2840, 2598, 2348, 2093, 1838, 1586,
1341, 1107, 887, 686, 506, 350, 221, 120, 49, 9,
1, 25, 80, 166, 281, 424, 592, 783, 993, 1220,
1459, 1708, 1962, 2217, 2470, 2716, 2952, 3173, 3377, 3561,
3721, 3855, 3960, 4036, 4081, 4095, 4077, 4027, 3946, 3836,
3698, 3534, 3348, 3141, 2917, 2680, 2433, 2180, 1925, 1671,
1424, 1186, 962, 755, 567, 403, 264, 153, 71, 20,
0, 12, 56, 130, 235, 367, 525, 707, 910, 1130,
1365, 1610, 1861, 2116, 2370, 2619, 2858, 3086, 3297, 3488,
3658, 3802, 3920, 4008, 4066, 4093, 4088, 4052, 3984, 3887,
3761, 3609, 3432, 3235, 3018, 2787, 2544, 2294, 2040, 1786,
1536, 1294, 1064, 849, 652, 477, 326, 202, 106, 40,
6, 3, 31, 90, 180, 299, 444, 614, 807, 1018,
1245, 1485, 1733, 1987, 2241, 2492, 2736, 2970, 3189, 3391,
3572, 3730, 3861, 3965, 4039, 4083, 4095, 4075, 4025, 3944,
3833, 3696, 3532, 3346, 3140, 2918, 2681, 2436, 2184, 1930,
1678, 1431, 1194, 970, 763, 576, 411, 271, 159, 75,
22, 1, 10, 51, 123, 224, 353, 508, 687, 887,
1104, 1336, 1579, 1829, 2083, 2336, 2584, 2824, 3052, 3265,
3459, 3632, 3780, 3902, 3995, 4058, 4091, 4092, 4061, 4000,
3909, 3790, 3643, 3473, 3280, 3069, 2842, 2602, 2355, 2102,
1849, 1599, 1355, 1123, 904, 703, 523, 366, 234, 131,
57, 13, 0, 19, 69, 149, 258, 394, 556, 740,
944, 1166, 1401, 1645, 1896, 2149, 2401, 2647, 2884, 3108,
3316, 3504, 3671, 3812, 3927, 4013, 4069, 4094, 4087, 4050,
3982, 3885, 3759, 3608, 3432, 3236, 3021, 2792, 2551, 2302,
2050, 1798, 1549, 1308, 1079, 864, 667, 491, 339, 213,
115, 46, 8, 1, 25, 80, 165, 278, 419, 584,
772, 978, 1202, 1438, 1683, 1934, 2186, 2437, 2681, 2916,
3137, 3343, 3528, 3691, 3829, 3939, 4021, 4073, 4094, 4085,
4044, 3973, 3872, 3744, 3590, 3413, 3215, 2999, 2769, 2528,
2279, 2027, 1776, 1528, 1289, 1061, 848, 653, 479, 329,
205, 110, 43, 7, 2, 28, 84, 170, 285, 426,
592, 780, 987, 1211, 1446, 1691, 1942, 2194, 2443, 2687,
2921, 3142, 3346, 3531, 3693, 3830, 3940, 4022, 4073, 4094,
4085, 4044, 3973, 3873, 3745, 3592, 3415, 3218, 3003, 2774,
2533, 2286, 2034, 1783, 1536, 1297, 1069, 856, 660, 486,
335, 211, 114, 46, 8, 1, 25, 80, 164, 277,
416, 580, 766, 971, 1193, 1427, 1671, 1921, 2172, 2421,
2665, 2900, 3122, 3327, 3513, 3677, 3817, 3930, 4014, 4069,
4094, 4087, 4050, 3983, 3887, 3763, 3613, 3440, 3245, 3033,
2806, 2567, 2321, 2071, 1820, 1572, 1332, 1103, 888, 690,
512, 358, 229, 128, 55, 12, 0, 19, 68, 147,
254, 388, 547, 729, 930, 1149, 1380, 1622, 1870, 2121,
2370, 2615, 2851, 3076, 3284, 3474, 3643, 3788, 3907, 3998,
4059, 4091, 4092, 4062, 4002, 3913, 3795, 3652, 3485, 3296,
3088, 2865, 2629, 2385, 2136, 1886, 1638, 1396, 1164, 945,
742, 560, 399, 263, 154, 73, 22, 1, 10, 50,
120, 219, 345, 496, 671, 866, 1079, 1306, 1545, 1790,
2040, 2290, 2536, 2775, 3003, 3217, 3413, 3589, 3742, 3869,
3970, 4041, 4083, 4095, 4076, 4027, 3948, 3841, 3707, 3548,
3367, 3167, 2950, 2719, 2478, 2231, 1981, 1732, 1488, 1253,
1029, 820, 629, 460, 314, 194, 102, 39, 5, 2,
30, 87, 174, 288, 429, 594, 780, 985, 1206, 1440,
1682, 1930, 2180, 2427, 2669, 2902, 3122, 3326, 3511, 3675,
3814, 3927, 4012, 4067, 4093, 4089, 4054, 3989, 3896, 3775,
3628, 3458, 3267, 3058, 2834, 2599, 2355, 2106, 1857, 1611,
1371, 1141, 925, 725, 545, 387, 254, 147, 69, 19,
0, 11, 53, 124, 223, 350, 501, 676, 870, 1082,
1309, 1546, 1791, 2040, 2288, 2533, 2771, 2998, 3211, 3407,
3583, 3736, 3864, 3965, 4038, 4082, 4095, 4078, 4031, 3955,
3850, 3719, 3564, 3386, 3188, 2973, 2745, 2506, 2261, 2012,
1764, 1520, 1284, 1060, 849, 657, 485, 336, 212, 116,
48, 9, 1, 22, 74, 154, 263, 398, 557, 738,
938, 1155, 1385, 1624, 1870, 2119, 2366, 2609, 2843, 3066,
3273, 3463, 3632, 3777, 3897, 3990, 4054, 4089, 4093, 4068,
4013, 3928, 3817, 3679, 3517, 3334, 3132, 2914, 2683, 2443,
2197, 1948, 1702, 1460, 1227, 1006, 801, 613, 447, 304,
187, 97, 36, 5, 3, 31, 89, 176, 290, 430,
593, 778, 982, 1201, 1432, 1673, 1919, 2167, 2413, 2654,
2886, 3105, 3309, 3495, 3659, 3800, 3915, 4003, 4062, 4091,
4091, 4061, 4001, 3913, 3797, 3656, 3491, 3305, 3101, 2881,
2650, 2409, 2163, 1915, 1670, 1430, 1199, 980, 777, 592,
429, 290, 176, 89, 31, 3, 4, 36, 96, 186,
302, 444, 609, 795, 1000, 1219, 1451, 1692, 1937, 2185,
2430, 2670, 2900, 3118, 3321, 3505, 3668, 3807, 3920, 4006,
4064, 4092, 4090, 4059, 3998, 3909, 3793, 3651, 3486, 3301,
3096, 2877, 2645, 2405, 2160, 1913, 1668, 1428, 1198, 980,
777, 593, 430, 291, 177, 90, 32, 3, 4, 35,
95, 183, 298, 439, 603, 788, 991, 1210, 1441, 1680,
1925, 2172, 2417, 2656, 2887, 3105, 3309, 3493, 3657, 3798,
3913, 4001, 4060, 4091, 4092, 4063, 4005, 3918, 3805, 3666,
3503, 3320, 3118, 2900, 2671, 2432, 2187, 1941, 1696, 1456,
1225, 1006, 802, 616, 450, 308, 191, 101, 39, 6,
2, 28, 84, 167, 278, 415, 575, 757, 957, 1172,
1401, 1639, 1882, 2128, 2373, 2614, 2846, 3066, 3272, 3460,
3627, 3772, 3892, 3985, 4051, 4087, 4094, 4071, 4020, 3939,
3832, 3698, 3541, 3363, 3165, 2951, 2725, 2488, 2245, 2000,
1755, 1514, 1281, 1059, 851, 661, 490, 342, 219, 122,
52, 12, 0, 18, 66, 142, 245, 374, 527, 703,
897, 1108, 1333, 1568, 1809, 2054, 2300, 2541, 2775, 2999,
3209, 3403, 3577, 3728, 3856, 3958, 4032, 4078, 4095, 4082,
4040, 3970, 3871, 3747, 3598, 3427, 3236, 3029, 2807, 2574,
2333, 2089, 1844, 1602, 1366, 1140, 927, 731, 553, 396,
263, 156, 76, 24, 1, 8, 43, 108, 200, 319,
462, 628, 814, 1018, 1237, 1468, 1706, 1950, 2195, 2438,
2675, 2903, 3119, 3320, 3502, 3664, 3802, 3916, 4002, 4061,
4091, 4092, 4063, 4006, 3921, 3809, 3671, 3511, 3330, 3130,
2915, 2688, 2451, 2209, 1964, 1721, 1482, 1251, 1032, 827,
640, 473, 328, 208, 114, 47, 9, 1, 21, 70,
148, 252, 382, 536, 711, 906, 1116, 1340, 1574, 1815,
2059, 2303, 2543, 2776, 2999, 3208, 3401, 3574, 3726, 3853,
3955, 4030, 4077, 4095, 4083, 4043, 3975, 3878, 3756, 3610,
3441, 3253, 3048, 2828, 2597, 2358, 2115, 1871, 1630, 1394,
1168, 954, 756, 576, 418, 282, 171, 87, 31, 3,
4, 35, 94, 180, 293, 431, 592, 774, 973, 1188,
1415, 1651, 1893, 2136, 2379, 2617, 2846, 3065, 3269, 3455,
3622, 3766, 3886, 3980, 4047, 4085, 4095, 4075, 4027, 3951,
3847, 3719, 3567, 3393, 3200, 2991, 2769, 2536, 2297, 2054,
1810, 1571, 1338, 1115, 905, 712, 537, 384, 254, 149,
72, 22, 1, 9, 45, 110, 202, 320, 463, 628,
813, 1015, 1232, 1461, 1697, 1939, 2182, 2423, 2659, 2886,
3102, 3303, 3485, 3648, 3788, 3904, 3993, 4055, 4089, 4093,
4070, 4017, 3937, 3830, 3698, 3543, 3367, 3173, 2962, 2739,
2506, 2266, 2024, 1781, 1543, 1311, 1090, 883, 692, 520,
369, 242, 140, 66, 19, 0, 11, 50, 117, 211,
331, 475, 641, 827, 1030, 1247, 1475, 1712, 1953, 2196,
2436, 2671, 2897, 3112, 3311, 3493, 3654, 3793, 3907, 3995,
4056, 4089, 4093, 4069, 4016, 3935, 3828, 3697, 3542, 3366,
3172, 2962, 2739, 2506, 2267, 2025, 1784, 1546, 1315, 1094,
887, 696, 524, 373, 245, 143, 68, 20, 0, 10,
47, 113, 205, 324, 466, 631, 815, 1017, 1233, 1460,
1695, 1936, 2178, 2418, 2653, 2879, 3094, 3294, 3477, 3640,
3781, 3897, 3988, 4051, 4087, 4094, 4073, 4023, 3946, 3842,
3714, 3562, 3389, 3197, 2989, 2769, 2538, 2300, 2059, 1818,
1579, 1348, 1126, 917, 724, 549, 395, 264, 158, 78,
26, 2, 6, 39, 99, 187, 300, 438, 598, 779,
977, 1189, 1414, 1648, 1887, 2128, 2368, 2604, 2832, 3049,
3252, 3439, 3606, 3751, 3873, 3969, 4039, 4081, 4095, 4080,
4038, 3967, 3870, 3748, 3602, 3435, 3248, 3045, 2828, 2600,
2364, 2124, 1883, 1645, 1411, 1187, 975, 777, 597, 438,
300, 187, 99, 39, 6, 2, 26, 77, 157, 262,
392, 545, 718, 910, 1118, 1339, 1569, 1806, 2047, 2287,
2524, 2754, 2975, 3183, 3375, 3549, 3702, 3832, 3937, 4017,
4069, 4093, 4089, 4057, 3997, 3910, 3798, 3661, 3502, 3323,
3126, 2915, 2692, 2459, 2221, 1981, 1741, 1506, 1278, 1061,
858, 671, 503, 356, 232, 134, 62, 17, 0, 12,
51, 118, 211, 330, 473, 637, 820, 1021, 1235, 1461,
1695, 1933, 2173, 2412, 2645, 2870, 3084, 3284, 3466, 3629,
3771, 3888, 3981, 4046, 4084, 4095, 4077, 4031, 3958, 3859,
3735, 3588, 3419, 3232, 3028, 2811, 2584, 2349, 2110, 1871,
1633, 1402, 1179, 968, 772, 594, 435, 299, 186, 99,
39, 6, 2, 25, 76, 154, 258, 386, 538, 710,
900, 1106, 1325, 1553, 1789, 2028, 2267, 2503, 2733, 2954,
3162, 3355, 3530, 3685, 3817, 3925, 4008, 4063, 4091, 4092,
4064, 4008, 3926, 3818, 3686, 3532, 3357, 3165, 2957, 2737,
2507, 2271, 2032, 1794, 1558, 1330, 1111, 905, 715, 543,
391, 262, 157, 78, 26, 2, 5, 37, 95, 181,
291, 426, 583, 760, 954, 1163, 1384, 1614, 1850, 2089,
2327, 2562, 2789, 3006, 3211, 3399, 3569, 3718, 3845, 3947,
4023, 4072, 4094, 4088, 4054, 3993, 3905, 3793, 3656, 3498,
3320, 3124, 2914, 2693, 2462, 2226, 1987, 1750, 1516, 1290,
1074, 871, 684, 515, 368, 243, 143, 68, 21, 1,
8, 44, 106, 195, 309, 447, 606, 785, 981, 1191,
1413, 1643, 1879, 2118, 2355, 2588, 2814, 3029, 3231, 3417,
3585, 3732, 3855, 3955, 4028, 4075, 4094, 4086, 4050, 3987,
3898, 3783, 3646, 3486, 3307, 3112, 2901, 2679, 2449, 2213,
1975, 1738, 1506, 1280, 1065, 863, 678, 510, 364, 240,
141, 67, 20, 1, 9, 44, 107, 196, 310, 447,
606, 784, 979, 1189, 1410, 1640, 1876, 2113, 2350, 2583,
2808, 3023, 3225, 3411, 3579, 3726, 3851, 3951, 4026, 4073,
4094, 4087, 4053, 3992, 3904, 3792, 3656, 3498, 3321, 3127,
2918, 2698, 2469, 2234, 1996, 1760, 1527, 1301, 1086, 883,
696, 527, 379, 253, 151, 74, 24, 1, 6, 38,
97, 183, 293, 427, 582, 758, 950, 1157, 1376, 1605,
1839, 2076, 2312, 2545, 2771, 2988, 3192, 3380, 3551, 3702,
3830, 3934, 4014, 4066, 4092, 4091, 4062, 4006, 3924, 3817,
3686, 3533, 3360, 3170, 2965, 2747, 2520, 2287, 2051, 1814,
1581, 1354, 1136, 931, 740, 567, 413, 282, 174, 91,
35, 5, 2, 27, 79, 157, 260, 387, 537, 706,
894, 1096, 1312, 1537, 1769, 2005, 2241, 2475, 2703, 2922,
3130, 3323, 3499, 3656, 3791, 3903, 3991, 4052, 4087, 4094,
4075, 4028, 3955, 3856, 3734, 3589, 3423, 3239, 3039, 2826,
2603, 2373, 2138, 1901, 1667, 1438, 1217, 1007, 811, 631,
470, 331, 214, 121, 54, 13, 0, 14, 54, 122,
215, 332, 472, 632, 812, 1008, 1218, 1439, 1668, 1902,
2137, 2372, 2602, 2825, 3038, 3238, 3421, 3587, 3732, 3854,
3953, 4027, 4074, 4094, 4087, 4054, 3993, 3907, 3796, 3662,
3507, 3332, 3141, 2934, 2717, 2490, 2257, 2022, 1787, 1555,
1330, 1115, 912, 724, 553, 402, 273, 168, 87, 32,
4, 3, 29, 81, 160, 263, 390, 539, 708, 895,
1097, 1311, 1535, 1766, 2000, 2235, 2468, 2695, 2914, 3121,
3314, 3490, 3647, 3783, 3896, 3985, 4048, 4085, 4095, 4078,
4034, 3964, 3869, 3749, 3608, 3446, 3265, 3068, 2858, 2637,
2409, 2176, 1941, 1707, 1478, 1257, 1045, 848, 665, 501,
358, 237, 139, 67, 20, 1, 8, 42, 102, 188,
299, 432, 587, 761, 951, 1157, 1373, 1599, 1831, 2065,
2299, 2530, 2754, 2969, 3173, 3361, 3532, 3683, 3814, 3920,
4003, 4059, 4090, 4093, 4070, 4020, 3944, 3844, 3720, 3573,
3407, 3224, 3024, 2812, 2590, 2361, 2128, 1894, 1661, 1434,
1215, 1007, 812, 634, 474, 334, 218, 125, 57, 15,
0, 12, 50, 114, 204, 318, 454, 611, 787, 980,
1186, 1404, 1630, 1861, 2095, 2328, 2558, 2781, 2994, 3195,
3381, 3550, 3699, 3826, 3930, 4010, 4064, 4091, 4092, 4066,
4014, 3937, 3834, 3709, 3562, 3395, 3210, 3010, 2798, 2576,
2347, 2114, 1881, 1649, 1423, 1205, 998, 804, 627, 468,
330, 214, 122, 55, 15, 0, 12, 51, 115, 205,
319, 455, 612, 787, 979, 1185, 1402, 1627, 1858, 2091,
2324, 2553, 2776, 2989, 3189, 3375, 3544, 3693, 3821, 3926,
4006, 4061, 4090, 4093, 4069, 4018, 3942, 3842, 3718, 3572,
3407, 3224, 3026, 2816, 2595, 2367, 2135, 1902, 1671, 1445,
1226, 1018, 824, 645, 485, 345, 227, 132, 62, 18,
0, 9, 44, 105, 191, 302, 434, 588, 760, 949,
1153, 1368, 1591, 1821, 2053, 2285, 2515, 2738, 2952, 3155,
3343, 3515, 3667, 3799, 3908, 3993, 4053, 4087, 4094, 4076,
4031, 3960, 3865, 3746, 3606, 3445, 3266, 3072, 2865, 2646,
2421, 2190, 1958, 1726, 1499, 1279, 1069, 871, 689, 524,
379, 255, 155, 78, 28, 3, 4, 32, 85, 164,
268, 394, 541, 708, 892, 1090, 1301, 1522, 1750, 1981,
2213, 2443, 2668, 2884, 3091, 3283, 3460, 3619, 3757, 3874,
3967, 4035, 4078, 4095, 4085, 4050, 3988, 3902, 3792, 3659,
3506, 3335, 3146, 2944, 2730, 2507, 2279, 2047, 1816, 1587,
1365, 1151, 949, 760, 589, 436, 303, 193, 107, 46,
10, 0, 17, 59, 127, 220, 336, 474, 632, 808,
1000, 1205, 1421, 1645, 1874, 2106, 2336, 2563, 2784, 2995,
3194, 3378, 3545, 3693, 3820, 3924, 4005, 4060, 4090, 4093,
4071, 4022, 3949, 3851, 3730, 3588, 3426, 3246, 3052, 2844,
2626, 2401, 2171, 1940, 1710, 1485, 1266, 1058, 862, 682,
519, 375, 252, 153, 77, 27, 3, 4, 32, 85,
163, 265, 390, 536, 701, 883, 1080, 1290, 1509, 1734,
1964, 2195, 2424, 2648, 2865, 3071, 3264, 3442, 3602, 3742,
3860, 3956, 4027, 4073, 4094, 4088, 4057, 4000, 3918, 3813,
3685, 3536, 3369, 3184, 2986, 2775, 2555, 2329, 2099, 1869,
1640, 1417, 1202, 998, 807, 632, 475, 337, 222, 129,
61, 18, 0, 9, 43, 103, 188, 295, 426, 576,
745, 931, 1131, 1342, 1563, 1789, 2019, 2249, 2476, 2698,
2912, 3115, 3305, 3478, 3633, 3769, 3882, 3973, 4039, 4080,
4095, 4084, 4048, 3986, 3900, 3791, 3659, 3508, 3337, 3151,
2950, 2739, 2518, 2292, 2062, 1833, 1606, 1384, 1171, 969,
781, 609, 454, 320, 208, 119, 54, 14, 0, 12,
49, 111, 198, 308, 440, 593, 763, 950, 1150, 1362,
1582, 1809, 2038, 2267, 2494, 2715, 2927, 3129, 3317, 3488,
3642, 3776, 3888, 3977, 4041, 4081, 4095, 4083, 4046, 3984,
3897, 3787, 3655, 3503, 3333, 3147, 2947, 2736, 2516, 2290,
2061, 1832, 1605, 1385, 1172, 971, 783, 611, 457, 323,
210, 121, 55, 15, 0, 11, 47, 108, 194, 303,
433, 584, 753, 939, 1138, 1348, 1568, 1793, 2022, 2250,
2477, 2697, 2910, 3112, 3301, 3474, 3629, 3764, 3878, 3969,
4036, 4078, 4095, 4086, 4052, 3992, 3909, 3802, 3673, 3524,
3357, 3173, 2975, 2766, 2547, 2323, 2095, 1866, 1640, 1419,
1206, 1003, 813, 639, 482, 344, 228, 135, 65, 21,
1, 7, 38, 94, 175, 279, 405, 551, 716, 898,
1094, 1302, 1519, 1742, 1970, 2198, 2424, 2646, 2860, 3065,
3256, 3433, 3592, 3732, 3851, 3948, 4021, 4069, 4093, 4091,
4063, 4011, 3934, 3834, 3712, 3569, 3407, 3228, 3034, 2829,
2613, 2391, 2165, 1936, 1710, 1487, 1272, 1066, 872, 693,
531, 387, 264, 164, 86, 33, 5, 2, 24, 72,
144, 239, 357, 496, 654, 829, 1020, 1223, 1436, 1657,
1882, 2110, 2337, 2560, 2777, 2985, 3181, 3364, 3530, 3677,
3805, 3911, 3993, 4052, 4086, 4095, 4078, 4037, 3970, 3880,
3768, 3634, 3481, 3310, 3123, 2923, 2713, 2494, 2269, 2042,
1815, 1591, 1373, 1162, 963, 777, 607, 455, 322, 210,
121, 56, 16, 0, 10, 45, 104, 187, 294, 421,
569, 735, 917, 1114, 1321, 1538, 1760, 1987, 2214, 2439,
2659, 2871, 3074, 3264, 3438, 3596, 3735, 3853, 3949, 4021,
4069, 4093, 4091, 4064, 4012, 3937, 3838, 3717, 3575, 3415,
3238, 3047, 2843, 2629, 2408, 2183, 1957, 1731, 1509, 1294,
1088, 894, 714, 551, 405, 280, 177, 96, 40, 8,
1, 19, 62, 129, 219, 333, 467, 620, 791, 977,
1176, 1386, 1605, 1828, 2054, 2280, 2503, 2721, 2930, 3129,
3314, 3484, 3636, 3769, 3881, 3970, 4036, 4078, 4095, 4086,
4053, 3996, 3914, 3810, 3684, 3539, 3375, 3195, 3001, 2795,
2580, 2359, 2134, 1908, 1683, 1464, 1251, 1048, 857, 680,
521, 380, 259, 160, 84, 32, 5, 2, 24, 71,
142, 237, 353, 490, 646, 818, 1006, 1207, 1417, 1636,
1859, 2085, 2310, 2532, 2748, 2956, 3152, 3335, 3503, 3652,
3783, 3892, 3978, 4042, 4081, 4095, 4084, 4049, 3990, 3906,
3801, 3674, 3527, 3362, 3182, 2987, 2781, 2567, 2346, 2121,
1896, 1672, 1453, 1241, 1039, 850, 674, 516, 376, 256,
158, 83, 31, 4, 2, 25, 72, 143, 237, 353,
489, 644, 817, 1004, 1204, 1414, 1631, 1854, 2079, 2303,
2525, 2741, 2948, 3144, 3328, 3495, 3645, 3776, 3886, 3974,
4038, 4079, 4095, 4086, 4052, 3995, 3914, 3810, 3685, 3540,
3378, 3199, 3006, 2802, 2589, 2369, 2145, 1921, 1697, 1478,
1266, 1063, 872, 696, 535, 393, 271, 170, 92, 37,
7, 1, 20, 63, 130, 220, 332, 465, 617, 786,
970, 1167, 1375, 1591, 1812, 2036, 2260, 2482, 2698, 2907,
3105, 3291, 3461, 3615, 3750, 3864, 3956, 4026, 4072, 4093,
4090, 4063, 4011, 3935, 3837, 3718, 3578, 3420, 3246, 3057,
2857, 2646, 2428, 2206, 1982, 1759, 1539, 1325, 1120, 926,
746, 581, 433, 305, 198, 113, 51, 14, 0, 11,
46, 106, 188, 293, 419, 564, 727, 906, 1098, 1302,
1515, 1734, 1956, 2180, 2403, 2621, 2832, 3033, 3223, 3399,
3559, 3701, 3823, 3923, 4002, 4057, 4088, 4094, 4077, 4035,
3969, 3880, 3770, 3639, 3489, 3321, 3139, 2944, 2738, 2523,
2303, 2080, 1857, 1636, 1420, 1211, 1012, 826, 654, 499,
362, 246, 150, 78, 29, 3, 3, 26, 74, 145,
239, 354, 489, 643, 814, 999, 1197, 1404, 1620, 1840,
2063, 2286, 2506, 2721, 2927, 3123, 3306, 3474, 3626, 3758,
3871, 3961, 4029, 4073, 4094, 4090, 4061, 4009, 3934, 3836,
3717, 3578, 3421, 3248, 3061, 2861, 2652, 2436, 2215, 1992,
1770, 1551, 1338, 1134, 940, 760, 594, 446, 317, 208,
121, 57, 17, 0, 8, 40, 96, 174, 275, 397,
538, 697, 873, 1062, 1262, 1472, 1689, 1910, 2132, 2354,
2572, 2783, 2986, 3178, 3357, 3520, 3666, 3792, 3898, 3982,
4043, 4081, 4095, 4085, 4050, 3992, 3911, 3808, 3684, 3541,
3381, 3204, 3014, 2813, 2603, 2386, 2165, 1943, 1722, 1504,
1294, 1092, 901, 724, 563, 419, 294, 190, 107, 48,
12, 0, 12, 48, 108, 190, 294, 419, 563, 724,
901, 1092, 1293, 1504, 1720, 1941, 2163, 2384, 2600, 2810,
3011, 3201, 3377, 3538, 3681, 3805, 3908, 3990, 4048, 4084,
4095, 4082, 4046, 3986, 3903, 3799, 3674, 3530, 3368, 3191,
3001, 2800, 2589, 2373, 2152, 1931, 1711, 1494, 1285, 1084,
894, 718, 558, 415, 291, 188, 106, 47, 12, 0,
12, 48, 108, 190, 294, 418, 561, 722, 898, 1088,
1289, 1498, 1715, 1934, 2156, 2376, 2592, 2802, 3003, 3192,
3369, 3530, 3673, 3798, 3902, 3985, 4045, 4082, 4095, 4084,
4050, 3992, 3911, 3809, 3686, 3544, 3385, 3210, 3021, 2822,
2613, 2398, 2178, 1957, 1737, 1521, 1311, 1110, 919, 741,
579, 434, 308, 202, 117, 55, 16, 0, 9, 41,
96, 174, 274, 395, 534, 691, 864, 1051, 1249, 1457,
1671, 1890, 2110, 2330, 2547, 2757, 2960, 3152, 3331, 3495,
3642, 3771, 3880, 3968, 4033, 4075, 4094, 4089, 4061, 4009,
3934, 3838, 3720, 3584, 3429, 3259, 3075, 2878, 2673, 2460,
2242, 2022, 1802, 1585, 1373, 1170, 976, 795, 628, 478,
346, 233, 142, 73, 26, 3, 3, 27, 75, 145,
237, 350, 483, 633, 800, 982, 1175, 1379, 1591, 1807,
2027, 2247, 2464, 2677, 2882, 3078, 3261, 3431, 3585, 3721,
3838, 3934, 4009, 4060, 4089, 4094, 4076, 4034, 3969, 3882,
3774, 3646, 3500, 3337, 3159, 2969, 2768, 2558, 2343, 2124,
1905, 1687, 1473, 1266, 1068, 881, 707, 549, 408, 287,
185, 105, 47, 12, 0, 12, 47, 106, 186, 288,
410, 551, 709, 883, 1069, 1267, 1474, 1688, 1905, 2125,
2343, 2558, 2767, 2968, 3158, 3336, 3498, 3645, 3772, 3880,
3967, 4032, 4075, 4094, 4089, 4062, 4011, 3938, 3843, 3727,
3593, 3440, 3272, 3090, 2896, 2692, 2480, 2264, 2046, 1827,
1611, 1400, 1196, 1002, 820, 652, 500, 366, 251, 156,
83, 33, 5, 1, 20, 63, 128, 214, 322, 450,
595, 758, 934, 1124, 1324, 1533, 1747, 1964, 2183, 2400,
2613, 2820, 3017, 3204, 3378, 3536, 3677, 3800, 3903, 3985,
4044, 4081, 4095, 4085, 4053, 3997, 3919, 3820, 3701, 3563,
3408, 3237, 3053, 2857, 2653, 2441, 2225, 2007, 1789, 1574,
1365, 1163, 972, 792, 627, 479, 347, 236, 145, 75,
28, 3, 2, 25, 70, 137, 226, 336, 465, 613,
776, 954, 1144, 1345, 1553, 1767, 1984, 2202, 2418, 2630,
2835, 3032, 3217, 3389, 3546, 3685, 3807, 3908, 3988, 4047,
4082, 4095, 4084, 4051, 3995, 3917, 3817, 3698, 3560, 3405,
3234, 3050, 2855, 2651, 2440, 2224, 2007, 1790, 1576, 1367,
1166, 975, 796, 631, 482, 351, 239, 147, 77, 29,
4, 2, 23, 67, 133, 220, 329, 456, 602, 764,
940, 1129, 1328, 1535, 1748, 1964, 2182, 2397, 2609, 2815,
3011, 3197, 3370, 3528, 3670, 3793, 3897, 3979, 4040, 4079,
4095, 4087, 4057, 4004, 3930, 3834, 3718, 3583, 3431, 3263,
3082, 2889, 2687, 2478, 2263, 2047, 1830, 1616, 1407, 1204,
1012, 831, 663, 512, 377, 261, 165, 91, 38, 8,
0, 16, 54, 115, 197, 300, 423, 564, 721, 894,
1079, 1275, 1479, 1690, 1905, 2122, 2338, 2550, 2757, 2956,
3145, 3321, 3483, 3629, 3758, 3867, 3956, 4024, 4069, 4092,
4092, 4069, 4024, 3957, 3868, 3759, 3631, 3485, 3323, 3147,
2958, 2760, 2553, 2341, 2126, 1910, 1695, 1484, 1280, 1084,
899, 726, 569, 428, 305, 201, 118, 57, 17, 1,
7, 36, 87, 160, 254, 368, 501, 651, 816, 995,
1186, 1387, 1594, 1807, 2023, 2239, 2452, 2661, 2863, 3057,
3239, 3407, 3561, 3698, 3816, 3915, 3993, 4049, 4083, 4095,
4084, 4050, 3994, 3916, 3818, 3700, 3564, 3410, 3242, 3061,
2868, 2666, 2457, 2244, 2029, 1814, 1601, 1393, 1193, 1002,
823, 657, 507, 374, 259, 164, 90, 38, 8, 0,
16, 53, 113, 194, 296, 417, 556, 711, 882, 1065,
1259, 1462, 1671, 1884, 2099, 2314, 2526, 2732, 2931, 3120,
3297, 3460, 3608, 3739, 3850, 3942, 4013, 4062, 4089, 4094,
4076, 4035, 3973, 3889, 3785, 3662, 3521, 3364, 3193, 3008,
2813, 2610, 2401, 2187, 1972, 1758, 1548, 1342, 1145, 957,
781, 620, 474, 345, 235, 146, 77, 29, 4, 2,
22, 64, 128, 213, 318, 443, 584, 742, 915, 1100,
1295, 1498, 1708, 1921, 2135, 2349, 2559, 2764, 2961, 3147,
3322, 3483, 3628, 3755, 3864, 3953, 4021, 4067, 4091, 4093,
4072, 4029, 3965, 3879, 3773, 3649, 3507, 3349, 3176, 2992,
2796, 2593, 2384, 2171, 1957, 1744, 1534, 1329, 1133, 947,
772, 612, 467, 340, 231, 143, 75, 28, 4, 2,
22, 65, 129, 214, 319, 443, 585, 742, 914, 1098,
1293, 1496, 1704, 1917, 2131, 2344, 2553, 2758, 2954, 3141,
3315, 3476, 3621, 3749, 3859, 3948, 4017, 4065, 4090, 4094,
4075, 4033, 3971, 3887, 3783, 3661, 3521, 3364, 3194, 3011,
2817, 2615, 2407, 2195, 1982, 1769, 1559, 1355, 1158, 971,
795, 633, 487, 357, 246, 155, 84, 34, 6, 1,
17, 56, 116, 198, 299, 419, 557, 711, 880, 1061,
1253, 1454, 1661, 1872, 2085, 2298, 2508, 2713, 2911, 3099,
3276, 3439, 3588, 3720, 3834, 3928, 4002, 4055, 4086, 4095,
4082, 4047, 3990, 3912, 3814, 3697, 3562, 3411, 3244, 3065,
2875, 2677, 2471, 2260, 2048, 1835, 1625, 1419, 1220, 1030,
851, 685, 534, 399, 282, 184, 106, 49, 14, 0,
9, 39, 92, 165, 259, 372, 503, 651, 813, 989,
1177, 1374, 1578, 1787, 1999, 2211, 2422, 2629, 2829, 3021,
3202, 3371, 3526, 3665, 3786, 3889, 3972, 4034, 4075, 4094,
4090, 4065, 4019, 3951, 3862, 3754, 3628, 3485, 3326, 3154,
2969, 2775, 2573, 2366, 2154, 1942, 1731, 1524, 1322, 1127,
943, 771, 612, 469, 342, 234, 145, 77, 30, 5,
1, 20, 60, 121, 203, 305, 426, 564, 718, 886,
1066, 1257, 1456, 1662, 1872, 2084, 2295, 2504, 2708, 2904,
3092, 3268, 3431, 3580, 3712, 3826, 3921, 3997, 4051, 4084,
4095, 4084, 4052, 3998, 3923, 3828, 3714, 3583, 3435, 3272,
3096, 2909, 2713, 2510, 2301, 2090, 1879, 1669, 1464, 1264,
1074, 893, 725, 571, 432, 311, 209, 126, 63, 22,
2, 4, 28, 73, 139, 226, 332, 456, 597, 754,
924, 1107, 1299, 1500, 1706, 1915, 2127, 2337, 2544, 2746,
2940, 3125, 3299, 3459, 3604, 3733, 3844, 3935, 4007, 4058,
4087, 4095, 4081, 4045, 3988, 3911, 3814, 3698, 3565, 3415,
3251, 3074, 2887, 2690, 2487, 2279, 2068, 1858, 1649, 1445,
1247, 1057, 878, 712, 559, 423, 303, 202, 121, 60,
20, 1, 5, 29, 75, 142, 230, 336, 461, 602,
758, 929, 1111, 1302, 1502, 1708, 1917, 2127, 2337, 2543,
2745, 2939, 3123, 3296, 3456, 3601, 3730, 3841, 3933, 4005,
4056, 4086, 4095, 4082, 4048, 3992, 3916, 3820, 3706, 3574,
3426, 3264, 3089, 2902, 2707, 2505, 2298, 2088, 1878, 1670,
1466, 1268, 1078, 898, 731, 577, 439, 317, 214, 131,
67, 24, 3, 3, 24, 67, 131, 214, 317, 438,
577, 730, 897, 1077, 1266, 1464, 1668, 1876, 2086, 2295,
2502, 2704, 2899, 3085, 3260, 3422, 3570, 3702, 3817, 3913,
3989, 4046, 4081, 4095, 4087, 4058, 4008, 3938, 3847, 3738,
3611, 3468, 3310, 3139, 2956, 2764, 2564, 2359, 2150, 1941,
1733, 1528, 1328, 1136, 954, 783, 625, 482, 355, 246,
156, 86, 36, 8, 0, 14, 49, 105, 182, 278,
392, 523, 671, 833, 1007, 1192, 1387, 1588, 1794, 2002,
2211, 2418, 2622, 2819, 3009, 3188, 3355, 3509, 3648, 3770,
3873, 3958, 4023, 4068, 4091, 4093, 4074, 4034, 3973, 3892,
3792, 3673, 3538, 3387, 3223, 3046, 2859, 2663, 2461, 2254,
2046, 1838, 1631, 1429, 1234, 1047, 870, 706, 555, 420,
302, 202, 122, 61, 21, 2, 4, 27, 71, 136,
221, 324, 446, 584, 737, 904, 1082, 1271, 1467, 1670,
1877, 2085, 2293, 2498, 2699, 2893, 3078, 3252, 3414, 3562,
3694, 3809, 3906, 3984, 4041, 4078, 4094, 4089, 4063, 4016,
3948, 3861, 3755, 3632, 3492, 3337, 3169, 2989, 2800, 2602,
2400, 2193, 1985, 1778, 1573, 1373, 1181, 997, 824, 664,
518, 388, 275, 180, 104, 49, 14, 0, 7, 36,
85, 154, 243, 350, 475, 615, 771, 940, 1120, 1310,
1507, 1710, 1916, 2124, 2331, 2535, 2734, 2926, 3109, 3280,
3440, 3585, 3714, 3826, 3919, 3994, 4048, 4082, 4095, 4087,
4058, 4008, 3938, 3849, 3741, 3616, 3475, 3319, 3150, 2970,
2781, 2584, 2381, 2175, 1968, 1761, 1557, 1359, 1168, 985,
814, 655, 510, 381, 270, 176, 102, 47, 13, 0,
8, 37, 86, 155, 244, 351, 476, 616, 772, 940,
1120, 1309, 1505, 1707, 1913, 2120, 2326, 2529, 2728, 2919,
3102, 3274, 3433, 3578, 3707, 3820, 3914, 3990, 4045, 4080,
4095, 4088, 4061, 4013, 3945, 3858, 3752, 3629, 3490, 3336,
3169, 2990, 2802, 2607, 2405, 2200, 1994, 1788, 1584, 1386,
1194, 1010, 838, 678, 531, 400, 286, 190, 113, 55,
18, 1, 5, 30, 75, 141, 226, 329, 450, 587,
738, 904, 1080, 1267, 1461, 1662, 1866, 2072, 2278, 2482,
2681, 2873, 3058, 3232, 3394, 3542, 3675, 3792, 3891, 3971,
4032, 4073, 4093, 4092, 4071, 4029, 3967, 3886, 3786, 3668,
3534, 3385, 3223, 3048, 2864, 2671, 2472, 2269, 2063, 1857,
1654, 1454, 1260, 1074, 898, 734, 583, 446, 326, 224,
140, 75, 30, 5, 1, 18, 55, 112, 189, 284,
398, 528, 673, 832, 1004, 1186, 1376, 1574, 1776, 1981,
2186, 2391, 2591, 2786, 2974, 3152, 3320, 3474, 3614, 3738,
3846, 3935, 4005, 4055, 4085, 4095, 4084, 4053, 4001, 3930,
3840, 3731, 3606, 3465, 3310, 3143, 2964, 2776, 2581, 2380,
2176, 1971, 1766, 1565, 1368, 1178, 997, 826, 668, 524,
394, 282, 187, 111, 54, 17, 1, 5, 30, 75,
139, 223, 325, 444, 580, 730, 893, 1068, 1253, 1445,
1644, 1846, 2051, 2256, 2458, 2656, 2849, 3033, 3207, 3370,
3520, 3654, 3773, 3875, 3958, 4022, 4066, 4090, 4094, 4077,
4040, 3983, 3907, 3812, 3700, 3571, 3427, 3269, 3099, 2918,
2729, 2533, 2332, 2128, 1924, 1720, 1520, 1326, 1138, 960,
792, 637, 496, 371, 262, 171, 99, 46, 13, 0,
8, 36, 84, 152, 238, 343, 464, 601, 753, 918,
1093, 1278, 1471, 1670, 1872, 2076, 2280, 2481, 2678, 2869,
3052, 3225, 3385, 3533, 3666, 3783, 3882, 3964, 4026, 4069,
4091, 4093, 4075, 4037, 3979, 3902, 3807, 3694, 3565, 3421,
3263, 3093, 2913, 2724, 2528, 2328, 2125, 1921, 1719, 1519,
1325, 1139, 961, 794, 639, 498, 373, 264, 173, 100,
47, 14, 0, 7, 34, 81, 148, 233, 336, 456,
592, 742, 905, 1079, 1263, 1454, 1652, 1853, 2056, 2260,
2461, 2658, 2849, 3032, 3205, 3367, 3515, 3650, 3768, 3870,
3954, 4018, 4064, 4089, 4094, 4080, 4045, 3990, 3917, 3824,
3715, 3589, 3448, 3293, 3126, 2948, 2761, 2567, 2369, 2167,
1964, 1761, 1562, 1367, 1179, 1000, 831, 674, 530, 402,
289, 194, 117, 59, 20, 2, 3, 25, 66, 127,
207, 305, 420, 551, 696, 855, 1026, 1206, 1395, 1590,
1790, 1992, 2194, 2396, 2594, 2786, 2971, 3147, 3313, 3466,
3605, 3728, 3836, 3926, 3997, 4049, 4082, 4095, 4088, 4060,
4013, 3947, 3863, 3760, 3641, 3506, 3357, 3195, 3022, 2840,
2650, 2453, 2253, 2051, 1849, 1649, 1453, 1262, 1079, 906,
744, 594, 459, 339, 236, 151, 84, 36, 8, 0,
12, 43, 95, 165, 253, 359, 482, 619, 771, 935,
1110, 1294, 1485, 1682, 1882, 2084, 2286, 2485, 2680, 2869,
3050, 3221, 3380, 3527, 3659, 3776, 3875, 3957, 4021, 4065,
4090, 4094, 4079, 4044, 3990, 3917, 3826, 3717, 3592, 3453,
3299, 3134, 2958, 2773, 2581, 2384, 2183, 1982, 1781, 1582,
1389, 1201, 1022, 853, 695, 550, 420, 306, 209, 129,
68, 26, 4, 1, 19, 56, 112, 187, 280, 390,
516, 657, 812, 978, 1155, 1340, 1532, 1729, 1929, 2130,
2331, 2529, 2722, 2908, 3086, 3255, 3411, 3554, 3683, 3796,
3892, 3971, 4030, 4071, 4092, 4093, 4075, 4037, 3980, 3904,
3810, 3699, 3573, 3432, 3277, 3110, 2934, 2749, 2557, 2360,
2160, 1959, 1759, 1562, 1369, 1183, 1005, 838, 682, 539,
410, 298, 202, 124, 65, 24, 3, 2, 20, 58,
115, 191, 284, 394, 520, 661, 815, 981, 1158, 1342,
1534, 1730, 1930, 2130, 2330, 2527, 2719, 2905, 3083, 3251,
3407, 3550, 3679, 3792, 3889, 3967, 4028, 4069, 4091, 4094,
4076, 4040, 3984, 3910, 3818, 3709, 3584, 3444, 3292, 3127,
2952, 2768, 2577, 2381, 2182, 1982, 1783, 1586, 1393, 1207,
1029, 860, 703, 559, 428, 314, 216, 135, 73, 30,
5, 1, 16, 50, 103, 175, 265, 371, 494, 631,
782, 946, 1119, 1301, 1491, 1686, 1884, 2084, 2283, 2480,
2673, 2860, 3039, 3209, 3368, 3514, 3647, 3764, 3864, 3948,
4013, 4059, 4087, 4095, 4084, 4053, 4003, 3935, 3848, 3745,
3625, 3491, 3342, 3182, 3010, 2830, 2642, 2449, 2251, 2052,
1853, 1655, 1462, 1274, 1093, 921, 760, 611, 476, 356,
252, 165, 95, 45, 13, 0, 7, 33, 79, 142,
224, 324, 439, 570, 715, 872, 1040, 1218, 1404, 1596,
1792, 1991, 2190, 2387, 2582, 2771, 2954, 3128, 3292, 3444,
3583, 3707, 3815, 3907, 3982, 4038, 4075, 4093, 4092, 4071,
4032, 3974, 3897, 3803, 3693, 3567, 3426, 3273, 3108, 2933,
2750, 2560, 2366, 2168, 1969, 1771, 1576, 1385, 1200, 1024,
857, 701, 558, 429, 315, 217, 137, 75, 31, 6,
0, 14, 47, 98, 168, 256, 360, 481, 616, 764,
924, 1095, 1275, 1463, 1655, 1852, 2050, 2248, 2444, 2637,
2824, 3003, 3174, 3334, 3482, 3617, 3737, 3841, 3928, 3997,
4049, 4081, 4095, 4089, 4064, 4020, 3958, 3878, 3781, 3667,
3539, 3396, 3241, 3074, 2899, 2715, 2524, 2330, 2133, 1935,
1738, 1544, 1354, 1171, 997, 832, 679, 538, 412, 300,
205, 128, 68, 27, 4, 1, 17, 52, 105, 176,
265, 371, 492, 628, 777, 938, 1109, 1289, 1476, 1668,
1864, 2061, 2258, 2454, 2645, 2831, 3010, 3180, 3339, 3486,
3620, 3739, 3842, 3929, 3998, 4049, 4081, 4095, 4089, 4064,
4021, 3959, 3880, 3783, 3671, 3543, 3401, 3247, 3082, 2907,
2724, 2535, 2341, 2145, 1948, 1751, 1558, 1369, 1186, 1011,
846, 692, 551, 423, 311, 215, 135, 74, 31, 6,
0, 14, 46, 97, 165, 252, 354, 473, 606, 752,
911, 1080, 1258, 1443, 1633, 1828, 2025, 2221, 2416, 2608,
2795, 2974, 3145, 3306, 3456, 3592, 3714, 3820, 3910, 3983,
4038, 4075, 4093, 4092, 4072, 4034, 3977, 3902, 3811, 3703,
3579, 3442, 3292, 3130, 2958, 2778, 2592, 2400, 2205, 2008,
1812, 1618, 1428, 1244, 1067, 900, 742, 597, 465, 348,
246, 161, 94, 44, 13, 0, 7, 32, 75, 137,
216, 312, 424, 551, 692, 845, 1009, 1183, 1365, 1553,
1745, 1940, 2136, 2332, 2524, 2713, 2895, 3069, 3234, 3389,
3530, 3659, 3772, 3870, 3951, 4014, 4060, 4087, 4095, 4085,
4055, 4008, 3942, 3860, 3760, 3645, 3516, 3372, 3217, 3051,
2876, 2693, 2505, 2312, 2117, 1921, 1727, 1535, 1348, 1167,
995, 832, 680, 541, 415, 305, 210, 132, 72, 30,
6, 0, 14, 46, 96, 164, 249, 351, 468, 599,
744, 901, 1068, 1244, 1427, 1616, 1809, 2003, 2199, 2393,
2584, 2770, 2949, 3120, 3281, 3431, 3569, 3693, 3801, 3894,
3970, 4028, 4069, 4091, 4094, 4079, 4045, 3993, 3924, 3837,
3735, 3616, 3484, 3339, 3182, 3014, 2838, 2655, 2466, 2273,
2078, 1883, 1690, 1500, 1315, 1136, 966, 805, 656, 520,
397, 289, 197, 122, 65, 25, 4, 1, 17, 51,
103, 173, 260, 363, 481, 614, 759, 916, 1083, 1259,
1442, 1631, 1823, 2017, 2212, 2405, 2595, 2780, 2958, 3128,
3288, 3437, 3574, 3696, 3804, 3896, 3971, 4029, 4069, 4091,
4094, 4079, 4045, 3994, 3925, 3839, 3736, 3619, 3487, 3343,
3187, 3020, 2845, 2663, 2475, 2283, 2089, 1895, 1702, 1512,
1327, 1149, 979, 818, 668, 531, 408, 299, 206, 129,
70, 29, 5, 0, 14, 46, 95, 163, 247, 347,
463, 593, 736, 890, 1056, 1229, 1411, 1598, 1789, 1982,
2176, 2369, 2559, 2744, 2923, 3094, 3256, 3407, 3545, 3671,
3781, 3877, 3955, 4017, 4061, 4087, 4095, 4084, 4056, 4009,
3944, 3863, 3766, 3653, 3525, 3385, 3232, 3069, 2897, 2717,
2532, 2342, 2149, 1955, 1763, 1573, 1387, 1207, 1034, 871,
718, 577, 449, 335, 237, 155, 90, 42, 12, 0,
7, 31, 74, 134, 212, 306, 415, 539, 676, 825,
986, 1155, 1333, 1517, 1706, 1898, 2091, 2283, 2474, 2661,
2842, 3017, 3182, 3338, 3482, 3613, 3730, 3833, 3919, 3989,
4042, 4077, 4093, 4092, 4073, 4035, 3980, 3908, 3819, 3714,
3595, 3462, 3316, 3159, 2993, 2818, 2636, 2449, 2258, 2065,
1873, 1682, 1494, 1311, 1134, 966, 808, 660, 524, 403,
295, 203, 128, 69, 29, 5, 0, 14, 45, 94,
160, 242, 341, 455, 583, 724, 876, 1039, 1211, 1390,
1575, 1764, 1956, 2149, 2340, 2529, 2714, 2892, 3064, 3226,
3378, 3518, 3645, 3758, 3856, 3938, 4004, 4052, 4082, 4095,
4089, 4066, 4024, 3965, 3890, 3798, 3690, 3569, 3434, 3286,
3128, 2960, 2784, 2602, 2415, 2225, 2033, 1841, 1651, 1464,
1283, 1109, 942, 786, 640, 507, 388, 283, 193, 120,
64, 25, 4, 1, 16, 49, 99, 166, 250, 350,
464, 593, 734, 887, 1049, 1221, 1400, 1584, 1773, 1964,
2156, 2346, 2534, 2718, 2896, 3067, 3228, 3379, 3519, 3645,
3758, 3856, 3938, 4003, 4051, 4082, 4095, 4090, 4067, 4026,
3968, 3894, 3803, 3697, 3576, 3442, 3296, 3139, 2973, 2798,
2617, 2431, 2242, 2051, 1860, 1670, 1484, 1303, 1128, 961,
804, 658, 524, 403, 296, 205, 130, 71, 30, 6,
0, 12, 42, 89, 153, 234, 330, 442, 567, 705,
855, 1015, 1185, 1361, 1544, 1731, 1921, 2112, 2302, 2490,
2674, 2853, 3025, 3188, 3342, 3484, 3613, 3729, 3831, 3917,
3986, 4039, 4075, 4093, 4093, 4075, 4040, 3988, 3919, 3833,
3732, 3617, 3488, 3346, 3193, 3030, 2859, 2681, 2497, 2309,
2120, 1929, 1740, 1553, 1370, 1194, 1024, 864, 714, 575,
449, 337, 240, 159, 93, 45, 14, 1, 5, 27,
66, 123, 196, 285, 389, 508, 640, 784, 939, 1103,
1276, 1455, 1639, 1827, 2017, 2207, 2396, 2581, 2762, 2937,
3105, 3263, 3410, 3546, 3669, 3778, 3872, 3950, 4012, 4057,
4085, 4095, 4087, 4062, 4020, 3961, 3885, 3793, 3687, 3566,
3432, 3287, 3130, 2965, 2791, 2612, 2427, 2239, 2049, 1860,
1672, 1487, 1307, 1134, 968, 812, 666, 532, 411, 304,
212, 136, 77, 34, 8, 0, 9, 36, 81, 142,
219, 312, 420, 542, 676, 823, 980, 1146, 1319, 1499,
1684, 1872, 2061, 2250, 2438, 2622, 2801, 2973, 3138, 3293,
3438, 3571, 3691, 3797, 3887, 3962, 4021, 4063, 4088, 4095,
4085, 4057, 4012, 3951, 3873, 3780, 3671, 3549, 3415, 3268,
3111, 2945, 2772, 2592, 2408, 2220, 2032, 1843, 1656, 1472,
1294, 1121, 957, 802, 657, 525, 405, 299, 209, 133,
75, 33, 8, 0, 10, 37, 81, 142, 219, 312,
419, 541, 675, 820, 976, 1142, 1315, 1494, 1677, 1864,
2053, 2241, 2428, 2611, 2790, 2962, 3127, 3282, 3427, 3561,
3681, 3788, 3880, 3956, 4016, 4059, 4086, 4095, 4087, 4061,
4019, 3960, 3884, 3793, 3688, 3568, 3436, 3291, 3137, 2973,
2801, 2623, 2440, 2254, 2066, 1878, 1691, 1508, 1329, 1156,
990, 834, 688, 553, 431, 322, 228, 150, 87, 41,
12, 0, 6, 28, 68, 124, 197, 285, 388, 505,
635, 777, 929, 1091, 1261, 1438, 1619, 1805, 1992, 2180,
2366, 2550, 2730, 2904, 3071, 3229, 3377, 3514, 3639, 3750,
3847, 3929, 3995, 4045, 4078, 4093, 4092, 4074, 4038, 3986,
3917, 3833, 3734, 3620, 3494, 3355, 3206, 3046, 2878, 2704,
2524, 2340, 2153, 1965, 1779, 1594, 1414, 1238, 1070, 909,
758, 618, 490, 375, 274, 188, 118, 63, 25, 4,
1, 14, 44, 91, 155, 234, 328, 437, 559, 694,
840, 996, 1161, 1333, 1511, 1694, 1879, 2066, 2253, 2438,
2620, 2797, 2967, 3130, 3284, 3428, 3560, 3680, 3786, 3877,
3953, 4014, 4058, 4085, 4095, 4088, 4064, 4024, 3966, 3893,
3805, 3702, 3585, 3455, 3314, 3162, 3001, 2832, 2656, 2476,
2292, 2105, 1919, 1733, 1550, 1372, 1198, 1032, 875, 727,
590, 465, 353, 256, 173, 106, 55, 20, 2, 2,
18, 51, 101, 167, 248, 344, 455, 578, 714, 861,
1017, 1182, 1355, 1533, 1715, 1900, 2086, 2272, 2456, 2637,
2813, 2982, 3144, 3296, 3438, 3569, 3687, 3792, 3882, 3957,
4016, 4059, 4085, 4095, 4088, 4063, 4022, 3965, 3892, 3804,
3701, 3585, 3455, 3315, 3164, 3003, 2835, 2660, 2481, 2297,
2112, 1926, 1741, 1559, 1381, 1208, 1042, 884, 736, 599,
474, 362, 263, 180, 111, 59, 23, 4, 1, 15,
46, 94, 157, 236, 330, 438, 560, 693, 838, 992,
1155, 1326, 1502, 1683, 1867, 2053, 2238, 2422, 2602, 2778,
2948, 3111, 3265, 3409, 3542, 3662, 3769, 3863, 3941, 4004,
4050, 4081, 4094, 4091, 4071, 4035, 3982, 3914, 3830, 3731,
3619, 3494, 3357, 3210, 3053, 2887, 2715, 2538, 2356, 2172,
1987, 1802, 1620, 1441, 1267, 1099, 939, 788, 648, 518,
402, 298, 210, 136, 77, 35, 9, 0, 8, 32,
72, 129, 201, 289, 390, 505, 633, 772, 922, 1081,
1248, 1421, 1599, 1781, 1965, 2150, 2333, 2515, 2693, 2865,
3031, 3189, 3337, 3475, 3602, 3715, 3816, 3901, 3972, 4027,
4066, 4089, 4095, 4084, 4057, 4014, 3954, 3879, 3790, 3686,
3568, 3439, 3298, 3147, 2987, 2820, 2646, 2468, 2286, 2102,
1918, 1734, 1554, 1377, 1206, 1041, 885, 738, 602, 478,
366, 268, 184, 115, 62, 25, 5, 1, 13, 42,
87, 148, 224, 315, 420, 539, 669, 810, 962, 1122,
1290, 1464, 1642, 1824, 2007, 2191, 2374, 2554, 2730, 2900,
3064, 3219, 3365, 3500, 3624, 3735, 3832, 3915, 3983, 4035,
4071, 4091, 4094, 4081, 4052, 4006, 3945, 3868, 3777, 3672,
3554, 3423, 3282, 3131, 2971, 2803, 2630, 2452, 2270, 2087,
1904, 1721, 1542, 1366, 1196, 1033, 878, 732, 597, 473,
362, 265, 182, 114, 62, 25, 5, 1, 13, 42,
86, 147, 223, 313, 417, 535, 664, 804, 955, 1114,
1281, 1453, 1631, 1812, 1994, 2177, 2360, 2539, 2715, 2885,
3048, 3204, 3350, 3486, 3611, 3722, 3821, 3905, 3975, 4029,
4067, 4089, 4095, 4084, 4058, 4015, 3956, 3882, 3794, 3692,
3576, 3449, 3310, 3161, 3003, 2838, 2667, 2490, 2310, 2128,
1945, 1763, 1584, 1408, 1237, 1073, 916, 768, 631, 505,
391, 290, 204, 132, 75, 34, 9, 0, 7, 31,
71, 126, 197, 282, 381, 494, 619, 755, 902, 1057,
1220, 1390, 1566, 1745, 1926, 2108, 2290, 2470, 2647, 2818,
2984, 3142, 3292, 3431, 3560, 3677, 3781, 3871, 3946, 4007,
4052, 4081, 4094, 4091, 4072, 4037, 3986, 3919, 3838, 3743,
3634, 3513, 3380, 3237, 3084, 2923, 2755, 2582, 2404, 2224,
2042, 1860, 1680, 1503, 1330, 1162, 1002, 850, 707, 575,
455, 347, 253, 172, 107, 56, 22, 3, 1, 15,
44, 90, 151, 227, 317, 420, 537, 665, 805, 954,
1112, 1277, 1448, 1623, 1803, 1984, 2165, 2346, 2524, 2698,
2868, 3031, 3186, 3332, 3468, 3593, 3706, 3806, 3892, 3963,
4020, 4061, 4086, 4095, 4088, 4065, 4027, 3972, 3903, 3819,
3721, 3611, 3488, 3353, 3209, 3055, 2893, 2725, 2552, 2374,
2194, 2013, 1833, 1654, 1478, 1306, 1140, 982, 831, 691,
560, 442, 336, 243, 165, 101, 53, 20, 3, 1,
16, 47, 93, 155, 231, 322, 426, 542, 671, 810,
958, 1116, 1280, 1450, 1626, 1804, 1984, 2165, 2345, 2522,
2696, 2865, 3027, 3182, 3327, 3463, 3588, 3701, 3801, 3887,
3959, 4016, 4058, 4084, 4095, 4089, 4068, 4031, 3978, 3910,
3828, 3733, 3624, 3502, 3370, 3227, 3075, 2916, 2749, 2577,
2401, 2222, 2042, 1862, 1683, 1507, 1335, 1169, 1010, 859,
717, 585, 465, 357, 262, 181, 114, 62, 26, 5,
0, 11, 38, 80, 138, 210, 297, 397, 509, 634,
770, 915, 1069, 1231, 1399, 1572, 1749, 1928, 2108, 2287,
2465, 2639, 2809, 2973, 3129, 3278, 3417, 3545, 3662, 3766,
3857, 3934, 3997, 4044, 4076, 4093, 4093, 4078, 4048, 4001,
3940, 3865, 3775, 3672, 3556, 3429, 3292, 3144, 2989, 2826,
2657, 2483, 2306, 2127, 1948, 1769, 1592, 1419, 1251, 1089,
934, 788, 651, 526, 412, 310, 222, 148, 88, 44,
15, 1, 3, 21, 54, 103, 167, 245, 336, 441,
558, 687, 826, 974, 1131, 1295, 1464, 1638, 1815, 1993,
2172, 2351, 2526, 2698, 2866, 3026, 3180, 3325, 3459, 3584,
3696, 3796, 3882, 3954, 4012, 4055, 4083, 4094, 4091, 4071,
4037, 3987, 3922, 3843, 3750, 3644, 3527, 3397, 3258, 3109,
2952, 2789, 2620, 2446, 2269, 2091, 1912, 1735, 1559, 1388,
1221, 1061, 909, 765, 630, 507, 395, 296, 210, 139,
81, 39, 12, 0, 4, 24, 59, 109, 174, 253,
345, 451, 568, 697, 836, 985, 1141, 1304, 1473, 1646,
1822, 2000, 2179, 2356, 2531, 2702, 2868, 3028, 3181, 3325,
3459, 3583, 3695, 3794, 3880, 3953, 4011, 4054, 4082, 4094,
4091, 4073, 4039, 3990, 3927, 3849, 3758, 3653, 3537, 3409,
3271, 3124, 2969, 2807, 2639, 2466, 2291, 2113, 1935, 1758,
1583, 1412, 1246, 1085, 932, 787, 652, 527, 414, 313,
225, 151, 91, 46, 16, 2, 2, 18, 50, 96,
157, 233, 322, 424, 538, 664, 799, 945, 1098, 1259,
1426, 1597, 1772, 1949, 2126, 2303, 2478, 2650, 2817, 2978,
3133, 3279, 3416, 3543, 3658, 3761, 3852, 3929, 3992, 4040,
4073, 4091, 4094, 4082, 4054, 4011, 3954, 3882, 3796, 3698,
3587, 3464, 3331, 3188, 3037, 2878, 2713, 2544, 2370, 2194,
2017, 1840, 1665, 1493, 1325, 1162, 1006, 857, 718, 588,
470, 363, 269, 188, 121, 68, 30, 8, 0, 8,
31, 69, 121, 188, 269, 364, 470, 589, 718, 857,
1006, 1161, 1324, 1492, 1664, 1838, 2015, 2191, 2367, 2540,
2710, 2874, 3032, 3183, 3326, 3459, 3582, 3693, 3792, 3877,
3950, 4008, 4052, 4080, 4094, 4092, 4075, 4044, 3997, 3936,
3861, 3772, 3671, 3557, 3433, 3298, 3153, 3001, 2842, 2676,
2506, 2333, 2158, 1981, 1806, 1632, 1461, 1294, 1134, 979,
833, 696, 569, 453, 348, 256, 178, 113, 62, 27,
6, 0, 10, 34, 73, 127, 195, 277, 372, 479,
598, 728, 867, 1015, 1171, 1333, 1500, 1671, 1845, 2021,
2197, 2371, 2544, 2712, 2876, 3033, 3184, 3326, 3458, 3580,
3691, 3790, 3875, 3948, 4006, 4050, 4079, 4093, 4093, 4077,
4046, 4001, 3941, 3867, 3780, 3680, 3568, 3445, 3312, 3169,
3018, 2861, 2697, 2528, 2356, 2181, 2006, 1831, 1658, 1487,
1320, 1159, 1005, 858, 720, 591, 473, 367, 273, 192,
125, 72, 33, 9, 0, 6, 27, 63, 113, 177,
255, 347, 450, 565, 692, 828, 973, 1125, 1285, 1450,
1620, 1792, 1967, 2142, 2316, 2488, 2657, 2822, 2981, 3133,
3277, 3413, 3538, 3652, 3755, 3845, 3922, 3986, 4035, 4070,
4090, 4095, 4085, 4060, 4021, 3967, 3900, 3819, 3725, 3618,
3501, 3373, 3235, 3088, 2934, 2774, 2608, 2438, 2265, 2091,
1916, 1743, 1571, 1404, 1240, 1083, 933, 791, 657, 535,
423, 322, 235, 160, 100, 53, 21, 3, 1, 13,
40, 82, 137, 207, 290, 386, 494, 613, 742, 881,
1028, 1183, 1344, 1510, 1680, 1852, 2026, 2200, 2373, 2544,
2711, 2873, 3029, 3178, 3319, 3451, 3572, 3683, 3782, 3868,
3941, 4000, 4045, 4076, 4092, 4094, 4080, 4052, 4010, 3953,
3883, 3799, 3703, 3594, 3475, 3345, 3206, 3059, 2904, 2744,
2578, 2408, 2236, 2062, 1889, 1716, 1546, 1380, 1218, 1062,
914, 773, 642, 521, 411, 312, 227, 154, 95, 50,
19, 3, 1, 14, 42, 84, 141, 211, 294, 390,
497, 616, 745, 884, 1030, 1184, 1345, 1510, 1679, 1851,
2024, 2197, 2369, 2539, 2705, 2867, 3023, 3171, 3312, 3444,
3565, 3676, 3775, 3862, 3935, 3996, 4042, 4074, 4091, 4094,
4083, 4056, 4016, 3961, 3893, 3811, 3717, 3611, 3494, 3366,
3229, 3084, 2931, 2772, 2608, 2439, 2268, 2096, 1923, 1751,
1581, 1415, 1253, 1096, 947, 805, 672, 549, 437, 336,
247, 171, 109, 60, 26, 6, 0, 9, 33, 70,
122, 188, 267, 358, 461, 576, 701, 836, 979, 1130,
1288, 1450, 1617, 1787, 1959, 2132, 2304, 2474, 2641, 2804,
2961, 3112, 3255, 3390, 3515, 3630, 3734, 3826, 3905, 3971,
4023, 4061, 4085, 4095, 4090, 4071, 4037, 3989, 3928, 3853,
3765, 3666, 3554, 3433, 3301, 3161, 3012, 2857, 2696, 2531,
2362, 2191, 2019, 1847, 1677, 1509, 1345, 1186, 1033, 888,
750, 622, 504, 396, 300, 217, 146, 89, 46, 17,
2, 2, 16, 44, 86, 142, 212, 295, 389, 496,
613, 741, 878, 1023, 1175, 1333, 1496, 1663, 1833, 2005,
2176, 2347, 2515, 2681, 2842, 2997, 3145, 3286, 3418, 3541,
3653, 3754, 3842, 3919, 3982, 4031, 4067, 4088, 4095, 4088,
4066, 4030, 3981, 3918, 3841, 3753, 3652, 3540, 3417, 3285,
3145, 2996, 2841, 2681, 2516, 2348, 2177, 2006, 1835, 1666,
1499, 1336, 1178, 1027, 882, 745, 618, 501, 394, 299,
216, 146, 89, 46, 17, 2, 1, 15, 43, 85,
140, 209, 290, 384, 489, 606, 732, 867, 1011, 1162,
1319, 1481, 1647, 1816, 1986, 2157, 2327, 2495, 2660, 2821,
2976, 3125, 3266, 3399, 3522, 3635, 3738, 3828, 3906, 3971,
4023, 4061, 4085, 4095, 4090, 4072, 4039, 3993, 3933, 3860,
3775, 3677, 3568, 3449, 3320, 3182, 3036, 2884, 2726, 2562,
2396, 2227, 2057, 1886, 1717, 1551, 1387, 1228, 1075, 929,
790, 660, 540, 430, 331, 244, 170, 109, 61, 26,
6, 0, 8, 30, 66, 116, 179, 255, 343, 443,
554, 675, 806, 945, 1092, 1246, 1405, 1568, 1735, 1904,
2074, 2244, 2412, 2578, 2740, 2897, 3049, 3194, 3330, 3458,
3576, 3684, 3780, 3865, 3937, 3996, 4041, 4073, 4091, 4095,
4084, 4060, 4022, 3971, 3906, 3828, 3738, 3637, 3525, 3402,
3271, 3131, 2983, 2829, 2670, 2506, 2340, 2171, 2001, 1832,
1665, 1500, 1338, 1182, 1031, 888, 752, 626, 509, 402,
307, 224, 153, 96, 51, 20, 4, 1, 12, 37,
75, 128, 193, 271, 361, 463, 575, 698, 830, 970,
1117, 1271, 1430, 1593, 1759, 1928, 2097, 2265, 2433, 2597,
2758, 2914, 3064, 3207, 3342, 3469, 3585, 3692, 3787, 3870,
3941, 3998, 4043, 4074, 4091, 4095, 4084, 4059, 4021, 3970,
3905, 3828, 3738, 3638, 3526, 3404, 3273, 3134, 2987, 2835,
2676, 2514, 2348, 2180, 2012, 1843, 1676, 1512, 1351, 1195,
1045, 901, 766, 639, 521, 414, 318, 234, 162, 103,
57, 24, 5, 0, 9, 32, 68, 117, 180, 256,
343, 442, 552, 672, 801, 938, 1084, 1235, 1392, 1554,
1719, 1886, 2054, 2222, 2389, 2553, 2714, 2871, 3022, 3167,
3303, 3432, 3551, 3660, 3758, 3845, 3919, 3981, 4030, 4065,
4087, 4095, 4089, 4070, 4037, 3990, 3931, 3859, 3774, 3678,
3571, 3454, 3328, 3192, 3049, 2900, 2744, 2584, 2421, 2255,
2087, 1919, 1753, 1588, 1426, 1268, 1116, 970, 831, 700,
579, 467, 366, 276, 198, 132, 79, 40, 14, 1,
2, 17, 46, 88, 143, 211, 291, 383, 486, 599,
722, 854, 994, 1141, 1294, 1452, 1614, 1779, 1946, 2113,
2280, 2445, 2608, 2767, 2921, 3069, 3211, 3344, 3469, 3585,
3690, 3784, 3867, 3938, 3996, 4040, 4072, 4090, 4095, 4086,
4063, 4027, 3978, 3915, 3841, 3754, 3657, 3548, 3429, 3302,
3166, 3022, 2872, 2717, 2557, 2393, 2228, 2061, 1894, 1728,
1565, 1404, 1248, 1097, 953, 816, 687, 567, 456, 357,
268, 192, 128, 76, 38, 12, 1, 3, 18, 47,
90, 145, 213, 292, 384, 487, 599, 722, 853, 992,
1138, 1291, 1448, 1609, 1773, 1939, 2105, 2271, 2436, 2598,
2756, 2910, 3058, 3199, 3333, 3458, 3574, 3680, 3775, 3858,
3930, 3989, 4035, 4069, 4089, 4095, 4088, 4067, 4034, 3987,
3927, 3855, 3771, 3676, 3570, 3454, 3328, 3195, 3053, 2906,
2752, 2594, 2432, 2268, 2102, 1936, 1771, 1607, 1447, 1290,
1139, 993, 854, 723, 601, 489, 386, 295, 215, 147,
92, 49, 19, 3, 1, 11, 35, 73, 123, 185,
260, 347, 445, 553, 671, 799, 934, 1076, 1225, 1380,
1538, 1700, 1865, 2030, 2195, 2360, 2523, 2682, 2837, 2987,
3131, 3268, 3397, 3517, 3627, 3727, 3816, 3894, 3959, 4012,
4052, 4079, 4093, 4094, 4081, 4054, 4015, 3963, 3899, 3822,
3734, 3634, 3525, 3406, 3278, 3142, 2999, 2849, 2695, 2536,
2374, 2210, 2045, 1880, 1716, 1554, 1396, 1242, 1093, 950,
814, 686, 568, 458, 360, 272, 195, 131, 79, 40,
14, 1, 2, 16, 43, 83, 135, 200, 277, 366,
465, 575, 694, 822, 958, 1101, 1250, 1404, 1563, 1724,
1888, 2053, 2217, 2381, 2542, 2700, 2854, 3003, 3145, 3280,
3408, 3526, 3635, 3734, 3822, 3898, 3962, 4014, 4054, 4080,
4093, 4093, 4080, 4054, 4015, 3963, 3898, 3822, 3734, 3636,
3527, 3409, 3282, 3147, 3004, 2856, 2703, 2545, 2384, 2221,
2057, 1893, 1730, 1568, 1410, 1257, 1108, 965, 829, 701,
582, 472, 372, 283, 206, 140, 87, 46, 18, 3,
1, 12, 36, 74, 124, 186, 260, 346, 442, 549,
666, 791, 924, 1065, 1212, 1364, 1521, 1680, 1843, 2006,
2170, 2333, 2494, 2653, 2807, 2957, 3100, 3237, 3367, 3488,
3599, 3701, 3792, 3872, 3941, 3997, 4041, 4072, 4090, 4095,
4087, 4066, 4032, 3985, 3926, 3856, 3773, 3680, 3576, 3462,
3340, 3209, 3070, 2926, 2775, 2620, 2462, 2300, 2138, 1974,
1811, 1650, 1491, 1336, 1185, 1040, 901, 769, 646, 531,
427, 332, 248, 176, 116, 68, 33, 10, 0, 4,
20, 49, 91, 145, 212, 290, 379, 479, 589, 707,
835, 970, 1112, 1260, 1413, 1570, 1729, 1891, 2054, 2217,
2379, 2538, 2695, 2847, 2994, 3136, 3270, 3397, 3515, 3624,
3723, 3811, 3888, 3953, 4007, 4048, 4076, 4092, 4094, 4084,
4061, 4025, 3977, 3916, 3844, 3760, 3666, 3561, 3447, 3324,
3193, 3054, 2910, 2760, 2605, 2447, 2287, 2125, 1962, 1800,
1640, 1482, 1328, 1178, 1034, 896, 765, 643, 529, 425,
331, 248, 176, 116, 69, 33, 10, 0, 3, 19,
48, 89, 142, 207, 284, 372, 471, 579, 696, 822,
956, 1097, 1243, 1394, 1550, 1709, 1869, 2031, 2193, 2354,
2514, 2670, 2822, 2969, 3111, 3246, 3374, 3493, 3603, 3703,
3793, 3872, 3940, 3996, 4039, 4071, 4089, 4095, 4088, 4068,
4036, 3991, 3934, 3866, 3785, 3695, 3593, 3483, 3363, 3235,
3100, 2958, 2810, 2658, 2502, 2343, 2182, 2021, 1859, 1699,
1541, 1386, 1236, 1090, 950, 817, 692, 575, 468, 370,
283, 206, 142, 89, 48, 19, 4, 0, 10, 32,
67, 114, 173, 244, 326, 419, 521, 633, 754, 883,
1019, 1162, 1310, 1462, 1619, 1777, 1938, 2099, 2260, 2419,
2577, 2731, 2880, 3025, 3163, 3295, 3418, 3534, 3640, 3736,
3822, 3897, 3960, 4011, 4051, 4078, 4092, 4094, 4083, 4060,
4024, 3976, 3916, 3845, 3762, 3669, 3566, 3453, 3332, 3203,
3067, 2925, 2777, 2624, 2468, 2310, 2150, 1989, 1829, 1670,
1513, 1360, 1211, 1067, 929, 798, 675, 560, 454, 358,
273, 198, 135, 84, 44, 17, 3, 1, 11, 34,
70, 117, 177, 248, 330, 422, 525, 637, 757, 885,
1021, 1163, 1310, 1461, 1617, 1775, 1934, 2094, 2254, 2413,
2569, 2723, 2872, 3016, 3154, 3285, 3409, 3524, 3631, 3727,
3814, 3889, 3953, 4006, 4047, 4075, 4091, 4095, 4086, 4064,
4031, 3985, 3927, 3858, 3778, 3687, 3587, 3476, 3358, 3231,
3097, 2957, 2811, 2660, 2506, 2349, 2190, 2030, 1870, 1712,
1555, 1402, 1252, 1108, 969, 836, 711, 595, 487, 388,
300, 222, 155, 100, 57, 25, 7, 0, 6, 24,
55, 97, 152, 218, 295, 383, 481, 588, 704, 828,
960, 1098, 1243, 1391, 1544, 1700, 1858, 2017, 2177, 2335,
2492, 2646, 2796, 2942, 3083, 3217, 3344, 3463, 3574, 3675,
3767, 3848, 3918, 3977, 4025, 4060, 4083, 4094, 4093, 4079,
4053, 4015, 3965, 3903, 3830, 3747, 3653, 3549, 3437, 3316,
3187, 3052, 2910, 2764, 2613, 2459, 2302, 2143, 1985, 1826,
1669, 1514, 1362, 1215, 1072, 936, 806, 683, 569, 464,
368, 282, 207, 143, 91, 50, 21, 4, 0, 8,
28, 61, 105, 161, 228, 306, 394, 493, 601, 717,
842, 973, 1111, 1255, 1403, 1556, 1711, 1868, 2026, 2185,
2342, 2498, 2651, 2800, 2945, 3085, 3218, 3344, 3463, 3573,
3674, 3765, 3846, 3916, 3975, 4023, 4059, 4082, 4094, 4093,
4080, 4055, 4018, 3969, 3909, 3838, 3756, 3664, 3562, 3451,
3332, 3205, 3071, 2931, 2786, 2637, 2484, 2328, 2171, 2013,
1856, 1699, 1544, 1393, 1245, 1103, 965, 835, 711, 596,
489, 391, 303, 226, 159, 104, 60, 28, 8, 0,
4, 21, 49, 89, 141, 204, 278, 363, 458, 561,
674, 795, 923, 1058, 1199, 1345, 1495, 1648, 1804, 1961,
2118, 2275, 2431, 2585, 2735, 2881, 3022, 3158, 3287, 3408,
3522, 3626, 3722, 3807, 3883, 3947, 4000, 4042, 4071, 4089,
4095, 4089, 4070, 4040, 3998, 3945, 3880, 3804, 3719, 3623,
3518, 3404, 3283, 3154, 3018, 2877, 2731, 2581, 2428, 2273,
2116, 1959, 1803, 1648, 1495, 1345, 1200, 1060, 925, 797,
677, 564, 461, 366, 282, 208, 144, 92, 51, 22,
5, 0, 7, 26, 56, 99, 153, 218, 293, 379,
475, 580, 693, 815, 943, 1078, 1219, 1364, 1514, 1667,
1822, 1978, 2134, 2290, 2445, 2597, 2746, 2891, 3031, 3166,
3293, 3414, 3526, 3630, 3725, 3809, 3884, 3948, 4000, 4042,
4071, 4089, 4095, 4089, 4071, 4041, 4000, 3947, 3883, 3809,
3724, 3630, 3526, 3414, 3294, 3166, 3032, 2892, 2748, 2599,
2447, 2293, 2137, 1981, 1825, 1671, 1519, 1370, 1224, 1084,
949, 821, 700, 586, 481, 385, 299, 223, 158, 103,
60, 28, 8, 0, 4, 19, 47, 86, 136, 197,
269, 352, 444, 545, 655, 774, 899, 1031, 1169, 1312,
1460, 1611, 1764, 1919, 2074, 2230, 2384, 2537, 2686, 2832,
2973, 3109, 3239, 3362, 3478, 3585, 3683, 3772, 3850, 3919,
3977, 4023, 4058, 4082, 4094, 4094, 4082, 4058, 4023, 3977,
3919, 3851, 3772, 3684, 3586, 3479, 3364, 3241, 3111, 2976,
2835, 2689, 2540, 2388, 2234, 2079, 1924, 1770, 1617, 1467,
1320, 1177, 1039, 907, 782, 663, 553, 452, 359, 276,
204, 142, 90, 51, 22, 5, 0, 7, 25, 55,
96, 148, 212, 285, 369, 463, 565, 676, 795, 921,
1053, 1191, 1334, 1481, 1631, 1784, 1938, 2093, 2247, 2401,
2552, 2700, 2845, 2985, 3120, 3248, 3370, 3484, 3590, 3687,
3775, 3853, 3921, 3978, 4024, 4058, 4082, 4094, 4094, 4082,
4059, 4024, 3978, 3922, 3854, 3776, 3689, 3592, 3486, 3372,
3251, 3123, 2989, 2849, 2705, 2557, 2406, 2253, 2099, 1945,
1791, 1639, 1489, 1343, 1200, 1062, 930, 804, 685, 574,
471, 377, 293, 219, 155, 101, 59, 28, 8, 0,
4, 19, 45, 83, 132, 192, 262, 343, 433, 532,
639, 755, 878, 1007, 1143, 1283, 1428, 1576, 1727, 1880,
2033, 2187, 2340, 2491, 2640, 2785, 2927, 3063, 3193, 3317,
3434, 3543, 3644, 3736, 3818, 3890, 3952, 4003, 4043, 4072,
4089, 4095, 4089, 4072, 4044, 4004, 3954, 3892, 3821, 3739,
3648, 3548, 3439, 3323, 3199, 3070, 2934, 2793, 2648, 2500,
2350, 2197, 2044, 1891, 1738, 1588, 1440, 1295, 1155, 1020,
890, 767, 651, 543, 444, 353, 272, 201, 140, 89,
50, 22, 5, 0, 6, 24, 52, 92, 143, 205,
276, 358, 449, 549, 658, 774, 897, 1026, 1162, 1302,
1446, 1594, 1744, 1896, 2049, 2201, 2353, 2503, 2651, 2795,
2935, 3070, 3200, 3323, 3439, 3547, 3646, 3737, 3819, 3890,
3952, 4002, 4042, 4071, 4089, 4095, 4090, 4073, 4046, 4007,
3957, 3897, 3826, 3746, 3656, 3557, 3450, 3335, 3213, 3085,
2951, 2812, 2668, 2521, 2372, 2221, 2068, 1916, 1765, 1615,
1467, 1323, 1182, 1047, 917, 793, 676, 567, 466, 374,
291, 218, 154, 102, 60, 29, 9, 0, 3, 17,
42, 79, 126, 183, 251, 329, 417, 513, 618, 730,
850, 977, 1109, 1247, 1389, 1534, 1682, 1833, 1984, 2136,
2288, 2438, 2585, 2730, 2872, 3008, 3139, 3265, 3383, 3495,
3598, 3693, 3778, 3855, 3921, 3977, 4022, 4057, 4081, 4093,
4094, 4084, 4063, 4031, 3987, 3934, 3870, 3796, 3712, 3619,
3518, 3408, 3292, 3168, 3038, 2903, 2763, 2619, 2473, 2323,
2173, 2021, 1870, 1720, 1572, 1426, 1283, 1145, 1012, 884,
763, 649, 542, 444, 354, 274, 203, 143, 92, 53,
24, 7, 0, 5, 20, 47, 85, 133, 192, 261,
340, 428, 524, 629, 742, 862, 988, 1120, 1257, 1398,
1543, 1691, 1840, 1991, 2142, 2292, 2441, 2588, 2732, 2872,
3008, 3139, 3263, 3381, 3492, 3595, 3689, 3775, 3851, 3917,
3974, 4020, 4055, 4079, 4092, 4094, 4086, 4066, 4035, 3993,
3941, 3879, 3807, 3725, 3634, 3535, 3427, 3312, 3191, 3063,
2929, 2791, 2649, 2504, 2356, 2206, 2056, 1906, 1756, 1608,
1463, 1320, 1182, 1048, 919, 797, 682, 573, 473, 381,
299, 225, 162, 108, 65, 33, 12, 1, 2, 13,
36, 69, 113, 167, 232, 306, 389, 482, 583, 692,
808, 930, 1059, 1193, 1331, 1474, 1619, 1767, 1916, 2066,
2216, 2364, 2512, 2656, 2798, 2935, 3068, 3195, 3316, 3430,
3537, 3635, 3726, 3807, 3879, 3941, 3993, 4034, 4065, 4085,
4094, 4093, 4080, 4056, 4022, 3977, 3922, 3857, 3782, 3698,
3605, 3504, 3395, 3279, 3157, 3028, 2894, 2756, 2614, 2469,
2321, 2173, 2023, 1874, 1726, 1579, 1435, 1294, 1157, 1025,
899, 778, 664, 558, 460, 370, 289, 217, 155, 103,
61, 30, 10, 1, 2, 14, 38, 71, 115, 170,
234, 308, 392, 484, 584, 692, 807, 929, 1057, 1190,
1327, 1469, 1613, 1760, 1908, 2057, 2206, 2354, 2500, 2644,
2785, 2922, 3054, 3181, 3302, 3416, 3523, 3622, 3713, 3795,
3868, 3931, 3985, 4028, 4060, 4082, 4093, 4094, 4083, 4062,
4031, 3988, 3936, 3874, 3802, 3721, 3630, 3532, 3426, 3313,
3192, 3066, 2935, 2799, 2659, 2515, 2370, 2222, 2074, 1926,
1778, 1631, 1487, 1346, 1209, 1076, 948, 825, 710, 601,
500, 407, 322, 247, 181, 125, 79, 44, 18, 4,
0, 7, 25, 53, 92, 141, 199, 268, 346, 433,
528, 631, 742, 859, 983, 1112, 1246, 1384, 1526, 1670,
1817, 1964, 2112, 2260, 2406, 2551, 2693, 2832, 2966, 3096,
3220, 3338, 3449, 3554, 3650, 3738, 3817, 3886, 3946, 3997,
4037, 4067, 4086, 4094, 4092, 4080, 4057, 4023, 3979, 3925,
3861, 3788, 3706, 3615, 3516, 3409, 3295, 3175, 3049, 2918,
2782, 2643, 2500, 2355, 2208, 2061, 1914, 1767, 1622, 1479,
1339, 1202, 1070, 943, 822, 707, 599, 499, 407, 323,
248, 182, 126, 80, 45, 19, 4, 0, 6, 23,
50, 88, 136, 193, 260, 337, 422, 516, 617, 726,
842, 964, 1091, 1224, 1360, 1500, 1643, 1788, 1935, 2082,
2229, 2375, 2519, 2660, 2799, 2934, 3064, 3189, 3307, 3420,
3525, 3623, 3713, 3794, 3866, 3929, 3982, 4025, 4058, 4081,
4093, 4094, 4086, 4066, 4037, 3997, 3947, 3887, 3818, 3740,
3653, 3558, 3455, 3345, 3229, 3106, 2978, 2845, 2708, 2568,
2425, 2280, 2134, 1987, 1841, 1696, 1553, 1412, 1274, 1141,
1012, 888, 771, 660, 556, 459, 371, 291, 221, 159,
108, 66, 34, 13, 2, 1, 11, 31, 62, 102,
153, 213, 283, 361, 448, 544, 647, 757, 873, 996,
1124, 1257, 1393, 1533, 1676, 1820, 1966, 2112, 2258, 2402,
2545, 2685, 2822, 2955, 3084, 3207, 3324, 3435, 3538, 3635,
3723, 3802, 3873, 3934, 3986, 4028, 4060, 4082, 4093, 4094,
4085, 4065, 4035, 3995, 3946, 3886, 3817, 3740, 3654, 3559,
3457, 3348, 3233, 3111, 2984, 2852, 2716, 2577, 2435, 2291,
2146, 2001, 1856, 1711, 1569, 1429, 1292, 1159, 1030, 906,
789, 677, 573, 476, 386, 306, 234, 171, 118, 74,
40, 17, 3, 0, 7, 25, 53, 90, 138, 195,
261, 337, 421, 513, 613, 720, 834, 954, 1079, 1209,
1344, 1481, 1622, 1765, 1909, 2054, 2199, 2343, 2486, 2626,
2764, 2898, 3027, 3152, 3271, 3384, 3491, 3590, 3681, 3764,
3839, 3904, 3961, 4008, 4044, 4071, 4088, 4095, 4091, 4077,
4053, 4020, 3976, 3922, 3859, 3788, 3707, 3618, 3522, 3418,
3307, 3190, 3067, 2939, 2807, 2671, 2531, 2390, 2247, 2102,
1958, 1814, 1671, 1530, 1392, 1257, 1125, 999, 877, 762,
653, 551, 456, 369, 291, 221, 160, 109, 67, 36,
14, 2, 1, 9, 28, 57, 95, 144, 201, 268,
344, 428, 520, 620, 727, 840, 959, 1084, 1214, 1347,
1484, 1624, 1766, 1909, 2053, 2197, 2340, 2482, 2621, 2758,
2891, 3020, 3144, 3263, 3376, 3482, 3581, 3672, 3756, 3831,
3897, 3954, 4002, 4040, 4068, 4086, 4095, 4093, 4081, 4059,
4027, 3985, 3934, 3873, 3804, 3726, 3639, 3545, 3444, 3335,
3221, 3100, 2974, 2844, 2710, 2573, 2433, 2291, 2148, 2005,
1861, 1719, 1578, 1440, 1304, 1173, 1045, 923, 806, 695,
591, 493, 404, 323, 250, 186, 131, 85, 49, 23,
6, 0, 4, 18, 41, 75, 118, 170, 232, 303,
382, 469, 564, 666, 775, 890, 1011, 1137, 1267, 1401,
1538, 1678, 1819, 1962, 2105, 2248, 2389, 2529, 2667, 2802,
2933, 3059, 3181, 3297, 3407, 3511, 3607, 3696, 3776, 3849,
3912, 3967, 4012, 4047, 4073, 4089, 4095, 4091, 4077, 4053,
4020, 3977, 3925, 3863, 3793, 3714, 3627, 3533, 3431, 3323,
3208, 3088, 2963, 2833, 2699, 2563, 2424, 2283, 2141, 1998,
1856, 1715, 1575, 1438, 1303, 1173, 1046, 924, 808, 698,
594, 497, 408, 327, 254, 190, 134, 88, 52, 25,
8, 0, 3, 15, 37, 69, 111, 161, 221, 290,
367, 452, 545, 645, 752, 865, 984, 1108, 1236, 1368,
1504, 1642, 1782, 1923, 2065, 2207, 2348, 2488, 2625, 2760,
2891, 3018, 3141, 3258, 3370, 3475, 3573, 3664, 3747, 3822,
3888, 3946, 3994, 4034, 4063, 4083, 4094, 4094, 4085, 4065,
4037, 3998, 3951, 3894, 3828, 3754, 3672, 3582, 3485, 3381,
3270, 3154, 3032, 2906, 2775, 2641, 2504, 2365, 2225, 2084,
1942, 1801, 1662, 1524, 1388, 1256, 1128, 1004, 885, 771,
664, 563, 469, 383, 305, 235, 173, 121, 78, 44,
20, 5, 0, 5, 19, 43, 77, 120, 172, 233,
303, 381, 467, 560, 661, 768, 881, 999, 1123, 1251,
1382, 1517, 1655, 1794, 1934, 2075, 2216, 2356, 2494, 2631,
2764, 2894, 3021, 3142, 3258, 3369, 3473, 3571, 3661, 3744,
3819, 3885, 3943, 3992, 4031, 4061, 4082, 4093, 4094, 4086,
4068, 4041, 4004, 3958, 3903, 3839, 3767, 3686, 3598, 3503,
3401, 3292, 3177, 3058, 2933, 2805, 2672, 2537, 2400, 2261,
2120, 1980, 1840, 1701, 1563, 1428, 1296, 1167, 1043, 923,
808, 700, 597, 502, 413, 333, 260, 196, 140, 94,
57, 29, 10, 1, 2, 12, 31, 60, 99, 146,
203, 268, 341, 423, 512, 608, 711, 820, 935, 1055,
1179, 1308, 1440, 1575, 1713, 1851, 1991, 2131, 2270, 2409,
2546, 2680, 2811, 2939, 3063, 3182, 3296, 3403, 3505, 3600,
3687, 3767, 3839, 3902, 3957, 4003, 4040, 4067, 4086, 4094,
4093, 4083, 4063, 4034, 3996, 3948, 3892, 3827, 3754, 3673,
3584, 3488, 3386, 3277, 3163, 3044, 2919, 2791, 2660, 2525,
2389, 2251, 2112, 1972, 1833, 1695, 1559, 1425, 1293, 1166,
1042, 923, 809, 701, 600, 505, 417, 336, 264, 200,
144, 97, 59, 31, 11, 1, 1, 10, 28, 56,
93, 139, 193, 257, 328, 407, 494, 588, 689, 796,
909, 1027, 1150, 1277, 1407, 1541, 1676, 1814, 1952, 2091,
2229, 2367, 2504, 2638, 2769, 2897, 3022, 3141, 3256, 3365,
3468, 3565, 3655, 3737, 3811, 3878, 3935, 3985, 4025, 4057,
4079, 4091, 4095, 4089, 4074, 4049, 4015, 3973, 3921, 3861,
3793, 3716, 3632, 3541, 3443, 3338, 3228, 3112, 2992, 2867,
2738, 2606, 2472, 2336, 2198, 2060, 1922, 1784, 1648, 1513,
1381, 1252, 1126, 1005, 888, 777, 672, 573, 480, 395,
317, 247, 186, 132, 88, 52, 26, 9, 1, 2,
13, 32, 61, 99, 146, 202, 266, 338, 418, 505,
599, 699, 806, 919, 1036, 1158, 1285, 1414, 1547, 1681,
1818, 1955, 2093, 2230, 2367, 2502, 2636, 2766, 2893, 3017,
3136, 3250, 3359, 3461, 3558, 3647, 3729, 3804, 3871, 3929,
3979, 4020, 4053, 4076, 4090, 4095, 4091, 4077, 4054, 4023,
3982, 3932, 3875, 3808, 3734, 3653, 3564, 3468, 3366, 3258,
3145, 3026, 2903, 2777, 2647, 2514, 2380, 2244, 2107, 1969,
1832, 1696, 1562, 1430, 1301, 1175, 1052, 935, 822, 715,
614, 519, 432, 351, 278, 213, 156, 108, 69, 38,
16, 4, 0, 6, 21, 45, 77, 119, 169, 228,
295, 370, 452, 541, 637, 739, 848, 961, 1079, 1202,
1329, 1458, 1590, 1725, 1860, 1997, 2134, 2270, 2405, 2539,
2671, 2799, 2925, 3046, 3163, 3275, 3382, 3482, 3577, 3664,
3744, 3817, 3882, 3938, 3986, 4026, 4057, 4078, 4091, 4095,
4090, 4075, 4052, 4019, 3978, 3929, 3871, 3804, 3731, 3649,
3561, 3466, 3364, 3257, 3144, 3027, 2905, 2779, 2651, 2519,
2386, 2251, 2115, 1978, 1843, 1708, 1574, 1443, 1314, 1189,
1067, 950, 837, 730, 629, 534, 446, 365, 291, 225,
167, 117, 76, 44, 20, 6, 0, 3, 16, 37,
67, 106, 154, 210, 274, 345, 424, 511, 604, 703,
809, 919, 1035, 1155, 1279, 1407, 1537, 1670, 1804, 1939,
2075, 2210, 2345, 2478, 2610, 2739, 2865, 2988, 3106, 3220,
3328, 3431, 3528, 3618, 3702, 3778, 3846, 3907, 3960, 4004,
4040, 4067, 4085, 4094, 4094, 4085, 4068, 4041, 4006, 3962,
3910, 3850, 3782, 3706, 3623, 3534, 3437, 3335, 3227, 3114,
2996, 2874, 2749, 2621, 2490, 2357, 2223, 2088, 1952, 1818,
1684, 1552, 1422, 1295, 1171, 1051, 935, 824, 719, 619,
525, 438, 359, 286, 221, 164, 115, 75, 43, 20,
6, 0, 3, 16, 37, 67, 105, 152, 207, 270,
341, 419, 504, 596, 694, 798, 907, 1021, 1140, 1263,
1389, 1517, 1649, 1781, 1915, 2050, 2184, 2318, 2451, 2582,
2711, 2837, 2959, 3077, 3191, 3300, 3404, 3502, 3593, 3678,
3756, 3826, 3889, 3944, 3990, 4028, 4058, 4079, 4091, 4095,
4090, 4076, 4053, 4021, 3981, 3933, 3877, 3812, 3741, 3662,
3576, 3483, 3384, 3280, 3170, 3056, 2937, 2814, 2688, 2560,
2429, 2296, 2163, 2029, 1895, 1761, 1629, 1499, 1371, 1246,
1125, 1007, 894, 786, 683, 586, 496, 412, 335, 265,
203, 149, 103, 65, 36, 15, 3, 0, 6, 20,
43, 74, 114, 162, 218, 282, 353, 432, 518, 610,
708, 812, 921, 1035, 1153, 1275, 1400, 1528, 1658, 1790,
1923, 2057, 2190, 2323, 2455, 2584, 2712, 2837, 2958, 3076,
3189, 3297, 3400, 3497, 3588, 3673, 3750, 3821, 3884, 3939,
3986, 4025, 4055, 4077, 4090, 4095, 4091, 4078, 4057, 4027,
3989, 3943, 3889, 3827, 3757, 3680, 3596, 3506, 3410, 3307,
3200, 3087, 2971, 2850, 2726, 2599, 2470, 2339, 2207, 2074,
1941, 1809, 1677, 1547, 1419, 1294, 1172, 1054, 940, 831,
727, 628, 535, 449, 369, 297, 232, 174, 125, 83,
50, 25, 9, 1, 2, 11, 29, 55, 90, 133,
184, 243, 309, 383, 463, 551, 644, 744, 849, 958,
1073, 1191, 1313, 1439, 1566, 1696, 1827, 1959, 2092, 2224,
2355, 2485, 2614, 2740, 2863, 2982, 3098, 3209, 3316, 3417,
3512, 3602, 3685, 3761, 3829, 3891, 3944, 3990, 4028, 4057,
4078, 4091, 4095, 4091, 4078, 4056, 4026, 3988, 3942, 3888,
3827, 3758, 3681, 3599, 3509, 3414, 3313, 3206, 3095, 2980,
2860, 2738, 2612, 2484, 2354, 2224, 2092, 1960, 1828, 1698,
1569, 1442, 1317, 1196, 1078, 964, 854, 750, 650, 557,
470, 389, 315, 249, 190, 138, 95, 59, 32, 13,
2, 0, 7, 21, 45, 76, 116, 163, 218, 281,
351, 428, 512, 602, 698, 800, 907, 1018, 1134, 1253,
1376, 1501, 1629, 1758, 1889, 2020, 2151, 2282, 2412, 2540,
2667, 2790, 2911, 3028, 3141, 3250, 3354, 3452, 3545, 3631,
3711, 3784, 3850, 3908, 3959, 4002, 4037, 4064, 4083, 4093,
4095, 4088, 4073, 4050, 4019, 3979, 3932, 3877, 3815, 3745,
3668, 3585, 3495, 3400, 3299, 3193, 3082, 2967, 2848, 2726,
2602, 2475, 2346, 2216, 2085, 1955, 1824, 1695, 1567, 1441,
1317, 1197, 1080, 967, 858, 754, 655, 563, 476, 395,
321, 255, 195, 144, 99, 63, 35, 15, 3, 0,
5, 18, 40, 69, 107, 152, 206, 266, 334, 409,
490, 578, 672, 771, 875, 985, 1098, 1215, 1336, 1459,
1585, 1713, 1842, 1972, 2102, 2232, 2361, 2489, 2616, 2739,
2860, 2978, 3092, 3202, 3307, 3407, 3501, 3590, 3672, 3748,
3817, 3879, 3933, 3980, 4019, 4050, 4073, 4088, 4095, 4093,
4083, 4065, 4039, 4005, 3963, 3913, 3856, 3791, 3720, 3641,
3557, 3466, 3370, 3268, 3162, 3050, 2935, 2817, 2695, 2571,
2444, 2317, 2188, 2058, 1928, 1799, 1671, 1545, 1420, 1298,
1179, 1063, 952, 845, 742, 645, 554, 468, 389, 316,
251, 192, 141, 98, 62, 35, 15, 3, 0, 5,
18, 39, 68, 105, 150, 202, 261, 328, 402, 482,
568, 660, 758, 861, 969, 1081, 1196, 1315, 1437, 1562,
1688, 1816, 1945, 2074, 2203, 2331, 2458, 2584, 2707, 2828,
2945, 3060, 3170, 3275, 3376, 3471, 3561, 3645, 3722, 3793,
3857, 3914, 3963, 4005, 4039, 4065, 4083, 4093, 4095, 4089,
4074, 4052, 4022, 3984, 3938, 3885, 3825, 3757, 3683, 3603,
3516, 3423, 3325, 3222, 3115, 3003, 2887, 2769, 2647, 2523,
2397, 2270, 2142, 2013, 1885, 1757, 1630, 1506, 1383, 1263,
1146, 1032, 923, 818, 717, 623, 533, 450, 373, 302,
239, 182, 133, 91, 57, 31, 13, 2, 0, 6,
20, 41, 71, 108, 153, 206, 265, 332, 405, 485,
570, 662, 759, 861, 968, 1078, 1193, 1311, 1432, 1555,
1680, 1807, 1934, 2062, 2190, 2317, 2443, 2568, 2691, 2811,
2928, 3042, 3151, 3257, 3358, 3453, 3543, 3628, 3706, 3777,
3842, 3900, 3951, 3994, 4030, 4058, 4078, 4091, 4095, 4091,
4080, 4060, 4033, 3998, 3956, 3906, 3849, 3784, 3713, 3636,
3553, 3463, 3369, 3269, 3164, 3055, 2942, 2826, 2706, 2585,
2461, 2335, 2208, 2081, 1954, 1827, 1701, 1576, 1453, 1332,
1215, 1100, 989, 882, 780, 682, 590, 504, 423, 349,
281, 220, 166, 120, 81, 49, 25, 9, 1, 1,
8, 24, 47, 78, 116, 162, 216, 276, 343, 416,
496, 582, 674, 770, 872, 978, 1088, 1202, 1319, 1439,
1561, 1685, 1811, 1937, 2064, 2191, 2317, 2442, 2566, 2687,
2806, 2922, 3035, 3144, 3249, 3349, 3445, 3534, 3619, 3697,
3769, 3834, 3892, 3944, 3988, 4024, 4054, 4075, 4089, 4095,
4093, 4083, 4066, 4041, 4008, 3968, 3920, 3865, 3804, 3735,
3661, 3580, 3493, 3401, 3303, 3201, 3095, 2984, 2870, 2753,
2633, 2511, 2387, 2262, 2136, 2010, 1884, 1759, 1634, 1512,
1391, 1273, 1157, 1046, 938, 834, 735, 640, 551, 468,
391, 320, 256, 198, 148, 104, 68, 40, 19, 6,
0, 2, 12, 30, 55, 88, 129, 176, 231, 292,
360, 434, 515, 601, 693, 790, 891, 997, 1107, 1221,
1337, 1456, 1578, 1701, 1825, 1951, 2076, 2202, 2327, 2450,
2573, 2693, 2811, 2926, 3038, 3146, 3250, 3349, 3443, 3533,
3616, 3694, 3765, 3830, 3889, 3940, 3984, 4021, 4051, 4073,
4088, 4094, 4094, 4085, 4069, 4045, 4014, 3976, 3930, 3877,
3817, 3751, 3679, 3600, 3515, 3425, 3330, 3230, 3126, 3017,
2905, 2790, 2672, 2552, 2430, 2306, 2182, 2057, 1932, 1807,
1684, 1561, 1441, 1323, 1207, 1095, 986, 881, 781, 685,
594, 509, 429, 356, 289, 228, 174, 127, 88, 55,
30, 13, 3, 0, 5, 18, 38, 66, 101, 144,
193, 249, 312, 382, 457, 539, 626, 718, 815, 917,
1023, 1132, 1245, 1361, 1480, 1601, 1723, 1846, 1971, 2095,
2219, 2343, 2466, 2587, 2706, 2822, 2936, 3046, 3153, 3255,
3354, 3447, 3535, 3618, 3695, 3765, 3830, 3888, 3939, 3983,
4020, 4050, 4072, 4087, 4094, 4094, 4086, 4071, 4049, 4019,
3981, 3937, 3886, 3828, 3763, 3692, 3615, 3533, 3445, 3352,
3254, 3151, 3045, 2935, 2821, 2705, 2587, 2466, 2344, 2221,
2097, 1974, 1850, 1727, 1605, 1485, 1367, 1252, 1139, 1030,
924, 823, 726, 634, 547, 466, 390, 320, 257, 200,
151, 107, 71, 43, 21, 7, 1, 1, 10, 25,
48, 79, 116, 161, 212, 270, 335, 406, 482, 565,
653, 746, 843, 945, 1051, 1161, 1273, 1389, 1507, 1627,
1748, 1871, 1994, 2117, 2240, 2363, 2484, 2603, 2721, 2836,
2948, 3057, 3163, 3264, 3361, 3453, 3540, 3621, 3697, 3767,
3831, 3888, 3939, 3982, 4019, 4049, 4071, 4086, 4094, 4094,
4087, 4073, 4051, 4022, 3986, 3943, 3893, 3837, 3774, 3704,
3629, 3548, 3462, 3371, 3275, 3174, 3070, 2961, 2850, 2736,
2619, 2500, 2379, 2258, 2135, 2013, 1890, 1768, 1647, 1528,
1410, 1295, 1182, 1072, 966, 864, 766, 673, 585, 502,
424, 352, 287, 227, 174, 128, 89, 57, 32, 14,
3, 0, 4, 15, 34, 60, 93, 132, 179, 232,
292, 358, 430, 508, 592, 680, 774, 872, 974, 1080,
1189, 1301, 1416, 1534, 1653, 1773, 1895, 2017, 2139, 2261,
2382, 2502, 2620, 2736, 2850, 2960, 3068, 3172, 3272, 3367,
3458, 3544, 3625, 3700, 3769, 3832, 3888, 3938, 3982, 4018,
4048, 4070, 4086, 4094, 4094, 4088, 4074, 4054, 4026, 3991,
3949, 3901, 3845, 3784, 3717, 3643, 3564, 3480, 3390, 3296,
3198, 3095, 2989, 2879, 2766, 2651, 2534, 2415, 2295, 2174,
2053, 1931, 1810, 1690, 1571, 1454, 1339, 1226, 1116, 1010,
907, 808, 714, 624, 539, 460, 386, 318, 256, 201,
152, 109, 73, 45, 23, 8, 1, 1, 8, 22,
43, 71, 106, 148, 197, 252, 313, 380, 454, 532,
616, 705, 799, 897, 999, 1105, 1214, 1326, 1440, 1557,
1675, 1795, 1915, 2036, 2157, 2277, 2397, 2516, 2632, 2747,
2859, 2969, 3075, 3178, 3277, 3371, 3461, 3546, 3625, 3700,
3768, 3830, 3887, 3936, 3980, 4016, 4046, 4069, 4084, 4093,
4095, 4089, 4077, 4057, 4030, 3997, 3957, 3910, 3856, 3797,
3731, 3660, 3583, 3500, 3413, 3321, 3224, 3124, 3019, 2912,
2801, 2688, 2573, 2455, 2337, 2217, 2097, 1977, 1857, 1737,
1619, 1502, 1387, 1275, 1165, 1058, 954, 855, 759, 668,
581, 500, 424, 354, 289, 231, 178, 133, 93, 61,
35, 17, 5, 0, 2, 12, 28, 51, 81, 118,
162, 212, 268, 330, 399, 472, 552, 636, 725, 819,
917, 1019, 1124, 1233, 1344, 1457, 1573, 1690, 1809, 1928,
2048, 2167, 2287, 2405, 2522, 2638, 2751, 2862, 2971, 3076,
3177, 3275, 3369, 3458, 3542, 3621, 3695, 3763, 3825, 3882,
3932, 3975, 4012, 4042, 4066, 4083, 4092, 4095, 4091, 4080,
4061, 4037, 4005, 3967, 3922, 3870, 3813, 3750, 3681, 3606,
3526, 3441, 3351, 3257, 3159, 3057, 2952, 2843, 2732, 2619,
2503, 2386, 2268, 2150, 2030, 1911, 1793, 1675, 1559, 1444,
1331, 1221, 1114, 1009, 909, 812, 719, 631, 547, 469,
396, 328, 267, 211, 162, 119, 82, 52, 29, 12,
3, 0, 4, 15, 33, 58, 89, 127, 172, 222,
279, 342, 411, 485, 564, 648, 737, 830, 928, 1029,
1133, 1241, 1351, 1464, 1578, 1694, 1812, 1930, 2048, 2167,
2285, 2402, 2518, 2632, 2745, 2855, 2962, 3067, 3168, 3265,
3358, 3447, 3531, 3610, 3684, 3752, 3815, 3871, 3922, 3967,
4005, 4036, 4061, 4079, 4090, 4095, 4093, 4084, 4068, 4045,
4016, 3980, 3938, 3889, 3835, 3774, 3708, 3636, 3559, 3477,
3390, 3299, 3203, 3104, 3001, 2895, 2786, 2675, 2562, 2447,
2331, 2214, 2096, 1978, 1860, 1743, 1627, 1513, 1400, 1289,
1181, 1076, 974, 876, 781, 691, 605, 524, 448, 377,
311, 252, 198, 151, 110, 75, 47, 25, 10, 2,
0, 5, 17, 36, 61, 93, 131, 176, 227, 283,
346, 414, 487, 566, 649, 737, 830, 926, 1026, 1129,
1236, 1345, 1456, 1569, 1684, 1800, 1917, 2034, 2151, 2268,
2384, 2499, 2613, 2725, 2834, 2941, 3045, 3145, 3242, 3336,
3425, 3509, 3588, 3663, 3732, 3796, 3854, 3906, 3952, 3992,
4025, 4052, 4073, 4087, 4094, 4094, 4088, 4075, 4056, 4030,
3997, 3959, 3914, 3863, 3806, 3743, 3675, 3601, 3522, 3439,
3351, 3259, 3163, 3063, 2960, 2854, 2746, 2635, 2522, 2408,
2293, 2177, 2060, 1943, 1827, 1712, 1597, 1484, 1373, 1264,
1158, 1054, 954, 857, 765, 676, 592, 512, 438, 368,
304, 246, 194, 147, 107, 73, 45, 24, 10, 2,
0, 5, 17, 36, 60, 92, 129, 173, 223, 278,
339, 406, 478, 555, 637, 724, 815, 909, 1008, 1109,
1214, 1321, 1431, 1543, 1656, 1770, 1886, 2001, 2117, 2233,
2348, 2463, 2575, 2687, 2796, 2902, 3006, 3107, 3205, 3298,
3388, 3473, 3554, 3630, 3701, 3767, 3827, 3881, 3930, 3972,
4009, 4039, 4063, 4080, 4091, 4095, 4093, 4084, 4069, 4047,
4019, 3984, 3944, 3897, 3845, 3786, 3723, 3653, 3579, 3500,
3416, 3328, 3236, 3140, 3041, 2939, 2833, 2725, 2615, 2504,
2390, 2276, 2161, 2046, 1930, 1816, 1701, 1588, 1477, 1367,
1259, 1154, 1052, 953, 857, 765, 677, 594, 515, 441,
372, 309, 251, 198, 152, 111, 77, 49, 27, 12,
3, 0, 4, 14, 31, 54, 84, 119, 161, 209,
262, 321, 386, 455, 530, 610, 694, 782, 874, 970,
1070, 1172, 1277, 1385, 1494, 1606, 1718, 1832, 1947, 2061,
2176, 2290, 2404, 2516, 2627, 2736, 2843, 2947, 3049, 3147,
3242, 3333, 3421, 3503, 3582, 3655, 3723, 3787, 3844, 3896,
3943, 3983, 4017, 4045, 4067, 4083, 4092, 4095, 4091, 4081,
4065, 4043, 4014, 3979, 3938, 3891, 3838, 3780, 3717, 3648,
3574, 3495, 3412, 3325, 3234, 3139, 3041, 2939, 2835, 2729,
2620, 2510, 2398, 2285, 2171, 2057, 1943, 1829, 1716, 1604,
1493, 1384, 1278, 1173, 1072, 973, 878, 786, 698, 614,
535, 461, 391, 327, 268, 214, 166, 124, 88, 58,
34, 17, 5, 0, 2, 9, 23, 43, 69, 102,
140, 184, 234, 290, 351, 417, 489, 565, 645, 730,
819, 912, 1008, 1108, 1210, 1315, 1422, 1531, 1641, 1753,
1866, 1979, 2093, 2206, 2319, 2431, 2542, 2651, 2758, 2864,
2966, 3066, 3163, 3256, 3346, 3431, 3513, 3590, 3662, 3729,
3791, 3848, 3899, 3944, 3984, 4018, 4046, 4067, 4083, 4092,
4095, 4092, 4082, 4067, 4045, 4017, 3983, 3943, 3897, 3846,
3789, 3727, 3660, 3588, 3511, 3430, 3345, 3255, 3162, 3066,
2966, 2864, 2759, 2652, 2544, 2433, 2322, 2210, 2097, 1984,
1872, 1760, 1648, 1538, 1430, 1323, 1219, 1117, 1018, 922,
830, 741, 657, 576, 500, 429, 362, 301, 245, 194,
149, 110, 76, 49, 27, 12, 3, 0, 3, 13,
28, 50, 77, 111, 150, 195, 246, 302, 364, 430,
501, 577, 658, 742, 831, 923, 1018, 1117, 1218, 1322,
1428, 1536, 1646, 1756, 1868, 1980, 2092, 2204, 2315, 2426,
2536, 2644, 2750, 2854, 2956, 3055, 3151, 3244, 3333, 3418,
3499, 3576, 3648, 3716, 3778, 3835, 3887, 3934, 3974, 4009,
4038, 4062, 4079, 4090, 4095, 4094, 4086, 4073, 4054, 4028,
3997, 3960, 3917, 3869, 3815, 3756, 3692, 3623, 3549, 3471,
3389, 3302, 3212, 3119, 3022, 2922, 2820, 2716, 2609, 2501,
2392, 2281, 2170, 2059, 1947, 1836, 1726, 1616, 1508, 1401,
1296, 1194, 1094, 997, 903, 812, 725, 642, 563, 489,
419, 354, 294, 239, 189, 145, 107, 74, 48, 27,
12, 3, 0, 3, 12, 28, 49, 76, 109, 147,
191, 241, 296, 356, 421, 491, 565, 644, 727, 814,
904, 998, 1094, 1194, 1296, 1400, 1507, 1614, 1723, 1833,
1944, 2055, 2165, 2276, 2386, 2495, 2602, 2708, 2812, 2913,
3012, 3109, 3202, 3292, 3378, 3460, 3538, 3612, 3681, 3745,
3804, 3859, 3908, 3951, 3989, 4021, 4048, 4069, 4083, 4092,
4095, 4092, 4083, 4068, 4047, 4020, 3988, 3950, 3906, 3857,
3803, 3743, 3679, 3610, 3537, 3459, 3377, 3291, 3201, 3109,
3013, 2914, 2813, 2709, 2604, 2497, 2389, 2280, 2170, 2060,
1950, 1840, 1731, 1622, 1515, 1410, 1306, 1204, 1105, 1009,
915, 825, 739, 656, 577, 503, 433, 368, 307, 252,
202, 157, 117, 83, 55, 33, 16, 5, 0, 1,
8, 21, 40, 64, 94, 130, 171, 217, 269, 326,
388, 455, 526, 602, 681, 765, 852, 943, 1037, 1134,
1233, 1335, 1439, 1544, 1651, 1759, 1868, 1977, 2087, 2196,
2305, 2414, 2521, 2627, 2731, 2833, 2933, 3030, 3125, 3216,
3305, 3389, 3470, 3546, 3619, 3687, 3750, 3808, 3861, 3909,
3952, 3990, 4021, 4048, 4068, 4083, 4092, 4095, 4092, 4084,
4069, 4049, 4024, 3992, 3955, 3913, 3866, 3813, 3755, 3692,
3625, 3553, 3477, 3397, 3313, 3226, 3135, 3041, 2945, 2845,
2744, 2641, 2536, 2429, 2322, 2213, 2105, 1996, 1887, 1779,
1671, 1565, 1460, 1356, 1255, 1156, 1059, 965, 874, 787,
703, 623, 547, 475, 408, 345, 287, 234, 186, 144,
106, 74, 48, 28, 13, 3, 0, 2, 10, 24,
44, 69, 99, 135, 177, 224, 275, 332, 394, 460,
531, 606, 685, 767, 854, 943, 1036, 1132, 1230, 1330,
1432, 1537, 1642, 1749, 1856, 1964, 2072, 2181, 2288, 2395,
2501, 2606, 2710, 2811, 2910, 3007, 3101, 3192, 3280, 3365,
3446, 3523, 3596, 3664, 3728, 3787, 3842, 3891, 3936, 3975,
4009, 4037, 4060, 4077, 4088, 4094, 4094, 4089, 4078, 4061,
4038, 4011, 3977, 3939, 3895, 3846, 3792, 3733, 3669, 3601,
3529, 3452, 3372, 3288, 3201, 3110, 3017, 2921, 2822, 2722,
2619, 2515, 2410, 2303, 2196, 2089, 1981, 1874, 1767, 1661,
1556, 1452, 1350, 1250, 1153, 1057, 965, 875, 788, 706,
626, 551, 480, 413, 351, 293, 240, 192, 149, 112,
79, 53, 31, 15, 5, 0, 1, 8, 20, 38,
61, 89, 123, 163, 207, 257, 311, 370, 434, 502,
574, 650, 730, 814, 901, 991, 1084, 1180, 1278, 1378,
1480, 1584, 1688, 1794, 1900, 2007, 2114, 2221, 2327, 2432,
2537, 2640, 2741, 2841, 2938, 3033, 3125, 3214, 3300, 3383,
3462, 3537, 3608, 3675, 3738, 3796, 3849, 3897, 3940, 3978,
4011, 4039, 4061, 4077, 4089, 4094, 4094, 4089, 4078, 4061,
4040, 4012, 3980, 3942, 3899, 3851, 3798, 3741, 3679, 3612,
3541, 3467, 3388, 3306, 3220, 3132, 3040, 2946, 2849, 2750,
2650, 2547, 2444, 2339, 2233, 2127, 2021, 1915, 1809, 1704,
1600, 1497, 1396, 1296, 1198, 1103, 1010, 920, 833, 750,
669, 593, 520, 452, 387, 328, 272, 222, 176, 136,
101, 70, 46, 26, 12, 3, 0, 2, 10, 23,
42, 66, 95, 129, 169, 213, 263, 317, 376, 439,
507, 578, 654, 733, 816, 902, 991, 1082, 1177, 1274,
1372, 1473, 1575, 1678, 1782, 1887, 1993, 2098, 2204, 2309,
2413, 2516, 2618, 2718, 2817, 2914, 3008, 3100, 3189, 3275,
3357, 3437, 3512, 3584, 3651, 3715, 3774, 3828, 3877, 3922,
3962, 3997, 4026, 4051, 4070, 4084, 4092, 4095, 4093, 4085,
4072, 4053, 4029, 4000, 3966, 3927, 3883, 3834, 3780, 3722,
3659, 3592, 3521, 3447, 3368, 3286, 3201, 3113, 3022, 2928,
2833, 2735, 2635, 2534, 2431, 2328, 2224, 2119, 2014, 1910,
1805, 1702, 1599, 1497, 1397, 1299, 1202, 1108, 1016, 927,
841, 758, 679, 603, 530, 462, 398, 338, 283, 232,
186, 145, 109, 78, 52, 31, 16, 5, 0, 1,
7, 18, 34, 56, 82, 114, 151, 193, 240, 291,
347, 407, 472, 540, 613, 689, 769, 852, 938, 1027,
1118, 1213, 1309, 1407, 1507, 1608, 1710, 1813, 1917, 2021,
2125, 2229, 2332, 2435, 2536, 2637, 2736, 2833, 2928, 3021,
3111, 3198, 3283, 3364, 3442, 3516, 3587, 3653, 3716, 3774,
3827, 3876, 3921, 3960, 3995, 4024, 4049, 4068, 4082, 4091,
4095, 4093, 4086, 4074, 4057, 4035, 4007, 3975, 3937, 3895,
3848, 3796, 3740, 3679, 3615, 3546, 3474, 3398, 3318, 3235,
3149, 3061, 2970, 2876, 2780, 2683, 2584, 2483, 2382, 2279,
2176, 2073, 1969, 1866, 1763, 1661, 1560, 1461, 1363, 1266,
1172, 1079, 990, 903, 818, 737, 660, 586, 515, 449,
386, 328, 274, 225, 180, 140, 105, 75, 50, 30,
15, 5, 0, 1, 7, 18, 34, 55, 81, 112,
148, 189, 234, 285, 339, 398, 461, 528, 599, 673,
751, 833, 917, 1004, 1094, 1186, 1280, 1376, 1474, 1574,
1674, 1776, 1878, 1980, 2083, 2186, 2288, 2389, 2490, 2590,
2688, 2785, 2880, 2972, 3063, 3150, 3235, 3317, 3396, 3472,
3543, 3612, 3676, 3736, 3792, 3843, 3890, 3932, 3970, 4003,
4031, 4054, 4072, 4085, 4092, 4095, 4093, 4085, 4072, 4055,
4032, 4004, 3972, 3934, 3892, 3846, 3795, 3739, 3680, 3616,
3548, 3477, 3402, 3324, 3242, 3158, 3071, 2981, 2889, 2795,
2699, 2601, 2503, 2403, 2302, 2200, 2098, 1996, 1894, 1793,
1692, 1592, 1493, 1396, 1300, 1206, 1114, 1025, 938, 854,
773, 694, 620, 549, 481, 418, 358, 303, 252, 205,
163, 125, 93, 65, 42, 24, 11, 3, 0, 2,
9, 21, 39, 61, 88, 119, 156, 197, 243, 293,
347, 406, 469, 535, 606, 679, 756, 837, 920, 1006,
1094, 1185, 1278, 1373, 1470, 1568, 1667, 1767, 1867, 1968,
2070, 2171, 2272, 2372, 2472, 2570, 2667, 2763, 2857, 2949,
3038, 3126, 3210, 3292, 3371, 3446, 3518, 3587, 3652, 3713,
3769, 3822, 3870, 3914, 3953, 3988, 4018, 4043, 4063, 4078,
4089, 4094, 4095, 4090, 4081, 4066, 4047, 4023, 3994, 3960,
3922, 3879, 3832, 3780, 3724, 3665, 3601, 3533, 3462, 3388,
3310, 3229, 3146, 3059, 2971, 2880, 2787, 2692, 2596, 2498,
2400, 2300, 2200, 2100, 1999, 1899, 1798, 1699, 1600, 1503,
1407, 1312, 1219, 1128, 1040, 954, 870, 789, 712, 637,
566, 499, 435, 375, 319, 268, 220, 177, 139, 105,
75, 51, 31, 16, 6, 1, 0, 5, 15, 29,
48, 72, 101, 134, 172, 215, 261, 312, 368, 427,
490, 556, 627, 700, 777, 857, 940, 1025, 1113, 1203,
1295, 1389, 1484, 1581, 1679, 1777, 1877, 1976, 2076, 2176,
2275, 2374, 2472, 2569, 2665, 2759, 2852, 2943, 3031, 3118,
3201, 3282, 3360, 3435, 3507, 3575, 3640, 3700, 3757, 3810,
3858, 3903, 3943, 3978, 4009, 4035, 4057, 4073, 4085, 4093,
4095, 4093, 4085, 4073, 4056, 4035, 4008, 3977, 3942, 3902,
3858, 3809, 3757, 3700, 3639, 3575, 3507, 3436, 3361, 3284,
3203, 3120, 3034, 2946, 2856, 2764, 2670, 2575, 2478, 2381,
2283, 2184, 2085, 1986, 1887, 1789, 1691, 1594, 1498, 1403,
1310, 1218, 1129, 1041, 956, 874, 794, 717, 644, 573,
507, 443, 384, 328, 276, 229, 186, 147, 112, 82,
57, 36, 20, 9, 2, 0, 3, 11, 23, 40,
62, 88, 119, 154, 194, 238, 286, 339, 395, 455,
519, 586, 657, 731, 808, 888, 970, 1055, 1142, 1232,
1323, 1416, 1510, 1606, 1702, 1799, 1897, 1996, 2094, 2192,
2290, 2387, 2484, 2579, 2674, 2767, 2858, 2947, 3034, 3119,
3202, 3281, 3358, 3432, 3503, 3570, 3634, 3694, 3751, 3803,
3852, 3896, 3936, 3972, 4003, 4030, 4052, 4070, 4083, 4091,
4095, 4094, 4088, 4078, 4063, 4043, 4019, 3990, 3957, 3920,
3878, 3832, 3782, 3728, 3670, 3609, 3544, 3475, 3403, 3329,
3251, 3171, 3088, 3002, 2915, 2825, 2734, 2641, 2547, 2452,
2356, 2259, 2161, 2064, 1966, 1869, 1772, 1676, 1580, 1486,
1393, 1301, 1211, 1123, 1037, 953, 872, 794, 718, 646,
576, 510, 448, 389, 333, 282, 235, 192, 153, 118,
88, 62, 40, 23, 11, 3, 0, 2, 8, 18,
34, 53, 78, 107, 140, 177, 219, 264, 314, 368,
425, 486, 551, 619, 690, 764, 841, 920, 1003, 1087,
1174, 1263, 1353, 1445, 1538, 1633, 1728, 1824, 1921, 2017,
2114, 2211, 2307, 2403, 2498, 2592, 2684, 2776, 2865, 2953,
3039, 3122, 3203, 3282, 3358, 3431, 3500, 3567, 3630, 3689,
3745, 3797, 3846, 3890, 3930, 3966, 3997, 4025, 4048, 4066,
4080, 4089, 4094, 4095, 4090, 4082, 4068, 4051, 4029, 4002,
3971, 3936, 3897, 3853, 3806, 3754, 3699, 3641, 3578, 3513,
3444, 3372, 3297, 3219, 3139, 3057, 2972, 2885, 2796, 2706,
2614, 2521, 2427, 2332, 2237, 2141, 2045, 1949, 1853, 1757,
1663, 1569, 1476, 1384, 1294, 1206, 1119, 1035, 952, 873,
795, 721, 649, 581, 515, 453, 395, 340, 289, 242,
199, 160, 125, 94, 67, 45, 27, 14, 5, 1,
1, 5, 14, 27, 45, 67, 94, 125, 160, 199,
242, 289, 340, 394, 452, 514, 579, 647, 718, 792,
869, 948, 1030, 1114, 1200, 1288, 1377, 1468, 1560, 1653,
1748, 1842, 1937, 2033, 2128, 2223, 2318, 2412, 2505, 2598,
2689, 2779, 2867, 2953, 3038, 3120, 3200, 3277, 3352, 3424,
3493, 3559, 3621, 3680, 3736, 3788, 3836, 3880, 3921, 3957,
3989, 4017, 4041, 4061, 4076, 4087, 4093, 4095, 4093, 4086,
4075, 4059, 4039, 4015, 3987, 3954, 3917, 3877, 3832, 3784,
3732, 3676, 3617, 3554, 3489, 3420, 3348, 3273, 3196, 3117,
3035, 2951, 2865, 2777, 2688, 2597, 2506, 2413, 2319, 2225,
2131, 2036, 1942, 1848, 1754, 1661, 1568, 1477, 1387, 1298,
1211, 1126, 1042, 961, 882, 806, 732, 661, 593, 528,
467, 408, 354, 302, 255, 211, 171, 136, 104, 76,
53, 34, 19, 8, 2, 0, 2, 9, 20, 35,
55, 79, 107, 139, 175, 215, 258, 306, 357, 412,
471, 532, 597, 665, 736, 809, 885, 964, 1045, 1128,
1212, 1299, 1387, 1477, 1567, 1659, 1752, 1845, 1938, 2032,
2126, 2220, 2313, 2406, 2497, 2588, 2678, 2767, 2854, 2939,
3022, 3104, 3183, 3260, 3334, 3405, 3474, 3540, 3602, 3661,
3717, 3770, 3818, 3863, 3905, 3942, 3976, 4005, 4030, 4052,
4069, 4082, 4090, 4094, 4094, 4090, 4082, 4069, 4052, 4031,
4006, 3977, 3944, 3906, 3865, 3821, 3772, 3720, 3665, 3606,
3544, 3478, 3410, 3339, 3266, 3190, 3111, 3030, 2948, 2863,
2777, 2689, 2600, 2510, 2419, 2327, 2234, 2142, 2049, 1956,
1863, 1770, 1678, 1587, 1497, 1408, 1321, 1235, 1150, 1068,
987, 909, 833, 759, 688, 620, 555, 493, 434, 379,
327, 278, 234, 192, 155, 122, 92, 67, 45, 28,
15, 6, 1, 0, 4, 12, 23, 39, 60, 84,
112, 144, 180, 220, 264, 311, 362, 416, 473, 534,
598, 665, 734, 806, 881, 958, 1038, 1119, 1202, 1287,
1374, 1461, 1551, 1641, 1731, 1823, 1915, 2007, 2099, 2191,
2283, 2374, 2465, 2555, 2644, 2731, 2817, 2902, 2985, 3066,
3145, 3221, 3295, 3367, 3436, 3502, 3566, 3626, 3683, 3737,
3787, 3834, 3877, 3916, 3952, 3984, 4012, 4036, 4056, 4072,
4083, 4091, 4095, 4094, 4090, 4081, 4068, 4051, 4030, 4005,
3977, 3944, 3907, 3867, 3823, 3776, 3725, 3671, 3613, 3553,
3489, 3422, 3353, 3281, 3207, 3130, 3052, 2971, 2888, 2804,
2718, 2631, 2543, 2453, 2363, 2273, 2181, 2090, 1999, 1907,
1816, 1726, 1636, 1547, 1459, 1372, 1286, 1202, 1120, 1039,
961, 885, 811, 739, 670, 604, 541, 480, 423, 369,
319, 272, 228, 188, 152, 119, 90, 66, 45, 28,
15, 6, 1, 0, 3, 11, 22, 37, 56, 80,
107, 138, 172, 211, 253, 298, 347, 399, 455, 513,
575, 640, 707, 777, 849, 924, 1001, 1080, 1161, 1244,
1328, 1414, 1501, 1589, 1677, 1767, 1857, 1947, 2038, 2129,
2219, 2309, 2399, 2488, 2576, 2663, 2749, 2833, 2916, 2997,
3076, 3153, 3228, 3301, 3372, 3439, 3504, 3566, 3625, 3682,
3734, 3784, 3830, 3873, 3912, 3948, 3979, 4007, 4032, 4052,
4068, 4081, 4090, 4094, 4095, 4091, 4084, 4073, 4058, 4039,
4016, 3989, 3958, 3924, 3886, 3845, 3800, 3751, 3700, 3645,
3587, 3526, 3463, 3396, 3327, 3256, 3182, 3106, 3028, 2948,
2866, 2783, 2699, 2613, 2526, 2438, 2349, 2260, 2171, 2081,
1991, 1901, 1812, 1723, 1634, 1547, 1460, 1375, 1291, 1208,
1127, 1048, 971, 895, 822, 752, 684, 618, 555, 495,
438, 384, 334, 286, 242, 202, 165, 132, 102, 76,
54, 35, 21, 10, 3, 0, 1, 6, 15, 27,
44, 64, 88, 116, 148, 183, 222, 264, 309, 358,
410, 465, 523, 584, 648, 715, 784, 855, 929, 1004,
1082, 1162, 1243, 1326, 1410, 1495, 1581, 1668, 1756, 1845,
1933, 2022, 2111, 2200, 2289, 2377, 2465, 2551, 2637, 2722,
2805, 2887, 2967, 3046, 3122, 3197, 3269, 3339, 3407, 3472,
3535, 3594, 3651, 3705, 3755, 3803, 3847, 3887, 3925, 3958,
3988, 4015, 4037, 4056, 4072, 4083, 4091, 4095, 4094, 4091,
4083, 4071, 4056, 4037, 4014, 3988, 3958, 3924, 3887, 3846,
3802, 3755, 3705, 3651, 3595, 3535, 3473, 3409, 3341, 3272,
3200, 3125, 3049, 2971, 2892, 2811, 2728, 2644, 2559, 2473,
2386, 2299, 2211, 2123, 2035, 1947, 1859, 1771, 1684, 1598,
1512, 1428, 1344, 1262, 1182, 1103, 1025, 950, 877, 805,
737, 670, 606, 545, 487, 431, 379, 329, 283, 240,
201, 164, 132, 102, 77, 55, 36, 22, 11, 4,
0, 1, 5, 13, 24, 40, 59, 81, 108, 138,
171, 208, 248, 291, 338, 388, 440, 496, 555, 616,
680, 746, 815, 886, 959, 1034, 1111, 1190, 1270, 1352,
1435, 1519, 1604, 1690, 1776, 1863, 1950, 2037, 2125, 2212,
2299, 2385, 2471, 2556, 2640, 2723, 2805, 2885, 2964, 3041,
3117, 3190, 3261, 3331, 3397, 3462, 3523, 3582, 3639, 3692,
3743, 3790, 3834, 3875, 3913, 3947, 3978, 4005, 4029, 4049,
4065, 4078, 4088, 4093, 4095, 4093, 4088, 4078, 4066, 4049,
4029, 4005, 3978, 3948, 3914, 3876, 3835, 3792, 3744, 3694,
3641, 3585, 3527, 3466, 3402, 3335, 3267, 3196, 3123, 3049,
2972, 2894, 2814, 2733, 2651, 2568, 2484, 2399, 2313, 2227,
2141, 2054, 1968, 1881, 1795, 1710, 1625, 1540, 1457, 1375,
1294, 1214, 1136, 1059, 985, 912, 841, 772, 706, 642,
580, 521, 465, 412, 361, 314, 270, 228, 190, 156,
124, 97, 72, 51, 34, 20, 10, 3, 0, 1,
5, 13, 24, 39, 58, 80, 106, 135, 167, 203,
242, 284, 329, 377, 428, 482, 539, 599, 660, 725,
792, 860, 931, 1004, 1079, 1156, 1234, 1313, 1394, 1476,
1558, 1642, 1727, 1811, 1897, 1982, 2068, 2154, 2239, 2324,
2409, 2493, 2576, 2658, 2740, 2819, 2898, 2975, 3051, 3124,
3196, 3266, 3334, 3399, 3462, 3523, 3581, 3636, 3688, 3738,
3785, 3828, 3869, 3906, 3941, 3971, 3999, 4023, 4044, 4061,
4075, 4085, 4092, 4095, 4094, 4090, 4083, 4072, 4057, 4039,
4018, 3993, 3965, 3933, 3898, 3860, 3819, 3775, 3728, 3677,
3625, 3569, 3511, 3450, 3387, 3321, 3254, 3184, 3112, 3039,
2964, 2887, 2809, 2729, 2649, 2567, 2484, 2401, 2317, 2233,
2148, 2063, 1978, 1894, 1809, 1725, 1642, 1559, 1477, 1396,
1317, 1238, 1161, 1085, 1011, 939, 869, 801, 735, 671,
609, 550, 494, 440, 389, 341, 296, 253, 214, 178,
145, 116, 89, 66, 47, 30, 18, 8, 2, 0,
1, 6, 14, 25, 40, 59, 80, 105, 134, 165,
200, 238, 279, 323, 370, 419, 472, 527, 584, 645,
707, 772, 839, 908, 978, 1051, 1125, 1201, 1279, 1357,
1437, 1518, 1599, 1682, 1764, 1848, 1932, 2016, 2100, 2183,
2267, 2350, 2433, 2515, 2596, 2677, 2756, 2834, 2911, 2986,
3060, 3132, 3202, 3270, 3337, 3401, 3462, 3522, 3579, 3633,
3685, 3733, 3780, 3823, 3863, 3900, 3934, 3965, 3993, 4017,
4038, 4056, 4071, 4082, 4090, 4094, 4095, 4092, 4087, 4077,
4065, 4049, 4029, 4007, 3981, 3952, 3919, 3884, 3846, 3804,
3760, 3713, 3663, 3611, 3555, 3498, 3438, 3375, 3311, 3244,
3176, 3105, 3033, 2960, 2884, 2808, 2730, 2651, 2571, 2490,
2408, 2326, 2244, 2161, 2078, 1995, 1912, 1829, 1746, 1665,
1583, 1503, 1423, 1345, 1267, 1191, 1117, 1043, 972, 902,
834, 769, 705, 644, 584, 528, 473, 422, 373, 326,
283, 242, 205, 170, 139, 110, 85, 63, 44, 29,
17, 8, 2, 0, 1, 6, 13, 25, 39, 57,
78, 102, 129, 159, 193, 229, 269, 311, 356, 404,
454, 508, 563, 621, 681, 744, 808, 875, 944, 1014,
1086, 1159, 1234, 1310, 1388, 1466, 1546, 1626, 1707, 1788,
1870, 1952, 2034, 2116, 2198, 2280, 2362, 2443, 2523, 2602,
2681, 2759, 2835, 2910, 2984, 3056, 3127, 3196, 3263, 3328,
3391, 3451, 3510, 3566, 3620, 3671, 3720, 3766, 3809, 3849,
3887, 3921, 3953, 3981, 4007, 4029, 4048, 4064, 4076, 4086,
4092, 4095, 4094, 4091, 4084, 4074, 4060, 4044, 4024, 4001,
3975, 3946, 3914, 3879, 3841, 3800, 3756, 3710, 3661, 3609,
3555, 3499, 3440, 3380, 3317, 3252, 3185, 3116, 3046, 2974,
2900, 2826, 2750, 2673, 2595, 2516, 2436, 2356, 2275, 2194,
2113, 2032, 1950, 1869, 1788, 1708, 1628, 1549, 1471, 1393,
1317, 1241, 1167, 1095, 1024, 954, 886, 820, 756, 694,
635, 577, 522, 469, 419, 371, 325, 283, 243, 206,
172, 141, 113, 88, 66, 47, 32, 19, 10, 3,
0, 0, 4, 10, 20, 33, 49, 68, 90, 116,
144, 175, 209, 246, 286, 328, 374, 421, 472, 524,
579, 637, 696, 758, 822, 887, 954, 1023, 1094, 1166,
1239, 1314, 1390, 1466, 1544, 1623, 1702, 1781, 1861, 1941,
2022, 2102, 2183, 2263, 2343, 2422, 2501, 2579, 2656, 2732,
2807, 2881, 2954, 3025, 3095, 3163, 3230, 3294, 3357, 3418,
3476, 3532, 3587, 3638, 3687, 3734, 3778, 3820, 3859, 3895,
3928, 3958, 3985, 4010, 4031, 4049, 4065, 4077, 4086, 4092,
4095, 4094, 4091, 4085, 4075, 4062, 4046, 4028, 4006, 3981,
3953, 3923, 3889, 3853, 3814, 3772, 3728, 3681, 3631, 3580,
3526, 3469, 3411, 3350, 3288, 3223, 3157, 3090, 3020, 2949,
2877, 2804, 2729, 2654, 2577, 2500, 2422, 2343, 2264, 2185,
2106, 2026, 1947, 1867, 1788, 1710, 1632, 1554, 1477, 1401,
1327, 1253, 1180, 1109, 1039, 971, 904, 839, 776, 715,
656, 599, 544, 491, 441, 393, 347, 304, 264, 227,
192, 160, 130, 104, 81, 60, 43, 28, 16, 8,
3, 0, 1, 4, 11, 21, 34, 50, 68, 90,
115, 142, 173, 206, 242, 280, 321, 365, 411, 460,
511, 564, 619, 677, 736, 798, 861, 926, 993, 1061,
1131, 1202, 1274, 1348, 1422, 1498, 1574, 1651, 1728, 1806,
1885, 1963, 2042, 2120, 2199, 2277, 2355, 2432, 2509, 2585,
2661, 2735, 2808, 2881, 2952, 3022, 3090, 3157, 3222, 3285,
3347, 3406, 3464, 3519, 3573, 3624, 3673, 3719, 3763, 3805,
3844, 3880, 3913, 3944, 3972, 3998, 4020, 4040, 4056, 4070,
4081, 4088, 4093, 4095, 4094, 4090, 4083, 4072, 4059, 4043,
4025, 4003, 3978, 3951, 3921, 3888, 3852, 3814, 3774, 3730,
3685, 3637, 3587, 3534, 3479, 3423, 3364, 3303, 3241, 3177,
3111, 3044, 2975, 2905, 2834, 2762, 2688, 2614, 2539, 2463,
2387, 2310, 2232, 2155, 2077, 2000, 1922, 1845, 1767, 1691,
1615, 1539, 1464, 1390, 1317, 1245, 1175, 1105, 1037, 970,
905, 842, 780, 720, 662, 606, 552, 500, 451, 403,
358, 316, 276, 238, 203, 171, 142, 115, 91, 69,
51, 35, 22, 12, 5, 1, 0, 2, 6, 14,
24, 38, 54, 73, 94, 119, 146, 176, 209, 244,
282, 322, 365, 410, 457, 507, 559, 612, 668, 726,
786, 847, 910, 975, 1041, 1109, 1178, 1248, 1320, 1392,
1465, 1539, 1614, 1689, 1765, 1841, 1918, 1995, 2071, 2148,
2225, 2301, 2377, 2452, 2527, 2601, 2675, 2747, 2819, 2889,
2958, 3026, 3093, 3158, 3221, 3283, 3343, 3401, 3457, 3512,
3564, 3614, 3661, 3707, 3750, 3791, 3829, 3865, 3898, 3929,
3957, 3982, 4005, 4025, 4042, 4056, 4068, 4076, 4082, 4086,
4086, 4083, 4078, 4070, 4059, 4045, 4028, 4009, 3987, 3963,
3935, 3906, 3873, 3838, 3801, 3761, 3719, 3675, 3628, 3579,
3528, 3475, 3421, 3364, 3305, 3245, 3183, 3120, 3055, 2989,
2922, 2853, 2784, 2713, 2641, 2569, 2496, 2423, 2349, 2274,
2200, 2125, 2050, 1975, 1900, 1826, 1752, 1678, 1605, 1533,
1461, 1390, 1320, 1251, 1183, 1116, 1051, 987, 925, 864,
805, 747, 691, 637, 586, 536, 488, 442, 399, 358,
319, 282, 248, 217, 187, 161, 137, 115, 97, 80,
67, 56, 48, 43, 40, 40, 43, 49, 57, 68,
81, 97, 116, 138, 162, 188, 217, 249, 282, 319,
357, 398, 441, 486, 533, 582, 634, 687, 741, 798,
856, 916, 977, 1040, 1104, 1169, 1236, 1303, 1371, 1441,
1511, 1581, 1653, 1724, 1797, 1869, 1942, 2014, 2087, 2160,
2232, 2305, 2377, 2448, 2519, 2589, 2658, 2727, 2794, 2861,
2926, 2991, 3053, 3115, 3175, 3234, 3291, 3346, 3400, 3451,
3501, 3549, 3595, 3639, 3681, 3720, 3757, 3792, 3825, 3855,
3883, 3909, 3932, 3952, 3970, 3985, 3998, 4008, 4016, 4021,
4024, 4023, 4021, 4015, 4007, 3997, 3984, 3968, 3950, 3929,
3906, 3881, 3853, 3823, 3790, 3755, 3718, 3679, 3637, 3594,
3549, 3501, 3452, 3401, 3348, 3294, 3238, 3180, 3121, 3060,
2999, 2936, 2872, 2807, 2741, 2674, 2606, 2538, 2469, 2399,
2329, 2259, 2188, 2118, 2047, 1976, 1906, 1835, 1765, 1696,
1627, 1558, 1490, 1423, 1357, 1292, 1227, 1164, 1102, 1041,
982, 924, 867, 812, 759, 707, 657, 609, 563, 519,
476, 436, 398, 362, 328, 297, 267, 241, 216, 194,
174, 156, 141, 129, 119, 111, 106, 103, 103, 105,
110, 118, 128, 140, 154, 172, 191, 213, 237, 264,
292, 323, 357, 392, 429, 469, 510, 554, 599, 646,
695, 746, 798, 852, 907, 963, 1022, 1081, 1141, 1203,
1266, 1329, 1394, 1459, 1525, 1592, 1659, 1726, 1794, 1863,
1931, 2000, 2068, 2137, 2205, 2274, 2341, 2409, 2476, 2542,
2608, 2673, 2737, 2800, 2862, 2924, 2984, 3043, 3100, 3156,
3211, 3264, 3316, 3366, 3415, 3461, 3506, 3549, 3590, 3630,
3667, 3702, 3735, 3766, 3794, 3821, 3845, 3867, 3887, 3904,
3919, 3932, 3942, 3950, 3956, 3959, 3960, 3958, 3954, 3948,
3939, 3928, 3915, 3899, 3881, 3861, 3839, 3814, 3787, 3758,
3727, 3693, 3658, 3621, 3582, 3541, 3498, 3453, 3407, 3359,
3309, 3258, 3205, 3151, 3096, 3039, 2981, 2922, 2862, 2801,
2739, 2676, 2613, 2549, 2484, 2419, 2353, 2287, 2221, 2155,
2088, 2022, 1955, 1889, 1823, 1757, 1692, 1627, 1562, 1499,
1436, 1373, 1312, 1251, 1192, 1134, 1077, 1021, 966, 913,
861, 810, 761, 714, 668, 624, 582, 542, 503, 467,
432, 400, 369, 340, 314, 290, 267, 247, 229, 214,
201, 189, 181, 174, 170, 168, 168, 171, 175, 183,
192, 204, 217, 233, 252, 272, 295, 319, 346, 375,
405, 438, 473, 509, 548, 588, 630, 673, 718, 765,
814, 863, 914, 967, 1021, 1076, 1132, 1189, 1247, 1306,
1366, 1427, 1488, 1551, 1613, 1676, 1740, 1804, 1868, 1932,
1997, 2061, 2126, 2190, 2254, 2318, 2381, 2444, 2507, 2569,
2630, 2690, 2750, 2809, 2867, 2924, 2980, 3034, 3088, 3140,
3191, 3240, 3288, 3335, 3380, 3423, 3465, 3505, 3543, 3580,
3615, 3647, 3678, 3707, 3734, 3759, 3782, 3803, 3821, 3838,
3853, 3865, 3875, 3883, 3889, 3893, 3894, 3894, 3891, 3886,
3879, 3869, 3858, 3844, 3829, 3811, 3791, 3769, 3745, 3719,
3692, 3662, 3630, 3597, 3562, 3525, 3486, 3446, 3404, 3360,
3315, 3269, 3221, 3171, 3121, 3069, 3016, 2962, 2907, 2851,
2794, 2736, 2678, 2618, 2559, 2498, 2437, 2376, 2314, 2252,
2190, 2128, 2065, 2003, 1941, 1879, 1817, 1755, 1694, 1633,
1573, 1513, 1454, 1396, 1338, 1282, 1226, 1171, 1117, 1065,
1013, 963, 914, 867, 820, 776, 732, 691, 650, 612,
575, 540, 507, 475, 445, 417, 391, 367, 345, 325,
307, 290, 276, 264, 254, 246, 240, 236, 234, 235,
237, 241, 248, 256, 267, 280, 294, 311, 329, 350,
372, 397, 423, 451, 481, 512, 546, 581, 617, 656,
695, 737, 780, 824, 869, 916, 965, 1014, 1064, 1116,
1169, 1222, 1277, 1332, 1388, 1445, 1502, 1560, 1619, 1678,
1737, 1797, 1857, 1917, 1978, 2038, 2098, 2158, 2218, 2278,
2338, 2397, 2455, 2514, 2571, 2628, 2685, 2740, 2795, 2849,
2902, 2954, 3005, 3055, 3104, 3151, 3198, 3242, 3286, 3328,
3369, 3408, 3446, 3482, 3516, 3549, 3580, 3610, 3637, 3663,
3687, 3709, 3730, 3748, 3765, 3779, 3792, 3803, 3811, 3818,
3823, 3826, 3827, 3826, 3823, 3818, 3811, 3802, 3791, 3778,
3763, 3747, 3728, 3708, 3686, 3662, 3636, 3609, 3580, 3549,
3516, 3482, 3447, 3410, 3371, 3331, 3289, 3247, 3203, 3157,
3111, 3063, 3014, 2965, 2914, 2862, 2810, 2756, 2702, 2647,
2592, 2536, 2480, 2423, 2365, 2308, 2250, 2192, 2134, 2075,
2017, 1959, 1901, 1843, 1786, 1728, 1671, 1615, 1559, 1504,
1449, 1395, 1342, 1289, 1237, 1187, 1137, 1088, 1040, 994,
948, 904, 861, 820, 779, 741, 703, 667, 633, 600,
569, 539, 511, 484, 460, 437, 416, 396, 379, 363,
349, 337, 326, 318, 311, 307, 304, 303, 304, 307,
311, 318, 326, 336, 348, 362, 378, 395, 415, 436,
458, 483, 509, 536, 565, 596, 628, 662, 698, 734,
772, 812, 852, 894, 938, 982, 1027, 1074, 1121, 1170,
1219, 1269, 1320, 1372, 1424, 1477, 1531, 1585, 1640, 1695,
1750, 1806, 1862, 1918, 1974, 2030, 2086, 2142, 2198, 2254,
2309, 2365, 2419, 2474, 2528, 2581, 2634, 2686, 2738, 2788,
2838, 2887, 2935, 2982, 3028, 3073, 3117, 3160, 3202, 3242,
3281, 3319, 3356, 3391, 3424, 3456, 3487, 3516, 3544, 3570,
3594, 3617, 3638, 3657, 3675, 3691, 3706, 3718, 3729, 3738,
3745, 3751, 3755, 3757, 3757, 3755, 3752, 3747, 3740, 3731,
3721, 3709, 3695, 3679, 3662, 3643, 3623, 3601, 3577, 3552,
3525, 3497, 3467, 3435, 3403, 3369, 3333, 3297, 3259, 3219,
3179, 3137, 3095, 3051, 3006, 2961, 2914, 2867, 2819, 2770,
2720, 2669, 2618, 2567, 2515, 2462, 2410, 2356, 2303, 2249,
2195, 2141, 2087, 2033, 1979, 1925, 1871, 1818, 1764, 1711,
1659, 1606, 1555, 1504, 1453, 1403, 1354, 1305, 1257, 1211,
1165, 1119, 1075, 1032, 990, 949, 909, 871, 833, 797,
762, 729, 696, 666, 636, 608, 582, 557, 533, 511,
491, 472, 455, 439, 425, 413, 403, 394, 386, 381,
377, 374, 374, 375, 378, 382, 388, 396, 406, 417,
429, 444, 460, 477, 496, 517, 539, 562, 588, 614,
642, 671, 702, 734, 767, 802, 838, 875, 913, 952,
992, 1034, 1076, 1119, 1163, 1208, 1254, 1301, 1348, 1396,
1444, 1494, 1543, 1593, 1644, 1695, 1746, 1797, 1849, 1901,
1953, 2005, 2057, 2109, 2161, 2213, 2264, 2315, 2367, 2417,
2467, 2517, 2567, 2615, 2664, 2711, 2758, 2804, 2850, 2894,
2938, 2981, 3023, 3064, 3104, 3142, 3180, 3217, 3252, 3286,
3319, 3351, 3381, 3411, 3438, 3465, 3490, 3513, 3535, 3556,
3575, 3593, 3609, 3624, 3637, 3648, 3658, 3667, 3673, 3679,
3682, 3684, 3685, 3684, 3681, 3677, 3671, 3663, 3654, 3644,
3632, 3618, 3603, 3586, 3568, 3549, 3528, 3505, 3481, 3456,
3430, 3402, 3373, 3342, 3311, 3278, 3244, 3209, 3173, 3135,
3097, 3058, 3018, 2977, 2935, 2892, 2848, 2804, 2759, 2713,
2667, 2620, 2573, 2525, 2477, 2428, 2379, 2330, 2280, 2231,
2181, 2131, 2081, 2031, 1981, 1931, 1881, 1832, 1783, 1734,
1685, 1637, 1589, 1541, 1494, 1448, 1402, 1357, 1313, 1269,
1226, 1184, 1143, 1102, 1063, 1025, 987, 950, 915, 881,
847, 815, 785, 755, 726, 699, 673, 649, 626, 604,
583, 564, 546, 530, 515, 502, 490, 479, 470, 463,
457, 452, 449, 447, 447, 449, 452, 456, 462, 470,
478, 489, 500, 514, 528, 544, 562, 581, 601, 622,
645, 669, 694, 721, 749, 778, 808, 839, 872, 905,
940, 975, 1012, 1049, 1087, 1126, 1166, 1207, 1249, 1291,
1334, 1377, 1422, 1466, 1511, 1557, 1603, 1650, 1697, 1744,
1791, 1839, 1886, 1934, 1982, 2030, 2078, 2126, 2173, 2221,
2268, 2316, 2363, 2409, 2455, 2501, 2547, 2592, 2636, 2680,
2723, 2765, 2807, 2849, 2889, 2929, 2967, 3005, 3042, 3078,
3113, 3148, 3181, 3213, 3244, 3274, 3302, 3330, 3356, 3381,
3405, 3428, 3450, 3470, 3489, 3506, 3522, 3537, 3551, 3563,
3574, 3583, 3591, 3598, 3603, 3607, 3609, 3610, 3610, 3608,
3604, 3600, 3594, 3586, 3578, 3567, 3556, 3543, 3529, 3513,
3496, 3478, 3459, 3438, 3416, 3393, 3369, 3343, 3317, 3289,
3260, 3230, 3200, 3168, 3135, 3101, 3066, 3031, 2994, 2957,
2919, 2880, 2840, 2800, 2759, 2718, 2676, 2633, 2590, 2546,
2502, 2458, 2413, 2368, 2323, 2278, 2232, 2186, 2141, 2095,
2049, 2003, 1957, 1912, 1866, 1821, 1776, 1731, 1686, 1642,
1598, 1555, 1512, 1470, 1428, 1386, 1346, 1306, 1266, 1228,
1190, 1153, 1116, 1081, 1046, 1012, 980, 948, 917, 887,
858, 830, 804, 778, 754, 730, 708, 687, 668, 649,
632, 616, 601, 587, 575, 564, 554, 546, 539, 533,
529, 526, 524, 523, 524, 526, 530, 535, 541, 548,
557, 567, 578, 591, 604, 619, 636, 653, 672, 691,
712, 734, 758, 782, 807, 834, 861, 889, 919, 949,
980, 1013, 1046, 1079, 1114, 1150, 1186, 1223, 1260, 1298,
1337, 1377, 1417, 1457, 1498, 1540, 1581, 1624, 1666, 1709,
1752, 1795, 1839, 1882, 1926, 1970, 2014, 2057, 2101, 2145,
2189, 2232, 2275, 2318, 2361, 2404, 2446, 2488, 2529, 2570,
2611, 2651, 2690, 2729, 2767, 2805, 2842, 2878, 2914, 2949,
2983, 3016, 3048, 3080, 3111, 3140, 3169, 3197, 3224, 3250,
3274, 3298, 3321, 3343, 3363, 3382, 3401, 3418, 3434, 3449,
3462, 3475, 3486, 3496, 3505, 3512, 3519, 3524, 3528, 3531,
3532, 3532, 3531, 3529, 3525, 3521, 3515, 3508, 3499, 3490,
3479, 3467, 3454, 3440, 3424, 3408, 3390, 3372, 3352, 3331,
3309, 3286, 3262, 3237, 3211, 3184, 3157, 3128, 3098, 3068,
3037, 3005, 2972, 2939, 2905, 2870, 2834, 2798, 2761, 2724,
2686, 2648, 2609, 2570, 2530, 2490, 2450, 2409, 2368, 2327,
2286, 2245, 2203, 2161, 2119, 2078, 2036, 1994, 1952, 1911,
1869, 1828, 1787, 1746, 1706, 1665, 1625, 1586, 1547, 1508,
1470, 1432, 1395, 1358, 1322, 1287, 1252, 1218, 1184, 1151,
1119, 1088, 1058, 1028, 999, 971, 944, 918, 893, 869,
845, 823, 802, 782, 762, 744, 727, 711, 696, 682,
669, 657, 647, 637, 629, 622, 616, 611, 607, 605,
603, 603, 604, 606, 609, 613, 619, 625, 633, 642,
652, 663, 675, 688, 702, 717, 734, 751, 770, 789,
809, 831, 853, 876, 900, 926, 951, 978, 1006, 1034,
1063, 1093, 1124, 1155, 1187, 1220, 1253, 1287, 1321, 1356,
1392, 1428, 1465, 1501, 1539, 1576, 1614, 1653, 1691, 1730,
1769, 1809, 1848, 1888, 1927, 1967, 2007, 2047, 2086, 2126,
2166, 2205, 2245, 2284, 2323, 2361, 2400, 2438, 2476, 2513,
2550, 2587, 2623, 2659, 2694, 2729, 2763, 2796, 2829, 2862,
2893, 2924, 2955, 2984, 3013, 3041, 3068, 3095, 3120, 3145,
3169, 3192, 3214, 3236, 3256, 3275, 3294, 3311, 3328, 3343,
3358, 3371, 3384, 3395, 3405, 3415, 3423, 3430, 3436, 3442,
3446, 3449, 3450, 3451, 3451, 3450, 3447, 3444, 3439, 3434,
3427, 3419, 3411, 3401, 3390, 3378, 3366, 3352, 3337, 3322,
3305, 3287, 3269, 3249, 3229, 3208, 3186, 3163, 3139, 3115,
3089, 3063, 3036, 3009, 2981, 2952, 2922, 2892, 2861, 2829,
2797, 2765, 2732, 2698, 2664, 2630, 2595, 2560, 2524, 2488,
2452, 2415, 2379, 2342, 2304, 2267, 2230, 2192, 2154, 2117,
2079, 2041, 2003, 1966, 1928, 1891, 1853, 1816, 1779, 1743,
1706, 1670, 1634, 1599, 1563, 1529, 1494, 1460, 1427, 1394,
1361, 1329, 1298, 1267, 1237, 1207, 1178, 1150, 1122, 1095,
1069, 1044, 1019, 995, 972, 949, 928, 907, 887, 868,
850, 833, 817, 802, 787, 774, 761, 749, 739, 729,
720, 712, 706, 700, 695, 691, 688, 687, 686, 686,
687, 689, 692, 696, 701, 707, 714, 722, 731, 741,
752, 764, 776, 790, 804, 820, 836, 853, 871, 890,
909, 930, 951, 973, 996, 1019, 1043, 1068, 1094, 1120,
1147, 1174, 1202, 1231, 1260, 1290, 1321, 1351, 1383, 1414,
1447, 1479, 1512, 1546, 1579, 1613, 1647, 1682, 1717, 1752,
1787, 1822, 1858, 1893, 1929, 1964, 2000, 2036, 2072, 2107,
2143, 2178, 2214, 2249, 2284, 2319, 2354, 2388, 2422, 2456,
2490, 2523, 2556, 2588, 2620, 2652, 2683, 2714, 2744, 2774,
2803, 2831, 2859, 2887, 2914, 2940, 2966, 2990, 3015, 3038,
3061, 3083, 3104, 3125, 3145, 3164, 3182, 3200, 3216, 3232,
3247, 3261, 3274, 3287, 3298, 3309, 3319, 3327, 3335, 3343,
3349, 3354, 3358, 3362, 3364, 3366, 3366, 3366, 3365, 3363,
3360, 3356, 3351, 3346, 3339, 3332, 3323, 3314, 3304, 3293,
3281, 3269, 3255, 3241, 3226, 3210, 3193, 3176, 3158, 3139,
3119, 3099, 3078, 3056, 3033, 3010, 2986, 2962, 2937, 2911,
2885, 2859, 2831, 2804, 2775, 2747, 2717, 2688, 2658, 2627,
2597, 2565, 2534, 2502, 2470, 2438, 2405, 2372, 2339, 2306,
2273, 2240, 2206, 2172, 2139, 2105, 2071, 2038, 2004, 1970,
1937, 1903, 1870, 1837, 1804, 1771, 1738, 1706, 1674, 1642,
1611, 1579, 1548, 1518, 1488, 1458, 1429, 1400, 1371, 1343,
1316, 1289, 1263, 1237, 1211, 1187, 1162, 1139, 1116, 1094,
1072, 1051, 1031, 1011, 992, 974, 957, 940, 924, 909,
894, 881, 868, 856, 844, 834, 824, 815, 807, 800,
794, 788, 784, 780, 777, 774, 773, 773, 773, 774,
776, 779, 783, 787, 792, 798, 805, 813, 822, 831,
841, 852, 864, 876, 889, 903, 918, 934, 950, 967,
984, 1002, 1021, 1041, 1061, 1082, 1103, 1125, 1148, 1171,
1195, 1219, 1244, 1269, 1295, 1321, 1347, 1374, 1402, 1430,
1458, 1487, 1516, 1545, 1575, 1605, 1635, 1665, 1696, 1726,
1757, 1789, 1820, 1851, 1883, 1914, 1946, 1978, 2009, 2041,
2073, 2104, 2136, 2168, 2199, 2230, 2261, 2292, 2323, 2354,
2384, 2414, 2444, 2474, 2503, 2532, 2561, 2589, 2617, 2644,
2672, 2698, 2725, 2751, 2776, 2801, 2825, 2849, 2873, 2895,
2918, 2939, 2960, 2981, 3001, 3020, 3039, 3057, 3074, 3091,
3107, 3123, 3137, 3151, 3165, 3177, 3189, 3200, 3211, 3220,
3229, 3237, 3245, 3251, 3257, 3262, 3267, 3270, 3273, 3275,
3277, 3277, 3277, 3276, 3274, 3272, 3269, 3265, 3260, 3254,
3248, 3241, 3233, 3225, 3216, 3206, 3195, 3184, 3172, 3159,
3146, 3132, 3117, 3101, 3085, 3069, 3052, 3034, 3015, 2996,
2977, 2957, 2936, 2915, 2893, 2871, 2848, 2825, 2801, 2777,
2753, 2728, 2702, 2677, 2651, 2624, 2597, 2570, 2543, 2515,
2487, 2459, 2431, 2402, 2374, 2345, 2316, 2286, 2257, 2227,
2198, 2168, 2139, 2109, 2079, 2049, 2020, 1990, 1961, 1931,
1902, 1872, 1843, 1814, 1785, 1757, 1728, 1700, 1672, 1644,
1617, 1589, 1562, 1536, 1509, 1484, 1458, 1433, 1408, 1384,
1360, 1336, 1313, 1290, 1268, 1246, 1225, 1204, 1184, 1165,
1145, 1127, 1109, 1092, 1075, 1058, 1043, 1028, 1013, 1000,
987, 974, 962, 951, 940, 931, 921, 913, 905, 898,
891, 886, 880, 876, 872, 869, 867, 865, 864, 864,
865, 866, 868, 870, 873, 877, 882, 887, 893, 900,
907, 915, 924, 933, 943, 953, 965, 976, 989, 1002,
1016, 1030, 1045, 1060, 1076, 1092, 1109, 1127, 1145, 1164,
1183, 1202, 1222, 1243, 1264, 1285, 1307, 1329, 1352, 1375,
1398, 1422, 1446, 1470, 1495, 1520, 1545, 1571, 1597, 1623,
1649, 1675, 1702, 1729, 1756, 1783, 1810, 1838, 1865, 1893,
1920, 1948, 1976, 2003, 2031, 2059, 2086, 2114, 2142, 2169,
2197, 2224, 2251, 2278, 2305, 2332, 2358, 2384, 2411, 2436,
2462, 2487, 2513, 2537, 2562, 2586, 2610, 2634, 2657, 2680,
2702, 2724, 2746, 2767, 2788, 2808, 2828, 2848, 2867, 2885,
2903, 2921, 2938, 2954, 2970, 2986, 3001, 3015, 3029, 3042,
3055, 3067, 3079, 3090, 3100, 3110, 3119, 3128, 3136, 3143,
3150, 3156, 3162, 3166, 3171, 3174, 3177, 3180, 3181, 3182,
3183, 3183, 3182, 3181, 3179, 3176, 3173, 3169, 3164, 3159,
3153, 3147, 3140, 3133, 3124, 3116, 3106, 3097, 3086, 3075,
3064, 3052, 3039, 3026, 3012, 2998, 2983, 2968, 2952, 2936,
2919, 2902, 2885, 2867, 2848, 2829, 2810, 2790, 2770, 2750,
2729, 2708, 2687, 2665, 2643, 2620, 2597, 2574, 2551, 2528,
2504, 2480, 2456, 2431, 2407, 2382, 2357, 2332, 2307, 2282,
2256, 2231, 2205, 2179, 2154, 2128, 2102, 2077, 2051, 2025,
1999, 1974, 1948, 1923, 1897, 1872, 1847, 1822, 1797, 1772,
1747, 1723, 1699, 1675, 1651, 1628, 1604, 1581, 1558, 1536,
1514, 1492, 1470, 1449, 1428, 1407, 1387, 1367, 1348, 1329,
1310, 1292, 1274, 1256, 1239, 1223, 1207, 1191, 1176, 1161,
1147, 1133, 1120, 1107, 1095, 1083, 1072, 1061, 1051, 1041,
1032, 1024, 1016, 1008, 1001, 995, 989, 984, 979, 975,
971, 968, 966, 964, 962, 962, 961, 962, 963, 964,
966, 969, 972, 976, 980, 985, 990, 996, 1002, 1009,
1017, 1025, 1033, 1042, 1052, 1062, 1073, 1084, 1095, 1107,
1120, 1133, 1146, 1160, 1174, 1189, 1204, 1220, 1236, 1252,
1269, 1286, 1304, 1321, 1340, 1358, 1377, 1397, 1416, 1436,
1456, 1477, 1497, 1518, 1539, 1561, 1583, 1605, 1627, 1649,
1671, 1694, 1717, 1740, 1763, 1786, 1809, 1833, 1856, 1880,
1904, 1927, 1951, 1975, 1999, 2022, 2046, 2070, 2094, 2117,
2141, 2164, 2188, 2211, 2234, 2258, 2281, 2303, 2326, 2349,
2371, 2393, 2415, 2437, 2459, 2480, 2501, 2522, 2543, 2563,
2583, 2603, 2623, 2642, 2661, 2680, 2698, 2716, 2733, 2750,
2767, 2784, 2800, 2816, 2831, 2846, 2860, 2875, 2888, 2902,
2914, 2927, 2939, 2950, 2961, 2972, 2982, 2992, 3001, 3010,
3018, 3026, 3033, 3040, 3046, 3052, 3057, 3062, 3066, 3070,
3073, 3076, 3078, 3080, 3081, 3082, 3083, 3082, 3082, 3080,
3079, 3077, 3074, 3071, 3067, 3063, 3058, 3053, 3047, 3041,
3035, 3028, 3020, 3012, 3004, 2995, 2986, 2976, 2966, 2955,
2944, 2933, 2921, 2908, 2896, 2883, 2869, 2855, 2841, 2827,
2812, 2796, 2781, 2765, 2749, 2732, 2715, 2698, 2680, 2663,
2644, 2626, 2608, 2589, 2570, 2550, 2531, 2511, 2491, 2471,
2451, 2430, 2410, 2389, 2368, 2347, 2326, 2305, 2283, 2262,
2240, 2219, 2197, 2175, 2153, 2132, 2110, 2088, 2066, 2044,
2023, 2001, 1979, 1958, 1936, 1914, 1893, 1872, 1850, 1829,
1808, 1787, 1767, 1746, 1726, 1705, 1685, 1666, 1646, 1626,
1607, 1588, 1569, 1551, 1532, 1514, 1496, 1479, 1462, 1445,
1428, 1412, 1396, 1380, 1364, 1349, 1335, 1320, 1306, 1292,
1279, 1266, 1253, 1241, 1229, 1218, 1207, 1196, 1186, 1176,
1166, 1157, 1148, 1140, 1132, 1125, 1118, 1111, 1105, 1100,
1094, 1089, 1085, 1081, 1078, 1075, 1072, 1070, 1068, 1067,
1066, 1065, 1065, 1066, 1067, 1068, 1070, 1072, 1075, 1078,
1081, 1085, 1090, 1095, 1100, 1106, 1112, 1118, 1125, 1132,
1140, 1148, 1156, 1165, 1175, 1184, 1194, 1205, 1215, 1226,
1238, 1250, 1262, 1274, 1287, 1300, 1314, 1327, 1341, 1356,
1370, 1385, 1400, 1416, 1432, 1448, 1464, 1480, 1497, 1514,
1531, 1549, 1566, 1584, 1602, 1620, 1638, 1657, 1675, 1694,
1713, 1732, 1751, 1770, 1789, 1809, 1828, 1848, 1868, 1887,
1907, 1927, 1947, 1967, 1986, 2006, 2026, 2046, 2066, 2086,
2105, 2125, 2145, 2164, 2184, 2203, 2223, 2242, 2261, 2280,
2299, 2318, 2337, 2355, 2374, 2392, 2410, 2428, 2445, 2463,
2480, 2497, 2514, 2531, 2548, 2564, 2580, 2596, 2611, 2626,
2641, 2656, 2670, 2685, 2699, 2712, 2725, 2738, 2751, 2763,
2776, 2787, 2799, 2810, 2821, 2831, 2841, 2851, 2860, 2869,
2878, 2886, 2894, 2902, 2909, 2916, 2922, 2929, 2934, 2940,
2945, 2949, 2953, 2957, 2961, 2964, 2967, 2969, 2971, 2972,
2973, 2974, 2975, 2975, 2974, 2973, 2972, 2971, 2969, 2966,
2964, 2961, 2957, 2954, 2949, 2945, 2940, 2935, 2929, 2923,
2917, 2910, 2903, 2896, 2888, 2880, 2871, 2863, 2854, 2844,
2835, 2825, 2814, 2804, 2793, 2782, 2770, 2758, 2746, 2734,
2721, 2709, 2696, 2682, 2669, 2655, 2641, 2627, 2612, 2597,
2582, 2567, 2552, 2536, 2521, 2505, 2489, 2473, 2456, 2440,
2423, 2407, 2390, 2373, 2356, 2338, 2321, 2304, 2286, 2269,
2251, 2233, 2215, 2198, 2180, 2162, 2144, 2126, 2108, 2090,
2072, 2054, 2036, 2019, 2001, 1983, 1965, 1947, 1930, 1912,
1895, 1877, 1860, 1843, 1825, 1808, 1791, 1775, 1758, 1741,
1725, 1709, 1693, 1677, 1661, 1645, 1630, 1614, 1599, 1584,
1570, 1555, 1541, 1527, 1513, 1499, 1486, 1473, 1460, 1447,
1435, 1422, 1410, 1399, 1387, 1376, 1365, 1355, 1344, 1334,
1325, 1315, 1306, 1297, 1289, 1280, 1272, 1265, 1257, 1250,
1244, 1237, 1231, 1225, 1220, 1215, 1210, 1206, 1202, 1198,
1194, 1191, 1188, 1186, 1184, 1182, 1180, 1179, 1178, 1178,
1178, 1178, 1178, 1179, 1180, 1182, 1184, 1186, 1188, 1191,
1194, 1198, 1201, 1205, 1210, 1215, 1220, 1225, 1230, 1236,
1243, 1249, 1256, 1263, 1270, 1278, 1286, 1294, 1303, 1311,
1320, 1330, 1339, 1349, 1359, 1369, 1380, 1391, 1402, 1413,
1424, 1436, 1448, 1460, 1472, 1485, 1497, 1510, 1523, 1537,
1550, 1564, 1577, 1591, 1605, 1620, 1634, 1648, 1663, 1678,
1693, 1708, 1723, 1738, 1753, 1768, 1784, 1799, 1815, 1831,
1846, 1862, 1878, 1894, 1910, 1926, 1942, 1958, 1974, 1990,
2006, 2022, 2038, 2054, 2070, 2086, 2102, 2118, 2133, 2149,
2165, 2181, 2196, 2212, 2227, 2243, 2258, 2273, 2288, 2303,
2318, 2333, 2347, 2362, 2376, 2391, 2405, 2419, 2432, 2446,
2460, 2473, 2486, 2499, 2512, 2525, 2537, 2549, 2561, 2573,
2585, 2596, 2608, 2619, 2630, 2640, 2651, 2661, 2671, 2681,
2690, 2699, 2708, 2717, 2726, 2734, 2742, 2750, 2757, 2764,
2771, 2778, 2784, 2791, 2797, 2802, 2808, 2813, 2818, 2822,
2826, 2830, 2834, 2838, 2841, 2844, 2846, 2849, 2851, 2852,
2854, 2855, 2856, 2857, 2857, 2857, 2857, 2857, 2856, 2855,
2853, 2852, 2850, 2848, 2845, 2843, 2840, 2837, 2833, 2829,
2825, 2821, 2817, 2812, 2807, 2801, 2796, 2790, 2784, 2778,
2771, 2764, 2757, 2750, 2743, 2735, 2727, 2719, 2711, 2702,
2693, 2684, 2675, 2666, 2656, 2646, 2636, 2626, 2616, 2605,
2595, 2584, 2573, 2561, 2550, 2539, 2527, 2515, 2503, 2491,
2479, 2466, 2454, 2441, 2429, 2416, 2403, 2390, 2377, 2363,
2350, 2337, 2323, 2310, 2296, 2282, 2268, 2255, 2241, 2227,
2213, 2199, 2185, 2171, 2157, 2143, 2129, 2114, 2100, 2086,
2072, 2058, 2044, 2030, 2016, 2002, 1988, 1974, 1960, 1946,
1932, 1918, 1905, 1891, 1877, 1864, 1851, 1837, 1824, 1811,
1798, 1785, 1772, 1759, 1746, 1734, 1721, 1709, 1697, 1685,
1673, 1661, 1650, 1638, 1627, 1615, 1604, 1593, 1583, 1572,
1562, 1551, 1541, 1532, 1522, 1512, 1503, 1494, 1485, 1476,
1467, 1459, 1451, 1443, 1435, 1427, 1420, 1413, 1406, 1399,
1392, 1386, 1380, 1374, 1368, 1363, 1358, 1353, 1348, 1343,
1339, 1335, 1331, 1328, 1324, 1321, 1318, 1315, 1313, 1311,
1309, 1307, 1305, 1304, 1303, 1302, 1301, 1301, 1301, 1301,
1301, 1302, 1303, 1304, 1305, 1306, 1308, 1310, 1312, 1315,
1317, 1320, 1323, 1326, 1330, 1333, 1337, 1342, 1346, 1350,
1355, 1360, 1365, 1371, 1376, 1382, 1388, 1394, 1400, 1407,
1414, 1421, 1428, 1435, 1442, 1450, 1458, 1466, 1474, 1482,
1491, 1499, 1508, 1517, 1526, 1535, 1545, 1554, 1564, 1574,
1583, 1593, 1604, 1614, 1624, 1635, 1645, 1656, 1667, 1678,
1689, 1700, 1711, 1722, 1734, 1745, 1757, 1768, 1780, 1792,
1803, 1815, 1827, 1839, 1851, 1863, 1875, 1887, 1899, 1912,
1924, 1936, 1948, 1960, 1973, 1985, 1997, 2009, 2022, 2034,
2046, 2058, 2071, 2083, 2095, 2107, 2119, 2131, 2143, 2155,
2167, 2179, 2191, 2202, 2214, 2226, 2237, 2249, 2260, 2271,
2283, 2294, 2305, 2316, 2327, 2338, 2348, 2359, 2369, 2380,
2390, 2400, 2410, 2420, 2430, 2440, 2449, 2459, 2468, 2477,
2486, 2495, 2504, 2512, 2521, 2529, 2537, 2545, 2553, 2561,
2569, 2576, 2583, 2590, 2597, 2604, 2611, 2617, 2623, 2629,
2635, 2641, 2646, 2652, 2657, 2662, 2667, 2671, 2676, 2680,
2684, 2688, 2692, 2696, 2699, 2702, 2705, 2708, 2711, 2713,
2715, 2717, 2719, 2721, 2722, 2724, 2725, 2726, 2726, 2727,
2727, 2727, 2727, 2727, 2727, 2726, 2725, 2724, 2723, 2722,
2720, 2719, 2717, 2715, 2712, 2710, 2707, 2705, 2702, 2699,
2695, 2692, 2688, 2684, 2680, 2676, 2672, 2667, 2663, 2658,
2653, 2648, 2643, 2637, 2632, 2626, 2620, 2614, 2608, 2601,
2595, 2588, 2582, 2575, 2568, 2561, 2553, 2546, 2538, 2531,
2523, 2515, 2507, 2499, 2491, 2483, 2474, 2466, 2457, 2449,
2440, 2431, 2422, 2413, 2404, 2394, 2385, 2376, 2366, 2357,
2347, 2337, 2328, 2318, 2308, 2298, 2288, 2278, 2268, 2258,
2248, 2238, 2228, 2217, 2207, 2197, 2187, 2176, 2166, 2156,
2145, 2135, 2124, 2114, 2104, 2093, 2083, 2072, 2062, 2052,
2041, 2031, 2021, 2010, 2000, 1990, 1980, 1969, 1959, 1949,
1939, 1929, 1919, 1909, 1899, 1889, 1880, 1870, 1860, 1851,
1841, 1832, 1822, 1813, 1804, 1795, 1785, 1776, 1767, 1759,
1750, 1741, 1733, 1724, 1716, 1707, 1699, 1691, 1683, 1675,
1667, 1660, 1652, 1645, 1637, 1630, 1623, 1616, 1609, 1602,
1596, 1589, 1583, 1577, 1570, 1564, 1558, 1553, 1547, 1542,
1536, 1531, 1526, 1521, 1516, 1512, 1507, 1503, 1498, 1494,
1490, 1486, 1483, 1479, 1476, 1473, 1470, 1467, 1464, 1461,
1459, 1456, 1454, 1452, 1450, 1448, 1447, 1445, 1444, 1443,
1442, 1441, 1440, 1440, 1439, 1439, 1439, 1439, 1439, 1439,
1440, 1440, 1441, 1442, 1443, 1444, 1446, 1447, 1449, 1450,
1452, 1454, 1456, 1459, 1461, 1464, 1467, 1469, 1472, 1476,
1479, 1482, 1486, 1489, 1493, 1497, 1501, 1505, 1509, 1514,
1518, 1523, 1528, 1533, 1537, 1543, 1548, 1553, 1558, 1564,
1570, 1575, 1581, 1587, 1593, 1599, 1605, 1612, 1618, 1625,
1631, 1638, 1645, 1651, 1658, 1665, 1672, 1680, 1687, 1694,
1701, 1709, 1716, 1724, 1732, 1739, 1747, 1755, 1763, 1771,
1779, 1787, 1795, 1803, 1811, 1819, 1827, 1836, 1844, 1852,
1860, 1869, 1877, 1886, 1894, 1903, 1911, 1920, 1928, 1937,
1945, 1954, 1963, 1971, 1980, 1988, 1997, 2005, 2014, 2023,
2031, 2040, 2048, 2057, 2065, 2074, 2082, 2091, 2099, 2108,
2116, 2124, 2133, 2141, 2149, 2157, 2165, 2174, 2182, 2190,
2198, 2206, 2214, 2221, 2229, 2237, 2245, 2252, 2260, 2267,
2275, 2282, 2290, 2297, 2304, 2311, 2318, 2325, 2332, 2339,
2346, 2353, 2359, 2366, 2372, 2379, 2385, 2391, 2397, 2403,
2409, 2415, 2421, 2427, 2432, 2438, 2443, 2448, 2454, 2459,
2464, 2469, 2474, 2478, 2483, 2487, 2492, 2496, 2500, 2504,
2509, 2512, 2516, 2520, 2523, 2527, 2530, 2534, 2537, 2540,
2543, 2546, 2548, 2551, 2553, 2556, 2558, 2560, 2562, 2564,
2566, 2568, 2569, 2571, 2572, 2573, 2575, 2576, 2577, 2577,
2578, 2579, 2579, 2579, 2580, 2580, 2580, 2580, 2580, 2579,
2579, 2578, 2578, 2577, 2576, 2575, 2574, 2573, 2572, 2570,
2569, 2567, 2566, 2564, 2562, 2560, 2558, 2556, 2553, 2551,
2548, 2546, 2543, 2540, 2537, 2534, 2531, 2528, 2525, 2522,
2518, 2515, 2511, 2507, 2503, 2500, 2496, 2492, 2487, 2483,
2479, 2475, 2470, 2466, 2461, 2456, 2452, 2447, 2442, 2437,
2432, 2427, 2422, 2417, 2411, 2406, 2400, 2395, 2389, 2384,
2378, 2373, 2367, 2361, 2355, 2349, 2343, 2337, 2331, 2325,
2319, 2313, 2307, 2300, 2294, 2288, 2281, 2275, 2268, 2262,
2255, 2249, 2242, 2236, 2229, 2223, 2216, 2209, 2203, 2196,
2189, 2182, 2176, 2169, 2162, 2155, 2149, 2142, 2135, 2128,
2121, 2115, 2108, 2101, 2094, 2087, 2080, 2074, 2067, 2060,
2053, 2047, 2040, 2033, 2026, 2020, 2013, 2006, 2000, 1993,
1987, 1980, 1973, 1967, 1960, 1954, 1948, 1941, 1935, 1928,
1922, 1916, 1910, 1903, 1897, 1891, 1885, 1879, 1873, 1867,
1861, 1855, 1850, 1844, 1838, 1832, 1827, 1821, 1816, 1810,
1805, 1800, 1794, 1789, 1784, 1779, 1774, 1769, 1764, 1759,
1754, 1749, 1745, 1740, 1736, 1731, 1727, 1722, 1718, 1714,
1710, 1706, 1702, 1698, 1694, 1690, 1686, 1683, 1679, 1676,
1672, 1669, 1665, 1662, 1659, 1656, 1653, 1650, 1647, 1645,
1642, 1639, 1637, 1634, 1632, 1630, 1628, 1625, 1623, 1621,
1620, 1618, 1616, 1614, 1613, 1611, 1610, 1609, 1607, 1606,
1605, 1604, 1603, 1602, 1602, 1601, 1600, 1600, 1599, 1599,
1599, 1598, 1598, 1598, 1598, 1598, 1598, 1599, 1599, 1599,
1600, 1601, 1601, 1602, 1603, 1604, 1604, 1605, 1607, 1608,
1609, 1610, 1612, 1613, 1615, 1616, 1618, 1620, 1621, 1623,
1625, 1627, 1629, 1631, 1634, 1636, 1638, 1641, 1643, 1646,
1648, 1651, 1654, 1656, 1659, 1662, 1665, 1668, 1671, 1674,
1677, 1681, 1684, 1687, 1691, 1694, 1698, 1701, 1705, 1708,
1712, 1716, 1720, 1723, 1727, 1731, 1735, 1739, 1743, 1747,
1751, 1756, 1760, 1764, 1768, 1773, 1777, 1782, 1786, 1790,
1795, 1799, 1804, 1809, 1813, 1818, 1823, 1827, 1832, 1837,
1841, 1846, 1851, 1856, 1861, 1866, 1871, 1875, 1880, 1885,
1890, 1895, 1900, 1905, 1910, 1915, 1920, 1925, 1930, 1936,
1941, 1946, 1951, 1956, 1961, 1966, 1971, 1976, 1981, 1986,
1991, 1997, 2002, 2007, 2012, 2017, 2022, 2027, 2032, 2037,
2042, 2047, 2052, 2057, 2062, 2067, 2072, 2077, 2082, 2087,
2092, 2097, 2101, 2106, 2111, 2116, 2121, 2125, 2130, 2135,
2139, 2144, 2149, 2153, 2158, 2162, 2167, 2172, 2176, 2180,
2185, 2189, 2194, 2198, 2202, 2206, 2211, 2215, 2219, 2223,
2227, 2231, 2235, 2239, 2243, 2247, 2251, 2254, 2258, 2262,
2266, 2269, 2273, 2276, 2280, 2283, 2287, 2290, 2294, 2297,
2300, 2303, 2306, 2310, 2313, 2316, 2319, 2322, 2324, 2327,
2330, 2333, 2335, 2338, 2341, 2343, 2346, 2348, 2351, 2353,
2355, 2357, 2360, 2362, 2364, 2366, 2368, 2370, 2372, 2374,
2375, 2377, 2379, 2380, 2382, 2383, 2385, 2386, 2388, 2389,
2390, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2399,
2400, 2401, 2401, 2402, 2403, 2403, 2403, 2404, 2404, 2404,
2405, 2405, 2405, 2405, 2405, 2405, 2405, 2405, 2405, 2404,
2404, 2404, 2403, 2403, 2403, 2402, 2402, 2401, 2400, 2400,
2399, 2398, 2397, 2396, 2395, 2394, 2393, 2392, 2391, 2390,
2389, 2388, 2386, 2385, 2384, 2382, 2381, 2379, 2378, 2376,
2374, 2373, 2371, 2369, 2367, 2366, 2364, 2362, 2360, 2358,
2356, 2354, 2352, 2350, 2348, 2345, 2343, 2341, 2339, 2336,
2334, 2332, 2329, 2327, 2324, 2322, 2319, 2317, 2314, 2311,
2309, 2306, 2303, 2301, 2298, 2295, 2292, 2289, 2287, 2284,
2281, 2278, 2275, 2272, 2269, 2266, 2263, 2260, 2257, 2254,
2251, 2247, 2244, 2241, 2238, 2235, 2232, 2228, 2225, 2222,
2219, 2215, 2212, 2209, 2205, 2202, 2199, 2195, 2192, 2189,
2185, 2182, 2178, 2175, 2172, 2168, 2165, 2161, 2158, 2155,
2151, 2148, 2144, 2141, 2137, 2134, 2130, 2127, 2124, 2120,
2117, 2113, 2110, 2106, 2103, 2099, 2096, 2092, 2089, 2086,
2082, 2079, 2075, 2072, 2069, 2065, 2062, 2058, 2055, 2052,
2048, 2045, 2042, 2038, 2035, 2032, 2029, 2025, 2022, 2019,
2016, 2012, 2009, 2006, 2003, 2000, 1996, 1993, 1990, 1987,
1984, 1981, 1978, 1975, 1972, 1969, 1966, 1963, 1960, 1957,
1954, 1951, 1948, 1945, 1943, 1940, 1937, 1934, 1932, 1929,
1926, 1923, 1921, 1918, 1916, 1913, 1910, 1908, 1905, 1903,
1901, 1898, 1896, 1893, 1891, 1889, 1886, 1884, 1882, 1880,
1877, 1875, 1873, 1871, 1869, 1867, 1865, 1863, 1861, 1859,
1857, 1855, 1853, 1851, 1849, 1848, 1846, 1844, 1842, 1841,
1839, 1837, 1836, 1834, 1833, 1831, 1830, 1828, 1827, 1825,
1824, 1823, 1822, 1820, 1819, 1818, 1817, 1815, 1814, 1813,
1812, 1811, 1810, 1809, 1808, 1807, 1807, 1806, 1805, 1804,
1803, 1803, 1802, 1801, 1801, 1800, 1799, 1799, 1798, 1798,
1797, 1797, 1796, 1796, 1796, 1795, 1795, 1795, 1795, 1794,
1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794,
1794, 1794, 1794, 1794, 1795, 1795, 1795, 1795, 1796, 1796,
1796, 1797, 1797, 1798, 1798, 1799, 1799, 1800, 1800, 1801,
1801, 1802, 1803, 1803, 1804, 1805, 1805, 1806, 1807, 1808,
1809, 1810, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817,
1818, 1819, 1820, 1822, 1823, 1824, 1825, 1826, 1827, 1829,
1830, 1831, 1832, 1834, 1835, 1836, 1838, 1839, 1840, 1842,
1843, 1845, 1846, 1848, 1849, 1850, 1852, 1853, 1855, 1857,
1858, 1860, 1861, 1863, 1864, 1866, 1868, 1869, 1871, 1873,
1874, 1876, 1878, 1879, 1881, 1883, 1885, 1886, 1888, 1890,
1892, 1894, 1895, 1897, 1899, 1901, 1903, 1904, 1906, 1908,
1910, 1912, 1914, 1916, 1917, 1919, 1921, 1923, 1925, 1927,
1929, 1931, 1933, 1935, 1937, 1938, 1940, 1942, 1944, 1946,
1948, 1950, 1952, 1954, 1956, 1958, 1960, 1962, 1964, 1966,
1968, 1969, 1971, 1973, 1975, 1977, 1979, 1981, 1983, 1985,
1987, 1989, 1991, 1993, 1995, 1997, 1999, 2000, 2002, 2004,
2006, 2008, 2010, 2012, 2014, 2016, 2017, 2019, 2021, 2023,
2025, 2027, 2029, 2030, 2032, 2034, 2036, 2038, 2040, 2041,
2043, 2045, 2047, 2048, 2050, 2052, 2054, 2055, 2057, 2059,
2061, 2062, 2064, 2066, 2067, 2069, 2071, 2072, 2074, 2076,
2077, 2079, 2080, 2082, 2084, 2085, 2087, 2088, 2090, 2091,
2093, 2094, 2096, 2097, 2099, 2100, 2102, 2103, 2104, 2106,
2107, 2109, 2110, 2111, 2113, 2114, 2115, 2117, 2118, 2119,
2121, 2122, 2123, 2124, 2125, 2127, 2128, 2129, 2130, 2131,
2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142,
2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152,
2153, 2153, 2154, 2155, 2156, 2157, 2158, 2158, 2159, 2160,
2161, 2161, 2162, 2163, 2163, 2164, 2165, 2165, 2166, 2167,
2167, 2168, 2168, 2169, 2170, 2170, 2171, 2171, 2172, 2172,
2173, 2173, 2173, 2174, 2174, 2175, 2175, 2175, 2176, 2176,
2176, 2177, 2177, 2177, 2178, 2178, 2178, 2178, 2179, 2179,
2179, 2179, 2179, 2180, 2180, 2180, 2180, 2180, 2180, 2180,
2180, 2181, 2181, 2181, 2181, 2181, 2181, 2181, 2181, 2181,
2181, 2181, 2181, 2181, 2180, 2180, 2180, 2180, 2180, 2180,
2180, 2180, 2179, 2179, 2179, 2179, 2179, 2178, 2178, 2178,
2178, 2178, 2177, 2177, 2177, 2176, 2176, 2176, 2176, 2175,
2175, 2175, 2174, 2174, 2173, 2173, 2173, 2172, 2172, 2171,
2171, 2171, 2170, 2170, 2169, 2169, 2168, 2168, 2167, 2167,
2166, 2166, 2165, 2165, 2164, 2164, 2163, 2163, 2162, 2162,
2161, 2161, 2160, 2159, 2159, 2158, 2158, 2157, 2157, 2156,
2155, 2155, 2154, 2153, 2153, 2152, 2152, 2151, 2150, 2150,
2149, 2148, 2148, 2147, 2146, 2146, 2145, 2144, 2144, 2143,
2142, 2141, 2141, 2140, 2139, 2139, 2138, 2137, 2136, 2136,
2135, 2134, 2134, 2133, 2132, 2131, 2131, 2130, 2129, 2128,
2128, 2127, 2126, 2126, 2125, 2124, 2123, 2123, 2122, 2121,
2120, 2120, 2119, 2118, 2117, 2117, 2116, 2115, 2114, 2114,
2113, 2112, 2111, 2111, 2110, 2109, 2108, 2108, 2107, 2106,
2105, 2105, 2104, 2103, 2102, 2102, 2101, 2100, 2100, 2099,
2098, 2097, 2097, 2096, 2095, 2094, 2094, 2093, 2092, 2092,
2091, 2090, 2090, 2089, 2088, 2087, 2087, 2086, 2085, 2085,
2084, 2083, 2083, 2082, 2081, 2081, 2080, 2079, 2079, 2078,
2077, 2077, 2076, 2076, 2075, 2074, 2074, 2073, 2072, 2072,
2071, 2071, 2070, 2070, 2069, 2068, 2068, 2067, 2067, 2066,
2065, 2065, 2064, 2064, 2063, 2063, 2062, 2062, 2061, 2061,
2060, 2060, 2059, 2059, 2058, 2058, 2057, 2057, 2056, 2056,
2055, 2055, 2054, 2054, 2053, 2053, 2053, 2052, 2052, 2051,
2051, 2050, 2050, 2050, 2049, 2049, 2049, 2048, 2048, 2047,
2047, 2047, 2046, 2046, 2046, 2045, 2045, 2045, 2044, 2044,
2044, 2043, 2043, 2043, 2043, 2042, 2042, 2042, 2042, 2041,
2041, 2041, 2041, 2040, 2040, 2040, 2040, 2039, 2039, 2039,
2039, 2039, 2038, 2038, 2038, 2038, 2038, 2038, 2037, 2037,
2037, 2037, 2037, 2037, 2037, 2037, 2036, 2036, 2036, 2036,
2036, 2036, 2036, 2036, 2036, 2036, 2036, 2036, 2036, 2036,
2036, 2036, 2036, 2036, 2035, 2035, 2035, 2035, 2035, 2036,
2036, 2036, 2036, 2036, 2036, 2036, 2036, 2036, 2036, 2036,
2036, 2036, 2036, 2036, 2036, 2036, 2036, 2037, 2037, 2037,
2037, 2037, 2037, 2037, 2037, 2038, 2038, 2038, 2038, 2038,
2038, 2038, 2039, 2039, 2039, 2039, 2039, 2039, 2040, 2040,
2040, 2040, 2040, 2041, 2041, 2041, 2041, 2042, 2042, 2042,
2042, 2042, 2043, 2043, 2043, 2043, 2044, 2044, 2044, 2044,
2045, 2045, 2045, 2046, 2046, 2046, 2046, 2047, 2047, 2047};