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0,1,4501,2387,2193,2201,2217,2231,2241,2252,2271,2025,1609,573,49,26,40,4501,2,2360,2748,2462,2924,2592,3045,3593,3389,3426,3445,3433,3461,3841,3499,3398,3048,2007,2005,2003,2000,1995,1989,1988,1974,1963,1955,1944,1952,1951,1968,1974,1978,1980,1987,1990,1989,1990,3396,4501,4501,4501,4501,4501,3864,3588,4272,3063,2576,2522,2341,2270,2903,4501,4501,1,1,1,1,1,1,4501,76,439,835,1503,1834,2080,2203,2200,2277,3371,3883,1,1,1,34,107,108,107,104,103,101,99,97,96,95,94,93,91,91,90,89,102,112,127,120,1,142,140,142,1,1,1,2123,2121,2115,2111,2108,2095,2075,2053,2052,2044,2032,1430,654,653,646,637,627,624,620,617,610,606,602,599,594,593,591,586,582,582,581,579,576,573,575,575,574,575,576,578,577,578,580,583,585,586,588,590,594,594,599,602,607,610,616,623,630,641,646,2017,2026,2035,2028,2006,1990,1975,1973,1967,1930,1903,1881,1706,1890,615,556,559,559,558,554,557,559,565,555,526,547,563,569,567,567,567,569,573,575,579,678,1905,1892,1903,1894,1951,1942,1953,1993,1992,2022,2026,2022,1998,642,632,627,621,615,611,606,603,598,593,589,588,585,583,580,579,577,577,576,574,575,574,572,571,571,571,572,573,578,578,577,578,582,587,589,593,596,598,601,607,611,618,622,625,631,644,651,655,1011,2028,2040,2054,2056,2070,2093,2107,2113,2119,2124,2129,2131,2135,2131,1,1,1,3803,1,128,98,95,89,91,92,93,94,96,97,98,99,101,103,105,105,104,101,98,97,97,98,94,1,1,1,13,675,1373,1664,1470,1300,1074,553,99,1,1,3,13,1,1,1,4501,1,2724,2316,2162,3010,2885,3461,4413,4501,4501,4501,4501,4501,3789,3387,1980,1984,1982,1980,1974,1972,1966,1966,1953,1949,1861,571,911,1379,1954,1964,1967,1970,1975,1975,1979,1975,2468,3437,4039,4501,4501,4501,3448,3205,2568,2106,2149,2852,2862,2175,2497,1576,975,1,1,1,1,1,16,1,1,1,1,1,1107,1094,1188,1611,1896,4501,1,100,98,96,95,94,93,93,95,98,99,99,99,99,99,97,96,94,92,91,90,98,104,122,1,4501,2689,3474,3487,2155,2137,2135,2130,2125,2122,2110,2106,2095,2073,2054,2051,2042,2032,680,654,650,643,636,626,623,618,613,606,602,598,595,592,589,586,584,580,577,577,576,574,573,569,570,569,570,570,569,569,569,568,569,570,571,572,575,579,580,583,590,593,595,599,605,612,618,622,627,1997,2011,2017,2024,2024,2002,1990,1977,1961,1947,1911,1908,1930,581,588,586,585,587,584,582,584,578,575,560,574,582,588,588,590,589,591,589,590,589,1318,1923,1911,1946,1946,1986,1995,2013,2033,2028,2016,2000,1548,622,615,606,602,597,591,586,582,579,575,572,571,570,568,569,570,570,569,568,567,566,566,566,565,565,566,567,570,572,573,575,577,579,582,585,587,590,592,596,599,604,607,614,620,622,629,641,649,653,824,2025,2041,2052,2056,2069,2094,2108,2116,2125,2127,2131,2136,2136,2140,2140,2146,2148,3400,37,102,93,91,91,94,95,97,99,99,98,94,92,89,88,89,90,91,93,94,96,97,99,98,1,1,23,726,788,199,1,1,1,1,26,8,66,59,45,45,1,1,1,3313,2374,2217,2803,2116,2110,2286,2138,3361,3409,3404,3939,4279,3636,3584,1987,1961,1965,1966,1963,1955,1952,1950,1868,1929,1017,544,533,546,1086,1637,1943,1945,1952,1951,1953,1955,1941,1919,1937,2113,3484,3402,3378,3395,3401,2199,2297,2791,2499,2604,3031,2551,2311,2379,2338,1,1,1,1,1,42,63,47,23,1,1,2,1,4501,1,1,98,101,98,96,95,94,93,91,89,89,88,86,86,87,89,93,96,98,97,94,92,96,98,99,1,1,2151,2148,2145,2144,2138,2136,2134,2129,2123,2110,2107,2091,2077,2051,2049,2042,2030,666,652,649,641,633,623,619,614,609,604,600,598,595,591,588,587,583,580,579,577,576,573,572,572,571,569,568,569,568,568,568,568,569,570,571,572,573,574,576,580,583,586,589,593,597,601,606,610,618,624,631,636,644,654,861,2029,2025,1988,1978,1945,1942,1935,1917,616,597,600,599,597,597,596,592,585,579,580,588,597,599,598,602,606,604,753,1833,1949,1939,1942,1967,1989,2017,2023,2035,1116,661,650,640,634,629,621,616,613,608,602,597,594,592,588,584,581,579,576,575,572,570,569,566,565,566,567,567,566,566,568,568,569,571,573,575,577,580,583,585,588,591,594,597,598,603,608,615,618,623,631,641,647,652,1792,2025,2039,2053,2055,2073,2093,2110,2117,2125,2130,2132,2137,2136,2144,2148,2150,2152,3346,1,102,97,96,92,100,99,95,91,88,85,85,86,87,88,89,90,91,93,94,96,97,99,99,3,1,1,4501,1,1,1,1,1,1,2,72,71,62,61,66,68,1,1,3056,3408,2381,3208,2123,2137,3524,2943,3386,3400,4501,3514,1,1,15,1872,1934,1945,1939,1941,1934,1390,664,565,553,549,537,526,537,546,554,568,573,571,1213,1935,1935,1926,1917,1864,1752,184,1,4267,3374,3396,3388,3704,3429,2084,2106,2112,2485,3297,3458,253,1,1,1,1,1,1,1,1,51,50,15,25,1,1,1,1,1,1,78,96,97,94,93,91,89,89,88,87,86,87,88,92,95,101,103,92,90,98,101,101,1,3334,2159,2153,2148,2143,2138,2136,2134,2132,2126,2113,2107,2093,2074,2053,2049,2042,2028,2010,650,648,640,633,623,621,615,609,605,600,598,593,590,587,585,581,578,577,577,576,573,572,570,570,569,570,569,570,569,571,571,572,572,574,576,578,581,581,585,587,589,592,597,601,606,611,615,621,629,637,643,908,2008,2039,2043,2036,2017,2013,2317,1970,1946,1938,1965,1964,1969,1583,606,600,601,599,601,591,601,604,601,598,871,1013,1901,1975,1976,1973,1961,1972,2524,2053,2025,2032,2044,2048,2042,2031,2016,724,637,630,623,618,614,609,602,597,593,591,586,582,580,577,575,574,573,572,570,569,567,564,563,564,564,566,568,570,571,572,574,576,578,581,583,588,590,592,593,598,600,604,610,615,620,623,630,639,646,900,2019,2024,2039,2053,2057,2072,2092,2110,2118,2125,2131,2134,2136,2140,2143,2147,2151,2149,3236,4501,1,1,1,1,31,105,102,97,94,89,87,87,87,89,89,90,92,93,94,38,29,7,7,2,3,1,1,1,1,1,24,62,71,72,73,65,36,48,50,1,1,1590,2163,2781,2467,2307,4061,3435,3554,3407,3383,3365,4010,1,1,5,1828,1906,1916,1922,1767,1228,560,548,545,536,525,517,515,505,515,523,529,544,547,553,558,1358,1595,1891,1891,1839,1433,369,7,559,3357,3376,3378,3378,2672,2051,2075,2093,2594,2921,1778,1,1,1,1,1,1,1,1,1,1,1,1,20,75,1,8,1,20,24,1,1,2,11,92,91,90,89,88,87,89,90,93,96,99,103,104,1,1,1,1,3111,3510,2169,2150,2152,2148,2143,2140,2138,2136,2133,2123,2114,2107,2095,2078,2057,2054,2045,2033,2016,653,648,641,635,625,623,618,612,607,600,598,593,592,591,591,588,585,583,579,578,573,572,570,570,567,566,565,566,565,565,569,572,573,574,576,578,580,581,585,588,593,595,599,603,608,615,620,626,634,643,811,1936,2033,2046,2054,2054,2048,2033,2753,2116,3046,1974,1986,1988,1984,1826,1388,1965,1549,604,608,604,607,613,1344,1969,1972,1976,1985,1981,1991,1988,2019,2319,2866,2287,2048,2063,2068,2063,2055,2042,2028,689,652,642,634,627,623,615,609,605,601,600,596,593,589,590,586,584,581,579,578,576,572,571,570,571,570,573,575,575,575,577,579,581,585,587,590,595,597,597,598,604,605,613,617,624,627,629,635,640,2007,2014,2020,2028,2044,2057,2059,2072,2093,2111,2119,2127,2131,2134,2139,2143,2145,2149,2152,2151,2159,2163,2221,2694,2888,3311,176,1,105,104,100,96,94,90,89,94,98,101,71,12,12,19,24,18,22,22,12,16,23,37,57,62,61,67,72,72,71,61,52,1,1,1,1,2657,3332,2097,2081,1440,2053,2017,1990,2004,1928,1907,609,397,532,818,1635,1835,577,552,559,556,552,550,546,539,531,516,505,491,506,519,523,539,545,548,551,553,554,548,1204,1545,1349,430,560,933,1800,1919,1936,1972,2007,2037,2061,2058,2078,2101,2139,3584,1,1,1,1,1,1,1,1,1,61,63,56,31,17,1,12,13,31,1,1,1,1,1,123,119,113,108,108,108,107,102,103,104,86,1,1,156,2114,2178,2173,2167,2160,2153,2152,2149,2144,2140,2137,2135,2132,2125,2112,2105,2092,2077,2057,2054,2047,2032,2022,2012,1337,646,644,637,635,631,625,620,613,611,606,604,601,600,596,593,591,587,583,578,578,578,578,578,577,574,573,572,572,573,578,580,582,584,586,589,590,593,596,600,603,607,610,616,622,627,633,644,2010,2021,2031,2044,2060,2074,2078,2079,2248,3352,3278,3907,3411,2038,1989,1986,1988,1984,1981,1977,1978,1972,1967,1977,1984,1982,1983,1988,1990,1992,1999,1997,2381,3386,4037,3710,3422,2176,2093,2089,2082,2068,2050,2039,2026,2021,2007,639,632,628,622,615,612,606,605,601,597,594,593,591,589,586,584,583,581,578,576,577,580,582,581,582,582,581,583,586,589,591,595,597,603,605,608,610,613,616,622,628,634,637,640,646,651,2016,2019,2026,2033,2047,2060,2062,2075,2093,2109,2119,2127,2133,2135,2139,2140,2145,2149,2153,2159,2162,2173,2177,2183,2186,2190,2229,2647,2148,1,1,65,121,121,120,120,121,121,122,123,47,7,7,20,1,1,1,1,25,19,28,58,61,68,73,73,69,64,69,75,1,1,2271,3186,2634,2077,2056,2034,2011,1988,1968,1922,1916,1898,1095,491,978,713,1335,556,549,553,552,552,554,551,539,533,520,503,489,484,503,511,530,540,547,551,548,551,551,543,539,517,605,435,442,557,1890,1913,1905,1948,1978,1993,2017,2042,2060,2091,2152,2697,1232,1,1,1,1,1,1,1,1,1,1,60,48,13,30,1,1,1,13,14,119,127,125,123,121,121,122,121,104,1,1,4501,3572,3377,2874,2338,2200,2186,2185,2178,2169,2165,2156,2153,2148,2145,2140,2137,2135,2131,2126,2113,2104,2091,2080,2064,2061,2053,2040,2029,2024,2022,841,654,647,645,640,635,627,621,618,615,611,608,606,602,600,597,595,593,590,588,586,586,586,585,582,580,580,582,585,584,583,585,590,593,595,597,601,604,609,610,615,620,626,634,637,646,1971,2029,2032,2045,2061,2083,2104,2111,2111,3207,3368,3424,4499,3627,3580,2337,2010,2006,2003,1993,1992,1984,1988,1993,1994,1992,1995,2000,2005,2014,2017,2023,2971,3417,3826,4501,3589,3410,2760,2128,2136,2132,2120,2102,2078,2060,2050,2034,2016,1616,772,632,625,622,616,615,610,607,602,601,597,592,587,584,586,589,586,583,582,583,586,586,586,587,590,591,593,596,596,601,605,608,611,615,618,621,624,630,635,641,647,650,655,2020,2026,2029,2034,2040,2054,2062,2068,2080,2090,2107,2122,2129,2134,2135,2138,2141,2144,2148,2156,2158,2165,2172,2178,2187,2189,2196,2206,2213,2218,2236,4501,1,1,1,1,124,125,123,124,124,126,127,126,46,14,12,1,2,18,58,63,60,66,72,73,73,66,1,1,1,1,4501,1,2082,2070,2041,2037,1992,1972,1949,1935,1889,1892,1884,899,490,500,507,524,541,544,545,544,539,536,531,524,516,504,482,474,470,483,497,516,523,528,533,535,539,541,544,542,532,515,487,482,1039,1332,1884,1899,1911,1936,1947,1978,2010,2040,2059,2060,3182,1078,1,1,1,1,1,1,1,17,22,26,29,53,25,1,1,1,50,131,130,127,126,125,125,125,122,96,1,4501,4501,4501,2268,2261,2246,2224,2209,2201,2188,2184,2177,2171,2164,2157,2154,2149,2147,2141,2140,2136,2134,2128,2118,2103,2087,2082,2068,2066,2060,2049,2037,2035,2034,2027,663,654,651,647,642,635,630,625,621,617,614,613,608,603,602,601,600,596,592,591,590,589,589,588,588,588,589,591,591,588,588,591,598,603,607,609,613,618,622,628,635,1840,2023,2032,2048,2064,2082,2093,2110,2131,2147,2150,2144,2132,3013,2225,3128,3570,4257,3485,2083,2035,2033,2026,2020,2016,2014,2003,2005,2015,2014,2017,2026,2028,2038,2044,2049,2297,3420,4092,3521,3413,2494,2137,2144,2155,2171,2180,2169,2146,2129,2122,2105,2088,2069,2062,2048,2035,1797,650,640,631,628,622,616,611,606,601,599,599,597,595,596,596,596,594,595,596,597,597,600,602,604,607,610,612,617,620,622,624,629,634,640,644,650,655,658,1397,2034,2040,2041,2046,2049,2063,2070,2073,2080,2082,2106,2121,2130,2134,2135,2138,2141,2146,2149,2156,2162,2165,2175,2179,2188,2190,2200,2212,2223,2230,2239,2251,4501,4501,4501,1,627,1,1,127,129,129,129,129,131,133,131,68,37,56,65,59,60,70,74,73,73,68,66,1,1,1,1,2017,2059,2050,1999,2006,1986,1966,1930,1904,1859,1213,574,459,468,474,512,531,542,546,545,545,541,540,536,530,530,515,493,480,476,492,504,527,527,532,535,537,538,541,543,539,532,528,499,489,484,588,1027,1877,1895,1842,1955,615,670,1962,1989,2006,1,210,176,175,417,77,69,71,77,79,72,66,64,87,134,139,138,136,134,133,132,132,128,113,26,54,29,27,4501,1071,1539,1865,2056,2142,2210,2222,2207,2202,2186,2184,2178,2171,2165,2159,2153,2148,2144,2142,2139,2137,2134,2127,2118,2098,2079,2084,2078,2073,2069,2062,2054,2051,2049,2042,845,665,660,658,653,648,643,639,633,629,626,624,620,618,614,613,610,609,605,604,603,602,600,599,600,601,601,604,610,614,617,622,630,635,637,645,1589,2030,2040,2051,2066,2076,2092,2102,2115,2131,2150,2160,2176,2192,2195,2181,2174,2157,2141,2127,3179,3406,4216,3580,3426,2169,2053,2046,2041,2039,2031,2025,2023,2033,2030,2040,2046,2049,2055,2061,2576,3422,4039,4209,3730,3095,2136,2151,2164,2182,2189,2206,2220,2209,2187,2177,2157,2139,2123,2118,2102,2090,2078,2065,2059,2045,2033,1082,662,646,641,637,630,628,619,612,610,609,605,605,606,607,608,610,612,614,615,618,621,623,627,629,634,638,644,646,651,655,658,663,666,1813,2044,2052,2055,2058,2062,2071,2076,2078,2083,2077,2104,2121,2130,2132,2135,2138,2142,2143,2148,2156,2159,2163,2171,2180,2186,2190,2196,2213,2223,2233,2245,2256,2272,2096,1699,1432,1092,562,248,30,1,1,126,132,136,137,138,139,142,144,144,106,90,85,82,80,77,79,91,194,198,203,207,207,201,195,192,196,198,210,259,532,832,494,488,484,487,498,527,536,539,537,536,536,533,533,527,520,523,499,477,465,460,477,492,516,518,526,528,530,529,528,528,527,526,524,489,490,496,516,508,530,467,211,200,195,193,191,187,189,195,197,199,201,201,147,93,94,101,117,152,152,150,146,144,143,141,138,112,21,9,20,28,1,1,1,1,1,4501,1170,1621,1910,2069,2149,2222,2222,2211,2203,2192,2185,2177,2170,2166,2157,2157,2151,2146,2143,2141,2137,2134,2132,2120,2095,2066,2086,2080,2079,2077,2075,2068,2061,2061,2052,2042,2032,2028,1997,1864,654,650,646,644,638,635,633,628,625,622,621,620,616,615,613,613,615,617,619,623,626,631,636,647,654,662,668,1859,2049,2054,2065,2077,2089,2095,2110,2122,2138,2153,2160,2177,2195,2214,2227,2244,2235,2009,2051,2091,2175,2164,2196,2251,3334,3571,4242,3455,3443,2081,2069,2061,2058,2049,2042,2042,2051,2055,2059,2068,2069,2075,2318,3231,3454,3733,3618,4249,2559,2210,2174,2155,2194,2205,2230,2246,2268,2267,2262,2239,2214,2196,2189,2174,2158,2146,2130,2124,2109,2098,2088,2082,2070,2062,2050,1586,1232,667,655,645,639,634,629,625,623,622,622,621,624,625,627,628,630,635,639,644,648,653,655,660,662,2024,2032,2035,2044,2058,2066,2068,2075,2076,2080,2085,2085,2089,2061,2112,2124,2131,2134,2138,2139,2143,2144,2149,2158,2160,2166,2173,2179,2187,2192,2200,2213,2223,2230,2238,2254,2269,1983,1590,1359,1237,993,468,15,4501,1,1,1,1,1,1,1,18,147,151,153,154,157,159,163,164,166,181,185,184,195,196,189,182,184,188,191,193,207,271,524,547,537,537,511,502,511,526,528,525,527,528,530,526,526,519,520,519,490,467,456,454,468,482,485,477,481,502,503,505,505,504,501,504,496,484,469,495,510,550,530,550,369,209,189,188,186,184,181,188,197,194,188,179,174,170,167,165,163,159,150,126,77,42,14,29,27,1,1,1,1,1,1,1,1,1,1,812,918,1213,1687,1948,2084,2179,2220,2211,2204,2193,2187,2180,2172,2168,2157,2158,2152,2145,2142,2141,2140,2135,2132,2119,2095,2054,2081,2088,2089,2088,2087,2081,2076,2077,2066,2056,2042,2039,2032,2028,883,660,658,653,647,641,638,631,628,627,625,625,626,628,632,634,639,647,656,662,1013,2019,2045,2060,2064,2075,2088,2099,2111,2116,2129,2138,2154,2162,2177,2191,2206,2222,2234,2253,2275,2288,1759,1206,2174,2252,2045,2201,2039,2183,2171,2163,3180,4249,3760,3478,3458,2110,2089,2085,2081,2077,2068,2064,2079,2084,2088,2094,2098,2104,2108,2758,3454,3466,3543,2207,2170,2178,1403,850,960,1255,2249,1848,934,938,953,1031,2238,2278,2267,2250,2233,2214,2202,2194,2179,2169,2155,2149,2136,2128,2112,2101,2095,2084,2071,2057,2052,2045,2036,2026,1657,1097,649,642,638,633,631,632,635,639,640,648,654,658,662,1830,2031,2036,2042,2045,2056,2070,2079,2084,2088,2091,2093,2092,2089,2091,2036,2109,2125,2132,2135,2137,2140,2143,2143,2151,2158,2159,2168,2174,2180,2189,2191,2200,2213,2223,2231,2239,2253,2276,1985,1574,1354,1209,752,324,13,1,1,1,1,1,1,1,1,1,1,1,1,10,17,26,127,190,190,187,184,186,187,186,180,180,181,184,186,194,236,358,354,367,383,373,336,312,310,312,316,325,457,518,516,509,485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