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48,149,151,140,2278,2057,1594,1357,4501,355,251,4501,692,4501,4501,2206,2183,2450,2352,2256,2192,2128,2106,2088,2077,2060,2051,2037,2026,2018,1997,1110,1550,1300,1494,912,850,625,627,627,605,589,617,624,616,733,979,1452,1067,1392,908,1433,1959,1999,2005,2012,2024,2036,2053,2064,2076,2091,2099,2111,2821,4501,4501,4501,4501,4501,4501,154,374,208,4501,1,1,1,155,153,151,151,163,1794,677,660,650,598,577,558,553,549,547,544,538,538,537,532,529,527,522,511,501,496,494,490,485,483,482,480,477,474,470,467,465,459,456,455,458,462,468,477,480,490,500,500,500,499,499,500,504,504,506,508,508,510,513,517,519,523,524,527,531,537,544,555,560,561,563,563,566,572,581,586,604,646,667,676,680,690,938,782,768,1511,2035,1802,1458,1295,815,449,242,117,45,45,322,4501,4501,4501,4501,4501,4501,3444,3007,2393,2138,2063,2066,2044,2033,2012,1999,1680,1087,1275,916,811,872,624,618,626,621,589,592,625,629,622,1113,1072,1274,1364,1564,1687,1943,2010,2035,2149,2260,2206,2129,2093,2089,2140,2438,4501,4501,4501,4501,4501,1009,827,613,313,158,77,28,43,16,406,682,1075,1929,832,760,854,687,676,669,663,652,615,591,581,573,564,560,558,559,558,554,544,539,533,527,524,522,520,517,515,511,511,509,508,506,505,502,500,500,501,502,500,492,484,479,472,465,458,455,454,455,460,464,468,472,474,479,482,484,488,491,499,500,508,514,521,522,525,525,526,528,528,532,538,545,549,553,568,591,642,657,675,675,1954,177,155,154,157,159,159,154,130,17,85,4501,4501,4501,2250,4501,4501,2790,3374,3098,2717,2226,2086,2051,2046,2038,2024,2011,1994,1992,1992,1590,1617,857,1162,721,877,617,607,616,613,584,571,603,613,604,602,599,615,808,849,875,918,1780,1978,1977,1989,1995,1956,254,238,221,213,226,233,233,225,202,703,4501,4501,4501,1,1,1,166,164,161,159,156,1,21,2057,711,683,673,662,652,615,582,560,551,542,533,527,524,522,521,518,518,516,513,511,504,501,499,496,490,483,481,479,474,471,467,465,462,459,456,456,459,462,468,474,477,483,494,499,499,500,499,501,503,503,505,506,507,508,512,516,519,521,522,523,529,536,540,550,556,556,556,554,561,570,577,583,609,642,659,665,671,684,972,754,760,2060,2068,1690,1405,1265,850,433,231,114,39,42,26,4501,4501,4501,4501,4501,4501,2942,2730,2450,2356,2264,2323,2427,2485,2336,2099,2022,2013,1836,1948,1857,1818,1722,1021,632,631,602,610,636,637,1475,1919,1989,1999,2013,2018,2016,2029,2060,2212,2431,2443,2620,2544,2410,2282,2369,4501,4501,4501,4501,4501,4501,4501,1573,876,446,226,108,32,52,384,673,831,1124,1809,910,740,724,692,668,663,656,644,618,594,583,570,562,554,553,554,554,553,541,536,529,522,519,519,518,515,514,508,508,504,504,502,502,501,497,496,497,495,493,485,477,474,470,467,462,463,462,464,466,469,473,479,481,486,490,493,496,498,498,498,499,502,506,509,509,510,511,514,516,524,531,539,554,563,594,622,643,651,661,672,688,2007,2121,2140,2224,139,154,165,169,171,171,169,170,162,1,1,223,223,221,209,206,213,219,224,233,390,1897,1977,1968,1970,1917,811,805,717,613,598,607,592,592,602,595,563,550,586,598,592,589,585,591,594,601,603,611,1299,1935,1946,1955,1967,1947,237,224,215,211,205,200,213,220,221,206,193,182,179,177,174,160,106,4501,1222,1364,1695,2125,1127,1032,1142,667,649,639,636,625,610,581,561,540,528,524,516,511,506,504,503,501,498,494,493,493,494,495,497,500,498,493,488,482,478,477,475,469,469,467,468,469,473,478,481,487,493,497,496,495,497,499,501,501,503,505,507,508,512,515,516,516,517,518,524,531,538,549,553,553,555,554,559,571,580,590,613,634,646,655,665,696,719,730,736,1945,2093,1784,1454,1271,933,490,257,117,33,27,4501,4501,4501,4501,4501,4501,4501,4501,3137,2714,2561,2448,2555,2590,2794,2745,2619,2146,2036,2027,2025,2014,2008,1999,1824,702,644,622,623,656,980,1870,2006,2021,2029,2033,2033,2046,2046,2080,2192,2287,2428,2643,2607,2406,2297,4501,4501,4501,4501,4501,4501,4501,1810,1004,556,271,135,54,24,41,446,701,841,1228,1858,810,722,712,697,667,654,640,628,618,602,589,575,565,556,556,554,551,550,542,537,526,521,518,518,518,518,515,512,509,508,505,504,502,500,499,499,499,499,494,486,481,479,473,472,471,475,478,480,484,486,489,491,494,497,498,496,493,490,490,489,486,484,487,493,494,496,499,502,505,512,523,547,580,584,600,609,618,626,636,661,752,1245,1865,2106,2161,1972,4501,4501,395,1,1,1,75,186,190,193,208,211,194,202,207,210,214,232,1396,1956,1961,1955,1952,1945,1245,610,601,597,588,584,579,583,584,594,581,543,523,556,560,552,546,545,542,541,517,489,468,450,400,444,780,1390,1918,1921,373,212,207,204,201,194,198,203,213,218,222,220,213,212,217,215,216,220,227,246,265,296,318,340,353,375,405,420,430,437,439,441,436,428,428,438,442,460,466,471,471,471,472,479,483,483,485,491,493,496,496,493,491,487,484,481,478,475,473,471,469,472,476,478,481,489,497,498,498,496,499,501,502,505,505,508,511,515,517,518,518,519,521,525,536,541,549,551,553,553,556,563,578,595,601,614,619,629,645,663,691,703,714,781,1989,2150,2032,1614,1360,1232,830,442,233,116,45,94,42,4501,4501,4501,4501,4501,4501,4501,2792,2510,2382,2448,2495,2790,2812,2756,2381,2087,2048,2040,2039,2026,2019,2013,1286,663,640,648,670,1771,2015,2029,2038,2039,2048,2055,2061,2074,2391,2593,2605,2605,2430,2295,2233,4501,4501,4501,4501,4501,4501,1110,90,42,94,34,20,28,33,233,589,777,879,1190,1982,2120,760,708,699,686,658,644,630,619,613,610,605,583,572,560,555,553,549,547,544,542,528,520,519,520,518,519,516,511,511,507,505,503,502,500,499,500,501,498,491,484,477,474,472,472,475,477,479,483,485,489,491,495,497,497,497,494,490,487,482,481,474,463,460,457,454,449,441,435,430,428,416,408,419,424,425,419,421,408,389,409,360,321,198,1,1,1,1,1,1,1,1,1,1,1,231,220,196,190,196,202,204,207,214,238,288,412,440,352,320,315,321,318,324,356,523,562,564,548,553,560,552,527,517,544,571,575,548,478,413,397,363,338,310,317,328,318,276,253,238,251,274,251,233,227,235,287,1097,2196,2963,3266,3370,1016,1028,139,1,1,1,4501,4501,1315,1877,2034,2098,2007,693,655,610,583,557,547,539,531,528,517,503,494,492,494,488,478,473,467,465,473,479,481,487,489,493,494,496,497,496,494,492,489,485,482,481,478,474,476,478,481,486,492,499,501,502,502,501,503,505,506,506,511,513,516,517,517,519,519,520,524,537,541,546,549,550,553,558,568,581,603,607,610,615,622,635,643,665,692,706,734,1893,2140,2175,1868,1495,1293,1199,804,385,191,83,28,48,57,4501,4501,4501,4501,4501,4501,2350,2782,2492,2355,2513,2686,2751,2850,2874,2427,2129,2067,2055,2047,2040,2035,1876,717,663,662,1212,2015,2045,2048,2055,2059,2066,2071,2100,2295,2658,2952,2814,2624,2507,2359,2279,4501,4501,4501,4501,2161,4501,443,232,123,53,24,30,26,375,687,832,904,1093,1616,2119,1516,775,806,672,644,635,630,623,618,613,608,603,586,573,563,557,553,547,542,538,538,530,521,517,517,516,516,517,513,512,508,507,506,504,502,501,501,496,493,486,476,473,471,471,472,477,483,483,486,488,493,495,497,497,498,496,494,490,488,483,482,478,477,481,492,498,504,505,509,510,519,534,537,540,540,540,533,556,584,600,1111,1846,2002,2131,2126,2461,2248,650,20,1,1,1,1,29,555,423,382,427,448,530,537,558,557,520,462,411,390,320,296,283,285,299,308,321,353,383,394,453,539,551,568,542,516,506,532,548,519,506,475,386,372,356,345,342,372,438,448,440,444,383,444,476,508,536,564,561,550,627,457,439,416,415,377,305,295,259,3,13,5,1,1,1258,2167,2708,2709,1915,647,581,580,582,523,536,535,538,537,528,520,518,519,521,518,514,500,491,486,483,483,485,487,491,491,494,494,494,496,498,496,490,487,483,480,478,474,473,474,478,483,489,493,500,499,501,503,505,506,507,510,514,516,516,516,517,519,520,526,536,536,540,546,554,558,561,571,578,592,600,614,621,627,632,634,641,652,1287,1917,1530,2071,2166,2173,1872,1484,1289,1194,1110,677,350,175,87,34,4501,4501,4501,4501,4501,4501,4501,2196,2189,2180,2224,2271,2411,4501,3611,3266,2791,2496,2272,2088,2066,2057,2050,1072,680,682,1632,2055,2064,2071,2075,2085,2266,2441,2598,2759,2877,3287,2913,2568,2389,2303,2261,4501,4501,4501,4501,4501,1,83,28,27,55,24,37,30,468,708,833,1187,1621,2100,1604,1754,1027,673,652,642,640,640,638,626,610,596,590,577,570,561,556,552,546,540,535,533,531,522,517,516,516,514,514,513,512,506,505,504,504,502,501,498,493,487,480,475,471,471,472,477,482,488,488,490,494,495,494,493,493,495,494,493,492,489,487,486,485,490,502,516,521,518,518,516,516,519,527,535,534,533,532,561,591,617,1753,2120,2735,2892,2595,4501,4501,1,1,1,4501,1,4501,2716,2801,2915,2725,2345,2081,2017,1999,1804,1426,1580,1707,896,1562,1133,686,553,541,529,547,539,529,518,469,459,490,514,522,537,560,540,490,508,530,554,556,554,546,541,544,547,546,549,561,558,554,863,990,1582,1845,866,1830,759,1782,1953,1993,2184,2854,3577,4069,4062,3337,1641,438,1,1,10,52,20,4501,2207,2198,3483,3462,2564,1985,1589,599,575,560,549,540,529,524,520,520,520,521,520,521,518,505,497,494,492,493,495,495,495,492,493,492,492,492,496,494,493,491,485,480,474,472,473,475,480,484,487,495,499,500,503,505,505,508,512,513,515,515,515,516,517,520,529,532,533,533,541,546,552,555,562,569,578,584,599,615,634,648,653,657,663,677,715,2018,1660,1562,2037,2118,1817,1469,1270,1178,1030,574,298,143,69,30,51,4501,470,4501,4501,4501,2215,2212,2204,2193,2180,2215,4501,3526,3477,3197,2929,2707,2407,2208,2132,2081,2041,1427,1922,1911,2051,2067,2079,2087,2123,2226,2261,2348,3451,2721,2414,2412,2314,2235,2221,2237,4501,4501,4501,4501,4501,4501,147,62,28,26,29,15,286,608,780,1054,1742,1634,1985,2141,1886,772,700,677,658,649,644,630,606,589,579,575,565,560,555,551,547,542,536,534,533,532,523,518,517,515,516,514,514,514,509,506,504,503,502,502,497,488,484,478,474,473,474,475,480,485,490,491,493,494,493,493,493,491,494,496,497,498,499,502,502,506,511,519,529,527,528,528,528,530,533,534,536,556,570,590,593,1297,1923,1995,2295,4501,4501,4501,4501,2094,1211,355,1,1,4501,2435,2379,2627,3132,3097,2579,2170,2008,1243,1579,721,678,650,609,593,644,595,555,561,557,551,553,554,548,540,539,548,553,554,541,506,490,480,497,517,545,549,539,526,524,535,539,549,543,549,547,548,554,575,582,592,615,647,627,1597,1544,1964,1993,2004,2470,2876,3229,3450,3182,1873,689,27,1,1,1,4501,4501,4501,4501,3469,2732,2003,1888,616,596,569,550,545,543,539,536,536,536,536,535,530,524,513,508,504,503,501,499,498,496,495,494,495,494,494,496,492,493,493,490,483,474,474,475,476,481,484,485,492,499,504,504,504,506,508,513,513,515,516,516,517,518,522,532,536,536,539,543,549,555,556,559,564,570,574,583,593,609,633,645,654,674,974,744,796,1682,2134,2168,1549,1407,1233,1137,1096,1088,690,357,181,86,30,26,4501,4501,4501,4501,1694,2248,2240,2229,2219,2207,2192,4501,4501,3295,3183,2994,2703,2470,2309,2214,2147,2085,1910,1717,2081,2093,2098,2102,2108,2169,2302,2525,4501,4501,2178,2185,2190,2200,2210,2216,4501,4501,4501,4501,4501,4501,4501,38,23,27,78,24,29,355,627,770,927,1346,1936,1924,1444,903,1021,1508,701,658,642,631,611,596,585,580,578,571,564,559,556,554,549,543,538,538,534,527,521,518,515,515,514,514,513,511,509,507,506,505,502,495,486,482,479,477,474,478,480,485,490,493,493,496,496,498,498,498,497,497,499,498,501,501,503,503,507,512,517,529,534,537,533,536,539,539,540,544,556,565,596,612,1084,1978,2008,2275,2768,4501,4501,4501,308,1,1,1,1,4501,3094,3604,3827,3887,3697,3471,3035,2099,1310,1017,625,612,635,580,732,660,546,548,549,549,545,542,535,532,528,521,534,546,544,530,493,481,474,488,507,540,543,538,531,524,525,532,538,540,549,551,544,549,550,556,588,774,1202,619,1214,979,1926,1962,2214,2696,3136,3681,3968,3181,2403,924,115,1,1,4501,4501,4501,3485,3368,3406,2562,2021,1941,684,596,563,553,544,543,543,542,543,543,543,540,535,523,514,508,504,503,502,501,498,496,498,499,496,499,497,495,494,492,490,491,489,483,480,477,476,477,479,481,486,495,500,504,505,508,510,512,513,514,516,516,518,520,524,528,533,535,539,543,551,558,561,565,570,581,582,591,596,605,617,626,651,666,1358,1813,1094,1406,1724,2104,2176,2013,1407,1159,1085,1076,995,528,271,121,34,30,935,4501,4501,982,1743,4501,2262,2245,2235,2225,2213,2204,4501,4501,2788,2706,2532,2314,2229,2181,2147,2105,1834,2008,2063,2087,2110,2186,2298,2352,2381,4501,4501,4501,4501,2207,2210,2217,2177,2147,4501,4501,1,1,4501,4501,4501,124,47,76,26,44,228,564,793,894,1332,1954,1797,1639,1914,1604,1752,873,660,644,628,623,613,606,595,592,588,581,569,559,555,549,544,539,534,532,528,524,522,520,516,515,513,511,512,510,509,507,506,502,493,488,480,478,476,476,477,478,483,490,494,494,493,493,495,496,497,495,495,496,500,498,500,501,500,500,504,509,514,527,535,544,546,548,549,550,547,551,561,571,605,629,1722,1989,2019,2051,2084,2119,4501,4501,1,1,1,24,1,4501,1,3988,4067,3937,3521,2835,2172,1812,1054,616,682,584,823,566,563,549,547,550,552,551,540,534,532,527,520,527,532,541,540,523,488,473,466,482,499,536,538,535,524,518,522,527,532,538,546,546,548,545,539,552,560,609,600,586,603,658,1757,1849,1960,2041,2492,2939,3303,3287,2556,1495,308,1,1,1,4501,2407,2309,2242,2189,2134,2024,1927,669,632,586,571,567,557,554,549,545,542,540,535,527,515,509,504,502,503,502,501,501,501,500,500,501,500,498,496,494,493,492,492,493,489,482,477,472,470,472,474,478,484,492,502,503,507,508,510,509,510,513,514,517,518,520,523,528,530,535,539,543,549,551,556,565,585,592,597,603,613,624,628,640,653,676,950,1681,1547,1646,1578,2013,2121,1640,1257,1124,1088,1000,525,256,121,50,26,143,1,1,4501,4501,4501,1943,1753,1728,2001,2095,2150,4501,4501,4501,4501,2645,2898,2676,2479,2501,2283,2121,2112,2116,2129,2156,2157,4501,4501,4501,4501,4501,4501,2220,2223,2167,1611,1051,1234,4501,4501,1,1,18,1,10,57,97,35,29,67,428,703,870,1199,1833,2148,1628,1574,1514,1380,921,687,653,637,626,620,611,604,599,594,584,563,557,550,547,543,540,537,531,529,525,521,519,517,515,512,510,508,509,509,507,504,501,493,486,479,475,474,472,474,475,478,484,492,490,491,492,492,493,496,500,503,505,505,504,506,507,506,506,505,505,510,514,524,527,536,537,536,539,555,562,570,577,586,674,1043,1964,1999,2019,2060,2100,2126,4501,4501,1,1,1,1,1,2759,2664,3113,3265,3328,3048,2205,1971,786,809,596,586,586,567,575,539,536,546,547,547,546,538,532,526,523,515,522,531,533,533,509,479,463,458,475,492,526,529,533,527,524,522,524,529,530,538,548,542,537,541,539,537,562,598,579,594,1138,1005,1887,1952,2225,2580,2925,3128,3473,3386,2236,760,17,1,1,4501,2192,2179,2170,2149,2113,2026,2013,1736,1549,608,593,589,578,570,550,544,541,540,531,529,519,515,511,510,510,508,509,507,508,508,509,506,500,499,497,494,493,493,492,492,488,480,475,472,470,470,472,474,478,487,495,500,507,507,507,508,508,510,514,516,517,518,520,525,527,534,537,541,545,545,552,558,569,582,596,598,602,614,616,631,648,724,913,1086,895,1721,2088,2155,2147,1610,1454,1288,1187,1126,612,258,94,30,58,80,38,4501,4501,4501,952,962,1180,1420,1797,1962,2085,4501,4501,2227,2171,4501,2344,2290,2238,2202,2163,2127,2122,2125,2143,2167,2183,2172,2171,4501,4501,4501,4501,2226,2177,2092,1683,1128,1001,1016,4501,1,863,570,286,131,32,26,28,25,1,1,983,1264,1795,2152,2178,2135,2024,1425,1035,1135,890,634,621,608,604,600,594,591,582,576,558,550,544,540,538,537,534,529,526,525,519,517,516,514,512,509,506,505,506,507,503,493,485,478,474,471,469,469,473,477,480,489,494,492,491,490,492,494,496,497,501,505,507,508,508,508,510,511,510,512,516,522,530,533,536,538,545,560,586,596,600,605,607,1444,2010,2026,2037,2051,2071,2098,2128,4501,1,1,1,1,1,1,1,1441,2390,2934,3113,2740,2154,1932,873,594,586,581,573,561,548,537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