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4,108,106,102,100,98,98,95,93,93,92,92,93,94,93,92,92,95,93,93,107,488,522,531,533,538,543,549,552,555,560,566,571,575,583,591,599,609,611,625,635,653,810,1767,2059,2060,2056,2056,2056,2055,2053,2055,2057,2061,2069,2077,2084,2094,2102,2113,2121,2125,2469,2915,3203,3750,4234,4501,4501,4501,3524,304,1,1,1,1,91,3339,4501,4379,3573,2366,2006,2002,2016,1972,1531,928,662,652,637,638,640,633,637,639,635,630,628,628,638,637,639,645,648,647,649,650,654,654,740,1585,1963,1905,2024,2023,2020,2022,2032,2942,3466,3989,4414,3571,1,1,1,1,1,4501,4469,4107,3849,3700,3347,2270,2112,2106,2103,2099,2094,2090,1987,2066,2067,1974,1457,2019,2047,2043,2042,2041,2042,2044,2042,1103,772,659,648,636,622,611,607,597,588,580,575,573,568,562,557,553,549,543,536,532,530,522,494,190,95,91,92,91,93,94,95,95,93,92,93,93,95,97,97,99,101,105,109,124,133,151,172,169,403,498,538,542,542,546,550,552,550,548,545,532,524,519,533,541,617,702,917,1577,1515,1650,885,22,533,4501,1,3192,164,4501,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,298,387,440,459,481,487,492,506,511,523,554,546,543,556,555,530,519,500,479,470,461,454,431,373,345,347,337,343,335,345,362,346,321,20,1,1,1,1,1,1,6,1,1,479,404,708,905,1372,1814,1082,545,536,543,551,550,549,552,552,554,559,556,554,545,544,541,543,525,377,95,86,87,87,92,103,105,105,102,100,97,96,95,93,92,92,94,96,96,94,93,91,90,90,99,174,506,520,526,529,533,539,546,549,551,557,560,566,569,576,582,589,598,603,617,632,652,660,818,1642,1968,1428,1717,850,1899,741,689,694,698,696,694,692,1829,2068,2073,2077,2078,2084,2088,2099,2102,2201,2824,3332,3437,3466,3850,4242,3037,241,1,1,506,2374,3130,3141,2674,2096,2047,2039,2036,2040,2036,2026,1401,667,654,653,659,658,654,653,652,651,651,656,655,653,657,655,655,659,658,656,728,2018,1993,2045,2046,2047,2046,2052,2054,2364,3125,3332,3736,4211,2105,320,1,1506,2811,3244,3394,3468,3474,2426,2097,2078,2073,2064,2063,2058,2060,2057,1475,684,688,686,685,685,687,687,687,683,683,683,680,678,679,678,665,654,638,622,612,606,598,591,581,574,568,563,557,550,545,543,539,535,530,529,524,511,377,105,91,90,91,93,95,96,97,95,94,93,93,95,96,96,99,101,102,101,95,87,86,87,87,89,112,453,513,543,542,542,547,546,541,534,529,527,530,538,532,518,507,502,508,601,925,912,1086,1619,1785,1629,896,1,17,1,1,1,1,1,1,1,1,1,1,1,1,1,26,401,417,437,454,467,479,486,497,507,514,530,544,531,529,538,535,514,511,500,484,472,463,453,431,402,390,372,366,349,347,347,343,344,313,274,1,1,1,1,37,1,107,1,1,466,464,488,482,477,474,469,481,487,488,501,511,515,515,517,522,531,528,526,524,522,506,415,190,90,89,87,87,86,85,84,90,94,100,99,96,96,95,94,93,93,95,97,97,96,94,91,90,92,117,344,511,519,523,526,530,534,540,543,546,554,558,565,568,574,581,588,599,604,624,643,663,669,678,676,675,673,673,670,669,667,666,666,667,668,669,669,670,673,674,676,680,1938,1926,2044,2043,2052,2052,2060,2063,2079,2094,2109,2121,2134,2143,2240,2658,3021,3201,3071,2311,2081,2070,2056,2049,2038,2043,2042,2032,1941,786,673,666,673,670,672,664,663,664,673,673,675,679,682,682,676,1139,689,969,2015,2060,2063,2055,2068,2070,2076,2082,2086,2220,2224,2163,2151,2141,2130,2116,2105,2086,2072,2055,2048,2042,2031,2030,1983,2023,1193,683,659,660,658,655,652,652,652,655,652,655,656,658,658,662,664,665,667,670,674,666,657,641,620,608,603,593,583,573,565,560,557,551,546,540,538,531,528,525,523,519,512,458,156,94,90,90,94,96,98,97,95,94,94,94,95,96,96,97,91,85,83,84,85,86,87,88,89,90,92,114,464,515,521,520,519,519,517,512,508,512,519,517,499,490,489,487,482,477,479,475,470,464,467,459,488,440,428,1,7,1,1,1,1,54,366,378,378,391,390,402,394,398,420,445,458,469,479,494,504,509,525,534,517,508,522,527,503,503,491,477,470,465,458,437,408,404,400,391,400,389,386,369,366,340,295,273,186,1,83,426,440,449,451,458,462,476,483,488,491,494,501,508,512,512,513,510,507,500,497,502,504,507,509,507,499,228,96,90,89,88,87,86,86,85,83,82,82,82,89,96,96,95,95,94,94,94,96,97,95,93,91,92,99,227,471,519,525,531,533,536,539,545,547,548,555,560,566,568,576,582,590,599,603,618,632,652,657,664,666,663,658,658,654,653,650,648,646,644,642,641,639,636,635,643,647,650,649,651,667,1227,1928,2014,2023,2028,2038,2055,2067,2077,2088,2108,2117,2131,2142,2151,2422,2734,2672,2239,2099,2081,2078,2074,2073,2061,2063,1668,1761,689,681,679,678,683,683,684,695,693,694,689,691,696,694,697,779,1599,2073,2075,2082,2086,2094,2096,2103,2104,2127,2145,2139,2119,2109,2096,2084,2073,2062,2045,2035,1959,680,716,642,640,640,640,643,643,640,641,638,635,632,630,627,627,632,635,638,639,641,647,650,653,654,656,658,653,645,628,609,600,595,586,579,573,567,563,559,554,549,547,543,542,540,537,536,531,525,502,322,104,94,91,92,93,95,95,94,94,96,96,96,95,93,83,81,82,82,83,84,86,86,87,88,89,95,104,322,488,486,470,462,451,448,443,442,428,414,416,422,425,429,419,420,424,434,436,448,457,459,458,456,447,450,531,355,296,320,330,370,406,391,409,410,418,431,435,443,454,473,479,485,489,493,495,494,494,513,513,494,485,507,512,485,486,488,488,487,486,481,478,465,453,452,454,447,445,422,423,406,388,339,323,329,362,448,467,474,472,470,467,464,461,451,451,448,4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