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1,1,4501,1,1,1,1,1,4501,1735,1869,876,850,825,1236,2140,791,795,798,799,798,784,780,776,775,773,769,768,768,769,772,767,766,759,748,734,725,720,721,719,713,712,707,699,694,692,685,678,673,669,667,663,663,660,660,660,661,663,666,667,672,677,683,685,691,694,699,703,705,710,715,722,725,731,737,747,755,758,768,777,785,789,798,811,824,837,843,858,875,896,918,951,988,1037,59,16,4,4,61,18,1,1,1,4501,1,1,1,1,3364,3712,2016,2010,648,644,634,627,622,618,612,605,611,617,626,627,642,643,653,1451,2002,2029,3602,4501,4501,4501,727,1,1,4501,1,1,18,19,29,31,1,1069,994,963,928,899,885,860,843,831,822,812,801,793,783,778,772,763,755,749,741,735,727,721,718,712,708,704,702,697,692,688,684,681,674,671,666,664,661,660,659,659,661,662,665,668,671,675,680,685,692,696,701,707,714,717,722,724,727,735,740,751,759,766,771,774,776,775,777,785,789,789,788,788,802,809,811,813,814,827,854,867,868,872,883,946,958,744,89,28,1,4501,4501,1,1,1,1,1,1,2316,2091,2076,771,724,687,685,668,662,648,641,625,618,611,596,596,588,578,586,590,590,595,604,610,617,624,624,645,655,665,673,679,1383,2014,2069,2074,2089,2608,3163,3445,3219,338,1,1,10,1,1,4501,1,990,923,895,883,880,865,851,838,831,826,820,815,807,804,799,796,792,790,785,780,775,770,767,763,756,747,742,735,730,724,719,717,711,702,698,695,690,682,678,674,671,667,663,661,659,659,659,660,662,663,668,672,677,680,686,690,695,699,701,706,711,717,719,725,731,739,746,749,759,767,775,779,787,796,808,818,823,838,854,874,891,929,965,996,1076,718,32,78,29,115,52,1,1,1,1,1,1,1,1,2446,2424,2033,2028,2026,661,660,647,643,635,628,633,642,644,653,664,715,1982,2043,2046,2991,3379,4075,4047,4116,2100,1,1,1,4501,1,9,57,91,31,425,1019,986,949,913,885,866,844,826,814,808,800,790,782,776,770,763,753,747,743,736,730,724,718,715,710,706,701,698,694,687,683,679,677,671,667,663,661,660,659,659,660,661,663,668,673,675,680,686,690,696,701,705,713,719,721,726,732,739,745,748,754,761,767,771,776,783,787,791,796,799,804,809,813,821,826,834,846,847,861,876,896,908,935,964,1042,404,22,23,18,11,1,1,1,1,1,1945,2259,2091,2061,2057,770,685,678,671,668,662,650,632,628,622,612,605,596,592,588,587,575,580,587,585,594,602,607,614,617,631,644,653,657,665,673,677,694,2046,2051,2603,2776,3280,3684,1479,1,1,1,1,4501,4501,1,4501,976,947,918,906,884,868,852,846,835,829,820,814,811,805,800,795,793,788,782,777,771,769,764,756,750,746,740,734,728,722,720,714,709,703,700,693,687,683,677,674,669,664,662,660,659,658,659,660,661,663,668,673,675,681,686,693,698,699,705,710,714,716,722,728,736,742,745,754,762,770,772,781,790,801,811,816,828,843,861,875,910,951,989,1028,1060,235,22,3,3,2,1,1,1,1,1,1,1,1,1,12,2091,2059,2050,685,681,669,660,649,646,656,667,673,686,694,704,1756,2073,2087,2779,3530,3732,4107,3112,1,1,1,1,1,4501,54,20,28,1,1021,1005,971,934,899,872,860,835,821,809,806,796,787,779,769,764,758,751,744,740,733,727,722,717,714,710,705,700,697,692,685,678,673,670,666,662,659,659,657,658,658,661,661,666,670,675,678,684,690,695,699,704,710,715,722,724,728,733,740,746,748,756,762,769,772,777,783,788,794,798,803,808,813,818,826,836,846,860,866,884,904,931,941,968,1034,374,22,3,7,1,1,1,1,1,1,1,2025,2106,2044,1436,683,666,669,660,653,648,641,622,615,611,601,596,593,589,587,582,576,575,578,584,588,590,597,598,605,609,615,631,641,646,653,660,661,671,668,1979,2041,2064,2117,3311,2821,1475,18,1,1,1,12,1,1,1,26,952,934,913,888,870,860,849,835,825,818,813,805,800,795,793,788,782,778,771,767,763,756,749,746,741,735,728,723,722,716,712,707,704,698,692,686,681,677,671,667,663,661,659,658,658,658,659,660,664,668,671,678,683,689,696,698,704,709,715,718,722,727,734,741,744,753,761,769,772,782,791,802,815,820,831,848,869,885,919,955,1001,1038,1058,415,15,17,1,1,1,1,1,1,1,1,1,4226,4075,3433,2180,2094,1257,718,711,697,689,680,670,677,691,696,709,1736,727,2129,2101,2113,2789,3205,3369,3833,2270,1,1,1,1,41,64,88,97,124,128,141,157,150,1,1,1,1,847,831,818,812,802,791,781,773,768,761,753,747,743,734,729,723,719,715,709,704,698,694,689,680,673,668,666,662,659,658,656,657,657,658,661,663,667,674,679,682,687,695,698,704,708,713,717,723,725,729,736,742,747,750,755,761,768,771,775,781,787,793,797,803,808,816,821,832,843,859,877,885,908,932,959,976,1039,712,82,21,1,1,1,1,1,1,1,896,2264,2060,2041,2023,668,669,658,661,651,645,640,628,613,606,603,596,591,588,578,578,570,568,562,564,566,568,574,583,585,591,594,601,616,623,633,641,645,651,649,655,659,1986,2038,2050,2299,3026,3654,2244,28,1,1,1,4501,1,2,105,985,962,940,908,884,872,856,841,826,818,812,803,796,792,789,783,776,772,767,765,761,754,749,745,740,735,729,725,724,719,715,710,707,701,694,690,684,681,675,671,666,663,660,658,657,658,658,658,662,665,668,673,680,687,693,697,703,710,715,719,726,732,739,745,749,759,767,777,779,791,802,812,826,831,844,2363,175,1,1,185,190,196,195,83,63,136,147,152,154,155,152,145,118,125,137,143,146,147,147,146,146,145,145,144,144,143,144,160,1,135,128,124,124,128,1,2148,2388,2900,3167,124,289,1,1,1,11,16,58,139,141,142,171,183,179,170,173,177,178,177,174,166,167,171,1,1,786,780,777,768,759,752,748,740,734,726,721,717,711,704,697,693,687,677,671,666,664,661,659,657,657,658,659,661,664,666,671,677,683,686,691,698,702,708,711,714,720,724,727,731,736,741,746,748,753,757,764,765,771,776,780,786,790,795,802,808,815,826,840,858,876,888,911,938,965,1013,887,215,26,24,26,7,1,1,1,1,1,2052,2046,2032,2016,713,642,638,645,646,636,629,624,612,602,594,591,586,582,576,567,564,566,566,553,559,565,570,572,573,582,587,594,599,604,613,618,626,637,636,632,636,646,1810,2015,2030,2043,2241,3296,3555,736,10,1,1,1,1,1,12,981,958,931,900,876,862,845,832,817,810,802,795,789,783,782,776,772,768,762,761,758,752,748,745,740,735,730,725,724,720,716,711,709,704,699,693,687,685,678,673,667,664,661,659,657,657,656,657,660,663,666,672,676,684,691,695,703,712,717,722,728,735,743,750,755,764,770,776,775,1,174,172,172,172,170,174,172,160,144,140,139,136,137,138,127,120,118,112,111,109,106,29,35,1,4501,1,1,1,112,115,115,116,123,1,1,1,155,1,5,749,754,764,802,1,1,102,102,104,105,104,104,97,88,83,60,36,25,59,178,207,201,199,198,189,156,135,149,151,168,173,173,171,168,167,167,167,171,1,1,751,749,742,736,728,722,718,710,701,694,690,683,676,669,664,662,659,657,657,657,658,660,662,666,668,674,682,687,689,694,701,705,709,713,717,721,725,728,731,735,739,744,745,749,754,758,760,764,768,773,778,779,784,790,797,802,814,824,838,861,868,893,920,945,977,919,447,11,1,1,1,1,308,589,2372,3167,2061,2014,1996,1990,641,623,629,639,632,626,621,617,605,599,593,586,581,576,577,571,563,557,557,551,555,555,559,568,576,581,584,586,590,597,608,615,621,628,632,630,628,632,1276,1957,1992,2003,2065,3642,3695,1889,1680,1530,693,1,1,1,1,955,927,907,879,856,844,827,813,802,795,789,783,779,774,772,768,764,761,757,756,753,748,746,743,740,734,730,726,725,722,717,714,712,708,702,697,691,689,683,676,670,668,664,661,659,658,658,658,659,663,664,670,676,683,692,694,703,710,718,722,729,735,736,1,1,165,163,164,165,168,169,173,154,141,130,129,151,171,190,191,191,189,191,196,205,212,209,61,23,1,1,59,17,12,96,96,96,88,4501,2177,2168,801,774,763,759,748,737,748,757,764,770,781,793,1743,2185,2203,2249,4501,1,1,90,90,84,69,25,23,216,215,211,201,193,191,189,189,191,188,185,183,158,130,124,135,160,167,170,171,167,162,160,162,169,1,741,723,719,715,710,702,694,689,683,673,668,664,662,660,658,659,660,660,664,666,669,672,678,683,690,693,698,705,707,712,714,719,722,726,727,730,733,739,742,743,746,750,753,755,758,761,765,769,771,775,780,785,790,798,809,823,843,852,873,899,933,954,839,369,1,1,1,4501,3323,3276,3023,3792,2641,2009,1972,1969,1812,621,619,625,632,624,617,608,603,592,588,582,577,576,568,568,565,561,556,549,555,556,554,557,563,570,572,570,579,586,592,597,600,609,617,622,617,613,615,617,1565,1914,1991,2004,3349,4173,4343,4014,4188,3473,1341,1,1,1,916,904,879,854,836,825,813,799,790,783,780,774,768,765,764,760,757,754,751,750,747,744,741,739,736,733,730,727,726,722,719,715,714,709,705,700,694,692,686,681,675,671,667,664,662,661,661,661,661,663,665,671,675,681,690,693,701,710,713,708,206,163,159,158,160,167,172,170,164,128,122,134,165,174,177,179,179,179,183,191,195,192,192,196,204,215,217,219,181,97,86,86,85,73,4,4501,4501,2265,2240,2093,819,808,791,780,776,767,758,757,765,771,777,782,2115,4263,1,1,1,1,4501,136,1,26,101,93,86,85,101,173,203,210,205,200,199,192,182,182,178,178,177,176,174,174,162,128,118,126,146,170,171,163,160,157,157,169,333,671,705,698,692,687,681,673,669,666,664,662,661,663,663,664,667,669,673,676,681,689,694,696,701,706,709,713,717,720,723,726,727,730,733,736,739,740,744,747,749,750,753,755,758,761,763,768,772,777,781,789,798,808,827,835,854,881,906,933,4501,1,4501,1,4228,4444,3746,4102,4405,3918,2197,1987,1963,1896,615,613,610,615,618,615,607,600,595,590,583,577,575,569,564,555,557,553,553,544,544,547,547,550,558,557,559,564,575,579,584,587,593,602,607,611,608,606,606,598,1743,1950,1977,1991,2499,3683,4367,4278,4197,3797,2661,938,18,948,908,891,870,846,824,815,802,789,781,775,771,766,761,758,756,754,750,749,746,746,745,741,739,737,736,733,730,726,726,724,719,716,715,710,706,703,698,695,689,685,677,675,671,669,666,664,664,664,664,666,668,673,677,683,690,693,699,699,195,162,156,156,158,160,163,162,132,119,117,137,171,173,175,176,171,169,171,176,183,182,188,201,191,208,204,105,89,81,100,178,228,220,200,206,210,209,197,194,193,191,190,190,188,187,187,186,185,174,174,175,176,177,178,179,180,181,183,184,189,194,201,205,201,195,203,221,128,86,79,82,124,186,175,168,167,160,158,160,164,167,168,173,1,168,168,143,123,121,152,159,159,158,156,154,156,159,283,696,692,689,683,678,671,669,667,666,666,668,668,669,672,674,678,680,687,693,698,700,704,709,711,715,717,720,723,727,727,729,731,734,737,737,740,742,744,745,747,749,752,754,756,760,763,770,772,781,788,800,816,825,845,867,890,912,4501,1,1,1,1028,2290,3384,4064,3876,3530,2016,1977,1880,1823,601,597,591,599,605,605,600,590,587,581,578,572,569,564,558,552,552,552,548,540,539,543,544,546,555,560,560,566,570,573,577,578,583,592,597,600,601,591,595,592,588,1190,1932,1986,1999,2860,3553,3899,4245,4364,3203,1251,128,4501,900,881,862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