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,943,910,881,871,870,855,846,832,816,815,802,802,803,797,784,779,776,773,773,771,769,768,769,768,768,766,766,766,768,769,772,773,774,776,779,779,779,778,778,777,777,777,778,779,780,781,783,785,787,787,792,795,800,804,805,809,813,818,822,831,837,841,847,851,858,866,870,872,877,882,895,909,917,930,947,959,971,990,1013,1026,1034,1038,1052,1049,1032,1013,996,990,977,954,945,915,902,891,882,870,861,851,843,837,827,821,815,809,804,799,793,788,782,776,770,766,765,760,757,754,749,748,743,741,737,731,736,738,742,744,748,751,756,759,762,766,772,777,781,789,794,799,806,811,817,823,833,838,844,857,867,878,886,895,911,936,948,967,986,992,1004,1020,1044,1047,1037,1030,1024,1015,997,975,965,949,930,917,910,894,878,874,871,869,861,854,847,846,839,834,832,823,819,812,807,804,802,797,793,790,786,785,782,781,778,777,777,776,775,775,776,777,776,777,777,776,773,771,769,765,765,761,761,760,760,761,759,760,760,759,760,762,760,764,768,770,773,774,786,790,801,807,818,825,833,838,844,861,875,890,892,907,946,1020,1029,982,1002,989,929,905,1001,1780,2124,2113,2102,2090,2067,1878,688,1040,665,652,640,638,628,621,611,608,605,600,596,593,592,588,587,585,585,581,569,561,554,568,584,587,588,591,593,595,598,601,604,607,612,620,626,815,653,1019,1667,676,687,698,705,720,735,756,1357,775,788,827,844,865,691,602,18,1044,947,881,861,849,845,833,823,811,809,797,794,785,776,775,764,759,756,754,752,750,749,748,748,747,748,749,750,749,749,751,752,751,753,757,760,762,768,771,774,776,776,777,776,776,775,776,776,777,779,780,781,784,785,787,791,794,799,802,804,810,816,819,822,830,837,842,848,851,858,864,868,870,873,881,897,910,919,932,946,962,973,992,1010,1020,1029,1035,1044,1035,1013,995,984,976,958,937,928,906,886,880,871,859,847,839,827,827,816,808,802,798,793,788,782,778,775,768,762,757,754,749,745,742,739,737,732,730,726,719,724,728,731,733,736,740,742,747,749,755,760,767,769,776,782,788,792,797,803,812,822,824,834,842,853,865,870,880,896,919,933,948,966,976,989,1001,1025,1039,1034,1029,1020,1012,999,978,968,949,933,919,912,896,882,872,869,867,863,855,850,848,840,835,832,825,821,812,806,801,800,798,793,791,787,785,783,781,780,777,778,777,776,776,776,776,776,775,774,771,767,763,757,754,751,747,744,742,741,740,739,738,736,735,735,735,735,736,736,737,738,739,745,746,752,758,769,774,779,786,792,809,823,833,831,838,850,872,897,912,1020,527,593,761,856,800,781,772,759,747,729,713,710,694,683,673,660,654,647,638,628,625,619,611,606,603,601,599,598,595,593,590,583,569,576,583,594,596,599,602,604,605,608,610,616,623,636,636,653,1936,812,1455,861,693,706,717,728,738,761,776,784,798,832,870,889,812,681,893,857,842,830,821,812,807,803,792,781,767,765,756,752,745,741,740,733,730,729,729,727,727,727,727,728,727,728,730,730,732,734,735,737,737,742,746,752,755,760,764,770,774,774,776,775,775,776,776,776,778,779,779,782,784,787,787,791,795,797,799,801,809,816,819,823,832,837,843,849,852,860,864,868,869,876,888,900,913,919,933,948,964,974,995,1009,1018,1026,1030,1036,1020,990,982,969,961,941,920,913,891,875,863,854,845,835,826,816,812,804,796,791,785,782,776,771,764,761,755,750,744,742,738,735,732,728,726,721,718,711,704,714,718,721,723,727,729,733,737,739,743,746,754,758,763,772,776,782,786,792,801,809,812,823,831,839,850,859,871,886,902,917,933,952,966,975,984,1009,1030,1033,1024,1014,1008,998,977,966,950,935,920,914,899,887,875,867,866,862,856,851,848,840,836,831,825,821,813,805,800,797,796,794,790,788,786,783,781,779,779,778,777,776,776,775,776,776,772,770,768,761,754,749,746,742,737,731,729,727,725,723,722,720,720,718,717,716,715,716,715,717,717,718,720,725,729,733,736,741,745,750,766,779,790,793,803,810,819,827,826,847,882,977,791,845,849,799,793,829,1802,2117,2095,2091,1743,1866,2047,2034,2027,1324,1842,895,654,631,624,618,614,612,608,607,605,603,598,592,584,593,601,606,612,614,618,619,623,622,628,635,643,933,658,2017,2031,2041,2045,786,712,723,737,748,1640,1592,835,849,836,852,896,780,802,894,806,803,800,795,787,777,768,766,761,744,728,725,718,716,713,711,710,707,705,704,704,703,703,704,705,706,707,709,712,713,715,718,720,724,725,730,736,741,744,751,757,764,769,771,775,776,776,775,775,776,778,779,780,782,784,787,787,791,794,796,798,802,811,816,821,825,833,839,845,849,852,857,859,863,866,878,891,901,914,921,935,950,964,975,993,1004,1012,1022,1027,1025,1002,978,969,963,952,927,902,888,876,861,846,842,832,825,815,804,798,793,783,776,774,768,764,759,753,749,743,736,734,732,727,723,719,716,714,707,703,693,684,698,705,708,712,715,718,722,726,728,732,738,744,747,754,760,765,769,773,781,786,795,801,808,818,829,840,844,856,870,884,897,917,937,960,965,971,988,1015,1025,1021,1011,1004,998,979,969,951,934,922,913,903,887,875,865,862,858,855,851,847,841,836,831,825,820,814,808,801,798,794,793,790,787,786,783,781,780,779,778,775,775,776,775,775,774,770,766,759,753,747,741,737,731,727,720,718,714,711,708,706,704,702,700,700,698,698,697,695,695,696,697,697,698,701,705,708,709,708,710,716,732,752,757,767,781,791,795,797,808,816,858,795,467,858,880,832,1473,2146,2145,2122,2113,2095,1100,2070,2056,2049,2039,2030,2017,2012,1998,1549,1986,1193,788,619,614,612,611,608,608,600,611,614,614,618,621,625,627,1986,1989,1993,2003,2011,2022,2027,2037,2047,2062,2071,2083,2096,2112,2132,2142,2159,2059,1080,842,876,907,884,693,907,824,778,783,781,770,758,744,726,720,711,706,705,705,702,698,692,692,690,688,689,688,689,689,690,690,691,692,694,696,698,700,704,707,712,715,716,722,729,735,737,745,751,759,766,770,774,775,775,775,775,776,777,779,781,783,784,787,787,790,792,795,800,803,813,817,821,825,834,839,844,850,853,855,858,865,869,883,892,903,914,922,934,950,964,977,993,1001,1010,1021,1023,1015,982,964,963,959,935,909,886,877,861,850,836,828,818,808,802,792,786,779,771,765,763,756,752,748,743,739,733,727,723,720,715,713,709,704,703,695,690,678,671,686,693,697,700,704,707,711,713,716,721,726,731,733,740,746,752,756,759,766,773,781,785,793,804,814,823,829,840,852,870,879,900,922,938,952,957,970,999,1019,1019,1009,1000,994,981,968,952,934,923,916,904,890,880,870,864,856,851,850,847,843,837,833,826,823,815,809,806,802,793,789,788,787,787,783,782,780,779,778,776,775,776,775,775,773,767,762,755,748,741,734,731,725,719,712,709,704,701,698,694,692,689,687,684,683,683,682,682,681,680,680,679,680,680,682,683,686,692,699,708,712,713,715,721,744,776,782,785,796,803,817,885,286,767,891,853,836,954,1078,2078,2141,2120,1837,2089,2080,2074,2061,2049,2037,2032,2022,1938,2005,1999,1996,1229,633,629,627,624,623,621,629,631,632,637,639,643,845,2007,2009,2014,2022,2030,2044,2051,2060,2071,2087,2094,2107,2123,2135,1902,1991,880,846,848,870,876,913,946,908,847,794,771,769,762,739,721,716,713,713,710,694,680,677,676,674,674,672,673,671,673,674,673,675,675,677,678,678,681,683,687,689,693,698,703,706,708,714,722,728,732,740,745,754,762,767,773,775,776,776,776,776,778,780,781,782,786,786,788,786,788,796,804,808,814,818,822,825,835,840,844,848,849,851,856,866,871,885,893,904,914,922,934,949,964,977,990,998,1007,1017,1013,996,962,949,943,931,909,890,870,863,847,834,818,814,806,797,786,777,773,765,761,751,749,744,738,733,729,724,718,714,711,709,705,701,697,694,693,682,677,665,655,672,682,688,689,693,695,700,703,705,709,712,718,720,726,733,739,744,748,754,761,770,771,781,791,800,810,813,824,839,860,868,886,903,924,939,947,955,977,1007,1014,1008,996,991,982,971,953,936,923,916,904,892,884,872,866,855,849,846,845,843,839,834,826,823,816,811,807,803,793,786,787,788,786,784,781,779,780,778,777,776,776,776,774,771,764,759,750,744,735,728,724,717,712,705,701,697,693,689,685,682,678,676,674,673,672,670,669,668,667,666,666,668,668,668,668,668,670,670,673,684,707,713,721,726,732,741,746,777,793,809,841,796,807,918,892,877,862,929,1658,2041,2143,1738,2070,2102,2097,2087,2075,2060,2056,2044,2030,2025,2017,2014,2010,1661,648,645,639,636,634,645,646,648,652,656,1894,1822,2029,2031,2037,2046,2056,2070,2078,2086,2102,2111,2119,1896,805,1294,1625,1397,875,873,909,897,944,983,963,867,832,797,751,751,750,745,738,709,685,680,674,671,670,669,668,667,668,666,664,663,661,661,663,663,665,665,668,668,671,673,679,679,685,690,695,699,701,707,715,723,726,735,741,750,761,764,771,774,776,775,775,777,780,780,782,783,785,786,788,788,787,793,802,807,814,819,821,825,834,839,841,843,845,848,857,871,876,887,894,905,915,923,936,951,967,976,987,994,1005,1007,1000,974,947,940,935,916,896,869,853,846,832,816,804,799,790,781,772,763,760,752,745,739,736,730,726,722,716,712,706,700,698,696,692,689,685,682,680,662,656,642,632,652,663,674,675,679,683,686,690,692,697,699,706,709,716,720,726,731,733,739,746,755,758,766,774,785,794,801,812,824,839,850,861,882,903,925,939,942,954,981,1000,1004,993,986,979,971,955,939,925,919,906,895,886,875,869,855,847,842,841,840,838,835,828,823,816,811,807,803,794,790,787,787,786,783,782,781,779,777,776,775,775,775,774,769,761,754,747,739,731,723,719,712,705,697,694,690,686,682,677,675,670,667,664,663,660,659,658,659,659,660,659,659,661,662,665,667,670,671,673,674,678,679,684,707,750,763,764,772,774,804,830,935,980,931,886,873,863,847,832,824,805,785,769,803,1041,2096,2100,1879,2059,1132,1972,738,878,681,676,671,668,665,660,656,653,662,663,666,672,675,684,1521,2045,2048,1451,1639,2054,2080,2100,2111,2124,2131,2088,1157,933,840,852,852,877,880,900,945,931,1002,958,856,837,796,771,761,751,727,697,686,683,682,681,677,669,665,662,660,658,657,657,658,655,653,653,654,655,657,660,660,663,666,671,673,679,684,689,693,695,702,711,718,722,731,739,746,758,762,770,774,776,775,776,776,778,780,780,783,784,786,786,789,795,800,804,808,814,818,822,826,835,840,842,843,844,850,862,874,878,887,896,906,916,926,938,953,969,975,982,990,1001,992,985,952,936,928,913,892,871,855,841,834,820,806,792,788,776,767,758,750,745,738,733,727,724,719,714,710,705,700,695,690,687,685,680,678,673,671,668,650,640,627,615,632,648,662,664,668,672,675,678,681,684,689,694,696,702,708,713,717,720,727,732,740,745,751,761,770,782,786,796,811,821,832,849,865,885,900,918,931,938,965,983,996,992,980,975,970,956,940,927,920,908,894,885,878,875,865,852,845,843,839,836,834,829,824,817,813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