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49,922,901,895,879,866,848,837,824,813,796,782,772,763,755,745,733,728,710,2071,2063,2054,3439,693,2015,2007,1986,639,659,1,1,21,77,56,52,655,657,660,664,669,671,673,1,63,57,51,43,42,42,44,1,1,1,1519,770,781,802,811,819,836,854,870,885,890,906,926,951,965,986,989,986,980,974,964,950,938,932,923,913,902,894,891,882,876,871,868,863,854,848,841,837,833,830,826,821,818,817,816,814,812,810,809,808,807,806,806,806,806,806,807,808,810,811,813,815,816,819,821,825,829,831,831,831,833,838,845,853,860,868,874,878,884,895,903,915,919,929,938,949,955,964,973,976,966,957,937,914,893,884,874,858,842,827,820,807,788,778,772,760,749,742,733,726,720,710,705,699,691,683,677,671,668,666,667,669,670,674,676,682,688,696,705,708,718,725,732,738,749,759,769,781,786,800,814,824,832,850,865,885,896,906,925,943,970,975,979,974,964,953,943,934,923,916,912,902,893,882,870,865,856,850,845,843,841,840,838,834,831,826,822,819,818,815,814,812,811,810,808,807,806,806,806,806,807,807,808,809,811,813,815,817,818,821,826,828,833,839,843,845,851,859,866,874,875,881,888,896,900,906,917,926,937,942,953,964,977,980,985,987,976,957,940,919,901,885,874,860,844,833,818,810,793,777,766,756,748,737,732,720,716,708,699,694,690,684,678,673,668,665,660,656,652,650,647,647,644,643,644,646,650,653,659,661,666,671,677,682,685,692,699,708,711,719,732,742,748,754,766,784,796,804,821,836,851,867,873,889,906,930,943,966,984,983,980,976,967,954,941,935,925,916,906,896,894,886,877,873,870,865,857,850,844,840,836,832,828,824,819,816,816,815,814,812,810,810,809,808,808,808,808,808,809,810,811,812,814,816,818,820,822,826,831,834,836,841,846,850,855,861,866,870,873,874,879,888,894,909,913,924,936,948,956,966,977,983,978,970,950,931,907,898,887,874,857,839,833,820,806,792,786,774,762,756,747,739,731,722,716,712,704,697,689,682,680,677,678,679,679,686,690,697,702,710,718,722,730,738,748,751,762,772,784,797,801,816,826,840,848,865,883,897,913,920,944,960,984,986,983,974,963,951,943,933,924,917,915,906,897,886,878,875,868,863,857,855,849,844,839,835,833,829,824,821,820,817,815,814,812,811,809,809,808,808,808,808,808,809,810,812,813,815,815,817,821,825,828,831,836,841,845,848,855,861,868,874,877,884,891,898,903,910,921,931,941,945,957,968,976,978,981,977,959,936,919,901,885,864,855,838,829,818,800,792,773,763,750,743,734,727,716,706,699,692,687,680,676,670,664,660,654,652,647,643,639,638,634,634,634,633,627,630,636,639,643,646,650,655,661,666,670,676,685,691,697,704,713,726,731,738,750,765,780,787,801,819,832,846,851,869,892,907,918,943,965,977,976,974,969,958,944,939,928,919,909,900,897,889,881,875,872,868,860,853,846,843,838,834,830,827,823,818,817,815,815,815,813,812,811,810,810,810,810,811,811,812,814,814,817,819,820,822,823,827,832,836,840,843,847,853,857,862,868,875,881,883,890,899,907,917,924,933,944,954,962,971,983,991,992,986,966,945,925,912,904,890,875,859,852,834,820,808,802,788,779,770,762,757,746,739,732,726,719,711,704,697,694,690,690,694,694,701,704,711,716,726,732,736,746,752,763,768,774,789,798,809,815,827,843,856,867,882,897,911,926,935,958,981,995,997,994,983,971,957,950,938,931,920,916,908,898,888,881,877,872,864,859,856,850,846,841,836,834,830,826,823,822,819,817,816,814,813,812,811,811,810,810,809,810,811,811,813,814,814,816,821,824,827,831,833,839,843,848,850,857,864,869,878,881,887,894,902,907,913,924,933,945,949,959,969,973,974,970,955,937,909,897,882,863,843,832,818,807,797,780,771,756,746,733,726,714,706,696,688,684,677,669,663,658,654,647,644,638,636,632,629,624,622,620,620,618,619,614,616,620,623,628,630,633,639,643,650,655,659,666,672,677,684,693,704,710,716,728,740,753,761,775,794,806,815,822,846,864,883,893,918,941,960,969,969,967,960,947,941,931,922,912,903,900,892,884,878,876,869,863,855,849,845,840,836,832,829,825,824,822,818,816,814,814,813,813,813,812,812,812,812,814,814,816,817,818,821,822,825,826,830,834,839,841,845,849,854,859,864,870,875,882,885,891,902,910,920,928,936,946,956,963,973,988,997,1001,999,985,964,939,928,918,907,919,879,869,851,838,825,822,808,796,784,777,771,763,754,747,741,734,728,718,712,709,705,707,708,709,715,718,724,730,738,749,751,1,1,1,23,31,31,27,31,1,1,842,704,1,901,911,924,943,954,974,994,1004,1004,999,987,971,961,953,941,932,923,918,909,900,891,883,878,873,867,861,858,853,847,843,839,836,832,828,825,824,821,819,818,816,816,814,813,812,812,812,812,813,813,813,813,815,818,820,824,828,830,833,835,841,847,851,853,859,865,872,882,884,889,897,905,910,917,928,936,948,951,961,965,966,962,946,929,908,883,875,857,840,815,805,796,786,772,761,748,736,727,714,703,695,690,681,671,668,661,655,650,645,640,634,630,625,623,618,615,613,610,607,606,606,606,603,604,607,611,613,616,620,625,630,635,639,644,652,659,663,667,680,687,698,700,711,727,739,747,760,780,792,802,808,825,840,861,873,891,914,936,955,961,962,959,950,944,934,925,914,905,901,894,885,880,878,871,863,857,850,847,842,838,835,832,829,827,824,822,820,816,814,814,814,814,814,814,814,815,815,816,818,819,821,823,824,826,828,831,836,840,842,847,851,856,861,865,871,877,88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