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0,793,794,790,790,789,787,787,785,785,784,784,782,782,783,782,785,791,802,804,810,818,828,837,873,2283,2292,2240,2210,2187,2150,2127,2106,2069,750,662,933,620,612,609,617,611,597,595,587,571,574,577,565,558,555,544,542,540,541,539,533,530,529,526,528,527,527,528,531,529,532,531,530,533,534,532,533,531,529,533,542,537,535,540,541,562,562,570,572,575,588,592,595,607,614,619,620,623,634,642,668,1856,2065,2104,2133,2152,2193,2217,2240,2296,2301,879,842,826,820,808,803,797,784,780,778,777,777,777,777,777,778,777,778,778,779,778,778,779,778,778,772,762,754,737,730,724,715,710,706,710,712,716,722,727,731,743,748,751,754,756,754,751,746,741,731,727,723,717,713,710,704,699,696,686,684,680,677,675,675,672,671,671,673,674,674,677,680,682,689,694,700,712,720,727,758,775,792,809,826,856,889,899,923,997,1080,1068,1021,1014,4500,2332,2279,2251,2230,2217,2197,2175,1388,2147,2126,2115,2103,2088,2084,2077,2065,677,666,659,660,653,647,646,647,650,653,642,646,644,644,643,651,652,657,661,666,669,679,1696,1024,814,1984,2104,750,835,780,2177,2201,2220,2241,2260,2282,4500,2305,2081,1141,1024,945,892,879,868,835,812,795,775,764,749,724,711,706,694,689,683,676,673,670,669,669,669,670,672,673,675,677,679,683,685,688,695,698,700,704,708,711,720,722,726,735,740,742,746,745,745,743,739,735,728,724,719,715,711,707,704,708,713,722,726,735,747,754,760,767,770,770,770,769,768,769,772,771,772,771,772,772,773,774,777,781,785,796,803,811,826,837,844,870,894,2279,2267,2235,2211,2167,2168,2522,2091,2080,681,2035,702,612,610,611,612,602,579,580,580,568,569,556,559,543,543,539,531,537,539,539,528,527,525,524,531,528,528,531,530,531,531,532,532,532,532,532,531,533,536,541,542,535,539,546,537,542,548,569,560,557,573,581,606,602,602,608,617,659,660,1220,2080,2087,2117,2132,2163,2209,2227,2256,515,2351,905,871,856,847,828,820,808,796,789,785,776,774,772,769,766,766,764,764,763,763,765,765,764,763,762,755,750,743,731,725,721,713,708,706,708,711,714,718,722,726,736,739,741,744,744,745,740,736,732,723,719,716,709,704,701,696,692,688,683,680,678,674,672,671,669,667,666,665,665,665,668,669,674,679,684,689,702,713,729,748,755,761,779,807,833,855,861,877,920,957,984,1862,2327,2325,1656,844,1193,825,1418,820,771,762,750,736,728,721,712,703,695,685,684,679,669,666,664,654,657,657,657,655,647,645,647,644,647,653,650,658,663,671,679,685,693,702,711,717,726,737,745,759,779,2002,2134,822,881,2217,2294,2331,2350,989,946,898,864,853,844,823,807,773,745,739,734,724,711,700,684,678,674,667,663,661,659,660,660,661,662,664,665,668,669,673,675,676,682,685,687,694,698,702,710,713,717,727,731,734,737,737,737,736,733,732,726,720,716,714,710,707,705,707,712,721,725,729,737,744,748,755,757,757,757,758,757,755,757,759,763,766,769,777,782,786,801,806,814,830,837,849,872,881,892,932,4500,14,3491,2379,2230,2188,2162,2179,2104,2092,2074,2055,2026,1550,611,606,610,616,602,589,580,571,564,562,549,553,536,536,527,532,534,540,533,529,524,522,526,526,523,524,520,523,518,518,521,520,522,522,525,528,533,534,534,531,530,537,551,554,563,568,580,584,598,602,604,604,609,908,2020,2031,2048,2074,2103,2116,2143,2156,2192,2231,2250,2402,0,0,0,0,913,902,877,864,852,836,827,819,805,798,790,779,773,768,758,757,755,754,754,752,751,749,747,741,737,733,728,725,722,716,714,711,714,716,718,723,726,730,739,741,743,744,743,741,736,733,727,718,713,709,701,699,695,689,685,681,676,673,672,668,666,664,662,661,658,656,655,655,656,658,661,669,673,679,701,709,714,721,727,734,769,803,818,834,842,854,893,926,951,2210,2319,2295,2257,830,821,833,2162,815,1182,742,735,720,709,705,695,692,688,676,670,668,660,652,653,646,644,641,641,642,637,636,636,640,638,639,643,642,654,650,659,666,673,682,692,698,705,718,731,740,880,2160,2153,2035,1086,2241,2279,2307,2330,987,915,883,847,836,827,809,801,778,728,716,713,706,702,697,683,672,666,656,653,652,652,652,652,655,656,658,661,662,665,668,671,673,678,681,685,691,694,699,709,712,714,723,727,730,735,736,737,736,735,733,726,722,719,719,716,713,712,713,717,723,726,728,732,735,738,744,745,746,750,751,753,757,760,765,777,785,791,806,813,822,837,844,854,876,882,897,926,934,946,1025,55,67,0,2333,2240,2200,2180,2155,2119,2063,1460,689,849,657,638,629,621,616,606,605,599,594,590,576,573,572,567,558,556,548,554,552,549,544,544,540,540,543,542,542,542,543,545,542,542,541,542,543,544,542,550,553,554,554,564,565,570,576,574,585,592,586,606,607,623,626,634,649,686,670,2041,1873,2112,2129,2159,2179,2208,2246,2265,1127,0,0,0,980,960,948,922,906,892,872,863,854,838,829,820,805,798,790,775,769,765,759,757,753,746,744,741,737,732,729,727,726,723,719,718,716,718,721,723,727,729,733,739,741,741,741,740,738,733,729,725,717,712,708,699,697,694,687,682,679,675,672,670,666,664,662,660,657,655,653,653,652,652,653,654,667,676,685,691,695,697,708,716,731,778,794,803,818,827,834,871,895,923,2311,2295,2275,2231,2209,1996,2168,2136,842,736,730,718,698,692,685,677,670,664,653,655,649,639,638,631,624,628,626,624,625,623,624,624,623,623,631,627,633,637,642,647,654,658,666,676,677,686,707,717,728,743,752,2147,207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