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2,2123,2156,2785,3062,0,0,0,2338,854,833,820,809,804,801,795,794,792,790,786,782,773,771,768,767,767,767,770,773,774,775,777,779,782,783,785,788,789,789,791,793,792,787,781,776,760,748,739,717,704,696,686,683,681,683,684,685,686,685,687,690,693,694,696,694,693,688,683,682,682,683,684,682,679,677,673,672,672,670,669,667,664,663,660,659,657,656,656,656,656,656,656,657,659,660,663,665,667,671,677,680,685,689,690,691,694,696,698,701,704,708,715,719,724,738,748,757,785,799,808,821,828,836,881,915,941,1503,1342,1564,1905,4500,4500,3661,3651,3451,2241,2215,2206,2184,2167,2156,2141,2135,2098,2118,2106,2095,2092,2082,2072,1715,658,655,654,645,646,640,643,637,636,641,643,649,794,808,1978,2077,2074,2090,2101,2078,2098,2138,2137,2149,2159,2173,2182,2210,2220,2228,2612,3052,3308,3283,2880,2677,2525,2392,2336,892,867,851,812,802,793,781,774,766,736,727,719,709,705,700,694,690,687,683,681,680,678,676,676,675,672,669,667,665,664,660,657,657,656,655,655,654,654,654,654,655,655,657,659,661,665,665,667,670,670,673,677,679,681,681,681,681,683,686,689,694,696,695,695,691,690,688,688,687,686,685,685,686,687,690,702,710,720,740,750,757,768,773,777,780,779,776,775,775,775,772,771,771,768,768,767,765,762,762,759,760,759,764,767,774,781,783,785,790,792,793,798,804,807,823,843,2098,2526,0,3833,2827,2170,3192,2652,2450,3343,2035,2015,1894,2027,2014,3830,2364,2146,2826,2431,3115,0,0,2272,2254,819,808,802,796,792,790,786,782,780,778,776,772,764,759,756,754,754,754,756,759,761,762,762,763,764,764,766,767,768,769,772,772,772,764,761,758,748,740,729,712,702,694,688,687,688,688,688,688,688,690,690,694,695,697,696,695,693,686,683,681,679,678,678,677,675,673,670,667,666,664,662,660,656,654,654,654,653,652,653,653,654,654,654,656,657,657,659,661,662,662,663,663,666,666,667,668,671,673,676,681,684,688,696,699,702,715,731,743,761,766,772,784,789,804,855,874,896,2292,2374,2378,2367,3665,4500,3635,3630,2387,2210,2200,2186,2162,2152,2140,2136,2055,2112,2097,2090,2087,2054,1959,1164,943,867,638,636,639,633,626,626,620,621,635,639,636,639,636,1109,2041,2064,2064,2090,1948,2102,2119,2128,2134,2145,2153,2166,2194,2208,2219,2810,3225,3401,4500,3347,2915,2513,2341,2037,856,846,832,788,772,762,753,749,744,730,714,705,695,690,685,679,677,673,668,664,663,659,658,656,655,654,654,653,653,653,653,653,653,652,652,651,652,652,652,652,652,652,652,653,655,660,660,661,665,666,669,673,675,677,678,678,678,682,686,687,694,694,695,692,691,689,688,690,690,690,690,689,690,689,691,698,704,713,730,740,746,755,756,757,763,764,762,762,761,760,757,756,756,755,756,756,753,752,751,748,748,750,754,758,765,773,775,777,781,784,785,791,793,798,806,817,831,2264,2627,2366,3781,2455,3427,3094,2998,4484,4500,2191,2019,2058,2807,3097,2426,3162,2261,3187,1337,0,4500,1925,820,800,796,790,786,783,781,776,775,772,770,769,763,752,748,744,743,742,741,744,747,747,747,747,747,749,750,750,752,752,753,757,756,753,747,746,745,737,729,720,707,701,696,693,693,693,693,693,694,693,692,690,692,694,695,695,692,691,685,681,680,676,676,675,673,671,669,664,662,660,658,656,653,650,649,649,651,651,650,649,649,648,647,646,645,644,644,644,643,644,645,647,647,648,650,652,652,657,658,663,667,672,675,681,684,689,711,721,726,732,737,742,753,762,788,828,841,857,2286,2335,2340,2335,2606,3055,3153,2235,2214,2196,2180,2170,2144,2134,2126,2109,2099,1825,911,2053,1702,690,1093,738,635,638,636,627,626,616,616,611,610,615,620,620,631,622,628,630,649,647,886,705,713,724,2095,2096,2114,2123,2133,2148,2175,2192,2204,2220,2269,2824,3162,2969,2637,2325,2284,850,828,818,810,776,746,732,723,719,717,710,707,701,686,678,673,667,663,661,655,652,650,646,644,643,642,641,639,638,638,638,638,639,637,639,639,640,643,645,646,648,648,648,646,647,649,654,655,656,660,662,663,667,669,671,673,673,674,681,685,688,692,695,696,695,693,692,692,694,694,695,694,694,695,695,695,698,701,705,718,727,732,735,736,737,744,748,746,742,743,742,741,739,739,738,739,741,739,736,735,734,735,737,742,747,753,763,764,765,769,771,772,777,779,782,789,794,800,828,2258,2390,2676,3859,3941,3576,2904,3422,3507,2073,2047,2096,2129,3402,3512,3429,3186,3547,1981,2316,1013,800,795,785,781,778,772,770,769,767,763,762,761,758,754,741,737,734,730,728,729,731,732,735,732,733,732,733,733,733,734,736,738,741,740,736,730,729,728,724,718,711,701,697,695,696,696,697,698,697,696,695,694,694,694,694,695,693,693,690,686,681,678,673,673,670,669,667,664,661,658,656,655,652,651,646,645,644,646,645,644,641,639,638,636,636,635,635,635,636,635,636,635,637,638,640,641,642,642,647,649,652,657,661,664,675,681,687,697,700,703,708,711,718,736,759,782,808,816,827,2221,2298,2306,2298,2643,3045,2431,2207,2196,2180,2159,2148,2122,2115,2104,2085,1966,680,712,664,650,638,640,637,627,619,624,621,615,614,608,610,606,604,612,618,616,618,619,624,632,641,648,685,663,666,1881,2082,2090,2098,2115,2124,2154,2172,2182,2201,2416,3283,3255,2629,2320,2284,1575,825,809,798,792,774,749,719,704,699,697,691,688,685,681,676,669,658,655,651,647,646,642,638,636,636,634,632,631,632,631,631,631,631,631,631,632,634,636,638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