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431,230,159,128,122,119,119,118,117,117,123,135,207,320,344,350,357,361,365,368,370,374,380,384,381,375,371,368,365,364,360,356,353,351,349,346,343,341,340,338,337,337,336,335,336,336,338,340,343,348,353,357,365,375,384,394,402,419,430,447,460,480,463,78,60,59,58,58,151,573,619,627,636,641,646,650,651,654,657,663,669,674,680,682,689,698,706,715,748,800,818,2179,2182,2173,2162,2152,2144,2139,2129,2120,1094,1726,732,729,725,718,722,723,744,1059,1906,2120,2130,2136,2141,2149,2164,2176,2085,816,778,728,709,704,693,685,678,674,669,660,656,651,651,647,642,637,634,628,622,608,172,60,58,59,59,60,145,474,474,457,443,428,409,398,392,382,373,364,357,353,348,343,341,339,338,338,338,339,340,341,342,344,345,347,349,352,355,356,360,363,367,368,371,374,379,385,384,379,373,369,367,363,360,355,345,296,172,122,116,116,116,117,118,122,128,154,298,441,449,469,494,526,569,585,621,679,730,743,751,750,751,754,757,761,768,774,777,783,1438,2104,2271,2113,1914,791,1710,1909,664,657,644,632,638,618,617,601,601,597,589,588,582,580,575,575,574,572,570,566,567,565,553,521,498,475,465,447,432,417,422,444,463,487,501,527,564,574,570,572,573,574,578,577,578,583,584,589,591,599,602,614,611,625,629,644,651,653,670,688,712,897,1214,1415,2242,2287,2118,800,793,783,779,773,769,762,761,758,760,758,742,683,632,598,568,549,518,498,482,457,446,397,195,132,124,118,116,115,115,115,122,175,333,350,358,361,365,369,372,377,382,385,382,378,374,370,367,366,362,359,356,354,351,348,345,344,343,342,341,340,340,340,340,342,346,349,353,360,367,372,379,388,398,409,416,431,446,461,475,484,122,60,59,58,59,65,600,613,623,630,634,639,641,645,649,651,654,661,666,670,674,677,684,692,703,710,735,788,804,2155,2162,2151,2142,2129,2122,2114,1785,1540,872,745,717,712,707,701,707,707,1386,714,1812,2043,2108,2114,2120,2129,2142,2153,2132,810,777,720,702,697,690,680,673,669,664,657,654,650,644,643,641,637,634,628,620,611,573,214,60,58,59,59,65,365,485,471,463,445,426,415,411,398,389,380,372,367,361,355,350,348,344,342,342,343,342,343,344,345,346,348,350,353,356,358,361,364,367,369,371,375,379,385,386,380,375,370,368,364,360,350,237,152,117,114,114,115,116,120,140,237,379,425,444,462,477,487,501,521,557,573,614,676,733,755,770,771,772,777,779,783,787,795,797,803,813,1463,2037,2135,1258,1885,1001,700,683,669,659,644,645,630,629,623,616,610,601,594,591,588,587,585,580,577,576,577,574,578,572,544,518,489,479,460,443,423,427,458,479,505,522,551,580,581,575,577,578,581,588,587,590,595,593,596,603,614,616,630,624,643,643,652,663,672,684,703,1115,748,1255,1625,1531,1078,841,810,801,797,792,789,785,781,779,777,773,768,724,670,617,587,549,529,494,481,471,457,447,431,418,373,266,138,119,115,114,114,114,124,193,295,360,364,368,372,373,379,383,387,384,379,375,372,369,368,364,361,358,356,353,351,348,348,347,346,345,345,345,345,348,352,358,361,367,374,382,387,394,405,416,428,433,452,464,479,490,449,69,60,60,59,61,235,601,607,616,624,629,636,636,640,642,648,650,655,660,664,670,673,680,689,697,702,735,775,2148,2144,2138,2126,1716,2109,2102,2095,1336,854,702,704,698,697,692,687,691,693,694,697,702,1221,1928,2015,2101,2107,2119,2129,2138,1762,772,727,697,692,684,676,668,664,659,653,648,644,640,636,633,631,628,623,615,606,590,550,63,59,59,60,61,257,493,487,477,459,441,431,425,412,402,392,384,379,372,365,360,356,352,348,346,346,346,346,347,348,348,349,352,355,357,359,361,364,367,369,372,374,378,384,385,380,374,369,367,363,358,280,143,118,113,113,114,115,122,164,370,421,431,440,455,468,478,487,500,518,550,565,603,658,786,755,775,779,782,784,788,790,795,800,804,807,817,1759,2229,2212,2262,1141,1639,870,824,685,672,655,650,639,638,624,625,619,613,603,595,596,593,590,587,587,582,582,580,586,586,565,535,507,498,474,455,438,442,470,499,526,539,568,592,588,586,588,589,592,594,593,596,600,599,602,613,622,618,634,634,648,659,662,668,684,1936,1989,1300,2031,1992,2189,2247,2200,826,812,806,800,797,792,790,786,785,783,781,771,719,661,607,570,537,523,501,489,478,470,466,452,441,430,419,358,153,120,114,113,113,113,133,170,353,364,368,371,373,378,382,385,381,377,375,371,369,367,364,361,358,356,353,350,349,349,348,347,347,348,348,350,354,359,367,371,378,386,394,398,407,418,432,444,451,469,481,500,506,440,68,59,60,60,64,552,597,603,612,619,624,629,630,631,637,642,644,649,653,657,664,668,675,682,692,700,740,772,1588,2124,2121,2108,2100,2087,2079,2071,883,694,691,689,688,681,678,671,674,678,681,685,689,689,776,1331,1578,2074,2094,2106,2114,972,766,735,692,687,679,670,663,659,652,648,643,638,635,631,627,626,623,619,613,603,593,578,82,60,60,60,61,354,522,509,499,481,463,449,442,427,417,407,397,392,384,375,369,365,359,355,351,349,349,349,349,350,350,351,353,355,358,360,363,365,368,370,372,375,378,384,386,381,376,373,370,368,360,182,119,113,113,113,115,123,173,390,422,435,441,447,459,467,472,482,496,517,544,563,611,652,689,736,778,784,786,788,790,793,797,802,804,811,818,828,2193,2189,2235,2135,2116,2103,2087,1900,757,672,659,660,650,634,636,627,623,614,609,605,601,597,597,598,595,594,591,594,594,575,543,517,506,483,466,444,449,475,505,536,554,584,599,595,598,600,599,601,601,602,608,612,613,612,614,630,633,644,646,656,669,683,721,1703,2050,2031,2100,1820,2164,2189,2123,830,818,811,807,801,798,795,790,787,785,782,779,759,672,640,604,574,537,522,497,481,471,463,458,446,438,431,425,406,332,144,116,113,113,113,116,136,298,367,370,373,375,380,385,385,382,378,374,372,370,368,365,362,360,358,356,354,353,351,351,351,351,351,353,356,361,367,375,379,386,393,402,408,417,429,442,457,465,485,498,517,529,514,84,61,61,61,66,529,590,596,606,613,617,620,621,625,631,633,637,641,646,650,657,659,666,674,681,691,740,1598,2017,2099,2092,2083,2033,2011,796,837,680,680,675,673,670,666,665,652,654,661,662,663,666,669,673,2002,2030,1882,2062,2079,2088,2098,2113,897,689,676,667,661,652,650,644,637,634,629,627,623,615,614,614,610,603,592,580,524,67,62,62,62,72,523,576,539,521,501,479,464,456,442,429,419,407,402,394,385,377,373,367,361,356,353,353,352,352,353,354,354,355,357,359,361,363,366,369,370,372,375,378,383,384,381,376,373,371,367,297,135,113,112,112,113,132,162,368,409,421,425,426,433,443,455,460,470,482,502,523,540,578,616,655,684,763,780,783,784,787,789,795,800,801,806,814,823,833,2200,2192,2165,2145,1751,1989,2049,1734,690,687,675,655,653,641,643,629,627,615,614,616,608,607,607,604,601,599,598,603,591,563,532,524,500,477,455,459,493,522,552,570,598,604,602,606,605,605,606,610,611,621,621,618,629,636,637,651,652,665,670,680,2029,2018,2094,2112,2017,2157,2172,2198,1381,824,820,811,805,800,794,790,788,782,779,778,778,765,772,625,589,562,537,509,497,477,461,453,445,440,429,424,420,419,411,394,231,131,116,112,112,112,120,202,367,371,375,377,381,385,386,382,378,375,373,370,369,365,363,362,360,357,356,356,356,355,355,356,358,360,365,370,378,385,391,398,407,417,424,433,447,461,476,487,507,524,555,580,580,279,64,62,62,65,84,572,585,596,604,610,613,617,621,625,631,634,637,640,645,652,656,662,669,689,706,738,955,1640,2068,706,1378,1388,677,672,672,663,656,655,656,653,647,648,642,643,647,648,650,652,656,658,660,663,1316,1130,1742,1947,1021,1266,730,703,683,663,656,649,645,638,633,629,626,622,619,614,608,605,602,596,586,536,85,65,63,63,64,93,544,585,573,547,519,495,480,472,457,444,432,419,413,405,395,387,382,375,368,362,358,358,355,356,356,357,357,358,360,362,363,365,367,370,372,374,376,379,384,386,384,378,375,373,370,227,121,112,112,112,115,166,274,400,419,424,426,427,429,435,444,451,461,475,495,517,534,570,601,630,659,743,773,776,778,780,782,786,789,791,795,801,807,813,817,830,2020,2172,2006,2057,2119,2100,2076,1831,1133,683,665,661,647,648,635,623,622,626,617,614,617,614,607,605,604,608,607,579,550,538,513,488,469,476,507,542,574,596,614,610,613,618,617,619,620,623,626,633,632,635,647,649,658,673,679,682,1541,1682,2019,2108,2032,2142,1751,1858,1460,823,811,805,801,797,792,788,784,781,778,773,773,771,769,749,688,620,594,560,536,508,495,473,455,446,437,433,428,425,421,419,415,408,384,168,128,112,112,112,113,162,367,376,377,379,383,387,386,382,380,377,375,372,371,369,367,365,363,362,361,360,360,360,360,361,366,368,373,378,387,395,400,410,420,432,439,452,464,481,495,507,531,559,584,585,575,478,72,65,65,65,70,533,579,589,598,604,611,613,615,620,624,627,632,636,641,649,652,655,663,694,717,721,707,1134,688,681,798,662,653,652,652,650,649,647,647,640,635,634,629,630,635,640,641,642,644,647,650,651,654,660,669,670,1561,699,711,708,690,657,651,645,641,633,628,623,619,616,613,608,603,599,593,588,575,231,71,66,67,68,71,92,540,571,580,577,547,511,495,487,472,455,442,430,423,414,404,395,390,383,376,370,366,363,361,360,360,361,361,361,362,364,365,367,369,371,372,374,376,379,383,385,385,381,378,377,374,184,117,111,111,112,122,241,390,413,418,418,419,420,423,427,433,440,449,462,482,502,517,543,582,613,640,703,757,764,765,766,771,773,777,778,782,788,793,801,803,812,822,1878,2073,2164,2146,2125,2109,2096,1967,1810,707,831,672,663,649,650,649,640,639,626,628,628,623,621,622,621,624,613,579,565,537,509,485,495,528,562,601,617,630,626,630,633,633,632,634,641,647,646,649,662,655,661,678,731,1246,1214,2077,2105,2115,2125,2144,2166,2187,1143,816,804,798,791,788,782,778,774,770,766,764,760,760,759,752,710,644,601,571,543,520,495,481,459,444,435,429,427,425,423,420,419,417,416,406,220,149,112,111,111,112,148,367,378,379,380,384,386,384,382,379,377,375,373,372,370,368,366,365,363,363,362,363,363,362,365,370,373,377,384,390,400,406,415,418,305,188,145,138,179,174,165,248,248,129,116,92,77,72,70,69,68,68,219,552,582,588,594,601,603,608,612,616,619,624,628,633,640,642,648,656,684,706,699,797,710,726,1024,652,647,641,639,638,634,634,633,631,629,622,625,620,615,620,624,625,627,627,631,633,633,637,643,644,651,663,673,687,693,670,649,641,636,632,626,621,616,612,608,604,598,593,590,585,579,572,342,70,69,71,72,72,75,77,78,80,82,85,88,90,92,94,96,105,118,130,157,260,352,390,389,383,377,372,369,366,365,364,364,364,364,365,366,367,369,371,372,374,376,378,380,383,384,385,382,378,377,375,171,115,111,111,112,133,328,404,414,415,415,417,418,421,422,425,429,438,449,465,486,498,526,555,576,591,644,712,745,749,751,754,760,762,762,769,773,776,783,784,794,801,811,819,2167,2176,2154,2132,2129,2111,2093,1767,1607,886,741,673,657,658,645,651,642,638,640,635,636,634,633,632,629,599,587,549,518,496,506,537,581,623,639,637,637,637,642,642,641,647,651,654,657,670,671,681,696,1547,1059,1912,1597,954,2125,2144,2154,2177,1295,806,796,791,783,776,770,768,763,759,757,753,751,749,746,743,738,716,646,597,563,538,516,496,475,463,445,433,426,423,421,419,417,415,414,411,411,405,271,164,112,111,111,112,145,366,380,381,382,385,386,384,381,380,378,376,375,374,372,371,369,368,366,366,366,367,367,368,372,377,379,384,370,268,151,130,116,108,103,98,95,90,87,85,84,80,79,78,77,76,73,71,69,69,76,420,568,576,578,583,589,594,597,601,605,610,613,617,624,629,634,636,641,649,673,688,676,661,652,644,645,641,630,629,631,626,622,623,623,620,615,612,614,613,607,608,613,616,618,618,620,622,623,628,632,635,634,646,656,672,678,666,647,639,633,630,625,618,613,609,607,603,597,592,590,584,579,579,577,574,564,550,521,506,469,172,97,112,132,331,187,178,198,178,133,115,110,110,112,117,126,138,169,268,354,375,374,370,369,368,368,368,367,368,369,370,371,372,373,374,375,377,378,382,383,385,385,383,382,381,170,114,111,111,112,142,340,401,408,410,412,414,415,418,418,421,422,429,439,453,470,481,503,526,549,563,610,656,705,731,733,737,740,744,746,749,754,758,764,765,771,777,785,790,799,809,1597,2157,2151,1583,2015,1115,2027,1290,973,943,1007,673,672,659,663,653,653,647,643,644,647,641,643,624,609,574,543,514,529,563,613,643,651,647,652,653,651,660,663,668,668,673,681,1639,867,2018,1999,1664,1465,2118,1994,2143,2160,1494,964,800,789,780,770,767,760,755,750,746,742,737,734,728,725,721,718,708,697,648,600,561,531,512,493,476,460,450,436,424,418,416,414,412,409,407,406,405,404,398,250,174,112,111,111,112,139,375,386,387,387,387,386,384,381,381,380,378,376,376,374,373,372,371,370,371,371,371,371,358,318,252,202,161,140,145,185,237,404,427,459,475,495,522,546,565,571,569,567,565,564,565,565,567,569,572,573,576,577,576,578,581,587,590,593,596,602,606,607,614,619,623,628,630,637,644,658,664,655,640,638,629,622,620,620,619,618,615,613,611,607,604,601,604,609,603,600,597,600,603,607,609,609,610,613,614,617,619,622,629,631,646,661,659,646,635,628,624,619,611,606,601,599,596,592,587,585,581,577,575,574,575,572,572,570,568,567,564,565,566,566,568,571,570,567,545,517,493,472,463,449,429,361,290,171,150,159,182,206,292,361,370,371,371,370,370,371,372,373,374,375,376,377,378,379,382,383,385,385,386,386,384,200,114,111,111,111,138,328,392,403,404,405,406,408,411,413,414,415,420,429,439,453,463,480,500,516,528,563,604,652,701,705,709,713,716,720,724,729,734,739,742,748,753,759,764,771,781,790,799,1367,1775,2145,2130,2120,1622,1989,1380,1341,827,754,686,673,672,666,663,662,655,656,655,655,647,636,604,569,533,545,597,643,664,664,662,663,666,665,668,676,680,688,692,1535,805,2037,1019,2081,1995,2133,1944,1428,1445,797,790,784,773,764,754,748,742,739,732,727,727,722,715,709,705,703,700,696,678,659,604,559,528,507,493,474,462,446,438,424,417,412,409,408,405,403,402,401,400,399,392,259,184,113,110,111,112,139,370,389,388,388,387,386,384,382,381,380,378,378,377,377,375,375,374,374,374,365,337,297,216,178,170,171,196,253,417,435,445,457,472,487,502,523,555,572,570,569,567,566,565,564,565,565,565,567,569,571,570,570,572,575,580,584,588,591,594,598,602,605,609,615,621,627,630,636,646,659,646,627,623,614,611,611,609,608,606,605,604,603,601,596,591,592,597,595,587,594,592,591,592,597,599,599,601,603,610,610,612,611,613,627,628,644,651,645,632,624,621,615,609,603,597,595,592,588,584,582,579,574,570,565,565,568,567,564,563,561,562,561,562,563,564,566,568,570,569,551,517,493,482,468,453,442,435,422,372,324,267,223,201,219,279,334,367,375,375,376,376,377,377,378,378,379,380,381,382,383,385,386,387,387,388,201,115,111,110,111,126,325,384,395,397,398,399,399,401,402,406,408,410,415,425,435,444,458,482,496,506,529,561,599,655,676,685,688,692,694,697,703,708,715,717,724,728,735,739,745,752,762,773,778,790,994,860,2129,2131,2116,2102,2093,2088,2026,2061,1714,754,685,672,675,673,668,670,665,665,659,627,592,557,566,617,665,673,671,674,681,684,689,688,688,943,2022,2062,2086,2031,1725,2111,2126,2138,1028,962,790,781,770,759,754,745,737,728,722,719,712,708,702,699,695,689,686,682,679,673,662,635,612,569,531,505,482,465,448,437,425,419,410,405,402,400,398,396,394,394,393,392,391,383,218,140,111,110,111,113,161,383,388,387,387,386,386,383,383,382,380,380,380,380,379,378,377,377,377,374,288,219,215,256,335,394,402,414,425,437,451,457,471,488,507,526,555,569,567,565,564,562,562,561,560,559,559,561,562,564,566,565,564,566,571,575,578,581,585,588,591,596,600,605,611,616,622,625,636,652,638,623,621,614,611,607,606,603,601,595,594,593,592,588,585,582,586,588,577,564,584,583,580,578,584,588,588,587,589,595,598,599,600,602,610,616,626,631,646,637,623,616,610,604,598,592,588,585,582,579,577,573,569,565,562,561,563,562,559,558,555,556,556,557,557,559,560,562,563,565,564,546,508,495,477,464,451,444,433,420,409,400,394,361,265,218,259,339,376,377,377,378,378,378,379,379,379,380,380,381,382,383,383,383,384,384,278,123,111,110,110,115,220,347,386,389,390,391,391,392,394,397,398,401,402,407,417,422,434,452,466,476,504,531,563,624,641,652,661,664,668,673,676,681,690,693,698,704,709,713,719,727,735,746,750,761,773,788,1340,2142,2146,2134,2117,2112,2101,2094,2082,853,954,692,688,688,683,684,682,682,682,658,616,583,599,654,686,688,688,691,693,696,700,704,714,1835,1979,2101,2113,2120,2135,2141,2155,2044,1808,769,758,747,738,729,725,716,710,702,696,692,686,681,676,674,669,665,660,656,652,646,637,589,563,531,498,475,454,442,427,417,407,403,397,395,393,392,391,389,389,388,387,387,383,343,151,115,110,110,111,118,227,382,384,384,384,384,384,383,382,382,382,382,381,381,381,381,380,380,379,344,260,274,337,393,400,408,412,422,433,447,459,468,482,500,525,546,562,562,560,558,557,555,555,554,552,551,552,554,556,558,558,558,562,564,567,571,574,577,579,582,589,595,598,603,608,613,626,637,639,628,617,612,603,600,590,591,590,588,584,582,583,582,579,575,576,577,581,576,551,538,572,578,574,572,573,576,579,581,581,582,590,591,591,592,592,603,606,611,621,641,643,622,607,602,597,593,589,584,580,576,575,572,568,565,561,559,556,557,557,557,555,554,553,553,553,555,556,556,557,559,562,552,520,508,492,475,462,455,442,427,417,409,404,395,387,269,249,301,376,381,381,381,381,381,381,381,381,381,381,381,382,382,381,381,381,381,349,146,113,111,110,111,140,243,375,383,385,386,386,386,388,389,391,392,393,396,401,405,418,433,446,455,478,506,534,576,605,634,646,650,652,655,659,663,668,671,677,680,685,689,695,702,709,717,722,731,741,752,768,1666,1814,2160,2143,2140,2127,2117,2058,2099,1541,753,919,705,704,699,699,695,695,685,645,608,622,678,703,706,706,709,711,720,782,738,1974,2037,2114,2122,2134,2146,2158,2168,2180,1058,774,746,737,726,715,705,701,695,689,679,672,670,664,658,654,653,649,647,644,641,638,631,598,555,533,507,478,458,436,425,412,403,394,392,389,387,386,384,383,382,381,382,381,380,371,218,115,110,110,111,116,141,320,379,380,380,380,381,382,382,381,382,382,382,382,382,382,383,382,382,381,308,245,373,389,398,406,414,418,429,438,454,469,478,493,510,534,548,561,558,556,554,552,549,548,548,549,551,552,552,556,556,555,557,561,563,566,569,573,576,580,583,589,593,596,600,616,639,649,632,623,613,617,609,592,587,582,582,580,582,580,583,581,575,570,567,567,569,572,553,529,520,544,563,567,565,564,566,571,574,574,573,574,577,577,578,583,589,593,598,601,616,634,644,643,614,596,589,587,582,579,573,572,569,566,563,559,557,554,554,555,553,552,551,549,548,547,547,551,553,554,556,558,555,527,517,501,487,470,460,447,435,424,416,411,402,395,332,251,284,350,383,383,383,383,383,383,382,381,381,381,381,381,380,379,378,378,378,375,233,120,112,110,110,113,127,298,373,379,380,380,380,381,381,382,384,385,388,390,393,402,418,429,438,458,483,505,539,557,595,629,635,636,637,640,641,646,648,653,657,663,666,673,681,690,699,706,718,729,745,755,784,850,1465,2170,2164,2152,2141,2129,2124,1751,780,772,732,719,716,713,712,709,705,686,645,683,706,715,715,719,720,766,1872,1001,1666,2120,2129,2141,2147,2158,2171,2182,2191,2200,845,768,736,717,706,695,687,681,674,666,660,656,655,650,645,641,639,635,631,631,629,622,592,559,522,508,482,459,441,423,411,399,391,385,383,381,379,378,376,375,375,375,375,374,369,245,120,111,110,111,112,142,220,372,378,378,378,379,379,381,382,383,383,383,385,385,385,386,386,386,386,380,292,264,393,398,404,412,421,426,437,448,461,480,489,505,520,544,554,558,555,553,552,550,547,546,548,550,551,553,554,554,554,554,559,562,563,567,569,572,576,578,583,587,594,601,624,657,648,625,625,616,608,601,595,588,581,582,579,577,572,571,573,572,569,564,564,566,567,560,528,506,502,523,547,562,562,559,561,564,568,568,568,568,577,576,581,582,588,595,602,603,615,619,629,650,646,622,595,588,581,576,573,571,568,565,563,560,558,554,551,552,553,552,551,551,550,549,549,550,552,553,555,557,558,541,526,510,494,479,469,454,441,430,421,417,406,400,389,297,274,340,386,387,387,386,386,385,385,384,383,382,381,381,379,378,377,377,377,376,338,164,122,111,111,110,111,129,303,368,373,373,373,374,376,377,378,379,380,384,389,397,410,419,428,447,468,487,519,535,558,593,622,628,632,634,637,641,643,646,650,654,657,661,665,673,679,684,691,700,720,743,797,1393,1180,2171,2185,2171,2161,2151,2141,2135,1765,890,738,734,730,725,722,720,719,704,667,676,723,727,730,734,739,743,832,754,2114,2140,2155,2164,2056,2178,2194,1802,856,1691,813,747,699,695,686,680,674,670,666,662,656,651,649,645,643,640,638,635,632,629,611,588,560,536,507,491,468,445,431,417,409,398,389,381,377,375,373,372,371,370,369,368,365,360,200,115,111,111,111,112,131,262,342,376,377,378,378,378,379,382,383,384,385,385,387,388,388,389,390,390,390,376,280,292,400,404,411,419,429,434,445,456,471,490,499,512,531,554,560,558,555,553,552,552,552,552,553,553,554,554,554,554,557,559,562,563,565,567,570,573,578,581,586,598,619,630,656,640,627,622,614,607,604,593,591,582,583,578,576,570,568,568,568,566,561,558,558,559,557,535,509,493,487,509,530,55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