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8,173,186,212,279,309,347,373,825,1247,1546,1726,1846,1814,1657,1408,591,516,506,475,452,434,422,420,403,397,374,374,386,384,394,407,423,426,434,451,476,506,519,542,553,753,1054,1473,1715,1853,1923,1925,1682,1734,1994,1795,809,284,189,158,159,174,190,199,196,200,170,135,91,80,69,67,66,66,67,68,75,140,156,168,171,162,164,154,151,148,150,152,159,166,171,176,182,195,237,335,434,524,564,569,535,546,555,561,562,563,564,567,570,574,574,571,570,575,574,574,571,565,563,563,565,561,562,563,564,567,567,566,569,568,569,570,570,575,578,578,577,573,572,571,571,570,571,574,579,585,593,605,608,610,608,609,608,611,610,613,619,632,650,653,655,665,696,721,726,731,735,901,1198,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,2009,1989,1954,1921,1665,1411,1108,956,768,636,567,554,548,543,539,534,531,528,525,528,533,524,479,452,434,422,400,384,366,359,347,339,328,318,317,330,340,352,363,370,386,403,419,436,456,501,531,532,530,526,534,539,539,542,546,549,554,558,560,564,565,647,700,833,942,1230,1516,1710,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,1858,1544,1239,885,752,720,713,695,668,659,648,633,622,616,613,610,609,610,609,611,605,600,590,583,577,571,569,570,570,570,572,573,577,579,580,575,575,572,571,572,573,573,575,572,571,571,570,573,578,573,569,572,574,574,575,573,571,570,568,568,568,562,558,556,554,547,539,516,403,262,208,193,166,162,160,156,151,142,140,134,136,143,146,147,146,143,140,137,133,119,86,75,67,65,65,65,66,68,80,114,120,136,133,138,144,157,203,240,268,281,300,317,539,517,461,435,557,758,982,1154,1055,973,776,784,683,567,542,526,494,471,448,432,428,416,408,392,393,392,391,401,420,433,438,447,469,494,526,541,563,594,614,786,778,986,1370,1466,1484,1713,1874,1917,1543,1047,2586,3184,361,266,256,240,215,192,147,128,121,120,117,88,67,65,64,64,64,66,70,75,89,96,104,106,111,116,118,122,125,126,128,130,130,131,134,139,141,143,151,162,198,290,456,516,547,560,560,567,568,580,581,585,586,588,594,595,596,593,591,588,591,591,589,587,588,584,586,585,581,581,581,578,578,583,586,587,587,588,583,578,577,577,576,575,577,581,585,591,598,607,611,616,611,611,611,612,614,618,625,638,653,663,672,694,714,717,724,730,741,795,4500,4500,4500,4500,4500,4500,4500,4500,4500,1987,1852,1516,1200,946,804,728,667,608,583,574,565,561,557,551,548,546,544,537,532,535,540,527,482,452,436,421,404,383,369,362,351,337,326,315,313,326,337,351,363,369,384,401,422,435,456,488,524,530,529,530,539,541,542,545,549,551,554,556,558,563,566,578,608,613,714,938,1215,1489,1987,4500,4500,4500,4500,4500,4500,4500,4500,4500,1872,1525,1214,877,732,710,701,679,666,652,644,625,621,617,614,611,611,611,612,611,599,592,585,578,576,574,574,575,574,576,579,581,586,585,584,580,576,578,577,579,584,581,586,588,588,588,590,591,594,591,588,587,590,592,587,583,579,575,569,563,559,547,530,499,472,392,245,187,162,158,151,137,125,125,132,141,148,161,161,165,161,157,148,140,107,90,85,86,89,78,67,66,64,63,64,65,67,79,103,125,132,177,247,264,261,236,167,2,0,0,0,592,319,275,215,228,242,269,282,303,320,454,1046,1285,1263,669,533,520,485,458,436,424,421,408,402,382,381,380,380,396,412,419,425,437,458,482,515,532,560,598,811,1180,1504,1658,1133,463,265,4500,4500,4500,4500,4500,4500,3084,733,270,4500,4500,4500,0,0,239,238,179,159,110,81,66,64,63,62,63,65,66,79,117,95,89,82,80,85,122,143,163,168,165,165,162,160,147,128,124,125,133,146,149,159,172,216,341,382,441,505,527,543,550,555,563,569,575,579,581,581,581,582,586,590,587,587,587,585,582,583,582,580,580,577,581,582,585,586,587,583,581,578,577,576,575,573,573,575,578,587,593,604,607,610,614,613,613,616,617,624,636,645,663,669,688,702,714,718,724,747,857,4500,4500,4500,4500,4500,4500,4500,4500,4500,1730,1795,1727,1543,1276,986,825,696,609,574,561,553,549,548,543,540,541,537,532,525,528,531,516,472,447,428,416,392,376,361,356,344,331,320,310,309,319,331,343,358,363,381,398,415,428,453,484,522,528,527,527,541,539,543,543,547,550,556,559,563,568,571,572,582,582,613,705,914,1198,1503,4500,4500,4500,4500,4500,4500,4500,4500,4500,1528,1242,1020,777,716,703,687,676,668,652,641,629,622,622,619,618,617,616,609,605,592,586,580,575,574,574,576,578,577,580,582,582,583,587,585,581,578,579,577,580,581,583,585,588,592,590,591,593,594,590,590,589,588,578,567,561,553,546,540,527,500,428,286,179,169,156,149,142,129,125,121,123,126,129,133,132,125,132,135,149,127,88,80,77,81,96,117,117,79,67,63,63,62,62,64,68,78,127,164,197,204,177,113,4500,4500,4500,0,240,253,0,4500,4500,4500,4500,4500,4500,394,265,274,699,1302,1643,1645,1570,1325,665,544,528,490,466,444,427,424,408,400,380,380,376,375,389,406,424,430,444,463,482,516,537,565,607,935,1261,1522,1777,1926,2001,1685,358,221,4500,4500,4500,4500,4500,4500,4500,1730,253,201,105,4500,0,0,154,162,153,115,73,66,63,62,61,62,63,64,74,101,96,83,79,85,82,79,75,79,93,100,115,126,127,125,125,124,122,119,119,124,135,145,154,157,176,258,414,480,518,533,547,564,569,582,585,590,589,590,597,597,592,592,592,591,587,584,584,581,580,580,581,581,587,585,585,584,579,578,578,577,576,574,575,575,577,584,588,600,609,610,618,622,6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