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243,230,244,231,244,230,231,232,244,245,244,232,245,232,246,233,246,232,233,234,246,247,246,234,247,234,248,235,248,234,235,236,248,249,248,236,250,237,251,238,251,237,238,239,251,252,251,239,252,239,253,240,253,239,240,241,253,254,253,241,254,241,255,242,255,241,242,243,255,256,255,243, 256,243,257,244,257,243,244,245,257,258,257,245,258,245,259,246,259,245,246,247,259,260,259,247,260,247,261,248,261,247,248,249,261,262,261,249,263,250,264,251,264,250,251,252,264,265,264,252,265,252,266,253,266,252,253,254,266,267,266,254,267,254,268,255,268,254,255,256,268,269,268,256, 269,256,270,257,270,256,257,258,270,271,270,258,271,258,272,259,272,258,259,260,272,273,272,260,273,260,274,261,274,260,261,262,274,275,274,262,276,263,277,264,277,263,264,265,277,278,277,265,278,265,279,266,279,265,266,267,279,280,279,267,280,267,281,268,281,267,268,269,281,282,281,269, 282,269,283,270,283,269,270,271,283,284,283,271,284,271,285,272,285,271,272,273,285,286,285,273,286,273,287,274,287,273,274,275,287,288,287,275,289,276,290,277,290,276,277,278,290,291,290,278,291,278,292,279,292,278,279,280,292,293,292,280,293,280,294,281,294,280,281,282,294,295,294,282, 295,282,296,283,296,282,283,284,296,297,296,284,297,284,298,285,298,284,285,286,298,299,298,286,299,286,300,287,300,286,287,288,300,301,300,288,302,289,303,290,303,289,290,291,303,304,303,291,304,291,305,292,305,291,292,293,305,306,305,293,306,293,307,294,307,293,294,295,307,308,307,295, 308,295,309,296,309,295,296,297,309,310,309,297,310,297,311,298,311,297,298,299,311,312,311,299,312,299,313,300,313,299,300,301,313,314,313,301,315,302,316,303,316,302,303,304,316,317,316,304,317,304,318,305,318,304,305,306,318,319,318,306,319,306,320,307,320,306,307,308,320,321,320,308, 321,308,322,309,322,308,309,310,322,323,322,310,323,310,324,311,324,310,311,312,324,325,324,312,325,312,326,313,326,312,313,314,326,327,326,314,315,316,328,317,329,316,316,329,328,317,318,329,319,330,318,318,330,329,319,320,330,321,331,320,320,331,330,321,322,331,323,332,322,322,332,331, 323,324,332,325,333,324,324,333,332,325,326,333,327,334,326,326,334,333,335,328,336,329,336,328,329,330,336,337,336,330,337,330,338,331,338,330,331,332,338,339,338,332,339,332,340,333,340,332,333,334,340,341,340,334,342,335,343,336,343,335,336,337,343,344,343,337,344,337,345,338,345,337, 338,339,345,346,345,339,346,339,347,340,347,339,340,341,347,348,347,341,349,342,350,343,350,342,343,344,350,351,350,344,351,344,352,345,352,344,345,346,352,353,352,346,353,346,354,347,354,346,347,348,354,355,354,348,356,349,357,350,357,349,350,351,357,358,357,351,358,351,359,352,359,351, 352,353,359,360,359,353,360,353,361,354,361,353,354,355,361,362,361,355,363,356,364,357,364,356,357,358,364,365,364,358,365,358,366,359,366,358,359,360,366,367,366,360,367,360,368,361,368,360,361,362,368,369,368,362,370,363,371,364,371,363,364,365,371,372,371,365,372,365,373,366,373,365, 366,367,373,374,373,367,374,367,375,368,375,367,368,369,375,376,375,369,377,370,378,371,378,370,371,372,378,379,378,372,379,372,380,373,380,372,373,374,380,381,380,374,381,374,382,375,382,374,375,376,382,383,382,376,384,377,385,378,385,377,378,379,385,386,385,379,386,379,387,380,387,379, 380,381,387,388,387,381,388,381,389,382,389,381,382,383,389,390,389,383,384,385,391,385,386,392,386,387,393,387,388,394,388,389,395,389,390,396,398,397,399,400,398,399,401,397,398,403,402,397,401,403,397,404,402,403,406,405,402,404,406,402,407,405,406,409,408,405,407,409,405,410,408,409, 412,411,408,410,412,408,413,411,412,415,414,411,413,415,411,416,414,415,418,417,414,416,418,414,419,417,418,421,420,417,419,421,417,422,420,421,424,423,420,422,424,420,425,423,424,427,426,423,425,427,423,428,426,427,430,429,426,428,430,426,431,429,430,433,432,429,431,433,429,434,432,433, 436,435,432,434,436,432,437,435,436,439,438,435,437,439,435,440,438,439,442,441,438,440,442,438,443,441,442,445,444,441,443,445,441,446,444,445,448,447,444,446,448,444,449,447,448,451,450,447,449,451,447,452,450,451,454,453,450,452,454,450,455,453,454,457,456,453,455,457,453,458,456,457, 460,459,456,458,460,456,461,459,460,463,462,459,461,463,459,464,462,463,466,465,462,464,466,462,467,465,466,469,468,465,467,469,465,470,468,469,471,399,472,397,472,399,397,402,472,473,472,402,473,402,474,405,474,402,405,408,474,475,474,408,475,408,476,411,476,408,411,414,476,477,476,414, 477,414,478,417,478,414,417,420,478,479,478,420,479,420,480,423,480,420,423,426,480,481,480,426,481,426,482,429,482,426,429,432,482,483,482,432,483,432,484,435,484,432,435,438,484,485,484,438,485,438,486,441,486,438,441,444,486,487,486,444,487,444,488,447,488,444,447,450,488,489,488,450, 489,450,490,453,490,450,453,456,490,491,490,456,491,456,492,459,492,456,459,462,492,493,492,462,493,462,494,465,494,462,465,468,494,495,494,468,496,471,497,472,497,471,472,473,497,498,497,473,498,473,499,474,499,473,474,475,499,500,499,475,500,475,501,476,501,475,476,477,501,502,501,477, 502,477,503,478,503,477,478,479,503,504,503,479,504,479,505,480,505,479,480,481,505,506,505,481,506,481,507,482,507,481,482,483,507,508,507,483,508,483,509,484,509,483,484,485,509,510,509,485,510,485,511,486,511,485,486,487,511,512,511,487,512,487,513,488,513,487,488,489,513,514,513,489, 514,489,515,490,515,489,490,491,515,516,515,491,516,491,517,492,517,491,492,493,517,518,517,493,518,493,519,494,519,493,494,495,519,520,519,495,521,496,522,497,522,496,497,498,522,523,522,498,523,498,524,499,524,498,499,500,524,525,524,500,525,500,526,501,526,500,501,502,526,527,526,502, 527,502,528,503,528,502,503,504,528,529,528,504,529,504,530,505,530,504,505,506,530,531,530,506,531,506,532,507,532,506,507,508,532,533,532,508,533,508,534,509,534,508,509,510,534,535,534,510,535,510,536,511,536,510,511,512,536,537,536,512,537,512,538,513,538,512,513,514,538,539,538,514, 539,514,540,515,540,514,515,516,540,541,540,516,541,516,542,517,542,516,517,518,542,543,542,518,543,518,544,519,544,518,519,520,544,545,544,520,546,521,547,522,547,521,522,523,547,548,547,523,548,523,549,524,549,523,524,525,549,550,549,525,550,525,551,526,551,525,526,527,551,552,551,527, 552,527,553,528,553,527,528,529,553,554,553,529,554,529,555,530,555,529,530,531,555,556,555,531,556,531,557,532,557,531,532,533,557,558,557,533,558,533,559,534,559,533,534,535,559,560,559,535,560,535,561,536,561,535,536,537,561,562,561,537,562,537,563,538,563,537,538,539,563,564,563,539, 564,539,565,540,565,539,540,541,565,566,565,541,566,541,567,542,567,541,542,543,567,568,567,543,568,543,569,544,569,543,544,545,569,570,569,545,571,546,572,547,572,546,547,548,572,573,572,548,573,548,574,549,574,548,549,550,574,575,574,550,575,550,576,551,576,550,551,552,576,577,576,552, 577,552,578,553,578,552,553,554,578,579,578,554,579,554,580,555,580,554,555,556,580,581,580,556,581,556,582,557,582,556,557,558,582,583,582,558,583,558,584,559,584,558,559,560,584,585,584,560,585,560,586,561,586,560,561,562,586,587,586,562,587,562,588,563,588,562,563,564,588,589,588,564, 589,564,590,565,590,564,565,566,590,591,590,566,591,566,592,567,592,566,567,568,592,593,592,568,593,568,594,569,594,568,569,570,594,595,594,570,596,571,597,572,597,571,572,573,597,598,597,573,598,573,599,574,599,573,574,575,599,600,599,575,600,575,601,576,601,575,576,577,601,602,601,577, 602,577,603,578,603,577,578,579,603,604,603,579,604,579,605,580,605,579,580,581,605,606,605,581,606,581,607,582,607,581,582,583,607,608,607,583,608,583,609,584,609,583,584,585,609,610,609,585,610,585,611,586,611,585,586,587,611,612,611,587,612,587,613,588,613,587,588,589,613,614,613,589, 614,589,615,590,615,589,590,591,615,616,615,591,616,591,617,592,617,591,592,593,617,618,617,593,618,593,619,594,619,593,594,595,619,620,619,595,596,597,621,598,622,597,597,622,621,598,599,622,600,623,599,599,623,622,600,601,623,602,624,601,601,624,623,602,603,624,604,625,603,603,625,624, 604,605,625,606,626,605,605,626,625,606,607,626,608,627,607,607,627,626,608,609,627,610,628,609,609,628,627,610,611,628,612,629,611,611,629,628,612,613,629,614,630,613,613,630,629,614,615,630,616,631,615,615,631,630,616,617,631,618,632,617,617,632,631,618,619,632,620,633,619,619,633,632, 634,621,635,622,635,621,622,623,635,636,635,623,636,623,637,624,637,623,624,625,637,638,637,625,638,625,639,626,639,625,626,627,639,640,639,627,640,627,641,628,641,627,628,629,641,642,641,629,642,629,643,630,643,629,630,631,643,644,643,631,644,631,645,632,645,631,632,633,645,646,645,633, 647,634,648,635,648,634,635,636,648,649,648,636,649,636,650,637,650,636,637,638,650,651,650,638,651,638,652,639,652,638,639,640,652,653,652,640,653,640,654,641,654,640,641,642,654,655,654,642,655,642,656,643,656,642,643,644,656,657,656,644,657,644,658,645,658,644,645,646,658,659,658,646, 660,647,661,648,661,647,648,649,661,662,661,649,662,649,663,650,663,649,650,651,663,664,663,651,664,651,665,652,665,651,652,653,665,666,665,653,666,653,667,654,667,653,654,655,667,668,667,655,668,655,669,656,669,655,656,657,669,670,669,657,670,657,671,658,671,657,658,659,671,672,671,659, 673,660,674,661,674,660,661,662,674,675,674,662,675,662,676,663,676,662,663,664,676,677,676,664,677,664,678,665,678,664,665,666,678,679,678,666,679,666,680,667,680,666,667,668,680,681,680,668,681,668,682,669,682,668,669,670,682,683,682,670,683,670,684,671,684,670,671,672,684,685,684,672, 686,673,687,674,687,673,674,675,687,688,687,675,688,675,689,676,689,675,676,677,689,690,689,677,690,677,691,678,691,677,678,679,691,692,691,679,692,679,693,680,693,679,680,681,693,694,693,681,694,681,695,682,695,681,682,683,695,696,695,683,696,683,697,684,697,683,684,685,697,698,697,685, 699,686,700,687,700,686,687,688,700,701,700,688,701,688,702,689,702,688,689,690,702,703,702,690,703,690,704,691,704,690,691,692,704,705,704,692,705,692,706,693,706,692,693,694,706,707,706,694,707,694,708,695,708,694,695,696,708,709,708,696,709,696,710,697,710,696,697,698,710,711,710,698, 712,699,713,700,713,699,700,701,713,714,713,701,714,701,715,702,715,701,702,703,715,716,715,703,716,703,717,704,717,703,704,705,717,718,717,705,718,705,719,706,719,705,706,707,719,720,719,707,720,707,721,708,721,707,708,709,721,722,721,709,722,709,723,710,723,709,710,711,723,724,723,711, 712,713,725,714,726,713,713,726,725,714,715,726,716,727,715,715,727,726,716,717,727,718,728,717,717,728,727,718,719,728,720,729,719,719,729,728,720,721,729,722,730,721,721,730,729,722,723,730,724,731,723,723,731,730,732,725,733,726,733,725,726,727,733,734,733,727,734,727,735,728,735,727, 728,729,735,736,735,729,736,729,737,730,737,729,730,731,737,738,737,731,739,732,740,733,740,732,733,734,740,741,740,734,741,734,742,735,742,734,735,736,742,743,742,736,743,736,744,737,744,736,737,738,744,745,744,738,746,739,747,740,747,739,740,741,747,748,747,741,748,741,749,742,749,741, 742,743,749,750,749,743,750,743,751,744,751,743,744,745,751,752,751,745,753,746,754,747,754,746,747,748,754,755,754,748,755,748,756,749,756,748,749,750,756,757,756,750,757,750,758,751,758,750,751,752,758,759,758,752,760,753,761,754,761,753,754,755,761,762,761,755,762,755,763,756,763,755, 756,757,763,764,763,757,764,757,765,758,765,757,758,759,765,766,765,759,767,760,768,761,768,760,761,762,768,769,768,762,769,762,770,763,770,762,763,764,770,771,770,764,771,764,772,765,772,764,765,766,772,773,772,766,774,767,775,768,775,767,768,769,775,776,775,769,776,769,777,770,777,769, 770,771,777,778,777,771,778,771,779,772,779,771,772,773,779,780,779,773,781,774,782,775,782,774,775,776,782,783,782,776,783,776,784,777,784,776,777,778,784,785,784,778,785,778,786,779,786,778,779,780,786,787,786,780,781,782,788,782,783,789,783,784,790,784,785,791,785,786,792,786,787,793, 795,794,796,797,795,796,798,794,795,800,799,794,798,800,794,801,799,800,803,802,799,801,803,799,804,802,803,806,805,802,804,806,802,807,805,806,809,808,805,807,809,805,810,808,809,812,811,808,810,812,808,813,811,812,815,814,811,813,815,811,816,814,815,818,817,814,816,818,814,819,817,818, 821,820,817,819,821,817,822,820,821,824,823,820,822,824,820,825,823,824,827,826,823,825,827,823,828,826,827,830,829,826,828,830,826,831,829,830,833,832,829,831,833,829,834,832,833,836,835,832,834,836,832,837,835,836,839,838,835,837,839,835,840,838,839,842,841,838,840,842,838,843,841,842, 845,844,841,843,845,841,846,844,845,848,847,844,846,848,844,849,847,848,851,850,847,849,851,847,852,850,851,854,853,850,852,854,850,855,853,854,857,856,853,855,857,853,858,856,857,860,859,856,858,860,856,861,859,860,863,862,859,861,863,859,864,862,863,866,865,862,864,866,862,867,865,866, 868,796,869,794,869,796,794,799,869,870,869,799,870,799,871,802,871,799,802,805,871,872,871,805,872,805,873,808,873,805,808,811,873,874,873,811,874,811,875,814,875,811,814,817,875,876,875,817,876,817,877,820,877,817,820,823,877,878,877,823,878,823,879,826,879,823,826,829,879,880,879,829, 880,829,881,832,881,829,832,835,881,882,881,835,882,835,883,838,883,835,838,841,883,884,883,841,884,841,885,844,885,841,844,847,885,886,885,847,886,847,887,850,887,847,850,853,887,888,887,853,888,853,889,856,889,853,856,859,889,890,889,859,890,859,891,862,891,859,862,865,891,892,891,865, 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97,96,98,96,99,98,101,100,102,103,101,102,105,104,106,107,106,104,109,108,110,110,111,109,113,112,114,112,115,114,117,116,118,119,117,118,121,120,122,123,122,120,125,124,126,126,127,125,129,128,130,128,131,130,133,132,134,135,133,134,137,136,138,139,138,136,141,140,142,142,143,141, 145,144,146,144,147,146,149,148,150,151,149,150,153,152,154,155,154,152,157,156,158,158,159,157,161,160,162,160,163,162,165,164,166,167,165,166,169,168,170,171,170,168,173,172,174,174,175,173,177,176,178,176,179,178,181,180,182,183,181,182,185,184,186,187,186,184,189,188,190,190,191,189, 193,192,194,192,195,194,197,196,198,199,197,198,201,200,202,203,202,200,205,204,206,206,207,205,209,208,210,208,211,210,213,212,214,215,213,214,217,216,218,219,218,216,221,220,222,222,223,221,225,224,226,224,227,226,229,228,230,231,229,230,233,232,234,235,234,232,237,236,238,238,239,237, 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529,528,530,528,531,530,533,532,534,535,533,534,537,536,538,539,538,536,541,540,542,542,543,541,545,544,546,544,547,546,549,548,550,551,549,550,553,552,554,555,554,552,557,556,558,558,559,557,561,560,562,560,563,562,565,564,566,567,565,566,569,568,570,571,570,568,573,572,574,574,575,573, 577,576,578,576,579,578,581,580,582,583,581,582,585,584,586,587,586,584,589,588,590,590,591,589,593,592,594,592,595,594,597,596,598,599,597,598,601,600,602,603,602,600,605,604,606,606,607,605,609,608,610,608,611,610,613,612,614,615,613,614,617,616,618,619,618,616,621,620,622,622,623,621, 625,624,626,624,627,626,629,628,630,631,629,630,633,632,634,635,634,632,637,636,638,638,639,637,641,640,642,640,643,642,645,644,646,647,645,646,649,648,650,651,650,648,653,652,654,654,655,653,657,656,658,656,659,658,661,660,662,663,661,662,665,664,666,667,666,664,669,668,670,670,671,669, 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