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199265,446314,65977,667570,918080,273334,910351,807839,466778,172580
198634,978008,495695,646898,584059,26037,911693,176587,600413,829726
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986278,494881,426943,436721,390426,545034,137198,795702,154579,304746
198550,484416,263530,573416,658698,21793,682327,104205,341033,706978
965482,1404,362944,772000,881143,52571,145712,127114,870548,751707
62026,404197,971202,113596,754960,510959,148378,372116,990472,898100
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657075,562589,300745,143890,681081,793278,376520,348416,444074,317489
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540997,675491,309501,635876,118923,38604,97816,885449,743587,605439
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992440,870568,394314,728380,661823,51215,449532,615670,373657,485306
315473,493033,889034,550976,359776,235248,297465,605872,664571,598406
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640141,343526,60083,942040,466379,656971,392493,418820,671325,515789
82379,334455,216916,759388,263642,387142,133978,354495,65830,81792
233378,65634,843761,9421,874738,222543,511214,213732,938767,991006
33827,163279,3535,827708,175205,154504,999637,713799,508237,645177
542326,762566,546993,960740,389586,507372,934780,703323,37820,440065
955551,906254,638920,347191,138614,752715,988119,84818,803375,11427
308718,135873,803524,713581,136561,916274,430365,317765,858035,155009
746509,143575,889488,508293,684862,408363,104110,660619,708187,493462
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568030,537570,164527,649502,951455,761355,29681,998635,463495,458173
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838039,832863,449282,628244,891260,802171,806675,929306,343515,319624
65881,783413,370958,361110,386492,549756,472430,177500,437891,525964
490909,694441,425578,595759,337212,652126,870258,53248,657882,9715
23718,7134,39043,349459,121128,871051,13758,968222,30806,515978
265555,926641,798112,316033,672716,653026,231399,853488,841623,405485
365719,765938,531910,923215,67221,46986,697975,162729,934491,774552
541157,106570,605634,854038,291633,488201,622900,466468,791569,41065
239121,746727,135573,309866,783554,687917,406065,669415,414500,326936
530640,330581,755192,947138,56316,774638,854216,108295,534224,154037
836103,797337,541684,620926,981105,581913,107768,493578,701154,734120
565680,763224,575612,368277,869229,498742,311018,949550,666460,896870
493346,874188,468688,333102,964566,361121,940823,33154,779278,885743
891916,892331,819669,12598,790890,644775,533526,508498,513803,859017
559033,153432,843691,1913,11305,92473,108133,540254,657568,86265
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960685,337165,365649,592461,614850,945969,830479,549295,449440,301557
199031,133441,22962,197763,426066,623968,921040,143512,395556,128585
917757,796565,686133,519817,552489,235434,199263,398287,314788,898928
998843,228191,247501,608309,770377,635610,157083,458621,592698,507684
596233,82864,922,495520,6888,342912,159878,918446,508242,281997
584208,553376,808251,902030,43069,37831,122956,289566,145505,350756
569705,827536,186129,720796,741078,234481,900208,287785,558595,438188
679419,654198,974800,50831,508083,645257,709085,898601,73,431443
413131,911164,13181,788220,411909,955948,843909,312951,764299,53853
397797,471303,680108,280117,381319,297305,401383,196740,345476,818957
55098,493002,302025,329521,631657,53557,218604,147974,193461,599941
560974,445458,273752,615875,344046,645630,54059,59081,89364,520175
45515,937399,559646,385616,72514,701380,732905,213948,986320,109070
209211,699942,794678,769284,996587,262499,220359,683166,856794,295634
401313,471924,756136,539270,684169,837100,910992,206103,550337,516043
68523,528759,320775,612708,865947,795569,666176,599832,899583,53290
236431,639357,32443,513552,994676,578762,475371,788027,689495,590572
873517,983944,778803,721156,305275,879309,943942,108076,224676,486477
129351,662272,294369,615039,380498,829219,97311,715736,690829,150585
631656,791552,174338,246742,576447,374968,795868,196450,510031,779336
421144,115500,435600,601880,299968,352021,891489,840755,925446,821619
815767,151406,734623,204159,164414,744119,498235,249199,971650,606984
716487,807587,321297,859847,294267,697344,985308,409337,598777,809146
808288,987519,479394,875994,419132,844236,87735,500552,171808,542430
842410,496842,790742,807850,927021,863265,352525,249059,214203,168109
736818,86765,897057,403532,830885,161238,770883,51227,522827,150275
290637,303002,403737,164903,771590,903889,585322,249083,448277,942275
226670,169556,314787,625921,211315,92234,678229,517490,856183,218182
507811,580084,127852,687431,884740,781258,851025,709355,664096,741311
448907,12940,686470,503383,103214,694639,637124,785156,872390,434746
496492,362879,1214,957325,628245,245815,239248,668744,427281,90935
986752,102746,20999,634068,916653,571754,812513,194100,714138,588937
930815,834403,608183,827134,357133,767529,613070,846376,609553,989173
460394,907301,782467,95686,466651,79032,45179,509982,395113,671179
501107,297863,890411,824083,699287,13207,724420,130958,236819,716119
836863,914518,35341,688912,815388,856545,238468,603011,609325,579952
519227,380476,848334,449243,847263,400031,156886,587877,880289,575462
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614522,227045,744368,39747,839656,849093,760409,338183,677500,385478
102692,364035,73000,332860,466139,704391,170568,473191,775579,238843
961235,425134,261509,500279,646747,467321,836053,998686,743952,931274
280848,502195,836787,817699,360154,464053,600389,985245,644477,730123
203938,195593,156269,403010,146965,783237,697174,924814,255243,116295
436097,896270,522354,992794,163627,634724,900581,117719,664617,255779
469540,277237,251964,900409,928375,921401,977198,630237,491628,788023
709564,261515,645444,38534,459959,956632,19617,281046,881386,828353
760713,639967,511340,330428,817964,385426,491913,696041,321701,680110
638661,21559,16125,458773,335695,50841,427695,594521,141715,16627
137220,659519,827246,611696,673190,622754,947214,766131,468470,164328
841446,591095,73684,510526,131605,701116,980741,609209,662431,306769
795443,133637,315684,343911,634537,374032,303728,661796,424752,807233
702717,920033,73065,588355,661628,163913,48985,108684,179399,348646
866889,893816,618254,841371,452617,55615,948676,273854,888934,728035
643635,132230,347297,976633,118138,388211,275967,186277,365023,563087
912123,582257,745163,928709,297082,689141,790537,198665,36879,546078
171504,781143,365655,997654,67643,949030,314805,97353,727017,950058
316576,631579,297043,92415,558043,951281,13845,856483,618174,929451
642332,494395,875568,606346,29030,149051,282262,227279,201154,158739
775870,894988,245022,35667,815823,395601,825112,632852,150463,379381
935254,60787,37903,278270,10844,302704,496840,89433,168245,779087
147922,89574,184542,469821,519610,378387,12105,967893,787304,821671
290890,580373,135112,542917,888187,244340,312245,319968,862415,85655
99510,557278,403825,602972,984566,867587,113982,959213,883575,875600
198671,980202,627559,291724,733653,828087,19621,12495,24462,61011
31012,746520,122210,199067,109932,177579,637146,541915,55324,973799
486447,987944,386198,40610,420689,382073,881184,297354,933629,64560
834589,521869,196786,728204,43032,708059,88204,586955,960539,11291
995560,172006,880730,883078,654249,417839,26335,746286,338688,647794
46798,881571,668014,95438,406935,315481,4884,578559,574198,140482
783360,99434,535982,214559,791844,162764,317828,370111,654854,138700
749380,15076,877187,132518,773949,240623,37906,692325,801423,255625
367798,687560,950367,281216,817099,751348,527782,761192,204121,651368
861884,143936,34862,558447,114337,244043,824089,16856,217558,124876
641487,590238,456003,60177,13611,758237,338743,987767,156467,790134
73405,497855,866612,104923,77906,95130,198435,121313,500217,694628
96470,222641,881967,283559,90820,259757,409405,123266,614602,603284
500989,667267,107541,875044,388902,790214,234989,905370,585297,461894
417933,839839,486667,356226,706733,667637,130898,416530,631867,715839
43724,293099,209248,45332,798974,499994,523861,345293,568651,807636
979000,923079,341884,894244,306648,227189,1592,558276,3653,107403
543469,762372,339111,14243,881754,534293,260597,403316,108242,667302
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67801,344894,697961,221009,392095,67956,202939,369973,327265,59487
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402250,326588,872806,816335,356645,861742,26874,441522,959671,536104
509396,183902,758820,545831,217123,465730,559607,421586,864527,848243
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316251,962996,501151,938556,473604,526588,956378,472191,102702,913358
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858531,617521,890105,253840,50349,126033,766379,233435,5546,39050
782513,72524,667945,359475,11037,819267,252523,681453,406901,761207
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583239,651871,403944,384666,571340,238434,789921,652709,331704,574317
955743,688652,614571,980332,502932,662631,335985,700057,901820,779865
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755923,583146,279641,731294,342043,868012,733701,699400,217716,253517
239464,915241,735755,611512,372321,862305,410773,618918,986479,91362
150024,819182,163614,961316,701696,35705,952644,378268,622516,225314
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250803,138363,986367,573841,802027,385605,601843,790726,433131,279588
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56648,579069,12933,352004,267986,182961,621243,908767,35705,370719
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853965,994635,908567,791887,767204,678472,867580,661318,281581,196737
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610395,796133,52253,174473,132306,645518,481644,246780,500107,83689
154969,380074,560194,674032,420352,766973,742837,511593,352974,130073
683402,136280,220521,313499,92169,257136,299120,495083,317869,500458
818778,575781,401775,368708,924885,799967,55889,10387,303700,391599
464600,877559,479772,414046,903690,545423,262419,799931,321501,583016
384817,376566,160635,799842,789525,108292,243513,700906,642279,391598
743841,130155,488648,62765,644506,741036,611525,179767,924800,994761
197145,806388,964767,662910,5015,585036,492089,657616,238891,631574
307446,258984,828589,783653,418222,599476,615553,866894,801472,700595
288868,24916,33181,978508,800337,674403,785542,770454,143597,182763
225912,781850,18587,730761,900839,37467,293021,37071,536491,623204
471133,18695,563691,482452,705719,304890,539870,208311,461994,383081
852117,650911,894624,171121,428180,702489,427049,887147,207505,949491
494815,491970,260675,694526,411667,477205,100710,45854,351261,754543
275197,774321,763342,215957,601611,140046,506905,482599,931980,277583
438586,644899,770647,258582,100973,620255,703313,12332,839059,423081
558694,59060,27132,385876,961063,967299,895803,242517,763841,664619
110064,851342,745960,817119,23302,28691,941644,594331,205963,817155
367036,511700,932738,201660,954408,326512,646595,427163,88716,495308
564657,771941,627453,41445,465669,684892,776141,806034,767420,328968
268838,761993,697040,307220,627579,779025,720493,549855,238578,73990
758834,405574,544049,406436,1228,919819,797257,22526,105809,363938
394687,133692,137689,223448,441694,382029,296580,700239,756630,931623
913105,602290,241732,450157,496083,847767,877781,419307,173829,867036
92506,860499,582075,650766,302488,784685,593001,592895,70755,943558
426424,272342,402806,296667,352799,99041,103816,689450,378724,755023
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673191,54558,967544,831294,205032,102695,252580,762290,788044,264958
68036,750333,221810,974693,377092,140110,249680,81357,537621,770305
134704,301585,887399,37873,492992,70971,78185,652707,860699,179794
306339,395351,86961,631404,443640,767268,136054,543917,563226,487110
273986,581815,989852,100932,31211,593205,741334,768582,720537,470545
775243,700982,357355,469709,846601,340622,557480,241754,445378,59959
712239,488530,716298,155553,607387,266640,259584,741892,580259,580668
348872,8152,208317,815134,989552,31262,531239,763414,836426,537485
920088,155050,165059,238183,483000,998024,681466,410284,21946,630747
493790,884163,995200,404369,651862,251831,971213,599710,661498,299355
420665,913655,747383,181330,214099,594183,119569,463578,57440,532356
40718,605626,373797,843947,527692,214019,598970,896782,998838,608996
3950,284047,933676,973725,986162,611672,478113,704099,238198,813909
989082,810116,235820,305316,934639,94885,827775,884059,166276,92625
549697,194349,247213,72152,455717,488018,704333,924790,538490,32204
652709,696274,983387,192078,860939,752750,335276,766322,391169,99270
32850,621326,794183,76677,211745,22022,914762,580359,264643,765515
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344721,62252,767196,967516,570468,888883,653823,983803,644390,428392
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284152,25985,539630,47145,85591,622156,958624,242172,721000,419896
663029,329180,142099,221118,394663,161383,694403,78003,422392,391066
947703,786631,251494,912771,746055,443163,464246,362579,341708,234539
635634,290951,725275,900946,553038,422070,125901,325589,523485,591637
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133982,143987,723949,335098,282926,243007,238664,242556,363874,737217
358070,210658,828156,216961,969865,340165,934640,549319,606742,586549
364253,638809,12907,617520,434224,993512,83586,848582,302886,309588
803640,339396,230303,811628,806388,228959,158556,844354,403459,525709
632316,857043,777594,931423,156995,164,230209,119258,708081,982710
321780,299006,40664,979858,502148,637267,517989,443556,39202,493010
261280,986995,132137,582404,406814,378937,665442,282178,322085,384393
356753,322220,222188,898526,653567,124399,184192,711049,702648,519761
511997,263157,79800,703775,218783,874777,594232,554338,462192,125101
420293,514954,147382,695235,150497,754630,766096,863324,27531,731899
889136,769951,704716,110985,496892,305071,165669,498339,977927,342491
92865,460688,545290,350840,81218,611320,935698,926563,958284,644019
940643,404594,865849,772891,865275,71821,29091,808063,455466,792565
860953,399553,272106,569987,748571,33394,489465,510233,494703,955882
20459,760240,874373,152301,84308,912695,130015,363408,305603,171206
644386,204866,239763,812526,979037,195861,876411,612313,838178,579754
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688071,416397,152065,979786,449826,340872,948250,378985,936137,853187
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854318,781901,712474,563409,552936,705806,458628,892907,207062,344530
618727,593797,187728,771514,864575,843238,695903,338469,55329,109366
882725,330544,119618,881945,289872,938569,914385,708547,334177,762901
10381,723610,875047,229740,114061,973819,938050,940845,267264,202658
467071,367496,600767,30764,314516,561128,145596,535687,230300,720515
440609,384750,12314,566904,466223,311571,620396,928211,843548,448098
689376,283273,105877,613987,266149,785182,191392,290848,510039,172266
332529,735009,926634,728910,775752,803385,911517,463213,959111,486751
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513259,116288,187804,834603,511686,395410,787730,889765,17428,991300
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731081,829720,263106,163631,398951,197388,899857,846821,330572,18716
27081,624470,80280,77348,505157,153081,138834,602298,322206,208029
23420,908022,857086,121293,356796,740818,448227,501382,40517,517030
673429,160007,861441,19188,458194,334820,718822,504781,235169,950797
473742,557151,641014,475764,865994,851369,224905,692560,497239,151934
895295,723814,620947,854544,696888,633387,70415,561923,121753,692485
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822873,843609,370466,877278,415525,2904,506411,141850,928584,357721
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49971,452352,282707,385290,683019,505058,279465,602604,410879,672276
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778798,218971,600005,401370,602854,784188,807255,739013,236964,49855
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663680,911920,735358,352543,151678,136535,962021,919182,637965,331236
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750336,701153,272402,754741,913153,460162,322373,968794,57208,965003
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110276,439618,592057,239357,277435,795705,156494,344496,428225,657482
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803535,13056,537744,616191,612465,504299,379394,875699,546914,226942
260110,879912,672694,288356,222213,218828,77759,63252,398386,412988
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603331,598199,316889,842480,311119,26885,65027,513384,926613,64487
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293868,55376,25783,551102,426022,315193,76585,779635,782292,513840
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62524,664174,588181,262319,202441,360003,320607,196982,538946,108885
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251311,565319,73093,407983,869519,672906,18894,90796,721117,339379
151395,718935,770980,86187,533435,92807,768259,565662,820490,740181
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752314,271191,797540,906919,112385,493336,433243,431213,369408,368252
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142065,957169,838505,718425,879157,389147,792097,264147,541988,617206
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79737,185633,891659,374436,689100,388949,977075,348930,370535,899502
556642,243339,844059,681349,978007,631322,314790,993284,473779,767839
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436355,897560,252161,87198,453235,374700,156514,837677,879089,810866
65070,181989,28754,687749,178145,193022,693146,486054,275830,745253
160701,650720,717289,667653,467758,351761,654802,782299,630160,122787
926088,791263,570042,126210,682117,36852,858754,985258,428817,452769
179214,529753,715190,936259,854759,741982,125751,444683,542397,10940
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980663,341980,159762,677663,625495,790572,70513,218666,628133,289217
175918,585055,371336,870877,32260,864085,382356,786122,764825,211519
755410,818399,15580,463543,658684,487764,563949,54644,323132,886980
579988,706028,373348,417965,12954,289968,533901,548864,170435,102727
767088,828877,606224,430143,521153,819684,427560,41722,709298,93476
498938,202579,633479,994300,63699,8311,67083,996757,604795,305315
258239,573494,257280,52894,605539,294705,952677,660683,152125,289221
46110,774634,393238,407091,572732,720352,578753,467070,87600,360258
952133,821299,513954,741297,635453,394266,319568,266052,442370,594684
234906,69193,894237,719690,563893,414857,534609,848940,905123,592890
690080,758081,679524,794865,847870,497414,141340,341035,356614,295430
896441,495881,365,61781,804852,991583,515811,411163,109982,882657
980110,134944,175702,736193,976199,257943,768529,550259,443566,567364
275053,351140,927733,885458,767176,638987,719287,554364,157988,578432
195088,375596,950640,932859,601621,303651,276501,885060,169432,937764
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423333,215658,892694,667069,426487,528474,784224,682682,611297,570348
954033,824907,930583,280180,494702,280344,217571,843783,542726,531217
936207,919342,191432,980930,750189,381456,453827,943044,994882,775811
593595,666889,582894,272113,152593,410564,800222,635816,653892,756663
244775,288006,434915,273559,477646,630429,514662,75871,919994,844162
241385,350121,204363,384471,145430,989329,875891,549201,159289,658292
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195269,383252,20164,533613,376501,286096,788184,951239,362385,269454
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664406,195147,469240,958224,499484,173051,281932,772421,454544,529147
807946,41728,165368,614735,869087,517196,92427,724317,447918,439305
145832,463826,701472,57358,911723,453313,439441,380555,789244,529134
464554,830519,114926,255708,684166,542733,900066,412413,32898,228314
106414,855607,45459,253810,697338,732265,678632,456972,275880,999025
490178,840263,117017,913330,355441,776196,445598,970398,359068,814891
182829,782959,318398,343338,767376,382907,233903,869115,664187,103434
303675,420155,346341,609688,542651,321933,821907,192350,692182,349557
25786,587562,240231,14877,128144,8820,618155,848466,152878,113213
165466,771163,924418,85996,17066,412181,338814,755096,990714,871042
791985,11843,720500,21968,150043,902087,37128,424289,879247,43523
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539303,110620,871824,563753,180009,432704,485030,508819,556141,453491
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336540,653713,3540,931359,758570,2072,38024,375597,326592,632240
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481,20732,424391,38332,810064,663815,994236,675530,999616,64048
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428187,626334,997207,314110,655360,859232,578777,276085,165768,866616
760419,411829,590531,743776,53527,593774,984129,369399,127143,187647
4159,49833,832326,734894,226310,687336,141466,795315,27838,654266
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631239,581524,856472,975845,663815,850912,185976,199043,942748,918460
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29513,330696,818206,525394,939352,855891,855537,905604,880218,15870
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968889,326688,352372,915421,823669,823100,775421,60151,559088,213687
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526307,257562,874980,161685,652759,458327,987985,765414,287711,40957
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