Input: 0.03765772 0.0042912 0.0039864276 0.003779182 0.0063921004 0.003332182 0.0035638092 0.0043196455 0.0042018 0.0036288274 0.0037141638 0.0033565639 0.0040555093 0.003364691 0.003332182 0.007863137 0.003925473 0.0038035638 0.0033403093 0.0035353638 0.0034012638 0.0033525003 0.0035678728 0.0034134546 0.0034297092 0.0036166366 0.0031615093 0.0033240546 0.0036613366 0.0035678728 0.0033443728 0.003498791 0.0058963364 0.003376882 0.0034703456 0.0033240546 0.009634882 0.0033687546 0.0033728182 0.003287482 0.0036572728 0.003632891 0.003275291 0.003287482 0.003734482 0.0033890728 0.0033240546 0.0032834182 0.0041408455 0.0044659367 0.0041124 0.0042749457 0.0046488 0.0039336 0.0038970273 0.0057419185 0.0045350185 0.0041124 0.0031127457 0.0034459638 0.0035231728 0.0033403093 0.0034500274 0.0037629274 0.003632891 0.0034500274 0.0032671639 0.0033972003 0.004307455 0.0041571003 0.003868582 0.003600382 0.0033972003 0.0035353638 0.0033728182 0.0034744092 0.003600382 0.0033159275 0.0034337728 0.0033728182 0.003701973 0.003454091 0.003454091 0.0034581546 0.0034378364 0.0036125728 0.0034500274 0.0034459638 0.003364691 0.0032956093 0.0036654002 0.0034459638 0.0033890728 0.003364691 0.003510982 0.0092082005 0.004864173 0.0041977367 0.0038848366 0.0041855457 0.005579373 0.004189609 0.0077168457 0.0032549729 0.0042221183 0.0036816548 0.0034703456 0.003287482 0.0039864276 0.0033972003 0.0034622184 0.0037385456 0.0034622184 0.003454091 0.0036369548 0.0036816548 0.0045594 0.0037548002 0.0035069184 0.0034256456 0.003510982 0.0035231728 0.0035760002 0.0032102729 0.0033565639 0.0034866002 0.0035597456 0.0032346547 0.003791373 0.003498791 0.0036816548 0.004238373 0.0037588638 0.003722291 0.0035516184 0.0036979092 0.004181482 0.005420891 0.0035191092 0.0039498545 0.0032549729 0.0056647095 0.003454091 0.0036735274 0.0033972003 0.0032996729 0.0034256456 0.0034297092 0.003376882 0.003421582 0.0032590365 0.0031371275 0.0036613366 0.0035069184 0.0035231728 0.0032712275 0.005936973 0.0032915457 0.0033687546 0.003466282 0.0033240546 0.0032712275 0.003120873 0.0036816548 0.003332182 0.0032387183 0.0032265275 0.0034256456 0.003096491 0.0032549729 0.0033403093 0.0035150456 0.0035191092 0.0032346547 0.0034459638 0.003454091 0.0034459638 0.0032590365 0.0033403093 0.0034012638 0.0032793547 0.0034622184 0.003600382 0.0038116912 0.004023 0.0034256456 0.004035191 0.003689782 0.0033890728 0.0034947274 0.0038970273 0.003141191 0.0044374913 0.004181482 0.003510982 0.0036247638 0.003937664 0.0035963184 0.004404982 0.004047382 0.003746673 0.0036938456 0.0033118639 0.0033565639 0.0033443728 0.0034134546 0.0033403093 0.0035191092 0.0038279456 0.0032509093 0.0040311273 0.0036247638 0.0034419002 0.0033890728 0.0032631 0.0035475546 0.0037710548 0.0034053274 0.0034337728 0.0033159275 0.0033850092 0.0033850092 0.003645082 0.003632891 0.0036125728 0.0033972003 0.0035394274 0.0034500274 0.003332182 0.0033281182 0.0034947274 0.003498791 0.005713473 0.0062254914 0.0035638092 0.003454091 0.0034378364 0.003376882 0.0035231728 0.0033362457 0.0034053274 0.003466282 0.003632891 0.0035475546 0.0033850092 0.0039945547 0.0040717637 0.0037141638 0.004023 0.004218055 0.0037954366 0.0033809457 0.003677591 0.0036166366 0.003957982 0.010902737 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1065.0 10.760564 11460.0 0.04930192 0.005061082 0.006980803 0.0042757415 0.0062827226 0.0042757415 0.0040139616 0.005322862 0.0059336824 0.005671902 0.0041884817 0.0047993017 0.0046247817 0.0035776615 0.0057591624 0.0046247817 0.014746946 0.02661431 0.022687608 0.02774869 0.018062828 0.016666668 0.015794067 0.056631763 0.02469459 0.015968587 0.004363002 0.0055846423 0.0060209422 0.007329843 0.005410122 0.005846422 0.0068935426 0.007940663 0.0041884817 0.004886562 0.0064572426 0.0055846423 0.0061082025 0.007155323 0.0047993017 0.0063699824 0.005148342 0.005846422 0.005671902 0.0059336824 0.0062827226 0.0042757415 0.0067190225 0.005322862 0.004886562 0.006806283 0.004363002 0.004537522 0.004537522 0.0060209422 0.0055846423 0.0041884817 0.0060209422 0.005846422 0.0034031414 0.005148342 0.0041884817 0.12600349 0.004973822 0.020331588 0.011169285 0.02547993 0.015095986 0.02303665 0.014048866 0.0072425827 0.0061954623 0.009685864 0.004712042 0.0042757415 0.010645724 0.0067190225 0.009336824 0.012827225 0.0060209422 0.0067190225 0.013961606 0.009249563 0.014834206 0.009947644 0.005148342 0.0063699824 0.0066317627 0.006980803 0.005235602 0.004886562 0.005061082 0.0062827226 0.005497382 0.005410122 5.9374104 0.0 0.0 0.0 5.0 246085.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.078589655 0.006048387 0.0046248897 0.0048355595 0.005796371 0.005111202 0.0039475965 0.004815871 0.007590017 0.0049280967 0.0045855124 0.00474696 0.0068379063 0.0051545175 0.004920221 0.0071233935 0.006958008 0.004937941 0.0053415606 0.0044693486 0.0038196195 0.0044083134 0.0031698903 0.002841088 0.0038078062 0.0028469947 0.0029237808 0.0031994234 0.0034022178 0.0030616021 0.003447502 0.0036699849 0.006879253 0.0032781786 0.0034868794 0.003016318 0.0042370213 0.0027091734 0.0026481382 0.002398091 0.0029985982 0.002398091 0.0027426442 0.003317556 0.0028548702 0.0027643018 0.0042448966 0.0022642075 0.003750709 0.0027485508 0.0028529014 0.004473286 0.0030596333 0.0031324818 0.003128544 0.0029021231 0.0033293692 0.0035538212 0.0029907227 0.004085418 0.0034829418 0.0036168252 0.0029080298 0.0037546465 0.0039613787 0.0029474073 0.0028922788 0.0033155873 0.0035065683 0.008235808 0.004847373 0.0026776714 0.0029099986 0.0025693832 0.002463064 0.0024217174 0.0027209867 0.0037802418 0.0029789093 0.0027012979 0.005812122 0.0027682397 0.0027603642 0.004894626 0.0030556957 0.0034888482 0.0037920552 0.0034534086 0.0032978673 0.004227177 0.0026402627 0.0030399445 0.0027583954 0.003477035 0.0029336254 0.0029040922 0.003366778 0.00474696 0.0036168252 0.0039475965 0.0038235572 0.0059499433 0.003986974 0.0030694776 0.0039633475 0.0048198085 0.0040558847 0.0028036793 0.0042803367 0.003236832 0.0046170144 0.00453629 0.004030289 0.0024177798 0.0046878937 0.0047351466 0.008164929 0.008304719 0.0034494707 0.0028213994 0.0030911353 0.002921812 0.0029415009 0.0025339434 0.003016318 0.0033726846 0.002827306 0.0030596333 0.004114951 0.0027485508 0.0025575699 0.0069619454 0.0034967237 0.0070446385 0.0026796402 0.0025280367 0.0034022178 0.0060720136 0.0028391192 0.0096455235 0.002524099 0.0063141854 0.002524099 0.0023921845 0.002984816 0.0022425498 0.00257529 0.002746582 0.0026402627 0.002634356 0.0024847216 0.002333118 0.0030773531 0.0025595387 0.0024532196 0.0026107295 0.002461095 0.0031561083 0.002510317 0.0021539503 0.002746582 0.0027741464 0.0024039976 0.0029198432 0.0027012979 0.0028233682 0.002587103 0.0024335308 0.0028076172 0.0024197486 0.0025733209 0.0029257496 0.002841088 0.0027032667 0.002667827 0.0026737335 0.0033018051 0.0022622386 0.0024414062 0.00257529 0.0026146674 0.0032939296 0.002494566 0.0027347687 0.0030202558 0.0024099043 0.0024709394 0.0025516632 0.0026737335 0.0027131112 0.0024512506 0.0028017105 0.0050797 0.0032388011 0.0029080298 0.0041228263 0.0035774477 0.002348869 0.0029296875 0.003221081 0.003221081 0.0028292749 0.0024217174 0.002636325 0.0031068863 0.0024807837 0.0028213994 0.002602854 0.0032545521 0.0023449312 0.002427624 0.0025831654 0.0029769405 0.0024729082 0.00271508 0.002268145 0.0029907227 0.0029828472 0.0024965347 0.0028194305 0.002541819 0.002602854 0.0025044102 0.0022327055 0.0037684287 0.002411873 0.002526068 0.002463064 0.0031246063 0.0025496944 0.0026264805 0.002443375 0.007223806 0.0029355942 0.0025477256 0.004083449 0.0038786856 0.0025733209 0.002746582 0.0027327999 0.0038314327 0.0027682397 0.0026934224 0.002953314 0.0031344506 0.002108666 0.0034258442 0.0029769405 0.0040736045 0.0025989164 0.0026737335 0.003128544 0.003603043 0.0031482328 0.0049280967 0.04887341 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018830887 0.0 5.9185604e-06 9.864268e-07 1.9728536e-06 2.4660669e-05 0.0 0.0 9.864268e-07 0.0 0.0 0.0 6.510417e-05 0.0 9.864268e-07 3.649779e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0034229008 6.806345e-05 5.819918e-05 1.9728535e-05 5.819918e-05 2.9592804e-05 8.187342e-05 3.945707e-05 8.384627e-05 2.3674242e-05 2.170139e-05 2.8606377e-05 1.9728535e-05 1.4796402e-05 5.129419e-05 1.8742108e-05 0.003118095 7.891414e-05 0.00011541193 1.5782829e-05 0.00011639836 0.00016473327 5.52399e-05 3.057923e-05 1.3809975e-05 5.9185604e-06 1.7755681e-05 7.8914145e-06 3.649779e-05 1.2823548e-05 6.411774e-05 0.00018643466 0.0029701309 6.806345e-05 0.00011442551 1.7755681e-05 0.00017262468 0.00014105903 4.0443498e-05 0.000118371216 1.5782829e-05 3.9457072e-06 1.7755681e-05 2.5647096e-05 6.609059e-05 1.0850695e-05 7.8914145e-06 0.000249566 0.0105518075 0.00039555714 0.00061355747 0.00027422665 0.00058297825 0.0010830966 0.0011807529 0.0005011048 2.4660669e-05 3.353851e-05 0.0002101089 0.00023970171 0.00018742109 7.299558e-05 3.5511363e-05 0.0021947995 0.01166351 0.0007062816 0.0007911143 0.0005701547 0.00065005524 0.0015575679 0.0026238952 0.0009173769 0.00014599116 4.0443498e-05 1.4796402e-05 1.6769254e-05 7.398201e-05 2.3674242e-05 0.00016670613 0.0022599038 0.0052823154 0.00017163825 0.00053661613 0.0002505524 0.0016473327 0.00085424556 0.005554569 0.003004656 7.00363e-05 7.1022725e-05 5.0307764e-05 6.411774e-05 9.56834e-05 6.609059e-05 6.411774e-05 0.00039851642 0.014389994 0.007265033 0.0037148832 0.0016059028 0.0017548532 0.0021849354 0.006993766 0.004102549 0.00072107796 0.0011600379 0.0021553424 0.0013208254 0.000390625 0.00025745737 0.0003827336 0.008165641 0.014783578 0.007033223 0.0025548453 0.005147175 0.0013484454 0.0011699022 0.0039792457 0.0035245027 0.0020251342 0.0015664457 0.0011827257 0.0016858033 0.0009006076 0.0007131866 0.0028142757 0.010176965 0.009982639 0.0030283302 0.001744989 0.0028201942 0.0011284723 0.00092329545 0.001171875 0.0016029435 0.0023703836 0.0010535038 0.00095584756 0.0011600379 0.0010929608 0.0009025805 0.0017075047 0.0067382813 0.015740411 0.002383207 0.0026909723 0.0028695154 0.0045059975 0.003635969 0.0024956597 0.003938802 0.008180438 0.0009953046 0.001232047 0.0015753235 0.0038214172 0.0020655775 0.0036330097 0.008923217 0.027158301 0.005924479 0.005311908 0.0058209044 0.009422349 0.009544665 0.006516335 0.010124684 0.020196103 0.002593316 0.0028734612 0.0035846748 0.008674637 0.0048739347 0.0077513414 0.02316426 0.038192473 0.03523418 0.034009036 0.03436908 0.033559225 0.03402482 0.03415108 0.03450225 0.03407118 0.034100775 0.03428326 0.033129144 0.034141216 0.033208057 0.033979442 0.034539733 2732.0 9.70388 26511.0 0.0315718 0.0033948172 0.005507148 0.0033948172 0.00396062 0.0042623817 0.0038474596 0.0048281844 0.0035834182 0.0033193768 0.00399834 0.0036588586 0.00399834 0.004752744 0.012673984 0.004111501 0.010335333 0.0078080795 0.0077703595 0.012372223 0.006714194 0.007091396 0.009015126 0.006865075 0.007845799 0.007091396 0.00584663 0.005318547 0.00984497 0.008751084 0.0069782357 0.008147561 0.0049036248 0.010750255 0.0072799968 0.012409943 0.009279167 0.0069027953 0.007694919 0.006827355 0.00588435 0.008751084 0.0030553355 0.00399834 0.006072951 0.008298442 0.006714194 0.007468598 0.0117687 0.0041869413 0.008298442 0.022292633 0.009052846 0.006865075 0.011580098 0.012598544 0.004337822 0.0039228997 0.0033948172 0.004337822 0.004149221 0.0042246613 0.0032816567 0.0050545055 0.004941345 0.032024443 0.008072121 0.022104032 0.01953906 0.05556184 0.00792124 0.01169326 0.011014296 0.035909623 0.0049036248 0.0051676664 0.026253253 0.013994191 0.03334465 0.034513976 0.018256573 0.0032062163 0.033985894 0.03145864 0.050130136 0.016710045 0.007468598 0.0069782357 0.0069405152 0.00973181 0.004715024 0.0034702576 0.0042623817 0.0036211384 0.00396062 0.0038474596 6.1039324 1.0 0.0 0.0 8.0 507904.0 524288.0 1.0 0.0 202.0 1.0 1.0 0.0 0.0 0.0 1479832000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 348160.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -348160.0 0.0 96256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.539889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.8113794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.395668 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7957926 0.0 6.4506583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11876.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36586.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -348044.0 0.0 96236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 383912.0 96236.0 413696.0 0.0 0.0 0.0 0.0 6012.0 512000.0 28.0 353184.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 380144.0 0.0 0.0 864.0 352256.0 0.0 0.0 0.0 0.0


Input: 0.2228857 0.00996792 0.0063383076 0.006772055 0.008345502 0.0039285296 0.004081168 0.00315389 0.006944409 0.0013235017 0.0038254987 0.0017368973 0.0058861165 0.0035405739 0.0011880352 0.012357347 0.00633958 0.0009183741 0.00079499144 0.00081725116 0.0031627938 0.0009641656 0.0008267911 0.00091074215 0.0034833343 0.00072948413 0.00069832045 0.0008153432 0.0019849346 0.0006213653 0.00067987666 0.00073520804 0.023531746 0.0008694026 0.00070022844 0.0013241377 0.008198587 0.001383285 0.00064553303 0.0005342342 0.0026730793 0.0011269798 0.000554586 0.0014882239 0.0013781971 0.00071612827 0.002519169 0.000739024 0.004009937 0.0012281027 0.001489496 0.0065583615 0.0019862065 0.0011854912 0.0011320678 0.0011645034 0.0031348101 0.0037777992 0.0013285896 0.0039196257 0.0014735961 0.0013514854 0.00089357037 0.0009571697 0.0028206296 0.0028950407 0.0020141902 0.0023849744 0.004348921 0.009621304 0.0030152434 0.0020084663 0.0017362613 0.0014538803 0.0006976845 0.006333856 0.0023697105 0.0043775407 0.0017089136 0.0011473317 0.0070964117 0.0023945142 0.002047898 0.0041199634 0.0031119145 0.004662466 0.0034858785 0.003239749 0.0013387656 0.0014926759 0.0009934213 0.001481228 0.0015066677 0.0035621976 0.0021591967 0.0021108612 0.0009864253 0.010766728 0.002305475 0.006129702 0.0077063288 0.01999944 0.0070137326 0.002414866 0.006935505 0.010967066 0.005008446 0.001483772 0.006851554 0.0036073532 0.009857894 0.010882478 0.0053506102 0.00088275847 0.01096961 0.009607312 0.021112429 0.011606875 0.0026323756 0.0027366786 0.0025153528 0.0029300204 0.0007771836 0.000647441 0.0012230148 0.0026113878 0.00083124306 0.0012020271 0.0029211165 0.0017209974 0.00081025524 0.009361183 0.0044907476 0.010759732 0.00082106714 0.0008579547 0.002400238 0.013558738 0.0015511872 0.031274326 0.00084841484 0.008028141 0.00043819926 0.0004540991 0.0013190497 0.00034725227 0.00035806414 0.000369512 0.00080198736 0.0007797276 0.0003428003 0.00035488416 0.00069068855 0.00041339555 0.0003358044 0.00037905193 0.0007784556 0.00060482946 0.00034661626 0.0003606081 0.00091964606 0.002038358 0.00032117654 0.00046427498 0.00078608753 0.00067796867 0.00034725227 0.00034979623 0.00092282606 0.00039749572 0.0003542482 0.0005965616 0.00078990345 0.00035552017 0.00036188008 0.00037841592 0.001109172 0.0004922587 0.00037650793 0.00041148756 0.0007905395 0.0007924475 0.001387737 0.002594216 0.002030726 0.00074919994 0.00091201416 0.00056857785 0.00078354357 0.0006747887 0.0008897544 0.0006563449 0.009160209 0.0038159587 0.0034082872 0.002697883 0.0018189404 0.00073648005 0.0022475997 0.002891861 0.0026482753 0.002139481 0.0009622576 0.0009164661 0.018776426 0.0006805127 0.0013413095 0.0010080491 0.0021134051 0.0012808902 0.0018984395 0.0009876974 0.0013152338 0.00035997212 0.00090311025 0.0008744906 0.001854556 0.00084968685 0.000651893 0.0014487924 0.0012853422 0.00063726516 0.0006029215 0.00055903796 0.002397058 0.00081152725 0.0007212162 0.00050561456 0.0016872898 0.0014996718 0.00061691337 0.00058066176 0.010891383 0.0044010724 0.0006665208 0.004074808 0.0039457013 0.0004458312 0.0007008644 0.0006639768 0.003517678 0.00097052555 0.00072884816 0.00085159484 0.0021579247 0.00087003864 0.0034222791 0.002119129 0.004433508 0.0023576266 0.0024810093 0.0027646623 0.0050796773 0.0021757325 0.0038706542 0.03553421 0.005212259 3.183059e-07 0.0 0.0 9.549177e-07 0.0 0.0 0.0 3.183059e-07 0.0 0.0 9.549177e-07 0.0 0.0 3.183059e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001176777 1.9098354e-06 3.7560098e-05 9.549177e-07 7.448358e-05 3.183059e-07 0.0 6.366118e-07 9.549177e-07 6.366118e-07 0.0 0.0 0.0 3.183059e-07 0.0 9.230871e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053157087 2.2281413e-06 8.594259e-06 1.3050542e-05 1.400546e-05 5.729506e-06 4.519944e-05 2.1326496e-05 3.501365e-06 0.0 1.2732236e-06 2.2281413e-06 6.366118e-07 6.366118e-07 1.2732236e-06 6.366118e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012405972 9.1353795e-05 0.001655509 2.6101085e-05 0.00011777318 0.00017602317 0.0057444666 0.0024811944 2.0689884e-05 1.241393e-05 2.0371577e-05 1.5278683e-05 1.1777318e-05 9.230871e-06 1.3368848e-05 1.4642072e-05 0.13406949 0.000114590126 0.019493053 0.00034663512 0.0057049966 0.0053583616 0.07521855 0.038310025 0.00018748218 0.00017124857 0.00013177864 0.00010663248 0.00010567756 9.517346e-05 8.021309e-05 0.0001671106 0.0063769403 9.517346e-05 0.0013317919 0.00033517613 0.00090685353 0.0008339615 0.004874855 0.0028714375 4.9974027e-05 3.2148895e-05 3.946993e-05 3.4058732e-05 9.740161e-05 3.7560098e-05 4.4562825e-05 0.0002915682 0.009351191 0.00042462008 0.0017436797 0.0007881254 0.0010726909 0.0007448358 0.0040338906 0.0026505333 0.00032244387 0.00019384829 0.00020116933 0.00019480321 0.00028743022 0.00021803954 0.000286157 0.0016064899 0.0066809226 0.00086579204 0.0012369368 0.0007760298 0.00071968965 0.00061910495 0.0019623558 0.0011494026 0.00044817472 0.00014610241 0.00015915294 0.0001511953 0.0005057881 0.00015819803 0.00020307917 0.0005153373 0.011937426 0.0013305186 0.0013136484 0.006620763 0.0012016047 0.0010481813 0.0013690337 0.0011764586 0.0009402756 0.0009230871 0.0010125311 0.0009644669 0.0010376773 0.0009514163 0.00092531525 0.0011459013 0.00512377 0.0013276539 0.00051088096 0.0013244709 0.00083746284 0.00063279213 0.0006121022 0.0005509875 0.0017624598 0.00058090826 0.00032276218 0.00078971696 0.00084064587 0.00052234 0.00048700802 0.002026972 0.04575934 0.006864585 0.0069775837 0.008387361 0.013450334 0.011840343 0.005936723 0.009557453 0.035273705 0.0022055416 0.0024191248 0.004673049 0.019166471 0.0052495007 0.011099963 0.026914673 0.061499882 0.012021459 0.012823908 0.015581074 0.023610659 0.022270909 0.011778591 0.017607091 0.0501214 0.0030796095 0.0045062564 0.007078805 0.03202221 0.009157024 0.020271948 0.039463565 0.0020839488 0.0013171498 0.0012404381 0.0013483438 0.0012331171 0.0012773615 0.0013598028 0.0012843643 0.0012197482 0.0012152919 0.0012270693 0.0011949204 0.0012022414 0.0012121089 0.0012114722 0.0012331171 6099.0 16.315626 99509.0 0.03835834 0.0016480922 0.0018289803 0.0006230592 0.008541941 0.007094836 0.0010049342 0.00058286183 0.006552171 0.002964556 0.001587796 0.001205921 0.0027434705 0.0022812006 0.0028640626 0.0014069079 0.007758092 0.004381513 0.0041302796 0.005225658 0.00489403 0.0030349013 0.004492056 0.0037986513 0.005838668 0.006612467 0.006552171 0.0048839804 0.0039996384 0.0046226974 0.0030248521 0.0024419902 0.001879227 0.008702731 0.0030650494 0.010029243 0.010320675 0.008521842 0.0060899016 0.003085148 0.0031152961 0.0072355266 0.00091449014 0.009858405 0.008602237 0.0044418094 0.008260559 0.004110181 0.015797567 0.0069340463 0.016611563 0.019003306 0.009577023 0.004260921 0.006401431 0.007687747 0.0039192433 0.0016480922 0.0064717764 0.0015174507 0.0017686842 0.00092453946 0.0018993256 0.005074918 0.0014772533 0.042388126 0.007848537 0.024319408 0.020983027 0.07780201 0.012551628 0.0101699345 0.014149474 0.040689785 0.007315921 0.005748224 0.03762474 0.014873027 0.03710217 0.0412626 0.01834005 0.0019194244 0.045794852 0.03160518 0.07337025 0.019063603 0.0070244903 0.011184918 0.009667467 0.011144721 0.0031152961 0.001025033 0.0019294737 0.0012260198 0.0011858224 0.0013868093 5.7111244 2.0 10.0 0.0 6.0 1572344.0 1585152.0 1.0 2316.0 0.0 1.0 1.0 1.0 0.0 0.0 1540437100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 1090560.0 1024.0 4096.0 7.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -19968.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 -1090048.0 0.0 424960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7179556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8017726 0.0 0.0 0.0 0.0 0.0 -2.773949 0.0 -0.24611716 0.0 0.0 0.0 0.0 0.0 0.0 -6.832038 0.0 3.3364298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19596.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 419.0 0.0 0.0 0.0 0.0 0.0 -16504.0 0.0 -8920.0 0.0 0.0 0.0 0.0 0.0 0.0 -1089656.0 0.0 424704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 -2.0 0.0 0.0 -5.0 7.0 3.0 7.0 -6.0 0.0 -2.0 -1.0 3.0 -1.0 -4.0 1.0 7.0 1.0 4.0 7.0 5.0 -11.0 0.0 -8.0 -11.0 1.0 0.0 -5.0 5.0 3.0 1.0 -4.0 -1.0 -2.0 -4.0 5.0 6.0 -9.0 7.0 -3.0 6.0 -6.0 -6.0 1.0 1.0 -10.0 2.0 8.0 -10.0 -12.0 1.0 -6.0 -4.0 0.0 4.0 5.0 -1.0 -2.0 4.0 7.0 -7.0 -7.0 -2.0 -1.0 5.0 -5.0 -4.0 -3.0 -4.0 0.0 8.0 -10.0 5.0 -2.0 -1.0 4.0 2.0 4.0 -4.0 -4.0 -4.0 6.0 -2.0 2.0 -9.0 0.0 -6.0 6.0 -3.0 -1.0 -1.0 3.0 2.0 4.0 3.0 0.0 2.0 -1.0 -2.0 1.0 -2.0 10.0 3.0 0.0 1.0 -2.0 -1.0 2.0 2.0 4.0 3.0 3.0 8.0 5.0 -3.0 -7.0 1.0 -1.0 8.0 9.0 0.0 -5.0 4.0 7.0 -6.0 -2.0 -1.0 -7.0 73112.0 1020640.0 0.0 0.0 424704.0 1138688.0 0.0 0.0 22520.0 1549824.0 19596.0 1564672.0 56.0 29872.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 5712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.056588303 0.008295992 0.006166164 0.005649215 0.005754673 0.0049627074 0.004197623 0.0054217577 0.005047487 0.0056213 0.003748912 0.0044602333 0.004948233 0.0031750987 0.0043268604 0.0046359957 0.0050412836 0.0037592507 0.0049409955 0.004162471 0.0043640807 0.0031750987 0.0041056066 0.0038357591 0.005083673 0.0033529291 0.0031668276 0.002931099 0.004150064 0.003433573 0.003787166 0.0037944033 0.006174435 0.0038202507 0.0034883698 0.0030200141 0.0048841313 0.0041583353 0.0038419627 0.0037230644 0.0047321483 0.0038957254 0.003335353 0.0031037598 0.0043651145 0.0037137594 0.0037251322 0.003584522 0.005529283 0.003955691 0.0030944548 0.0028969804 0.0036786068 0.003083082 0.002691235 0.0028690652 0.004169708 0.0033105393 0.0035121494 0.0033518951 0.004007386 0.0032257598 0.0035007764 0.0034614883 0.006600401 0.0039639627 0.0036258781 0.0032247258 0.0041645383 0.0032185225 0.0035338611 0.0030675735 0.0049978597 0.003777861 0.003706522 0.003585556 0.0041386914 0.0031254718 0.0035607426 0.0034625223 0.005165351 0.0036227764 0.0036486238 0.0033301834 0.003927776 0.0033870477 0.0033632682 0.003535929 0.0046504703 0.0036496576 0.0038068101 0.00350698 0.0041045723 0.0033808444 0.0036889457 0.0037830304 0.005910791 0.0036320814 0.0033405223 0.0029579804 0.004015657 0.0030499971 0.003274353 0.0030303532 0.0049730465 0.003161658 0.003192675 0.0030510311 0.0035741832 0.002850455 0.0030975565 0.0031906073 0.0045088264 0.0032857258 0.0032257598 0.0031409801 0.0038822845 0.0033291494 0.0032888276 0.003627946 0.0046287584 0.0032929631 0.0034728611 0.0031750987 0.0040363353 0.0031968106 0.003463556 0.00334259 0.008633043 0.0045987754 0.0040115216 0.00352559 0.004363047 0.0034480477 0.003023116 0.0033922172 0.0045491485 0.0038367931 0.0029662515 0.0031771667 0.003728234 0.0027977263 0.0028442517 0.0029827938 0.0052242833 0.0032102512 0.0034914713 0.003023116 0.0036724035 0.0031864718 0.0033095055 0.0032691834 0.0045439787 0.0028390822 0.0030437938 0.0026953705 0.0035111154 0.0032309291 0.00298176 0.003153387 0.005013368 0.003415997 0.0032712512 0.00279876 0.0037737254 0.0030158786 0.0030551667 0.0031864718 0.0041355896 0.0029983022 0.003123404 0.0030148446 0.0036506916 0.0028380482 0.0029176583 0.003040692 0.004663911 0.0031172005 0.0038409287 0.0028494212 0.0035607426 0.003161658 0.0029827938 0.0031285733 0.0042586233 0.003153387 0.003335353 0.0031792345 0.0036506916 0.0031957768 0.0033291494 0.00334259 0.006709994 0.0040621827 0.003726166 0.0033374208 0.0041242167 0.0032588444 0.003303302 0.0032319631 0.0043268604 0.0033322512 0.0031213362 0.0030727428 0.003637251 0.0029827938 0.0030779124 0.0027977263 0.004257589 0.0032784885 0.003101692 0.0030034718 0.0037137594 0.003022082 0.0029362685 0.0029466075 0.0039712 0.0031192682 0.0027336245 0.0026374722 0.003536963 0.0029486753 0.0035896916 0.0028773365 0.004945131 0.0032495393 0.003395319 0.0029703872 0.0038109457 0.0030727428 0.003203014 0.002910421 0.0044488604 0.0054538087 0.003476997 0.0031306413 0.0037954373 0.003093421 0.003243336 0.0031792345 0.0046060127 0.003326048 0.0034139291 0.003040692 0.0037406406 0.0030965225 0.0033229461 0.0032423022 0.00435064 0.0030489634 0.003182336 0.0028587263 0.0040166914 0.003102726 0.0042255386 0.0045077926 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.004575242 0.0002920367 0.0002733961 0.00026614693 0.00030549942 0.00023818598 0.000329318 0.00030394603 0.00032569343 0.0003515832 0.00032465783 0.0003531366 0.0005188312 0.00015740986 0.0001879598 0.0007409655 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.099125236 0.062024146 0.062453914 0.05532853 0.060622472 0.059531994 0.054972287 0.054465365 0.060471795 0.05317295 0.052158587 0.052960653 0.056438684 0.050590184 0.056680497 0.053859543 4039.0 5.702649 23033.0 0.01723614 0.01055008 0.009464681 0.008596362 0.01345895 0.012460383 0.01185256 0.011505231 0.012503799 0.009768593 0.008552946 0.008813442 0.013806278 0.010506664 0.011722311 0.00989884 0.016671732 0.0119393915 0.00872661 0.0075109624 0.00989884 0.008596362 0.007945122 0.0083792815 0.010202752 0.008466114 0.009594929 0.008900274 0.011418399 0.008987105 0.009594929 0.009334433 0.018191291 0.010810576 0.010376416 0.009030522 0.010853992 0.008813442 0.0107237445 0.00829245 0.014240437 0.0116354795 0.009725177 0.008987105 0.011505231 0.009334433 0.0116354795 0.009551513 0.014718013 0.009551513 0.009942257 0.009073937 0.012113055 0.009421265 0.009508097 0.009725177 0.01367603 0.009291017 0.01055008 0.009508097 0.011114488 0.009768593 0.010376416 0.010636913 0.017887378 0.01098424 0.009638345 0.008162202 0.01302479 0.008205618 0.009334433 0.00829245 0.015369253 0.009247601 0.008900274 0.0086831935 0.011418399 0.008162202 0.010072505 0.007814874 0.013111622 0.007988539 0.0086831935 0.008770025 0.011418399 0.009377849 0.0083792815 0.007988539 0.011114488 0.008813442 0.011895975 0.00850953 0.011374984 0.008987105 0.010072505 0.008770025 6.5548606 0.0 0.0 0.0 14.0 967214.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.10831254 0.0048918547 0.0033682364 0.003901729 0.003540039 0.0032552083 0.0042136866 0.0045889397 0.0031873914 0.002983941 0.0031783492 0.0030472367 0.003910771 0.0029929832 0.0032145183 0.0048918547 0.0038610387 0.0036756727 0.003273293 0.0030834058 0.0033275464 0.004127785 0.0032371238 0.0028663918 0.0032371238 0.003092448 0.0035264757 0.0031060113 0.0032280816 0.0034722222 0.0034044054 0.0040690103 0.0035490813 0.0028663918 0.0031783492 0.0037389684 0.003684715 0.0036078559 0.0033094618 0.003277814 0.0030698422 0.0033591941 0.0036982785 0.0035309969 0.0033365886 0.0031828703 0.0030246312 0.0029387297 0.0030381945 0.0031421802 0.0031105324 0.003164786 0.0031783492 0.0034993489 0.002952293 0.002694589 0.003164786 0.0030155887 0.0033365886 0.0031105324 0.003277814 0.0034360532 0.0035581235 0.0038881656 0.005710178 0.0041775173 0.002879955 0.0033998843 0.003277814 0.003951461 0.0031964337 0.0037615742 0.0035174335 0.0036756727 0.0035897715 0.0032506872 0.0035174335 0.0041865595 0.0031467015 0.004023799 0.004114222 0.0038067852 0.0038926867 0.0037480106 0.0036033348 0.003874602 0.0038655598 0.0035536024 0.0033094618 0.0037434895 0.0033049406 0.0032958984 0.0031150535 0.0032235605 0.0030472367 0.0046115452 0.0030472367 0.0040961374 0.003616898 0.003535518 0.003725405 0.0041820384 0.0035264757 0.0035264757 0.0037525317 0.004118743 0.0036259403 0.003164786 0.0035174335 0.0036982785 0.0036033348 0.0045844186 0.0033998843 0.0032868562 0.0038926867 0.0032280816 0.004050926 0.0036033348 0.0036259403 0.003205476 0.0032642505 0.0033365886 0.0035219546 0.0028573496 0.0031014902 0.0038158277 0.0030608 0.0044533056 0.00346318 0.0040373625 0.002879955 0.0035264757 0.0028618707 0.0033908421 0.0030698422 0.003169307 0.0031964337 0.003684715 0.0034767434 0.004168475 0.0031150535 0.004222729 0.003612377 0.0039831093 0.003273293 0.0032823351 0.003684715 0.003241645 0.0030517578 0.0035988137 0.0035942926 0.0029929832 0.0030336734 0.0033320675 0.0032687718 0.0028889973 0.002803096 0.0030336734 0.0035264757 0.0039921515 0.0033682364 0.0031873914 0.002907082 0.0034812645 0.0036801938 0.003571687 0.003427011 0.0036801938 0.0035445602 0.0035445602 0.0036395038 0.0036666305 0.0033004195 0.0035219546 0.0032823351 0.003612377 0.0029025609 0.0032958984 0.0032552083 0.0031195746 0.0036078559 0.0033817997 0.0033637153 0.0038067852 0.0033772786 0.0034224899 0.003540039 0.0034044054 0.003273293 0.00350387 0.0029929832 0.0036756727 0.003205476 0.0035581235 0.0029206453 0.003612377 0.0032190394 0.0029568141 0.0034360532 0.00422725 0.0034993489 0.0033637153 0.0033320675 0.0034857856 0.0032642505 0.0030336734 0.003056279 0.0035129124 0.0031195746 0.0032868562 0.0037660953 0.0036756727 0.003684715 0.0033094618 0.0035129124 0.0033591941 0.0031421802 0.0030653211 0.0034134476 0.0035219546 0.003725405 0.003241645 0.0032235605 0.003246166 0.0030517578 0.003096969 0.0029748988 0.0034405743 0.0034134476 0.003571687 0.0030517578 0.0035897715 0.0031964337 0.003969546 0.0035762081 0.0035490813 0.0035988137 0.0037841797 0.0035581235 0.003133138 0.003241645 0.0033637153 0.0036621094 0.0033908421 0.003350152 0.003540039 0.0036395038 0.0037887008 0.0030608 0.0039876304 0.0035264757 0.003829391 0.0038836445 0.003915292 0.004421658 0.0096797235 0.046511628 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008209938 3.8608287e-05 4.9963663e-05 2.7252907e-05 0.00012490916 0.00016578852 0.00033839027 0.00019758358 3.4066135e-05 1.1355378e-05 2.043968e-05 2.043968e-05 4.087936e-05 4.542151e-06 6.8132267e-06 1.1355378e-05 0.0038267623 1.3626453e-05 1.5897529e-05 6.3590116e-05 0.000115824856 0.0001294513 9.31141e-05 9.084302e-05 6.3590116e-05 0.00014534884 7.267442e-05 1.3626453e-05 0.0 0.0 0.0 6.8132267e-06 0.007360556 9.31141e-05 0.0001021984 0.00019758358 0.00028161338 0.00023619186 0.00037699853 0.00017260175 0.000106740554 0.0001771439 9.31141e-05 3.1795058e-05 6.8132267e-06 6.8132267e-06 4.542151e-06 5.4505814e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014396348 0.00065406977 0.00044285975 0.0003633721 0.0013626453 0.0009220567 0.001744186 0.00091751455 0.00050644984 0.0003179506 0.00018395712 0.0001953125 0.00025436046 0.00015216206 0.00022710756 0.0006154615 0.005530069 0.0001294513 0.00018168605 0.00015670422 0.00042014898 0.0003156795 0.0005859375 0.00028161338 0.0003247638 5.4505814e-05 9.9927325e-05 0.00018168605 0.00040425145 0.00015216206 0.00014534884 0.00033839027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008110011 0.00043150436 0.00076535245 0.00043150436 0.0015307049 0.0007789789 0.0023005996 0.0013785429 0.00033839027 0.00016578852 0.0003065952 0.0003520167 0.000270258 0.00039289607 0.00037018533 0.00068132265 0.0037041244 0.0005473292 0.00042014898 0.00022029433 0.00082212937 0.00030205306 0.0009674782 0.00046784157 0.00017260175 0.00013172238 0.00014761991 0.00020212572 0.0001953125 0.0001862282 0.00018849927 0.0006268169 0.0062136627 0.0021779614 0.0006245458 0.00058820855 0.0029682957 0.0019690224 0.0015397893 0.00094249635 0.0032726198 0.0007244731 0.0005427871 0.00046329942 0.0009493096 0.00065406977 0.0005268895 0.003749546 0.0030545967 0.0005564135 0.0004474019 0.0005087209 0.00051553414 0.0005586846 0.00057003996 0.0005087209 0.0013490189 0.00028388444 0.0004928234 0.0006427144 0.0014671148 0.00084711117 0.0008175872 0.0013331213 0.05310229 0.050161246 0.05050191 0.04924146 0.051342204 0.05297965 0.051015172 0.05096521 0.04991597 0.05081986 0.05369277 0.05205078 0.050304323 0.052146167 0.052516352 0.057151616 1043.0 6.842761 7137.0 0.012049881 0.0071458598 0.005604596 0.008547009 0.008126664 0.0072859745 0.009247583 0.0072859745 0.00686563 0.008126664 0.010088272 0.0072859745 0.0072859745 0.0072859745 0.0065854 0.0061650556 0.005184251 0.00686563 0.007706319 0.010648732 0.005324366 0.010228387 0.008547009 0.005324366 0.005604596 0.005604596 0.006725515 0.0071458598 0.007706319 0.008547009 0.0072859745 0.006445285 0.007846434 0.011069077 0.0075662043 0.011769651 0.009948158 0.010508617 0.008827238 0.008547009 0.0058848257 0.012330111 0.0063051702 0.010928961 0.012330111 0.0121899955 0.009667927 0.011069077 0.0071458598 0.008967353 0.008967353 0.017374247 0.010368502 0.009948158 0.014151604 0.008406893 0.005604596 0.010788847 0.0057447106 0.007706319 0.0047639064 0.008126664 0.0047639064 0.032226425 0.0071458598 0.031946197 0.01863528 0.010648732 0.016953902 0.029704358 0.011909766 0.011769651 0.009107468 0.019055625 0.011489421 0.008406893 0.017234132 0.0142917195 0.015272523 0.019616086 0.009667927 0.0074260896 0.024940452 0.0130306855 0.024379991 0.010508617 0.022278268 0.010088272 0.007846434 0.010648732 0.0072859745 0.0057447106 0.008547009 0.007846434 0.0061650556 0.008687124 6.420729 1.0 0.0 0.0 3.0 221184.0 217088.0 0.0 0.0 62.0 0.0 1.0 0.0 0.0 0.0 1039397200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 94208.0 4096.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94208.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.748653 0.0 7.777715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92540.0 0.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 95268.0 2992.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 648.0 300.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.32033613 0.013348979 0.0061271423 0.0054183467 0.009962512 0.0027406754 0.002984816 0.0028666835 0.0107736895 0.0018507434 0.002299647 0.0012758316 0.006717805 0.001953125 0.0014884702 0.0055128527 0.006938319 0.0021893901 0.0012758316 0.00067729334 0.0034258442 0.0036699849 0.0007875504 0.0007402974 0.0027170489 0.0008111769 0.0007639239 0.0007087954 0.001968876 0.0008190524 0.000889932 0.0010789441 0.007143082 0.00085055444 0.00083480345 0.0010631931 0.01140373 0.0012522051 0.0004410282 0.0010868196 0.0017168599 0.0007087954 0.0005512853 0.0015042212 0.0017483619 0.0011025706 0.0010395666 0.0010395666 0.0042055193 0.0018664944 0.0014097153 0.008080267 0.0014727192 0.0014727192 0.001157699 0.0009608115 0.0020870087 0.0018743699 0.0011340725 0.0043551535 0.0014175908 0.0011970766 0.0007875504 0.0012049521 0.005260837 0.0146799395 0.00084267894 0.001811366 0.005323841 0.007717994 0.0033707158 0.0016932334 0.0034730972 0.0013624622 0.0012915827 0.0010080645 0.0037172379 0.004906439 0.0016381048 0.000889932 0.008481918 0.00320533 0.003221081 0.0039771297 0.0023075226 0.0026934224 0.005142704 0.0042212703 0.0013624622 0.0042448966 0.0007875504 0.0019610005 0.0014490928 0.0026146674 0.0037723663 0.0030793222 0.001157699 0.0037408643 0.00086630543 0.002622543 0.002858808 0.0074581024 0.0048198085 0.001141948 0.0042606476 0.0036542339 0.004418158 0.0011025706 0.002969065 0.0019452495 0.0041188886 0.0039456277 0.0034494707 0.00070091983 0.004559917 0.0034258442 0.013411983 0.010624055 0.0015593498 0.0014569683 0.0014254663 0.0013073337 0.00051190774 0.00042527722 0.002047631 0.0027327999 0.0011813256 0.0017011089 0.004615045 0.0019925025 0.00066941784 0.012600807 0.0031974546 0.0075211064 0.0007875504 0.00048040575 0.0022130166 0.009450605 0.0023311493 0.02835969 0.0013309602 0.010064894 0.0006142893 0.0007639239 0.0013782132 0.0006379158 0.00048040575 0.0005670363 0.001110446 0.0008190524 0.0004410282 0.00032289568 0.0008741809 0.00289031 0.00026776714 0.00026776714 0.00066154235 0.00033077117 0.0003937752 0.00031502015 0.0008190524 0.0015751008 0.00042527722 0.0007639239 0.0008033014 0.00067729334 0.00094506046 0.0005827873 0.0013073337 0.00032289568 0.00037802418 0.0007166709 0.00085842994 0.0007245464 0.0005355343 0.00037802418 0.00091355847 0.00028351814 0.00048040575 0.00033864667 0.00085842994 0.0003858997 0.000905683 0.00057491177 0.0015435988 0.0007954259 0.0005197833 0.0004410282 0.00065366685 0.00037802418 0.0008741809 0.00057491177 0.008348035 0.003268334 0.0026619204 0.0051033264 0.003622732 0.00093718496 0.002906061 0.005859375 0.0018192414 0.002252394 0.0012522051 0.0007324219 0.015727382 0.0015042212 0.0017011089 0.000905683 0.0014254663 0.0010474421 0.0014884702 0.0018271169 0.0007954259 0.00085842994 0.00094506046 0.00066154235 0.0014333418 0.0005985383 0.0007166709 0.0009765625 0.000889932 0.00050403224 0.0003543977 0.0004016507 0.0022445186 0.0007166709 0.00042527722 0.00047253023 0.0017483619 0.00050403224 0.0007796749 0.0003622732 0.012490549 0.0021421371 0.00041740172 0.004032258 0.0025989164 0.0005434098 0.0005906628 0.0006142893 0.0038511215 0.0014018397 0.00045677923 0.0012364541 0.0014727192 0.0006064138 0.0025516632 0.0015120967 0.003543977 0.0015042212 0.0006064138 0.00094506046 0.0040086317 0.00074817287 0.0031817036 0.040676977 0.0811976 0.0 3.969766e-06 3.969766e-06 2.3818597e-05 0.0 2.3818597e-05 1.5879064e-05 0.0 0.0 3.969766e-06 3.969766e-06 7.939532e-06 0.0 3.969766e-06 1.1909298e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0075743143 0.00013497206 1.1909298e-05 1.984883e-05 1.984883e-05 1.1909298e-05 2.3818597e-05 1.1909298e-05 0.00015085112 1.984883e-05 4.3667427e-05 1.984883e-05 2.3818597e-05 1.984883e-05 2.3818597e-05 1.984883e-05 0.0072448235 0.00013497206 8.336509e-05 1.984883e-05 7.939532e-05 3.175813e-05 0.00021039761 9.527439e-05 3.969766e-05 3.969766e-05 2.7788365e-05 1.5879064e-05 7.939532e-05 3.969766e-06 1.5879064e-05 7.939532e-06 0.01324711 0.00015482088 0.0002699441 3.175813e-05 0.00067486026 7.542556e-05 0.00089319743 0.00058355567 5.9546495e-05 4.3667427e-05 5.1606963e-05 1.5879064e-05 6.351626e-05 2.3818597e-05 3.969766e-06 6.748603e-05 0.006565993 0.00022627668 0.00012703252 0.00011909299 7.939532e-05 0.00011909299 9.527439e-05 5.557673e-05 0.00018260925 4.3667427e-05 9.1304624e-05 0.000103213926 5.9546495e-05 5.1606963e-05 9.924416e-05 0.00011115346 0.01224276 0.00021039761 0.00016673018 0.00028979292 0.0007621951 0.0007502858 0.00050019054 0.0003294906 0.00020642785 0.000103213926 0.00017466971 7.145579e-05 0.00011115346 0.00011115346 5.9546495e-05 0.00017069995 0.008979611 7.939532e-05 0.000917016 6.748603e-05 0.00022230692 0.00020642785 0.0037792174 0.0020087017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029459635 0.0011472624 0.0018935786 0.00085349975 0.0022151296 0.0009884718 0.004660506 0.0027034108 0.00078204396 0.00046446265 0.0004128557 0.00027391387 0.0003890371 0.0002818534 0.00036918826 0.0018856389 0.052170668 0.0014966018 0.0026875318 0.0028185342 0.004398501 0.003890371 0.0107421875 0.005303608 0.0021119157 0.0014410252 0.00097259274 0.0009646532 0.002496983 0.0008296812 0.0013457508 0.003890371 0.009900597 0.00048828125 0.0009765625 0.0006510417 0.0017586064 0.0013020834 0.0044064405 0.0025168317 0.00048034173 0.00021436738 0.00026200459 0.00021039761 0.0003175813 0.00024215574 0.00022627668 0.00043667428 0.026938833 0.0010321392 0.003683943 0.0038467036 0.0020761879 0.0014727833 0.0071654283 0.0032194804 0.0013060531 0.0021198553 0.0014013274 0.00064310216 0.0037276105 0.0017347878 0.0008177718 0.003854643 0.0219012 0.0010837462 0.0027550177 0.0027708968 0.003175813 0.0026756225 0.0044540777 0.0027311991 0.0019293064 0.0015680577 0.0019253367 0.0009884718 0.0030527504 0.0019451855 0.0010162601 0.002937627 0.053778425 0.009475832 0.008102293 0.008928005 0.018364139 0.017895706 0.0058514355 0.011778297 0.036105026 0.0026359248 0.0025724086 0.0032671175 0.023350164 0.003838764 0.010099085 0.019729739 0.06042778 0.013902121 0.011996633 0.014525374 0.025537506 0.023497047 0.008479421 0.019483613 0.04430656 0.0031202363 0.003941978 0.0040134336 0.025319168 0.005958619 0.016835779 0.035727896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 509.0 14.098232 7176.0 0.03637124 0.0011148272 0.004877369 0.0008361204 0.007246377 0.0078037903 0.000696767 0.0058528427 0.006688963 0.003065775 0.000696767 0.0008361204 0.008500557 0.00654961 0.008918618 0.010451505 0.012123746 0.008779264 0.0052954294 0.0045986623 0.0032051282 0.0058528427 0.009476031 0.005992196 0.008500557 0.003065775 0.009057971 0.0011148272 0.002787068 0.003065775 0.0019509476 0.0018115942 0.003483835 0.01797659 0.0025083611 0.010590859 0.0078037903 0.009894092 0.007246377 0.00613155 0.008779264 0.0064102565 0.0033444816 0.0033444816 0.008361204 0.010730212 0.0045986623 0.0032051282 0.014074693 0.0075250836 0.009754738 0.019370122 0.009057971 0.0040412485 0.007664437 0.0071070236 0.0009754738 0.009615385 0.0004180602 0.0012541806 0.002787068 0.001393534 0.0018115942 0.0051560756 0.0015328875 0.03442029 0.0050167223 0.023550725 0.021599777 0.07971015 0.007664437 0.010172798 0.0122631 0.037904125 0.0026477147 0.0051560756 0.029542921 0.017001115 0.04375697 0.04459309 0.01797659 0.0005574136 0.046962097 0.030936455 0.054765888 0.023968784 0.004877369 0.0051560756 0.008082497 0.010590859 0.002090301 0.0005574136 0.0005574136 0.0004180602 0.0004180602 0.0019509476 5.7693405 0.0 1.0 7.0 3.0 126976.0 131072.0 0.0 0.0 147.0 0.0 1.0 0.0 0.0 0.0 1179220000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 73728.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2682276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.01302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.63035 0.0 4.7657404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12266.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69652.0 0.0 25504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 86872.0 25504.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 85408.0 0.0 0.0 624.0 77824.0 0.0 0.0 0.0 0.0