Input: 0.13166568 0.031444047 0.0048052124 0.0059420317 0.02059172 0.0026796462 0.0025076903 0.0020061522 0.0058273943 0.0020109287 0.002082577 0.0023691703 0.008019832 0.0027704006 0.0021351192 0.009968665 0.0037543706 0.0023691703 0.008979919 0.0019201742 0.0024026062 0.0028229428 0.0016908997 0.0017195591 0.0028277193 0.001667017 0.008602572 0.0019106212 0.002211544 0.0024121592 0.0020252585 0.0019297274 0.003611074 0.0017434418 0.002073024 0.0021112363 0.0030092283 0.0018007604 0.001762548 0.001891515 0.0019822693 0.0018676321 0.0014281893 0.0023357344 0.0018628556 0.0019392804 0.008636008 0.0018867383 0.0049628383 0.0019345039 0.0019727163 0.003386576 0.0023739468 0.0039836452 0.0021542253 0.0019249507 0.0029232504 0.0024933605 0.0019631633 0.0025029136 0.0022593094 0.0053258566 0.004953285 0.004423088 0.0031859607 0.0102552585 0.0016813466 0.0024073827 0.0024742545 0.00810581 0.003620627 0.002178108 0.00935249 0.008994249 0.001452072 0.001752995 0.0022784157 0.0101310685 0.0018150901 0.0019201742 0.0048577543 0.0022545329 0.0023118516 0.0032862683 0.002073024 0.002445595 0.0032002905 0.009448022 0.00252202 0.0021446722 0.0018628556 0.002445595 0.0021828846 0.0027321882 0.0022402033 0.0022688627 0.002607998 0.0025888917 0.0016574638 0.002020482 0.0023739468 0.0036015208 0.002469478 0.0018294198 0.0030713235 0.0025029136 0.0028372724 0.0016956762 0.0028659317 0.001987046 0.002393053 0.0028277193 0.012122891 0.0019249507 0.0025411262 0.0026891993 0.0045233956 0.0066394084 0.0019965991 0.0019153977 0.0033005981 0.0020778005 0.001667017 0.0017959839 0.0022402033 0.0024073827 0.0017673245 0.0018628556 0.00350599 0.0020539176 0.00167657 0.0067349398 0.0027274117 0.005263761 0.0017577715 0.0013660941 0.0032289496 0.009400256 0.008473605 0.026180286 0.0020252585 0.0057414165 0.0014711783 0.0018246432 0.0027130821 0.0017864307 0.0015046141 0.0017816542 0.0018103136 0.001848526 0.0014855079 0.0015332735 0.0018771853 0.0018150901 0.0017577715 0.0015858156 0.0018341963 0.0014759548 0.0019679398 0.0015141673 0.0018389728 0.0064053573 0.0020969068 0.0023691703 0.0038737843 0.0039406563 0.001752995 0.0014855079 0.008683773 0.0017864307 0.0017004528 0.0018103136 0.008583466 0.0019106212 0.0019201742 0.0016526873 0.0020061522 0.0016383576 0.0017147824 0.0014568486 0.0021398957 0.0016431342 0.0018819618 0.0018341963 0.008841399 0.0016192514 0.0014281893 0.0019106212 0.0019153977 0.0019345039 0.0025076903 0.0025172434 0.0028468254 0.00616653 0.0028516022 0.008874835 0.0019679398 0.0016049218 0.0018628556 0.0019249507 0.01051797 0.0024121592 0.0016096983 0.0018246432 0.0019345039 0.002350064 0.0014090831 0.001581039 0.0021112363 0.0018246432 0.0020443646 0.0019392804 0.0017721012 0.0014377424 0.0016288045 0.008487934 0.002049141 0.0018580791 0.0017100059 0.0022593094 0.0017721012 0.0016144748 0.0017912074 0.001581039 0.0018150901 0.0032958214 0.0014664017 0.0017721012 0.0018294198 0.0016526873 0.0015476032 0.0017147824 0.012906246 0.00406007 0.0018389728 0.0026462104 0.0031907372 0.0016192514 0.0016526873 0.00167657 0.0033388105 0.0017147824 0.0019201742 0.0057605226 0.0030140048 0.0017864307 0.008927377 0.0023882764 0.0042702383 0.0018580791 0.001752995 0.0019201742 0.0063814744 0.001805537 0.0024073827 0.03168765 0.024587246 4.8106526e-06 4.8106526e-06 0.0 0.0 2.4053263e-06 2.645859e-05 4.8106526e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046831705 9.621305e-06 9.621305e-06 7.215979e-06 1.924261e-05 1.6837284e-05 2.4053263e-05 3.1269243e-05 7.215979e-06 4.8106526e-06 9.621305e-06 1.2026631e-05 1.2026631e-05 9.621305e-06 1.924261e-05 5.0511855e-05 0.004577336 1.2026631e-05 1.924261e-05 9.621305e-06 3.1269243e-05 3.6079895e-05 6.975447e-05 1.4431958e-05 7.215979e-05 7.215979e-06 9.621305e-06 9.621305e-06 1.2026631e-05 9.621305e-06 1.2026631e-05 2.4053263e-05 0.012935845 5.7727833e-05 0.0001828048 7.215979e-05 0.00011305034 0.00014913024 0.00055563037 0.0003006658 1.2026631e-05 4.57012e-05 3.1269243e-05 1.924261e-05 2.1647937e-05 2.4053263e-06 7.215979e-06 0.00027180187 0.0038605488 2.4053263e-06 9.621305e-06 1.4431958e-05 0.00016356219 8.1781094e-05 0.00051714515 0.00024053264 9.621305e-06 2.4053263e-06 9.621305e-06 7.215979e-06 0.0 2.4053263e-06 2.4053263e-06 2.4053263e-06 0.0039038446 0.00011545567 6.494381e-05 2.4053263e-05 6.2538486e-05 0.00013229295 0.00012507697 5.291718e-05 0.00016356219 2.4053263e-05 1.924261e-05 9.621305e-06 1.2026631e-05 1.2026631e-05 1.2026631e-05 0.0001924261 0.014198641 0.00062779017 0.00038966286 0.00019483143 0.00024293797 0.0006061422 0.0010535329 0.0006662754 0.00044979603 8.8997076e-05 6.975447e-05 0.00010342903 7.215979e-05 8.659175e-05 0.00011305034 0.0007408405 0.0064029787 0.00024293797 0.000339151 0.00016356219 0.0003175031 0.00034877233 0.0009789679 0.0005099292 0.00018521013 4.3295873e-05 4.8106526e-06 7.215979e-06 1.4431958e-05 2.4053263e-06 1.2026631e-05 0.00027901787 0.01574286 0.00028623384 0.0006061422 0.00037763623 0.0008370536 0.0006085476 0.0022610067 0.0010703702 0.00049790257 0.0001371036 8.659175e-05 0.00034155636 0.00014191425 6.975447e-05 0.00017799415 0.0013878733 0.004841922 5.7727833e-05 0.00021166872 9.621305e-05 0.00059171027 0.0004546067 0.0016019474 0.00078173104 0.00042333745 6.2538486e-05 4.57012e-05 0.00024293797 0.00012267164 5.0511855e-05 7.456512e-05 0.0001924261 0.002852717 0.00018039948 0.00014431958 0.00011305034 0.00023091133 0.00012507697 0.00010342903 0.0001828048 0.00014672491 0.00012026632 0.00014431958 0.00014191425 0.0001731835 0.00010583436 5.5322507e-05 0.00010583436 0.011016395 0.0006470328 0.0008490802 0.0022104948 0.0013902787 0.0007721098 0.0018472907 0.0014552225 0.0033794835 0.0006061422 0.0012363377 0.00024534328 0.0007841364 0.00017077818 0.0011978525 0.0017486722 0.03896388 0.0032688386 0.0019218557 0.009857028 0.006441464 0.0039856257 0.0019651516 0.0056837862 0.021469943 0.0012916602 0.0058112685 0.0016644858 0.0056140316 0.0013541988 0.008767415 0.0198704 0.047445063 0.0053422297 0.003131735 0.011006773 0.010289986 0.009440906 0.004252617 0.009534714 0.02682901 0.0017991841 0.004894839 0.002395705 0.007309787 0.002713208 0.010643569 0.025236685 0.0008851601 0.00032231372 0.00023331666 0.00011545567 0.0006662754 0.00023091133 0.00031269243 0.00034877233 0.00024053264 0.000110645015 0.0003752309 0.00021166872 0.0003559883 0.00020445274 0.000110645015 0.00020204742 0.03701797 0.03823266 0.031901844 0.025498865 0.0505792 0.031488128 0.023661196 0.030792989 0.030013662 0.02398832 0.039271764 0.031668525 0.03729699 0.031187462 0.023598656 0.031043142 594.0 7.671717 4557.0 0.007899934 0.0043888525 0.003949967 0.0048277373 0.00504718 0.0052666226 0.005924951 0.005705508 0.004608295 0.0041694096 0.003949967 0.003949967 0.0063638357 0.006802721 0.00921659 0.0048277373 0.006802721 0.009655475 0.007022164 0.007022164 0.0072416062 0.0043888525 0.0052666226 0.0043888525 0.0048277373 0.004608295 0.0043888525 0.0052666226 0.005924951 0.0048277373 0.0030721966 0.0048277373 0.010313803 0.019969279 0.0048277373 0.012727671 0.01514154 0.01009436 0.007899934 0.011191573 0.01009436 0.025894228 0.0015360983 0.007022164 0.0072416062 0.011411016 0.0065832785 0.0054860655 0.008338819 0.0054860655 0.010972131 0.01426377 0.007461049 0.0048277373 0.007461049 0.024797015 0.0054860655 0.0065832785 0.0063638357 0.0048277373 0.0063638357 0.0065832785 0.004608295 0.012947114 0.0076804915 0.028746983 0.007899934 0.017994294 0.017335966 0.053105112 0.03423305 0.0122887865 0.013166557 0.019969279 0.007899934 0.007022164 0.03028308 0.011191573 0.021944262 0.03686636 0.016238753 0.005924951 0.029624753 0.01931095 0.035330262 0.012508229 0.0076804915 0.013824885 0.010313803 0.009436033 0.0048277373 0.007022164 0.0054860655 0.0041694096 0.0054860655 0.003949967 6.2063274 0.0 0.0 0.0 8.0 209356.0 208896.0 1.0 0.0 116.0 0.0 1.0 0.0 0.0 0.0 889040830.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 5.0 12.0 5.0 0.0 4.0 0.0 72704.0 1536.0 4096.0 4.0 0.0 0.0 2.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -188416.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5499508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.823847 0.0 3.3920212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -186894.0 0.0 9752.0 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 -2.0 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 -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 0.0 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 -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 -1.0 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 1.0 0.0 0.0 0.0 1.0 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 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 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 -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 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 -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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -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 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 1.0 1.0 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 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 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 -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 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 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 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 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 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 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 -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 -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 -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 -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 -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 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 1.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 73760.0 9752.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 488.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05653453 0.008289142 0.0061654686 0.0056593404 0.0057481714 0.004945596 0.004206029 0.0054207374 0.005043723 0.0056221555 0.0037463822 0.004464258 0.0049517937 0.003166917 0.0043237815 0.0046398537 0.0050302953 0.0037680734 0.0049197734 0.0041564493 0.0043485714 0.0031865423 0.0041058366 0.0038445091 0.0050623156 0.0033528416 0.0031607195 0.0029324454 0.004149219 0.0034313432 0.0037846002 0.003787699 0.006159271 0.0038238508 0.0034860878 0.0030233418 0.0048991153 0.004158515 0.0038372788 0.003722625 0.004717322 0.003896155 0.0033373479 0.0031008103 0.004367164 0.0037205594 0.003724691 0.0035852476 0.005518864 0.003945735 0.003105975 0.0029076554 0.0036730452 0.003069823 0.0026855785 0.0028663387 0.0041688443 0.0033197885 0.0035212068 0.003361105 0.004006677 0.003216497 0.0035088118 0.0034551 0.0065858653 0.003943669 0.0036213994 0.0032206285 0.0041678115 0.0032206285 0.003542898 0.0030636254 0.0049941433 0.0037753037 0.0037040326 0.0035852476 0.0041223634 0.00311837 0.0035614904 0.0034664623 0.0051625087 0.0036451565 0.0036627161 0.0033445784 0.00393334 0.0033765987 0.0033580062 0.0035367005 0.004648117 0.0036420578 0.003810423 0.0035088118 0.0041141 0.0033889937 0.0036926707 0.0037969952 0.005908273 0.0036255312 0.0033342491 0.0029562023 0.00399015 0.003058461 0.0032743402 0.0030357367 0.004974518 0.0031741473 0.0032092666 0.0030594938 0.0035769842 0.0028425816 0.0030894484 0.0031958385 0.004504542 0.0032846692 0.0032257931 0.003154522 0.003896155 0.0033445784 0.0032867352 0.0036337946 0.0046212613 0.0032960314 0.0034778244 0.0031731145 0.0040324996 0.0031989373 0.0034747256 0.0033476772 0.008640333 0.004594405 0.0040097754 0.003528437 0.004354769 0.0034303102 0.0030274736 0.003383829 0.0045448253 0.003833147 0.002960334 0.0031937729 0.0037391519 0.002814693 0.0028539437 0.002995453 0.0052296477 0.0031999703 0.003494351 0.0030254077 0.003664782 0.003189641 0.0033166895 0.0032671096 0.0045520556 0.00283845 0.003045033 0.0027114016 0.0035150093 0.003240254 0.002995453 0.0031462586 0.0050168675 0.0034168824 0.0032702084 0.0028002323 0.0037753037 0.0030068152 0.0030543292 0.0031834436 0.0041306266 0.0030016506 0.0031214687 0.0030119799 0.0036441237 0.0028415488 0.0029283136 0.0030388355 0.0046646437 0.0031204359 0.0038414104 0.0028601412 0.0035604576 0.0031503902 0.0029902884 0.0031328308 0.004268004 0.0031524561 0.0033342491 0.0031875754 0.003652387 0.003204102 0.0033342491 0.0033425125 0.006713947 0.0040572896 0.003722625 0.0033425125 0.0041202973 0.003262978 0.0033073933 0.003216497 0.0043268804 0.0033342491 0.0031111396 0.0030780863 0.003651354 0.0029809922 0.0030718888 0.002801265 0.0042504445 0.0032795046 0.0030977116 0.0030047493 0.0037153948 0.0030233418 0.002934511 0.0029520707 0.0039746566 0.0031152712 0.0027310268 0.0026421961 0.0035315359 0.0029510378 0.003580083 0.0028921617 0.004952827 0.003240254 0.003397257 0.0029747947 0.0038052583 0.0030760204 0.003202036 0.0029200504 0.004442567 0.00544656 0.003471627 0.003142127 0.0037887318 0.0030884154 0.003240254 0.0031865423 0.0046088663 0.0033135908 0.003432376 0.0030512305 0.0037329544 0.0030946129 0.0033156567 0.0032443856 0.0043485714 0.0030398685 0.003191707 0.0028673718 0.0040087425 0.0030925472 0.0042153257 0.004503509 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004567809 0.0002932791 0.00027207198 0.000263796 0.0003087965 0.00023845091 0.00032896915 0.0003119 0.00032586567 0.00035172803 0.00032586567 0.00035172803 0.0005203506 0.00015103615 0.00018620896 0.0007360426 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09909523 0.061987408 0.062451378 0.0553413 0.060575325 0.05960859 0.054970436 0.0545106 0.06049929 0.053196277 0.052140575 0.053003863 0.056416657 0.050594006 0.05667683 0.05384749 4038.0 5.7020802 23025.0 0.01728556 0.010466884 0.009337677 0.008686211 0.013463627 0.012508144 0.011900108 0.011378936 0.012551574 0.009815418 0.008512487 0.008599348 0.013941368 0.010597177 0.011682954 0.009989142 0.016677525 0.011900108 0.008729641 0.007513572 0.009771987 0.008469055 0.0077741584 0.008295331 0.010206297 0.008425624 0.009598263 0.008903366 0.011465798 0.008946797 0.009598263 0.009207384 0.018023888 0.010944625 0.010423453 0.008990228 0.010857764 0.008816504 0.010640608 0.0082519 0.014201954 0.011596091 0.009728556 0.008903366 0.011422367 0.009294245 0.011639522 0.009598263 0.014809989 0.009728556 0.010119435 0.008990228 0.012117264 0.009424538 0.009554831 0.009771987 0.013680782 0.009163952 0.010510315 0.009511401 0.011161781 0.009771987 0.010423453 0.010640608 0.017893594 0.010944625 0.009685125 0.0082084695 0.0130293155 0.0082084695 0.009424538 0.008382193 0.015418024 0.009337677 0.008859935 0.00864278 0.011292074 0.008034745 0.009858849 0.007947883 0.013116178 0.007991314 0.008686211 0.008946797 0.011596091 0.009554831 0.008382193 0.008034745 0.010901194 0.008990228 0.012030402 0.008512487 0.011335505 0.0090336595 0.009989142 0.008816504 6.55474 0.0 0.0 0.0 14.0 968134.0 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: 0.05665801 0.00829379 0.006170654 0.0056561744 0.0057483045 0.004952258 0.0042048646 0.0054211905 0.0050537046 0.00563133 0.0037566354 0.0044667628 0.004959504 0.0031738342 0.0043197684 0.004643777 0.0050330013 0.0037700927 0.00493259 0.004160352 0.0043549645 0.0031769397 0.004105488 0.003857047 0.0050661266 0.0033508483 0.0031583067 0.0029347097 0.0041520707 0.003438838 0.0037876905 0.0037897609 0.006169619 0.003827027 0.0034895614 0.003027875 0.004898429 0.0041582817 0.0038353084 0.0037245452 0.0047183093 0.003898454 0.003336356 0.0030993018 0.004370492 0.0037193692 0.0037245452 0.0035868674 0.0055122855 0.003942966 0.0031086183 0.0029026193 0.0036748569 0.0030692818 0.0026852335 0.0028663883 0.0041707037 0.0033156527 0.003522687 0.0033560244 0.0040009357 0.0032204168 0.003506124 0.0034543655 0.006594039 0.003944001 0.0036230984 0.0032193817 0.0041634575 0.0032193817 0.0035402847 0.0030661763 0.0049988404 0.0037731982 0.0037017714 0.0035858322 0.0041261916 0.0031313922 0.0035620234 0.0034647172 0.0051717144 0.0036293094 0.003651048 0.003342567 0.0039346847 0.003385009 0.0033570596 0.0035330385 0.004644812 0.0036417316 0.0038063237 0.0035144053 0.0041116993 0.0033819035 0.0036903846 0.0037876905 0.005908756 0.0036241335 0.0033415318 0.0029502374 0.00399576 0.0030537543 0.003263894 0.0030320159 0.0049791723 0.0031614122 0.0031976432 0.0030496137 0.0035744454 0.0028342982 0.0030765282 0.0031955729 0.004505064 0.003287703 0.0032297333 0.0031510603 0.0038901726 0.0033384264 0.0032928789 0.0036282742 0.004624109 0.0032918437 0.0034854207 0.0031655529 0.0040392373 0.0031955729 0.0034688578 0.0033467077 0.008646783 0.0045961593 0.004010252 0.003523722 0.004363246 0.0034305565 0.003021664 0.0033829387 0.0045423303 0.0038311677 0.0029574835 0.0031903968 0.0037245452 0.0028011727 0.0028487905 0.0029781868 0.005224508 0.0032121355 0.0034926669 0.0030268398 0.0036655404 0.0031883265 0.0033053008 0.0032628588 0.004546471 0.0028384388 0.0030434027 0.0027028313 0.0035206166 0.0032369797 0.0029864681 0.00314899 0.005011263 0.0034119235 0.0032763162 0.0027939265 0.0037763037 0.0030061365 0.0030465082 0.0031810803 0.0041324026 0.0030051013 0.0031220757 0.0030195937 0.0036469074 0.002839474 0.0029212525 0.0030289101 0.0046593044 0.0031200054 0.0038466954 0.0028529312 0.003565129 0.0031479548 0.0029916442 0.0031313922 0.004256623 0.0031479548 0.003330145 0.0031810803 0.0036458722 0.0031945377 0.0033332505 0.0033446373 0.00672033 0.0040651164 0.0037245452 0.0033415318 0.0041251564 0.0032587182 0.0033073712 0.003215241 0.0043208036 0.0033311802 0.0031086183 0.0030827392 0.0036582942 0.0029781868 0.0030775634 0.002803243 0.004245236 0.003281492 0.0030858447 0.0030009607 0.0037172989 0.0030195937 0.0029316042 0.0029460965 0.003984373 0.0031137944 0.0027318161 0.0026427915 0.0035330385 0.0029440261 0.0035734102 0.0028788105 0.0049553635 0.0032359445 0.0033943255 0.0029833626 0.0038125347 0.0030734227 0.003202819 0.0029191822 0.004442954 0.0054532806 0.0034678227 0.0031324273 0.0037856202 0.0030858447 0.003251472 0.003191432 0.0046168626 0.0033260044 0.003427451 0.0030465082 0.0037328266 0.0030910205 0.003316688 0.00323905 0.004352894 0.0030320159 0.0031903968 0.002869494 0.0040133577 0.0030982667 0.0042276382 0.004513345 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919781 0.062022086 0.062457494 0.055319883 0.060587823 0.05956565 0.05491609 0.054489493 0.06045357 0.053168748 0.05212221 0.052959856 0.05643225 0.050557844 0.05668676 0.05386074 4026.0 5.702931 22960.0 0.017247386 0.010409407 0.009407666 0.008710802 0.013458188 0.012412892 0.011803136 0.01141115 0.012543554 0.009799652 0.008536586 0.00858014 0.013893728 0.010627178 0.011716028 0.010060975 0.01672474 0.011933798 0.008710802 0.0075348434 0.009799652 0.008493031 0.0077961674 0.008318815 0.010235191 0.008405923 0.009581882 0.008885018 0.0114982575 0.008928572 0.009625436 0.009189895 0.017987804 0.010844948 0.010409407 0.009015679 0.010888502 0.008841463 0.010670732 0.008275261 0.014198606 0.01162892 0.009712543 0.008928572 0.01141115 0.009320557 0.0116724735 0.009538327 0.014808362 0.009668989 0.010017422 0.009059234 0.01206446 0.009494773 0.009538327 0.009799652 0.013675958 0.009189895 0.010496516 0.009581882 0.0111498255 0.009799652 0.010452962 0.010670732 0.01794425 0.011019164 0.009668989 0.008188154 0.013066202 0.008231707 0.009407666 0.00836237 0.015418119 0.009277004 0.008885018 0.008667247 0.0113240415 0.008013938 0.009886759 0.007839722 0.01315331 0.007970383 0.008710802 0.008885018 0.0114982575 0.009407666 0.00836237 0.008013938 0.011062718 0.008928572 0.0120209055 0.008449477 0.011367596 0.009059234 0.010017422 0.008797909 6.554698 0.0 0.0 0.0 14.0 966024.0 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: 0.12114231 0.011067271 0.0072122114 0.0025661017 0.0055049774 0.001523035 0.0007061702 0.00035877296 0.0111613395 0.0005639736 0.0019509373 0.0004077761 0.007972198 0.0022703328 0.00042133947 0.0048753745 0.01253999 0.0069146925 0.008393975 0.00015926019 0.0038848112 0.02159157 0.00017763636 0.000101944024 0.0018332424 0.00013738379 0.00021526378 0.00025857904 0.0032140806 0.0006418536 0.00019426244 0.00011375728 0.0039066877 0.0001999503 0.0002205141 0.00040033812 0.0021307613 0.00031283253 0.0001968876 0.00017107345 0.0019973153 0.00023714018 0.00031370757 0.0015129718 0.002700423 0.0004944066 0.00026645456 0.0003810869 0.0028316812 0.00048740619 0.00015488491 0.00047253023 0.0029555017 0.000648854 0.00013782132 0.0001811366 0.0019828768 0.0011502611 0.00020870086 0.002260707 0.002163576 0.00087593106 6.781684e-05 0.00011944515 0.032071676 0.0041285143 0.0006064138 0.00054909766 0.0023530256 0.0073500327 0.00035964802 0.00021132603 0.0025849154 0.0008746185 0.0003172078 0.00018507434 0.001852056 0.007501418 0.00034039677 0.00022095164 0.020807082 0.012490111 0.012173342 0.0012281411 0.0017553624 0.004327152 0.0007468603 0.0007201711 0.0022808334 0.0002528912 0.00019907524 0.00030758217 0.0013550242 0.00076611154 0.00022226422 0.0006011635 0.00093806005 0.0009345598 0.00695407 0.0003294586 0.0019894398 0.0017168599 0.005324278 0.0003093323 0.009859256 0.0006908567 0.012550053 0.000312395 0.004459285 0.0003876498 0.0008789938 0.00065235427 0.001766738 0.0005622235 0.0023959032 0.0006746682 0.004405032 0.003350152 0.00027433006 0.0001750112 0.001258768 0.000406026 0.00017457367 7.7442455e-05 0.003288023 0.0015514743 0.00014263413 8.794313e-05 0.0054428484 0.0001968876 6.650425e-05 0.0070372005 0.0022458313 0.031303816 6.737931e-05 0.000109382 0.0016459803 0.016960336 8.9255715e-05 0.029583894 0.002626043 0.06041168 0.00017544873 0.00051059516 0.003422344 0.0005092826 0.00034302197 8.794313e-05 0.0019028093 0.013309602 5.031572e-05 8.663054e-05 0.0031095115 6.0816394e-05 4.37528e-05 0.0001233829 0.0016906082 0.0016932334 0.00012732064 9.0130765e-05 0.001140198 0.0017536122 8.969324e-05 0.00017719885 0.0026129172 0.0001015065 4.2877746e-05 5.294089e-05 0.0017116095 6.300403e-05 7.350471e-05 5.8628753e-05 0.0020555065 8.44429e-05 6.519167e-05 0.00021395119 0.0015029086 6.2566505e-05 7.219212e-05 5.4691e-05 0.0015786011 0.0006287277 8.094268e-05 8.663054e-05 0.0029528765 0.0007674241 0.0004795307 0.0002235768 0.001242142 0.0012491425 0.00010981953 0.0009984389 0.0069470694 0.0014070901 0.0010439418 0.0005512853 0.0048114955 0.00011857009 0.00045065384 0.01296483 0.003375091 0.0009809377 0.00042090192 0.00014613435 0.0018743699 0.000203013 0.00015488491 0.0018336799 0.009327222 9.6693686e-05 0.00018419929 0.0035964802 0.0020441308 0.0005486601 0.0051295785 0.0035540399 0.002104947 0.0008829315 0.00025989165 0.0016521057 0.0035422267 0.0013593995 0.0022143293 0.00056616124 0.0040729484 0.000257704 0.0010920699 0.00011813256 0.0016936709 0.00014569683 0.0002699548 7.919257e-05 0.002393278 0.0004125889 0.000112882226 0.0023469003 0.0031121366 6.650425e-05 0.0003106449 8.313032e-05 0.0019960029 7.5254815e-05 0.00016582312 0.00011200717 0.0019662508 0.00012382043 0.00033995925 0.00060072594 0.0018542437 0.00034520958 0.00059635064 0.0017807389 0.008654742 0.016853578 0.021528566 0.18174607 0.004031658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.1886206e-07 2.1886206e-07 0.0 0.0 0.0 0.0 0.0 1.9697586e-06 0.0012759658 4.377241e-07 8.754482e-07 1.3569447e-05 6.5658617e-07 0.0 1.7508964e-06 4.377241e-07 0.0 0.0 2.1886206e-07 0.0 1.2912861e-05 0.0 0.0 3.7863138e-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 0.0023650234 2.4074827e-05 3.1078413e-05 1.6414655e-05 5.6247547e-05 3.1516138e-05 3.1297273e-05 1.8603276e-05 6.565862e-06 1.4226034e-05 7.660172e-06 7.8790345e-06 1.3131724e-05 2.8452068e-06 8.097896e-06 5.4715514e-05 0.0014742548 8.097896e-06 1.9916448e-05 1.33505855e-05 5.865503e-05 4.8149654e-05 8.448075e-05 4.1802654e-05 1.0505379e-05 5.4715515e-06 9.411068e-06 1.072424e-05 4.158379e-06 1.3131723e-06 1.0943103e-06 1.5320344e-06 0.00034864727 7.003586e-06 1.2037413e-05 4.377241e-07 3.5893376e-05 1.33505855e-05 4.377241e-07 6.5658617e-07 8.754482e-07 9.629931e-06 1.5320344e-06 8.316758e-06 3.720655e-06 1.9697586e-06 2.6263447e-06 1.0943103e-06 0.002308557 5.2964617e-05 4.8149654e-05 3.939517e-05 0.00017749713 8.645051e-05 7.660172e-05 4.1802654e-05 1.8384413e-05 3.6987687e-05 1.5758069e-05 1.597693e-05 3.6768826e-05 1.1380827e-05 2.867093e-05 0.00014226034 0.008373662 0.00013022292 0.00047733815 0.00040358162 0.0006813176 0.00068591366 0.002022942 0.00089996075 2.3855964e-05 1.488262e-05 1.1599689e-05 1.2475137e-05 2.232393e-05 2.2105069e-05 3.4142482e-05 7.879034e-05 0.011361567 0.0001978513 0.00094045023 0.0003957026 0.0009570838 0.00070386037 0.0032632332 0.0014324521 9.017117e-05 8.53562e-05 7.134903e-05 7.353765e-05 0.00012453251 0.000100895406 9.9582234e-05 0.00027270213 0.0030393375 6.543975e-05 0.00020354171 0.00010549151 0.00039811007 0.00017377647 0.00076163997 0.0003755673 5.4496653e-05 3.5455654e-05 4.2240375e-05 8.097896e-05 5.974934e-05 6.9598136e-05 3.9832896e-05 0.00032172722 0.0025795081 0.00038388403 0.00022367702 0.00020791896 0.0005530644 0.0010430965 0.0004263433 0.00027248327 0.0032378454 0.00071086397 0.000118842094 0.0002232393 0.00048324742 0.00030027874 0.0002203941 0.006048034 0.012584568 0.0031931973 0.00129632 0.0011479314 0.0031899144 0.0054822755 0.0027769217 0.0009141868 0.018023072 0.0035630744 0.0006931361 0.0010205538 0.0029579208 0.0024663566 0.0012028659 0.033167668 0.045335524 0.019246073 0.005426466 0.005256629 0.015464355 0.017306298 0.011587651 0.0042912285 0.055240344 0.009127204 0.0025344226 0.0027874273 0.010860811 0.00983566 0.0045654625 0.09444686 0.064107105 0.029325984 0.005223362 0.006705058 0.029752983 0.026403956 0.020547645 0.008719027 0.06541305 0.010288486 0.00461602 0.0054842453 0.016218554 0.018860875 0.007475015 0.089643925 0.020203156 0.007758003 0.0015383814 0.0023998225 0.010203787 0.008279333 0.006721035 0.0035884622 0.016424503 0.0027679484 0.002176583 0.0023680874 0.006500203 0.0054061115 0.0028966393 0.014618235 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1953.0 7.315412 14287.0 0.017498424 0.0002099811 0.0022397984 0.036046755 0.0070693637 0.0 0.00062994333 0.00062994333 0.006369427 0.0002099811 6.99937e-05 0.0 0.0040596346 0.0003499685 0.0012598867 0.0002099811 0.006579408 0.024357807 0.0037796597 0.0025897669 0.013928747 0.000699937 0.001399874 0.000699937 0.0020298173 0.0005599496 0.0014698678 0.0009799118 0.0002099811 0.0002099811 6.99937e-05 0.0002799748 0.0027297544 0.06649402 0.003009729 0.008959194 0.0046195844 0.003919647 0.0062294393 0.0026597606 0.011198992 0.004479597 0.0015398614 0.0008399244 0.013088822 0.0033596975 0.0031497164 0.0033596975 0.05466508 0.009519143 0.020368166 0.017078463 0.014488696 0.0011898929 0.013088822 0.0055295024 0.00510954 0.0004899559 0.0002799748 0.0001399874 0.0046195844 0.0004199622 6.99937e-05 0.0355568 0.0002099811 0.041926228 0.023937846 0.006579408 0.013368797 0.037166655 0.0047595715 0.0035696786 0.100510955 0.017918387 0.04066634 0.003499685 0.027647512 0.017568419 0.015468608 0.01910828 0.0066494015 0.000699937 0.030727234 0.015608596 0.03191713 0.00699937 0.018338349 0.0047595715 0.006369427 0.003989641 0.0009099181 0.0004899559 0.001399874 0.038006578 0.0002799748 0.0 5.3973126 3.0 0.0 0.0 1.0 2285568.0 2301952.0 0.0 0.0 141.0 0.0 1.0 0.0 0.0 0.0 1523526800.0 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 10.0 184.0 6.0 0.0 4.0 0.0 4.0 0.0 2273280.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2273280.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6539493 0.0 2.1396105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2269732.0 0.0 3108.0 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 -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 -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 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -1.0 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 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 -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 -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 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 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 2.0 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 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 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 -2.0 1.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -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 -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 -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 -1.0 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 -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 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 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 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 -2.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 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 -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 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 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -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 40.0 2270708.0 3108.0 2297856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 744.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.012031771 0.0054178275 0.0048254756 0.006680632 0.005237376 0.004306588 0.0049456577 0.004187119 0.0051232562 0.0038864852 0.004301595 0.0040737125 0.004669631 0.0039774245 0.004177847 0.004200671 0.005092587 0.003815517 0.0041004596 0.0039781374 0.006768718 0.004240969 0.004712069 0.0052794577 0.0057209576 0.005168904 0.004826902 0.0047516543 0.004752011 0.0045658536 0.0043554455 0.0042481017 0.0055854404 0.004424274 0.0039100223 0.0036439812 0.004610788 0.0037798549 0.0038882683 0.0038083848 0.0039888364 0.0036001164 0.0034235877 0.0036828532 0.0038087412 0.0033772266 0.003617591 0.00586646 0.0041136546 0.0031283032 0.0035441264 0.0030712434 0.0058735926 0.003094424 0.0034396357 0.0037962594 0.003607962 0.0030794458 0.0030238125 0.0034321467 0.0038301386 0.0029196783 0.0051228995 0.0033158874 0.0045483788 0.0038579553 0.003859382 0.003973858 0.0038112376 0.0036789302 0.0036150946 0.003509534 0.0064659445 0.0034703054 0.0034360695 0.0033486967 0.003728501 0.003562671 0.0034446286 0.0033451305 0.004033414 0.0031176044 0.0033462003 0.0034795776 0.0036054659 0.0034692355 0.0034182384 0.0038451168 0.0038768563 0.0029375094 0.0032220953 0.0031261635 0.0034988353 0.0031439946 0.003034511 0.0039809905 0.0040633706 0.0034481946 0.0031336525 0.0029763815 0.0037809247 0.0031129685 0.003164322 0.0049952283 0.0038679407 0.0034913463 0.0031554066 0.0030598314 0.0036489738 0.0032003412 0.003187146 0.0038401242 0.0037349202 0.0026957185 0.0033879252 0.0029696056 0.003898967 0.0036557496 0.0030990602 0.003504898 0.003433573 0.0032039075 0.0027271016 0.0028080551 0.0034456984 0.002966396 0.0031051226 0.005028038 0.0048654173 0.005756263 0.003718159 0.003737773 0.003987053 0.0054670414 0.0035926274 0.0033565424 0.0037274312 0.0034531874 0.0030523425 0.0038508228 0.0032695262 0.003310538 0.0030181066 0.002993856 0.0066620875 0.0031265202 0.0036101018 0.003185363 0.0032887838 0.0029945693 0.0030912145 0.0031614692 0.003274519 0.0028444307 0.0029992054 0.003139002 0.0032552613 0.0026383023 0.0031924956 0.00312866 0.003663952 0.0033083982 0.0050102067 0.0028123346 0.0036967613 0.0029325169 0.003200698 0.003026309 0.0032873575 0.0029375094 0.0028437176 0.0029756683 0.005332951 0.0029068398 0.0030965637 0.0033059018 0.0038911214 0.0029439288 0.004873263 0.0027049908 0.0035491192 0.002902917 0.0032434927 0.0033026922 0.0036086754 0.0028629752 0.0031486307 0.003043427 0.003257401 0.0026889427 0.0030049114 0.0047024405 0.0043686405 0.0034282238 0.0034906329 0.0033893518 0.0034984786 0.0028512066 0.0034178817 0.003291637 0.00630903 0.0032520518 0.0026835934 0.002764547 0.0029007774 0.006601105 0.002644365 0.003274519 0.0038386977 0.002793077 0.003341921 0.0030787326 0.0033847156 0.0027221087 0.0031964183 0.0031589728 0.0036528967 0.002828026 0.003095494 0.0033212367 0.0032285145 0.0027962865 0.003004555 0.005958469 0.004315147 0.0031964183 0.003049846 0.002964613 0.0040997462 0.0024639133 0.0026311697 0.0030398606 0.0035309314 0.0033954144 0.0029125458 0.0038839888 0.00334834 0.003214606 0.0029225315 0.003520946 0.004689245 0.0033155307 0.0034053999 0.0034870666 0.0041118716 0.003303049 0.005395717 0.0033390678 0.004923547 0.0029071965 0.0056107608 0.0032117532 0.004472418 0.0037556044 0.004948154 0.043838684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000618335 5.1379247e-05 5.7088055e-06 6.9576063e-06 6.244006e-06 2.6760024e-06 1.5520814e-05 4.460004e-06 1.070401e-06 1.7840017e-07 3.5680034e-07 5.352005e-07 1.7840017e-07 0.0 1.6769616e-05 3.5680034e-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 0.0017262 0.00027937465 6.957606e-05 1.4093613e-05 0.00012363131 6.975447e-05 1.8196817e-05 1.2844812e-05 1.4272013e-05 1.8196817e-05 6.814886e-05 1.5342413e-05 0.00018642817 1.23096115e-05 2.158642e-05 0.00027295225 0.0007590927 8.991368e-05 1.070401e-05 1.9088817e-05 5.244965e-05 2.9971228e-05 8.384808e-06 2.7652026e-05 1.9267218e-05 4.103204e-06 2.122962e-05 6.779206e-06 6.0656057e-06 1.088241e-05 1.6948015e-05 1.3558412e-05 0.0011108979 0.00040443317 8.4204876e-05 4.281604e-05 0.00013451373 7.599847e-05 1.2488012e-05 1.088241e-05 5.352005e-05 1.1596011e-05 3.8891238e-05 1.3558412e-05 1.123921e-05 1.3201612e-05 3.300403e-05 0.00014093613 0.00068273745 0.0021481165 0.00034466913 6.333206e-05 6.333206e-05 4.5848843e-05 0.000105969695 7.635527e-05 8.242088e-05 0.00030024748 2.5511223e-05 1.7661616e-05 3.6393634e-05 4.121044e-05 0.00012273931 0.0013239076 0.00061102054 0.0032554462 0.0006472358 0.00010168809 7.314407e-05 6.779206e-05 6.779206e-05 0.00010043929 0.00014521774 0.0004477844 0.00016270095 8.830808e-05 7.831767e-05 9.633609e-05 0.00026082105 0.0025646808 0.00070004223 0.004826438 0.0016676848 0.00032022828 0.0002133666 0.00027045465 0.00046152124 0.00037517556 0.00020587379 0.0003245099 0.0005557165 0.0005553597 0.00024886822 0.00048935163 0.0005467965 0.005776062 0.00037214273 0.0023450702 0.0010466737 0.00042958758 0.00029346827 0.00024833303 0.00017162095 0.00012916172 0.00010150969 0.00016912336 0.00028080185 0.00038356034 0.0005769461 0.0004237004 0.000212653 0.003776553 0.00014040092 0.00022763861 9.776329e-05 2.5332823e-05 6.921926e-05 5.0844046e-05 1.7840017e-05 1.6056014e-05 1.1774411e-05 2.9436027e-05 2.6224825e-05 4.174564e-05 1.8375216e-05 2.140802e-05 1.5164014e-05 0.00028686746 0.00022531941 3.4431232e-05 5.280645e-05 2.7830425e-05 7.7782475e-05 6.511606e-05 8.2599276e-05 5.0844046e-05 9.0448884e-05 2.2835222e-05 1.5699214e-05 4.9416845e-05 0.000113284106 2.087282e-05 2.3727222e-05 0.00014307693 0.0017731192 0.0018416248 0.0018400192 0.0031227164 0.0016746423 0.0001090025 0.0015977519 9.9725694e-05 0.003093994 0.0017265568 0.003110407 0.0015854422 0.004543852 0.0015724191 0.00012505852 0.0032395686 0.073174216 0.06088869 0.059161596 0.054222766 0.058882046 0.05411519 0.053576604 0.05277612 0.057343878 0.050546117 0.050034467 0.05097856 0.052342072 0.05070793 0.05111004 0.08720218 13441.0 5.9221783 79600.0 0.016281407 0.011231156 0.010125628 0.00919598 0.011871859 0.010540201 0.009434673 0.012613066 0.011042713 0.009912061 0.009321608 0.009233668 0.011331658 0.009773869 0.011268844 0.010364322 0.013115578 0.00959799 0.011884422 0.00870603 0.013643216 0.00942211 0.0096356785 0.009836683 0.010829146 0.010326633 0.0084799 0.010201005 0.011281407 0.0073618093 0.010552764 0.008203518 0.0137939695 0.0122738695 0.011532663 0.012726131 0.011306533 0.011193467 0.01048995 0.010703517 0.016557788 0.01129397 0.009773869 0.00968593 0.011909548 0.010238693 0.012776382 0.0096984925 0.013253769 0.009057789 0.010263819 0.011620603 0.011532663 0.009522613 0.009170854 0.010879397 0.011620603 0.008542714 0.009547738 0.00861809 0.010238693 0.007437186 0.008341708 0.010050251 0.01129397 0.011143216 0.009346734 0.0096356785 0.012424623 0.012035176 0.009133166 0.009158292 0.011419598 0.011520101 0.00861809 0.008542714 0.011557789 0.009949748 0.009836683 0.011118091 0.011582915 0.007110553 0.0122738695 0.01008794 0.013366834 0.011645729 0.0084799 0.00942211 0.009912061 0.00888191 0.0071356785 0.0075251255 0.009547738 0.007223618 0.00741206 0.009384423 6.5646133 1.0 0.0 0.0 35.0 2804076.0 6754304.0 0.0 0.0 18.0 0.0 1.0 0.0 1.0 0.0 1375818600.0 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 -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 -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 25.0 4.0 0.0 4.0 0.0 2473984.0 4096.0 4096.0 4.0 1.0 0.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2471936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -191488.0 0.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.903644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6664815 0.0 5.988619 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2473984.0 0.0 0.0 0.0 0.0 0.0 3944448.0 0.0 0.0 0.0 0.0 0.0 0.0 -192512.0 0.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -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 -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 -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 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 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1108.0 6560656.0 138128.0 6422528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 6420212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.25275704 0.026420645 0.030610332 0.018639537 0.022575814 0.0058111497 0.03772584 0.008072279 0.008959899 0.0071600936 0.021258263 0.0074394364 0.0030068024 0.0033457445 0.0048975986 0.0036209926 0.0032870553 0.010637775 0.006076389 0.0051828558 0.003021816 0.0030855099 0.004678765 0.0047160713 0.0023498463 0.0016665029 0.0013343852 0.0030199962 0.002547752 0.00210781 0.0046514673 0.0028935184 0.006413966 0.0016483046 0.0017129084 0.0020382018 0.0012998085 0.003968124 0.0030563928 0.0008216501 0.015509896 0.0019167286 0.0061209747 0.0026241848 0.0041801333 0.0019767827 0.0025727747 0.0022947968 0.003268857 0.0021237335 0.0017429354 0.0021865172 0.00096587103 0.0009949883 0.0011710561 0.000760686 0.0021469363 0.0014554034 0.0011578624 0.00074476254 0.0012875247 0.0009112764 0.0015864307 0.001089164 0.0015013539 0.0040240837 0.0028689508 0.0023239139 0.0027702255 0.0023803285 0.0017397507 0.002733374 0.0013239213 0.0023512114 0.0007215598 0.0015573135 0.0019058096 0.0021055352 0.0014881602 0.0021810578 0.002651937 0.00064785697 0.0024517565 0.004984495 0.0019372016 0.002477689 0.0024249142 0.0014358403 0.003072771 0.0021096298 0.0024458421 0.0011037226 0.0009026322 0.0009367539 0.0007379382 0.008250168 0.0012474887 0.010449879 0.0036405558 0.005357104 0.0035986998 0.02409036 0.0023157247 0.0051146126 0.0049990537 0.010307477 0.0006710597 0.0028052572 0.007075472 0.0049749413 0.012435305 0.032520235 0.010466712 0.0005282036 0.017787859 0.011349326 0.015624545 0.0066846646 0.0016373857 0.0013503087 0.0015145476 0.0010532226 0.0024203646 0.010527676 0.0008999024 0.0036824117 0.0016273767 0.00064694707 0.002187882 0.0023826032 0.000637393 0.002436743 0.00084894744 0.0018211878 0.0027060767 0.0009772449 0.0006178299 0.00058552803 0.00074203283 0.00055231625 0.0016296515 0.0013989889 0.0007060913 0.0007424878 0.00054640183 0.00051546487 0.00057142443 0.0007948077 0.00048771256 0.00045586567 0.0005973569 0.0006979021 0.0013548582 0.00097406027 0.0013398447 0.00038261779 0.0004918072 0.00057415414 0.000544582 0.00067924894 0.00077660946 0.0012474887 0.0015200072 0.00071701023 0.0005541361 0.0011778804 0.00041491963 0.00038534752 0.0003999061 0.00056187034 0.00034485644 0.00042583857 0.0009394836 0.00045768547 0.0005427622 0.0004968117 0.00054549193 0.00051455497 0.00054185226 0.001110092 0.0006442173 0.001666048 0.0007484022 0.000678339 0.00049908645 0.0008835241 0.0005518613 0.00057915866 0.00072519947 0.0005141 0.0004695143 0.00067924894 0.0008894385 0.00068516337 0.000585983 0.0012261057 0.00072292465 0.00067287957 0.0011847047 0.00053320813 0.0005614154 0.0005168297 0.00039035204 0.000503636 0.0005231991 0.00070472644 0.0004799783 0.0005109153 0.0007524968 0.0006624156 0.0007138256 0.00064194255 0.00086487085 0.0005318433 0.00045768547 0.00045814042 0.0004822531 0.00049908645 0.00043857732 0.000442217 0.00076205085 0.00046269 0.0007834338 0.0008039068 0.0008152807 0.0016487596 0.00034804115 0.00056505506 0.00049817655 0.00066014077 0.00091446104 0.00043220795 0.0004927171 0.0009786098 0.0004717891 0.0005918974 0.00053411804 0.00046905936 0.00069335254 0.00041582953 0.00064512726 0.000504091 0.00041173495 0.0014089979 0.0007520418 0.00044949626 0.0005081856 0.0005527712 0.000483163 0.00065149664 0.00048043326 0.00049999636 0.0007133706 0.0004822531 0.0020536701 0.0068693766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007334462 4.461684e-05 7.967293e-06 2.0714962e-05 2.8909892e-05 1.6162223e-05 6.464889e-05 1.570695e-05 6.624235e-05 1.4113491e-05 1.8438594e-05 9.67457e-05 9.355878e-05 5.417759e-05 3.9381193e-05 0.0024147728 0.006719615 0.00017141062 0.0001891663 5.4860506e-05 7.033982e-05 3.8470644e-05 0.0001158672 5.303941e-05 0.00050694746 0.00014227309 3.277972e-05 0.0004996631 0.00019007685 4.0747014e-05 2.8454619e-05 0.0009364984 0.017681245 0.00038789335 0.00036057693 0.0003054888 0.0023020925 0.0026216947 0.01957746 0.008533427 0.0008083388 0.0002076049 0.00014159018 0.00071478 0.00031550482 0.00015024039 0.00011495666 0.00032256157 0.039802775 0.00036012166 0.0028135926 0.0015597683 0.009014878 0.010034237 0.048417922 0.02423514 9.765625e-05 7.5575466e-05 7.1022725e-05 6.237252e-05 0.00013976908 4.029174e-05 2.3674242e-05 0.00031413898 0.071374655 0.003332605 0.0076001147 0.004996176 0.0076465528 0.008496322 0.02487389 0.014067964 0.001286604 0.0004504935 0.00072365784 0.00038834862 0.0005838888 0.0004129334 0.00049442746 0.0010569183 0.15420559 0.024848167 0.022251284 0.007894677 0.006520205 0.0076467805 0.021610258 0.01936758 0.0068263765 0.0028550227 0.0036000784 0.0026899858 0.0024687226 0.0029292323 0.0031973885 0.0038625437 0.14248024 0.026062837 0.021366004 0.006491978 0.0057913116 0.0065117823 0.013705337 0.01898606 0.0077683385 0.0055204234 0.004770815 0.0043139476 0.004481944 0.004277526 0.004567535 0.005887602 0.02492101 0.005430507 0.002907379 0.0014621121 0.0016676682 0.0017846737 0.0022142245 0.0020387166 0.0026510598 0.0012219552 0.0010405285 0.001437755 0.0016428558 0.0012267355 0.0016451322 0.0012531414 0.0031602837 0.00036877184 0.0003942672 0.00050057366 0.0005624909 0.00086046767 0.00076076266 0.0003328052 0.00066014717 0.00027430253 0.00020259689 0.0006537733 0.00048031396 0.00033485395 0.00030389533 0.00040610431 0.0006674315 0.00015479312 0.0001090381 0.00014750875 0.000245165 0.0004375182 0.00016685788 9.947734e-05 0.00021557219 0.00015206148 0.00025335993 0.00037469043 0.00020123106 0.00020441797 7.6486016e-05 0.00069019524 0.00034509762 0.00012224104 0.0001638986 0.0001675408 0.00013635453 0.00013954144 0.00014454946 0.00010949337 9.6518066e-05 9.993262e-05 0.00011359084 0.00012497268 9.924971e-05 9.1965325e-05 4.4161567e-05 0.00033189467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13101.0 20.31593 266159.0 0.0004846727 0.00016155756 6.3871594e-05 0.00031560083 6.7628745e-05 9.768597e-05 0.00015780042 5.635729e-05 0.00019161479 9.768597e-05 0.0002930579 0.0002066434 0.00035317236 9.3928815e-05 0.0015592184 6.7628745e-05 0.004087782 0.004888056 0.0041929823 0.0025435924 0.0017095045 0.0016456329 0.00073640194 0.00087917375 0.000616173 0.001547947 4.508583e-05 6.3871594e-05 0.005218685 0.00028930075 0.005196142 0.00015780042 0.00019537193 0.012315947 0.006766632 0.0058235866 0.0055192574 0.006150459 0.0053689713 0.0052562566 0.003005722 0.0057935296 0.00013525749 0.0045085833 0.003719581 0.0065599885 0.0034866377 0.003670738 0.009238838 0.000221672 0.005417814 0.017034931 0.0056207003 0.001822219 0.004444712 0.0034077375 0.0031860655 0.0018109475 0.0051811137 0.00015780042 5.635729e-05 7.5143056e-05 9.017166e-05 0.04190728 0.0002479721 0.05274291 0.018440105 0.024849808 0.018192133 0.1329168 0.009471782 0.026333883 0.022107087 0.049508 0.00037571526 0.012804376 0.03450569 0.023564862 0.06507764 0.03412622 0.013582107 0.00018034333 0.05725901 0.05001146 0.07835166 0.032071054 0.005466657 0.0049519273 0.0037984813 0.004005125 0.008765438 2.630007e-05 7.5143056e-05 8.265736e-05 3.3814373e-05 3.7571528e-05 5.0026875 0.0 0.0 0.0 3.0 2198016.0 2228224.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542003700.0 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 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 48.0 0.0 4.0 0.0 4.0 0.0 2195968.0 512.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2195968.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9281163 0.0 3.2165904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2195560.0 0.0 980.0 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 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 -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 79.0 2203216.0 980.0 2211840.0 0.0 0.0 0.0 0.0 12.0 2220032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0