Input: 0.12597771 0.0067564514 0.0044057816 0.0053800447 0.009866615 0.0063923025 0.0024384577 0.0038114649 0.00869018 0.0014537959 0.002193892 0.002087907 0.007670123 0.0036214916 0.0021926921 0.005927168 0.014426975 0.0019881208 0.0015803782 0.0030571707 0.0029927797 0.002107304 0.0010092583 0.002877196 0.0019565253 0.0009648645 0.00065370824 0.0010458531 0.002008518 0.0009598652 0.0007428957 0.00090627273 0.0024134612 0.0010318551 0.0010306553 0.0027612124 0.004246404 0.0014573954 0.0010914467 0.0028615983 0.0020341144 0.0009846617 0.0007378964 0.0031939517 0.0014016032 0.0010662503 0.0035147066 0.0015589811 0.0033773258 0.0022126893 0.0030391733 0.020111576 0.0029743824 0.0028779958 0.0035597002 0.015836177 0.0027960076 0.002250484 0.0016011752 0.00420461 0.0032555428 0.0028809954 0.002527645 0.0038728563 0.0062203268 0.0034347177 0.006060149 0.0037214775 0.0043565882 0.012830399 0.0027086197 0.002535044 0.0030579707 0.0034165203 0.001859339 0.0015819779 0.0024270592 0.01260783 0.0019887208 0.0014160012 0.0071026026 0.0048669167 0.0032105492 0.0028376016 0.0019961197 0.007825501 0.0024752524 0.001816345 0.0023086758 0.0021265014 0.0011992316 0.0013798063 0.0030023784 0.0032537433 0.0014611948 0.0020497122 0.0021520979 0.003447916 0.0017327567 0.0025830374 0.00370488 0.0052818586 0.00405983 0.0028228036 0.006952624 0.0030603702 0.0038554587 0.0015759787 0.0028715967 0.0016625666 0.003582897 0.0029609844 0.0034635137 0.0053946427 0.0043905834 0.0030789678 0.007995077 0.0050916853 0.0024754524 0.00242206 0.017573133 0.0021902926 0.0017907486 0.0015615808 0.0026044343 0.0030689691 0.0020693094 0.0014715934 0.0024782522 0.003333132 0.0018829356 0.009677242 0.002256683 0.0051800725 0.0017799501 0.0050792866 0.0023424712 0.009063328 0.0024810517 0.033651873 0.0015213864 0.008036871 0.015962359 0.0019119316 0.003403922 0.0013168151 0.0007522944 0.0011308412 0.0014299992 0.001452996 0.00091907097 0.0008210847 0.001132441 0.00081088615 0.0007534942 0.0006637068 0.0010912468 0.0006675063 0.0018973337 0.00071170006 0.0013432114 0.0010990457 0.00045853562 0.0009216706 0.001046653 0.0006219127 0.0006319113 0.00057791884 0.0010232563 0.000491731 0.0020171169 0.0005991159 0.00089267467 0.00046673446 0.0008454813 0.0006629069 0.0027792098 0.000869078 0.0013010174 0.0013460111 0.003994639 0.0012638225 0.0025568411 0.0017845494 0.0055188253 0.0035597002 0.0039140503 0.0014485966 0.0052368646 0.0016643663 0.0042414046 0.0015037889 0.0047603315 0.002593036 0.002485051 0.0036204916 0.0041412185 0.0011006455 0.0019079321 0.004316994 0.0065972735 0.0017569533 0.0015601809 0.0022108895 0.02300337 0.0010782486 0.0014635945 0.0023534696 0.0025310447 0.0010700497 0.001717159 0.0012770207 0.0012766208 0.0006287117 0.00065970735 0.0012300273 0.0023510698 0.001360809 0.0012806202 0.0034095212 0.002044313 0.0011312412 0.001894934 0.0031939517 0.0021315007 0.0009060728 0.0009564657 0.0008358826 0.0028090056 0.0019959197 0.0009722635 0.0009708637 0.011386401 0.0042062094 0.0014349985 0.004076028 0.0048949127 0.00059931586 0.00061331387 0.0008936745 0.004167215 0.00277761 0.0012508244 0.0050796866 0.0034073216 0.0029371877 0.001716159 0.0024420572 0.0041122227 0.0016233721 0.0020781083 0.0047827284 0.00940248 0.0032449444 0.003539703 0.048479393 0.011440503 1.2302047e-05 4.9008154e-06 2.0003328e-07 0.0 1.0001664e-07 6.0009984e-07 4.0006657e-07 1.5002496e-06 1.0001664e-07 0.0 1.0001664e-07 0.0 3.0004992e-07 0.0 9.7016145e-06 0.0033251534 2.0003328e-05 1.5402564e-05 9.401564e-06 1.8503079e-05 1.1001831e-05 1.0401731e-05 4.700782e-06 6.3010484e-06 2.0003329e-06 2.7004494e-06 4.500749e-06 4.6007654e-06 3.400566e-06 8.201365e-06 3.5905974e-05 0.003359159 9.201531e-06 6.6010984e-06 1.1501914e-05 4.9708273e-05 5.210867e-05 5.0408387e-05 2.5404228e-05 4.6007654e-06 1.6002663e-06 1.8002995e-06 2.9004827e-06 5.5009154e-06 2.2003662e-06 1.8503079e-05 8.581428e-05 0.0025816297 1.8002997e-05 1.0401731e-05 4.0106675e-05 0.00016552754 5.7409554e-05 8.701448e-06 1.19019805e-05 6.2010317e-06 7.201198e-06 5.000832e-06 6.2010317e-06 2.3003828e-05 5.000832e-06 4.350724e-05 0.00028754785 0.004575461 6.811133e-05 4.410734e-05 3.720619e-05 5.0808456e-05 4.890814e-05 6.561092e-05 5.150857e-05 2.680446e-05 1.280213e-05 1.340223e-05 1.790298e-05 2.5104177e-05 1.4502413e-05 9.981661e-05 0.00078813115 0.00288558 5.7609584e-05 4.3407224e-05 3.5905974e-05 0.00033425563 0.00012332053 0.00018973157 9.4815776e-05 1.8303046e-05 1.3902313e-05 1.4402396e-05 1.2702114e-05 1.220203e-05 2.7304544e-05 0.000116419375 0.00032165353 0.0075593577 0.00040216692 0.00023903977 0.0054226024 0.00031025163 0.00014572425 0.0012722117 0.00324604 0.0026971488 8.511416e-05 3.6706107e-05 4.1506908e-05 5.0708437e-05 6.19103e-05 0.000336456 0.0012393062 0.013124084 0.0012593096 0.00040726777 0.00097216177 0.0005101849 0.0005272877 0.0020375391 0.0015353555 0.00047077835 0.0001647274 0.00012522083 0.00017382893 0.00013182193 0.0001959326 0.0004884813 0.0024561088 0.012765824 0.00063800614 0.00065470894 0.0017914982 0.010612566 0.004297015 0.009746722 0.0042952145 0.00023473905 6.25104e-05 0.0001574262 0.00034235697 0.00018163022 0.00032235365 0.0006898148 0.002572628 0.013969424 0.00044947478 0.0019970322 0.0028749784 0.0023233867 0.0009491579 0.0026857469 0.002206667 0.0008155357 0.00024494075 0.00025324215 0.0016325717 0.0008207366 0.0012508081 0.0012585095 0.007439438 0.008459108 0.0010922818 0.0013694279 0.0074418383 0.0012733119 0.0006665109 0.002783063 0.0041858964 0.003677412 0.00037066167 0.00051528576 0.0009904648 0.0013381226 0.0007848306 0.0008136354 0.0035662935 0.0060011987 0.0016205696 0.0011975992 0.011382594 0.0017525916 0.0013662273 0.0026723447 0.0031863302 0.0031603258 0.00083803944 0.0008271376 0.000853542 0.001406134 0.00088384707 0.0010262708 0.0015630601 0.024086509 0.0057524573 0.00252422 0.0028656768 0.009329252 0.0068229353 0.0025270204 0.0035385888 0.018477574 0.0021054503 0.0013260207 0.0025030165 0.010251306 0.0018458072 0.0072626085 0.014512815 0.04731557 0.012191528 0.0058804783 0.007343122 0.022280708 0.017825866 0.007059875 0.008720651 0.04080509 0.004199099 0.0032002325 0.007067576 0.022690576 0.004945723 0.015968658 0.03100586 0.024627998 0.00883477 0.0074480395 0.01459933 0.010806598 0.009628202 0.008336587 0.015607897 0.020537918 0.004241806 0.0028273705 0.01057796 0.015001897 0.0069512567 0.0076166675 0.019164389 0.012735019 0.00685194 0.009545288 0.022563454 0.010412932 0.006394364 0.012869942 0.019941118 0.015701713 0.0066074994 0.004392731 0.018764423 0.012995862 0.009762225 0.003935655 0.015997361 19142.0 15.551457 297686.0 0.009536895 0.001017851 0.0010749581 0.00208945 0.004162104 0.0010245695 0.0025731812 0.004840671 0.0026168514 0.0010917544 0.00089019974 0.0018106326 0.00231116 0.002240616 0.0036649355 0.0020021095 0.010410298 0.007904301 0.0097921975 0.015287921 0.0069099655 0.0056872005 0.007581814 0.018052578 0.00764564 0.005885396 0.0050523034 0.0064262343 0.007538144 0.005381509 0.0073769004 0.019033479 0.059146214 0.02000094 0.026017347 0.01982626 0.028194137 0.014458188 0.005183314 0.00933534 0.008115934 0.020696305 0.0019450025 0.0023078008 0.0074608815 0.02312168 0.0072626863 0.0021499163 0.013520958 0.0058921147 0.0045719314 0.022879813 0.005791337 0.016497249 0.009405884 0.007370182 0.0120462505 0.002338034 0.009825789 0.0017535256 0.005193392 0.002408578 0.0015721263 0.009338699 0.0039269566 0.02632304 0.0055729863 0.011596112 0.0140617965 0.043532446 0.010887311 0.012372097 0.0137661835 0.029830089 0.0026873956 0.011844696 0.019093944 0.007454163 0.034509517 0.025100274 0.009093475 0.006080232 0.026813488 0.014995666 0.039672676 0.00871388 0.0050019147 0.004414047 0.021374872 0.004618961 0.0023010822 0.0017703217 0.0037623537 0.001128706 0.0013873678 0.0017703217 6.0118794 0.0 22.0 0.0 21.0 5000702.0 8372224.0 1.0 0.0 82.0 0.0 1.0 0.0 0.0 0.0 1414669800.0 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 -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 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 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 -45056.0 0.0 8269824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2630467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5497386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5742164 0.0 6.9646735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43540.0 0.0 8267324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 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 -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 1.0 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 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 -1.0 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 -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 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 0.0 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 -1.0 0.0 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 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 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 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 -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 0.0 0.0 0.0 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 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 59688.0 8267324.0 73728.0 0.0 0.0 9032.0 8368256.0 2776.0 8343552.0 28.0 49552.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 56952.0 0.0 0.0 340.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.29555598 0.012676194 0.0045125294 0.0030344557 0.0106499605 0.0024079874 0.001673845 0.0020849647 0.009132733 0.0018598277 0.0030736101 0.0019968676 0.007194597 0.0029855128 0.0010082223 0.0040133125 0.008124511 0.0037000782 0.0015172279 0.00092991383 0.004140564 0.004434221 0.0011256852 0.0007928739 0.00348473 0.00067541114 0.00064604543 0.0008516053 0.001898982 0.00070477684 0.0004992169 0.00066562253 0.024970634 0.00054815976 0.0013606108 0.00059710257 0.011080658 0.0019968676 0.00040133126 0.00032302272 0.0017227877 0.0006264683 0.0008907596 0.0014584964 0.0020164447 0.0020066563 0.005990603 0.0007732968 0.0048649176 0.0037000782 0.003729444 0.006401723 0.0027407988 0.0026820675 0.0015563822 0.0013508223 0.0037196553 0.00273101 0.002104542 0.0041503524 0.002104542 0.0026331246 0.0015172279 0.0014193422 0.0036902898 0.0031617072 0.0011844166 0.004218872 0.0066855913 0.010131167 0.0054424433 0.002848473 0.0028191074 0.002398199 0.0007635082 0.00075371965 0.0029855128 0.0024765073 0.0023101019 0.0015661707 0.010062647 0.002691856 0.0023198903 0.0072043855 0.0031617072 0.0029659357 0.005677369 0.0050998433 0.0019772905 0.0018108849 0.00040133126 0.0024079874 0.0013018794 0.002241582 0.0036511354 0.00314213 0.0012333594 0.0059612375 0.0013508223 0.00293657 0.0032400156 0.009279561 0.0039252155 0.0018402506 0.00580462 0.005501175 0.0069009396 0.0006362568 0.0046006264 0.0014487079 0.0051194206 0.004698512 0.019851213 0.00025450275 0.0069303056 0.004541895 0.013694205 0.012382537 0.0022905248 0.0015074393 0.0032693814 0.0017032106 0.0006362568 0.00040133126 0.0051879403 0.0021339075 0.001243148 0.00048942835 0.0040524667 0.0016934221 0.00035238842 0.012382537 0.0031323414 0.008300705 0.0004111198 0.00033281127 0.0017227877 0.0077427565 0.0017032106 0.025401331 0.00095927954 0.0066855913 0.0010375881 0.00066562253 0.00976899 0.00022513705 0.0002055599 0.00019577134 0.0006362568 0.00056773686 0.00023492561 0.00023492561 0.0008222396 0.00040133126 0.00024471417 0.00017619421 0.0005285826 0.00013703994 0.00021534847 0.000117462805 0.0006362568 0.0013508223 0.00024471417 0.0006166797 0.0006166797 0.00069498824 0.0002055599 0.0002055599 0.00093970244 0.00016640563 0.00042090839 0.0010669538 0.0006068912 0.00013703994 0.00031323414 0.0002055599 0.0006362568 0.00013703994 0.00023492561 0.00018598278 0.0005579483 0.000293657 0.00047963977 0.00018598278 0.0013801879 0.00037196555 0.00028386843 0.00031323414 0.00069498824 0.0004502741 0.00043069693 0.0003817541 0.00880971 0.001761942 0.0022905248 0.004209084 0.0060982774 0.00036217697 0.0031519185 0.004561472 0.0015955364 0.0019870792 0.00046006264 0.00051879406 0.0014878622 0.00034259984 0.00051879406 0.0006362568 0.001174628 0.0008222396 0.010835944 0.0061961627 0.0006264683 0.00027407988 0.0006851997 0.0012920909 0.0016346907 0.0007439311 0.0005285826 0.0008711825 0.0007732968 0.00016640563 0.00039154268 0.00022513705 0.0013410337 0.00056773686 0.0002642913 0.00032302272 0.00086139387 0.00022513705 0.00028386843 0.0002055599 0.010052858 0.0016542678 0.00039154268 0.0032889585 0.0025254502 0.000587314 0.0006264683 0.00037196555 0.0031812843 0.0007439311 0.00072435394 0.0011942051 0.0013410337 0.000293657 0.0021534846 0.0013312451 0.004140564 0.00095927954 0.0005090055 0.0007145654 0.0029267815 0.00081245106 0.0014389193 0.028425999 0.06122449 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009700853 0.00015943877 0.00016442123 0.0 9.964923e-06 0.0 9.964923e-06 1.9929847e-05 0.00010961416 0.0 9.964923e-06 0.0 0.0 1.4947385e-05 4.9824616e-06 0.0 0.009591239 4.9824616e-06 0.0 4.9824616e-06 8.968431e-05 0.0 4.9824616e-06 0.00013950893 2.989477e-05 6.4772e-05 9.964923e-06 4.9824616e-06 5.978954e-05 0.00012456154 4.9824616e-06 6.975447e-05 0.01756816 0.00021922831 0.00022919325 0.00080217636 0.00048828125 0.00012456154 6.975447e-05 0.00022421077 0.00016442123 4.4842156e-05 5.480708e-05 5.480708e-05 6.975447e-05 0.000194316 5.978954e-05 3.9859693e-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 0.015455596 0.00028400033 0.001175861 0.0004035794 0.00016442123 0.00014947385 0.00026407046 0.000259088 0.00032884246 0.00026905292 0.0001046317 7.9719386e-05 0.00010961416 0.00013950893 0.0001694037 0.0010512994 0.049356267 0.0 0.021648796 0.003054249 0.00129544 0.0012207031 0.00787229 0.007388991 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.037712254 0.00078224647 0.0037667411 0.0037717235 0.0035126356 0.0015894054 0.008654536 0.0054009887 0.00084203604 0.00047831633 0.0003388074 0.00031887754 0.00033382492 0.0018086336 0.0003537548 0.0017637914 0.019257214 0.00022421077 0.004145408 0.0017538265 0.0063077966 0.0034777583 0.015669841 0.009322186 8.470185e-05 0.00013950893 0.0002092634 0.00019929848 0.00011459662 0.00013452646 5.480708e-05 0.000129544 0.012720224 0.00027901787 0.002665617 0.0059640068 0.0015445631 0.0013103874 0.00888373 0.0045091277 0.0004932637 0.00023915817 0.00036870217 0.00029396525 0.00036870217 0.00039859695 0.0003537548 0.00042350925 0.011908083 0.001240633 0.0012755102 0.012491032 0.0041503906 0.0023716518 0.0045739 0.004603795 0.0009665976 0.0009367028 0.0008121413 0.000916773 0.0008320711 0.0021524234 0.0007423868 0.0010463169 0.0020477918 0.00015445631 0.00027403538 0.0026556521 0.0020079322 0.0008320711 0.00062779017 0.0003388074 0.00018435108 0.00021424585 0.00013452646 0.00013452646 0.00013950893 0.00013452646 0.0001444914 0.00017936862 0.020462971 0.0053561465 0.004165338 0.0031887756 0.0069007096 0.006970464 0.0038115832 0.008161272 0.012585699 0.00058294804 0.0007672991 0.0007174745 0.0045041456 0.002536073 0.0030691964 0.008056641 0.08672473 0.02600845 0.018151108 0.014120297 0.027841996 0.03902264 0.014872648 0.037358496 0.062161192 0.011982821 0.005709901 0.0043945312 0.032919124 0.020069355 0.018933354 0.038913026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 767.0 12.414602 9522.0 0.016068053 0.0013652594 0.008716656 0.00052509975 0.004935938 0.0011552195 0.00084015966 0.0009451796 0.001995379 0.0013652594 0.00084015966 0.00073513965 0.0016803193 0.008926696 0.029510608 0.0009451796 0.011972275 0.021109011 0.015227893 0.014807814 0.0076664565 0.008611636 0.0070363367 0.004620878 0.006931317 0.008611636 0.0034656585 0.003990758 0.0074564167 0.0054610376 0.0057760975 0.0054610376 0.0025204788 0.015647974 0.0022054191 0.017118253 0.02016383 0.004200798 0.0059861373 0.014177694 0.0056710774 0.0111321155 0.0009451796 0.0018903592 0.0064062173 0.0051459777 0.0077714766 0.0028355387 0.021634111 0.005250998 0.009031716 0.02142407 0.009766855 0.004830918 0.010817056 0.009346776 0.008926696 0.002625499 0.00073513965 0.0033606386 0.0013652594 0.0034656585 0.0038857383 0.0044108382 0.0022054191 0.04127284 0.0077714766 0.016173072 0.016698172 0.06742281 0.009766855 0.013127495 0.015542953 0.038332283 0.013967654 0.0030455787 0.02457467 0.011027095 0.036546946 0.032556187 0.018273473 0.00084015966 0.04379332 0.024784708 0.04767906 0.018693551 0.004305818 0.0034656585 0.005250998 0.011447175 0.0028355387 0.00010501996 0.0018903592 0.0006301197 0.0010501995 0.0014702793 5.8673954 0.0 0.0 0.0 1.0 102160.0 114688.0 1.0 22.0 168.0 1.0 1.0 0.0 0.0 0.0 894675840.0 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 -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 76288.0 1536.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -76288.0 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 -4.954424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8695875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4726543 0.0 4.2578044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5470.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -76002.0 0.0 4096.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 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 -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 -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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 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 -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 -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 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 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 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 -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 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 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 1.0 -2.0 0.0 0.0 2.0 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 1.0 0.0 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 -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 1.0 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 -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 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 -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 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 0.0 0.0 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 2.0 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 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 0.0 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 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 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 1.0 0.0 0.0 0.0 0.0 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 -2.0 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 -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 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 -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 -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 -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 -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 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 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 722.0 79376.0 180.0 75028.0 3636.0 102400.0 0.0 0.0 0.0 0.0 3380.0 106496.0 28.0 4800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.30029297 0.009277344 0.00390625 0.0036621094 0.030273438 0.0031738281 0.0017089844 0.0017089844 0.011474609 0.0021972656 0.00048828125 0.0009765625 0.004638672 0.0034179688 0.001953125 0.012207031 0.009033203 0.0 0.0007324219 0.0048828125 0.0053710938 0.010253906 0.00024414062 0.00048828125 0.0034179688 0.0007324219 0.00024414062 0.0014648438 0.005859375 0.0012207031 0.0012207031 0.001953125 0.0078125 0.0007324219 0.0007324219 0.00048828125 0.037597656 0.00024414062 0.00024414062 0.00024414062 0.0 0.00048828125 0.0 0.0 0.00048828125 0.0 0.0024414062 0.0 0.0053710938 0.0048828125 0.00024414062 0.00048828125 0.0026855469 0.0012207031 0.0 0.00024414062 0.00048828125 0.0009765625 0.00024414062 0.0012207031 0.0024414062 0.0007324219 0.0007324219 0.00024414062 0.0075683594 0.0041503906 0.00048828125 0.00048828125 0.018310547 0.017333984 0.0029296875 0.00048828125 0.001953125 0.00024414062 0.0 0.00048828125 0.0021972656 0.0012207031 0.00024414062 0.0007324219 0.0041503906 0.005126953 0.0073242188 0.0056152344 0.0034179688 0.004638672 0.0031738281 0.0043945312 0.0014648438 0.0 0.00048828125 0.0024414062 0.001953125 0.00390625 0.0012207031 0.0009765625 0.0021972656 0.0026855469 0.0007324219 0.0007324219 0.0014648438 0.0014648438 0.00048828125 0.0009765625 0.0017089844 0.001953125 0.00024414062 0.00024414062 0.0 0.00048828125 0.0014648438 0.0007324219 0.00048828125 0.00024414062 0.0014648438 0.001953125 0.013916016 0.0041503906 0.00048828125 0.00024414062 0.0007324219 0.00048828125 0.00024414062 0.00024414062 0.0009765625 0.0021972656 0.0009765625 0.00048828125 0.0029296875 0.001953125 0.00048828125 0.018554688 0.0087890625 0.0126953125 0.0 0.00024414062 0.0007324219 0.03881836 0.0012207031 0.018310547 0.001953125 0.005859375 0.00024414062 0.00048828125 0.0031738281 0.0007324219 0.00048828125 0.00048828125 0.0024414062 0.0029296875 0.0 0.0 0.0024414062 0.0009765625 0.0 0.00048828125 0.0017089844 0.00024414062 0.0 0.0 0.0012207031 0.0026855469 0.00024414062 0.0 0.0012207031 0.00048828125 0.00048828125 0.0 0.0024414062 0.0 0.00048828125 0.00024414062 0.00048828125 0.00024414062 0.0 0.0014648438 0.0007324219 0.00024414062 0.0 0.0 0.00024414062 0.0 0.00390625 0.00048828125 0.0014648438 0.00048828125 0.00048828125 0.0007324219 0.0012207031 0.0031738281 0.00048828125 0.0009765625 0.011474609 0.0043945312 0.0048828125 0.0021972656 0.0017089844 0.0 0.0021972656 0.0146484375 0.0014648438 0.0024414062 0.0007324219 0.00024414062 0.0 0.0007324219 0.0 0.00024414062 0.0024414062 0.00024414062 0.0014648438 0.0007324219 0.0012207031 0.00048828125 0.0009765625 0.0007324219 0.00048828125 0.0 0.0007324219 0.001953125 0.0012207031 0.00024414062 0.00024414062 0.00024414062 0.0036621094 0.00048828125 0.0014648438 0.0012207031 0.0009765625 0.0029296875 0.0007324219 0.00024414062 0.011962891 0.0061035156 0.00024414062 0.005126953 0.0056152344 0.0 0.00024414062 0.00024414062 0.0014648438 0.0 0.0 0.00048828125 0.0017089844 0.00024414062 0.0017089844 0.0012207031 0.0029296875 0.0012207031 0.0021972656 0.0017089844 0.0017089844 0.00048828125 0.009033203 0.047851562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17545573 0.012858073 0.011881511 0.0063476562 0.020996094 0.013834636 0.0076497397 0.0100911455 0.030110678 0.0040690103 0.0040690103 0.003092448 0.011230469 0.0037434895 0.0078125 0.0100911455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.16634114 0.03857422 0.040364582 0.016764322 0.048014324 0.041503906 0.006184896 0.020507812 0.10058594 0.013183594 0.008951823 0.013020833 0.03938802 0.011067708 0.036621094 0.065592445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 10.125 81.0 0.086419754 0.012345679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09876543 0.0 0.012345679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012345679 0.0 0.0 0.0 0.012345679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012345679 0.0 0.0 0.0 0.012345679 0.012345679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024691358 0.12345679 0.024691358 0.024691358 0.061728396 0.037037037 0.0 0.012345679 0.012345679 0.037037037 0.0 0.0 0.0 0.024691358 0.061728396 0.037037037 0.012345679 0.0 0.074074075 0.049382716 0.086419754 0.012345679 0.0 0.0 0.012345679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2964435 0.0 0.0 0.0 1.0 4096.0 1019904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1462877200.0 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 -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 6.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 35840.0 1024.0 4096.0 7.0 1.0 0.0 1.0 5.0 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 31744.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -35840.0 -5120.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.104409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -655360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 251136.0 0.0 0.0 -192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35380.0 -4948.0 22736.0 0.0 0.0 0.0 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 1.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4948.0 331776.0 22736.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.20557454 0.01174189 0.0070924885 0.006418756 0.01332613 0.005596501 0.003936923 0.003265343 0.010433169 0.002486138 0.0024732228 0.0020836203 0.0064381287 0.0023742078 0.0017672027 0.006939661 0.0068600187 0.0021847878 0.0016079177 0.0015390378 0.0045374706 0.0037023006 0.0018274728 0.0015261228 0.0034978131 0.0016186803 0.0012527552 0.0015368853 0.002774573 0.0018339303 0.0012247727 0.0016811028 0.008254839 0.0013001102 0.0016832553 0.0013926678 0.011772024 0.0019932154 0.0011429777 0.0012032477 0.0024882904 0.0012936527 0.0014421752 0.0027422854 0.0024280204 0.0012462977 0.0019028103 0.0012419927 0.0030909905 0.0016724927 0.0012958052 0.0060162386 0.0019200303 0.0016337477 0.0013065677 0.0010719452 0.0024258678 0.0025614754 0.0015820877 0.004871108 0.0020125879 0.0023634455 0.0013560752 0.0015175127 0.0047484157 0.0044427607 0.0031082104 0.0037044531 0.014400227 0.011332914 0.004087598 0.002951078 0.0028240804 0.002331158 0.0014830728 0.0010891652 0.003196463 0.0041758507 0.002955383 0.0016272903 0.008797269 0.0032933254 0.0026217455 0.004505183 0.0035537782 0.0033191554 0.005837581 0.0046407906 0.0024280204 0.0036592507 0.0011149952 0.0025851529 0.0020879253 0.003304088 0.0037066056 0.003187853 0.0017241528 0.004455676 0.0013216352 0.0026389654 0.0044384557 0.0074713286 0.0035128805 0.0016854078 0.0043846434 0.003876653 0.004937836 0.0013151778 0.004302848 0.001965233 0.004188766 0.0042189006 0.0035645405 0.0012355353 0.004552538 0.0037884007 0.014113945 0.011565384 0.0022041604 0.0023182428 0.002232143 0.0016595777 0.00092988013 0.0009966077 0.0023720553 0.0031512605 0.0021783304 0.0019114203 0.0039692107 0.002443088 0.0012871952 0.01288702 0.0031426505 0.007766221 0.0015584102 0.0010461152 0.0022988704 0.010790484 0.0016251378 0.027620884 0.0014701578 0.008149366 0.0011214527 0.0010827077 0.0015605628 0.0007770526 0.00086530513 0.0012312302 0.0015304277 0.0011429777 0.00088037265 0.0006888001 0.0013345502 0.0010095227 0.00084162765 0.00089974515 0.0012333827 0.0010267426 0.0009923027 0.0012312302 0.0015670202 0.0019523178 0.00090835517 0.0014809202 0.0013194827 0.0015390378 0.0008437801 0.00090189767 0.0015390378 0.0010181327 0.00089759263 0.00090620265 0.0012958052 0.00094925263 0.00090189767 0.0010288951 0.0016854078 0.0008437801 0.0008437801 0.00089328765 0.0015390378 0.00096001517 0.0019716902 0.0015627153 0.0028154706 0.0011085377 0.00088683015 0.0011924852 0.0013732952 0.00092127017 0.0017693553 0.0012656702 0.0077317813 0.003459068 0.0036829282 0.004886176 0.0046472484 0.0012183152 0.003187853 0.0045267083 0.0026109829 0.0022687353 0.0013410078 0.0012419927 0.012346742 0.0011515877 0.0018791328 0.0017026277 0.0022299904 0.0014916827 0.0019394028 0.0014938352 0.0014357177 0.0009987601 0.0013237877 0.0013496177 0.0021977029 0.0012333827 0.0011881802 0.0017349153 0.0015347328 0.0010547251 0.0010999277 0.0012183152 0.002951078 0.0010999277 0.0010611827 0.0009966077 0.0020341128 0.0009987601 0.0011924852 0.0010762502 0.014647765 0.0033148506 0.0011408252 0.004406168 0.003592523 0.0011257577 0.0011623502 0.0011860277 0.0037840956 0.0019501653 0.0015433427 0.0014314128 0.0023699028 0.0009987601 0.003338528 0.002408648 0.0042232056 0.0018102528 0.0014378702 0.0016466627 0.0040553105 0.0017758128 0.004087598 0.039864305 0.011061947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004219528 1.944483e-05 8.642146e-06 2.0525096e-05 1.51237555e-05 6.4816095e-06 4.321073e-06 3.2408047e-06 7.5618777e-06 3.2408047e-06 3.2408047e-06 6.4816095e-06 1.08026825e-05 2.1605365e-06 6.4816095e-06 8.750173e-05 0.0020687138 1.51237555e-05 1.836456e-05 1.2963219e-05 6.4816095e-06 5.4013412e-06 4.321073e-06 8.642146e-06 6.4816095e-06 1.2963219e-05 1.51237555e-05 5.4013412e-06 1.08026825e-05 7.5618777e-06 7.5618777e-06 6.4816095e-06 0.0117522385 0.00019120748 0.00017284292 7.345824e-05 0.0017705597 0.00062223454 0.00010478602 0.00011126763 0.00021713391 3.888966e-05 3.4568584e-05 4.5371267e-05 4.969234e-05 3.2408047e-05 8.8582e-05 0.00018148507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012291292 0.00022253527 0.00028843162 0.0001533981 0.0004796391 0.0002246958 0.0005498565 0.00035216744 7.021744e-05 9.18228e-05 0.0001123479 0.000100464946 8.8582e-05 7.1297705e-05 5.0772607e-05 0.00033920424 0.0032786143 9.938468e-05 0.00011774924 4.6451536e-05 0.00020309043 7.021744e-05 0.00012531111 0.00010262548 2.9167242e-05 4.7531805e-05 2.7006707e-05 4.5371267e-05 3.672912e-05 3.2408047e-05 3.672912e-05 0.00012639139 0.037111536 0.000918228 0.0023873928 0.0007356627 0.002927527 0.00058658567 0.005260906 0.0025397106 0.00045047185 0.00044399026 0.00026142492 0.00060495024 0.00057578296 0.0005098866 0.00055957894 0.006073268 0.03387073 0.0006600439 0.0028249014 0.00085017114 0.0043469993 0.0024532892 0.0076482994 0.003972146 0.000459114 0.00029383297 0.00051204715 0.00046127455 0.00048612073 0.0006719268 0.0004623548 0.0019736502 0.018876607 0.0007713115 0.0014572819 0.00093335175 0.0034838652 0.00157071 0.007171901 0.0036351027 0.00047747858 0.00026790652 0.0004418297 0.00032300022 0.0004699167 0.0003532477 0.00041050193 0.0013913856 0.012572162 0.00063519774 0.001804048 0.0013751815 0.003246206 0.0012088201 0.005931753 0.0032602495 0.00030787644 0.00020957204 0.00032948182 0.0002959935 0.000354328 0.00034892664 0.000354328 0.0009517163 0.006407071 0.00055849866 0.0006189937 0.0003370437 0.0018731852 0.0005077261 0.0017997269 0.0010132917 0.00014367567 0.00015771916 0.00027762895 0.00030355537 0.00025062222 0.0003510872 0.00025062222 0.000636278 0.004143909 0.00039537819 0.00046019428 0.0002992343 0.0007000138 0.0004969234 0.00042994675 0.00040618086 0.0008825792 0.00023765901 0.00025278277 0.00031759887 0.00084585004 0.00023333794 0.00027762895 0.00068272953 0.068358295 0.011827857 0.012680189 0.009604665 0.019540973 0.020747632 0.00853844 0.014562016 0.040645093 0.002850828 0.0032559284 0.0051766452 0.026381232 0.0053624515 0.013717246 0.02436113 0.053540256 0.011653934 0.010336007 0.011630168 0.019217972 0.020250708 0.008521156 0.018434778 0.0341408 0.0028421858 0.003475223 0.004140668 0.018396968 0.0060538235 0.015688736 0.029375734 0.01216166 0.011173215 0.010283073 0.010516412 0.010689254 0.009969796 0.0102323005 0.010445113 0.010567184 0.009714852 0.010021648 0.009775347 0.010071341 0.009487996 0.01014912 0.01067089 1839.0 13.926591 25611.0 0.03002616 0.0017180118 0.0055444925 0.0017961032 0.008746242 0.0028503377 0.001405646 0.0027722463 0.0038264808 0.0017180118 0.0012104174 0.0014446918 0.0034750693 0.003514115 0.011049939 0.0055444925 0.011323259 0.0074186875 0.004373121 0.0038655265 0.0048026238 0.0026941549 0.0029284293 0.0024989261 0.0046854867 0.0042950297 0.0065987273 0.003396978 0.004216938 0.008980516 0.0032017492 0.0049978523 0.011947991 0.024403576 0.0044512125 0.012885088 0.034750693 0.009449065 0.0074186875 0.019757135 0.0049978523 0.01835149 0.0015227832 0.0016789661 0.00620827 0.0067158644 0.014720238 0.0048026238 0.02491117 0.0057006753 0.008043419 0.02163133 0.009019562 0.0059739957 0.017414393 0.017843895 0.015110695 0.0049588066 0.0016008746 0.004763578 0.0032017492 0.0050368984 0.005505447 0.007926282 0.0030065207 0.03131467 0.008082464 0.020928508 0.021201827 0.058100034 0.008238647 0.010698528 0.009527156 0.03252509 0.003943618 0.0031627035 0.025496857 0.015110695 0.030611847 0.035024013 0.017102027 0.0015618289 0.033462185 0.022334153 0.049705204 0.013744094 0.0050368984 0.00593495 0.010073797 0.006325407 0.002108469 0.0008590059 0.0015618289 0.0008199602 0.0011713717 0.0016008746 5.952158 0.0 18.0 0.0 3.0 464576.0 483328.0 1.0 0.0 339.0 0.0 1.0 1.0 0.0 0.0 1526623500.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 258048.0 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 69632.0 0.0 0.0 0.0 0.0 0.0 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 -258048.0 0.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6324654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2954197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.624024 0.0 7.191175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68206.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -254029.0 0.0 112304.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -1.0 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 0.0 0.0 -1.0 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 -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 -1.0 -2.0 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 1.0 1.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 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 1.0 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 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 -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 -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 -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 1.0 1.0 0.0 0.0 0.0 2.0 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 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 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 1.0 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 -1.0 2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 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 -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 -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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 2.0 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 -1.0 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 -1.0 1.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 0.0 0.0 0.0 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 1.0 -1.0 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 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 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 0.0 -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 -1.0 -1.0 0.0 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 1.0 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 -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 1.0 0.0 1.0 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 1.0 1.0 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 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 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 -1.0 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 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 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -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 -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 1.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 -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 -1.0 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 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 -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 0.0 260.0 322536.0 112304.0 368640.0 0.0 0.0 5256.0 459320.0 0.0 0.0 28.0 263712.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 303728.0 0.0 0.0 1404.0 262144.0 64.0 322400.0 0.0 0.0


Input: 0.10950306 0.008205212 0.0048092976 0.0040836344 0.0063393563 0.0033665083 0.0034651605 0.0034253201 0.008264973 0.002896013 0.002778389 0.0029747451 0.0062814928 0.0028267666 0.0025004554 0.0068496917 0.005859375 0.0026674054 0.0023799858 0.0023742942 0.0041234745 0.002938699 0.002545987 0.0021864756 0.0033902228 0.0024691522 0.002192167 0.0023268652 0.0030771915 0.002232956 0.002232956 0.00238378 0.004224973 0.0025108897 0.00238378 0.0023572198 0.0039887764 0.0023629114 0.0022699505 0.0023031507 0.0026721482 0.0022642592 0.0021418922 0.0031132377 0.0025469358 0.0031511807 0.002415083 0.0021096405 0.0037895748 0.0028021035 0.0027916692 0.0051137917 0.002918779 0.0027347545 0.002681634 0.002693017 0.0033959143 0.0031122891 0.0029899222 0.004269556 0.003243193 0.0031265176 0.0026493822 0.0039546276 0.004359671 0.0031929184 0.0033864286 0.0031274664 0.0030439913 0.01394222 0.006221732 0.004374848 0.0031692039 0.0022784877 0.0024644092 0.0021418922 0.0028457383 0.01036987 0.002453975 0.004025771 0.006793726 0.003999211 0.002990871 0.0031084947 0.0028134866 0.0074453996 0.0039432445 0.003400657 0.002604799 0.003852181 0.0021020519 0.0024710493 0.0025051981 0.0042951675 0.0030202768 0.0030914203 0.0026038506 0.0032422445 0.0024283633 0.0026066962 0.0036046018 0.0039090957 0.003987828 0.0024340549 0.0035287153 0.0029225731 0.0044621173 0.0024018032 0.0034016056 0.0024226718 0.002963362 0.0030420942 0.0031018546 0.0021513782 0.0036340076 0.0034727491 0.007062174 0.008148297 0.0026759426 0.0025165812 0.0026607653 0.0024748438 0.002282282 0.0020982577 0.0024824324 0.003482235 0.0024188776 0.0025991076 0.003577093 0.002645588 0.0022433903 0.009988541 0.0035714016 0.006763371 0.002205447 0.0020650574 0.003283982 0.01146548 0.0029462876 0.026825825 0.002496661 0.009489588 0.0020698002 0.0019635593 0.002670251 0.0020565202 0.0020375485 0.0022642592 0.0025251184 0.0030013053 0.001993914 0.0020811833 0.0024995068 0.0020650574 0.0020157313 0.0021494809 0.0024729464 0.0022206244 0.0021324065 0.0022680534 0.0026370508 0.00271104 0.0021551724 0.0023287626 0.0024188776 0.0021324065 0.0020622117 0.0020100398 0.0026465366 0.0020043482 0.00202996 0.002000554 0.0024093918 0.002054623 0.0020830804 0.0020328057 0.0031625638 0.002045137 0.0021409437 0.0020517772 0.0025867762 0.0022642592 0.0031492836 0.0025402957 0.0033437423 0.002329711 0.002139995 0.0021257664 0.0027660576 0.0026010047 0.0024444892 0.0024217232 0.006278647 0.0036396992 0.0034063486 0.0044241743 0.004497215 0.002388523 0.003675745 0.0048586237 0.003606499 0.0030250198 0.002345837 0.002483381 0.010680055 0.0022253674 0.002568753 0.0024663066 0.003241296 0.0023923172 0.002688274 0.0021769898 0.0027689033 0.002139995 0.0024008544 0.0021143835 0.0034338573 0.002415083 0.0021105893 0.0023989573 0.0030838316 0.0024644092 0.0020593659 0.0021750927 0.0036710023 0.0024463863 0.0021039492 0.0020935147 0.003189124 0.002855224 0.0021969099 0.0021172292 0.012453899 0.0037762946 0.0021703497 0.0047685085 0.0060642683 0.0021172292 0.002097309 0.0022177787 0.0051735523 0.0024169802 0.0022604647 0.0023097908 0.003876844 0.002088772 0.0032242213 0.002776492 0.0048453435 0.0027793376 0.002483381 0.002324968 0.0065309694 0.0033304624 0.0050938716 0.031532675 0.025291828 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018695282 5.699781e-06 6.174763e-06 5.699781e-06 4.2748356e-06 4.2748356e-06 5.224799e-06 5.699781e-06 2.8498905e-06 4.2748356e-06 7.599708e-06 4.7498174e-06 4.7498174e-06 5.699781e-06 3.3248723e-06 5.699781e-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 0.0008411927 4.7498174e-06 6.174763e-06 5.699781e-06 3.6573594e-05 3.3248723e-06 2.8498905e-06 1.5674397e-05 1.899927e-06 1.4249453e-06 2.8498905e-06 1.899927e-06 4.2748356e-06 7.599708e-06 5.224799e-06 3.1348794e-05 0.0016296625 5.0348066e-05 2.992385e-05 5.224799e-06 3.9898467e-05 1.5674397e-05 3.6573594e-05 2.4699051e-05 3.4198685e-05 1.2824507e-05 6.174763e-06 1.2824507e-05 6.174763e-06 9.974617e-06 3.3248723e-06 2.8023924e-05 0.0007889447 2.5174033e-05 2.7548942e-05 1.4249453e-06 2.6598978e-05 1.662436e-05 2.3749088e-05 1.7099343e-05 5.224799e-06 4.7498176e-07 7.599708e-06 8.0746895e-06 1.899927e-06 4.7498174e-06 2.3749087e-06 1.5199416e-05 0.007346543 0.0001586439 0.0002474655 4.037345e-05 0.00057947775 0.00013584478 0.0006749491 0.00031681283 3.799854e-05 0.00019094266 2.8023924e-05 3.0398833e-05 4.322334e-05 2.992385e-05 5.652283e-05 0.0007832449 0.010082913 0.00024034077 0.00062602595 0.000114945586 0.0010782086 0.00024129073 0.0009775124 0.00046548212 8.0271915e-05 0.00016576864 4.9873084e-05 5.5572866e-05 0.00012112035 8.59717e-05 0.000101171114 0.0010777336 0.0064455024 0.00024604055 0.00053482945 0.00015484405 0.0009532884 0.00014439445 0.0011299816 0.00065404986 7.2197225e-05 5.0823048e-05 9.1196496e-05 0.00012397024 0.0001377447 0.00010544595 0.00016101882 0.00066782435 0.0075826086 0.00026218992 0.00073004694 0.0003438868 0.0015945138 0.00060132693 0.00286604 0.0013826719 0.00012397024 8.8346605e-05 0.00021944157 0.00018144303 0.00013251991 8.739664e-05 0.000101646096 0.00023891583 0.00586365 0.00023891583 0.00067399914 0.0005025307 0.001953125 0.00072292227 0.0027952676 0.001668611 0.00014866929 0.00017004347 0.00013156995 0.00011779548 0.00012159533 0.00010497097 0.00010734588 0.00024319066 0.004469103 0.0008540172 0.00096753787 0.00873254 0.0014529692 0.0008046191 0.0011489809 0.0009779874 0.00091813976 0.0006839737 0.00059040234 0.0006426503 0.0007110477 0.0006450252 0.00065499987 0.0010378351 0.012297752 0.0013821969 0.0012349526 0.0018429293 0.005565836 0.0034474176 0.0013342238 0.0013513231 0.011039051 0.0010283355 0.0007537961 0.0011271317 0.004713244 0.0012112035 0.003671609 0.009283043 0.036710866 0.005551112 0.0039556483 0.0047008945 0.016576864 0.012051712 0.0045987736 0.007211648 0.030555576 0.002113669 0.0020713955 0.0038464023 0.01650989 0.0037480812 0.01212486 0.02249751 0.026726274 0.006221311 0.003884401 0.0054470906 0.011429011 0.01055552 0.0042054886 0.0092279455 0.020558635 0.0017621823 0.0018804527 0.0034217685 0.009822623 0.004296685 0.00923982 0.017235188 0.030105295 0.030176066 0.029918151 0.030131893 0.03018129 0.029754758 0.030193165 0.029998424 0.030135693 0.030213116 0.029908651 0.030576475 0.030297186 0.029760933 0.030170841 0.029995574 3828.0 9.207681 35247.0 0.023519732 0.0048514768 0.0044259084 0.005191931 0.012483332 0.005532386 0.0053905295 0.006156552 0.006525378 0.0045677647 0.003915227 0.005816098 0.0068090903 0.007858825 0.0101001505 0.0048231054 0.015065112 0.01219962 0.011149885 0.01055409 0.012171249 0.012029393 0.013022385 0.011774052 0.013788408 0.012965643 0.01455443 0.01174568 0.015831135 0.010979658 0.011234999 0.017760377 0.027321475 0.009986665 0.0053905295 0.007575113 0.00893693 0.006213295 0.007461628 0.0062984084 0.0074332566 0.006383522 0.0052486737 0.0049649617 0.007802082 0.0057593556 0.005816098 0.0045393934 0.012596817 0.0050784466 0.0056174994 0.00939087 0.008170908 0.006610492 0.011405226 0.009135529 0.0077737113 0.0057309843 0.005135189 0.00516356 0.007177916 0.005816098 0.0051068175 0.013816779 0.00774534 0.025193634 0.011603825 0.01549068 0.019122194 0.035605866 0.009674583 0.008397878 0.010015037 0.020739354 0.0073197717 0.0060146963 0.017249694 0.010866173 0.018611513 0.026441967 0.012284733 0.0043124235 0.025392232 0.02113655 0.03662723 0.012540074 0.0075467415 0.0053905295 0.009674583 0.008766703 0.005305416 0.0043124235 0.005702613 0.0046812496 0.005475643 0.0051068175 6.3467064 0.0 0.0 0.0 16.0 1054208.0 1073152.0 1.0 0.0 82.0 1.0 1.0 0.0 1.0 0.0 1541587200.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 396288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 623104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5834947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5805464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4162726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5284176 0.0 3.42769 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395848.0 0.0 6080.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1022136.0 6080.0 1044480.0 0.0 0.0 0.0 0.0 18528.0 1052672.0 28.0 462208.0 0.0 0.0 0.0 0.0 24.0 462400.0 64.0 462240.0 0.0 0.0 332.0 401408.0 0.0 0.0 0.0 0.0


Input: 0.06719882 0.00533748 0.004631595 0.0036992612 0.0037045686 0.0033772786 0.004155698 0.0034798884 0.0046581323 0.0033259736 0.0034002773 0.004231771 0.004334381 0.0036514946 0.0030747566 0.0043945312 0.003969939 0.0035152712 0.0030871406 0.004035397 0.0038054094 0.0040460117 0.0032198257 0.003212749 0.0039292485 0.003486965 0.0040159365 0.0030570652 0.0034657354 0.0034922725 0.0031773665 0.0031402146 0.005241947 0.0032888218 0.0034922725 0.0035824983 0.0057744565 0.003724029 0.0030570652 0.0031685208 0.0034710427 0.0031932886 0.003078295 0.0036974922 0.0033595874 0.0041185464 0.0032445935 0.0030765256 0.003945171 0.0038779438 0.0037328748 0.004566137 0.0038496377 0.003814255 0.0040973164 0.0035541921 0.0038231006 0.0038478686 0.00460152 0.0039239414 0.0037470278 0.0036267266 0.0035807292 0.0036638784 0.009839929 0.004523678 0.0032304404 0.0031773665 0.0048810435 0.0039221724 0.0035948823 0.003409123 0.0037541045 0.00321098 0.003095986 0.0029986838 0.0040159365 0.003446275 0.0032428245 0.0032039033 0.0037452588 0.0035294243 0.0037063377 0.0036125735 0.0039876304 0.0036090354 0.003945171 0.0035311934 0.0038460994 0.0044900645 0.0040601646 0.003343665 0.003879713 0.0039133267 0.0044918335 0.0037700266 0.003407354 0.0034250454 0.0031667515 0.0033365886 0.003932787 0.003904481 0.0034179688 0.003603728 0.0042123105 0.0034975798 0.0035471157 0.00302699 0.0041769277 0.0031791355 0.003407354 0.0035577305 0.0034498132 0.0031030627 0.0040583955 0.0031897502 0.005385247 0.004440529 0.0038337156 0.0031632134 0.0033914316 0.00353827 0.003002222 0.0030110676 0.003382586 0.0033843552 0.003462197 0.0037293364 0.0032145183 0.0032322095 0.0031225232 0.0046811313 0.003329512 0.0046882075 0.0030871406 0.0031119084 0.004010629 0.005385247 0.0032481318 0.0068766274 0.0040601646 0.0037664883 0.0035577305 0.0029314565 0.0031702898 0.0031225232 0.0031366763 0.003209211 0.0032835144 0.0035541921 0.0029898381 0.0035718835 0.003094217 0.0031136775 0.0035824983 0.003133138 0.003670955 0.0030499888 0.0028943047 0.0035028872 0.0033843552 0.003644418 0.0030234517 0.003644418 0.0032852837 0.0035064255 0.0034445059 0.0034816577 0.0036125735 0.0030322974 0.003605497 0.0031172158 0.003709876 0.0030234517 0.0029827615 0.0034427366 0.0032941294 0.0033383577 0.004106162 0.0035488848 0.0033578181 0.0029049197 0.0031862122 0.0033737405 0.0038177932 0.003513502 0.0034993489 0.0030446812 0.0036249575 0.0030641418 0.0036780315 0.0031402146 0.0044104536 0.0034285835 0.0069420855 0.0056771543 0.0035028872 0.0038956353 0.0032428245 0.004730667 0.0033224355 0.0032799763 0.0031012937 0.004051319 0.0036161118 0.003065911 0.002897843 0.0028907666 0.0031844429 0.0033454343 0.0031490603 0.0032481318 0.003975246 0.003014606 0.0035948823 0.0037275674 0.0033348193 0.0035630378 0.0031207541 0.003028759 0.0032552083 0.0036762625 0.0031773665 0.0031897502 0.0035347317 0.003302975 0.00321098 0.00404955 0.0038814822 0.0042565386 0.0034781194 0.0030110676 0.004730667 0.0043219966 0.0031260615 0.0040424736 0.0036196501 0.0029933765 0.0029403022 0.0031154468 0.003658571 0.003198596 0.0030039912 0.0032180564 0.003973477 0.0031119084 0.0034321218 0.0035294243 0.0037169526 0.0031154468 0.0041840044 0.003264054 0.0036196501 0.0031189849 0.0035577305 0.008755449 0.018113373 3.5446915e-06 8.8617287e-07 2.6585185e-06 1.7723457e-06 1.7723457e-06 1.7723457e-06 1.7723457e-06 0.0 1.7723457e-06 0.0 1.7723457e-06 0.0 1.7723457e-06 0.0 1.5951111e-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 0.006400827 9.836519e-05 0.00010368223 2.6585187e-05 7.443852e-05 5.848741e-05 0.00016394198 9.570667e-05 2.7471358e-05 3.101605e-05 3.5446916e-05 3.721926e-05 2.9243705e-05 3.721926e-05 1.6837284e-05 2.3040495e-05 0.0044937828 1.860963e-05 4.2536296e-05 0.00023926668 8.507259e-05 4.7853337e-05 0.0002906647 0.00011786099 1.3292593e-05 1.4178766e-05 1.5064938e-05 1.6837284e-05 7.9755555e-06 9.7479015e-06 1.5951111e-05 1.5951111e-05 0.0014453479 8.861729e-06 2.5699013e-05 9.7479015e-06 0.0001143163 1.0634074e-05 4.4308645e-06 1.3292593e-05 1.240642e-05 8.861729e-06 4.4308645e-06 7.9755555e-06 1.240642e-05 8.4186424e-05 2.1268148e-05 3.101605e-05 0.0013966084 6.20321e-05 5.5828892e-05 2.6585185e-06 6.734914e-05 2.3926668e-05 2.9243705e-05 2.8357532e-05 1.7723458e-05 1.0634074e-05 2.0381976e-05 1.4178766e-05 3.9877777e-05 1.3292593e-05 9.7479015e-06 2.3040495e-05 0.0012370973 1.7723458e-05 3.367457e-05 9.7479015e-06 0.0001666005 2.3040495e-05 5.317037e-06 2.3040495e-05 2.5699013e-05 1.5951111e-05 2.2154321e-05 1.9495803e-05 5.1398027e-05 9.48205e-05 3.101605e-05 3.8105434e-05 0.0030688166 0.000108999266 0.00020647827 6.469062e-05 0.00020116124 0.00011963334 0.0008844005 0.00043156618 0.00010190988 2.481284e-05 1.5064938e-05 1.0634074e-05 5.848741e-05 1.5951111e-05 0.00010634075 2.5699013e-05 0.0045310017 0.00013824296 0.00039789162 0.00059639435 0.00036864792 0.00025964866 0.0009632699 0.0005325899 0.00023306346 7.443852e-05 8.8617286e-05 9.836519e-05 0.00017989309 0.00010811309 0.00013203976 0.00037219262 0.00477913 0.0003916884 0.000830344 0.00580266 0.00058221555 0.00056271977 0.0015649813 0.0011006267 0.0003101605 0.00031547755 0.0006469062 0.00062918273 0.00024724222 0.00032433926 0.00094200176 0.0009340262 0.0026611772 0.00029155088 0.00046524077 0.0020293358 0.00025876248 0.00024635607 0.0007364097 0.00046789928 0.0002481284 0.00025610396 0.0002711689 0.00027028273 0.00019141335 0.00021090914 0.00022242939 0.00024724222 0.00079135236 4.342247e-05 7.0007656e-05 9.659284e-05 1.7723458e-05 8.684494e-05 5.3170374e-05 5.22842e-05 7.089383e-05 0.0001045684 7.798321e-05 0.00010545457 6.912148e-05 7.089383e-05 4.2536296e-05 6.20321e-05 0.0046860822 0.00070627977 0.000784263 0.00073995435 0.0018024757 0.0012397559 0.00077805977 0.0012016504 0.0031414828 0.00033054248 0.00030129877 0.00037750966 0.0012397559 0.0003695341 0.0012468452 0.0028330947 0.010416076 0.0020160433 0.0030803368 0.0021613757 0.0041756467 0.0039363797 0.0014905428 0.0030067845 0.0072045852 0.0006336136 0.00077274273 0.0010208711 0.003933721 0.0012955847 0.003399359 0.0059027974 0.06127708 0.05282831 0.05254119 0.050580975 0.055731412 0.05494981 0.049899507 0.050537553 0.051005453 0.050344367 0.051750723 0.051972266 0.056093857 0.051024947 0.05152918 0.050038636 2581.0 7.5753584 19552.0 0.02628887 0.0067000818 0.00542144 0.0070581012 0.010433715 0.006188625 0.0072115385 0.005728314 0.010894027 0.008745909 0.006853519 0.007109247 0.010177987 0.009513093 0.00849018 0.0053702947 0.01779869 0.013860474 0.014474222 0.01309329 0.018975042 0.0130421445 0.0159063 0.011916939 0.016213175 0.0126841245 0.013860474 0.0117123565 0.016213175 0.011916939 0.013451309 0.016110884 0.0069558104 0.0088482 0.007569558 0.009103928 0.008541326 0.0078764325 0.008285597 0.008387889 0.0063932077 0.0067000818 0.0060863337 0.0061374796 0.007927578 0.007978723 0.0063932077 0.0073649753 0.009461948 0.0063932077 0.007620704 0.013451309 0.0070581012 0.0062909164 0.0109963175 0.010740589 0.010075696 0.0067000818 0.0067512277 0.007262684 0.010536007 0.006495499 0.007262684 0.0069558104 0.0130421445 0.01580401 0.0075184125 0.011507774 0.014934533 0.024549918 0.00930851 0.008081014 0.01309329 0.015548281 0.0074672666 0.006239771 0.0176964 0.01002455 0.016468903 0.017594108 0.012837562 0.0056771687 0.017031506 0.011303191 0.027158348 0.011865794 0.007927578 0.006853519 0.010689444 0.008899345 0.007620704 0.0063420623 0.009973404 0.006035188 0.0063932077 0.006495499 6.465185 0.0 0.0 0.0 11.0 565248.0 577536.0 1.0 0.0 94.0 1.0 1.0 0.0 0.0 0.0 1541719400.0 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 12.0 0.0 5.0 0.0 5.0 0.0 45056.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -442368.0 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 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 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 -14.051319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7599974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445182 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6641 0.0 1.2733822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -434852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12250.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69306.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44304.0 0.0 2893.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 230.0 24576.0 180.0 57244.0 952.0 561152.0 0.0 0.0 0.0 0.0 8608.0 565248.0 56.0 49616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 408.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.53125 0.018821023 0.014737216 0.0053267046 0.0044389204 0.001953125 0.006569602 0.0021306819 0.004616477 0.0014204546 0.0060369316 0.0008877841 0.0028409092 0.0010653409 0.00390625 0.00035511365 0.0040838066 0.0021306819 0.00390625 0.0010653409 0.0012428977 0.0008877841 0.0015980114 0.0012428977 0.0008877841 0.0008877841 0.00053267047 0.0007102273 0.0012428977 0.0010653409 0.0007102273 0.00017755682 0.0124289775 0.0008877841 0.0026633523 0.0010653409 0.0008877841 0.00017755682 0.0 0.0 0.0028409092 0.00035511365 0.0010653409 0.0014204546 0.0021306819 0.0012428977 0.010120738 0.00035511365 0.005859375 0.0021306819 0.00053267047 0.0012428977 0.001953125 0.0008877841 0.0014204546 0.00035511365 0.0010653409 0.0012428977 0.00017755682 0.0017755682 0.00053267047 0.00017755682 0.00017755682 0.00035511365 0.0015980114 0.007990057 0.0021306819 0.006924716 0.0031960227 0.004794034 0.0023082385 0.0015980114 0.0017755682 0.0042613638 0.0014204546 0.0008877841 0.0044389204 0.0042613638 0.0026633523 0.0031960227 0.00390625 0.00017755682 0.0037286931 0.0055042612 0.0044389204 0.0024857954 0.0035511365 0.0008877841 0.0012428977 0.0015980114 0.00035511365 0.0007102273 0.001953125 0.0014204546 0.00035511365 0.0012428977 0.0008877841 0.012251421 0.007990057 0.0044389204 0.004616477 0.023792613 0.0012428977 0.004616477 0.00390625 0.014204546 0.00053267047 0.0015980114 0.010653409 0.008167613 0.0104758525 0.014026988 0.004971591 0.00053267047 0.017933238 0.013849432 0.019708807 0.006924716 0.0008877841 0.0014204546 0.00053267047 0.0062144888 0.00017755682 0.00053267047 0.0 0.00017755682 0.0007102273 0.0 0.0012428977 0.00017755682 0.00017755682 0.0 0.0 0.00017755682 0.0008877841 0.00035511365 0.0 0.00035511365 0.0 0.0 0.00053267047 0.00017755682 0.00035511365 0.0 0.0007102273 0.00017755682 0.00017755682 0.0 0.00017755682 0.00035511365 0.0007102273 0.00017755682 0.00017755682 0.00017755682 0.00053267047 0.0 0.0 0.00017755682 0.0 0.0 0.0010653409 0.0 0.0 0.00035511365 0.0 0.0 0.00017755682 0.0 0.00017755682 0.0007102273 0.0033735796 0.0 0.0 0.0 0.0 0.0 0.00035511365 0.00053267047 0.00035511365 0.0 0.0007102273 0.00017755682 0.0 0.00017755682 0.00053267047 0.0 0.00017755682 0.00017755682 0.0 0.00035511365 0.0 0.0 0.00035511365 0.00017755682 0.00053267047 0.00035511365 0.0 0.0 0.00035511365 0.0 0.00017755682 0.00017755682 0.00017755682 0.00053267047 0.0 0.00035511365 0.00017755682 0.0 0.0 0.00035511365 0.0 0.0 0.00053267047 0.0 0.0008877841 0.0 0.00017755682 0.00035511365 0.00017755682 0.0 0.00017755682 0.0 0.00017755682 0.00035511365 0.0008877841 0.0 0.00035511365 0.0 0.00017755682 0.00017755682 0.0 0.0 0.0 0.00017755682 0.0 0.0 0.0 0.0 0.00017755682 0.00017755682 0.00017755682 0.00035511365 0.0 0.0 0.00017755682 0.0 0.0 0.0 0.0 0.0 0.00017755682 0.0 0.00035511365 0.0 0.0008877841 0.00053267047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17138672 0.0036621094 0.006713867 0.009277344 0.008178711 0.0057373047 0.028076172 0.013305664 0.00048828125 0.00036621094 0.00024414062 0.00061035156 0.00048828125 0.00024414062 0.00048828125 0.0007324219 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.26635742 0.014892578 0.0234375 0.009521484 0.032348633 0.020874023 0.06896973 0.045043945 0.0028076172 0.0024414062 0.00390625 0.0021972656 0.002319336 0.0021972656 0.0012207031 0.0014648438 0.096069336 0.0053710938 0.010009766 0.0026855469 0.024169922 0.015258789 0.051635742 0.033935547 0.0017089844 0.0013427734 0.0029296875 0.0009765625 0.0012207031 0.0015869141 0.00048828125 0.00061035156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74.0 15.486486 1146.0 0.010471204 0.00087260036 0.0 0.002617801 0.00087260036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087260036 0.004363002 0.02530541 0.0 0.006980803 0.005235602 0.00087260036 0.004363002 0.004363002 0.004363002 0.004363002 0.0017452007 0.002617801 0.0034904014 0.00087260036 0.00087260036 0.00087260036 0.00087260036 0.00087260036 0.0 0.00087260036 0.02530541 0.002617801 0.015706806 0.011343804 0.005235602 0.0061082025 0.005235602 0.0017452007 0.004363002 0.0034904014 0.00087260036 0.0061082025 0.006980803 0.004363002 0.0034904014 0.0095986035 0.0 0.0095986035 0.013089005 0.0061082025 0.004363002 0.007853403 0.00087260036 0.00087260036 0.0 0.0 0.0 0.007853403 0.0 0.0 0.004363002 0.00087260036 0.041884817 0.034904014 0.016579406 0.017452007 0.092495635 0.0034904014 0.017452007 0.013961606 0.05235602 0.0017452007 0.004363002 0.036649216 0.03141361 0.036649216 0.05235602 0.014834206 0.00087260036 0.06806283 0.04973822 0.08638743 0.03228621 0.0034904014 0.0061082025 0.002617801 0.02443281 0.0 0.0 0.0 0.0 0.0 0.0 5.1628675 1.0 0.0 0.0 1.0 5632.0 32768.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541457500.0 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 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 1.0 0.0 0.0 0.0 -2.0 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 6.0 0.0 3584.0 512.0 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 -3584.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0973706 0.0 3.108566 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 -3300.0 0.0 856.0 0.0 0.0 0.0 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 11404.0 856.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 28.0 11092.0 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