Input: 0.17512026 0.007328235 0.0044478923 0.004909206 0.0046980577 0.0031396886 0.0023341107 0.0023524715 0.005519701 0.002242307 0.0022583725 0.0022675528 0.010353169 0.0021596835 0.0016754186 0.006272492 0.004599368 0.0016157462 0.0017075499 0.0015537787 0.002299684 0.0027219814 0.00182919 0.0016019756 0.0032062463 0.0015813197 0.0015537787 0.001806239 0.0020013219 0.0018773869 0.0017236156 0.0023019793 0.0048655993 0.0021275522 0.0025200131 0.0025980463 0.007454465 0.002565915 0.0026393582 0.0028137853 0.0042826454 0.0032498532 0.0035321496 0.004142645 0.003148869 0.0040967427 0.0029606712 0.0029032938 0.011615471 0.0028918185 0.0027724735 0.0053544543 0.0025223084 0.0021987 0.0020678798 0.0021046011 0.002880343 0.0026783748 0.0021964049 0.0037960855 0.0023800125 0.0024236194 0.002024273 0.0025705053 0.011057763 0.004982649 0.002464931 0.0071400376 0.005473799 0.006176098 0.0023524715 0.0021941098 0.014812537 0.0035528056 0.0020701748 0.0021550932 0.0043078912 0.003883299 0.0020541092 0.001780993 0.0038993647 0.0022560775 0.0019737808 0.0026806698 0.0026554237 0.0033600177 0.0029331301 0.0029216546 0.0022032904 0.003001983 0.00182919 0.002120667 0.0025819808 0.0032796892 0.0025957513 0.002634768 0.0022859136 0.0024741113 0.0018750918 0.0024442752 0.0023295204 0.0033003453 0.0040141195 0.001808534 0.0025682102 0.0024282094 0.0032773942 0.0019898466 0.0025521445 0.0019301741 0.0023019793 0.0023983733 0.0026967356 0.001758042 0.0034380509 0.00305018 0.007323645 0.0068187243 0.0019485349 0.0019898466 0.0021964049 0.0020150926 0.0017878782 0.0016455824 0.0021527982 0.0025039476 0.0018429605 0.0022400117 0.003073131 0.0024282094 0.0018911575 0.009235458 0.0029629664 0.0062197046 0.0015560738 0.0015445983 0.0025796858 0.008025943 0.0025498495 0.025544396 0.0018383703 0.0064836405 0.0015767296 0.0015744345 0.009430542 0.0016685333 0.0017649273 0.0017511568 0.0017396812 0.0017924684 0.0016868941 0.0015905001 0.0016042707 0.0017144352 0.0014045975 0.0015767296 0.0017511568 0.0017396812 0.0015331228 0.0014344337 0.0017396812 0.0018888623 0.0016501726 0.0017305008 0.0016731236 0.0015973854 0.0013724662 0.0015675492 0.0018613213 0.0014734503 0.0016157462 0.0014964013 0.001537713 0.0014849259 0.0013265644 0.0015423031 0.0016685333 0.00134263 0.0014091877 0.0013518104 0.0016019756 0.0016478775 0.0017350911 0.0021665688 0.0019462397 0.0018223047 0.00182919 0.0016478775 0.0016272217 0.001709845 0.0016570579 0.0017878782 0.0061692125 0.0032360826 0.0023731273 0.0044869087 0.003029524 0.0016593529 0.0027449324 0.0033829685 0.0029400154 0.0030318191 0.0019623053 0.0019026329 0.013157774 0.001636402 0.0022078804 0.0020931258 0.0025521445 0.0019324692 0.002464931 0.0018314851 0.0018108292 0.0016065658 0.0019577153 0.0018842722 0.0027931293 0.0024098486 0.0020586993 0.00243739 0.0019278789 0.0023754223 0.0018613213 0.0019921416 0.0028665725 0.0021987 0.0021619785 0.0019393545 0.002467226 0.0023226351 0.0019967319 0.0022905038 0.016377792 0.0033278863 0.002221651 0.0047554346 0.0038557579 0.0022285362 0.0020678798 0.002217061 0.0037410033 0.002024273 0.0020678798 0.0020678798 0.0022331264 0.0014550895 0.0033531324 0.0026026366 0.0036652652 0.003247558 0.0021803393 0.0018957476 0.0033278863 0.0036996915 0.0042092022 0.06303476 0.023461685 3.6851416e-05 8.061247e-05 5.7580337e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008246656 1.8425708e-05 4.260945e-05 1.2667674e-05 2.3032135e-06 0.0 4.606427e-06 1.4970888e-05 1.4970888e-05 2.3032135e-06 3.4548202e-06 8.061247e-06 2.6486954e-05 1.3819281e-05 7.715765e-05 0.00094546913 0.0018805738 8.061247e-06 2.3032135e-06 1.2667674e-05 2.3032135e-06 0.0 0.0 2.0728921e-05 9.212854e-06 0.0 0.0 0.0 5.7580337e-06 0.0 1.3819281e-05 0.00040306235 0.011566738 0.00013358638 0.00042033647 0.00015201209 0.0001704378 8.867372e-05 0.0001197671 0.0001531637 9.212854e-05 4.606427e-05 0.000102492995 2.6486954e-05 6.333837e-05 1.9577314e-05 6.448998e-05 0.0009316498 0.0056682085 0.0001197671 0.0001531637 0.00011170585 0.00012897995 7.024801e-05 0.00014279924 0.00011861549 4.0306237e-05 3.6851416e-05 7.715765e-05 2.6486954e-05 3.569981e-05 5.1822302e-05 7.370283e-05 0.00021995688 0.0035147038 0.00015546691 0.00014049602 6.2186766e-05 5.7580335e-05 2.6486954e-05 6.679319e-05 2.8790168e-05 5.988355e-05 1.2667674e-05 2.6486954e-05 1.6122494e-05 3.3396595e-05 6.2186766e-05 0.00019001511 0.00026371793 0.0077065523 0.00011055425 0.00071514776 0.00019116672 0.00033511757 0.00019692475 0.00042263966 0.0002902049 5.5277123e-05 3.800302e-05 3.3396595e-05 5.0670697e-05 5.988355e-05 0.00030056934 0.0012610094 0.0023838258 0.0090976935 0.00014740566 0.0007070865 0.00020728921 0.0008729179 0.00039039468 0.000857947 0.00055622606 3.9154627e-05 3.6851416e-05 0.00012667674 0.00013358638 0.0001715894 0.00089595 0.0021949625 0.0024321934 0.013948261 0.00041457842 0.0010295364 0.00052167784 0.0018609965 0.0005942291 0.0029181715 0.0016053398 0.00021650207 0.00035124004 0.0007220574 0.00033511757 0.0004629459 0.0011700324 0.0018011129 0.002708579 0.008252414 0.0002211085 0.00083146006 0.0003581497 0.0010157172 0.00051822304 0.0012932543 0.0009558336 0.00021189563 0.00020153118 0.00027062758 0.00043530733 0.0007139962 0.0014659953 0.0012437353 0.0032371664 0.009598642 0.00062186766 0.001355441 0.000582713 0.0011078457 0.0008118827 0.0012540998 0.0009247402 0.0007047833 0.00046985556 0.0004295493 0.00039845592 0.0006172612 0.0008878888 0.0010825103 0.0027373692 0.011698021 0.0009811689 0.0041043265 0.0033569336 0.002099379 0.0017585035 0.0024644383 0.002262907 0.003596468 0.0013761701 0.00090631447 0.0009397111 0.0014372052 0.0009788657 0.0007715765 0.008437823 0.037991505 0.0053687906 0.017890211 0.014631163 0.014426177 0.009937215 0.006867031 0.009888847 0.019063698 0.004243671 0.003145038 0.0039304337 0.010067346 0.0051407726 0.010556779 0.034398492 0.06304356 0.012800109 0.015039984 0.017579276 0.037611477 0.015429227 0.010358702 0.01482233 0.039247908 0.012395895 0.006647074 0.007431318 0.026896928 0.009827812 0.020834869 0.029656176 0.019864064 0.012895692 0.013450767 0.014815421 0.016884858 0.013162864 0.013238871 0.013867648 0.015979694 0.015052651 0.013117952 0.013267661 0.0155743295 0.013172078 0.015269154 0.016235352 1270.0 8.083465 10266.0 0.030294174 0.0057471264 0.006526398 0.005357491 0.019189557 0.005357491 0.004967855 0.00993571 0.007500487 0.006526398 0.0056497175 0.007305669 0.004773037 0.004870446 0.011883888 0.0055523086 0.014319112 0.005162673 0.007403078 0.0070134425 0.0054548997 0.0034093123 0.0045782193 0.004967855 0.007305669 0.0077927136 0.005357491 0.0058445353 0.0034093123 0.0054548997 0.0044808104 0.003798948 0.012760568 0.0152932005 0.005162673 0.011396844 0.012078706 0.011299435 0.0077927136 0.007890123 0.037210207 0.012565751 0.004675628 0.0036041301 0.013052796 0.010617573 0.0056497175 0.005357491 0.015780246 0.0069160336 0.008377167 0.011689071 0.012273524 0.006526398 0.008377167 0.011981297 0.007500487 0.004967855 0.0057471264 0.0044808104 0.006039353 0.0055523086 0.0055523086 0.007987532 0.007597896 0.028345997 0.008961621 0.020358466 0.018410286 0.047438145 0.009448665 0.008669394 0.006721216 0.023670368 0.006039353 0.004967855 0.021917008 0.010812391 0.020942919 0.026397819 0.00905903 0.0036041301 0.03448276 0.021527372 0.044710696 0.0163647 0.008474576 0.004675628 0.008571985 0.010227937 0.004675628 0.0032144946 0.0035067212 0.004091175 0.004091175 0.004675628 6.215564 1.0 0.0 0.0 5.0 435712.0 487424.0 1.0 0.0 109.0 0.0 1.0 0.0 0.0 0.0 1477392300.0 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 14.0 0.0 6.0 0.0 6.0 0.0 218624.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -219136.0 0.0 183808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.412132 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1425903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.954785 0.0 6.6646204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218719.0 0.0 183376.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 251548.0 183376.0 303104.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 249232.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 249320.0 0.0 0.0 464.0 225280.0 0.0 0.0 0.0 0.0


Input: 0.15205458 0.012678376 0.0061453 0.0050443416 0.011607334 0.0031167476 0.0025445372 0.0022233655 0.009728565 0.0016109381 0.0012478562 0.0013662494 0.0057823593 0.0021492816 0.0011098483 0.010293155 0.025549795 0.0023598212 0.00092569675 0.0009932895 0.0052877604 0.0027584634 0.0010042964 0.00068876916 0.0037499184 0.0013742928 0.0006739524 0.00067677465 0.0033275695 0.0006007151 0.00061129854 0.0007613009 0.0065216464 0.00058843836 0.001225137 0.0005271956 0.029131085 0.0022934983 0.00046482394 0.0004859908 0.0026218668 0.000667179 0.0006042429 0.00183192 0.0020146605 0.00080617465 0.0009777672 0.0006091818 0.0033011814 0.0012846865 0.0041656354 0.002400038 0.0019158819 0.0005271956 0.0006602645 0.0005925306 0.0025435493 0.0024667843 0.0022250589 0.0057261963 0.0058869235 0.0048572267 0.0027724335 0.0061146785 0.024163507 0.006576821 0.0031730514 0.0023825401 0.011080562 0.0044924514 0.0039411257 0.001829521 0.0023792947 0.0016844576 0.0006326065 0.000838066 0.0074774004 0.005342512 0.0028592176 0.004112577 0.009516191 0.005097823 0.006252263 0.0042361915 0.0053309407 0.004051052 0.007272082 0.0032173607 0.003128742 0.0016740153 0.0018463135 0.0017149379 0.0029197547 0.0018100475 0.0031669836 0.0042343573 0.0024015903 0.009215763 0.0015687456 0.0049873325 0.0083884215 0.0139289135 0.0027447755 0.0057215397 0.00524585 0.00667687 0.0038035412 0.0007955912 0.006754623 0.002536917 0.005280987 0.007375376 0.0028484932 0.0005422946 0.011647974 0.0067448863 0.01523124 0.0054325415 0.0013467759 0.0011104128 0.0021808906 0.0018856837 0.00056924706 0.0018642347 0.0020726577 0.0009117266 0.0010896693 0.0007402752 0.0058644866 0.0026443035 0.000717415 0.0098441355 0.0034819462 0.0035170831 0.0014493646 0.0006135563 0.002668575 0.012294551 0.0011557098 0.030639857 0.0016236382 0.010011636 0.0010296965 0.00043462592 0.0013988463 0.00045071272 0.00036943203 0.0010423966 0.0010124808 0.0007478952 0.0005284656 0.00036618643 0.00080180017 0.0004769596 0.00037973322 0.0003966667 0.0008597973 0.0003314728 0.0006376865 0.00034135068 0.0020672954 0.0014514813 0.0003096004 0.00037437095 0.0008287526 0.00039497335 0.00039398557 0.00031834937 0.00083482044 0.00032794502 0.0005208455 0.00036519865 0.0007982723 0.0010933381 0.00043716593 0.0007824678 0.0010864236 0.00038918774 0.00032963837 0.00036548087 0.00073491293 0.00034177402 0.0018079309 0.0013755627 0.0037201438 0.0010254631 0.0007621476 0.0007598898 0.0040617767 0.0008209914 0.00097184046 0.00084441603 0.005348439 0.0037410285 0.0033205138 0.0034832163 0.0055798627 0.0010275799 0.004125418 0.0058481176 0.002148294 0.0013250445 0.0007941801 0.0007666632 0.027040081 0.0008074446 0.0016651253 0.0010699135 0.0022098187 0.001132144 0.003734255 0.0009616804 0.0011574031 0.0005833583 0.00052804226 0.0004745607 0.0015075027 0.0026268056 0.00052324444 0.0009145489 0.000956177 0.0007528342 0.0005949295 0.0004826041 0.0026492425 0.0010510045 0.0007495886 0.00066167564 0.0010380221 0.00092132227 0.0005181644 0.0005422946 0.008480145 0.004199926 0.0006393799 0.0023078918 0.003784632 0.00075269304 0.0007587609 0.0007016104 0.0026028166 0.001419872 0.00086431287 0.004246352 0.0010865647 0.003500432 0.0014990361 0.0011339785 0.001922373 0.0011637532 0.0011424453 0.001118315 0.0021055369 0.001191129 0.0019860147 0.056262746 0.021094823 1.2349938e-05 5.2222595e-06 5.2928303e-06 3.4579825e-06 4.2342643e-07 6.3513966e-07 1.0585661e-06 2.8228428e-06 0.0 0.0 2.1171321e-07 3.4579825e-06 0.0 4.2342643e-07 0.0071976143 0.004573782 7.4664196e-05 3.9096372e-05 6.0267696e-05 2.963985e-05 2.1171322e-06 3.0345561e-06 7.762818e-07 3.5144392e-05 0.0 2.1171321e-07 6.3513966e-07 1.7854481e-05 1.6937057e-06 1.0585661e-06 0.0015193246 0.00014742296 4.163693e-06 7.127678e-06 2.5829013e-05 5.0811173e-06 4.798833e-06 1.0303376e-05 2.8228428e-06 1.6231347e-06 1.1291371e-06 2.8228428e-06 4.3048353e-06 3.0345561e-06 3.4579825e-06 5.3634017e-06 0.0020831875 0.00080175797 1.8277908e-05 2.0183326e-05 0.00027141636 1.2985078e-05 9.597666e-06 1.1220801e-05 5.4339725e-06 1.700763e-05 1.97599e-06 2.893414e-06 4.022551e-06 2.3288453e-06 2.2582742e-06 3.6696958e-06 0.0021391504 0.0031490223 1.9618758e-05 4.3118926e-05 0.003155162 2.9145853e-05 1.4043643e-05 1.9689329e-05 0.001259976 8.750813e-06 3.3874114e-06 5.5045434e-06 5.5045434e-06 5.3634017e-06 1.778391e-05 4.728262e-06 0.0029543873 0.0008467823 0.0001766394 8.4403e-05 0.0009633657 2.1806462e-05 3.225098e-05 2.9075281e-05 2.5335015e-05 1.841905e-05 3.1756983e-06 4.2342645e-06 2.4699875e-06 3.4579825e-06 1.5455065e-05 0.00012921564 0.0012571531 0.0015632904 0.00012406394 6.0832266e-05 0.00035433736 7.05005e-05 5.208145e-05 0.0004898338 0.00033485974 1.841905e-05 9.950521e-06 1.0021092e-05 2.5829013e-05 6.0691124e-05 7.896903e-05 3.9237515e-05 0.00046485165 0.0027694206 0.0003275909 0.00042236786 0.00028581286 0.0001820028 0.0004398695 0.0012479082 0.00072885805 3.3309545e-05 7.706361e-05 4.6647478e-05 4.474206e-05 0.00013796645 8.9978115e-05 6.8877365e-05 0.00046859193 0.023357896 0.003415287 0.0021358335 0.005482949 0.018104868 0.008312708 0.029940907 0.015823798 0.00041989787 0.000680658 0.0003573719 0.00032187466 0.00034234027 0.0011993553 0.000677694 0.0041830298 0.02217583 0.0036802108 0.003464969 0.00622578 0.016236216 0.0073024123 0.021761648 0.011767515 0.0004155225 0.0006990065 0.00050564174 0.00090083975 0.00060888723 0.0012473437 0.0007838329 0.00440674 0.008921172 0.0012265253 0.0026941213 0.0036586162 0.007325207 0.0042279833 0.009540574 0.0047137947 0.0007246238 0.00041636932 0.00091107254 0.0022235534 0.0021935606 0.001326595 0.00096364797 0.0029866383 0.012080144 0.0022801512 0.0022742234 0.0042044832 0.0040564253 0.002085728 0.0034576296 0.0019503727 0.002780359 0.0009372544 0.0018012561 0.003366452 0.004136806 0.0011025319 0.0023594026 0.0038800682 0.017564222 0.004595941 0.0034140167 0.0033010326 0.0035369515 0.0052183075 0.0035377985 0.0025140238 0.007369596 0.0016609607 0.0017078905 0.00234917 0.006354431 0.001810642 0.0039749155 0.008847001 0.075702436 0.02297039 0.022966156 0.012149446 0.021172734 0.023566999 0.011211485 0.0105775455 0.04955444 0.0036993355 0.0039456994 0.0069185058 0.03733393 0.007436356 0.013420854 0.0275688 0.03367821 0.012248527 0.0135966465 0.0071169515 0.012008585 0.014059028 0.006011244 0.0063788486 0.02642555 0.0018357653 0.0018728151 0.0030910836 0.01675583 0.004677945 0.0071893577 0.01313744 0.00026972263 0.00017579253 0.0001488344 0.00013690788 0.0001558915 0.00013860158 0.00016351318 0.00014064815 0.00017579253 0.0001153837 0.00012505194 0.00013853102 0.00014227128 0.00013225019 0.00013838988 0.00015942006 28504.0 45.51814 1297449.0 0.0136791505 0.00038768383 0.00063971686 0.00029750686 0.022686826 0.0008092804 0.00024124263 0.00059193076 0.0011715296 0.00059732597 0.00046013368 0.00057035 0.0014836807 0.0012408965 0.0028502084 0.00070445926 0.0067632715 0.0041142274 0.019680157 0.0018651986 0.0027353677 0.0007021471 0.0010952262 0.0007545576 0.0010212348 0.000999654 0.0018220369 0.0021303343 0.0022343847 0.00085475424 0.006249957 0.026571373 0.10636873 0.023876082 0.009808478 0.007328226 0.010815839 0.009691325 0.003040582 0.0030868265 0.0019237751 0.0049242782 0.00051716866 0.000762265 0.0061913803 0.006101203 0.0037142115 0.015832607 0.012906866 0.0066515137 0.0050976956 0.011370004 0.00844118 0.01027709 0.019218482 0.0024363194 0.0061836727 0.0006142823 0.007441526 0.000906394 0.0014042942 0.0016401416 0.0011013921 0.01224711 0.00041465985 0.047826927 0.0064118127 0.02435934 0.02347838 0.072796695 0.00546534 0.026491985 0.009076272 0.032775085 0.0015962091 0.0019761855 0.028589178 0.012203177 0.02643495 0.03856799 0.008949099 0.0007638065 0.060205836 0.033472605 0.055341676 0.012383531 0.0034567832 0.0026798742 0.0043647187 0.007645773 0.00073605974 0.00024278411 0.00055570586 0.00030058986 0.00027207236 0.00023815966 5.369448 103.0 2.0 0.0 14.0 7086554.0 7471104.0 1.0 9583.0 354.0 1.0 1.0 0.0 0.0 0.0 1381442300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 99.0 9.0 0.0 5.0 0.0 5.0 0.0 4024320.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -339456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2315776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -405504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4024320.0 0.0 338944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8989925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.883751 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2910438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.518859 0.0 3.8376606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -339418.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2315625.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -439168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4024138.0 0.0 338532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 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 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 -2.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 2.0 1.0 1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 2.0 2.0 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 -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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 2.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 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 0.0 -2.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -19.0 -5.0 -3.0 -7.0 11.0 0.0 0.0 -6.0 12.0 -16.0 11.0 14.0 -3.0 3.0 6.0 5.0 4.0 -5.0 -9.0 5.0 7.0 -9.0 -6.0 24.0 -3.0 -14.0 -13.0 -5.0 10.0 8.0 -1.0 -8.0 10.0 18.0 -13.0 3.0 16.0 2.0 14.0 -5.0 5.0 1.0 8.0 7.0 -10.0 -3.0 -17.0 -4.0 -7.0 7.0 10.0 -7.0 2.0 -13.0 -13.0 -1.0 1.0 2.0 2.0 -9.0 8.0 10.0 8.0 1.0 -5.0 8.0 19.0 -18.0 1.0 -1.0 10.0 -8.0 12.0 6.0 1.0 -7.0 10.0 -2.0 -15.0 5.0 6.0 0.0 -3.0 -3.0 0.0 7.0 7.0 7.0 8.0 17.0 -17.0 4.0 -3.0 6.0 0.0 10.0 -1.0 -12.0 4.0 2.0 -9.0 10.0 14.0 6.0 14.0 4.0 1.0 9.0 -18.0 -10.0 1.0 4.0 -6.0 -7.0 1.0 -21.0 -1.0 -1.0 -2.0 3.0 4.0 1.0 4.0 -3.0 -4.0 -7.0 20.0 757417.0 5588672.0 140.0 5571844.0 338532.0 6791168.0 0.0 0.0 0.0 0.0 260788.0 7131136.0 28.0 4032720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5027384.0 0.0 0.0 1440.0 4030464.0 0.0 0.0 0.0 0.0


Input: 0.15299855 0.016291095 0.011109104 0.006457731 0.0057238983 0.0069770594 0.0070899567 0.004425578 0.0038498014 0.0033191836 0.013197706 0.0027208272 0.0036240064 0.002653089 0.003556268 0.0027546966 0.0025289017 0.0034998194 0.008952764 0.0031159683 0.015342756 0.0046400833 0.002122471 0.0023256864 0.0018402276 0.0017273301 0.002088602 0.0015918533 0.0023708453 0.0027208272 0.0024272942 0.004685242 0.0045384755 0.0020208634 0.0035675578 0.001953125 0.0019418353 0.003601427 0.0021902095 0.0013660585 0.021190843 0.0018402276 0.0028788836 0.0044029984 0.0020208634 0.0021902095 0.0080157155 0.0032627347 0.0030595195 0.0023482658 0.0023143967 0.0023482658 0.0023369761 0.0033304733 0.002043443 0.0018515174 0.0014676662 0.0019644147 0.0015015354 0.0014676662 0.002382135 0.0022240789 0.0025627709 0.0049110367 0.0033078939 0.0035675578 0.0021789197 0.004244942 0.0023256864 0.014100885 0.0027885658 0.003082099 0.0023934247 0.0037933525 0.0012080022 0.0015015354 0.0017160404 0.003827222 0.0016483021 0.002088602 0.006773844 0.011594563 0.002901463 0.003827222 0.00433526 0.002122471 0.0028337247 0.003815932 0.0013096099 0.0017837789 0.0013773483 0.0015128251 0.0015692739 0.0018063583 0.0017611994 0.0062206467 0.0011176843 0.011041366 0.00434655 0.007993136 0.005599711 0.022714956 0.0036127167 0.0069319005 0.0031949964 0.013355763 0.0012757406 0.002991781 0.007428649 0.0065367594 0.012486452 0.016708815 0.0058367955 0.001998284 0.013096098 0.012046153 0.015071803 0.0070109284 0.0028563042 0.0032966041 0.0030256503 0.0031385478 0.0019192558 0.0020095736 0.0021111814 0.0033304733 0.0022805275 0.00607388 0.0075302566 0.00433526 0.0035449783 0.001907966 0.0012531611 0.0021902095 0.0016708815 0.001603143 0.0010951047 0.0013208996 0.0128025655 0.0012757406 0.0010725253 0.0017611994 0.0009934971 0.002957912 0.00089188945 0.0012644508 0.0011967124 0.0012983201 0.0011628432 0.0011628432 0.0009370484 0.0014112175 0.0012305817 0.0012531611 0.0012757406 0.0018063583 0.0009822074 0.0012644508 0.0012870303 0.0022918172 0.004685242 0.0012870303 0.013796062 0.0019869942 0.0015354046 0.0011063945 0.00082415104 0.0012418714 0.0012983201 0.0013208996 0.0006999639 0.0013321893 0.001083815 0.0012983201 0.0011515535 0.00347724 0.00091446895 0.0014450867 0.0010951047 0.0015466943 0.0012870303 0.0013547688 0.0012080022 0.0015128251 0.001128974 0.0010951047 0.0012870303 0.0013321893 0.0016370122 0.0015805636 0.0023482658 0.004086886 0.0012757406 0.00083544076 0.0018063583 0.0014563764 0.001478956 0.0012983201 0.0013208996 0.0016708815 0.0012080022 0.001693461 0.0010047868 0.0011176843 0.0010047868 0.0015579842 0.0011854226 0.002472453 0.001693461 0.0016370122 0.0013208996 0.0012644508 0.001478956 0.0010047868 0.0012757406 0.002088602 0.0012983201 0.0017160404 0.0013096099 0.0014563764 0.0011176843 0.001343479 0.0012644508 0.0029240425 0.0015805636 0.0026643786 0.0016708815 0.001998284 0.0018740968 0.0014112175 0.0009822074 0.0020998917 0.0014902457 0.0017047507 0.0015692739 0.0014676662 0.0020095736 0.0016144328 0.0011176843 0.0025966403 0.0025514811 0.0032966041 0.0018966763 0.0020660225 0.0019757045 0.0020773122 0.0026417992 0.0021111814 0.0038723808 0.0025289017 0.002822435 0.0035223989 0.004594924 0.004244942 0.0068415822 0.0119219655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03414522 0.001585478 0.0045726104 0.0017233456 0.008616728 0.0065429686 0.04705308 0.02421875 0.00020105699 5.7444853e-05 6.893383e-05 0.00017807905 5.7444853e-05 5.7444853e-05 7.467831e-05 0.00025850185 0.025809972 0.0010282629 0.004664522 0.0011144301 0.0060087317 0.0051930146 0.031950828 0.017813649 0.00020105699 1.7233457e-05 8.616728e-05 1.7233457e-05 1.7233457e-05 1.7233457e-05 3.4466913e-05 0.00014361214 0.054848347 0.012735524 0.010047105 0.0031881894 0.0017922794 0.0028147977 0.0032398896 0.0038660385 0.005813419 0.001372932 0.0011259192 0.00079848344 0.0010799633 0.00076976104 0.00094784005 0.0014418658 0.023391545 0.0036132813 0.0039694393 0.0019129136 0.0013786765 0.0015050551 0.0039464612 0.0020795036 0.0016371784 0.0007467831 0.00047679228 0.0004308364 0.00050551473 0.00029296876 0.00042509192 0.0007467831 0.028337546 0.007680377 0.008076746 0.0068014706 0.004566866 0.0044692094 0.017911306 0.008455883 0.002803309 0.00060891546 0.0005629596 0.00057444855 0.0006778493 0.00038488052 0.0005859375 0.0016199448 0.009329044 0.0021886488 0.0022633271 0.0009076287 0.000591682 0.0007123162 0.0020278033 0.0011431526 0.0012408089 0.0009306066 0.0005112592 0.00037913604 0.00044232537 0.00026999082 0.0002757353 0.0003159467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019347426 0.007111673 0.008771829 0.0059283087 0.0067038145 0.006767004 0.007347197 0.007858456 0.008903952 0.003268612 0.0077090994 0.005112592 0.004308364 0.005606618 0.00625 0.01841682 0.04265855 0.026907168 0.024827665 0.016831342 0.024890855 0.028440947 0.014757583 0.020151654 0.027309284 0.014068244 0.02823989 0.017756203 0.015659466 0.017210478 0.019726563 0.037034698 829.0 20.39807 16910.0 0.007865168 0.0006505027 0.0018923713 0.0010053223 0.0010644589 0.00041395624 0.000295683 0.00041395624 0.004494382 0.0013601419 0.0007096393 0.00053222943 0.0024837374 0.0012418687 0.027853342 0.004730928 0.005736251 0.0041395626 0.005736251 0.0037256062 0.0026020107 0.0017740981 0.0023063277 0.0021289177 0.0015375518 0.0018923713 0.0012418687 0.0006505027 0.0034890596 0.0039621526 0.0030751035 0.0008870491 0.00023654642 0.00993495 0.0045535187 0.013364873 0.007037256 0.008693081 0.0065050265 0.0026020107 0.00644589 0.011235955 0.0008279125 0.00094618567 0.003607333 0.010053223 0.0021880544 0.003607333 0.006386753 0.0015966883 0.0070963926 0.0132466 0.013660556 0.0038438793 0.0070963926 0.0065050265 0.0015966883 0.00053222943 0.00041395624 0.0011235955 0.0007687759 0.0014192786 0.00023654642 0.014133649 0.0010644589 0.04494382 0.016144292 0.030514488 0.021525724 0.100650504 0.010348906 0.023950325 0.0069781193 0.05694855 0.0008870491 0.0056771142 0.02998226 0.022353636 0.05280899 0.057480782 0.017327026 0.0031342402 0.05103489 0.04565346 0.06641041 0.024659965 0.008397398 0.010053223 0.004908338 0.009461856 0.0013601419 0.00023654642 0.00053222943 0.00017740982 0.00053222943 0.00047309283 5.3483276 1.0 6.0 0.0 1.0 88576.0 114688.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541760400.0 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 -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 85504.0 512.0 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 -85504.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.040665 0.0 4.2602887 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 -85288.0 0.0 1548.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 93392.0 1548.0 98304.0 0.0 0.0 0.0 0.0 12.0 106496.0 28.0 93080.0 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


Input: 0.22082752 0.013644027 0.0052197822 0.0044817906 0.011284309 0.0032044617 0.0028303603 0.0026298494 0.011439335 0.0018315188 0.0021369266 0.0016198684 0.00855142 0.0022511065 0.0013840824 0.0079833055 0.0062297634 0.0014119311 0.0008976577 0.00093943084 0.0031459795 0.0024776096 0.0009542835 0.00075470086 0.0024776096 0.0011167345 0.00076769694 0.00076305546 0.0019698343 0.0006358796 0.0007157126 0.00094871374 0.0033158567 0.00085309974 0.000987702 0.0006952902 0.006381075 0.0013005362 0.00094685715 0.00057182746 0.0016310079 0.00043351206 0.00058760843 0.001870507 0.0013153888 0.0009830606 0.0010183356 0.0008800202 0.0040705577 0.0024070595 0.0022343972 0.005737769 0.003253661 0.0023086607 0.0023058758 0.002198194 0.0030633614 0.0028869861 0.0019215631 0.0043750373 0.0028461413 0.0021072214 0.0021527077 0.0025184543 0.006553737 0.0030095205 0.0025769367 0.002022747 0.0040380675 0.012380621 0.0035098696 0.0023504337 0.0027514556 0.006337445 0.0045198505 0.003967517 0.004228367 0.0075367973 0.002342079 0.0012977513 0.009413803 0.0025230958 0.0021944807 0.002966819 0.0019772607 0.0045384164 0.005415652 0.003743799 0.0018751485 0.0023597167 0.0006126723 0.0019392007 0.0014128594 0.004438161 0.0035256506 0.0033251396 0.001268046 0.003106991 0.0012058505 0.0024571873 0.0040928368 0.004931084 0.0031747564 0.0009672796 0.0046368153 0.0022037637 0.005896507 0.0009756342 0.0028275754 0.0011037384 0.0025481598 0.0025463032 0.0025899329 0.0006544454 0.003074501 0.0027458859 0.00957811 0.0109937545 0.0016254381 0.0013590185 0.002147138 0.0016430757 0.00057461235 0.00048735295 0.0014778398 0.0022167598 0.001701558 0.002115576 0.003326068 0.0013478791 0.0005569748 0.010684634 0.003262944 0.009207722 0.0007027165 0.0008800202 0.0018092399 0.010841515 0.00076862524 0.03564453 0.00094778545 0.011932257 0.00057089917 0.00074820284 0.0013478791 0.00033975462 0.00029334007 0.0007983306 0.0009635664 0.000898586 0.00042422913 0.00035739216 0.0011520096 0.00049477926 0.0003954521 0.0004409384 0.0010424712 0.0005114885 0.00041216135 0.0005374807 0.0011993524 0.0011612924 0.0003963804 0.00064980396 0.0011065233 0.0007268521 0.00045579104 0.00030447956 0.0011900695 0.00047528517 0.00035089414 0.00040102185 0.00092086504 0.0025982875 0.0003564639 0.00036203364 0.0016430757 0.00040380674 0.0003555356 0.0004297989 0.0009134387 0.00058575184 0.0010109093 0.0008893031 0.0025110282 0.00082896417 0.0004297989 0.00044557985 0.00091993675 0.0005142734 0.0005179866 0.0004808549 0.007537726 0.004185666 0.0036370456 0.0034439608 0.0031125608 0.00044836474 0.0041494626 0.0049477927 0.002587148 0.00328151 0.0008670241 0.0010925989 0.013589257 0.0004418667 0.001940129 0.0016031591 0.002084014 0.0008865182 0.0011928544 0.00057739724 0.0011538662 0.0003527507 0.0006990034 0.0005514051 0.0018408018 0.00081968127 0.0004725003 0.0010861009 0.001436995 0.0006154572 0.000493851 0.00042422913 0.002813651 0.0005792538 0.0005996762 0.0007862628 0.0022566763 0.002153636 0.00050684705 0.00036760338 0.015752176 0.0033474185 0.00049849245 0.0034012594 0.005906718 0.000353679 0.0027347463 0.000618242 0.006110942 0.0016932035 0.0006860073 0.0008874465 0.002769093 0.0006163855 0.0034318932 0.0018045984 0.003877473 0.0017572555 0.0017266219 0.002169417 0.0063012415 0.003469953 0.004419595 0.10657434 0.052338548 1.3937619e-06 9.291746e-07 0.0 4.645873e-07 0.0 0.0 0.0 0.0 0.0 1.8583492e-06 4.1812855e-06 3.2521111e-06 2.7875237e-06 1.8583492e-06 0.008539114 0.0009449706 3.3450284e-05 6.7829744e-05 0.00014773876 0.00027131898 0.00027968155 2.6481475e-05 2.415854e-05 3.2056523e-05 3.437946e-05 2.9733586e-05 3.1591935e-05 5.5285887e-05 3.3914872e-05 9.4311225e-05 0.020728491 0.0009779562 3.6702397e-05 9.198829e-05 0.00022811236 0.00033171533 0.00038235536 3.6702397e-05 5.296295e-05 4.645873e-05 3.577322e-05 4.8781665e-05 4.134827e-05 3.8096157e-05 3.6702397e-05 0.00012636774 0.021274846 0.0025241028 7.5263146e-05 6.22547e-05 0.00022764778 0.00013333655 0.00016864519 2.8804412e-05 2.2764778e-05 3.0662763e-05 3.0662763e-05 2.7875238e-05 3.0662763e-05 4.5994144e-05 3.3914872e-05 4.9246253e-05 0.005071435 0.0015809906 4.134827e-05 4.413579e-05 0.00011103637 0.0001059259 0.00013101361 2.5552301e-05 3.3450284e-05 7.061727e-05 2.4623127e-05 7.386938e-05 1.6725142e-05 3.0198174e-05 2.6481475e-05 0.00011103637 0.0032818448 0.003111341 0.00017422024 8.7807e-05 0.00010824884 0.00010035086 6.9223504e-05 4.2277443e-05 3.0198174e-05 3.0198174e-05 1.7654318e-05 8.7807e-05 2.1835604e-05 5.2498366e-05 3.623781e-05 0.00011846976 0.0016204804 0.006742091 0.00025366468 0.00029083164 0.00018955162 0.0004947855 0.00017236189 0.00032381734 0.00024344375 8.594865e-05 8.130278e-05 0.00017236189 9.895709e-05 5.5285887e-05 5.342754e-05 0.00021371015 0.002897631 0.03653747 0.00087528245 0.0010532194 0.0005249836 0.004203121 0.00058445084 0.0010425339 0.0008446197 0.0006179011 0.0010067606 0.0014546228 0.00045854767 0.00047620197 0.00035355095 0.0011159386 0.005939284 0.016638264 0.0005008251 0.0005036126 0.00044739756 0.0021956395 0.00071871653 0.0013575241 0.000833005 0.00036702395 0.0002197498 0.0012729692 0.00024483752 0.00026527935 0.00023786869 0.0012776151 0.0024153893 0.013758289 0.00059838843 0.001082953 0.0022653276 0.004611029 0.0025231736 0.009381412 0.0041399375 0.0005105814 0.00032335275 0.00043671206 0.00021835603 0.00028804413 0.00018165364 0.00041952232 0.0011261596 0.0135009065 0.00045994142 0.0015633362 0.002621666 0.004225886 0.0022913446 0.007426428 0.0035698889 0.0006722578 0.00041069518 0.00031638396 0.00028618576 0.00037585112 0.00022253732 0.00027317734 0.0007939797 0.014322298 0.0020200256 0.0021375662 0.022256054 0.005333927 0.0024469814 0.0037636217 0.0028214387 0.0018927286 0.0017250127 0.0017389503 0.0015958573 0.0019401165 0.0016316306 0.0017301231 0.0021013285 0.018449226 0.0016901686 0.0015498633 0.0017984174 0.0054570423 0.003802647 0.0031596583 0.0037078713 0.008673845 0.0008887555 0.00069037674 0.0011396327 0.0053827083 0.0008009485 0.0028962372 0.007467312 0.087244846 0.012394724 0.0105085 0.009578397 0.02907666 0.026135823 0.012154997 0.017820176 0.05704714 0.0037826698 0.004181286 0.0055727246 0.03608589 0.0063699563 0.023109965 0.045235008 0.03227813 0.007004583 0.0046630627 0.0058658794 0.012866745 0.012551755 0.0051113893 0.010812805 0.023157354 0.0017682193 0.0020530112 0.0030198174 0.011728971 0.0045678224 0.01109899 0.019862501 0.00021789144 5.342754e-05 5.1104602e-05 4.274203e-05 4.971084e-05 4.5064968e-05 4.460038e-05 4.5994144e-05 5.9467173e-05 4.2277443e-05 4.3671207e-05 5.2033778e-05 4.831708e-05 4.2277443e-05 4.7387904e-05 6.550681e-05 3427.0 18.119638 62096.0 0.010660912 0.0021257407 0.001159495 0.00074078847 0.016732156 0.0011111827 0.0008857253 0.0014815769 0.0053787683 0.00080520485 0.00091793353 0.0011917031 0.005153311 0.000998454 0.007118011 0.0011433909 0.019051146 0.015379412 0.013446921 0.014139397 0.020822598 0.013769003 0.0145097915 0.015508246 0.017263591 0.01587864 0.010805849 0.012528988 0.01603968 0.009936227 0.013527442 0.02013012 0.045381345 0.011868719 0.002013012 0.012480675 0.008358026 0.0048956457 0.0053626643 0.004187065 0.00900219 0.0052338317 0.00082130893 0.00096624583 0.008003736 0.0030597784 0.0035590054 0.0028987373 0.011659366 0.0026088636 0.0034462768 0.007633342 0.011063514 0.0056847464 0.012416258 0.007488405 0.007182427 0.001674826 0.00078910077 0.0015459933 0.004444731 0.0016265138 0.002157949 0.015910847 0.00463798 0.038762562 0.012335738 0.030404534 0.027103195 0.05362664 0.009694667 0.0062000775 0.007923216 0.022384694 0.003478485 0.006618784 0.031145323 0.008808941 0.029132312 0.028713604 0.011627158 0.0009340376 0.03058168 0.023415357 0.038053982 0.01462252 0.0035590054 0.0029148415 0.0069891782 0.010789745 0.001175599 0.0005636434 0.004348106 0.00069247617 0.0015943056 0.0014010564 5.944339 0.0 1.0 0.0 3.0 1077248.0 1114112.0 1.0 0.0 437.0 1.0 1.0 0.0 0.0 0.0 1400930300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6.0 0.0 6.0 0.0 640512.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -46080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166912.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -640512.0 0.0 128512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.528497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8110003 0.0 0.0 -0.58958554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2587743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5819774 0.0 3.20729 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166622.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -640124.0 0.0 128056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 1.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 2.0 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 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 1.0 1.0 -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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 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 -1.0 2.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 2.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 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 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -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 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 1.0 -2.0 1.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -2.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 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 1.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 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 -1.0 0.0 0.0 -1.0 -2.0 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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -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 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 1.0 -1.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 320.0 803532.0 128056.0 872448.0 0.0 0.0 0.0 0.0 45892.0 1003520.0 56.0 649264.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 731912.0 0.0 0.0 1808.0 647168.0 0.0 0.0 0.0 0.0


Input: 0.00852337 0.004069821 0.0039248173 0.0038876825 0.0039407327 0.0040362226 0.0038682309 0.003990246 0.0040194234 0.0038974083 0.0038364008 0.0039610686 0.004582638 0.003928354 0.0038779567 0.0039195125 0.005064509 0.0038452426 0.0038443583 0.003900945 0.0038487792 0.003992014 0.0038089915 0.0037638992 0.0038885667 0.003805455 0.0038576208 0.0038814934 0.003928354 0.0038249067 0.0039292383 0.003873536 0.0039027133 0.004048601 0.0038912192 0.0038894508 0.0039292383 0.0037983817 0.00387442 0.003820486 0.0039248173 0.003900061 0.0037656676 0.0039044817 0.0038576208 0.0037700883 0.003805455 0.003922165 0.0039619524 0.0037983817 0.003854084 0.0039097867 0.0037753934 0.0037851192 0.0038823774 0.003806339 0.0039769835 0.0039619524 0.0037913083 0.0038823774 0.0039027133 0.0037506367 0.0038116442 0.00398052 0.0040768944 0.0038116442 0.0038408216 0.0038664625 0.0038682309 0.0040848516 0.0038364008 0.003869115 0.0038257907 0.0038567367 0.0038876825 0.0038381692 0.0038558524 0.003974331 0.003773625 0.0038620417 0.0039416165 0.0038991766 0.0038673466 0.0038337484 0.0039195125 0.0038142966 0.0038814934 0.0038814934 0.0038814934 0.003938964 0.0038523157 0.0038708833 0.0038107599 0.0038876825 0.003774509 0.0038947558 0.003937196 0.0038310958 0.0039504585 0.0039044817 0.00389564 0.0038947558 0.0039416165 0.0037842349 0.003926586 0.003880609 0.0039460375 0.003942501 0.0038355167 0.0038894508 0.0038346325 0.0037338375 0.0038655782 0.0038664625 0.003890335 0.003858505 0.0039133234 0.00405479 0.0037081966 0.003858505 0.0038249067 0.0038823774 0.0038841458 0.0038116442 0.00383198 0.0038885667 0.0038372849 0.0038187176 0.0038823774 0.0039027133 0.0038293274 0.003981404 0.0037877716 0.0038885667 0.0038929875 0.0037356059 0.0038346325 0.004029149 0.0037391423 0.0043810476 0.003920397 0.003995551 0.00394869 0.0038142966 0.0039035976 0.0038240224 0.003816065 0.004007929 0.00383198 0.0038673466 0.003794845 0.00393808 0.0039195125 0.003822254 0.0038726516 0.0039610686 0.0039681415 0.0038673466 0.00387442 0.0038982925 0.0039212806 0.00382137 0.0038107599 0.0039035976 0.0038779567 0.0038240224 0.0038072234 0.003885914 0.0038337484 0.003854084 0.0038355167 0.0037904242 0.0038576208 0.003805455 0.0038505474 0.003847895 0.0037090809 0.003910671 0.003816065 0.0037851192 0.003869115 0.0037868875 0.003779814 0.0039142077 0.0038726516 0.0038505474 0.0038372849 0.0037913083 0.0038364008 0.0038629258 0.003847895 0.0037983817 0.0039018292 0.0038487792 0.003847895 0.0039663734 0.0038965242 0.0039849407 0.0038028024 0.0039990875 0.0038867984 0.0039257016 0.0037886559 0.0038310958 0.0043341867 0.0039363117 0.0038523157 0.0038770726 0.003920397 0.0039778673 0.0039150915 0.0038337484 0.0038761883 0.0038302117 0.0038699992 0.0037842349 0.003908018 0.0037762774 0.0037515208 0.0038372849 0.0038098758 0.0038832617 0.003938964 0.0038620417 0.0038982925 0.0038753042 0.0039195125 0.003880609 0.003795729 0.0038098758 0.0040141186 0.003922165 0.0041732686 0.0038346325 0.0038231383 0.0038196016 0.0039177444 0.0038231383 0.0038169492 0.0038965242 0.003953995 0.003915976 0.003879725 0.0039398484 0.003926586 0.0037727407 0.0038452426 0.0038770726 0.0038841458 0.003806339 0.0038036867 0.0039133234 0.0038231383 0.0038505474 0.003918628 0.004525167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006179879 0.00011067118 2.7003769e-05 3.098793e-06 3.9841625e-06 3.5414778e-06 4.426847e-06 3.098793e-06 2.2134236e-06 1.9478128e-05 3.098793e-06 3.5414778e-06 2.6561083e-06 3.9841625e-06 3.098793e-06 9.473453e-05 0.0012554539 0.00022488384 3.2315984e-05 1.6379336e-05 2.7446453e-05 2.9217192e-05 2.3904975e-05 1.5051281e-05 1.3280542e-05 2.523303e-05 1.0181749e-05 1.0624433e-05 1.0181749e-05 1.0181749e-05 1.1509803e-05 9.739064e-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 0.00094114774 0.00024126317 3.364404e-05 6.0205122e-05 3.4972094e-05 2.7003769e-05 2.7003769e-05 2.7446453e-05 3.3201355e-05 2.4790344e-05 2.7446453e-05 2.1248867e-05 3.275867e-05 2.4790344e-05 0.000121738296 0.00013457616 0.0008229509 0.00012970662 4.6481895e-05 0.00011465534 6.4189284e-05 4.9138005e-05 6.1533174e-05 5.0908744e-05 6.4189284e-05 2.7003769e-05 2.5675714e-05 3.8070888e-05 0.00013147737 2.3462291e-05 0.00010845776 5.533559e-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 0.0013112321 0.0004581787 0.00020629108 0.000117754134 0.00018105806 0.00018238611 0.00019788007 0.00018238611 0.0002687096 0.00010358822 0.00010093212 0.0001421018 0.0005387473 9.3406474e-05 0.00017353242 0.00027490722 0.0010996289 0.00046172016 0.00022576921 0.00016113724 0.0003417526 0.00035901731 0.00016644946 0.0002983695 0.0006604856 9.3849165e-05 7.791251e-05 0.00010358822 0.00036654295 0.00018459953 0.00031607688 0.0005228107 0.06193956 0.06143313 0.061453935 0.061387975 0.061483152 0.061301652 0.06165757 0.061239235 0.061538044 0.06188157 0.061318032 0.060971852 0.061622158 0.061472528 0.0615106 0.06146987 5197.0 5.6182413 29198.0 0.010069183 0.01048017 0.00982944 0.010514419 0.010171929 0.011713131 0.01143914 0.010582916 0.012158367 0.009555449 0.009589698 0.010069183 0.010514419 0.00982944 0.010651414 0.009178711 0.011267895 0.010514419 0.009658196 0.010343174 0.010308925 0.010171929 0.010445921 0.0095212 0.011165149 0.010000685 0.010925406 0.010856908 0.010343174 0.0109939035 0.009897938 0.0116446335 0.01048017 0.010171929 0.010959655 0.010000685 0.011199397 0.009932187 0.010685664 0.010274677 0.011370642 0.011165149 0.01048017 0.009897938 0.010856908 0.011199397 0.009897938 0.010651414 0.01048017 0.010274677 0.012021371 0.0107541615 0.011576136 0.009932187 0.01078841 0.010582916 0.010034934 0.009966436 0.0094527025 0.010514419 0.01078841 0.010343174 0.0101034315 0.011130899 0.011233646 0.0107541615 0.010582916 0.010445921 0.009623947 0.010445921 0.01048017 0.0101034315 0.009760942 0.010377423 0.009555449 0.0096924445 0.009932187 0.011199397 0.010171929 0.010445921 0.011130899 0.009966436 0.010445921 0.00921296 0.010069183 0.010411672 0.009075964 0.010000685 0.010171929 0.010582916 0.010856908 0.010377423 0.010377423 0.009932187 0.010034934 0.010171929 6.582535 1.0 0.0 0.0 19.0 1131008.0 1122304.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 1526911600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 817664.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -52224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 202752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -817664.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.169925 0.0 0.0 -7.9962397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9671807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.992234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9990644 0.0 7.8366213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -52096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 202338.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -817599.0 0.0 1368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 1020624.0 180.0 1020728.0 1368.0 1064960.0 0.0 0.0 30720.0 1100288.0 52096.0 1069056.0 84.0 923648.0 0.0 0.0 0.0 0.0 24.0 923828.0 64.0 923736.0 0.0 0.0 888.0 823296.0 0.0 0.0 0.0 0.0


Input: 0.19151856 0.0060313297 0.0040801927 0.003005725 0.0058275685 0.003169728 0.002734375 0.002964973 0.007354286 0.0026816954 0.0025624204 0.0024242606 0.005124841 0.00289639 0.0023984176 0.005806695 0.005209327 0.0026697677 0.0023417622 0.0023079675 0.0034410784 0.0027284112 0.002295046 0.002184717 0.0029311785 0.002347726 0.002226463 0.0022930582 0.0025544688 0.0021996263 0.0022344147 0.0022940522 0.003673664 0.002183723 0.0023507078 0.0024023934 0.0038187818 0.0021042065 0.002138001 0.0022672154 0.00266281 0.0021817351 0.0021300493 0.0026091365 0.0024431457 0.0029480758 0.0022801368 0.0022185114 0.0032949666 0.0025932333 0.002804946 0.0042173583 0.002692629 0.0026469068 0.0024779341 0.002549499 0.0029212388 0.0026936228 0.0026966047 0.0036209845 0.0029361483 0.0031349396 0.0028119036 0.0040344703 0.0042441953 0.0032243957 0.0036686943 0.0026598282 0.005885218 0.014126114 0.0028099157 0.002482904 0.0031369275 0.0023348043 0.0026021788 0.0021896868 0.0025226623 0.009227894 0.0023626352 0.0022811308 0.0055184476 0.004064289 0.00321545 0.0026856712 0.002783079 0.0073880805 0.0032681297 0.0029540395 0.002550493 0.0032830392 0.0021817351 0.0022940522 0.0023397743 0.0034082776 0.0027900366 0.0028158794 0.0024342001 0.0031587945 0.0023487199 0.00266281 0.0037134225 0.003765108 0.003540474 0.002390466 0.003489782 0.0029808762 0.0037959209 0.0023020038 0.0035673107 0.0025117288 0.0030315681 0.003262166 0.0028437101 0.0021389949 0.0036905613 0.0033257792 0.005724197 0.0050890585 0.002365617 0.00234375 0.0025932333 0.0024153148 0.0022135417 0.0021300493 0.0024342001 0.0025316079 0.0022880884 0.002458055 0.003541468 0.0026747375 0.0021429707 0.0070888996 0.002760218 0.005257037 0.0021439646 0.0021191158 0.002943106 0.0101264315 0.002688653 0.022292461 0.0024332062 0.006769839 0.0021181218 0.001994871 0.0024988072 0.0020475509 0.002114146 0.0023010098 0.0023815203 0.0028784988 0.002091285 0.0021012246 0.0023705869 0.0022364026 0.002066436 0.0021668258 0.0024013994 0.0020833334 0.0020137564 0.002249324 0.0024332062 0.0029570214 0.002042581 0.0025614265 0.0023318224 0.0020892972 0.0021290553 0.0021171279 0.0024143208 0.0021469465 0.0021936626 0.002113152 0.0023646231 0.0021399888 0.002186705 0.0020505327 0.002570372 0.0021539042 0.0020773695 0.0020783634 0.0024709764 0.002138001 0.0032701178 0.0022861005 0.0029470818 0.002183723 0.0021986323 0.002091285 0.0025256441 0.002295046 0.002299022 0.002368599 0.004693464 0.0031548187 0.003075302 0.0036577608 0.0037869753 0.002527632 0.0032830392 0.0046755727 0.0032989425 0.0028069338 0.002226463 0.0021717956 0.011331107 0.0021708016 0.0022423663 0.0022423663 0.0028814806 0.0023934478 0.0024630248 0.002247336 0.0027751273 0.0021886928 0.0022373965 0.0021668258 0.003125 0.0023417622 0.0021042065 0.0023526957 0.0029003657 0.0023149252 0.0021399888 0.0021628498 0.00321545 0.0021409828 0.0022135417 0.0021052004 0.0031220182 0.003006719 0.0021996263 0.0021638437 0.008708055 0.003287015 0.0022900763 0.003978809 0.0056248014 0.0021717956 0.0022085719 0.002278149 0.004347567 0.0022682094 0.002156886 0.0023049857 0.003724356 0.0021876988 0.0025922393 0.0026995866 0.0040563373 0.0024163087 0.0024650127 0.002182729 0.0053534512 0.002457061 0.0046328325 0.021755725 0.117227316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009009063 3.484168e-06 1.990953e-06 6.570145e-05 2.9864298e-06 3.981906e-06 4.4796443e-06 1.990953e-06 1.990953e-06 3.981906e-06 2.9864298e-06 3.981906e-06 4.9773826e-06 4.9773826e-06 6.470598e-06 4.4796443e-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 0.0008182817 1.1447981e-05 1.443441e-05 1.1447981e-05 1.5927624e-05 1.1447981e-05 9.457027e-06 1.2941196e-05 1.7918577e-05 9.954765e-06 1.5429887e-05 1.1447981e-05 1.1447981e-05 2.0905007e-05 9.954765e-06 1.69231e-05 0.006228697 0.00012294136 0.00029665203 6.76924e-05 0.0005823538 8.013586e-05 0.0005370596 0.00024638046 2.3393699e-05 0.00011796397 2.5882391e-05 2.6877868e-05 2.5384652e-05 6.520371e-05 6.6199194e-05 0.00066149415 0.009330104 0.00036733085 0.00051466137 0.00021203651 0.0010347979 0.00028122214 0.0008785081 0.000509684 8.162908e-05 0.00016226267 5.126704e-05 5.3755735e-05 5.773764e-05 8.511324e-05 8.113134e-05 0.00056991033 0.0061157104 0.00012642553 0.00061072485 0.00014135767 0.0008506347 0.00020257948 0.0019785096 0.0010467436 6.570145e-05 0.00011398207 7.466074e-05 8.511324e-05 8.8099674e-05 7.3665266e-05 9.656123e-05 0.00056194654 0.0076741287 0.00037181049 0.00077448075 0.00044298708 0.0017395953 0.0005509963 0.0027490086 0.0015922647 0.00014285088 0.0001886428 0.00010104087 0.00029167463 0.000108506945 0.00012244361 0.0001144798 0.00036434442 0.0073705083 0.00029466106 0.00069434487 0.000785431 0.0017828986 0.0005853402 0.002622583 0.001677378 0.00017968351 0.00021502294 0.00017719483 0.00019312245 0.00026628998 0.0001353848 0.00012244361 0.00022696865 0.0032591901 0.00053905055 0.0006983268 0.006777702 0.0007590509 0.0005007247 0.0007754762 0.0009233045 0.0005370596 0.000509684 0.00045941243 0.00047633552 0.0005066976 0.0005032134 0.0005813583 0.00054203696 0.009351507 0.0011851148 0.00053257996 0.0009287796 0.004642903 0.0027758863 0.0009790512 0.0006983268 0.0077293776 0.000540046 0.00053556636 0.0006176932 0.0035165208 0.0007515848 0.0026838048 0.0053447136 0.035659462 0.0053352565 0.0033248917 0.004022223 0.018228669 0.012657484 0.004497563 0.005104804 0.030929457 0.0020720845 0.0023179671 0.0032318146 0.016640386 0.0033293713 0.011553003 0.020504327 0.013715178 0.0028226739 0.0019954327 0.0031865204 0.0048653916 0.0047364775 0.0024224923 0.0036578786 0.008301777 0.0008934402 0.0012976037 0.0017206812 0.0049111834 0.002105433 0.0040874267 0.007578065 0.031926923 0.031124072 0.030998642 0.031554118 0.031340588 0.031232579 0.031556606 0.031168371 0.031189276 0.031227602 0.03126742 0.031293802 0.031279366 0.03165466 0.031387378 0.031327646 3423.0 9.174993 31406.0 0.023466853 0.004489588 0.005285614 0.004648793 0.01244985 0.004521429 0.0051264088 0.006845826 0.007132395 0.0047761574 0.005381137 0.0042348597 0.0074189645 0.00455327 0.009488633 0.005381137 0.012895625 0.010380182 0.011908553 0.010539387 0.01244985 0.011208049 0.010443864 0.009679679 0.011685665 0.009743361 0.012418009 0.012067758 0.0141055845 0.011303573 0.012863784 0.017226009 0.028338535 0.010125454 0.0056040245 0.008023945 0.00850156 0.0061771637 0.0067503024 0.0066547794 0.007546329 0.0061134817 0.004616952 0.0048716804 0.007864739 0.005317455 0.0048079984 0.0048716804 0.011590142 0.0060179583 0.0063363686 0.008278673 0.009424951 0.0078010573 0.010953321 0.009011017 0.009361269 0.005635866 0.005731389 0.0054129786 0.0062408457 0.005253773 0.0048716804 0.012672737 0.0073234416 0.025122589 0.011271732 0.01763994 0.019072788 0.036330637 0.010061772 0.008851812 0.009775202 0.023275807 0.0063363686 0.0059861173 0.022225052 0.010825957 0.022002164 0.032000255 0.012768261 0.0054129786 0.023817105 0.02458129 0.034961473 0.012322486 0.0073871235 0.005349296 0.010443864 0.008151309 0.0047124755 0.005062727 0.006431892 0.004489588 0.00455327 0.00455327 6.3272347 0.0 0.0 0.0 15.0 1006080.0 1019904.0 1.0 0.0 75.0 1.0 1.0 0.0 1.0 0.0 1542294000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 274432.0 1024.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -636928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 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 -7.144576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.981759 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4852347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.340776 0.0 6.14849 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -636676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79162.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273930.0 0.0 5848.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 355952.0 5848.0 372736.0 0.0 0.0 0.0 0.0 14084.0 380928.0 28.0 332016.0 0.0 0.0 0.0 0.0 24.0 332208.0 64.0 332048.0 0.0 0.0 304.0 278528.0 0.0 0.0 0.0 0.0