Input: 0.12505959 0.051814657 0.051902473 0.059031263 0.04883518 0.0707359 0.050168104 0.055233214 0.0010757477 0.00088757026 0.00075270975 0.0007025291 0.001003613 0.0048424327 0.004716981 0.0014834654 0.0038325472 0.00065548474 0.0006021678 0.00082484446 0.0009847953 0.0085903 0.0007997541 0.00072448316 0.004974157 0.0007370283 0.000733892 0.0046824818 0.0009032517 0.0007652549 0.0006993928 0.00069312024 0.0055825976 0.00064921216 0.0006680299 0.00064921216 0.0076023685 0.0046605277 0.0006460759 0.004632301 0.0009597049 0.00078720896 0.0047640256 0.0007621186 0.0009440235 0.00065234845 0.000884434 0.004851842 0.0020793607 0.0013078332 0.0049616117 0.00088757026 0.0010851566 0.0009346146 0.000809163 0.00089070655 0.00403327 0.0009095243 0.0011259284 0.008866293 0.0012701977 0.00483616 0.004870659 0.00081543555 0.00092834205 0.0009910678 0.00475148 0.00093147834 0.0030453382 0.00083111704 0.004629165 0.00068998395 0.0009408872 0.000658621 0.004607211 0.0046981634 0.0017782768 0.00078720896 0.0007056654 0.004732663 0.0048612505 0.0046573915 0.0006805751 0.00084993476 0.0016245985 0.0009785227 0.00069312024 0.0007370283 0.004911431 0.0046134833 0.0006429396 0.0007370283 0.0011384735 0.00067116617 0.0008656162 0.00072448316 0.00075584603 0.00095656863 0.000733892 0.0010412484 0.0011698364 0.0015399187 0.0008467985 0.0008373896 0.0010663389 0.0053034676 0.00058962265 0.0007056654 0.0009220695 0.0046448465 0.0009722501 0.005102745 0.0049020224 0.004610347 0.0011855179 0.0050337464 0.0019946808 0.000658621 0.004629165 0.0007370283 0.00091579685 0.0007025291 0.004629165 0.00069312024 0.0011478824 0.0005833501 0.0006993928 0.0046354374 0.0009440235 0.0010757477 0.0008593436 0.0011353372 0.005726867 0.0046009384 0.00078720896 0.0006335307 0.005209379 0.004271628 0.0009032517 0.0075678695 0.0011572912 0.0008217082 0.00059275894 0.0005990315 0.0009346146 0.0006993928 0.004735799 0.00068684766 0.0050023836 0.0006209855 0.00064921216 0.0005990315 0.0007652549 0.004669937 0.00062725815 0.0006021678 0.0007840727 0.00063039444 0.0006837114 0.004588393 0.0008750251 0.0006398033 0.0005457146 0.00064921216 0.0008373896 0.000658621 0.00062412187 0.0006398033 0.00071507425 0.0046824818 0.0046354374 0.00061471295 0.00075270975 0.00064921216 0.0006617573 0.004695027 0.0008718888 0.008627935 0.0005802138 0.0046134833 0.0010224307 0.0006021678 0.004691891 0.0006460759 0.0008342533 0.0046573915 0.0007213468 0.00062725815 0.0010067493 0.0005802138 0.00072761945 0.0045789843 0.0009597049 0.000809163 0.0047389353 0.00079348154 0.0007088017 0.00053003314 0.0008217082 0.0014646477 0.0047546164 0.004792252 0.004704436 0.0007088017 0.005212515 0.0046636644 0.004691891 0.004629165 0.0008373896 0.0008718888 0.0007056654 0.0048298878 0.0007746638 0.0006743025 0.000658621 0.0006460759 0.0006743025 0.00078720896 0.00072761945 0.0005425783 0.0007433009 0.0007025291 0.00062725815 0.00062412187 0.0006993928 0.0006993928 0.0046793455 0.000636667 0.00082484446 0.00072761945 0.0047389353 0.0006053041 0.0048392965 0.0008060267 0.0006962565 0.000658621 0.00074957346 0.004607211 0.00065548474 0.004585257 0.00078720896 0.0006774388 0.0007621186 0.0005582597 0.0007621186 0.0005833501 0.0047734343 0.0009471598 0.0008812977 0.00081543555 0.0007213468 0.00062412187 0.0007370283 0.0007056654 0.0008217082 0.0019225462 0.14186145 3.1502016e-06 6.300403e-06 4.7253025e-06 6.300403e-06 6.300403e-06 4.7253025e-06 9.450605e-06 4.7253025e-06 4.7253025e-06 3.1502016e-06 4.7253025e-06 7.875504e-06 1.5751008e-06 4.7253025e-06 1.5751008e-06 0.037238535 8.505544e-05 0.00010238155 0.00018901209 0.00010080645 9.135585e-05 7.402974e-05 0.00011813256 8.348034e-05 9.2930946e-05 8.0330145e-05 0.00012128276 0.00014963458 3.4652217e-05 9.923135e-05 4.8828126e-05 0.020953566 0.0001953125 9.135585e-05 0.0001937374 0.00011025705 0.00010238155 0.00011498236 9.923135e-05 0.00010238155 9.135585e-05 8.348034e-05 8.663054e-05 0.00011340726 5.985383e-05 9.765625e-05 8.505544e-05 0.02875819 0.000218939 0.00024414062 0.00023311492 0.00026619204 0.0002047631 0.00016381049 0.00026934224 0.00023469001 0.00026304185 0.00015278478 0.00028666834 0.000359123 0.00016696069 0.00024414062 0.0001921623 0.016253466 0.00014333417 0.0001811366 0.0001795615 0.00031817035 0.00023941533 0.00048828125 0.00033549647 0.00014963458 0.00028981853 0.00011970766 0.00016381049 0.00018586189 8.663054e-05 0.00012443296 9.608115e-05 0.038790006 0.0008820564 0.00069934473 0.0009623866 0.00068516884 0.0005418347 0.00086473033 0.00082850305 0.0005245086 0.00054656 0.00044890374 0.0006284652 0.0007371472 0.00033234627 0.0005686114 0.00034652217 0.029678049 0.0009466356 0.0006284652 0.0010726437 0.0006001134 0.00049930695 0.00044417844 0.00064894155 0.0005323841 0.0005339592 0.00045520414 0.00068359374 0.0007844002 0.00031186995 0.0005607359 0.00032919607 0.016358998 0.0004048009 0.00051190774 0.00048355595 0.00050403224 0.00042370212 0.00031186995 0.00050403224 0.00045205394 0.0003559728 0.00030714466 0.00050245714 0.00065996725 0.00017011088 0.00045047884 0.0001795615 0.027934413 0.002767452 0.0011655746 0.0029328377 0.0011041457 0.00078125 0.0013341104 0.0011734501 0.0008741809 0.0007245464 0.000530809 0.00083165325 0.0011513986 0.0004016507 0.00074817287 0.0007056452 0.021126827 0.00084267894 0.0009513609 0.0026902722 0.0009608115 0.00083480345 0.00085527974 0.001061618 0.0007938508 0.00074659777 0.00067571824 0.0010112147 0.0011592741 0.00045992943 0.00086158013 0.00045205394 0.018173514 0.0008883569 0.0011025706 0.0010679184 0.0010679184 0.0008836315 0.00069146923 0.0012238533 0.00087103073 0.0009009577 0.0007245464 0.0012474798 0.0015719506 0.00037329888 0.0010899698 0.00037959928 0.031457912 0.0020082535 0.00234375 0.0038857737 0.002326424 0.0020366053 0.0016365297 0.0027107485 0.0019625756 0.0019988029 0.0016837828 0.0027075983 0.0034447454 0.0009954637 0.0023311493 0.0009860131 0.030120652 0.002391003 0.0028005291 0.0027737524 0.0027249244 0.0024256553 0.0019420993 0.0031801285 0.0024177798 0.002468183 0.0021626134 0.0030966483 0.003766066 0.0013404108 0.0027879283 0.001343561 0.031616997 0.0038211946 0.009244267 0.0043961066 0.006215348 0.0046087448 0.0038621472 0.004982044 0.010600428 0.0034967237 0.0027800528 0.004504788 0.006437437 0.0025689895 0.003985005 0.0033313383 0.021577306 0.0039739795 0.0063240295 0.004950542 0.0052891886 0.0041314894 0.004501638 0.005350617 0.0058830017 0.0033360636 0.0029501638 0.0042874245 0.0056042084 0.0022397933 0.0040102066 0.002687122 0.016818926 0.011562815 0.013289126 0.013586819 0.013360005 0.011537613 0.009786101 0.015253277 0.011359627 0.011432081 0.009707347 0.015250126 0.018946888 0.005831023 0.013216671 0.0058357483 364.0 11.32967 4124.0 0.020368574 0.0046071773 0.0031522794 0.0036372454 0.012609118 0.0053346264 0.0031522794 0.0033947623 0.006304559 0.0038797285 0.0026673132 0.0050921435 0.008729389 0.0048496607 0.019398643 0.015033947 0.04655674 0.024975752 0.015518914 0.012851601 0.015276431 0.010669253 0.008971872 0.008971872 0.015033947 0.008729389 0.012124151 0.010669253 0.012851601 0.0094568385 0.009941804 0.009214355 0.008244423 0.016246364 0.0038797285 0.01842871 0.019641126 0.0055771098 0.0019398642 0.006304559 0.00800194 0.007032008 0.0026673132 0.006304559 0.009214355 0.009699321 0.0050921435 0.012609118 0.009214355 0.0036372454 0.008244423 0.010911737 0.008971872 0.0038797285 0.0029097963 0.0053346264 0.00800194 0.0033947623 0.0048496607 0.0031522794 0.008244423 0.0021823472 0.0036372454 0.0053346264 0.0075169737 0.012366635 0.0067895246 0.026915615 0.025218235 0.031765275 0.007759457 0.014306499 0.014548982 0.031765275 0.0026673132 0.0031522794 0.01770126 0.013336566 0.012124151 0.02400582 0.014064016 0.0029097963 0.028370515 0.018186226 0.0400097 0.006304559 0.0041222116 0.00800194 0.0094568385 0.0050921435 0.0038797285 0.0033947623 0.0065470417 0.0050921435 0.0026673132 0.0031522794 6.2043343 0.0 17.0 0.0 1.0 318848.0 315392.0 1.0 0.0 12.0 1.0 1.0 1.0 0.0 0.0 1348271100.0 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 8.0 0.0 5.0 0.0 5.0 0.0 20480.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -266240.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -20480.0 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 -5.9550295 0.0 0.0 -6.0133934 0.0 0.0 0.0 0.0 0.0 4.325786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2906513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.062915 0.0 3.4574833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2152.0 0.0 0.0 -262380.0 0.0 0.0 0.0 0.0 0.0 676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19208.0 0.0 3312.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29534.0 0.0 180.0 36944.0 3312.0 307200.0 0.0 0.0 7552.0 311296.0 2152.0 311296.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.19429007 0.027159179 0.0112614855 0.008474633 0.006269675 0.004774436 0.0073004393 0.0051333825 0.004479773 0.003928719 0.006498197 0.0036953664 0.003223831 0.0028392454 0.0028596823 0.0028830918 0.0030138881 0.002714766 0.0029328836 0.002700646 0.0024115564 0.0025103968 0.0026779796 0.0030346967 0.0025609317 0.0024736105 0.0022075588 0.0022893066 0.0021900947 0.002189723 0.0023353824 0.0025260032 0.004666306 0.0020841942 0.001990556 0.001886885 0.00209497 0.0020080202 0.0018545575 0.0018961745 0.0026415647 0.0018649618 0.002119866 0.0017144717 0.0020637573 0.0018348638 0.002029572 0.0018270606 0.002196783 0.0018352353 0.0017408539 0.0022138758 0.0017289633 0.0017869299 0.001754974 0.0016944064 0.0016747126 0.00166468 0.001634582 0.0014532508 0.0016200903 0.0015829323 0.0016784284 0.0018006783 0.0016260355 0.0019199556 0.0018103394 0.0021521933 0.0018029078 0.0017572035 0.0015899923 0.0015260805 0.0016100577 0.0019645453 0.0016074566 0.0015784733 0.0017482855 0.0017605476 0.0017401108 0.0014413602 0.0016163745 0.0014573381 0.0016379262 0.0019448515 0.0017271055 0.0015833039 0.0014993267 0.001422038 0.0013952842 0.0015022993 0.0013462356 0.0013603556 0.0013009028 0.0013930547 0.0014948677 0.0018820545 0.0014915235 0.0028894087 0.0017720667 0.0022302251 0.0019597148 0.004501324 0.0016799148 0.0019998455 0.0016494452 0.0029009278 0.001301646 0.0014915235 0.002492561 0.001981638 0.0026854111 0.006521235 0.0025486697 0.0014766603 0.003487653 0.00337172 0.013849914 0.0021109479 0.0016628221 0.0015323973 0.0014305844 0.0015706702 0.0017274771 0.0015851618 0.0014160927 0.0016033691 0.0017542308 0.0021009152 0.0022677549 0.0014473054 0.0013499514 0.0012797227 0.0013677872 0.0013911969 0.0014194369 0.0012841817 0.0013856231 0.001336203 0.0013525524 0.0012934712 0.0012473952 0.0013566399 0.0013280282 0.0013651862 0.001297187 0.0012782364 0.0013852515 0.0013410335 0.0012990449 0.0013001596 0.0013425198 0.0013674157 0.0013521808 0.0013280282 0.0014238959 0.001433557 0.0013239408 0.0014183222 0.0012953291 0.001477775 0.001336203 0.0014049453 0.0015390858 0.0013919399 0.0014302128 0.0014573381 0.0014647697 0.0014331854 0.0013250555 0.0013499514 0.001433557 0.0013778199 0.0014391306 0.0014733161 0.0014424749 0.0014123769 0.0013878526 0.0013982569 0.0014097758 0.0014402454 0.0013090776 0.0013744757 0.0013722462 0.0015216215 0.0013774483 0.0014926383 0.0014525076 0.0018987756 0.0015323973 0.0016152598 0.0015673259 0.001723018 0.0015439163 0.0015357416 0.0014863213 0.0016650516 0.0016234345 0.001459196 0.0016007682 0.0015372279 0.0015431732 0.0015572932 0.0016111723 0.0016119155 0.0022387716 0.0016412704 0.0015524627 0.001717816 0.0015446595 0.0016364398 0.001690319 0.0016914337 0.001660221 0.001750515 0.0017572035 0.0019232999 0.001785072 0.001964917 0.001845268 0.0019820095 0.0020265991 0.002185264 0.0022436022 0.0022554926 0.0023639943 0.0025364074 0.0027597272 0.061011262 0.0074260333 0.035500787 0.0072662537 0.0044619367 0.0031825856 0.0020808498 0.0015702986 0.0018961745 0.0014536224 0.0015862765 0.0015368563 0.0017152149 0.0016182325 0.0020017033 0.001687718 0.0018159131 0.0018296617 0.0018192574 0.0017813562 0.002078992 0.0021261827 0.0023621363 0.0023238636 0.0025185717 0.0030778 0.003387698 0.0051679392 0.14600989 0.021231592 8.921774e-06 4.0891464e-06 1.4683753e-05 4.8326274e-06 7.806552e-06 2.9739247e-06 7.063071e-06 6.50546e-06 3.3456652e-06 1.8587029e-07 3.7174058e-07 9.293515e-07 1.8587029e-07 1.301092e-06 2.2304435e-05 0.0094392365 5.854914e-05 2.8438155e-05 4.6467572e-05 2.007399e-05 2.0817472e-05 1.5055493e-05 2.4534878e-05 1.8772898e-05 9.1076445e-06 5.204368e-06 2.7880544e-06 7.063071e-06 3.159795e-06 7.248941e-06 0.00019070292 0.008634418 0.00013772989 6.449699e-05 5.5203476e-05 2.9553375e-05 2.3419656e-05 1.9702251e-05 4.498061e-05 1.933051e-05 6.1337196e-06 7.806552e-06 4.0891464e-06 1.1523958e-05 1.858703e-06 1.8587029e-05 0.00043772452 0.0101843905 0.00013308313 0.00037304166 8.364163e-05 4.3307777e-05 2.1560954e-05 2.6951191e-05 0.00010390149 3.8103408e-05 1.6356586e-05 1.0036995e-05 1.1523958e-05 2.9739247e-05 9.293514e-06 2.9739247e-05 0.0018278484 0.014577807 0.00018531267 0.00010817651 7.69503e-05 6.263829e-05 3.0668598e-05 3.3270782e-05 6.0593713e-05 2.1003343e-05 1.282505e-05 1.13380875e-05 1.0966347e-05 1.5984844e-05 1.5798974e-05 4.3865388e-05 0.009856516 0.006349887 0.00019813773 0.0004191375 0.000177692 8.661555e-05 7.583508e-05 7.397638e-05 0.00019033118 9.9254736e-05 3.698819e-05 3.0296856e-05 3.159795e-05 4.1263203e-05 4.498061e-05 7.137419e-05 0.0012085286 0.011313738 0.0003477633 0.00015668865 0.0001827105 0.00011282327 0.00016914196 0.00029813594 0.0050376425 0.000114124356 4.7211055e-05 3.5129484e-05 3.4386005e-05 6.31959e-05 8.642968e-05 0.0002514825 0.011060397 0.013614441 0.0005923686 0.0011540686 0.0002589173 0.0010328812 0.0008189445 0.006597466 0.0036432436 0.00014943971 6.970136e-05 8.438511e-05 0.0001026004 0.000104459104 0.00015464408 0.0005098422 0.0023269102 0.030796848 0.0018780334 0.0019429021 0.0010912445 0.0016345433 0.0014421676 0.0053777853 0.0036164783 0.00077712367 0.00044032672 0.00061708933 0.0005169053 0.00039051348 0.00055593805 0.0051105036 0.005859561 0.03815118 0.0034584885 0.0028865656 0.0018468072 0.0016165139 0.0012646614 0.0039813416 0.0032835845 0.0010958912 0.0008447805 0.0011168945 0.0012609441 0.0013404965 0.001634915 0.018241124 0.015806038 0.04450404 0.005517931 0.003878927 0.0031988276 0.0025648242 0.0018804497 0.0023793257 0.0037454723 0.0018468072 0.0017981092 0.0020810037 0.0022343467 0.0027687238 0.0036443588 0.038691875 0.037239857 0.032028798 0.0059705256 0.0041265064 0.0032101658 0.0029250407 0.0022981002 0.0025772774 0.004114982 0.002034536 0.0021415974 0.0023282112 0.0025399176 0.003126896 0.0037947278 0.035181157 0.036253255 0.022352947 0.0045670187 0.0032854432 0.0027720695 0.0028038532 0.0026356408 0.0026473505 0.004005505 0.0023847157 0.0022836025 0.0025609208 0.0028449306 0.0028434438 0.003596776 0.017157314 0.026321277 0.012672822 0.003454585 0.0025213305 0.0020267295 0.0019451326 0.0018282202 0.002139367 0.0025140815 0.0020317482 0.001947363 0.001963162 0.0020116742 0.0022007043 0.0026878703 0.008070302 0.015078169 0.0064792526 0.0030945544 0.002397355 0.001968924 0.001831194 0.0016488553 0.0019772882 0.0019869534 0.0018014548 0.0014672601 0.0015098243 0.0017005273 0.0021512627 0.0027904706 0.0038123855 0.0060166214 0.01269587 0.011161139 0.011210395 0.011036792 0.010916534 0.010392937 0.011389759 0.010845159 0.010024357 0.0105364295 0.010352418 0.01056431 0.01083029 0.010923969 0.011199242 0.012167069 7400.0 11.632567 86081.0 0.0414958 0.0051927837 0.005936269 0.005471591 0.006482267 0.005762015 0.00505338 0.0046119355 0.005227634 0.0056690793 0.0042285756 0.0048558917 0.0074697086 0.006098907 0.013278192 0.0069120945 0.01087348 0.009316807 0.006389331 0.02411682 0.006644904 0.0067959246 0.0041240226 0.005146316 0.0042169583 0.00413564 0.0053321873 0.0031946655 0.0036709611 0.006308012 0.0051230816 0.0052508684 0.005715547 0.013103937 0.008631405 0.012894832 0.01140786 0.009851187 0.0075742616 0.006110524 0.0051811663 0.013080703 0.004309894 0.004983678 0.010002207 0.009316807 0.0080273235 0.006702989 0.009560763 0.0044957655 0.00880566 0.016693579 0.013289808 0.0062266933 0.005692313 0.0055761435 0.0032527503 0.0036709611 0.0032295163 0.0031481977 0.0028345396 0.0037522798 0.0032876013 0.017204726 0.0022072233 0.03020411 0.013011001 0.018285103 0.014602525 0.06605407 0.008085408 0.016217284 0.0075394106 0.030959213 0.0037638969 0.008050557 0.025162347 0.017367363 0.026904892 0.030924361 0.015229842 0.0029623262 0.032027975 0.026811955 0.05243898 0.017251194 0.0051230816 0.0072489865 0.005401889 0.009909271 0.0029739433 0.001986501 0.0021956065 0.0027299868 0.0021491386 0.0022188404 6.065227 1.0 46.0 0.0 13.0 2691208.0 2711552.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1541785500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 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 80.0 0.0 4.0 0.0 6.0 0.0 2319872.0 512.0 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 -2319872.0 0.0 364544.0 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 -6.114841 0.0 5.623797 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 -2319544.0 0.0 364212.0 0.0 0.0 0.0 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 2327648.0 364212.0 2334720.0 0.0 0.0 5768.0 2685440.0 12.0 2703360.0 28.0 2327336.0 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: 0.14048116 0.006888755 0.005169376 0.003861299 0.004688399 0.003739931 0.0031555668 0.0029060883 0.004967096 0.0029847526 0.0029038407 0.002694818 0.0041512335 0.003724198 0.0033983027 0.0059020785 0.0059717526 0.0085654305 0.00523006 0.0061650425 0.00523905 0.005182861 0.004481624 0.0044299304 0.0047018845 0.008981229 0.004670419 0.0045063472 0.0044928617 0.004268106 0.004445663 0.0059829904 0.0063111335 0.0038568038 0.00400739 0.0033893124 0.0039242306 0.003214003 0.0030297036 0.0031128633 0.003420778 0.0033128955 0.0035016902 0.0032589543 0.0029465442 0.0029442967 0.0028498992 0.0029083358 0.0046389527 0.00267459 0.0027644923 0.0035803546 0.0029060883 0.0027779776 0.002589183 0.0025060235 0.0027689873 0.0026678473 0.0025779451 0.0032184983 0.00277573 0.0024745576 0.002467815 0.0028139385 0.004384979 0.0039691813 0.0041444907 0.0027532545 0.0034410062 0.003910745 0.002694818 0.0025959257 0.003476967 0.0027532545 0.0022632875 0.00226104 0.002730779 0.0033533515 0.0025779451 0.0024745576 0.003825338 0.0025554697 0.0024453395 0.0028746224 0.006625791 0.0027465117 0.0029128308 0.00277573 0.0021778804 0.0030454365 0.0020812356 0.0022520497 0.002265535 0.0028858602 0.002897098 0.0029555343 0.0028049482 0.0028386614 0.0021014635 0.0070528267 0.0029308114 0.0037916247 0.0028004532 0.0022183366 0.002816186 0.0028386614 0.003103873 0.0022453072 0.0028229286 0.0021486622 0.0048457277 0.0040096375 0.004400712 0.00380511 0.0052705156 0.0031600618 0.0055492125 0.0058324044 0.0042119175 0.0042770966 0.004344523 0.002618401 0.0021711378 0.0021756329 0.0022880107 0.002609411 0.003027456 0.004798529 0.0043512657 0.0029959904 0.002730779 0.0050749783 0.0028409092 0.004113025 0.002094721 0.001989086 0.0026970657 0.0041422434 0.0025352417 0.011774939 0.0022093463 0.0039534485 0.002114949 0.0021823756 0.0028543945 0.0020362844 0.0023958932 0.002236317 0.0021082063 0.0020789881 0.0019306495 0.002114949 0.002094721 0.0023194763 0.0020924734 0.0022070988 0.002119444 0.002200356 0.0020744929 0.0023981407 0.002730779 0.00237117 0.0020362844 0.002200356 0.0020565125 0.0019800956 0.001953125 0.0020565125 0.0021846232 0.0021216916 0.0024700626 0.0022677826 0.0020722453 0.0021059588 0.0021127013 0.0023284666 0.002297001 0.0019351445 0.0021531573 0.002114949 0.0020924734 0.0022318219 0.0027420167 0.0025981732 0.0024161213 0.0021441672 0.0022520497 0.002281268 0.002326219 0.0023869032 0.0023509422 0.0028498992 0.004883936 0.0029285636 0.0027465117 0.003214003 0.002443092 0.002099216 0.0025824404 0.0028768699 0.0028881077 0.0023981407 0.0023284666 0.0024655676 0.0073764743 0.0021216916 0.0021868707 0.0023936457 0.0027172936 0.0023846554 0.0024296066 0.00236218 0.0021464147 0.0022767729 0.002503776 0.0027779776 0.0026700948 0.0023599323 0.0025509745 0.0026790851 0.0024857954 0.002402636 0.0025554697 0.0028768699 0.003476967 0.002305991 0.0023981407 0.002382408 0.0030162183 0.0027892154 0.0024768051 0.0025554697 0.010248849 0.0029780099 0.0023801604 0.003416283 0.0030881402 0.0023576848 0.0023936457 0.0026993132 0.00339156 0.0023869032 0.0024768051 0.0024947857 0.002649867 0.0022700303 0.002751007 0.0024498345 0.0034275209 0.002694818 0.002654362 0.0029083358 0.0039377157 0.0029083358 0.0070213606 0.049075358 0.0046132994 0.0 3.383011e-06 1.1276703e-06 0.0 0.0 1.1276703e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004377616 0.00013870344 2.9319428e-05 1.2404374e-05 4.5106813e-06 1.6915055e-05 1.6915055e-05 2.2553406e-06 3.383011e-06 2.2553406e-06 5.6383515e-06 2.2553406e-06 4.5106813e-06 2.2553406e-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 0.0020377003 1.3532044e-05 2.0298066e-05 2.1425736e-05 2.8191758e-05 4.0596133e-05 2.2553406e-05 6.766022e-06 3.834079e-05 7.893692e-06 1.3532044e-05 3.721312e-05 1.1276703e-05 6.766022e-06 0.0 3.383011e-06 0.005649628 0.0007769649 0.00012968208 9.0213625e-06 4.9617494e-05 3.946846e-05 5.1872834e-05 3.383011e-05 1.1276703e-05 6.766022e-06 5.6383515e-06 4.5106813e-06 5.6383515e-06 5.6383515e-06 3.383011e-06 0.00014546947 0.0060803983 0.001741123 0.00014546947 1.4659714e-05 9.246897e-05 5.0745166e-05 0.00020298066 0.00010712868 1.3532044e-05 1.1276703e-05 5.6383515e-06 9.0213625e-06 6.766022e-06 1.4659714e-05 4.5106813e-06 0.0007374964 0.011470662 0.0038633985 0.00040370598 0.00010149033 0.00018832095 0.00010712868 0.00021989571 0.00012291607 0.00016012919 4.510681e-05 6.653255e-05 0.00011727771 4.2851472e-05 3.04471e-05 2.7064088e-05 0.0015088229 0.010819997 0.00018832095 0.00047813222 0.00025936417 0.00034281178 0.0003529608 0.0016441434 0.0007724542 0.00037438655 7.442624e-05 8.231994e-05 0.00010374567 0.00013757579 5.3000505e-05 7.329857e-05 0.00040934433 0.010499738 0.0017523997 0.0005751119 0.0002627472 0.0007059216 0.000307854 0.0011761602 0.0006890066 0.0002582365 0.00017140589 0.00013419277 0.00019621463 0.00019846998 0.0002435768 0.0001860656 0.0011186489 0.0056766924 0.0042828918 0.0011705218 0.00036536518 0.0003991953 0.00037889724 0.0008051566 0.0003980676 0.00012742674 0.0001443418 0.00014321413 3.946846e-05 0.00021200202 4.2851472e-05 1.6915055e-05 0.001963274 0.006978024 0.0040675066 0.0028484953 0.00080628425 0.0008671785 0.0005108347 0.0012765228 0.0006371337 0.0003157477 0.00021989571 0.00022215105 0.00011840538 0.00029544963 0.00016012919 8.34476e-05 0.0036874819 0.014107156 0.006605893 0.003636737 0.0021561056 0.0018933584 0.00084462506 0.0012528418 0.0011536067 0.0010972233 0.00061345263 0.0006630701 0.00061345263 0.00084913574 0.0009946052 0.0010284353 0.0063702096 0.011436832 0.011101915 0.0062506767 0.0031811579 0.0015110782 0.0012844165 0.0013238849 0.0024233635 0.001850507 0.0006912619 0.000926945 0.0007859862 0.00089537026 0.002425619 0.0030165182 0.010940658 0.03878735 0.010218948 0.008404527 0.006882172 0.0074933693 0.0061615906 0.007743712 0.01956959 0.010123096 0.003769802 0.003950229 0.004703513 0.007292644 0.005510925 0.008116971 0.019862786 0.015219038 0.004959494 0.0024741087 0.0030943274 0.005121879 0.004511809 0.002955624 0.004049464 0.0077211587 0.0011107553 0.0014219923 0.0016227176 0.0046708104 0.0021256586 0.004456553 0.008387612 0.052590035 0.0375097 0.029388215 0.029098405 0.031176701 0.03279942 0.032758825 0.030725634 0.035841875 0.028480442 0.02749373 0.028888658 0.03345798 0.028671019 0.034095112 0.040511556 1596.0 7.5325813 12022.0 0.025536517 0.007902179 0.007818999 0.0058226585 0.0058226585 0.0057394775 0.0057394775 0.011063051 0.0067376476 0.006404924 0.007902179 0.0050740307 0.0046581267 0.006072201 0.0067376476 0.0064881053 0.007153552 0.0042422228 0.0062385625 0.0049076695 0.0049076695 0.006072201 0.0048244884 0.0063217436 0.004491765 0.0044085844 0.005406754 0.0049076695 0.005905839 0.005905839 0.0049076695 0.006155382 0.008650807 0.0099817 0.0072367326 0.00898353 0.009482616 0.007153552 0.008318083 0.009066711 0.019381134 0.008733988 0.005406754 0.0041590417 0.005489935 0.0074030943 0.006654467 0.0067376476 0.010730328 0.004491765 0.0062385625 0.0102312425 0.008650807 0.0064881053 0.008234902 0.008650807 0.005573116 0.0053235735 0.005656297 0.0041590417 0.0057394775 0.00598902 0.005406754 0.006571286 0.009399435 0.021044752 0.007153552 0.019464316 0.014057561 0.04009316 0.008234902 0.0068208287 0.0069871903 0.01788388 0.00598902 0.0048244884 0.019464316 0.0099817 0.03984362 0.029612377 0.02586924 0.018965231 0.04483447 0.023207452 0.03576776 0.024205623 0.025286974 0.022458825 0.025120612 0.009233072 0.0053235735 0.004491765 0.0046581267 0.0044085844 0.0050740307 0.0069871903 6.215311 1.0 0.0 0.0 6.0 444928.0 495616.0 1.0 0.0 106.0 0.0 1.0 0.0 0.0 0.0 1352974000.0 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 10.0 0.0 5.0 1.0 5.0 1.0 111104.0 1024.0 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 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -111104.0 0.0 273920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.221306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.032577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8647256 0.0 7.4492536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13194.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110751.0 0.0 273920.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 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 -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 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 0.0 -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 -1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 129516.0 273920.0 221184.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 119280.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 128144.0 0.0 0.0 436.0 118784.0 0.0 0.0 0.0 0.0


Input: 0.27869335 0.010338056 0.011739117 0.0038237085 0.00873332 0.0029961495 0.003734735 0.0018898789 0.004206401 0.001955269 0.0033981374 0.0011695167 0.002387272 0.0012445544 0.0014117813 0.0031515849 0.003346683 0.0013345997 0.0011395016 0.0019456212 0.0027249416 0.015835106 0.0015983037 0.0009165323 0.0022114692 0.0010226571 0.0008833013 0.0011127024 0.0015865121 0.0008414946 0.001124494 0.0025598586 0.0069013275 0.0008854453 0.0007246501 0.0011352136 0.0061809653 0.0011920279 0.0012156112 0.000861862 0.0019627728 0.0010001458 0.0007546652 0.00083506276 0.0013560391 0.0014385806 0.0012681377 0.00065282825 0.0039266176 0.0032898686 0.0032652135 0.0028728733 0.0041120676 0.002510548 0.0027045743 0.002583442 0.005100422 0.0029211116 0.0049835774 0.0025394913 0.0039823595 0.0026327525 0.002388344 0.0039030341 0.005789697 0.008553229 0.004728449 0.006498268 0.008071916 0.017476289 0.0058754543 0.005222626 0.007882178 0.008618619 0.015724692 0.0014064215 0.009958579 0.0035235574 0.0067330287 0.008376355 0.006847729 0.0026606235 0.009685228 0.010795786 0.009116013 0.0046887863 0.002716366 0.0023754803 0.0015018267 0.002848218 0.0021407194 0.0016701255 0.0015382735 0.0019263258 0.001157725 0.001455732 0.0017022846 0.0046812827 0.0012627778 0.0022296926 0.0030068692 0.006727669 0.0026327525 0.0015489932 0.002156799 0.0045237034 0.0017698185 0.00091224443 0.0036521936 0.0016058075 0.003968424 0.0036993602 0.0021675185 0.00060351775 0.0039266176 0.0040134466 0.0057875533 0.004216049 0.0010130093 0.0010376647 0.0012509862 0.0014289329 0.0012606339 0.00069677894 0.0024698135 0.0011084145 0.001026945 0.0010033617 0.0056235422 0.0014021336 0.001125566 0.00423856 0.0016015196 0.002117136 0.0013056565 0.0012670658 0.0019670606 0.012427321 0.0013292398 0.018653309 0.0010076496 0.004367196 0.00065390026 0.00084256654 0.0037261595 0.0005767186 0.00060137385 0.00067319564 0.0007546652 0.00053062395 0.0007546652 0.000727866 0.00132388 0.00059815793 0.00081147946 0.00066890777 0.0011009107 0.00061959727 0.00073108193 0.0007525213 0.0012745695 0.00067962747 0.00076752884 0.0005531353 0.00071071455 0.0016283188 0.002083905 0.0033552586 0.009374357 0.0018652236 0.000859718 0.00072679407 0.0018309207 0.00060137385 0.00055099133 0.0007407296 0.0020378104 0.0012627778 0.00072572206 0.002385128 0.0013410315 0.00075680914 0.00092296413 0.0010708957 0.009894261 0.004005943 0.0023347454 0.00720791 0.0017719625 0.0007246501 0.0007814644 0.0010323048 0.0014739555 0.0014782434 0.001292793 0.0034871106 0.0016358226 0.0011855962 0.0022907949 0.002288651 0.002223261 0.001288505 0.000597086 0.0008511423 0.0011448615 0.00066033204 0.00061959727 0.0006656919 0.0020796172 0.00053169596 0.00057457463 0.00076967274 0.0008833013 0.00062174123 0.00062388513 0.00093582773 0.0021064163 0.0011062706 0.00070321077 0.0010001458 0.0018169851 0.00089187705 0.00080933556 0.00068713125 0.0011448615 0.0005456315 0.0006356768 0.0007021388 0.0010140814 0.00093904365 0.0005767186 0.000597086 0.008868388 0.0014417964 0.00058100646 0.0018244889 0.0017644587 0.000597086 0.0006356768 0.0006206693 0.0031194258 0.00060351775 0.00066354795 0.0009904981 0.0018845191 0.0006088776 0.00065818813 0.00089938083 0.0046148207 0.00071071455 0.0012970808 0.0017655307 0.0035846597 0.0024033515 0.0029039602 0.040942732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038279104 5.4730426e-05 2.092634e-05 2.3609204e-05 8.799794e-05 3.6486952e-05 8.531508e-05 5.151099e-05 0.00011804602 1.1268029e-05 1.3950893e-05 1.1268029e-05 1.5560612e-05 1.2341175e-05 1.1804602e-05 1.2877747e-05 0.004283997 6.868132e-05 2.7365213e-05 1.1804602e-05 3.809667e-05 6.9754465e-06 5.902301e-06 1.2341175e-05 0.0002071171 1.1804602e-05 1.1804602e-05 5.365728e-06 7.941278e-05 9.121738e-06 8.585165e-06 0.0007061298 0.010445463 0.00022965316 0.00032730942 0.0003611135 0.00046198917 0.0002033611 0.0003573575 0.00015131354 5.955958e-05 4.0779534e-05 3.6486952e-05 3.7023525e-05 3.809667e-05 3.2730943e-05 3.5413806e-05 0.0003691621 0.025657838 0.0005698403 0.0005430117 0.000884272 0.002274532 0.0010956817 0.0011750944 0.0006964715 0.00051403674 0.00010141226 0.000100339115 0.00012716776 0.00016258156 0.000110534 9.765625e-05 0.0010543655 0.059372317 0.0016671317 0.001865127 0.0029822716 0.0101015195 0.0052804127 0.0038466905 0.002063659 0.0013446514 0.00026184754 0.00032677283 0.0003294557 0.00040296616 0.00027794472 0.00031121224 0.0018737122 0.0451526 0.0023823832 0.0023834563 0.002475747 0.020462204 0.010810332 0.0054038246 0.0029361264 0.0010044643 0.0002387749 0.00049042754 0.00043730682 0.0006133027 0.00035091862 0.0003686255 0.0022917024 0.031361606 0.0020808293 0.0023346283 0.0026308165 0.02534931 0.01311384 0.008218685 0.0047207675 0.00050169555 0.0002629207 0.00058486435 0.000674472 0.00056715746 0.00035252832 0.00043623368 0.0013151399 0.02446289 0.0018114698 0.0032135346 0.0018946385 0.014773459 0.008079177 0.009767234 0.004654769 0.00040135646 0.00032838256 0.0004576966 0.00037721067 0.0003965273 0.00027150585 0.0002092634 0.0014283567 0.014849116 0.004139659 0.0027923249 0.029076343 0.0078103538 0.0034464072 0.0048500816 0.0033589457 0.0022160457 0.0018399082 0.0034431876 0.004676232 0.001993368 0.0018517127 0.0018930288 0.0040709777 0.026087096 0.0038982015 0.0016912775 0.0017401056 0.005540651 0.0019584908 0.0015099159 0.0015539149 0.0070956387 0.0012228495 0.0032779232 0.0057885475 0.0018216646 0.0013897235 0.0020765366 0.008072738 0.0787206 0.015815483 0.0063787773 0.006057907 0.027945785 0.011644166 0.0052154874 0.0066202353 0.035287175 0.0049005193 0.012249957 0.018161917 0.010053765 0.005346948 0.010099373 0.0356118 0.011894209 0.003147536 0.002641548 0.0010962182 0.005365728 0.0026608645 0.0011552413 0.0014278202 0.006846132 0.0012078254 0.0018678099 0.0027161315 0.00257233 0.00108656 0.0022122897 0.0059479093 0.004416531 0.004348386 0.0041541466 0.0043778974 0.00434624 0.004842033 0.004510431 0.004776571 0.004389702 0.0045259916 0.00476423 0.0049434453 0.004476627 0.0050539793 0.0047406205 0.0049595423 13058.0 13.607444 177686.0 0.025893994 0.0008385579 0.00075976725 0.0026113482 0.004215301 0.0016264647 0.0030840922 0.0010242788 0.0023974876 0.0018065576 0.00075976725 0.0006134417 0.0013506972 0.001429488 0.003095348 0.0007316277 0.008239253 0.009010277 0.008379951 0.0062132077 0.0056898124 0.0051326496 0.005644789 0.0051439055 0.005121394 0.0050707427 0.018425763 0.0046824175 0.0053802775 0.004704929 0.0043222313 0.012364509 0.0025944645 0.032039665 0.0109969275 0.026152877 0.026839482 0.062751144 0.012398276 0.011441532 0.007175579 0.037138548 0.00090609276 0.0038551153 0.041719664 0.013512601 0.031797666 0.03938971 0.02229776 0.0045079524 0.045208964 0.04538343 0.040498406 0.015955111 0.009972649 0.00830116 0.0025381853 0.007907207 0.0063257655 0.0018515809 0.0011537207 0.0008104184 0.0014126042 0.0033486036 0.00095111603 0.019765204 0.004063348 0.009398602 0.010169625 0.032236643 0.0040126964 0.005526603 0.0043616267 0.020119762 0.0009342323 0.0016714879 0.0147394845 0.0058699055 0.018014925 0.016562926 0.006308882 0.00083293 0.01816125 0.01730581 0.018121855 0.006607161 0.0027126505 0.0025719528 0.0016996274 0.004530464 0.0027295342 0.0006246975 0.0022342785 0.00060781377 0.0018853483 0.0007203719 5.7675643 0.0 2.0 0.0 2.0 932864.0 1064960.0 0.0 0.0 314.0 1.0 1.0 0.0 0.0 0.0 1101396600.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 1.0 0.0 4.0 0.0 409600.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 4096.0 -51712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -409600.0 -9728.0 301568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.9399395 -6.8055305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.642541 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9380956 -5.4042253 5.0580153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 122468.0 -51248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158989.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -409404.0 -9272.0 301076.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 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 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 -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 1.0 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 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 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 1.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 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 1.0 -1.0 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 1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -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 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 -2.0 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 2.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 -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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9272.0 696320.0 301076.0 708608.0 0.0 0.0 0.0 0.0 51248.0 1011712.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.11786966 0.011654125 0.006074793 0.005069508 0.005880917 0.007044175 0.007618624 0.009083468 0.0085162 0.008035099 0.008903952 0.009952321 0.008882411 0.007410386 0.007058536 0.006771312 0.0067784926 0.007022633 0.005974265 0.0053208293 0.0054644416 0.0055003446 0.004545324 0.0049761604 0.005241843 0.0047176587 0.0049617994 0.004947438 0.00496898 0.0053208293 0.005399816 0.0053280103 0.0061753215 0.0041862936 0.00402114 0.004035501 0.003848805 0.003848805 0.0039349725 0.0040139593 0.0038990695 0.003396427 0.003705193 0.0037913602 0.003870347 0.0035903032 0.0036764706 0.003540039 0.0041144877 0.0033461626 0.003231273 0.0038272634 0.003683651 0.0034754137 0.0035328586 0.0033533433 0.0036405677 0.0032456343 0.0042652804 0.0044376147 0.0037195543 0.0041360296 0.0044017117 0.0030876608 0.003468233 0.0032456343 0.0037769992 0.0032599955 0.003575942 0.0032815372 0.003288718 0.0032958984 0.0031092027 0.0028507009 0.002936868 0.0030373966 0.0028794233 0.0028076172 0.0030732995 0.0029655905 0.0034466912 0.0028004367 0.0031810086 0.0032025506 0.002793256 0.0028722426 0.0031810086 0.0030517578 0.0027286306 0.002592199 0.0025778378 0.002649644 0.002570657 0.0026711856 0.0026783664 0.0024988512 0.0025634766 0.0037913602 0.0032240923 0.002994313 0.003575942 0.0039924174 0.0025850183 0.0026209215 0.002922507 0.0030876608 0.0026927274 0.0024126838 0.0032025506 0.0027860755 0.00295841 0.0032599955 0.0028794233 0.0028722426 0.0032169118 0.003159467 0.003540039 0.0033605238 0.0024126838 0.0026568244 0.0022690718 0.0021398207 0.0019459444 0.0019603055 0.0023839613 0.0020392924 0.0022044461 0.0020392924 0.0025993795 0.0022331686 0.0020392924 0.0023983226 0.0021900851 0.0022906135 0.0018956801 0.0018454159 0.0019387638 0.002118279 0.0022331686 0.0027645335 0.0021039178 0.0020751953 0.0021685432 0.0019674862 0.002261891 0.0024773092 0.001787971 0.0023265164 0.0017448874 0.0019244025 0.0020249311 0.0017664293 0.0020392924 0.0024916704 0.0016084559 0.0018669578 0.0021829044 0.0022475298 0.0017305262 0.0017377068 0.0018956801 0.0018382353 0.001752068 0.0020033892 0.0017807904 0.0019603055 0.0017736098 0.0016371784 0.0021326402 0.001716165 0.0018238741 0.0016874425 0.001953125 0.0018310547 0.0019244025 0.0017305262 0.0019172219 0.0016874425 0.001644359 0.0018095128 0.0017377068 0.0018023322 0.0018956801 0.0019244025 0.0018597771 0.0019962087 0.0016874425 0.0018884996 0.0018956801 0.0017736098 0.0018454159 0.0018884996 0.0029655905 0.0022547105 0.001881319 0.0019818475 0.001752068 0.001716165 0.001551011 0.0017377068 0.001752068 0.0016515395 0.0014935662 0.0014648438 0.0018238741 0.0018023322 0.001644359 0.0014648438 0.002175724 0.0015007468 0.0013930377 0.0015725528 0.0016730813 0.0016802619 0.0015294692 0.001515108 0.0018382353 0.0019387638 0.0015797334 0.0019818475 0.0014720244 0.0015079274 0.0013930377 0.0015294692 0.001752068 0.0015007468 0.0012996898 0.001278148 0.001515108 0.0014289407 0.0014433019 0.0013786765 0.001551011 0.001479205 0.0013786765 0.001989028 0.0016587201 0.0020751953 0.0020536536 0.001479205 0.002096737 0.0014935662 0.0016012753 0.0014289407 0.0020823758 0.0013930377 0.0020177504 0.0015653722 0.0020823758 0.0012925091 0.0013284122 0.0015581916 0.0019746667 0.001242245 0.0015438304 0.13761632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012525318 6.872106e-05 0.0003616898 0.0003797743 7.233796e-06 7.233796e-06 0.00012297454 0.0 0.0 0.0 0.0 0.0 0.0003761574 0.0 1.808449e-05 0.0009476273 0.023502605 0.00068359374 0.00014829282 0.0003833912 1.808449e-05 1.4467592e-05 0.00022786458 3.616898e-06 2.5318286e-05 3.616898e-06 0.0 7.233796e-06 0.00014467593 3.616898e-06 1.808449e-05 0.0118525755 0.0058087385 0.00016999421 7.957176e-05 0.00017361112 2.5318286e-05 2.170139e-05 1.0850695e-05 7.233796e-06 1.0850695e-05 0.0 3.616898e-06 3.616898e-06 0.00024233217 0.00013382523 1.808449e-05 0.00069806137 0.005367477 0.00016637731 0.00031105324 0.0004231771 1.808449e-05 2.5318286e-05 0.00035807292 1.0850695e-05 7.233796e-06 0.0003653067 0.0 3.616898e-06 0.0 0.0 3.616898e-06 0.00034722223 0.004868345 0.0003616898 0.00017361112 0.00053530093 7.957176e-05 8.318866e-05 0.000390625 2.5318286e-05 3.2552085e-05 0.0003870081 7.233796e-06 0.0 0.0 3.616898e-06 0.00024233217 0.00021701389 0.024598524 0.0020218461 0.0011067708 0.0010706019 0.0007486979 0.00045211226 0.000499132 0.00061125576 0.00071252894 0.00048104746 0.00021701389 0.00027850116 0.00035445602 0.00025318286 0.00032190394 0.0107168695 0.023614729 0.0024594907 0.0026403356 0.002734375 0.0017144097 0.0009693287 0.0049443 0.0026909723 0.0003508391 0.00076316553 0.00020254629 0.000213397 0.0001989294 0.00015914351 0.00016637731 0.008029514 0.014236111 0.003338397 0.0019314236 0.0026114006 0.0019061053 0.0013671875 0.00088614004 0.00048828125 0.00034360532 0.00031467015 0.00016637731 0.00013382523 9.042245e-05 8.318866e-05 0.000104890045 0.009035012 0.014775029 0.0063331886 0.0028971354 0.002242477 0.0020435473 0.0014720776 0.0012333622 0.00088252313 0.00074146414 0.000958478 0.0004376447 0.0001953125 0.00014105903 0.00028211807 0.00046296295 0.009346065 0.03135489 0.021520544 0.015379051 0.011570457 0.008666088 0.007002315 0.0067346646 0.0048430264 0.003692853 0.003049045 0.0022894966 0.001490162 0.001171875 0.00068721065 0.0008029514 0.035300925 0.045326967 0.025155528 0.016427951 0.015010127 0.012764034 0.009986256 0.0092484085 0.008156105 0.005960648 0.006206597 0.0058666086 0.0055374713 0.0047055846 0.0032986111 0.0023907698 0.053587962 6.148727e-05 0.00022424769 0.00049189816 0.00046296295 0.00050636573 0.0004123264 0.00026041668 0.00023871528 0.00026041668 0.00034722223 0.0003761574 0.0005280671 0.00044849538 0.00044487847 0.00014467593 0.002199074 0.028305845 0.024367044 0.021759259 0.02208478 0.022435619 0.023726853 0.023734085 0.023177084 0.022735821 0.019361256 0.01980975 0.02080078 0.021003328 0.020829717 0.020482494 0.02094184 329.0 9.516717 3131.0 0.021398915 0.005429575 0.016608112 0.007026509 0.006068349 0.0051101884 0.0044714147 0.005748962 0.005748962 0.0051101884 0.0067071225 0.0076652826 0.0047908016 0.008623443 0.016288726 0.010539764 0.00990099 0.0067071225 0.008942829 0.010220377 0.0076652826 0.0073458957 0.009262216 0.007026509 0.0073458957 0.005748962 0.008942829 0.0051101884 0.011497924 0.011178537 0.014053018 0.005748962 0.0025550942 0.011178537 0.0067071225 0.00798467 0.00798467 0.009581603 0.005748962 0.006068349 0.004152028 0.009581603 0.0067071225 0.007026509 0.008304056 0.0076652826 0.0073458957 0.00990099 0.008623443 0.0051101884 0.005748962 0.01085915 0.008942829 0.0063877357 0.008623443 0.0063877357 0.007026509 0.0047908016 0.0047908016 0.007026509 0.00798467 0.0031938679 0.0051101884 0.0038326413 0.0051101884 0.02267646 0.010539764 0.020760141 0.02267646 0.0434366 0.012456085 0.0076652826 0.010539764 0.026509102 0.006068349 0.009581603 0.023954008 0.017566273 0.026189717 0.030022357 0.0169275 0.0051101884 0.02778665 0.033216223 0.03353561 0.01980198 0.009581603 0.008623443 0.006068349 0.013733631 0.0038326413 0.005429575 0.0051101884 0.0076652826 0.0051101884 0.005748962 6.2888975 0.0 1.0 0.0 3.0 139264.0 417792.0 0.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 20480.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.872051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8170047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 303104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 532.0 413256.0 85576.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056783214 0.008309005 0.00617599 0.0056593358 0.005753745 0.004964239 0.0042006695 0.0054207207 0.0050503477 0.0056261374 0.0037514498 0.004462109 0.004955939 0.0031756605 0.0043210145 0.0046374393 0.005042048 0.0037576747 0.0049393396 0.0041519087 0.004360438 0.0031829225 0.0041072983 0.0038385964 0.005082509 0.0033416538 0.0031694355 0.0029194083 0.004143609 0.0034422872 0.0037939856 0.0037960606 0.0061728777 0.0038188847 0.003482748 0.0030179666 0.0048957667 0.004174733 0.0038520833 0.0037286258 0.004728736 0.0038977314 0.0033323166 0.003093701 0.0043697753 0.0037120264 0.0037286258 0.0035761194 0.005516167 0.003948567 0.0030999258 0.0028903594 0.0036767528 0.0030760644 0.0026973921 0.0028561233 0.0041695456 0.0033177922 0.0035221716 0.003348916 0.004014964 0.0032192336 0.0035066097 0.0034578491 0.006598236 0.003944417 0.0036145053 0.0032213086 0.0041539837 0.0032254583 0.0035377333 0.003077102 0.0050088493 0.0037784239 0.0037192886 0.0035823442 0.00412701 0.0031258625 0.003546033 0.0034588866 0.0051769176 0.0036311047 0.0036445917 0.0033323166 0.0039278176 0.0033790022 0.003360328 0.0035470705 0.004650926 0.0036425167 0.00381266 0.0035076472 0.0041145603 0.0033831522 0.0036912772 0.003795023 0.0059104008 0.003634217 0.0033395789 0.0029463822 0.004007702 0.0030532402 0.0032679942 0.003032491 0.004973576 0.0031673608 0.0031953722 0.0030573902 0.0035813067 0.0028291494 0.0030854016 0.003186035 0.0045015323 0.0032877058 0.0032150839 0.003136237 0.003896694 0.0033271294 0.0032908183 0.0036259175 0.00462914 0.003294968 0.0034796358 0.003161136 0.0040377886 0.0032047092 0.0034609614 0.0033499533 0.008660703 0.0045949034 0.004026376 0.0035273589 0.0043656253 0.00343295 0.0030179666 0.0033904144 0.004537843 0.0038323717 0.0029588316 0.003186035 0.0037296633 0.0027928383 0.0028478235 0.0029858055 0.0052256784 0.0032109339 0.0034879353 0.0030179666 0.0036663783 0.003170473 0.0033053427 0.0032711066 0.004544068 0.0028395238 0.0030428658 0.0026973921 0.0035200967 0.003231683 0.0029889178 0.0031466116 0.005011962 0.0034163508 0.0032669567 0.0027980255 0.0037773864 0.0030127794 0.0030605025 0.0031798102 0.0041363467 0.0029992925 0.0031186002 0.003013817 0.0036466666 0.0028281119 0.0029162958 0.003032491 0.004679975 0.0031123755 0.0038417086 0.0028498985 0.0035719695 0.0031549113 0.0029806183 0.0031175627 0.00425358 0.003140387 0.003335429 0.0031735855 0.003651854 0.003186035 0.003326092 0.0033478786 0.0067258435 0.004055425 0.0037234384 0.0033343916 0.0041187103 0.0032534697 0.0033032678 0.0032275333 0.004326202 0.003328167 0.0031082255 0.0030854016 0.0036425167 0.0029837305 0.0030802141 0.0028021752 0.0042546173 0.0032721441 0.0030833266 0.00300033 0.0037068392 0.0030065547 0.0029328952 0.0029432697 0.003981766 0.003109263 0.0027285158 0.0026444816 0.0035294336 0.0029463822 0.0035844191 0.0028799847 0.0049497145 0.0032389453 0.0033956016 0.0029764683 0.0037981356 0.0030667272 0.0031984844 0.002905921 0.004440322 0.005450807 0.0034609614 0.0031434991 0.0037846486 0.0030719147 0.0032462075 0.0032005594 0.004613578 0.0033198672 0.003419463 0.0030470155 0.0037369255 0.0030781394 0.003312605 0.0032368705 0.0043500634 0.0030387158 0.0031912222 0.0028654602 0.0040180767 0.0030926638 0.0042297184 0.0045233187 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045903632 0.00029296876 0.00027167136 0.00026803525 0.00030335772 0.00024102394 0.00032829124 0.00030283828 0.00033400516 0.00034906916 0.00033088846 0.00035530253 0.00051944813 0.00015739279 0.00018855967 0.0007412525 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09924524 0.06201172 0.062458962 0.055310838 0.060591027 0.059568755 0.054934237 0.054464657 0.060479864 0.053155128 0.052115712 0.052933324 0.0564209 0.050520487 0.05662608 0.053843915 4019.0 5.7041554 22925.0 0.017099237 0.010512541 0.009334788 0.008593239 0.013522356 0.012519084 0.011864777 0.011559433 0.012562704 0.0096837515 0.008549619 0.008636859 0.01387132 0.010512541 0.011821156 0.009901854 0.016750272 0.011908397 0.00868048 0.0075027263 0.009814613 0.008462377 0.00785169 0.008331516 0.010250818 0.008462377 0.009640131 0.008854962 0.011559433 0.008942203 0.009596511 0.009160305 0.018015267 0.010861505 0.010338059 0.009116685 0.0108178845 0.008854962 0.0106870225 0.008331516 0.014220283 0.011603054 0.009770992 0.008942203 0.011472192 0.009334788 0.011646674 0.0095528895 0.01478735 0.009596511 0.009945475 0.008985823 0.0121265 0.009334788 0.009596511 0.009858233 0.013784079 0.009203926 0.010556161 0.009509269 0.011210469 0.009814613 0.0104253 0.010730644 0.018015267 0.010992367 0.0096837515 0.0081570335 0.01308615 0.0082878955 0.009378408 0.008331516 0.015441658 0.009334788 0.008898582 0.0087241 0.011341331 0.008026172 0.009945475 0.007938932 0.013173391 0.007982552 0.0087241 0.0087241 0.011472192 0.009378408 0.0081570335 0.00789531 0.0109487455 0.008898582 0.0120828785 0.008505998 0.011341331 0.008985823 0.010032715 0.008767721 6.554406 0.0 0.0 0.0 14.0 963894.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0