Input: 0.73922783 0.0011049637 0.001038623 0.0013765085 0.001079759 0.0010165095 0.001025783 0.0010024805 0.00106573 0.0010393364 0.000982507 0.0010129429 0.0010462321 0.0010089006 0.0010008161 0.0010702478 0.0011261262 0.0009958227 0.0009834581 0.0009680024 0.001006285 0.0010448054 0.0010174607 0.0010733389 0.0009967738 0.00096895354 0.0009998649 0.0009972494 0.0010393364 0.0010027183 0.0009775136 0.0009972494 0.0010607366 0.0009798914 0.0009763247 0.0010448054 0.0010376719 0.0009970115 0.00096776464 0.0010469453 0.0010345809 0.0010162718 0.0010390986 0.001039812 0.0009929694 0.001008425 0.0009884515 0.0009886893 0.0010234051 0.0010010538 0.0010405253 0.001038623 0.000987976 0.0010390986 0.0009955849 0.0009839337 0.0010269718 0.0010153207 0.0009872626 0.001045281 0.0010060472 0.0010069984 0.0010077116 0.0009972494 0.0010474209 0.0010393364 0.0009894026 0.0010060472 0.0010450431 0.0018946311 0.0010043827 0.0010305386 0.0009872626 0.0010074739 0.0009784647 0.0009794158 0.0010050961 0.0010222163 0.000982507 0.0010390986 0.0010562188 0.0010238807 0.00097489805 0.0010348186 0.0009903538 0.001044092 0.0010122295 0.0010160339 0.001023643 0.0010105651 0.0010250696 0.0010112784 0.001034343 0.0010281608 0.0009882137 0.0010298252 0.0010074739 0.0010119918 0.0010079495 0.001035532 0.0010264963 0.001055981 0.0010001027 0.0010314897 0.0010124673 0.0010079495 0.0010405253 0.0010122295 0.0009962983 0.0010100895 0.0009872626 0.0009851226 0.00097489805 0.0009827447 0.0010371964 0.0010393364 0.0011225594 0.0011220839 0.001018174 0.0010186495 0.0010067605 0.0010119918 0.0010186495 0.0010058094 0.0010305386 0.0010866546 0.0010098517 0.0010148451 0.0010245941 0.0009896404 0.0009796537 0.0011805778 0.0010210273 0.0010357697 0.0009996272 0.0010091384 0.0009763247 0.0013020834 0.001027923 0.0014307223 0.0010357697 0.0010555055 0.00096990465 0.0009641979 0.0010393364 0.0010029561 0.00097228243 0.0010077116 0.0010003404 0.0009789403 0.0010029561 0.0009718069 0.0010186495 0.0010141317 0.0010160339 0.0010010538 0.001004145 0.0009891648 0.0009817936 0.0010015294 0.0010272097 0.0010245941 0.0010029561 0.0010005783 0.0010134184 0.0009894026 0.00096372236 0.0010348186 0.0010146073 0.0009775136 0.000987976 0.0010015294 0.0010069984 0.0010341053 0.000968478 0.0009701424 0.0010129429 0.0009865493 0.0009756114 0.0009777514 0.0010245941 0.0010514632 0.0010348186 0.0009998649 0.0010229296 0.000968478 0.0009836958 0.0009898782 0.0010210273 0.0010274474 0.0009924937 0.0009929694 0.0010640655 0.0010131806 0.0009927315 0.0010402875 0.0010414765 0.0010153207 0.0009860737 0.0010141317 0.0010269718 0.0010001027 0.00096182013 0.000992256 0.0011589398 0.000997725 0.0009836958 0.0010215029 0.0010184118 0.0010015294 0.0009841714 0.0010160339 0.0010303007 0.000998676 0.001020314 0.0009875004 0.0010312519 0.0009796537 0.0009820315 0.0009908293 0.0010417142 0.0009984382 0.0009917804 0.0010024805 0.0010581211 0.0010022428 0.00096538686 0.0009661002 0.0010445676 0.0009787026 0.0009796537 0.0009886893 0.0011002081 0.0010424276 0.0009661002 0.0010799968 0.0010545544 0.0009649113 0.0009832203 0.0010136561 0.0010379098 0.0010031939 0.00095920457 0.0010293496 0.0010443298 0.001034343 0.000987976 0.0010709611 0.0010402875 0.0009875004 0.0010186495 0.0009701424 0.0010852279 0.0010255452 0.0010198385 0.0012174336 0.009007398 0.0 2.3783792e-07 3.5675689e-07 0.0 4.7567585e-07 0.0 1.1891896e-07 7.1351377e-07 0.0 0.0 0.0 0.0 3.5675689e-07 1.1891896e-07 1.4270275e-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 0.00045022718 6.4216238e-06 5.827029e-06 1.6648654e-06 2.497298e-06 2.7351361e-06 1.4270275e-06 9.513517e-07 4.5189204e-06 1.7837845e-06 1.5459465e-06 1.3081086e-06 1.7837845e-06 1.4270275e-06 1.1891896e-06 1.7837845e-06 0.0002151244 1.3081086e-06 1.6648654e-06 5.945948e-07 9.513517e-07 6.778381e-06 4.7567585e-07 1.5459465e-06 2.3783792e-07 7.1351377e-07 6.4216238e-06 1.9027034e-06 1.3081086e-06 3.5675689e-07 3.5675689e-07 3.8054068e-06 0.00040908123 3.3297308e-06 2.497298e-06 1.605406e-05 2.0216223e-06 6.0648667e-06 2.497298e-06 2.854055e-06 1.7718925e-05 2.7351361e-06 5.589191e-06 2.497298e-06 3.6864878e-06 3.4486497e-06 1.9027034e-06 5.1135153e-06 0.0027377524 4.9827046e-05 4.7329748e-05 4.2691907e-05 4.352434e-05 5.0064882e-05 4.7091908e-05 4.6259476e-05 4.423785e-05 4.3881097e-05 4.8637856e-05 4.0908122e-05 4.126488e-05 4.0908122e-05 3.9124337e-05 4.6140558e-05 0.5969621 0.011632653 0.011674869 0.011708285 0.01164609 0.011685215 0.011691636 0.011694609 0.011569982 0.011748956 0.011581518 0.0116787935 0.011684145 0.011629204 0.011618382 0.011590912 0.125501 0.0030063903 0.002942293 0.0029691686 0.0029661956 0.002978682 0.0029917632 0.0030251795 0.0029966389 0.0029939038 0.0030049633 0.0029594172 0.0029664335 0.0029640552 0.002968812 0.003003774 0.015905293 0.0004590272 0.00043762178 0.00043560014 0.00044368664 0.00044808665 0.00045117852 0.000453438 0.00044796773 0.00044951367 0.00046770828 0.00045129744 0.00044832448 0.00046556772 0.00044118933 0.00044428124 0.00027089738 7.0162187e-06 8.443246e-06 8.205408e-06 2.1286494e-05 1.5221627e-05 5.9102724e-05 3.317839e-05 8.205408e-06 7.4918944e-06 8.443246e-06 7.6108136e-06 8.205408e-06 8.205408e-06 8.205408e-06 7.3729757e-06 0.0008008003 3.2821634e-05 3.44865e-05 5.1016235e-05 4.8637856e-05 4.542704e-05 8.443246e-05 5.696218e-05 5.838921e-05 2.8064875e-05 2.8064875e-05 3.627028e-05 3.6983798e-05 3.6389203e-05 3.3535147e-05 4.899461e-05 0.000328692 4.4000015e-05 3.579461e-05 2.5805415e-05 6.409732e-05 4.0313527e-05 3.6745958e-05 2.7589198e-05 2.972974e-05 1.034595e-05 1.1772977e-05 1.28432475e-05 2.188109e-05 1.5221627e-05 1.1654058e-05 1.41513565e-05 0.00065904885 0.0001091676 8.633517e-05 6.5286506e-05 0.0004935137 4.3167583e-05 7.016218e-05 0.00011891896 0.000344865 3.436758e-05 7.313516e-05 0.00010441085 0.00010405409 0.000101200036 0.00012474599 0.00014662708 0.0006307462 8.776219e-05 0.000101913545 9.2281116e-05 0.00049779477 0.00012878924 5.042164e-05 0.00015923248 0.000518011 3.627028e-05 7.182705e-05 7.622705e-05 0.00019621628 9.037841e-05 0.00017516763 0.00025305955 0.0006200434 0.000110713554 0.000121416255 0.0001185622 0.00017956764 0.00017504871 7.158922e-05 0.00016268114 0.00033261633 4.1621635e-05 6.504867e-05 5.6486508e-05 0.00019324331 7.836759e-05 0.00012974058 0.00022225954 0.00066202186 0.0006434705 0.00070614077 0.00066713535 0.000611957 0.0006666597 0.0006602381 0.00071601104 0.0006301516 0.0006058921 0.0006415678 0.00063312455 0.000606011 0.00063954614 0.0006374056 0.0007451462 473.0 8.471458 4007.0 0.014225106 0.003743449 0.0052408287 0.007986024 0.0084851505 0.003743449 0.003993012 0.016720738 0.0067382082 0.0042425753 0.03369104 0.004492139 0.0042425753 0.0059895185 0.0062390817 0.005490392 0.0059895185 0.0042425753 0.0042425753 0.005490392 0.0034938857 0.009483404 0.0049912655 0.0067382082 0.005739955 0.005739955 0.007486898 0.0034938857 0.0042425753 0.004492139 0.009483404 0.0034938857 0.007486898 0.02370851 0.01147991 0.008984278 0.029947592 0.02370851 0.005490392 0.02221113 0.0059895185 0.019965062 0.0062390817 0.011729473 0.005490392 0.011230347 0.017219866 0.005739955 0.025705017 0.0049912655 0.0049912655 0.014724232 0.0072373347 0.007986024 0.0122286 0.009233841 0.014724232 0.0059895185 0.008734714 0.004741702 0.0032443225 0.006488645 0.007486898 0.006488645 0.005739955 0.016471175 0.0049912655 0.025455453 0.033940602 0.03219366 0.009982531 0.007486898 0.0124781635 0.019965062 0.008734714 0.0059895185 0.02071375 0.0062390817 0.019715497 0.019465934 0.0059895185 0.008984278 0.021212878 0.012727726 0.024956327 0.01073122 0.0077364612 0.0042425753 0.011979037 0.009982531 0.010232094 0.0022460695 0.007486898 0.0084851505 0.01073122 0.0069877715 6.2775726 0.0 0.0 0.0 6.0 4205568.0 11526144.0 0.0 0.0 57.0 0.0 1.0 0.0 0.0 0.0 1436295200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 0.0 5.0 10.0 5.0 1.0 62976.0 1024.0 4096.0 6.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1810432.0 0.0 0.0 2320384.0 0.0 0.0 0.0 0.0 0.0 -62976.0 -2048.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7970684 0.0 0.0 5.748739 0.0 0.0 0.0 0.0 0.0 -3.8604004 -5.3769827 5.461679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9117212.0 0.0 0.0 2320240.0 0.0 0.0 0.0 0.0 0.0 -62564.0 -1578.0 8296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 9187564.0 8296.0 11513856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 236.0 9187328.0 0.0 0.0 0.0 0.0


Input: 0.2804466 0.031236148 0.018949468 0.00838043 0.01889406 0.009405474 0.020680962 0.010513631 0.011691046 0.008200355 0.03176252 0.005734707 0.004792775 0.00447418 0.008602061 0.0021193484 0.0054161125 0.0198914 0.020583998 0.010707557 0.007480053 0.010804521 0.0048897383 0.0024240913 0.0025349068 0.0019946808 0.0010804521 0.0043079564 0.0023825355 0.0010250444 0.0035183954 0.0021332004 0.008075687 0.0009557846 0.0008588209 0.0008034131 0.00091422873 0.0057901153 0.0023686835 0.0021332004 0.011760306 0.0013574911 0.0034352837 0.004529588 0.002784242 0.0018284575 0.002562611 0.0008034131 0.0043218085 0.0010388963 0.0010250444 0.0007341534 0.001122008 0.00060948584 0.00060948584 0.00054022606 0.0011635638 0.0010388963 0.0011912677 0.0009419326 0.0010388963 0.0009419326 0.00048481827 0.0003324468 0.0009419326 0.0036984708 0.0012882313 0.0048481827 0.0024517952 0.0024102393 0.0013851951 0.0016206782 0.0005956339 0.0035738032 0.0005263741 0.0015652704 0.0010666002 0.003933954 0.001966977 0.0016899379 0.0015929743 0.0010388963 0.0026872784 0.0037400266 0.00440492 0.003061281 0.0006371897 0.0010527482 0.00045711437 0.0007757092 0.00029089095 0.0004709663 0.0006371897 0.00037400267 0.0002216312 0.003116689 0.0005263741 0.010624446 0.0022994238 0.006953679 0.0049035903 0.024725731 0.0022855718 0.0040447693 0.0012328236 0.015431073 0.001122008 0.0018146056 0.0057762633 0.0060671545 0.011510971 0.026263298 0.015084774 0.0013297872 0.019337323 0.0145584 0.018007535 0.0062472294 0.002230164 0.0011497119 0.0006510417 0.0066212323 0.00070644944 0.0032552083 0.00074800535 0.005014406 0.0009973404 0.0002493351 0.0059563387 0.0023825355 0.00023548315 0.0007203014 0.00048481827 0.0007757092 0.0026595744 0.00030474292 0.00031859486 0.001108156 0.00034629877 0.00040170655 0.0007757092 0.00048481827 0.0004432624 0.0002493351 0.000554078 0.00070644944 0.00023548315 0.0005956339 0.0005817819 0.00074800535 0.00054022606 0.0003324468 0.00031859486 0.0009280807 0.00026318704 0.0003324468 0.0004709663 0.0003878546 0.0005263741 0.0001939273 0.00070644944 0.00037400267 0.0014683068 0.0005125222 0.00042941046 0.0004432624 0.0003878546 0.003075133 0.00037400267 0.0006510417 0.00020777926 0.00026318704 0.0005263741 0.00026318704 0.00023548315 0.0001939273 0.000277039 0.00045711437 0.0001939273 0.00020777926 0.000554078 0.0003601507 0.0001385195 0.00040170655 0.00018007535 0.000554078 0.0001385195 0.0001939273 0.00041555852 0.00042941046 9.696365e-05 0.00040170655 0.0006371897 0.0003324468 0.00037400267 0.00018007535 0.00037400267 0.00062333775 0.0002216312 0.00020777926 0.0002216312 0.0012189717 0.0001939273 0.00023548315 0.00034629877 0.00045711437 0.0001662234 0.00029089095 0.00015237146 0.00040170655 0.0005263741 0.00026318704 0.0002493351 0.00048481827 0.00026318704 0.0001108156 0.00023548315 0.0008588209 9.696365e-05 0.0001662234 0.0008865248 0.00031859486 0.003933954 0.00037400267 0.00054022606 0.00042941046 0.00040170655 0.000277039 0.0002493351 0.00034629877 0.00074800535 0.00029089095 0.0001662234 0.00045711437 0.0001662234 0.00062333775 0.0008865248 0.000277039 0.0001662234 0.00041555852 0.00040170655 0.0006510417 0.00034629877 0.00042941046 0.0005817819 0.0015375665 0.00030474292 0.0003878546 0.0003324468 0.0004986702 0.001371343 0.0003601507 0.0005263741 0.00054022606 0.0033937278 0.00096963655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.055720676 0.0050809556 0.0047483584 0.0015356091 0.012836844 0.0088315215 0.068168305 0.043046594 0.00056612317 0.00032552084 0.0004104393 0.00029721466 0.00023352582 0.00024060236 0.00048828125 0.00036798007 0.1572124 0.019849693 0.018434387 0.005073879 0.0076072803 0.0074657495 0.034200918 0.028483072 0.0015356091 0.0015780684 0.0016629868 0.0006581182 0.0006935009 0.0021088088 0.00072180707 0.002568784 0.17612092 0.04366225 0.01822209 0.0064962637 0.006199049 0.00466344 0.015334862 0.019736469 0.0055126245 0.0021654211 0.0038850203 0.0018752831 0.0017832881 0.0041893115 0.0016983695 0.0072959126 0.042310633 0.02396824 0.0049465015 0.0017408289 0.0040973164 0.0009977921 0.0046563633 0.0031915195 0.007253453 0.0014506907 0.0013799253 0.0007854959 0.0016842164 0.001323313 0.00096948596 0.0006935009 0.020854563 0.004896966 0.002766927 0.001167629 0.0011039402 0.0010190217 0.0010048687 0.0006864244 0.0024343296 0.0013020834 0.001599298 0.00084918475 0.00067934784 0.00071473053 0.0014365376 0.0009624094 0.016828012 0.0053286343 0.0024555593 0.001167629 0.002030967 0.0017974412 0.0035028872 0.0024272532 0.0006864244 0.0010402513 0.0013657722 0.0005731997 0.0010968636 0.00094825635 0.0012383945 0.0009907156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 679.0 15.886598 10787.0 0.0011124501 9.2704184e-05 0.0 0.00027811254 9.2704184e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.2704184e-05 0.0006489293 0.008250672 0.0 0.0008343376 0.0014832669 0.001575971 0.00037081674 0.0005562251 0.00037081674 0.0005562251 0.0 0.00027811254 0.00027811254 9.2704184e-05 0.0 0.0006489293 9.2704184e-05 0.0006489293 0.0 9.2704184e-05 0.012329656 0.004635209 0.02595717 0.007509039 0.0060257716 0.005191434 0.008343376 0.0008343376 0.010660981 0.00018540837 0.0025030128 0.0018540836 0.0023176046 0.008528785 0.00398628 0.004727913 0.0011124501 0.008528785 0.01529619 0.013349402 0.0037081672 0.0016686752 0.0050060255 0.00018540837 0.0 9.2704184e-05 0.0 0.0004635209 0.0 0.0 0.012329656 0.0008343376 0.049318623 0.0102901645 0.032075647 0.019838694 0.12533605 0.010104756 0.014832669 0.0037081672 0.064243995 0.0006489293 0.005562251 0.027347734 0.027625846 0.05942338 0.060257718 0.03263187 0.0011124501 0.054788172 0.04904051 0.09604153 0.025215536 0.009733939 0.004542505 0.001575971 0.02771855 0.00037081674 0.0 0.0 0.0 0.0 0.0 4.825477 0.0 0.0 0.0 1.0 72192.0 98304.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541909000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 70144.0 512.0 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 -70144.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6975417 0.0 3.1851957 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 -69820.0 0.0 968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 77924.0 968.0 81920.0 0.0 0.0 0.0 0.0 12.0 90112.0 28.0 77612.0 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: 0.060357902 0.00395632 0.0036040652 0.003426482 0.003804938 0.0029723349 0.0040116333 0.0047569005 0.0036127989 0.0040611234 0.0039155637 0.0031266285 0.0040960577 0.0036186213 0.0037816484 0.0030218253 0.003222698 0.0035371075 0.00368849 0.0029781573 0.0034934396 0.0032576325 0.003554575 0.0030887828 0.0038660732 0.0030684045 0.0036943124 0.0030363812 0.0035341964 0.0032896555 0.0028704428 0.0033711693 0.0042183283 0.003644822 0.003455594 0.003775826 0.0032721884 0.004360977 0.0029548677 0.0030422036 0.0034672387 0.0037001348 0.0035371075 0.0029374005 0.003513818 0.0033857252 0.0034002813 0.0029344892 0.0032867445 0.0029082885 0.003149918 0.004098969 0.00395632 0.0029257557 0.0034497716 0.0043260427 0.002957779 0.0031528294 0.0033624356 0.003074227 0.003411926 0.0034090148 0.0032692773 0.0037350692 0.007187752 0.004518182 0.0029985358 0.003426482 0.0048733484 0.011685556 0.003234343 0.004026189 0.00325181 0.005205225 0.0043173092 0.0034002813 0.0035516636 0.0049461285 0.0040436564 0.003819494 0.0051964913 0.005074221 0.003147007 0.003237254 0.0030509373 0.003673934 0.003673934 0.003423571 0.0040291003 0.0038107603 0.0031586518 0.0029810686 0.003295478 0.0032925669 0.0030946052 0.0040028994 0.004078591 0.0039912546 0.0039039187 0.0035196403 0.0035254627 0.003851517 0.0035662197 0.0029810686 0.0038544284 0.0046433634 0.004590962 0.0050421976 0.004084413 0.0031091613 0.0032256092 0.0037001348 0.0034905283 0.0032459877 0.0044395793 0.003950498 0.0038544284 0.0034148372 0.00376127 0.004229973 0.0031004276 0.004151371 0.0038369612 0.0047569005 0.0037787373 0.0030363812 0.0028762652 0.0032314316 0.005033464 0.004072768 0.0035603973 0.004401734 0.0031382733 0.0049927076 0.0034206596 0.0030392925 0.0032605436 0.0039475868 0.0035778645 0.006107697 0.0029082885 0.0036826676 0.0035807756 0.003746714 0.004462869 0.0031877637 0.004393 0.0035807756 0.0031295395 0.003426482 0.003455594 0.0033478797 0.0029257557 0.0029111996 0.0033740804 0.0034206596 0.0030247364 0.0033740804 0.002829686 0.0035109068 0.0034934396 0.0029956244 0.0032692773 0.0038573395 0.0038165827 0.0029403116 0.0037088683 0.0033216788 0.0029956244 0.0029665125 0.003790382 0.0037234244 0.003120806 0.0032314316 0.0028093078 0.003659378 0.0035109068 0.002724883 0.0033129451 0.0028442421 0.0033537021 0.003208142 0.0055720364 0.003411926 0.0036943124 0.0034061037 0.0030509373 0.0035429301 0.0031440957 0.0045851395 0.0039912546 0.0028820876 0.0030975165 0.0035924204 0.0041921274 0.0037350692 0.0029985358 0.002917022 0.010756883 0.0038224051 0.0034672387 0.003048026 0.0033013003 0.0038282275 0.005714685 0.0033566132 0.0033275012 0.0030800493 0.0034352157 0.0031906748 0.0027161492 0.002829686 0.004282375 0.0032139644 0.003120806 0.0029665125 0.0030684045 0.0032314316 0.0038980963 0.0037729149 0.003965054 0.003499262 0.0035167292 0.0029082885 0.0036360885 0.0028762652 0.003016003 0.0035225516 0.0029927134 0.0037263355 0.0039592315 0.0031615628 0.004969418 0.003062582 0.0037292468 0.003880629 0.0037350692 0.0038718956 0.0035109068 0.0033362347 0.003531285 0.004503626 0.0035341964 0.003673934 0.0032780108 0.0046579195 0.003717602 0.0038398723 0.0035691308 0.0039417646 0.004299842 0.005065487 0.004593873 0.0030800493 0.003703046 0.0062066778 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.05339078 0.05057512 0.052705135 0.05249462 0.053496037 0.051164273 0.055618744 0.056096792 0.052177384 0.051387947 0.051538523 0.054165594 0.050854348 0.051127724 0.052009262 0.055509098 1551.0 7.7472596 12016.0 0.007906125 0.0064081224 0.006075233 0.005659121 0.0057423436 0.019141145 0.0054926765 0.005659121 0.0065745674 0.017976033 0.005908788 0.0049933423 0.01830892 0.005409454 0.0065745674 0.0044107856 0.005825566 0.0054926765 0.0063249003 0.008571904 0.0053262315 0.0052430094 0.0059920107 0.0064081224 0.0061584553 0.0065745674 0.0065745674 0.0059920107 0.0044107856 0.0063249003 0.005409454 0.0049933423 0.018558588 0.032539945 0.005825566 0.0064081224 0.06108522 0.006741012 0.0061584553 0.035203062 0.0059920107 0.033538613 0.005659121 0.0050765644 0.0061584553 0.007822903 0.03229028 0.005659121 0.03453728 0.0068242345 0.005825566 0.006741012 0.005825566 0.005159787 0.006241678 0.006990679 0.033122502 0.018974701 0.0055758986 0.005409454 0.0050765644 0.005159787 0.005908788 0.021554593 0.005825566 0.0094041275 0.0063249003 0.007656458 0.01090213 0.016394807 0.0069074566 0.008821571 0.0059920107 0.0094041275 0.0066577895 0.042526633 0.0095705725 0.00915446 0.009986685 0.0095705725 0.0063249003 0.017393475 0.0094873505 0.021554593 0.012483356 0.0066577895 0.0053262315 0.0057423436 0.0059920107 0.018059254 0.005908788 0.0052430094 0.0053262315 0.006075233 0.006075233 0.0057423436 6.1690326 0.0 0.0 0.0 9.0 343501.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 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 -2.0 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 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 0.0 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 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 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 1.0 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 2.0 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 -1.0 -1.0 -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 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.14113925 0.0062645446 0.0066645197 0.006394407 0.005137342 0.00435817 0.004514004 0.0043737534 0.004217919 0.0027582697 0.0035634143 0.0026699635 0.0037400266 0.0028621592 0.004155585 0.003625748 0.0071268287 0.0049191737 0.0034439412 0.003475108 0.0032621343 0.0058905417 0.003334857 0.002966049 0.003656915 0.0031062998 0.002903715 0.0038594997 0.003376413 0.0032621343 0.0036984708 0.0040724734 0.006280128 0.0027115194 0.00315305 0.0036101646 0.0031686337 0.0032309673 0.0029816322 0.002706325 0.004119224 0.0023219332 0.0033296626 0.0025764627 0.002706325 0.00205182 0.0032257729 0.002212849 0.0039633894 0.0039841672 0.0043010307 0.0024206282 0.0019167636 0.0025816571 0.003246551 0.0029400764 0.0028985206 0.00295566 0.0027271027 0.0029141041 0.0023582946 0.00220246 0.003464719 0.003314079 0.011542138 0.004726978 0.0046334774 0.0033816074 0.0036932763 0.005989237 0.0041140295 0.003615359 0.003023188 0.0027894366 0.0023011554 0.0018024851 0.0044984207 0.0050074803 0.00265438 0.0028829372 0.007937168 0.0053295377 0.004675033 0.0032777179 0.003085522 0.0047633396 0.004129613 0.0035789977 0.0027219083 0.0020050697 0.0020050697 0.00265438 0.0035218585 0.0027686586 0.0025764627 0.0047217836 0.004467254 0.0047737285 0.00435817 0.003927028 0.004939952 0.0046854224 0.0034127743 0.0020362367 0.004238697 0.0020777925 0.0032257729 0.0022492104 0.0050957864 0.0018076795 0.0038335272 0.003527053 0.0031634392 0.003615359 0.005895736 0.0027686586 0.0036205535 0.004389337 0.0028569647 0.002706325 0.0029089095 0.0024777676 0.0022544048 0.0018284575 0.0033296626 0.0032673287 0.0032933012 0.0036309424 0.005075008 0.0047945064 0.0020466256 0.004217919 0.0022492104 0.0037348322 0.0018752078 0.0026387966 0.004425698 0.006519074 0.0026284077 0.007724194 0.0038594997 0.008404671 0.0032621343 0.0038906666 0.005028258 0.0032673287 0.0025660738 0.0027790475 0.0036309424 0.0033556349 0.0017920961 0.0023167387 0.003895861 0.0029816322 0.0016778174 0.0024985455 0.0026647688 0.0022751829 0.001672623 0.0024362118 0.0033244682 0.0028465758 0.0023790724 0.0038179439 0.0025660738 0.0020414311 0.0023479057 0.0023063498 0.0040984456 0.0030699384 0.003095911 0.002773853 0.002212849 0.0021816823 0.0026284077 0.002643991 0.0033504404 0.0030283825 0.0023219332 0.0022751829 0.0015583445 0.0016310671 0.0020881814 0.002093376 0.003947806 0.0035841921 0.0021453209 0.0016882065 0.002264794 0.001963514 0.0024673787 0.003215384 0.004997091 0.002223238 0.0017972905 0.0025660738 0.005646401 0.002794631 0.003636137 0.004280253 0.0048620347 0.0028777428 0.0034906915 0.0021349317 0.0043010307 0.0016102892 0.0019790975 0.0017972905 0.0031634392 0.0022284326 0.0014960107 0.0025660738 0.005059425 0.002082987 0.0018648189 0.0028465758 0.004295836 0.0025349068 0.0021712931 0.0021712931 0.0041088345 0.0018076795 0.0018907912 0.002545296 0.0031686337 0.0016985954 0.0047010058 0.0033244682 0.004368559 0.0024985455 0.0032205784 0.0021193484 0.003334857 0.002514129 0.0038491108 0.0020414311 0.0028985206 0.0017349567 0.002836187 0.002015459 0.0017297623 0.003215384 0.0020777925 0.0031218834 0.0025608793 0.0028413814 0.0018596243 0.0027167138 0.0036517205 0.0033816074 0.002893326 0.0026336021 0.0037815825 0.0028206033 0.0034231632 0.016554812 0.032038562 0.0 0.0 2.6111297e-06 0.0 0.0 2.6111297e-06 2.6111297e-06 0.0 2.6111297e-06 0.0 2.6111297e-06 0.0 0.0 0.0 3.3944685e-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 0.004851479 7.05005e-05 4.7000332e-05 1.8277908e-05 4.7000332e-05 2.6111296e-05 7.572276e-05 4.7000332e-05 3.6555815e-05 2.3500166e-05 3.1333555e-05 1.3055648e-05 2.0889038e-05 1.0444519e-05 1.0444519e-05 1.8277908e-05 0.017444957 0.00024022393 0.00014622326 0.00035772476 0.00073633855 0.00030550218 0.0010105072 0.00042822526 6.788937e-05 1.0444519e-05 2.8722427e-05 0.0001227231 2.3500166e-05 1.0444519e-05 0.00021150151 0.0002454462 0.0041516963 0.00012011197 3.6555815e-05 0.0001227231 0.00040994736 2.3500166e-05 3.9166945e-05 4.9611463e-05 3.6555815e-05 5.2222595e-06 1.8277908e-05 1.3055648e-05 1.8277908e-05 4.9611463e-05 0.00015405664 9.9222925e-05 0.007979612 0.0003525025 6.0055983e-05 0.0002637241 0.00094522897 9.138954e-05 0.00013055648 9.4000665e-05 7.833389e-05 4.4389206e-05 3.9166945e-05 2.3500166e-05 2.3500166e-05 0.00012533422 0.00022455715 0.00021933489 0.018518131 0.0007572276 0.00030289104 0.0004491143 0.0016476228 0.0003002799 0.0011697861 0.000483059 0.00035511365 0.00017233456 0.00022977941 0.00020105699 0.00019583473 0.000282002 0.00037339155 0.0013003426 0.009089342 0.00016450117 0.00027677976 0.00032116895 0.00067106035 0.00080422795 0.0020862927 0.0011384526 0.00017233456 1.5666777e-05 3.6555815e-05 0.00013316762 7.05005e-05 2.0889038e-05 0.000109667446 0.0009321733 0.003039355 0.0001488344 0.000112278576 0.00019583473 9.9222925e-05 7.572276e-05 0.00043605865 0.00028722428 7.05005e-05 3.3944685e-05 1.8277908e-05 9.4000665e-05 7.572276e-05 2.3500166e-05 7.311163e-05 0.000564004 0.009888348 0.00069978274 0.00057444855 0.00054833724 0.0014178434 0.00081467244 0.0033161347 0.0016136782 0.00019061247 0.00013838988 0.00018016795 0.00022455715 0.000141001 0.0003081133 0.00020366811 0.0011306192 0.005958598 0.0003942806 0.00038644718 0.00057444855 0.0012742312 0.0009713402 0.003261301 0.0019191803 4.1778076e-05 0.00015666778 0.00019322359 0.00018016795 0.000104445186 0.00030550218 0.000107056316 0.00021411263 0.0075827204 0.0015040106 0.00091128424 0.00062406 0.0014622327 0.0010940633 0.0024309617 0.0014256769 0.0005979487 0.00043344754 0.00039166945 0.00045955883 0.00070761616 0.00033944685 0.0004125585 0.0010131183 0.014601437 0.0049663684 0.0005901153 0.00071806065 0.007170162 0.0073607746 0.0030863553 0.0016058447 0.00977868 0.0022821273 0.0011175635 0.0009347844 0.0025458515 0.0027077415 0.0025458515 0.007506998 0.010206906 0.004224808 0.0011227857 0.0008721173 0.0059220423 0.0047418117 0.0022925718 0.0015222887 0.0068228818 0.0015745112 0.0010888411 0.0013551763 0.0022064047 0.0023604613 0.0018382353 0.0053240936 0.05734041 0.04897435 0.04604205 0.04336042 0.0451621 0.043436144 0.039556004 0.041621406 0.049420852 0.040161785 0.04116707 0.036064923 0.045112487 0.036508814 0.040297564 0.040960792 1024.0 7.8066406 7994.0 0.016762571 0.0031273456 0.004878659 0.005379034 0.006379785 0.0030022517 0.0061295973 0.0052539404 0.0052539404 0.004128096 0.00788091 0.003377533 0.003377533 0.0037528146 0.009882412 0.003502627 0.0073805354 0.008381286 0.011383537 0.0058794096 0.0057543158 0.0028771579 0.010382787 0.0058794096 0.0058794096 0.010632975 0.004378284 0.003377533 0.0030022517 0.003377533 0.008631473 0.005629222 0.00788091 0.00850638 0.008631473 0.015011258 0.007505629 0.008131098 0.009632224 0.009757318 0.006379785 0.011258444 0.003377533 0.0045033777 0.015261446 0.00688016 0.007755817 0.01113335 0.010632975 0.006755066 0.0066299723 0.016762571 0.007505629 0.005379034 0.016262196 0.005504128 0.002752064 0.0046284716 0.0018764073 0.0030022517 0.009006755 0.004128096 0.00788091 0.04903678 0.008631473 0.05328997 0.02914686 0.014635977 0.01801351 0.034400802 0.009757318 0.007505629 0.004753565 0.021766325 0.0066299723 0.0050037527 0.021391043 0.012259195 0.023017263 0.02551914 0.01275957 0.007005254 0.04816112 0.01701276 0.031148361 0.012509382 0.027645735 0.0072554415 0.008131098 0.008631473 0.0037528146 0.003377533 0.004878659 0.0046284716 0.0093820365 0.0037528146 6.139666 2.0 0.0 0.0 1.0 192512.0 196608.0 0.0 0.0 98.0 0.0 1.0 0.0 0.0 0.0 1039747800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 180224.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -180224.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6225543 0.0 3.564028 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6788.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -179680.0 0.0 2072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 181620.0 2072.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 484.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13007487 0.010101996 0.0071831597 0.0054318574 0.0085720485 0.0054589845 0.0039333766 0.0037608508 0.007799479 0.0028472221 0.006751302 0.0033626303 0.004809028 0.0036783854 0.0036056857 0.004378255 0.005990668 0.0027875435 0.002703993 0.0019976129 0.004716797 0.003891059 0.0030902778 0.0027593316 0.0032573785 0.002249349 0.0027560764 0.0021668838 0.0037912326 0.0033702257 0.002204861 0.0021082899 0.0064127604 0.0023426649 0.0027788628 0.002280816 0.010129123 0.0032150608 0.0024001736 0.002204861 0.0037152779 0.0027690972 0.0020355904 0.0029611546 0.0028059895 0.0027224391 0.0033951823 0.002548828 0.0029654948 0.0026649307 0.0026150174 0.0041156686 0.003235677 0.0028059895 0.0023415799 0.0028363715 0.0028515626 0.0035362414 0.002841797 0.003846571 0.002689887 0.0029665797 0.0026323784 0.0017382812 0.00538737 0.004357639 0.0038530815 0.0072840713 0.007223307 0.0067100693 0.0034581162 0.00265625 0.0036794704 0.004365234 0.0028504774 0.0032486978 0.0040397136 0.0041981335 0.0030240885 0.0024424912 0.0068044704 0.004045139 0.0038400607 0.0034906685 0.0031803385 0.0028732638 0.004341363 0.00406033 0.0031651475 0.0027940539 0.0026161023 0.0026584202 0.0030425347 0.004189453 0.003656684 0.0031174044 0.0031901042 0.0032150608 0.002592231 0.0025249566 0.0034657118 0.0041069877 0.0038823786 0.0022384983 0.0039312067 0.0038552517 0.005342882 0.0022840712 0.003359375 0.0025434028 0.0030750867 0.0030555555 0.0029090713 0.0024902343 0.004018012 0.004029948 0.0077213543 0.0060101994 0.002983941 0.004113498 0.0023860678 0.002140842 0.0027853732 0.0023394097 0.0030577257 0.0029893664 0.0023307293 0.002109375 0.005248481 0.003403863 0.0034027777 0.0064290366 0.0026226128 0.004813368 0.0021473523 0.0029134115 0.0038639323 0.0061707897 0.0028493924 0.0154416235 0.002329644 0.0059863282 0.0025672743 0.001751302 0.0059450953 0.0027473958 0.0046484377 0.003267144 0.0029644098 0.002077908 0.0023524305 0.002809245 0.0021375867 0.0026595052 0.002328559 0.0022005208 0.0025347222 0.0023101128 0.0020985242 0.0019216579 0.003546007 0.0031651475 0.0028081597 0.002546658 0.0035698784 0.00327908 0.0023524305 0.0024457464 0.002701823 0.0023654513 0.0021440971 0.0022677951 0.002186415 0.0020822482 0.0028070747 0.0018825955 0.003125 0.0023524305 0.0019075521 0.0019151475 0.00249783 0.0022265625 0.0022092015 0.0019748264 0.0032432727 0.0030696616 0.002470703 0.0035243055 0.0021788194 0.0025347222 0.0025705295 0.002297092 0.005766059 0.0034255642 0.0032074652 0.003889974 0.0033257378 0.0025021702 0.0029589843 0.003142361 0.0027549914 0.0035753038 0.001875 0.002467448 0.004046224 0.0024294704 0.0030978732 0.0026226128 0.0028342013 0.002781033 0.0033550346 0.0029036459 0.002717014 0.0025227864 0.002111545 0.0021799046 0.0031922744 0.002237413 0.002154948 0.0022775608 0.002642144 0.0026063367 0.0022905816 0.0025770399 0.0029286025 0.0020724826 0.0023947482 0.0019726562 0.0028396267 0.0021039497 0.002374132 0.0025097656 0.007840712 0.004082031 0.0025173612 0.0033051216 0.0034711373 0.0024164496 0.0029796008 0.003077257 0.0035872397 0.002623698 0.0020757378 0.0023101128 0.0032476129 0.0022786458 0.0027875435 0.0032986111 0.0035329862 0.0026019965 0.0023676215 0.0023025174 0.0029709202 0.0022005208 0.0028385418 0.021702474 0.009980707 0.0 4.3451055e-06 0.0 5.431382e-07 5.431382e-07 1.4664732e-05 3.8019675e-06 0.0 5.431382e-07 5.431382e-07 0.0 0.0 0.0 1.0862764e-06 4.3451055e-06 0.014319296 5.431382e-07 2.7156912e-06 0.0 7.0607966e-06 1.6294147e-06 1.0862764e-06 1.6294147e-06 2.7156912e-06 5.431382e-07 5.431382e-07 2.7156912e-06 5.9745203e-06 1.0862764e-06 5.9745203e-06 0.0012193453 0.0040414915 1.9552976e-05 9.233349e-06 1.0319626e-05 2.3898081e-05 8.690211e-06 1.19490405e-05 7.603935e-06 4.3451055e-06 4.888244e-06 4.3451055e-06 5.431382e-07 2.7156912e-06 3.2588293e-06 1.6294147e-06 0.00029492404 0.006213501 0.00015968263 2.0639252e-05 7.0607966e-06 6.028834e-05 1.6294147e-05 2.5527495e-05 1.7923561e-05 4.4537333e-05 1.0319626e-05 1.0862765e-05 2.0096113e-05 1.4121593e-05 8.690211e-06 2.3354944e-05 0.0011335295 0.0036200162 5.3770684e-05 8.255701e-05 1.7380422e-05 7.766877e-05 1.7923561e-05 2.6613772e-05 3.4760844e-05 3.964909e-05 1.2492179e-05 9.776488e-06 9.233349e-06 1.7380422e-05 1.8466699e-05 1.2492179e-05 0.0003992066 0.0039350362 3.2588294e-05 0.0001265512 4.236478e-05 0.0001406728 2.9329463e-05 0.00033185745 0.00015696694 4.9425576e-05 1.9009838e-05 1.1405902e-05 2.7156912e-06 2.3354944e-05 4.3994194e-05 9.233349e-06 0.00060722855 0.0048078597 3.4217708e-05 5.0511855e-05 0.00011188647 0.0004763322 3.910595e-05 0.00010319626 5.8115787e-05 4.562361e-05 7.495307e-05 4.4537333e-05 3.2588294e-05 4.1278505e-05 0.00016402773 0.000106998225 0.00048284986 0.016409835 0.00048719498 0.0009287663 0.00027917305 0.0011367883 0.00017054539 0.0014789654 0.00083914853 0.00055074214 0.00042201838 9.66786e-05 7.006483e-05 0.0002400671 0.00012057668 0.0001960729 0.002157345 0.0069076316 0.00016131205 0.0008157936 0.0006441619 0.0005583461 0.0002302906 0.0012617101 0.0005941932 8.853153e-05 0.00020747879 4.6709887e-05 3.7476537e-05 6.1374616e-05 5.2684405e-05 5.485696e-05 0.0005132656 0.009803101 0.0003383751 0.0008244838 0.0011449354 0.002306165 0.0009124722 0.0035771083 0.0019487799 0.00037204966 0.0005159813 0.00017651991 0.00014664732 0.00023409257 0.000200418 0.00019933173 0.00065882667 0.0128826955 0.00056812254 0.0015153557 0.0025761046 0.0027721773 0.0013850024 0.0033609392 0.0018396091 0.0006338423 0.0018971817 0.00031230447 0.00031393388 0.00038617128 0.00040300854 0.00034923787 0.0010623783 0.0034570748 0.00021997097 0.00047253023 0.0002981829 0.0010276175 0.00010210998 0.00066643057 0.0004393988 0.0003568418 0.00027319853 0.00018955524 0.00024767104 0.0002884064 0.00014556105 0.00012546493 0.0005887618 0.0043684607 0.00035032415 0.00046818514 0.00037639478 0.001402926 0.0004937126 0.0010911647 0.0005643206 0.0007804896 0.00036716144 0.00020367683 0.00019281407 0.0004931695 0.00022594549 0.0002943809 0.0005626912 0.022094863 0.0037655772 0.0037329888 0.0024137062 0.00707003 0.0067647863 0.0026847322 0.0039230874 0.0130505245 0.0020460016 0.0014729908 0.0016142067 0.00585503 0.0016142067 0.004819265 0.008290461 0.032717016 0.008164453 0.0068592923 0.0053982507 0.012219523 0.012268405 0.0049588517 0.008159566 0.019942949 0.0027873854 0.0031208722 0.0024338022 0.010201765 0.0027993342 0.007183003 0.014289423 0.0554354 0.035532102 0.03885122 0.03341495 0.039554585 0.035493538 0.033107534 0.035877537 0.036057316 0.036410898 0.036491282 0.035004713 0.033274274 0.03562661 0.035547853 0.030527083 3718.0 8.86014 32942.0 0.027745735 0.004887378 0.007346245 0.0051909415 0.01721207 0.0057070004 0.0036731225 0.0038856172 0.0067694737 0.0073158885 0.0062837712 0.0054945056 0.0063748406 0.0057070004 0.010897942 0.0064355535 0.007953373 0.0069819684 0.008044442 0.0073766015 0.0061319894 0.006344484 0.0050998726 0.0054034363 0.00537308 0.0063141277 0.0055855745 0.0052516544 0.0048570214 0.0058284258 0.0047052396 0.0057373564 0.016149595 0.018942384 0.009471192 0.016301379 0.015724607 0.012749681 0.00898549 0.010017606 0.008742639 0.013751442 0.0060409205 0.0057373564 0.0112622185 0.010837229 0.008803352 0.008469431 0.015937101 0.012355048 0.011444356 0.015542469 0.011110436 0.00789266 0.013630017 0.012537187 0.0064355535 0.006010564 0.005949851 0.004826665 0.006617692 0.0063141277 0.004735596 0.007437314 0.005949851 0.02191731 0.008317649 0.014813916 0.015603181 0.04255965 0.008256936 0.011505069 0.011171149 0.026470767 0.008044442 0.007862303 0.02191731 0.012537187 0.022797644 0.02586364 0.012385405 0.005949851 0.024801165 0.019094165 0.036124095 0.013144314 0.006344484 0.015663894 0.007953373 0.008499787 0.0060409205 0.0030356385 0.004826665 0.00428025 0.003794548 0.003794548 6.3211136 0.0 5.0 0.0 11.0 921600.0 942080.0 0.0 0.0 348.0 0.0 1.0 0.0 0.0 0.0 1354860500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 233472.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233472.0 0.0 598016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.766708 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7994976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6094594 0.0 7.7941113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 43544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -230495.0 0.0 594072.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 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 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 -3.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 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 -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 1.0 1.0 -3.0 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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 2.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -3.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 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 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 273360.0 594072.0 344064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1472.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.0094292825 0.0039811106 0.003966322 0.0039479365 0.0039573293 0.0040056915 0.003932748 0.003979512 0.0040532546 0.003918759 0.003900973 0.0038584059 0.0038925793 0.0038771913 0.0038552084 0.003924355 0.0039465376 0.003931549 0.003876392 0.0038340248 0.0039387434 0.003906968 0.0038576066 0.0038654006 0.0038869837 0.0038703966 0.003830028 0.0038372222 0.0038965764 0.0038881828 0.0038959768 0.0039661224 0.00407244 0.0039409418 0.00396912 0.0040262756 0.0039595272 0.0038933787 0.0038276298 0.0038540093 0.003864801 0.0038572068 0.003890381 0.0038701966 0.0038767916 0.0038206351 0.003897176 0.003850412 0.0038572068 0.0038478142 0.003842818 0.0038953773 0.0038398204 0.0038622029 0.00390477 0.0038741936 0.0038598047 0.003902172 0.0038654006 0.0038606043 0.0038652006 0.0039053694 0.0038691976 0.0038342245 0.0039637242 0.003817238 0.0039141625 0.0038843858 0.0038224338 0.0039893044 0.0038622029 0.0039353464 0.003867399 0.0039115646 0.00391756 0.003872395 0.0038658 0.003902172 0.003858206 0.0038536096 0.0039347466 0.0038654006 0.0038973757 0.003888982 0.0039179595 0.0038845856 0.003881188 0.00393075 0.0038883826 0.0038689976 0.0038204354 0.0038318266 0.0038791897 0.003832626 0.0038550084 0.003832426 0.0038775909 0.003901972 0.0038679985 0.0038753927 0.0038406197 0.0039283517 0.0038741936 0.0038805886 0.0038825872 0.0038933787 0.0039219568 0.0038953773 0.003872395 0.0038076453 0.0038650008 0.00384022 0.00391696 0.0038400202 0.0039321487 0.003911165 0.0039669215 0.0039661224 0.003844017 0.0037930566 0.00393015 0.0038638017 0.0038382215 0.0038644013 0.0038468149 0.0039191586 0.003868598 0.0038574066 0.003910765 0.003894378 0.0038849853 0.0038807886 0.0038534098 0.0039045701 0.003849213 0.0038528102 0.0038679985 0.003886784 0.0038224338 0.003970119 0.0038394206 0.003819436 0.0038843858 0.0038304275 0.003871196 0.003829828 0.0037922573 0.003862003 0.003862003 0.0038396204 0.003832626 0.00385301 0.0038632022 0.0038006506 0.0038861844 0.0038314268 0.003797853 0.0038262308 0.0038294285 0.003869797 0.003823433 0.0038266305 0.003768076 0.0038430179 0.003837622 0.0038154393 0.003869797 0.0038322262 0.003895577 0.003854209 0.0038861844 0.0038791897 0.0038590054 0.0038178375 0.0038793895 0.003842818 0.0037972534 0.0038090441 0.0038659999 0.0038909805 0.003810443 0.0038612038 0.0038612038 0.0038436174 0.003897176 0.0038412192 0.0038280294 0.0038679985 0.003885185 0.0038624029 0.0038759923 0.00381444 0.0038837863 0.0038937784 0.0038192363 0.0037914577 0.003864801 0.0038701966 0.003818237 0.0038614036 0.0038897814 0.0038332255 0.003841419 0.0038815879 0.0038138404 0.0038112425 0.003798852 0.0038262308 0.0038406197 0.0038282294 0.003883986 0.0038488132 0.0038536096 0.0038538096 0.0038707962 0.0038406197 0.003856807 0.0038432176 0.003818437 0.0038701966 0.003868598 0.0038861844 0.0038853849 0.003855608 0.00393015 0.0037914577 0.0038661999 0.0038562075 0.0038859844 0.003831227 0.003799052 0.0038296282 0.0039403425 0.003819636 0.0038743934 0.003932548 0.0038815879 0.0038739939 0.003869797 0.0038741936 0.0039153616 0.003833825 0.0038398204 0.0038328257 0.003855608 0.0038642015 0.0038320264 0.0038741936 0.0038913803 0.0038586056 0.0038654006 0.0039439397 0.0038588056 0.003914962 0.003979112 0.0067395703 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00032975228 8.596149e-06 2.7487686e-05 1.2994178e-06 4.997761e-07 9.995522e-08 9.995522e-08 1.3993731e-06 4.39803e-06 9.995522e-08 1.0995075e-06 1.9991045e-07 2.7987462e-06 9.995522e-07 2.5988356e-06 2.7987462e-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 0.0009505741 7.336713e-05 0.00015003278 1.6792477e-05 1.6492611e-05 1.6192746e-05 2.4289118e-05 1.4093686e-05 2.8787103e-05 4.2980746e-06 5.897358e-06 4.2980746e-06 1.0295387e-05 1.0495298e-05 1.37938205e-05 9.325822e-05 0.00062751886 3.518424e-05 8.776068e-05 1.8891536e-05 2.5988356e-05 1.759212e-05 4.8578237e-05 2.7987462e-05 1.7092343e-05 1.1894671e-05 7.896462e-06 9.595701e-06 9.395791e-06 1.4893328e-05 1.129494e-05 5.1976713e-05 0.00048598228 9.795612e-06 3.0786206e-05 2.238997e-05 8.0164085e-05 5.8873626e-05 0.00028247345 0.000176321 2.4389074e-05 6.497089e-06 5.497537e-06 5.897358e-06 1.0095478e-05 5.897358e-06 7.896462e-06 1.5293148e-05 0.0006433118 7.406682e-05 0.00012844245 3.3684908e-05 3.8482758e-05 3.6883477e-05 6.866924e-05 6.297179e-05 6.2372055e-05 9.095925e-06 8.79606e-06 1.169476e-05 1.9991045e-05 2.5988356e-05 5.3775908e-05 0.00015473067 0.0006371146 0.000114848546 0.00016762491 7.666565e-05 7.1867806e-05 6.806951e-05 3.268536e-05 2.8787103e-05 2.6688043e-05 1.7891984e-05 1.4693417e-05 1.2194537e-05 2.6188267e-05 2.2989701e-05 2.8687147e-05 0.0002906698 0.00089100085 0.00019001488 0.00023729369 0.00013663879 0.00013863789 0.000118047115 0.00013264058 0.00010785168 9.225867e-05 5.417573e-05 7.9164536e-05 6.6969995e-05 7.266745e-05 7.486646e-05 8.896014e-05 0.0005894359 0.0017261266 0.0005567506 0.00057884067 0.0003864269 0.00050227495 0.0004649917 0.00027637617 0.000299066 0.0003435461 0.00023149629 0.00039672226 0.00032715342 0.00026348195 0.00024848868 0.00029806647 0.002107356 0.0010274397 0.0002443905 0.00018451734 0.00019361326 0.0003613381 0.000294668 0.000180819 0.00029136948 0.00035284192 0.00011055047 9.2558534e-05 0.000117147516 0.00017452182 0.00011145007 0.00019691179 0.0005694449 0.061086033 0.060928103 0.060880326 0.06100737 0.06100487 0.0609399 0.060979683 0.061153803 0.06100417 0.06100487 0.060924307 0.061059445 0.06091761 0.061194684 0.0611603 0.061008368 23233.0 5.7164807 132811.0 0.01121895 0.010880123 0.011008124 0.010255175 0.010827417 0.010887653 0.010164821 0.009908818 0.009637756 0.010232586 0.010142232 0.009825993 0.010383176 0.009697991 0.010240115 0.01047353 0.010526236 0.0104509415 0.009795875 0.010270233 0.009841052 0.009901288 0.010157291 0.010315411 0.010051878 0.010511178 0.010277763 0.010307881 0.009916347 0.01061659 0.010518707 0.010006702 0.0100744665 0.010262704 0.0100744665 0.010262704 0.010255175 0.010729533 0.010804828 0.010541296 0.010353058 0.010609061 0.010466001 0.009893759 0.01002929 0.010315411 0.009984112 0.010149762 0.010518707 0.01017235 0.009848582 0.010872593 0.010488589 0.010360587 0.010157291 0.011422247 0.01003682 0.010315411 0.009705521 0.009713051 0.010164821 0.010097055 0.010194939 0.010194939 0.009923877 0.0114598945 0.01002929 0.010759651 0.011090949 0.0131615605 0.010646708 0.010804828 0.0102928225 0.011520131 0.010488589 0.010059408 0.011610484 0.010044348 0.011527659 0.0113017745 0.01047353 0.009991642 0.011392129 0.011444835 0.011896605 0.011053301 0.010337999 0.010383176 0.010255175 0.010466001 0.009886229 0.009690463 0.009773287 0.010368117 0.009901288 0.009645285 6.5828495 2.0 0.0 0.0 83.0 5003880.0 425984.0 0.0 0.0 166.0 0.0 1.0 0.0 0.0 0.0 1373832600.0 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 24576.0 1024.0 4096.0 5.0 1.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 177152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1534033 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.760672 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.480266 0.0 7.287274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24096.0 0.0 177000.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 -2.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29844.0 177000.0 245760.0 0.0 0.0 6432.0 7282576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 696.0 28672.0 0.0 0.0 0.0 0.0