Input: 0.18870595 0.01526753 0.014787316 0.027632818 0.021368165 0.02515247 0.022546375 0.032467764 0.03279216 0.0123543525 0.020877015 0.008611051 0.018284587 0.0026616806 0.0010697751 0.0028220555 0.004865927 0.0015827932 0.0010624853 0.0017185654 0.002089433 0.0028539484 0.002008334 0.00078638486 0.0012975807 0.00088388566 0.0005321538 0.0005476446 0.0015035169 0.001770505 0.00051119574 0.00039820417 0.0025104175 0.00043100817 0.00069070654 0.00062509853 0.0014278854 0.0011007566 0.0016702706 0.0003836246 0.00080005324 0.00040913883 0.000512107 0.00086201634 0.0007544921 0.00043191938 0.00082556746 0.0016812052 0.00268355 0.0008683949 0.0006141639 0.002925935 0.00079367467 0.00076087064 0.0007298891 0.00046563463 0.0010005222 0.0015035169 0.0016365553 0.0017222102 0.000717132 0.0008374133 0.00043920917 0.0004446765 0.005025391 0.0015618351 0.0005503783 0.0012656879 0.0027719385 0.004908755 0.0031373384 0.0011454065 0.0012957582 0.00094584876 0.00047474683 0.00035811038 0.0007153095 0.0020994563 0.0010178353 0.0006360332 0.0043592877 0.0013650111 0.00090757746 0.002659858 0.000872951 0.0027537139 0.0030653519 0.0030416602 0.0012711552 0.0020803206 0.0009349141 0.0012939357 0.001450666 0.002610652 0.002799275 0.002364622 0.0016620696 0.003204769 0.0018215334 0.002700863 0.0024931044 0.0046618134 0.0030872212 0.0016484013 0.0030626182 0.003516407 0.0035337203 0.001163631 0.002417473 0.001803309 0.0030134122 0.0033168492 0.002844836 0.0011909676 0.003725988 0.003569258 0.007841979 0.006785873 0.0025140624 0.0019609504 0.0015600127 0.0014041936 0.00097136304 0.0013859692 0.0018980762 0.0020620963 0.001897165 0.0011545187 0.0029286686 0.0014488435 0.0016438451 0.0041442392 0.0019536607 0.0050645736 0.0014543108 0.00094038143 0.0012173931 0.0052741547 0.00097591913 0.016019288 0.0012429073 0.004209847 0.000889353 0.00084652554 0.0013805019 0.0008191889 0.0008328572 0.0009093999 0.0011581636 0.0009340029 0.0017431683 0.0009285356 0.00111078 0.0011280932 0.0009021101 0.00078274 0.0011244484 0.0009011989 0.0009011989 0.0008529041 0.0011572524 0.00164749 0.0011700095 0.0010633965 0.0010296813 0.0012474634 0.00089208665 0.00089208665 0.0011645422 0.0008775071 0.0010069007 0.0011618085 0.0012793562 0.001061574 0.0011463177 0.0010579291 0.0013914366 0.0011025791 0.0011754768 0.00095587224 0.0010351486 0.0012192155 0.0010424383 0.001127182 0.0017941968 0.00095222733 0.0008629276 0.00091577845 0.0010169242 0.0010670414 0.0010551955 0.0010233027 0.005316071 0.0014925821 0.0025705583 0.0019691514 0.0012720664 0.0007736278 0.0015946392 0.001995577 0.0015253862 0.0017604815 0.0008929979 0.0009258019 0.010460832 0.00086475 0.0013713896 0.00095222733 0.001422418 0.0009604283 0.00089390913 0.0008355909 0.001045172 0.0006852392 0.0010779761 0.0009904987 0.0013668335 0.0008009644 0.0006770382 0.0009986997 0.0009777416 0.0007034636 0.0007034636 0.0006934402 0.0015436106 0.00064605667 0.0006451454 0.0006332995 0.0013650111 0.00061325263 0.0006688372 0.0006497015 0.006498838 0.0019336138 0.00069617387 0.0027919852 0.0031282264 0.00068706163 0.00075175846 0.001475269 0.0020438717 0.0015581902 0.0007544921 0.00094676 0.0013285622 0.0010469945 0.0012793562 0.00115543 0.0022370508 0.0008948203 0.0006232761 0.000831946 0.0022817007 0.0012474634 0.0010989341 0.15042824 0.035410885 3.833236e-05 3.650701e-06 9.1267526e-07 1.2777453e-05 1.8253505e-06 8.214077e-06 4.1070384e-06 1.3690128e-06 1.3690128e-06 1.3690128e-06 1.8253505e-06 4.5633763e-07 0.0 2.281688e-06 2.4642231e-05 0.0070440276 0.00017386464 4.5633763e-07 1.3690128e-06 8.214077e-06 5.4760512e-06 2.9205608e-05 1.734083e-05 1.2777453e-05 1.3690128e-06 1.3690128e-06 9.1267526e-07 1.3690128e-06 1.8253505e-06 9.1267526e-07 0.00017614632 0.006720028 0.0003819546 7.255768e-05 6.479994e-05 7.849007e-05 2.9661946e-05 1.2321116e-05 1.3690128e-05 2.1447868e-05 6.3887264e-06 1.09521025e-05 9.126752e-06 1.14084405e-05 2.281688e-06 1.0039427e-05 3.1487296e-05 0.010048554 0.001131261 0.0004499489 3.7419686e-05 2.874927e-05 3.0118283e-05 3.1943633e-05 8.259711e-05 2.7380256e-05 2.874927e-05 3.8788698e-05 5.0653474e-05 3.468166e-05 3.1943633e-05 3.239997e-05 6.434361e-05 0.016768582 0.00047459113 0.0006292896 0.00052433193 0.0006397853 0.00093092874 0.00052433193 0.00072648947 0.000107695676 1.8253504e-05 1.4146466e-05 1.6884493e-05 1.6884493e-05 1.4602804e-05 1.734083e-05 7.118867e-05 0.013697886 0.000532546 0.00031350393 0.0001661069 0.00038971234 0.00015515479 0.00033038843 0.00032628138 0.00043762778 8.579147e-05 6.6168956e-05 6.525628e-05 0.000109521025 5.8411217e-05 0.00024414062 0.000778512 0.03924549 0.0011764384 0.00045679396 0.00035092363 0.0004426475 0.0031802168 0.008303063 0.0006511938 0.00051109813 0.00012458017 0.00013507594 0.00017340829 0.00024459697 0.00015926184 0.00021447868 0.011920451 0.08605478 0.0013466523 0.0008798189 0.0005120108 0.0011020553 0.0027243355 0.006505549 0.0089538 0.0031619633 0.00025509272 0.0016715646 0.0024035303 0.0024797386 0.002507119 0.0033691407 0.041493412 0.12276167 0.0019864377 0.001521886 0.00094233715 0.0017386463 0.0005069911 0.0017924942 0.0037232586 0.006457634 0.009581721 0.010370729 0.008558156 0.007501734 0.005221871 0.004165906 0.06737414 0.016826537 0.00037100248 0.0005914135 0.0006064727 0.0018221561 0.0012065567 0.0048650154 0.002823817 0.0007036726 0.0009181513 0.0005512558 0.0004015771 0.00063750363 0.00041663623 0.0006397853 0.004936204 0.016727967 0.0007867261 0.0010728497 0.0013398073 0.0020311587 0.0015209733 0.0040705316 0.003161507 0.00078170636 0.00093914283 0.00055901357 0.0004148109 0.0010409061 0.000390625 0.00043032638 0.0030497042 0.0060816114 0.000533915 0.00043397708 0.00048736858 0.0013001058 0.0011317172 0.00257922 0.0016784098 0.00042850102 0.00048828125 0.00018207871 0.00020033222 0.0002751716 0.00024414062 0.00022178008 0.0014903987 0.0065831263 0.000888033 0.0007000219 0.0006292896 0.0011066187 0.0012631426 0.0013493904 0.0013617114 0.0016647197 0.0004586193 0.00017249562 0.000245966 0.0012704439 0.00022543078 0.0007456557 0.0018960828 0.04324894 0.009162803 0.0041120583 0.006669374 0.01059114 0.014275153 0.006331228 0.012337544 0.026092015 0.0018440603 0.0020416544 0.0030921437 0.016207287 0.0030711521 0.0102607515 0.026924375 0.018400446 0.0047865254 0.0031847802 0.0047865254 0.006085262 0.006359521 0.0050589587 0.0059844116 0.009376826 0.001339351 0.0016628943 0.0017669393 0.005585116 0.0021835754 0.0040983683 0.009060127 0.0016405337 0.0006539318 0.00068633177 0.0010409061 0.000531177 0.00052615727 0.0012695312 0.0009240837 0.00052935164 0.00033495182 0.00039838275 0.00035457432 0.00036096305 0.000320349 0.00031122225 0.0003979264 3101.0 15.503063 48075.0 0.019594384 0.0018720749 0.0050546024 0.003348934 0.0058034323 0.004264171 0.00085283414 0.0022464897 0.001976079 0.0019136765 0.0022464897 0.003598544 0.0036401455 0.0033697349 0.009901196 0.005325013 0.021300051 0.010608424 0.0054082163 0.005179407 0.0034113366 0.0021216848 0.0023296932 0.0023088923 0.0041809673 0.00474259 0.0026417056 0.0021632866 0.0027665107 0.0030577222 0.0027041081 0.0040145605 0.011378055 0.014581383 0.0041601663 0.01349974 0.04104004 0.0075299013 0.007301092 0.012355695 0.003931357 0.011690068 0.002475299 0.002350494 0.0038481539 0.008299532 0.006593864 0.0046385857 0.010878835 0.00299532 0.0059698387 0.0132917315 0.006302652 0.0024336975 0.007197088 0.01701508 0.0057618306 0.002371295 0.0027457098 0.00095683825 0.0051378054 0.0018720749 0.0009152366 0.012022881 0.0017680707 0.03143006 0.008341134 0.028351534 0.021820072 0.06485699 0.010837234 0.013978159 0.012438898 0.03925117 0.002350494 0.0036401455 0.023525741 0.015891835 0.03654706 0.04428497 0.0224857 0.0010192408 0.04445138 0.033884555 0.060884036 0.01275091 0.004971399 0.011274051 0.0065106605 0.009339574 0.0021840874 0.0003328133 0.007405096 0.00022880915 0.014186167 0.0012896516 5.810336 0.0 47.0 0.0 17.0 1097427.0 77824.0 1.0 0.0 164.0 0.0 1.0 1.0 0.0 0.0 1193211800.0 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 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 8.0 0.0 8.0 0.0 5.0 0.0 4.0 0.0 61440.0 1024.0 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 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.4401218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2667413 0.0 4.6074405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7148.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61370.0 0.0 1768.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 -1.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 61792.0 1768.0 73728.0 0.0 0.0 9208.0 71168.0 0.0 0.0 56.0 65320.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 51152.0 0.0 0.0 692.0 4096.0 64.0 61616.0 0.0 0.0


Input: 0.056665637 0.008300083 0.0061735553 0.0056559 0.005756325 0.0049591362 0.0041888654 0.0054177786 0.005045067 0.005627947 0.0037488586 0.004467364 0.0049632774 0.0031846145 0.004324491 0.004647508 0.0050398903 0.0037581765 0.004921865 0.0041536647 0.004363833 0.0031784025 0.0041081114 0.00383686 0.00507095 0.0033440522 0.0031639081 0.00293614 0.0041547003 0.003436195 0.0037882004 0.0037954475 0.0061776964 0.0038151185 0.0034889956 0.0030241413 0.0048939115 0.0041691945 0.003847213 0.0037198698 0.0047251564 0.003893802 0.0033243813 0.0030955777 0.004374186 0.0037312582 0.0037281523 0.0035842443 0.005511992 0.0039548855 0.0030986837 0.0028988689 0.0036825987 0.0030769422 0.0026959481 0.0028615976 0.0041733356 0.0033140283 0.003512808 0.0033357698 0.0040025096 0.003222921 0.003506596 0.003453795 0.0065990677 0.0039590267 0.0036204802 0.0032280975 0.0041650534 0.0032218855 0.0035449024 0.0030707303 0.0050067604 0.003776812 0.0037084816 0.0035842443 0.004133994 0.003129743 0.0035697499 0.0034682895 0.0051672338 0.0036318684 0.0036494688 0.0033305932 0.0039248616 0.0033823587 0.0033626878 0.0035449024 0.0046495786 0.0036546453 0.003809942 0.0035055606 0.0041091465 0.0033823587 0.0036794927 0.0037861296 0.005912657 0.0036329038 0.0033450876 0.002949599 0.004010792 0.0030614126 0.0032622628 0.003039671 0.0049694893 0.003169085 0.0031949675 0.0030510593 0.0035780324 0.002839856 0.003083154 0.0031918616 0.0045098118 0.003282969 0.003222921 0.0031421666 0.0038875903 0.0033295578 0.0032912514 0.0036256567 0.004614378 0.0033016044 0.0034889956 0.0031639081 0.0040387455 0.003189791 0.0034713955 0.003339911 0.008646912 0.0045988485 0.0040180394 0.0035221255 0.004361762 0.0034424067 0.0030168942 0.0033854647 0.004541906 0.0038316834 0.0029682347 0.003182544 0.0037281523 0.0028036202 0.002855386 0.0029889408 0.0052262465 0.003209462 0.0034941721 0.0030148237 0.0036577513 0.003180473 0.0033067812 0.0032695099 0.004541906 0.0028408915 0.0030427768 0.0027031952 0.0035221255 0.0032384505 0.0029858348 0.0031514845 0.005001584 0.003410312 0.0032757218 0.0028005145 0.003776812 0.0030210353 0.003056236 0.0031815085 0.0041370997 0.0029951527 0.0031173192 0.0030148237 0.0036463628 0.002838821 0.0029175044 0.0030344946 0.00467132 0.0031204252 0.0038451424 0.0028502091 0.0035562909 0.0031587316 0.0029837643 0.0031204252 0.00425409 0.003153555 0.0033368052 0.003165979 0.0036525747 0.0031918616 0.0033295578 0.0033440522 0.0067191636 0.004060487 0.0037209052 0.0033326638 0.0041205348 0.0032601922 0.0033016044 0.0032353448 0.004336915 0.003339911 0.0031090367 0.003072801 0.0036360098 0.0029858348 0.00308626 0.002805691 0.00425409 0.0032757218 0.0030904012 0.0029847997 0.0037157286 0.0030065412 0.0029340694 0.0029475284 0.0039755916 0.0031142135 0.0027342546 0.0026400413 0.003533514 0.0029454578 0.0035790678 0.002883339 0.004948783 0.0032353448 0.0033854647 0.0029775524 0.003799589 0.0030717656 0.0032115325 0.002909222 0.004458046 0.0054560853 0.0034724306 0.0031338842 0.0037757766 0.0030707303 0.0032353448 0.003180473 0.004607131 0.0033274873 0.0034227357 0.0030407063 0.003746788 0.0030872952 0.0033109223 0.003239486 0.0043493384 0.0030355297 0.003189791 0.0028615976 0.004010792 0.003099719 0.004234419 0.004513953 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919988 0.062015865 0.062478747 0.055305887 0.0606578 0.05955891 0.054957557 0.054462537 0.060477417 0.05316201 0.05213154 0.052931346 0.05644158 0.050537627 0.056629222 0.05385037 4033.0 5.7022066 22997.0 0.01713267 0.010523112 0.009349045 0.008696786 0.013480019 0.012479888 0.011871113 0.011349306 0.012653825 0.009740401 0.008435883 0.008696786 0.013914859 0.010610079 0.011784146 0.009914337 0.016741315 0.011871113 0.0087402705 0.0074792365 0.009914337 0.00852285 0.007914076 0.008392399 0.010262208 0.008435883 0.009522981 0.008870723 0.011479759 0.009131626 0.009696917 0.009131626 0.018045831 0.010914467 0.01039266 0.009044658 0.010827499 0.008827238 0.010653564 0.008348915 0.01426273 0.01161021 0.009740401 0.008914206 0.011436274 0.009349045 0.011653694 0.009566465 0.014741053 0.009609949 0.009914337 0.009044658 0.012045049 0.009479498 0.009566465 0.009870852 0.013697439 0.009218594 0.010436144 0.009566465 0.011088403 0.0097838845 0.01039266 0.010653564 0.017915381 0.011001435 0.009696917 0.0082184635 0.013088664 0.008261947 0.009436013 0.008305431 0.015393312 0.0092620775 0.008870723 0.008696786 0.011305822 0.008001043 0.00995782 0.007870592 0.013219115 0.008001043 0.008696786 0.008827238 0.011392791 0.009522981 0.008261947 0.007914076 0.010914467 0.009044658 0.012001566 0.008479367 0.011349306 0.008914206 0.010001305 0.0087402705 6.554771 0.0 0.0 0.0 14.0 965894.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.33640847 0.02592847 0.0072529805 0.003145871 0.02997316 0.0059546847 0.0021596653 0.005280569 0.015292428 0.0021222145 0.013032895 0.0044191997 0.0060171024 0.0061793895 0.002147182 0.0026465263 0.008139317 0.002783846 0.0026465263 0.0016103864 0.006204357 0.001136009 0.0034954122 0.00074901694 0.0050558643 0.0015854192 0.00428188 0.0009487548 0.00635416 0.0009612384 0.0022220835 0.00078646775 0.0055427253 0.0014480994 0.001523001 0.009999376 0.006092004 0.004306847 0.001136009 0.0030210349 0.007040759 0.00052431185 0.0026465263 0.0016603208 0.006004619 0.0007739841 0.00079895137 0.0036077648 0.0057549467 0.0027214282 0.0036077648 0.0014480994 0.0019224768 0.0052930526 0.0037450846 0.0015854192 0.0022969851 0.0014980339 0.00088633667 0.00034954122 0.0038824044 0.0017352225 0.00087385305 0.00034954122 0.015866674 0.0031833218 0.0005867299 0.0029960677 0.0066287997 0.0009612384 0.0010236565 0.0024592723 0.0050059296 0.00071156607 0.00084888586 0.001198427 0.006067037 0.0036701828 0.001460583 0.00084888586 0.0031833218 0.0006366644 0.004643905 0.0007739841 0.00531802 0.002496723 0.0006241808 0.0035328632 0.007128144 0.00079895137 0.001722739 0.0004119593 0.005330504 0.00048686098 0.0012483615 0.0005367955 0.0033206416 0.0007240497 0.004444167 0.004481618 0.0075026527 0.0009612384 0.0023469196 0.00039947568 0.0041320766 0.0011110418 0.0005867299 0.001073591 0.0125710005 0.00044941014 0.00087385305 0.0005492791 0.0040696585 0.0015979027 0.00093627116 0.0013731977 0.006541414 0.0006241808 0.005517758 0.00044941014 0.006553898 0.00044941014 0.0005367955 0.00028712314 0.00074901694 0.0003120904 0.00019973784 0.00038699206 0.003994757 0.00039947568 0.0002496723 0.00043692652 0.00084888586 0.0004743774 0.00044941014 0.00034954122 0.0006241808 0.00043692652 0.00037450847 0.0005992135 0.0006741152 0.00043692652 0.0016478372 0.0007365333 0.0007240497 0.0002371887 0.00039947568 0.0006241808 0.00093627116 0.00028712314 0.00029960676 0.0003370576 0.0005118282 0.00046189377 0.00043692652 0.00037450847 0.00038699206 0.00036202485 0.0021971164 0.000324574 0.0019474439 0.00078646775 0.0004993446 0.0007240497 0.00061169715 0.00026215593 0.00018725423 0.00037450847 0.00043692652 0.00039947568 0.00074901694 0.00087385305 0.00052431185 0.00056176266 0.0003370576 0.00029960676 0.000811435 0.00026215593 0.00036202485 0.00022470507 0.0005492791 0.000324574 0.00017477061 0.0005992135 0.0014480994 0.0004993446 0.00097372197 0.0003120904 0.0005867299 0.0002496723 0.00029960676 0.00042444293 0.0015979027 0.0020847637 0.000324574 0.0010486237 0.0006241808 0.00036202485 0.0005992135 0.0013357468 0.0007615005 0.0003120904 0.0003120904 0.0004119593 0.0010236565 0.0003120904 0.00027463955 0.00037450847 0.0011859435 0.0003370576 0.0002371887 0.00037450847 0.00052431185 0.00026215593 0.0002496723 0.00037450847 0.0006366644 0.00019973784 0.00021222146 0.00034954122 0.0005367955 0.0003120904 0.0002371887 0.00028712314 0.001298296 0.0003120904 0.00037450847 0.00026215593 0.001523001 0.00029960676 0.0003370576 0.0007365333 0.002596592 0.00034954122 0.00037450847 0.0020847637 0.0018600586 0.000112352536 0.0003370576 0.0005867299 0.0013357468 0.0002496723 0.0016103864 0.00039947568 0.00915049 0.017452095 0.00036202485 0.0018101243 0.0009612384 0.00034954122 0.00052431185 0.0072529805 0.0034080269 0.0056550778 0.013869297 0.085275576 0.025974026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.023691153 0.0001712155 0.0001712155 3.1706575e-05 0.000114143666 0.000114143666 0.00022828733 9.511972e-05 0.00022194603 0.0 2.536526e-05 4.4389206e-05 5.7071833e-05 3.1706575e-05 5.7071833e-05 0.00091949065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04469359 0.002739448 0.0018453227 0.0012302151 0.007894937 0.006328632 0.0047433036 0.002815544 0.00069120334 0.0003043831 0.00032974838 0.00052632915 0.0005136465 0.00029170047 0.00072925125 0.0022448255 0.019607347 0.0021814124 0.0027267653 0.0012302151 0.001147778 0.0022511669 0.0016487419 0.0007165686 0.00021560471 0.0 1.9023944e-05 3.1706575e-05 2.536526e-05 1.268263e-05 0.0001712155 0.0069754464 0.15736607 0.019924412 0.02372286 0.016753754 0.015859628 0.009632457 0.010050984 0.008091518 0.0014585025 0.0006468141 0.0009829038 0.0005453531 0.0010653409 0.00046291598 0.0033735796 0.06772524 0.108303316 0.011864601 0.013050426 0.0065315543 0.010228541 0.0071530035 0.01036805 0.008433949 0.0031833402 0.0020292208 0.0020038555 0.0009765625 0.002777496 0.00056437706 0.0023082385 0.043989703 0.06651405 0.0076793325 0.009188565 0.0059925425 0.009302709 0.005491579 0.008256392 0.00549792 0.0026760348 0.0015219155 0.0017692269 0.001490209 0.0028345678 0.00085607753 0.0030882205 0.02368481 0.014026988 0.0011604606 0.002574574 0.0024984782 0.0032974838 0.0022828733 0.0051047583 0.0007229099 0.0005453531 0.00058974227 0.0007672991 0.0010780236 0.0009955864 0.0005136465 0.0002980418 0.0025048193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0075651887 0.0015409396 0.0014775264 0.0017565442 0.004267705 0.0040584416 0.0034940646 0.0025555498 0.0014521611 0.0015980114 0.0014648438 0.0014267958 0.0014521611 0.0014838676 0.0015092329 0.0018580053 0.0014965503 0.0016677658 0.0015536222 0.0017945921 0.0016677658 0.0015409396 0.0015028917 0.0015345982 0.0016550831 0.0017565442 0.0016867898 0.0015599634 0.0015980114 0.0016867898 0.0016424005 0.0016297179 143.0 28.132868 4023.0 0.0027342779 0.00049714145 0.00024857072 0.00074571214 0.00024857072 0.0 0.00049714145 0.0 0.0 0.0 0.00074571214 0.00024857072 0.0 0.0 0.0032314193 0.0014914243 0.0022371365 0.004225702 0.006214268 0.0052199853 0.0039771316 0.004225702 0.0054685557 0.0022371365 0.0022371365 0.0019885658 0.00049714145 0.00024857072 0.00024857072 0.00024857072 0.00074571214 0.0012428536 0.0009942829 0.001739995 0.0014914243 0.04151131 0.043002736 0.004474273 0.0009942829 0.0407656 0.00074571214 0.0024857072 0.00074571214 0.0014914243 0.0022371365 0.042754162 0.0029828486 0.0027342779 0.004722844 0.004225702 0.042754162 0.00347999 0.060651254 0.04151131 0.0032314193 0.06239125 0.08128262 0.0012428536 0.00049714145 0.00074571214 0.00074571214 0.0012428536 0.0012428536 0.0032314193 0.00049714145 0.0057171267 0.08177976 0.07954263 0.06263982 0.008451404 0.02063137 0.0012428536 0.022619935 0.0027342779 0.001739995 0.0014914243 0.02411136 0.0027342779 0.0049714143 0.004722844 0.001739995 0.00024857072 0.0057171267 0.0101914 0.004722844 0.0032314193 0.042505592 0.0019885658 0.042008452 0.0022371365 0.0014914243 0.00049714145 0.0009942829 0.0 0.0 0.00049714145 4.91463 0.0 1.0 0.0 1.0 80105.0 90112.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1260452400.0 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 69632.0 4096.0 4096.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.355186 0.0 2.2547507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68297.0 0.0 1532.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 71428.0 1532.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056737304 0.008309543 0.006175143 0.0056651263 0.005766715 0.0049591884 0.004203493 0.0054215207 0.0050483374 0.0056257346 0.0037525631 0.0044699037 0.0049591884 0.0031679096 0.004320631 0.0046430193 0.0050400444 0.0037722588 0.0049343095 0.0041630645 0.0043569123 0.0031710195 0.0041039772 0.0038437855 0.005071143 0.0033513913 0.00316169 0.0029284505 0.0041526984 0.0034353575 0.0037888447 0.0037919546 0.00616996 0.00382098 0.003479932 0.0030227827 0.0048938813 0.004164101 0.0038417124 0.0037193913 0.004730095 0.0038925067 0.0033285855 0.0030963828 0.004368315 0.003730794 0.0037235378 0.0035815209 0.005518963 0.003950557 0.0031036392 0.002902535 0.0036748166 0.0030694308 0.002684845 0.0028693632 0.004167211 0.003319256 0.0035234701 0.003357611 0.004003425 0.0032207773 0.0035006644 0.0034519434 0.0066001574 0.003948484 0.0036146927 0.0032166308 0.0041599544 0.0032228504 0.0035421292 0.003066321 0.005000653 0.0037774418 0.0037069519 0.0035877405 0.0041309292 0.0031233348 0.003567008 0.0034654194 0.0051654754 0.0036302418 0.0036489011 0.0033368785 0.003936045 0.0033835263 0.0033617574 0.003531763 0.0046513123 0.0036416447 0.003807504 0.0035027377 0.0041101966 0.0033876728 0.0036851827 0.0037857348 0.0059118415 0.0036229857 0.003341025 0.002954366 0.004003425 0.0030559546 0.0032663886 0.0030310757 0.004978884 0.00316169 0.0031948616 0.0030507715 0.0035794475 0.0028299715 0.0030880899 0.0032000449 0.0045030755 0.0032912672 0.0032228504 0.0031399208 0.0038904333 0.0033285855 0.003292304 0.0036302418 0.0046160673 0.0032964505 0.0034768223 0.003169983 0.0040428163 0.0032000449 0.0034706024 0.0033472448 0.008646444 0.004598445 0.004016901 0.0035255433 0.0043672784 0.0034291376 0.0030186363 0.0033824898 0.0045393575 0.003834456 0.0029585124 0.003190715 0.0037297574 0.0027978364 0.0028475942 0.002981318 0.0052328557 0.0032124843 0.0035017012 0.0030310757 0.003660304 0.003175166 0.0033016335 0.0032653518 0.0045393575 0.002842411 0.0030393687 0.002703504 0.0035141406 0.0032218138 0.0029802814 0.003153397 0.0050193123 0.0034115152 0.0032694982 0.0027978364 0.0037712222 0.00301138 0.003051808 0.0031844955 0.0041381856 0.0029989406 0.0031202252 0.0030144898 0.0036406082 0.0028310083 0.0029180842 0.0030352222 0.004676191 0.0031108954 0.003842749 0.0028558872 0.0035628616 0.0031482137 0.0029854644 0.0031202252 0.004257397 0.003150287 0.0033368785 0.003183459 0.0036489011 0.003190715 0.003332732 0.0033420618 0.0067172954 0.004061476 0.0037266475 0.003341025 0.004120563 0.0032498026 0.0033068166 0.0032249237 0.0043361797 0.003330659 0.0031160787 0.0030839434 0.0036457912 0.002981318 0.003076687 0.00279369 0.0042480673 0.0032746813 0.003093273 0.0030061968 0.0037100615 0.0030238195 0.0029315604 0.0029419265 0.003981656 0.0031057124 0.0027211264 0.002638197 0.0035255433 0.00293778 0.003580484 0.0028869857 0.0049571153 0.0032342533 0.0033970026 0.0029740618 0.003804394 0.0030725405 0.003196935 0.0029139377 0.0044450248 0.0054526194 0.003466456 0.0031347377 0.0037940277 0.0030808335 0.0032508392 0.003191752 0.0046150307 0.003317183 0.0034135885 0.0030404055 0.0037370138 0.00308498 0.003316146 0.0032383997 0.0043455097 0.003033149 0.003185532 0.0028735097 0.004013791 0.003093273 0.004226298 0.0045196614 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09923266 0.062017944 0.06244292 0.055320036 0.06060032 0.059549555 0.054939684 0.05447527 0.06045918 0.05315053 0.05212623 0.05295387 0.056432027 0.050539963 0.056667607 0.05383184 4020.0 5.7029853 22926.0 0.01709849 0.010512082 0.009377999 0.00872372 0.013478147 0.01247492 0.01182064 0.011471692 0.012605775 0.009726947 0.008505627 0.008592864 0.013870714 0.010512082 0.011777022 0.009945041 0.016749542 0.011907877 0.0087673385 0.0075460174 0.009814185 0.008462008 0.007851348 0.008331153 0.010337608 0.00841839 0.009596092 0.008854575 0.011602547 0.008941812 0.00963971 0.009203524 0.018014481 0.010861031 0.010337608 0.009072669 0.010861031 0.008854575 0.010686557 0.008331153 0.014219663 0.011602547 0.009726947 0.008941812 0.011428073 0.009377999 0.011733403 0.009552473 0.014786705 0.009683329 0.009945041 0.00902905 0.012038733 0.009377999 0.009596092 0.009770567 0.01369624 0.009203524 0.010512082 0.009596092 0.011122743 0.009814185 0.010381226 0.010686557 0.017927244 0.010991887 0.009683329 0.008200296 0.0130855795 0.008243916 0.009421618 0.008331153 0.015440984 0.009290761 0.008898194 0.00872372 0.011384455 0.007982204 0.010032278 0.007894967 0.013216436 0.007982204 0.0086801015 0.008810957 0.011471692 0.009465236 0.008156678 0.007982204 0.01090465 0.008898194 0.011907877 0.008549245 0.011340836 0.008941812 0.010075896 0.00872372 6.554695 0.0 0.0 0.0 14.0 964674.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.57982457 0.010161265 0.006338601 0.0064890557 0.009027283 0.0046613095 0.0011841343 0.000969597 0.0026998261 0.0007912803 0.0013930992 0.0009640246 0.0010559692 0.0015351953 0.0007996389 0.010640491 0.0028530671 0.0005126605 0.0005990326 0.00043743313 0.000941735 0.0035663338 0.00047643992 0.0004959433 0.0015351953 0.00041792975 0.00037056438 0.00042350215 0.0005934602 0.00073277013 0.00029812322 0.00044857792 0.0045052827 0.0011089069 0.0003594196 0.00036220578 0.0073137707 0.0010281071 0.00036777818 0.00047922612 0.0013596647 0.00044857792 0.0003315576 0.0005126605 0.00049872947 0.0008330733 0.0006937634 0.0003176266 0.002822419 0.00060739124 0.00078292174 0.002655247 0.0009194454 0.0009250178 0.00058231544 0.0003287714 0.0016466432 0.002332048 0.0005683845 0.0015574849 0.0005934602 0.0016967948 0.00042907454 0.00044300553 0.0023013998 0.006455621 0.0006965496 0.0015017609 0.0063943253 0.0036749956 0.00067983236 0.0008052113 0.022172567 0.003204128 0.0004652951 0.0007996389 0.005527817 0.001939194 0.0005210191 0.0004680813 0.0014460369 0.000351061 0.00055445347 0.0009891004 0.0015129057 0.0010281071 0.001067114 0.0015017609 0.0010086038 0.00038728156 0.00038728156 0.0004931571 0.0017107257 0.0006714738 0.0008637215 0.0026468884 0.0014265336 0.002474144 0.0005210191 0.0017162982 0.0030035218 0.0038839604 0.0020060628 0.0007494873 0.0012175686 0.0017441601 0.00027026123 0.00044021933 0.003218059 0.0008107837 0.0024239926 0.002334834 0.0027861984 0.00036499198 0.0026719642 0.0020729315 0.006216008 0.001953125 0.0005934602 0.0006352532 0.0018974011 0.00058510166 0.000281406 0.0005098743 0.0010420382 0.0005488811 0.00044300553 0.0010392519 0.00188347 0.0010810449 0.00070490816 0.0054163695 0.0052603423 0.0086706495 0.0008275009 0.0009445212 0.0012816512 0.007221826 0.00074112875 0.01939194 0.00047922612 0.005087598 0.00043464694 0.0006937634 0.013343103 0.0003343438 0.000323199 0.00042628834 0.00044021933 0.00036777818 0.0003259852 0.0003343438 0.00078849413 0.0003148404 0.000281406 0.00025354404 0.0004680813 0.0003204128 0.00036499198 0.00040957116 0.0007745631 0.00038728156 0.00029533703 0.00030648182 0.00039006775 0.00024239926 0.00037056438 0.0003538472 0.00057952927 0.0003259852 0.00027026123 0.00033991618 0.0005015157 0.00030369562 0.00026468883 0.00027583362 0.00094730745 0.00044300553 0.0003287714 0.0003594196 0.0004625089 0.00021732347 0.00055723963 0.0008525767 0.0013318028 0.0008637215 0.0012426444 0.00073555636 0.00047365372 0.00043186074 0.00069933577 0.00057117065 0.004636234 0.0011702033 0.0005265915 0.0017831669 0.0015212643 0.0005683845 0.0012314996 0.0013122994 0.0013373751 0.0014126025 0.0005377363 0.0014098163 0.0030063079 0.0006101774 0.0011590585 0.0014738989 0.0013986715 0.00037613677 0.001053183 0.0006519704 0.00049872947 0.00043186074 0.0004597227 0.000604605 0.0010699001 0.0004708675 0.00029533703 0.0009891004 0.00058510166 0.00044857792 0.00043464694 0.00037892297 0.0012565755 0.00045136412 0.00040678494 0.00044857792 0.0008219285 0.00043743313 0.0003343438 0.00044300553 0.0051071015 0.0038393813 0.00047922612 0.0010308934 0.0012398582 0.00073555636 0.00041792975 0.0004625089 0.0017553049 0.00055445347 0.00044579172 0.0005098743 0.00054609485 0.00043186074 0.0011423413 0.0005739569 0.0015296228 0.0007550597 0.0006659014 0.0004597227 0.0006101774 0.001237072 0.0034799618 0.019071527 0.45272207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002584113 2.7981735e-06 2.7981735e-06 0.0 5.596347e-06 1.678904e-05 3.4977165e-05 2.3784474e-05 1.3990867e-06 4.19726e-06 0.0 1.3990867e-06 0.0 1.3990867e-05 5.596347e-06 0.00016789041 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074067647 6.4357984e-05 6.155981e-05 0.00011752328 2.518356e-05 3.2178992e-05 7.135342e-05 0.00016089497 0.00011332602 3.4977165e-05 6.8555244e-05 1.9587213e-05 9.793606e-06 4.8968035e-05 4.8968035e-05 0.00031199632 0.002277713 3.9174425e-05 0.00010772968 2.6582647e-05 3.0779906e-05 3.777534e-05 3.0779906e-05 3.357808e-05 3.357808e-05 1.259178e-05 2.0986301e-05 3.357808e-05 3.9174425e-05 4.6169862e-05 5.876164e-05 3.6376252e-05 0.008796058 0.00024204199 9.2339724e-05 0.00017628493 0.00018328035 0.0005610338 0.0019293405 0.0009919525 0.00015389953 0.00011472511 0.00019587214 0.000116124196 6.4357984e-05 0.0001259178 6.575707e-05 0.0005176621 0.0056131356 0.00013011506 0.0003693589 0.00025883105 0.0002308493 0.000500873 0.002469388 0.001243788 8.114702e-05 0.0001566977 8.114702e-05 4.6169862e-05 4.756895e-05 0.00010772968 2.7981734e-05 9.653698e-05 0.013371072 0.0002644274 0.00094158534 0.00045890044 0.0011990173 0.000516263 0.0036152399 0.0021350062 0.0007443141 0.0007932821 0.00010213333 0.0001790831 0.00026302828 0.00014130776 0.00024623924 0.00081706664 0.029428389 0.0010744985 0.0015627798 0.0012325954 0.002467989 0.0016817022 0.0043371688 0.0030612017 0.0024330118 0.0011262648 0.00046449678 0.0007121351 0.0010884894 0.0007569059 0.0011654393 0.0018481935 0.015399747 0.0020664511 0.0015389953 0.0013361278 0.00068835064 0.001001746 0.0026918428 0.0019461296 0.00033018447 0.00064637803 0.00025743194 0.00038614793 0.0005218593 0.0008002776 0.0010199342 0.00088702096 0.014809333 0.0006631671 0.0011374574 0.0013291324 0.0012381917 0.00093598897 0.0025057641 0.0019097533 0.0011892237 0.0011234666 0.0006309881 0.00065477256 0.00059741 0.0008618374 0.0010577096 0.0008744292 0.0036754007 0.00018747762 0.000565231 0.0004099324 0.00082825933 0.000355368 0.0015166099 0.0009136036 0.0006267908 0.0008590392 0.00010772968 0.00020426666 0.0004183269 0.00018188127 0.00021545935 0.00039594152 0.0660229 0.00776633 0.010528128 0.010483356 0.039805416 0.008201446 0.0063560507 0.008156675 0.04313804 0.0098761525 0.0032332893 0.0063896286 0.015637591 0.0055221952 0.01009581 0.020993296 0.015592821 0.00216019 0.0036250337 0.0031227614 0.011098955 0.0028135632 0.0027268198 0.0031227614 0.011499094 0.0043945312 0.00083525473 0.0018020236 0.0050604967 0.0015473899 0.003955218 0.0068723136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1093.0 14.071363 15380.0 0.046228867 0.001170351 0.00013003901 0.00019505851 0.011378413 0.010338102 0.00032509753 0.0022106632 0.0011053316 0.00026007803 0.00019505851 0.00039011703 0.0016905072 0.008062419 0.0073472043 0.00032509753 0.013719115 0.0028608583 0.002340702 0.0032509754 0.00065019506 0.001170351 0.00052015606 0.00039011703 0.0024707413 0.006501951 0.0008452536 0.0013654096 0.00039011703 0.0031209362 0.00013003901 0.00045513653 0.0026657998 0.054226268 0.0028608583 0.004616385 0.00916775 0.00656697 0.0026657998 0.0020156046 0.018010404 0.00396619 0.0 0.00032509753 0.014824447 0.0014304292 0.0013003901 0.00091027305 0.0037061118 0.00039011703 0.0026657998 0.0070221066 0.008972691 0.008322497 0.013003902 0.019115735 0.00052015606 0.00019505851 0.0 0.0022106632 0.0071521457 0.006827048 0.01053316 0.047724318 0.00052015606 0.04635891 0.0058517554 0.027308192 0.045708712 0.07139142 0.014824447 0.007607282 0.0063068923 0.02743823 6.501951e-05 0.0018855657 0.04603381 0.008582574 0.0420026 0.041742522 0.03172952 0.0008452536 0.043758128 0.029973993 0.052145645 0.01189857 0.00396619 0.0027958388 0.025617685 0.0044213263 0.00026007803 0.00013003901 0.0013003901 0.00019505851 0.00013003901 0.0017555266 5.340284 0.0 0.0 0.0 3.0 358912.0 376832.0 1.0 245.0 78.0 1.0 1.0 0.0 0.0 0.0 1525538300.0 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 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 6.0 3.0 11.0 0.0 6.0 3.0 6.0 3.0 327680.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 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 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -327680.0 -4096.0 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 4.4676013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4459527 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8753235 -4.9410434 0.053254448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -327256.0 -3912.0 4408.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 -2.0 -1.0 1.0 0.0 4.0 -1.0 -1.0 5.0 -1.0 0.0 1.0 -1.0 0.0 -4.0 0.0 -1.0 -3.0 1.0 2.0 -1.0 2.0 3.0 -2.0 1.0 0.0 0.0 -1.0 1.0 2.0 -1.0 2.0 -1.0 -1.0 -1.0 -2.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 3.0 1.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 1.0 0.0 -3.0 3.0 0.0 -1.0 2.0 -1.0 2.0 1.0 -2.0 -1.0 1.0 1.0 -1.0 0.0 2.0 1.0 1.0 2.0 2.0 -1.0 0.0 2.0 4.0 -2.0 -1.0 1.0 -1.0 -2.0 -1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 2.0 1.0 -1.0 -2.0 0.0 3.0 1.0 0.0 -2.0 1.0 0.0 1.0 -1.0 1.0 1.0 2.0 -1.0 -3.0 0.0 0.0 3.0 1.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 7008.0 98960.0 360.0 357120.0 4592.0 364544.0 16020.0 339968.0 0.0 0.0 136.0 372736.0 56.0 318196.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 8208.0 0.0 0.0 760.0 356352.0 224.0 317312.0 0.0 0.0


Input: 0.46162683 0.0051700366 0.0021829044 0.0018382353 0.0068933824 0.00080422795 0.0048253676 0.0029871324 0.005744485 0.00080422795 0.0012637868 0.0013786765 0.0010340074 0.0010340074 0.0011488971 0.0016084559 0.0026424632 0.00080422795 0.0010340074 0.00080422795 0.0025275736 0.00080422795 0.00068933825 0.00057444855 0.00080422795 0.00080422795 0.00034466913 0.00080422795 0.00068933825 0.00057444855 0.0021829044 0.00068933825 0.00390625 0.00057444855 0.0011488971 0.0016084559 0.0022977942 0.0011488971 0.00068933825 0.0011488971 0.0020680148 0.0016084559 0.0010340074 0.00091911765 0.0010340074 0.0022977942 0.0013786765 0.0012637868 0.0013786765 0.003102022 0.0020680148 0.0011488971 0.0010340074 0.00068933825 0.0012637868 0.0010340074 0.0010340074 0.00080422795 0.0010340074 0.00068933825 0.0012637868 0.0048253676 0.0010340074 0.00091911765 0.005514706 0.005744485 0.001953125 0.00091911765 0.013786765 0.0022977942 0.0020680148 0.005055147 0.0034466912 0.0052849264 0.00091911765 0.0017233456 0.0017233456 0.0014935662 0.004710478 0.0013786765 0.005514706 0.0017233456 0.0016084559 0.0016084559 0.0022977942 0.00080422795 0.00068933825 0.00057444855 0.0052849264 0.00091911765 0.0011488971 0.0014935662 0.0024126838 0.0012637868 0.00091911765 0.0016084559 0.0021829044 0.0017233456 0.0012637868 0.0022977942 0.0017233456 0.0021829044 0.0014935662 0.0018382353 0.0035615808 0.0056295954 0.00080422795 0.00068933825 0.0011488971 0.00091911765 0.0065487134 0.0017233456 0.0035615808 0.0010340074 0.0025275736 0.0029871324 0.0028722426 0.00091911765 0.0028722426 0.014705882 0.00804228 0.00068933825 0.00068933825 0.0021829044 0.00057444855 0.00080422795 0.0017233456 0.0045955884 0.012522978 0.00080422795 0.0032169118 0.00091911765 0.005399816 0.00034466913 0.0037913602 0.0067784926 0.017922794 0.0029871324 0.00068933825 0.0013786765 0.0026424632 0.00045955883 0.0041360296 0.0022977942 0.0022977942 0.0011488971 0.0011488971 0.00068933825 0.003102022 0.00068933825 0.00057444855 0.0014935662 0.0014935662 0.0017233456 0.0014935662 0.00068933825 0.0016084559 0.00080422795 0.00068933825 0.0034466912 0.0032169118 0.0014935662 0.00068933825 0.0010340074 0.0012637868 0.00034466913 0.0012637868 0.0036764706 0.00068933825 0.00080422795 0.0020680148 0.00091911765 0.0013786765 0.0017233456 0.0018382353 0.00068933825 0.0011488971 0.0013786765 0.0022977942 0.0018382353 0.003102022 0.0013786765 0.0012637868 0.0011488971 0.003102022 0.0011488971 0.00091911765 0.0029871324 0.00057444855 0.0010340074 0.0013786765 0.00057444855 0.0051700366 0.0011488971 0.0020680148 0.00045955883 0.0014935662 0.00091911765 0.0022977942 0.00034466913 0.00045955883 0.00057444855 0.0010340074 0.00080422795 0.00792739 0.00080422795 0.0022977942 0.00080422795 0.0018382353 0.00068933825 0.0024126838 0.00045955883 0.00045955883 0.00091911765 0.0017233456 0.0012637868 0.0010340074 0.00068933825 0.00045955883 0.00068933825 0.001953125 0.0011488971 0.00045955883 0.00091911765 0.003102022 0.0013786765 0.0021829044 0.00091911765 0.0018382353 0.00068933825 0.00080422795 0.00068933825 0.0052849264 0.00057444855 0.0010340074 0.00034466913 0.0012637868 0.0010340074 0.0033318014 0.00068933825 0.004365809 0.00068933825 0.0010340074 0.00057444855 0.0012637868 0.00022977941 0.00034466913 0.008731618 0.0014935662 0.0021829044 0.00080422795 0.00045955883 0.00057444855 0.0067784926 0.00080422795 0.022058824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.25376675 0.0014648438 0.0029296875 0.000906808 0.0042550224 0.0017438616 0.006766183 0.0039760047 0.0035574776 0.0004185268 0.0012555803 0.0008370536 0.0007672991 0.00034877233 0.0013253348 0.0013950893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.084891185 0.0015345982 0.0034179688 0.0032087055 0.0041852677 0.0025111607 0.005301339 0.0075334823 0.0069754464 0.0035574776 0.0035574776 0.004045759 0.002580915 0.0014648438 0.0035574776 0.00453404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08844866 0.0076032365 0.01046317 0.011160715 0.016880581 0.010114397 0.0134626115 0.027901785 0.03125 0.008161272 0.009347098 0.008231027 0.0073939734 0.0055106026 0.00655692 0.023228237 0.07073103 0.007672991 0.008300781 0.00920759 0.011788504 0.011439732 0.012416295 0.013671875 0.02455357 0.013044084 0.011858259 0.016671317 0.017438617 0.01311384 0.01750837 0.026297433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 57.0 15.578947 888.0 0.016891891 0.0022522523 0.0011261262 0.009009009 0.007882883 0.0011261262 0.0011261262 0.0011261262 0.009009009 0.010135135 0.0011261262 0.0011261262 0.0011261262 0.018018018 0.010135135 0.0011261262 0.0011261262 0.018018018 0.0056306305 0.0033783785 0.0011261262 0.0011261262 0.0056306305 0.0011261262 0.0011261262 0.0011261262 0.0011261262 0.0011261262 0.0011261262 0.04391892 0.0011261262 0.0011261262 0.011261261 0.04391892 0.0045045046 0.0011261262 0.10585585 0.006756757 0.007882883 0.039414413 0.011261261 0.04054054 0.0011261262 0.0045045046 0.0022522523 0.0033783785 0.04054054 0.0033783785 0.042792793 0.0045045046 0.0056306305 0.0045045046 0.006756757 0.0022522523 0.0011261262 0.0011261262 0.039414413 0.0011261262 0.0011261262 0.0022522523 0.0011261262 0.0011261262 0.0011261262 0.0011261262 0.0033783785 0.010135135 0.0033783785 0.011261261 0.007882883 0.012387387 0.0022522523 0.0045045046 0.0056306305 0.042792793 0.0011261262 0.0011261262 0.006756757 0.0056306305 0.0472973 0.009009009 0.0033783785 0.0022522523 0.019144144 0.022522522 0.012387387 0.0056306305 0.014639639 0.06306306 0.032657657 0.0033783785 0.0011261262 0.009009009 0.0011261262 0.0011261262 0.0056306305 0.0022522523 5.4328012 0.0 0.0 0.0 1.0 8704.0 8704.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1047587000.0 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 7.0 0.0 4.0 0.0 4.0 0.0 512.0 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 0.0 512.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.1368902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.67825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9817924 0.0 5.9656935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 146.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38.0 0.0 5868.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1552.0 5868.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 1536.0 0.0 0.0 0.0 0.0