Input: 0.118051395 0.031573538 0.047346096 0.015627906 0.00905127 0.008223378 0.0031875763 0.0029680105 0.006553388 0.003699035 0.003919892 0.0034497634 0.0058791926 0.009012523 0.005809448 0.0042027445 0.013641483 0.0010138765 0.0014607572 0.00094800687 0.004378397 0.007253415 0.0037532805 0.03270624 0.004461057 0.00093767437 0.0017746069 0.0010048356 0.0023829327 0.0026296212 0.002293815 0.0018611415 0.0071035936 0.0028931 0.006636048 0.0013419334 0.002036794 0.0030674608 0.0031333305 0.003235364 0.0020522927 0.0074019446 0.00243847 0.0024462193 0.0025133805 0.00148788 0.0021724082 0.0017991465 0.0013470997 0.0019735075 0.0031837015 0.0028646856 0.0026296212 0.0047309934 0.0030506705 0.0016699902 0.0033748527 0.002169825 0.0026102478 0.0036654542 0.0014581741 0.0021117046 0.00080464344 0.001136575 0.0026954908 0.004056798 0.0021594926 0.0027859004 0.002261526 0.0045656734 0.0034110164 0.000971255 0.0033051083 0.0043086526 0.002163367 0.0018366019 0.0033606456 0.004359023 0.0033025253 0.0021879068 0.011139726 0.0022654005 0.0034652622 0.004475264 0.0015860387 0.0068259076 0.0070661386 0.004133 0.008867868 0.0048524 0.0020225868 0.0031643282 0.0033606456 0.0034639705 0.004716786 0.0021749912 0.0033632286 0.015351512 0.0013122275 0.0033025253 0.004719369 0.008776167 0.0026257464 0.0020187122 0.0060018906 0.005078424 0.0035672956 0.0021943646 0.004362898 0.0031501208 0.0039689713 0.0055834246 0.00276911 0.0038191502 0.0046689985 0.004879523 0.009226922 0.009124889 0.003407142 0.0026270382 0.00173586 0.002884059 0.0024694675 0.0022163212 0.0020471266 0.0016079952 0.0012360252 0.0026128308 0.0024513856 0.0011636978 0.002027753 0.0047852388 0.0021582008 0.010156848 0.0015434171 0.0005747453 0.0010500402 0.004138166 0.0006225331 0.009111973 0.0009854622 0.0071126344 0.000929925 0.00066902937 0.0020587505 0.0007710628 0.002202114 0.00053599844 0.0010681222 0.00094800687 0.00070261 0.0005075841 0.0007090678 0.00082401687 0.00048433593 0.0004029675 0.0024630097 0.0010035441 0.0057758675 0.00071165094 0.00068581966 0.001641576 0.0006315741 0.0010048356 0.0021414105 0.0027820256 0.00072069187 0.00070261 0.00090796844 0.00111591 0.0020432519 0.0032340724 0.0023906822 0.001632535 0.0074897707 0.0014078032 0.002854353 0.0018107706 0.0008485566 0.0013509743 0.0014581741 0.0029977164 0.0023222293 0.0015782893 0.0016131615 0.0016131615 0.00060703437 0.0014129693 0.0024630097 0.0018443512 0.0014904632 0.0012024447 0.0056957905 0.0009105515 0.0013651815 0.002264109 0.001434926 0.0003745531 0.0012851047 0.001963175 0.009170094 0.0012954372 0.0004714203 0.00044817218 0.0069124424 0.0004300903 0.0009195925 0.0008808456 0.0010435825 0.002181449 0.0014646319 0.0006018681 0.0013251432 0.0005527887 0.0010849125 0.0010577897 0.0013483912 0.0008640553 0.0009105515 0.0012360252 0.0011520737 0.0010009609 0.00074264844 0.00067548716 0.0015821641 0.0007865616 0.00075814716 0.0020096712 0.0013742225 0.00055666344 0.0006832366 0.0009635056 0.008590182 0.001425885 0.0008782625 0.00214916 0.0025844164 0.0008123928 0.00079947716 0.00091830094 0.0028569363 0.0009402575 0.000764605 0.0011249509 0.00915072 0.001591205 0.0018701825 0.0019941726 0.0034239322 0.0019877146 0.0012037362 0.002884059 0.0032185738 0.0036602882 0.0028362712 0.046288308 0.025100242 0.006630924 0.002679403 0.0052695572 5.173841e-06 0.0039954986 0.0026483599 1.0347682e-05 0.0 4.527111e-05 0.0012973406 0.0 0.0 0.0 0.0 0.0 0.0037988927 0.002619257 0.00024705092 0.0012501293 0.000122232 0.0037549152 1.7461714e-05 6.4673014e-07 4.527111e-06 2.5222475e-05 0.0012643574 6.4673014e-07 5.173841e-06 3.880381e-05 2.1988824e-05 7.3727235e-05 0.0096556805 0.006506105 0.0042050392 0.0014253932 0.0026211971 0.0040420634 0.0003388866 0.0012818191 2.1988824e-05 7.566743e-05 0.0012113255 8.79553e-05 5.3031872e-05 8.6661836e-05 1.4228063e-05 0.0014855391 0.017358236 0.007863591 0.003604227 0.0015890159 0.0033351872 0.0043195104 0.0030519194 0.0015062345 0.00023217611 0.0015017074 0.0015592664 0.00047405317 0.0024879707 0.00015909561 0.00010153663 0.0011873965 0.010487376 0.004704315 0.0034923428 0.00035570157 0.0014338007 0.004250957 0.0020100372 0.0045161163 0.00013387314 0.0001972527 0.0030661474 0.00016879657 0.0010625776 7.3727235e-05 3.880381e-05 0.0024187707 0.011172263 0.008487039 0.005993248 0.002789347 0.004085394 0.003352649 0.0021536113 0.0029361548 0.00016168253 0.00336235 0.0027330816 0.00058270385 0.0015838421 0.00029361548 0.00015198159 0.0004921616 0.017504398 0.005495266 0.006453073 0.0027408423 0.006959463 0.0041345456 0.005698986 0.0011304843 0.00039385865 0.0017920892 0.0008614445 0.0020022765 0.0024265314 0.00082781457 0.00055942155 0.0006221544 0.035641946 0.008707575 0.004357021 0.0017862687 0.00414166 0.0031625105 0.014768083 0.0061316486 0.0010826263 0.00118869 0.0019951626 0.0020229719 0.0012494826 0.00090348197 0.00081487995 0.0007877173 0.027220225 0.007079755 0.001531457 0.0021898283 0.003379165 0.0028870034 0.007503363 0.004498655 0.0013917632 0.00035699503 0.0020372 0.0031780319 0.00047987376 0.00094293256 0.0006913545 0.00085756416 0.021173945 0.0017060741 0.0035039838 0.0019958091 0.0030383382 0.003369464 0.011275739 0.008609918 0.001627173 0.001032828 0.002938095 0.0045995447 0.0010011382 0.0012216732 0.0009791494 0.002125802 0.014111651 0.0043188636 0.003347475 0.0031088318 0.0027279076 0.0024064828 0.0057591316 0.0047942107 0.0015010607 0.0013807688 0.0025772196 0.0020313794 0.0013555464 0.0009358185 0.0008271678 0.0017966164 0.007826728 0.0018341267 0.0023301686 0.0016239394 0.0015793149 0.0026722888 0.0035026905 0.002856607 0.0013781819 0.0018270126 0.0019201417 0.001797263 0.0012016246 0.0011181964 0.0015036475 0.002114161 0.017887263 0.004455324 0.004004553 0.0030376913 0.0041623553 0.007873939 0.0068074814 0.0044495035 0.008199245 0.004569795 0.0029258071 0.0039321193 0.0038189415 0.002815863 0.005525662 0.017521212 0.051176403 0.010200228 0.005105288 0.007945727 0.008190837 0.020106839 0.008386796 0.011762728 0.028738746 0.00336429 0.0035783579 0.00594539 0.015789917 0.00669301 0.013289011 0.048733056 0.007840957 0.0019854615 0.00091965025 0.0016724442 0.0019485978 0.0033222528 0.0014726045 0.002899938 0.004680386 0.00045012418 0.0006092198 0.00067324605 0.0033461817 0.0011505329 0.0023896678 0.005698339 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4339.0 35.49297 154004.0 0.016681384 0.009155606 0.030745955 0.0040518427 0.0065063243 0.010765954 0.012993169 0.011726968 0.005129737 0.03357705 0.008623153 0.0089478195 0.008577699 0.0041167764 0.005649204 0.0060063377 0.0020454014 0.006272564 0.011434768 0.0041362564 0.0097465 0.016850213 0.0126295425 0.006493338 0.011519182 0.0033960156 0.011025688 0.007285525 0.0048959767 0.006740085 0.0021622814 0.0037012026 0.007804992 0.016583985 0.0076816184 0.00947378 0.003727176 0.006818005 0.010915301 0.0024479884 0.0128178485 0.016856706 0.0098309135 0.0059089377 0.01379185 0.012811355 0.0113633415 0.007551752 0.015603491 0.006201138 0.010798421 0.005324537 0.003460949 0.023739643 0.017064491 0.004363523 0.033914704 0.013123035 0.008317966 0.011830862 0.010227007 0.010649074 0.017200852 0.00499987 0.013571076 0.06126464 0.0037336692 0.01001922 0.011876315 0.025603231 0.005876471 0.006792031 0.008343939 0.013765876 0.0028765486 0.008545233 0.011116594 0.010519207 0.009889353 0.011889301 0.005921924 0.015434664 0.011077634 0.012558116 0.016499572 0.009584167 0.0106360875 0.007240072 0.0041622296 0.008506273 0.009311447 0.0076751253 0.0008766006 0.0012791875 0.0022596815 0.004499883 6.262694 0.0 0.0 0.0 3.0 774256.0 782336.0 1.0 0.0 385.0 0.0 1.0 0.0 0.0 0.0 1091599500.0 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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 290816.0 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 -290816.0 0.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.118031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.326475 0.0 6.90949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -287610.0 0.0 471576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 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 1.0 0.0 2.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 -2.0 -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 1.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 282952.0 471576.0 307200.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 5760.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 60664.0 380.0 592.0 1664.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.06905757 0.0017372773 0.0012882411 0.001609959 0.0013370692 0.0006580388 0.0006511938 0.0023674795 0.0010098751 0.0005320897 0.00063613465 0.0007579768 0.0008930527 0.0008469626 0.0008277964 0.0016866238 0.0018385843 0.0015109339 0.00130832 0.0009788442 0.0010605286 0.0020375475 0.0009487259 0.00081364997 0.0015145845 0.0006653402 0.0006210755 0.0006384163 0.00074200495 0.0007388106 0.0007392669 0.0008214077 0.0012640551 0.00074200495 0.000782619 0.0007315092 0.009232623 0.002220539 0.0013402635 0.0009989231 0.0011987989 0.0008273401 0.0009774752 0.00095146394 0.0015638691 0.0011399314 0.0010514018 0.0012435201 0.0013804213 0.063988574 0.0008761682 0.0052478826 0.0011221342 0.00074793736 0.00078216265 0.00069545856 0.0008747992 0.00064982474 0.00096059067 0.0009240837 0.0007721232 0.0008688668 0.00095146394 0.00088894565 0.0030679577 0.00091632595 0.0012535595 0.00092454 0.0023081556 0.002010167 0.0011892158 0.0012074694 0.0014059762 0.0016400774 0.0017774351 0.0013767706 0.00173819 0.0032326956 0.0024345613 0.002262522 0.004190092 0.003266921 0.0023487697 0.0021210571 0.0021936148 0.003145079 0.003193907 0.0026052315 0.0032869999 0.0018623138 0.0017427533 0.0019239194 0.0024852147 0.001850449 0.0018928885 0.0018472547 0.002294009 0.0027854848 0.002039829 0.0020932206 0.0021557389 0.002104629 0.0026823524 0.0021310968 0.0029406396 0.0026960426 0.0032774168 0.0027184032 0.002666837 0.002345119 0.0024779132 0.002315457 0.0028429835 0.0022839697 0.0024108316 0.0020822685 0.0023633726 0.0025048372 0.002097784 0.002085463 0.0024455134 0.0021283587 0.002132922 0.0020174687 0.002726161 0.0024797386 0.0025299357 0.002831575 0.005319528 0.0025728315 0.0022739302 0.002873558 0.002414026 0.0042416584 0.004535996 0.002166691 0.0024268033 0.0037360361 0.0019485616 0.0058858427 0.004495838 0.003539811 0.0023483133 0.002839789 0.003035558 0.0026704876 0.006730067 0.0025107695 0.0025595976 0.0027498906 0.002635806 0.003161507 0.0026376315 0.007070951 0.0028297496 0.0028032819 0.0029452029 0.0030086339 0.002639457 0.0026604482 0.0034768363 0.0031382337 0.0031678958 0.0028630623 0.003800836 0.0029173663 0.0029055015 0.0035160813 0.005539026 0.006381425 0.0053313924 0.0043990947 0.004200588 0.0035443744 0.0030442283 0.0034594955 0.0030921437 0.003020955 0.003242735 0.06634236 0.0034275518 0.0044771284 0.0037757375 0.004148565 0.004226599 0.0038688304 0.0033796364 0.066001475 0.0036958784 0.0045204805 0.002931513 0.0029926621 0.0046258946 0.0033591012 0.0031510112 0.0035767742 0.003983371 0.0028904425 0.0028794904 0.0035229265 0.0025404315 0.0029661944 0.0021498066 0.0019307644 0.0026024934 0.0023305162 0.0021904206 0.00253313 0.0070262305 0.0019020152 0.0017249562 0.0019873504 0.0023419247 0.0018367589 0.0018276322 0.0020617333 0.0027457834 0.0022415305 0.0022561331 0.0032692028 0.0035649096 0.0030729775 0.002841158 0.0031245437 0.0035352474 0.0027517157 0.002728899 0.0021479812 0.0024564655 0.0024249782 0.0031665268 0.0043206047 0.009288296 0.0067209406 0.0059702653 0.004356199 0.004663314 0.003756115 0.0041595176 0.0038889092 0.00414674 0.0035963967 0.003796729 0.003872481 0.0038893656 0.004153585 0.0047691846 0.0052232402 0.006965081 0.004938942 0.0049832067 0.005479246 0.0063472 0.0067382813 0.010408148 0.05493803 0.002805049 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008233897 1.6892385e-05 1.2555151e-05 0.0076358146 2.4882027e-05 1.8033763e-05 7.989642e-06 4.3372343e-06 6.8482643e-07 5.706887e-06 1.8262039e-06 0.015269575 4.108959e-06 1.1413774e-06 9.131019e-07 1.5066182e-05 5.706887e-06 1.0272396e-05 1.8490315e-05 0.004536975 2.2142722e-05 2.9447538e-05 2.7621332e-05 2.7849608e-05 2.32841e-05 1.7805487e-05 2.5795129e-05 0.009054319 3.241512e-05 1.8718589e-05 2.5110303e-05 0.00014929216 0.0010801996 4.0861312e-05 6.597162e-05 0.007265324 0.00013422598 0.000159108 0.0001666411 0.000114822564 4.8394402e-05 5.7753696e-05 7.099367e-05 0.014496863 0.00015614042 0.00019289278 0.00011436601 0.0006133762 0.020224294 0.00017965281 0.00034035873 0.007673252 0.0009939114 0.00018969692 0.00038943798 0.0008964378 0.00123634 0.00015203147 0.00019403416 0.015575464 0.0009971072 0.0005939728 0.0007297967 0.0066702096 0.01752859 0.0003620449 0.00045221372 0.006855341 0.00093045086 0.00036638216 0.0005163591 0.0008368579 0.0010920699 0.00030314983 0.00046979095 0.014527908 0.001182467 0.00051156536 0.0008427931 0.00651795 0.0028584655 0.00016070594 0.0005366756 0.004382661 0.00047823714 0.0004618013 0.00027438713 0.00023580858 0.0008653923 0.000528686 0.0010569155 0.008890645 0.00029379054 0.0002198293 0.00056635146 0.002500073 0.0034999195 0.00039697107 0.0013646308 0.0071126074 0.0009592136 0.0016568234 0.0006375734 0.0005743411 0.0022270556 0.0013303895 0.0030607176 0.014196909 0.0004645406 0.00027119127 0.0019460485 0.004246837 0.0074856095 0.0011080492 0.002092373 0.008195775 0.0024608097 0.003699889 0.0013408902 0.0011897718 0.0029337965 0.0033777922 0.0068831905 0.015522961 0.0014125686 0.0014595934 0.0059319665 0.009706274 0.008769203 0.0019385153 0.004515974 0.008706198 0.0017278171 0.0049944394 0.002151268 0.0019227643 0.004934631 0.007954944 0.008534307 0.015556974 0.004481048 0.004734662 0.010583764 0.021630472 0.0053704088 0.0022733954 0.005102185 0.007110553 0.0019163727 0.004983482 0.004653852 0.0032876234 0.006830459 0.007074942 0.007776204 0.014177049 0.007499763 0.00815263 0.010782592 0.025495632 0.006973816 0.0041505047 0.0053537446 0.0064168237 0.0062417365 0.009708328 0.013739901 0.011041685 0.013717074 0.014043051 0.0152789345 0.026996315 0.015714483 0.014994275 0.02276386 0.034464348 0.007239072 0.00498371 0.004513006 0.0042447825 0.009919254 0.01105561 0.012472516 0.013465743 0.015991839 0.013332429 0.014100348 0.015303817 0.011605297 0.009896198 0.00973709 0.017922364 0.00085260894 0.0013600653 0.0019031327 0.0016321697 0.0029442972 0.0026477673 0.0033572474 0.0043792366 0.003743033 0.0044901785 0.0042603053 0.0036599408 0.00340724 0.0027982008 0.0023418781 0.004376041 7387.0 17.420334 128684.0 0.0055407044 0.0060846726 0.006527618 0.006519847 0.007094899 0.007125983 0.0063644275 0.005696124 0.005097759 0.00510553 0.004491623 0.0046936683 0.0048957136 0.004499394 0.00478692 0.004763607 0.004779149 0.0048257746 0.005074446 0.004872401 0.0052065523 0.005004507 0.0048024617 0.004872401 0.0049578813 0.004748065 0.0051599266 0.005237636 0.0058593145 0.0058748564 0.0060225045 0.00582823 0.0052920333 0.0077709737 0.006892854 0.007094899 0.0072814026 0.0077942866 0.008167294 0.009068727 0.010234373 0.01188959 0.012013925 0.012682229 0.013824563 0.014461783 0.01324951 0.013847875 0.014290821 0.0140110655 0.014609431 0.013622517 0.014104318 0.012037238 0.011640918 0.011221286 0.011710858 0.010793882 0.010824966 0.010863821 0.011042554 0.010988157 0.010716173 0.013474869 0.01197507 0.01659103 0.013917814 0.013350533 0.015705138 0.01579839 0.01626465 0.016614342 0.017958721 0.019683877 0.01867365 0.017290417 0.019575084 0.01715831 0.01668428 0.016381213 0.014935812 0.013210655 0.016365672 0.013358304 0.016567716 0.013063007 0.013226197 0.011532125 0.012658916 0.011881819 0.011920674 0.011842964 0.011990612 0.011897361 0.011718629 0.0102732275 6.4528866 2.0 0.0 0.0 16.0 2191360.0 2207744.0 0.0 0.0 90.0 0.0 1.0 0.0 0.0 0.0 1261132500.0 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 2179072.0 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 -2179072.0 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 -6.923747 0.0 5.5114145 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2177800.0 0.0 2972.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2179908.0 2972.0 2203648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 452.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05033788 0.005701037 0.001309461 0.0012381041 0.0013770622 0.00045067488 0.00032799118 0.00049699424 0.0022158183 0.0005633436 0.00027916805 0.00038933303 0.0011679991 0.00030545742 0.00027916805 0.00073735416 0.0052390955 0.00021657432 0.00023159682 0.00016649933 0.0010778641 0.0008450154 0.0006121667 0.00014521746 0.00061091484 0.00024536744 0.0018903308 0.00022533744 0.00060215173 0.00028417556 9.514247e-05 0.0001477212 0.0006372042 0.00012017997 8.8883105e-05 0.00015272871 0.0015322946 0.0001677512 0.000106409345 0.00010515747 0.00030295367 0.00012143185 0.00018652933 0.0005145205 0.00040685927 0.00012769122 0.8186559 9.263873e-05 0.00053079484 0.00028918305 0.00039183677 0.0010941385 0.00041937802 0.00041687427 0.0003117168 0.00027040494 0.000519528 0.00039308865 0.00027416056 0.00085503043 0.0003605399 0.00033299866 0.00025913806 0.0002816718 0.0011629916 0.00053079484 0.00034551742 0.0003855774 0.0007273392 0.0014008478 0.000878816 0.00028417556 0.00047320864 0.00024536744 0.0001477212 0.00023785619 0.000549573 0.0007511248 0.00041186676 0.0001977962 0.0016099109 0.00038307364 0.0001827737 0.0011692509 0.00052578736 0.0007010498 0.0013244834 0.0009852254 0.0002766643 0.0004844755 0.00011016497 0.00039684426 0.00032548743 0.00043314864 0.0005545805 0.00049699424 0.00020155183 0.000469453 0.00016149183 0.0004944905 0.00048071987 0.0011817697 0.00073735416 0.00022032994 0.0011417097 0.0006960423 0.0008650454 0.00021407058 0.0007273392 0.00021156682 0.0006572342 0.0006234336 0.0005408099 0.00013144684 0.00085503043 0.0006134186 0.0018853233 0.0014396559 0.0004907349 0.00025287867 0.0006434636 0.00022158182 0.00012017997 9.639435e-05 0.00042688928 0.00045693427 0.0003417618 0.00013645434 0.00036930304 0.00028542744 0.0001089131 0.001538554 0.00044065987 0.0013833215 0.00023159682 0.00011016497 0.0005270392 0.00233725 0.00047195677 0.0052415994 0.00018652933 0.0016023996 0.00019529245 0.00014146185 0.0007511248 0.00015272871 0.0001339506 0.00019028495 0.0001677512 0.00015898808 0.0002078112 0.00010014998 0.00033425054 0.00014396559 9.013498e-05 7.135686e-05 0.00019028495 7.8868106e-05 0.000107661224 9.7646225e-05 0.00024035994 0.00011517247 0.0001289431 0.00013019497 0.00013770621 0.00018652933 7.761623e-05 8.137186e-05 0.00031797617 0.00014521746 0.0001139206 0.00019529245 0.0001677512 7.511248e-05 0.00016149183 0.00012017997 0.00020906307 0.00012769122 9.013498e-05 8.262373e-05 0.00015773621 0.0001339506 9.138685e-05 0.000106409345 0.0006121667 0.0002679012 0.00012017997 0.00011517247 0.00032298366 0.000118928096 0.00017150684 0.0001827737 0.0010014997 0.00044065987 0.0005032536 0.00066599733 0.00050575734 0.0001477212 0.00032924305 0.00061467045 0.00047320864 0.00056709925 0.0002666493 0.0001977962 0.00033299866 0.00010515747 0.00023535245 0.00017526245 0.00037806615 0.0022446113 0.00030420555 0.00047320864 0.00018152183 9.7646225e-05 0.0003104649 0.00028041992 0.0003855774 0.00013520247 9.138685e-05 0.00023284869 0.00021031495 7.010498e-05 0.00013144684 0.000107661224 0.00032423553 0.00018402557 0.00017275871 6.885311e-05 0.00023660432 7.8868106e-05 0.00013770621 0.00017025496 0.0019003458 0.00048197174 0.00024536744 0.00055958796 0.000629693 0.00011767622 0.00022658931 0.00012268372 0.00061091484 0.00026539742 0.00010265372 0.00026414555 0.00042313364 8.6379354e-05 0.0002428637 0.00028793118 0.0007173242 0.00028542744 0.0001827737 0.0002716568 0.00074862107 0.00040185178 0.00032298366 0.0069191116 0.018971512 0.0027817616 0.74538606 8.5245505e-05 5.641247e-06 5.077122e-05 0.00025072208 9.966203e-05 4.0115534e-05 0.0001454188 0.0 4.074234e-05 0.00017237142 0.0020195663 0.0001686106 0.0 0.0027209613 0.00053591846 0.058831308 5.2651638e-05 0.0 0.0 0.0 0.00049141527 7.5216626e-06 0.0 0.0 0.0 0.00015043325 3.8235117e-05 7.27094e-05 0.0 0.00063181965 7.709704e-05 0.014269847 1.2536104e-05 0.0 0.0 0.0 2.5072208e-05 6.456093e-05 0.0 0.0 0.0 6.456093e-05 6.518774e-05 0.0001936828 0.0 0.0011389051 1.1909298e-05 1.5043325e-05 3.134026e-06 1.1909298e-05 7.5216626e-06 3.1967065e-05 1.1282494e-05 1.2536104e-05 2.0057767e-05 3.7608313e-06 2.5072209e-06 2.5072209e-06 2.5072209e-06 3.7608313e-06 4.387636e-06 0.0027197078 1.00288835e-05 0.0006644135 0.0001573281 3.0713454e-05 2.068457e-05 0.00011470535 5.891969e-05 1.1282494e-05 8.148468e-06 1.00288835e-05 9.402078e-06 8.775272e-06 1.0655688e-05 1.00288835e-05 6.268052e-06 0.0010198121 4.387636e-06 2.1311376e-05 3.0713454e-05 2.1938182e-05 1.3162909e-05 0.00010969091 5.2024832e-05 3.7608313e-06 0.0 1.8804157e-06 2.5072209e-06 0.0 0.0 1.2536104e-06 1.2536104e-06 0.0036060102 0.00040178213 5.766608e-05 3.8235117e-05 0.00010154244 7.333621e-05 0.00020872614 0.00013100229 0.00011031771 8.023107e-05 2.4445402e-05 4.0115534e-05 6.268052e-05 2.4445402e-05 5.891969e-05 0.00011533216 0.00506772 0.00076407555 0.00017237142 0.00013727034 6.8948575e-05 6.0800103e-05 0.00035665216 0.0002519757 9.5901196e-05 9.402078e-05 3.510109e-05 2.6325819e-05 4.5129975e-05 2.1938182e-05 3.3847482e-05 0.0004701039 0.0048345486 0.00014729922 0.00013664353 0.00016610337 0.00045568738 0.000460075 0.0014040436 0.00087376643 0.00010028883 0.000111571324 4.6383586e-05 5.5158856e-05 5.5158856e-05 4.701039e-05 3.8861923e-05 5.3278443e-05 0.002886438 0.00012974867 0.000113451744 0.00038924604 0.00029397165 0.00028582316 0.0010348554 0.0005829288 0.00016171574 7.6470234e-05 4.6383586e-05 3.8235117e-05 5.891969e-05 5.3278443e-05 6.7068155e-05 0.00019995085 0.0013921343 0.00016359615 6.456093e-05 0.0004920421 0.00022063543 0.00019995085 0.0005603639 0.00031779023 3.8235117e-05 5.2024832e-05 0.00015043325 4.136914e-05 3.63547e-05 3.948873e-05 4.1995947e-05 4.0115534e-05 0.0020640695 0.00042810795 0.00022188904 0.002033356 0.00043124196 0.00033910162 0.0011044308 0.00070640945 0.00022376946 0.00023943959 0.00028080872 0.0001936828 0.00016484977 0.0001924292 0.00017174463 0.00019054877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007207633 0.002265274 0.0011877959 0.00096528 0.002303509 0.0024113196 0.0009276717 0.0017588154 0.005403061 0.0005290236 0.0003485037 0.0006612795 0.0019105022 0.0007571807 0.0014115653 0.0033277087 0.011713109 0.004339999 0.0020552943 0.0019136362 0.0042654094 0.0055259145 0.002297241 0.0027748665 0.008391668 0.001103804 0.0009420882 0.0011564556 0.0033258284 0.0017186998 0.0028688875 0.0072245565 0.0007853869 0.00057101954 0.00052965037 0.0005302772 0.00051962154 0.0005177411 0.0006631599 0.0005177411 0.00051084626 0.0005008174 0.0005045782 0.0006443557 0.00051084626 0.0006493702 0.0005183679 0.0005120998 3663.0 180.9727 662903.0 0.00014029202 1.9610712e-05 1.5085163e-05 1.0559615e-05 6.48662e-05 1.2068131e-05 6.0340653e-06 4.223846e-05 3.9221424e-05 1.3576647e-05 0.00010408762 4.978104e-05 4.978104e-05 1.9610712e-05 0.9863147 1.5085163e-05 0.00013124091 7.240878e-05 0.00012218983 0.00014180054 0.00014481756 0.00014481756 0.000108613174 8.598543e-05 0.00022778596 0.0001010706 8.749395e-05 7.9951365e-05 9.6545045e-05 0.00012369834 8.900246e-05 0.0001010706 0.00010710466 0.00012218983 3.7712907e-05 0.00018253048 0.00012671537 7.693433e-05 9.805356e-05 0.00014330905 6.48662e-05 0.00013425795 2.5644778e-05 3.4695877e-05 9.805356e-05 7.693433e-05 4.8272523e-05 6.788324e-05 0.00018403899 7.240878e-05 5.732362e-05 0.00036656947 9.352801e-05 5.732362e-05 0.00017951344 0.00024287113 4.3746975e-05 3.0170326e-05 2.4136261e-05 2.866181e-05 2.5644778e-05 3.0170326e-05 3.1678843e-05 0.0001297324 3.1678843e-05 0.00041333347 7.9951365e-05 0.00042691012 0.00026399037 0.001066521 7.39173e-05 0.00012822388 0.00016744531 0.00054909993 7.844285e-05 0.00014029202 0.0004072994 0.00014481756 0.0005460829 0.0005355233 0.00032885655 1.3576647e-05 0.00071352825 0.00037411205 0.0008870076 0.00015386866 0.00015085163 7.9951365e-05 9.503653e-05 0.00011012169 2.5644778e-05 1.2068131e-05 0.00013425795 7.5425814e-06 1.9610712e-05 2.2627744e-05 0.18371028 0.0 0.0 0.0 2.0 798802.0 135168.0 0.0 39.0 139.0 1.0 1.0 0.0 0.0 0.0 1307629700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 77824.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 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 -6.3716784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.445061 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7103977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.621935 0.0 3.3983302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22571.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13089.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75346.0 0.0 1048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1115.0 103376.0 100.0 100440.0 1048.0 122880.0 0.0 0.0 0.0 0.0 4484.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 572.0 81920.0 0.0 0.0 0.0 0.0


Input: 0.33035067 0.034202397 0.025481468 0.01112827 0.015307049 0.007267442 0.013444767 0.009084302 0.008312137 0.003997093 0.017214753 0.004315044 0.003542878 0.0044967295 0.0038608285 0.001953125 0.003452035 0.0076762354 0.010719477 0.0064498545 0.0028161337 0.0027252906 0.0034974564 0.0021348111 0.0014989099 0.0009992733 0.00022710756 0.001771439 0.00240734 0.0014534884 0.0010446948 0.0011809593 0.008266715 0.0010446948 0.0014534884 0.0011355378 0.0007267442 0.00090843026 0.0010901163 0.00059047964 0.0047692587 0.0018168605 0.006404433 0.0040425146 0.0034974564 0.0030432413 0.0064498545 0.00068132265 0.0052688955 0.003997093 0.0014534884 0.0017260174 0.0010446948 0.001771439 0.0006359012 0.0014080668 0.00095385173 0.0018622819 0.00059047964 0.0008175872 0.0008630087 0.0012263808 0.00090843026 0.00022710756 0.0012263808 0.005950218 0.0025436047 0.0044058864 0.0046784156 0.0026798693 0.0024527616 0.0017260174 0.0014534884 0.0028161337 0.00027252908 0.00059047964 0.0015897529 0.0027252906 0.0016351744 0.0014989099 0.0021348111 0.00049963663 0.002043968 0.005314317 0.0032249272 0.00090843026 0.0015443314 0.0014989099 0.00095385173 0.00068132265 0.00027252908 0.00018168605 0.0011355378 0.00022710756 0.00013626454 0.0054051597 0.0011809593 0.011900436 0.005132631 0.009538517 0.0056322673 0.032521803 0.0018622819 0.0049963663 0.0017260174 0.016124636 0.0011809593 0.0009992733 0.0091297235 0.0078579215 0.014489463 0.025617732 0.007948765 0.0007721657 0.016170058 0.017396439 0.026299056 0.009175145 0.0022710755 0.0024981832 0.003452035 0.0048601017 0.00059047964 0.0010446948 0.0003179506 0.00054505817 0.0021348111 0.00022710756 0.005132631 0.0008630087 0.00018168605 0.00059047964 0.0016805959 0.00018168605 0.00045421513 0.00018168605 0.0010901163 0.00045421513 4.542151e-05 0.00013626454 0.0008630087 0.00027252908 4.542151e-05 0.00013626454 0.00022710756 0.00049963663 9.084302e-05 0.0003179506 0.0004087936 9.084302e-05 0.00013626454 0.00022710756 9.084302e-05 0.00018168605 0.0003179506 9.084302e-05 0.00022710756 0.00018168605 0.0004087936 0.00013626454 0.0003633721 0.0004087936 0.00027252908 0.00068132265 0.00049963663 0.00027252908 9.084302e-05 0.00027252908 0.0003633721 0.0003179506 0.00022710756 0.0004087936 0.00013626454 0.00022710756 0.0010901163 0.00013626454 0.00045421513 0.0003633721 0.0 0.0004087936 0.0034066134 9.084302e-05 0.00022710756 0.00027252908 0.0004087936 0.00049963663 9.084302e-05 0.0016351744 0.00059047964 0.00022710756 0.00022710756 4.542151e-05 0.0015897529 0.00022710756 4.542151e-05 0.00045421513 0.00018168605 0.00027252908 9.084302e-05 0.00013626454 0.0006359012 0.00054505817 0.0004087936 0.0010446948 0.00090843026 0.00054505817 0.00027252908 0.0 0.00054505817 0.00013626454 0.00022710756 0.00013626454 0.0 0.0004087936 0.0008175872 0.0029978198 0.00027252908 0.0003633721 0.0003179506 0.0011355378 0.0007267442 0.00018168605 0.0007267442 9.084302e-05 0.0014080668 0.00022710756 0.00022710756 0.0003179506 9.084302e-05 0.00045421513 0.00018168605 0.00013626454 0.00018168605 9.084302e-05 0.00018168605 0.0003179506 0.00013626454 0.00018168605 0.00013626454 0.00027252908 0.00018168605 0.0003633721 9.084302e-05 0.00027252908 0.0010446948 0.00090843026 4.542151e-05 9.084302e-05 0.00054505817 0.0003633721 0.00027252908 0.0003633721 0.00018168605 0.0003179506 0.0031795057 0.015443314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10654297 0.009936524 0.011108398 0.00559082 0.011499023 0.0069335937 0.056811523 0.036157228 0.00083007815 0.00024414062 0.00017089843 0.00046386718 0.0004394531 0.001538086 0.000390625 0.0013427734 0.15844727 0.014868164 0.012597656 0.007836914 0.010107422 0.008251953 0.039697267 0.024560547 0.0043945312 0.0010742188 0.0021972656 0.0014892578 0.001928711 0.0015136718 0.0015136718 0.009521484 0.07209472 0.008618164 0.009008789 0.003857422 0.0060546873 0.005053711 0.02097168 0.012915039 0.0012451172 0.0011230469 0.0011474609 0.0011962891 0.0014160157 0.0024658204 0.0009033203 0.001928711 0.13662109 0.020092774 0.013891602 0.007983399 0.01184082 0.0076171877 0.038208008 0.02578125 0.0064697266 0.0013916015 0.0026367188 0.006298828 0.0038085938 0.004199219 0.001953125 0.011206055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 347.0 16.714697 5800.0 0.011034483 0.0001724138 0.0037931034 0.00086206896 0.0001724138 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013793104 0.0018965517 0.01862069 0.0010344827 0.0055172415 0.0070689656 0.0031034483 0.002413793 0.00086206896 0.00086206896 0.00086206896 0.0015517242 0.0013793104 0.0013793104 0.0012068965 0.0 0.0020689655 0.0029310344 0.0020689655 0.0003448276 0.0003448276 0.015 0.007413793 0.012413793 0.015 0.0062068966 0.0046551726 0.0031034483 0.002413793 0.006551724 0.0 0.00086206896 0.003965517 0.00862069 0.0036206897 0.003275862 0.005689655 0.0 0.006551724 0.016206896 0.008275862 0.0017241379 0.003965517 0.0036206897 0.0013793104 0.0 0.0 0.0 0.0017241379 0.0 0.0 0.019482758 0.0010344827 0.038965516 0.018275863 0.031206897 0.017931035 0.114655174 0.004827586 0.01637931 0.0044827587 0.051206898 0.003275862 0.0020689655 0.030172413 0.026896551 0.046724137 0.058793105 0.019827586 0.0013793104 0.05241379 0.05586207 0.09327586 0.032413792 0.008103448 0.007413793 0.010517241 0.016206896 0.0010344827 0.0 0.0 0.0 0.0 0.0 5.0898223 1.0 0.0 0.0 1.0 22016.0 57344.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1544179300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 4.0 0.0 16896.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -16896.0 512.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.733968 5.258415 4.061211 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 -16884.0 157.0 2768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 24988.0 2768.0 40960.0 0.0 0.0 0.0 0.0 12.0 49152.0 28.0 32768.0 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: 0.22886117 0.010521805 0.005951247 0.012664255 0.0060464675 0.0044277282 0.0024281088 0.008046087 0.02332889 0.0067606173 0.0033326985 0.0019996192 0.004475338 0.002190059 0.0014282994 0.013759284 0.011616834 0.0033326985 0.002475719 0.0027137687 0.004570558 0.0059036375 0.0013806894 0.0009998096 0.0037611884 0.00080936967 0.0005713198 0.0012378595 0.002285279 0.00047609978 0.00038087982 0.00095219957 0.015949342 0.0012854694 0.0018091792 0.0019520092 0.0054751476 0.0005713198 0.00052370975 0.00033326985 0.0019996192 0.00080936967 0.00038087982 0.0039992384 0.0015711293 0.002094839 0.0011426396 0.0015235193 0.011997715 0.0031898685 0.002380499 0.0061416873 0.0029042086 0.002237669 0.0026661588 0.0016187393 0.0026661588 0.0025709388 0.0030470386 0.0056655877 0.0030470386 0.0034279185 0.0031898685 0.0019043991 0.018282233 0.0058560274 0.0021424491 0.0012854694 0.008760236 0.011045516 0.0033326985 0.006236907 0.0041420683 0.0041420683 0.00061892974 0.0005713198 0.002285279 0.008426966 0.004380118 0.0035231384 0.009664826 0.002475719 0.0025233289 0.004189678 0.0016663492 0.0059036375 0.004951438 0.0029994287 0.003951628 0.0012854694 0.00033326985 0.0015711293 0.0010474195 0.002094839 0.002332889 0.0021424491 0.0037611884 0.0054275375 0.0017139593 0.004046848 0.0051894877 0.009617216 0.004808608 0.00080936967 0.0057608075 0.0061892974 0.0036183584 0.0006665397 0.004808608 0.0029994287 0.004760998 0.0055703674 0.0037611884 0.00085697963 0.007236717 0.006998667 0.010521805 0.008284137 0.0031898685 0.0015711293 0.0035231384 0.0010950295 0.0002856599 0.00047609978 0.0011426396 0.0031898685 0.0006665397 0.00085697963 0.0017615692 0.002332889 0.00052370975 0.0129023045 0.004475338 0.005808417 0.00061892974 0.0007141497 0.0019043991 0.015425634 0.0011426396 0.030375166 0.00061892974 0.0053323177 0.00038087982 0.00023804989 0.00047609978 0.00033326985 4.7609978e-05 4.7609978e-05 0.00033326985 0.0002856599 0.00019043991 0.00033326985 0.0002856599 9.5219955e-05 0.00023804989 0.00042848982 0.00038087982 0.00014282994 0.00042848982 0.00023804989 0.00038087982 0.00033326985 0.0007141497 0.00076175964 0.0012378595 0.00019043991 0.00014282994 9.5219955e-05 0.0010950295 0.00019043991 0.00047609978 0.00023804989 0.0002856599 0.00014282994 0.00014282994 0.00014282994 0.0010950295 0.00019043991 0.00019043991 0.00019043991 0.00038087982 0.00023804989 0.005094268 0.0016663492 0.002618549 0.0005713198 0.00038087982 0.0002856599 0.00038087982 0.00014282994 0.0009045896 0.00023804989 0.006427347 0.0063321274 0.0012378595 0.004951438 0.0012854694 0.00019043991 0.0028565987 0.0056179776 0.004189678 0.002332889 0.002475719 0.0011902495 0.003951628 0.00023804989 0.0019520092 0.0010474195 0.0015235193 0.0012378595 0.0017615692 0.004094458 0.0007141497 0.00023804989 0.0011902495 0.0012378595 0.002618549 0.00042848982 0.00042848982 0.00095219957 0.0010474195 0.00019043991 0.0006665397 0.00038087982 0.004618168 0.0011426396 0.00095219957 0.00038087982 0.0017139593 0.0011426396 0.00042848982 0.00038087982 0.006808227 0.004570558 0.00095219957 0.004475338 0.0035231384 0.00019043991 0.0007141497 0.00052370975 0.0035231384 0.0013330794 0.00038087982 0.0007141497 0.0033803086 0.00061892974 0.0014759094 0.0019043991 0.0053323177 0.0030946487 0.00095219957 0.00095219957 0.0050466578 0.00061892974 0.0014282994 0.02442392 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07442434 0.0050113075 0.0034436677 0.0063476562 0.0023643093 0.0022358142 0.0037520558 0.0027754933 0.0010022615 0.00043688322 0.0007966694 0.00053967925 0.0005910773 0.00048828125 0.0005139803 0.00053967925 0.032997534 0.004137541 0.0014134457 0.0029553864 0.0014391447 0.0009765625 0.0033408718 0.0026212994 0.0006167763 0.00025699014 0.00033408718 0.00025699014 0.00046258225 0.00025699014 0.00033408718 0.00023129112 0.028346011 0.002210115 0.0027240955 0.007735403 0.0014391447 0.0016961349 0.003777755 0.0035464638 0.00023129112 7.709704e-05 0.00012849507 7.709704e-05 0.00025699014 0.00010279605 0.0002055921 7.709704e-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 0.022872122 0.0031609787 0.001978824 0.0009765625 0.001927426 0.0012849506 0.009225946 0.0046772202 0.0024671052 0.00030838815 0.0005653783 0.0005653783 0.00087376643 0.0003854852 0.0006424753 0.00071957236 0.014468544 0.0012335526 0.011924342 0.01613898 0.013055098 0.0064247535 0.021407278 0.013646176 0.0015933388 0.0005139803 0.00053967925 0.00053967925 0.0011307566 0.00071957236 0.0007709704 0.0011564556 0.078870274 0.011179071 0.0098941205 0.008557771 0.03145559 0.016575864 0.010767886 0.0135433795 0.045512952 0.0011050575 0.0019017269 0.007735403 0.025827508 0.009996916 0.017398233 0.025467722 0.06486431 0.019171463 0.012027138 0.01248972 0.029785156 0.020096628 0.020405017 0.015702097 0.039242394 0.0014905428 0.002004523 0.005345395 0.020019531 0.00755551 0.014622739 0.03096731 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 123.0 23.658537 2910.0 0.07353952 0.0006872852 0.008591065 0.0003436426 0.0013745704 0.0006872852 0.0 0.0006872852 0.0010309279 0.0003436426 0.0 0.0003436426 0.0010309279 0.012714776 0.0054982817 0.005154639 0.0075601377 0.008934708 0.0075601377 0.008591065 0.008247423 0.005154639 0.0058419243 0.00790378 0.0068728523 0.0075601377 0.0041237115 0.0027491408 0.009621993 0.008247423 0.0113402065 0.005154639 0.0017182131 0.022680413 0.0013745704 0.0030927835 0.041237112 0.0041237115 0.0037800688 0.02749141 0.0034364262 0.025085911 0.0003436426 0.0006872852 0.0037800688 0.0037800688 0.023024054 0.0075601377 0.026116839 0.0010309279 0.0030927835 0.0068728523 0.0020618557 0.0006872852 0.0041237115 0.0041237115 0.020618556 0.0 0.0 0.0010309279 0.0034364262 0.0006872852 0.0003436426 0.0006872852 0.0010309279 0.03436426 0.010652921 0.025429552 0.02886598 0.06254295 0.011683849 0.0048109964 0.010309278 0.037113402 0.0020618557 0.0030927835 0.027147766 0.018556701 0.029896908 0.03436426 0.017869417 0.0013745704 0.037457045 0.035051547 0.04054983 0.01718213 0.009621993 0.0041237115 0.006185567 0.006185567 0.0013745704 0.0017182131 0.0010309279 0.0024054982 0.0 0.0003436426 5.599682 1.0 0.0 0.0 1.0 21004.0 86863870.0 1.0 0.0 27.0 1.0 1.0 0.0 0.0 0.0 1468681900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 9.0 0.0 5.0 0.0 5.0 0.0 17408.0 1024.0 4096.0 4.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17408.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.369633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.387341 0.0 5.2077603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86831100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17320.0 0.0 1064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20788.0 1064.0 28672.0 0.0 0.0 0.0 0.0 572.0 32768.0 28.0 4208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.15937263 0.0140214395 0.011909268 0.021300828 0.01787404 0.0039404673 0.0042142044 0.003055045 0.012916352 0.00083473016 0.0009665297 0.0017438089 0.0115104895 0.0036363145 0.0010037039 0.0053868825 0.03464299 0.00066575647 0.0008313507 0.0006860333 0.0035653454 0.002869174 0.000990186 0.000533957 0.0020648588 0.0018587109 0.0004765059 0.00055761327 0.0016322861 0.00056099275 0.00044271114 0.0010070833 0.007833621 0.0005846491 0.0021189305 0.0004122959 0.0035146533 0.0012639235 0.00083473016 0.00043933166 0.0022135559 0.00068941276 0.0005542338 0.0016255272 0.0020648588 0.00045284958 0.0011084676 0.00046636746 0.0051638368 0.0026697847 0.0024771548 0.0066981185 0.0030111116 0.0023554936 0.0025177083 0.0021493458 0.00308546 0.0022067968 0.0068772305 0.0042006867 0.0038762572 0.002166243 0.0030888396 0.003426787 0.009364524 0.003169947 0.0027170975 0.0020141667 0.0022101763 0.015221152 0.005643722 0.002372391 0.0022912836 0.0018823673 0.0020074078 0.00062858226 0.0015275225 0.0083506815 0.0014126203 0.0011186061 0.01176733 0.0024602574 0.0012098518 0.0023352169 0.0027238564 0.0043426245 0.0056031686 0.0031395317 0.001581594 0.002308181 0.00078065856 0.0017539472 0.0009023197 0.0046839514 0.003524792 0.0053767436 0.0009732886 0.0070259273 0.0017066345 0.006637288 0.008046528 0.0066981185 0.001517384 0.0010510165 0.0050455555 0.0052246675 0.005650481 0.00041567534 0.0044845627 0.0016660809 0.0036565913 0.007401049 0.0032003622 0.00042919326 0.00854669 0.008648075 0.014105926 0.009154996 0.0028590353 0.0011861955 0.0023284578 0.001517384 0.0004089164 0.00034132693 0.0010915702 0.0015140045 0.0009868066 0.00059816695 0.0023352169 0.0005947875 0.0004494701 0.011324619 0.0030922191 0.0052314266 0.00062858226 0.00023656321 0.0015038662 0.0095503945 0.0009361144 0.03953985 0.0008786633 0.013382719 0.00032442954 0.00031091165 0.0010138423 0.00033794745 0.0006218233 0.0019702336 0.0009158376 0.000533957 0.00043257274 0.00033456797 0.0012943387 0.0003683627 0.00036498325 0.00030077322 0.0010577755 0.0004224343 0.00034808586 0.0003176706 0.0010510165 0.0034707203 0.00037512166 0.0018756083 0.00077389966 0.0004224343 0.00044271114 0.00034132693 0.0011625392 0.0002940143 0.0005812696 0.00035484481 0.00089218124 0.0003176706 0.00034470638 0.0002906348 0.0015038662 0.0003852601 0.00037512166 0.00031429113 0.0018587109 0.00057451066 0.0005542338 0.0003683627 0.0038931544 0.00033456797 0.00029739374 0.00028049637 0.0011591597 0.00046636746 0.00035484481 0.0003683627 0.004687331 0.0025988158 0.0031023575 0.004558911 0.005184114 0.0020006488 0.005342949 0.012527712 0.0041330974 0.001453174 0.00065561803 0.0011050882 0.039844003 0.0005643722 0.0012571645 0.0012605439 0.0026833026 0.0005542338 0.0008820428 0.00044271114 0.0014903483 0.00047312642 0.0009496323 0.0005947875 0.002264248 0.00040553694 0.0004765059 0.0006218233 0.0010206013 0.00045284958 0.00043933166 0.00037512166 0.0025413649 0.00039877798 0.00037850114 0.00037512166 0.0015342814 0.0027610306 0.00046636746 0.0003683627 0.013108981 0.0050387965 0.0006792744 0.0022676273 0.006894128 0.00033794745 0.00041905482 0.00042581378 0.0053125336 0.0015140045 0.00048326486 0.00037850114 0.0042919326 0.00043257274 0.0014126203 0.000990186 0.0025109495 0.0010206013 0.00094625284 0.0004494701 0.0065426626 0.0007299665 0.0034673407 0.050320376 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009709481 0.00078090973 0.00027051123 8.676775e-05 0.00028412184 0.00015992486 0.0004848786 0.0002807192 6.294915e-05 0.0002586019 0.000102079706 7.485845e-05 0.0001258983 0.00010378103 0.00017863949 0.00097315985 0.05257615 0.0062779016 0.0017387576 0.00039981218 0.00055293174 0.00077410444 0.00036918826 0.00038109755 0.00054782775 0.0018221227 0.00094253593 0.0011858259 0.0008693788 0.0008251443 0.00076389645 0.0066283755 0.02593505 0.0045187282 0.0052094674 0.00623707 0.002315508 0.0023529371 0.020303654 0.01424182 0.00043894272 0.0009493412 0.00045255336 0.0002398873 0.00026030323 0.0002875245 0.0005665424 0.002798685 0.010287933 0.0013950893 0.0013151269 0.0012232551 0.0031661722 0.002553694 0.010100787 0.006376579 0.00014461292 0.00012249565 9.0170404e-05 0.00025349794 9.867705e-05 8.676775e-05 0.0002517966 0.00086087215 0.008445394 0.0009850691 0.0011688126 0.0015941447 0.004843682 0.0026455657 0.009935758 0.006259187 0.00031644708 6.1247825e-05 9.1871734e-05 0.0002875245 0.00044574804 0.000113989 0.0002756152 0.0008574695 0.008675073 0.0027119175 0.0019888529 0.027495168 0.0028259065 0.0025009527 0.004139332 0.0034673072 0.0025877205 0.0016707045 0.0016570939 0.0017710829 0.0023546384 0.0018527466 0.0017897974 0.0021981164 0.055279564 0.012125367 0.003057287 0.005258806 0.014182273 0.013377545 0.007383765 0.009282447 0.025555653 0.0012828016 0.0029960393 0.0019344104 0.029290069 0.0023665477 0.0072918935 0.014910442 0.0920827 0.021215566 0.008802673 0.011118181 0.03105775 0.026966056 0.011621774 0.01387093 0.056023043 0.0035166459 0.0056075784 0.0062030433 0.0537892 0.007295296 0.024531454 0.0479009 0.010328765 0.003366929 0.0023818598 0.0024584194 0.002829309 0.0032155106 0.002819101 0.0028003866 0.0049865935 0.0008387549 0.0009238213 0.0010190957 0.0034570992 0.0010803435 0.0023648464 0.0039096526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1141.0 34.570553 39445.0 0.030016478 0.00038027632 0.0006844974 0.00020281404 0.0076308786 0.00058309035 0.0037774115 0.0013436431 0.004056281 0.0023577132 0.0010901255 0.0005323869 0.007275954 0.0013689948 0.0066675115 0.0014450501 0.011712511 0.008568893 0.008188617 0.0070224362 0.0086703 0.0068956777 0.0072252504 0.0063886424 0.008011155 0.0059323106 0.040334642 0.006616808 0.01559133 0.0062111802 0.013816707 0.016123716 0.039117757 0.007757637 0.0016478641 0.006084421 0.006718215 0.0044112056 0.003422487 0.0011661807 0.002383065 0.006439346 0.00065914565 0.00058309035 0.0026619344 0.0076055266 0.0010647738 0.00076055265 0.008163265 0.0019520852 0.002383065 0.0043097986 0.004030929 0.002991507 0.008188617 0.0013182913 0.0040816325 0.00055773865 0.0026619344 0.0005323869 0.0028647485 0.00015211053 0.0005323869 0.022943338 0.0018253264 0.0505007 0.011281531 0.048447207 0.021396881 0.042667005 0.005830904 0.006109773 0.009887185 0.03714032 0.00076055265 0.0012168842 0.027988339 0.010774496 0.025681328 0.05372037 0.017239194 0.0005070351 0.048573963 0.058309037 0.064748384 0.010444923 0.017442008 0.0029661553 0.0073266574 0.006261884 0.0006844974 0.00038027632 0.002078844 0.00027886932 0.00038027632 0.00027886932 5.548458 0.0 14.0 0.0 4.0 295904.0 315392.0 1.0 1.0 135.0 1.0 1.0 1.0 1.0 0.0 1468229100.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 191488.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 70144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192000.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.6215177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9434476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7029943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9513144 0.0 4.879164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -16756.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69974.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -191363.0 0.0 480.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 259744.0 240.0 260184.0 480.0 290816.0 0.0 0.0 6112.0 289792.0 16756.0 294912.0 84.0 217584.0 0.0 0.0 0.0 0.0 24.0 217764.0 64.0 217672.0 0.0 0.0 584.0 196608.0 0.0 0.0 0.0 0.0


Input: 0.42697483 0.0069444445 0.00390625 0.004231771 0.0065104165 0.0053168405 0.003689236 0.002061632 0.0033637153 0.002170139 0.0026041667 0.0015190972 0.0032552083 0.0031467015 0.0015190972 0.002061632 0.0035807292 0.00054253475 0.0009765625 0.00043402778 0.002170139 0.0026041667 0.00043402778 0.0007595486 0.0022786458 0.0013020834 0.00043402778 0.00043402778 0.0013020834 0.00054253475 0.00021701389 0.00086805556 0.0150824655 0.0010850695 0.0011935764 0.00032552084 0.005859375 0.0045572915 0.0023871528 0.0049913195 0.0029296875 0.001953125 0.0013020834 0.00032552084 0.00032552084 0.0046657985 0.005750868 0.00054253475 0.0071614585 0.0049913195 0.0023871528 0.009114583 0.002170139 0.0024956597 0.0017361111 0.00054253475 0.002061632 0.0023871528 0.0015190972 0.0047743055 0.0027126735 0.0027126735 0.0022786458 0.00054253475 0.019748263 0.002170139 0.0006510417 0.0029296875 0.0027126735 0.0090060765 0.00086805556 0.0011935764 0.001844618 0.002170139 0.0007595486 0.00054253475 0.0014105903 0.0017361111 0.0010850695 0.001844618 0.0045572915 0.0007595486 0.001953125 0.001953125 0.0031467015 0.0028211805 0.0016276041 0.0013020834 0.0024956597 0.0035807292 0.002061632 0.0010850695 0.00086805556 0.0026041667 0.0013020834 0.007703993 0.0014105903 0.009114583 0.0009765625 0.006184896 0.005859375 0.01703559 0.0033637153 0.001953125 0.0048828125 0.0090060765 0.0046657985 0.00054253475 0.0079210065 0.0047743055 0.0081380205 0.005967882 0.0028211805 0.00043402778 0.0113932295 0.008897569 0.01812066 0.008463542 0.0017361111 0.0010850695 0.0034722222 0.00086805556 0.0007595486 0.00021701389 0.0011935764 0.00086805556 0.000108506945 0.00021701389 0.0013020834 0.0009765625 0.000108506945 0.0045572915 0.0022786458 0.003689236 0.00021701389 0.00032552084 0.0007595486 0.0065104165 0.00021701389 0.010633681 0.0016276041 0.0026041667 0.00054253475 0.00032552084 0.0011935764 0.000108506945 0.00032552084 0.00043402778 0.00054253475 0.00043402778 0.00021701389 0.00032552084 0.00021701389 0.000108506945 0.00043402778 0.000108506945 0.00043402778 0.00043402778 0.00032552084 0.0 0.0006510417 0.0010850695 0.00032552084 0.0009765625 0.00043402778 0.0009765625 0.0 0.00021701389 0.0007595486 0.00054253475 0.0 0.000108506945 0.00043402778 0.00021701389 0.001844618 0.00021701389 0.0015190972 0.00032552084 0.000108506945 0.0 0.0007595486 0.00043402778 0.0 0.00032552084 0.0017361111 0.0007595486 0.00043402778 0.0009765625 0.00043402778 0.000108506945 0.00054253475 0.00054253475 0.0072699655 0.0010850695 0.0007595486 0.005642361 0.0010850695 0.00032552084 0.0007595486 0.0022786458 0.001953125 0.00086805556 0.000108506945 0.0009765625 0.0011935764 0.0006510417 0.00054253475 0.0009765625 0.001844618 0.000108506945 0.000108506945 0.00043402778 0.0007595486 0.000108506945 0.00043402778 0.00032552084 0.00086805556 0.00043402778 0.00054253475 0.0014105903 0.001844618 0.00021701389 0.00043402778 0.00043402778 0.001844618 0.00032552084 0.00032552084 0.00032552084 0.00032552084 0.0010850695 0.00043402778 0.00043402778 0.010416667 0.0006510417 0.00032552084 0.0014105903 0.0034722222 0.0 0.000108506945 0.000108506945 0.002170139 0.00054253475 0.0007595486 0.0009765625 0.002061632 0.0 0.00054253475 0.0013020834 0.002170139 0.000108506945 0.00032552084 0.000108506945 0.0033637153 0.002170139 0.001844618 0.019097222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08441162 0.0018310547 0.011352539 0.0016479492 0.004211426 0.0045776367 0.0056152344 0.004211426 0.00036621094 0.0005493164 0.0005493164 0.0006713867 0.0008544922 0.0012207031 0.00048828125 0.0024414062 0.14215088 0.0018310547 0.009399414 0.014282227 0.0056152344 0.0072021484 0.040161133 0.021972656 0.0006713867 0.0006713867 0.0008544922 0.0012817383 0.0008544922 0.0006713867 0.0008544922 0.0015258789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17810059 0.008239746 0.023803711 0.011657715 0.020874023 0.01751709 0.036621094 0.023498535 0.012756348 0.0018310547 0.003479004 0.002380371 0.009155273 0.0045776367 0.0079956055 0.012512207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0357666 0.0033569336 0.0032958984 0.0079956055 0.0095825195 0.006958008 0.005065918 0.0045776367 0.0126953125 0.00091552734 0.0014648438 0.0022583008 0.0087890625 0.0017089844 0.008850098 0.01171875 0.029418945 0.0040283203 0.0056762695 0.0078125 0.011413574 0.0072021484 0.0041503906 0.0067749023 0.014038086 0.0015258789 0.001953125 0.0024414062 0.008483887 0.0017700195 0.005432129 0.012878418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 15.944445 1722.0 0.028455285 0.0011614402 0.0017421603 0.0 0.015098723 0.0 0.0 0.008710802 0.0005807201 0.0 0.0 0.0 0.0 0.023228804 0.028455285 0.0029036005 0.009291521 0.013356562 0.0017421603 0.009872242 0.0034843206 0.005807201 0.0040650405 0.0023228803 0.0040650405 0.0034843206 0.0034843206 0.0046457606 0.006387921 0.0046457606 0.006387921 0.0011614402 0.0023228803 0.009291521 0.0 0.013356562 0.0029036005 0.0040650405 0.0029036005 0.0040650405 0.0017421603 0.011033682 0.0 0.0005807201 0.0029036005 0.0023228803 0.0023228803 0.0011614402 0.008130081 0.0011614402 0.010452962 0.0034843206 0.012775842 0.0040650405 0.0011614402 0.0011614402 0.006968641 0.0011614402 0.005226481 0.0011614402 0.0040650405 0.0 0.0011614402 0.038327526 0.0011614402 0.04819977 0.0046457606 0.032520324 0.028455285 0.08478513 0.008130081 0.009872242 0.009291521 0.04761905 0.0023228803 0.0011614402 0.036585364 0.024970964 0.042392567 0.031939603 0.011033682 0.0017421603 0.05865273 0.043554008 0.06445993 0.016260162 0.0075493613 0.005226481 0.0121951215 0.0046457606 0.0034843206 0.0005807201 0.0 0.0 0.0005807201 0.0 5.406994 1.0 0.0 0.0 3.0 9216.0 24576.0 1.0 0.0 40.0 1.0 1.0 0.0 0.0 0.0 1525993600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 6.0 0.0 6.0 0.0 3584.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 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 -3584.0 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 -6.04871 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6897244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.28040117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.25749 0.0 4.8595424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2698.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3109.0 0.0 480.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 9500.0 480.0 16384.0 0.0 0.0 0.0 0.0 320.0 20480.0 112.0 8448.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8560.0 0.0 0.0 192.0 8192.0 0.0 0.0 0.0 0.0