Input: 0.34797198 0.007174119 0.004100955 0.004053309 0.0066840462 0.0048190476 0.0050504706 0.0026307371 0.0076778047 0.0013034571 0.00086783693 0.0012421979 0.0037197873 0.0011026635 0.00077594834 0.0032977804 0.005594996 0.0020215495 0.0035121872 0.0029370324 0.0029846784 0.0033828625 0.0022529727 0.0017186574 0.0033079903 0.0025592681 0.0014532015 0.00354622 0.0039239842 0.0021508744 0.0026137207 0.0029540488 0.0047748047 0.0034100886 0.003256941 0.0041077617 0.0068133706 0.0034407182 0.002205327 0.0012490045 0.0016471886 0.0011673258 0.0014055555 0.0018990315 0.00094611244 0.00036755446 0.00046624965 0.0003062954 0.00088485336 0.00037436103 0.0005683481 0.0022155368 0.0006772531 0.0007283024 0.00057515467 0.00046284636 0.0010073715 0.0011911488 0.0005411219 0.0023550713 0.0010175813 0.0006466236 0.0005411219 0.0005138956 0.0030119047 0.007626755 0.0006806564 0.0009393059 0.0019500806 0.0053227334 0.002691996 0.0012558111 0.0015825261 0.0008576271 0.00055813824 0.0007657385 0.0013613128 0.005693691 0.0019228545 0.00092228944 0.0035598332 0.0021610842 0.0009495157 0.0017697067 0.0009665321 0.0016573984 0.0032161016 0.002004533 0.0010448076 0.001640382 0.00048666933 0.0013068604 0.0008235943 0.0018990315 0.002858757 0.0017152542 0.0010992602 0.0013851358 0.0006806564 0.00086443365 0.0019126446 0.0022189398 0.0017935297 0.00086783693 0.0015791229 0.0012830374 0.0019330642 0.0007657385 0.0016676083 0.00086103036 0.001218375 0.0015825261 0.0016063491 0.000952919 0.0014497982 0.0012898439 0.004451493 0.005656255 0.0017084476 0.00097333867 0.0012251816 0.0013170702 0.0012728275 0.0010073715 0.0019500806 0.0016846247 0.0021678908 0.0010992602 0.0026715766 0.0017629002 0.0012660209 0.0050130347 0.0019228545 0.0037572235 0.0020249528 0.0016471886 0.0018718052 0.008297202 0.0023618778 0.017241027 0.0013102636 0.008205313 0.0023720877 0.0021032284 0.0024333468 0.0017697067 0.0011026635 0.0021202448 0.0013817325 0.0010243879 0.0009018698 0.001170729 0.0012660209 0.000905273 0.0009665321 0.0009495157 0.0013613128 0.00063981704 0.0012149718 0.0005343153 0.001592736 0.00061599404 0.0012217783 0.000844014 0.0015450901 0.0007419155 0.0014634113 0.001085647 0.0020215495 0.00086103036 0.0017288673 0.00094270916 0.0016914313 0.001446395 0.0013204735 0.00199092 0.0011366962 0.0025830911 0.0009086763 0.0022870055 0.0017867232 0.0014702178 0.0036653348 0.0008780468 0.006129311 0.00080998114 0.0032705541 0.002868967 0.0019092413 0.0013136669 0.0009869519 0.0010107748 0.0033147968 0.0028179176 0.0025660747 0.0026953993 0.0012524078 0.0009018698 0.003005098 0.002423137 0.0015484934 0.0023380548 0.0011537126 0.0011979553 0.003209295 0.0009324993 0.0017356739 0.0010686306 0.0016335754 0.0045638015 0.0017084476 0.0014634113 0.001796933 0.0021032284 0.001218375 0.0011264863 0.0022665858 0.0020896152 0.0016369787 0.0028757735 0.0027464486 0.002004533 0.0024265402 0.0016233656 0.0023618778 0.0007997713 0.000422007 0.00019739036 0.0011128732 0.00019398709 0.00038797417 0.00024843958 0.00907315 0.0031922786 0.00033352166 0.001592736 0.0018003363 0.0002824724 0.0002280199 0.0004356201 0.0024537663 0.0015144605 0.00042881354 0.00037436103 0.0011503093 0.00035053806 0.0044480897 0.0019092413 0.003389669 0.0024673794 0.006527495 0.0022155368 0.0036278986 0.00048326605 0.0014429917 0.123528935 0.094736844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0067468476 1.7132676e-05 2.2272478e-05 3.4265352e-06 3.0838815e-05 4.1118423e-05 6.8530703e-06 1.0279606e-05 4.283169e-05 3.5978617e-05 1.1992873e-05 8.566338e-06 6.8530703e-06 1.1992873e-05 1.5419408e-05 5.139803e-06 0.003234649 1.3706141e-05 1.0279606e-05 6.8530703e-06 1.5419408e-05 3.7691887e-05 4.283169e-05 1.1992873e-05 1.0279606e-05 2.9125547e-05 1.8845943e-05 3.0838815e-05 5.139803e-06 1.0279606e-05 3.4265352e-06 2.7412281e-05 0.015506784 4.797149e-05 5.1398027e-05 3.7691887e-05 0.000107935855 7.1957234e-05 0.00047628838 0.00012506853 4.283169e-05 3.426535e-05 0.00029639527 0.00024499727 1.0279606e-05 1.3706141e-05 3.426535e-05 0.00044202304 0.011638226 3.2552085e-05 2.0559211e-05 2.0559211e-05 2.5699013e-05 0.00014562774 0.00042660363 0.00021244517 1.0279606e-05 2.0559211e-05 0.00039747806 0.00035807292 1.7132676e-06 5.139803e-06 1.3706141e-05 0.0007058662 0.016438803 2.2272478e-05 3.5978617e-05 2.5699013e-05 4.9684757e-05 0.0003957648 0.000633909 0.00047800163 2.0559211e-05 8.2236846e-05 0.00070929277 0.0006990132 2.2272478e-05 5.139803e-06 1.5419408e-05 0.0014185855 0.015263501 7.3670504e-05 0.00014905428 5.653783e-05 0.00023985746 0.00052425987 0.00089603895 0.00070929277 1.1992873e-05 0.00026212994 0.00062705594 0.00066817435 5.9964364e-05 1.3706141e-05 6.8530703e-06 0.0014905428 0.028280908 0.00068188045 0.0006510417 0.0003529331 0.0034042627 0.00063219573 0.0005156935 0.0008292215 0.00038891172 0.0009354441 0.00053282623 0.0005499589 0.0002055921 0.00014562774 0.00014048794 0.0038582785 0.019776247 0.00025527686 0.0008977522 0.00033580043 0.0010827851 0.00086348684 0.00085834705 0.0010707922 0.00029125548 0.0009251645 0.00047800163 0.0005945038 0.0007949561 0.00022615131 4.4544955e-05 0.0030838817 0.033516653 0.007862185 0.0032929003 0.00043516996 0.0014888295 0.00072471215 0.001153029 0.001094778 0.008201412 0.001864035 0.00016790022 0.007344778 0.003125 0.0034351014 0.00026555647 0.01725603 0.06263535 0.013736979 0.009277344 0.0026675577 0.0029416804 0.00081208884 0.0019891036 0.0021210252 0.011855812 0.0064076204 0.00039233826 0.011384663 0.0069661457 0.012344093 0.0013363487 0.042605538 0.03857422 0.0139922565 0.015009937 0.0016790022 0.0033357318 0.003907963 0.006626919 0.008977522 0.0022529468 0.005807977 0.015085321 0.0050438596 0.0009817024 0.011972314 0.0017698053 0.047438666 0.00076583057 0.0002055921 0.00023814419 0.0003169545 0.0015899122 0.00035464638 0.00014734101 0.00043345668 0.0016430236 0.00011650219 0.000121642 0.0005619518 0.00112733 0.00023643092 0.0019873905 0.004188939 0.037270423 0.0061506303 0.0050061676 0.0052991365 0.015263501 0.0127107315 0.0051432294 0.008890145 0.026194148 0.0016447369 0.0012626782 0.0029725193 0.01275699 0.0027446547 0.01076446 0.021364447 0.017876234 0.003553317 0.0030136376 0.0031455592 0.007743969 0.0070004114 0.0028611568 0.0049719024 0.013065378 0.0009714227 0.0011513158 0.00182463 0.006301398 0.00234375 0.0064076204 0.01250514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 237.0 9.763713 2314.0 0.009939498 0.003889369 0.0017286085 0.00043215213 0.013396716 0.0 0.0 0.00086430425 0.0030250647 0.0017286085 0.00086430425 0.0017286085 0.003889369 0.00086430425 0.007778738 0.0 0.006914434 0.00043215213 0.0025929126 0.004321521 0.0021607606 0.0 0.0 0.00086430425 0.0021607606 0.00821089 0.0012964563 0.017286085 0.0025929126 0.00043215213 0.00043215213 0.003457217 0.015989628 0.029818496 0.006914434 0.014693172 0.015125324 0.012100259 0.026793431 0.014261019 0.0064822817 0.007778738 0.0 0.0017286085 0.011235955 0.0056179776 0.009075195 0.0025929126 0.010803803 0.006914434 0.004321521 0.023336215 0.009507347 0.0047536734 0.010371651 0.016853932 0.0021607606 0.0025929126 0.00043215213 0.0017286085 0.0012964563 0.0064822817 0.009507347 0.021175453 0.00086430425 0.033707865 0.004321521 0.018582541 0.021175453 0.08988764 0.011235955 0.007778738 0.0116681075 0.04494382 0.0012964563 0.0 0.038029388 0.017718237 0.0306828 0.034140017 0.015989628 0.0 0.04105445 0.01815039 0.076490924 0.01642178 0.0051858253 0.0056179776 0.012964563 0.006914434 0.0012964563 0.0 0.008643042 0.0 0.009075195 0.00043215213 5.592805 0.0 0.0 0.0 2.0 293834.0 479232.0 0.0 0.0 105.0 0.0 1.0 0.0 0.0 0.0 1290097700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 82944.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82944.0 0.0 355840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8112781 0.0 0.0 4.109855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4438212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.538919 0.0 4.5528126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 15526.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82890.0 0.0 355727.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 103316.0 355727.0 122880.0 0.0 0.0 7752.0 275576450.0 0.0 0.0 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 90112.0 0.0 0.0 0.0 0.0


Input: 0.29502818 0.040413506 0.026247704 0.015708731 0.018353354 0.0062817996 0.019651674 0.0051603517 0.0070316265 0.0033822178 0.017717365 0.0031234948 0.0027706902 0.0022654745 0.002473394 0.0020142777 0.0023341537 0.005930877 0.005005118 0.0038309852 0.0024489327 0.004515896 0.007193446 0.0025608893 0.0040633655 0.0010612356 0.0014497908 0.0022005585 0.0047727376 0.0017687259 0.0016548877 0.0015109435 0.0026916622 0.0012917344 0.0008166245 0.00065856817 0.0011976532 0.0021760974 0.0010753478 0.0025091446 0.013372697 0.0013425383 0.007991254 0.0037133836 0.002992722 0.0024743346 0.004321148 0.0050634486 0.0037735957 0.00096150953 0.0008166245 0.0010649988 0.00075547176 0.0005974154 0.0005927113 0.0005917705 0.001353828 0.001827997 0.0018063583 0.0028958183 0.001098868 0.0016426572 0.0014620213 0.00068302924 0.00076299824 0.003862032 0.0011129802 0.0051603517 0.002508204 0.0016577102 0.0022494807 0.0025138487 0.001533523 0.004481086 0.0011346189 0.0008853038 0.0038968418 0.0019869942 0.0013858156 0.002038739 0.0017847198 0.000499571 0.0013303077 0.003956113 0.003051052 0.00072254334 0.0026051074 0.00089283026 0.0017969502 0.0005212097 0.0016483021 0.00047510987 0.0005212097 0.00077805127 0.0004337142 0.00998013 0.0005136832 0.018751318 0.003450897 0.007966793 0.011953012 0.026537474 0.0018129441 0.0049580773 0.002653089 0.016016377 0.002268297 0.0017207445 0.00785954 0.00281679 0.018165192 0.018518936 0.008332768 0.000629403 0.019001573 0.010893658 0.018139789 0.0047924947 0.0050408687 0.003636237 0.0015768004 0.0028487777 0.0018007135 0.004030437 0.00042618767 0.0013961645 0.007029745 0.000404549 0.004047372 0.0028261982 0.0011722513 0.00082038774 0.0007582942 0.0007018455 0.0013726442 0.0010875782 0.0005230913 0.001109217 0.0005023934 0.00075547176 0.0005409667 0.00047605069 0.0016313674 0.0005005118 0.0011647248 0.0033445854 0.00050709746 0.0010348929 0.00045158959 0.0015768004 0.0007978083 0.00036221248 0.000469465 0.0005409667 0.00041677957 0.0003302249 0.0010433601 0.00045723448 0.00043653662 0.00035186356 0.0004525304 0.00038291034 0.0014958906 0.0004450039 0.0005710727 0.00041395714 0.00026436808 0.00036691656 0.00044688553 0.00032552084 0.00064821925 0.00050521584 0.00053814426 0.00053720345 0.00032740246 0.00047322825 0.00051838724 0.0018392868 0.0003386922 0.00046287934 0.0015100028 0.00048545882 0.000369739 0.00052779535 0.00055790134 0.00046193853 0.00035656762 0.00031329028 0.0003631533 0.000339633 0.00032740246 0.00034245543 0.000659509 0.0003151719 0.0005014526 0.00045629367 0.0013002018 0.00039890414 0.0018176481 0.00037632466 0.0004431223 0.0009060016 0.00040925306 0.0015843268 0.0016106695 0.0017913054 0.00029447404 0.00033492895 0.0010508866 0.00040737144 0.0003706798 0.0007009047 0.00061529083 0.0006529233 0.000469465 0.00036597572 0.0005484932 0.0013500648 0.00064257433 0.00047793234 0.00063504785 0.00042242443 0.0006011787 0.001458258 0.0029136937 0.00070560875 0.0009276403 0.00046287934 0.0016087879 0.00037632466 0.001827997 0.00047040582 0.00079498586 0.00058706646 0.0005136832 0.0006905558 0.00070560875 0.0004826364 0.000469465 0.00047887315 0.00062469894 0.00085425697 0.00040925306 0.00055884215 0.0010254848 0.00071595766 0.0006058827 0.0005240321 0.00051932805 0.0003716206 0.0005701319 0.00043183254 0.0006369295 0.0005127424 0.0042091915 0.00037350223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002361831 6.592032e-06 1.74218e-05 0.00010076392 4.378993e-05 5.2736257e-05 8.24004e-05 2.542641e-05 2.8251568e-06 6.4507745e-05 1.4125784e-06 8.946329e-06 1.600922e-05 7.627923e-05 2.0717816e-05 1.1300627e-05 0.048881333 0.00087061914 0.00067992107 0.0014742609 0.0011244124 0.00012948635 0.00029899576 0.00017845574 0.0003135924 0.0015142839 0.00020341128 0.0005504347 0.00054996385 0.0017393548 0.0016550709 0.0015528945 0.010643777 9.9351346e-05 0.00017374713 8.757986e-05 0.0018551862 0.0016272903 0.009783047 0.0041101323 0.0008682648 5.2736257e-05 0.0001243069 6.827462e-05 0.0003762167 0.00011441885 0.0006234179 0.00025049722 0.05815726 0.00035220286 0.0047227205 0.0011710274 0.013497657 0.012804552 0.07830581 0.034899633 0.0005480804 0.0001243069 9.605533e-05 0.00010264736 0.0001671551 0.000104530794 0.00021518276 0.00013136979 0.04497273 0.0025793682 0.0041755815 0.0016263486 0.002874597 0.0023806654 0.014121075 0.007421216 0.0009986929 0.0005099408 0.0003168884 0.00037009554 0.000994926 0.00041906492 0.0006493152 0.00044967077 0.12422402 0.01618956 0.016051598 0.0076368693 0.0063796747 0.0060740868 0.015235599 0.015006291 0.0047820485 0.004120491 0.002354768 0.0028595293 0.004556507 0.0032781234 0.004599355 0.0038742316 0.16445425 0.028448857 0.025276678 0.008150578 0.009259451 0.006419698 0.020786561 0.024130605 0.00918741 0.0060081664 0.0039076624 0.004823484 0.006194156 0.004693056 0.005825473 0.0060886834 0.012089317 0.0033892463 0.0021965594 0.0011540765 0.00206001 0.0014116366 0.0072780745 0.0037795887 0.0018316433 0.000814116 0.00091911765 0.00026321044 0.0002787488 0.00026085615 0.00034890685 0.00049769843 0.0015670202 0.00038233786 0.0004039974 0.0005278335 9.1817594e-05 0.000117244 0.00014926244 0.0004807475 0.00030511693 8.852158e-05 0.00027545277 7.486665e-05 7.675009e-05 9.323017e-05 9.134673e-05 9.605533e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7868.0 23.684671 186351.0 0.0018137816 0.00015025408 0.000118056785 0.00012878922 0.00078883395 6.976083e-05 4.292974e-05 0.00010195813 0.000493692 0.0005580866 0.00046686092 0.00019855004 0.0016849923 0.00013952165 0.009133303 0.007383915 0.0028440952 0.002248445 0.0009498205 0.0006117488 0.00081566506 0.00062784745 0.0004292974 0.0005205231 0.00038636767 0.0012234976 0.00041856497 0.0007459042 0.0019157396 0.0012664273 0.0019372045 5.3662174e-05 2.146487e-05 0.013823376 0.0023557695 0.011263691 0.0058384445 0.0040783253 0.004169551 0.010233377 0.005473542 0.0148107605 0.0015884003 0.001379118 0.01293795 0.0066433772 0.0041588186 0.0052427943 0.0052964566 0.00022538114 0.0032626602 0.013657023 0.006385799 0.0014166815 0.0050710756 0.0012610612 0.0003058744 8.0493264e-05 0.00078883395 1.0732435e-05 1.0732435e-05 1.0732435e-05 5.3662175e-06 0.0541666 0.00025221222 0.07155851 0.01293795 0.031376272 0.042371653 0.108225875 0.0049637514 0.017998293 0.008419596 0.060332384 0.0060316287 0.006428729 0.031166991 0.00967529 0.07262639 0.049884357 0.01569082 0.0010088489 0.05779953 0.023595259 0.07055503 0.017424108 0.018309534 0.011972032 0.003820747 0.008687906 0.00059565017 1.0732435e-05 5.3662175e-06 1.0732435e-05 1.0732435e-05 1.0732435e-05 4.9890003 0.0 0.0 0.0 1.0 1062912.0 1089536.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1515629800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 8.0 0.0 4.0 0.0 4.0 0.0 1060864.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1060864.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6752 0.0 3.0724592 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 -1060372.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 1068480.0 1024.0 1073152.0 0.0 0.0 0.0 0.0 12.0 1081344.0 0.0 0.0 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: 0.18616576 0.010205011 0.006095143 0.0075981654 0.0068265605 0.0037562158 0.003933042 0.004021455 0.0059076003 0.0031319659 0.0030864198 0.0030194402 0.0045706877 0.0069283694 0.0031507201 0.0051413537 0.0044045784 0.0027274091 0.0024514531 0.0024568115 0.0031801912 0.003847308 0.002478245 0.002360361 0.002842614 0.002274627 0.00219961 0.001998671 0.0026979381 0.0022371185 0.0022826646 0.0022665896 0.004048247 0.0021487055 0.002389832 0.0023737568 0.0069873114 0.0029337064 0.0024219821 0.002186214 0.0023121356 0.002087084 0.0022183643 0.0024675282 0.0022264018 0.002113876 0.0025961292 0.0022371185 0.0029524607 0.0022183643 0.0026256002 0.0053851595 0.0027756344 0.0025130743 0.002116555 0.0023496442 0.0024996784 0.0020736882 0.0022692687 0.0032739625 0.0027809928 0.0023523234 0.0026175627 0.0022183643 0.0064648706 0.0057656034 0.0022558728 0.0030703447 0.0040027006 0.0074079433 0.0029819317 0.002606846 0.002681863 0.0023683985 0.0022397977 0.002376436 0.003394526 0.003933042 0.0027863511 0.0022692687 0.0054173097 0.0022639104 0.0028640474 0.0040160967 0.0031721536 0.0034159594 0.0029122727 0.0032150205 0.0023791152 0.0025425456 0.0019424083 0.0030864198 0.0027140132 0.002301419 0.0025586206 0.0024273405 0.0026282794 0.003223058 0.0021808557 0.0028399348 0.0034427512 0.006614905 0.003804441 0.0022264018 0.004576046 0.0035177683 0.0050609782 0.0021969308 0.0034132802 0.002638996 0.003295396 0.0035954646 0.0028961976 0.0019263332 0.004008059 0.0039437586 0.00689354 0.005433385 0.0021969308 0.00219961 0.0024219821 0.002301419 0.001982596 0.0021728182 0.0026416753 0.0027193716 0.0021915725 0.0022237226 0.0042893733 0.0032284164 0.002346965 0.0084045995 0.0033998843 0.0056343237 0.0020335005 0.0022397977 0.0031560785 0.0068721063 0.0030944573 0.0145801185 0.0022853438 0.0066765263 0.0020817257 0.002170139 0.0045814044 0.0026416753 0.0022826646 0.0023978695 0.0024434156 0.0023817944 0.0020602923 0.002012067 0.0022505145 0.0019022205 0.0020040295 0.0026765047 0.0027756344 0.0017736197 0.0019370499 0.0018138074 0.0020817257 0.0020067086 0.0018111282 0.0021353094 0.002333569 0.0024434156 0.0021594223 0.0019879544 0.0022960606 0.0020522547 0.0022264018 0.0019718793 0.0023255316 0.0020308213 0.0020093878 0.0020897633 0.004391182 0.001953125 0.0018861454 0.0023951903 0.0026148835 0.002389832 0.002405907 0.002143347 0.003496335 0.0022826646 0.0029980068 0.0022612312 0.0030221194 0.0020629715 0.002304098 0.0019182956 0.0052592377 0.003659765 0.0027729552 0.0036356524 0.0034132802 0.0021272718 0.0032927168 0.0029926484 0.0026845422 0.0026791838 0.001894183 0.0020897633 0.0020522547 0.0019129373 0.0020978008 0.0019182956 0.0028961976 0.0022907022 0.0029846109 0.0024300197 0.002274627 0.0019718793 0.0024594907 0.002170139 0.0028961976 0.002054934 0.002170139 0.002392511 0.0029069143 0.0020174254 0.0020656507 0.004763589 0.004099151 0.0028211805 0.0028238597 0.0025103951 0.0028185013 0.0024541323 0.0023978695 0.0022183643 0.0081688315 0.003892854 0.0021728182 0.0042947317 0.003279321 0.0022531936 0.0022022892 0.002183535 0.003295396 0.002071009 0.0025532623 0.0026175627 0.0027166924 0.002186214 0.0025693374 0.0027166924 0.003981267 0.0025693374 0.0025184327 0.0025398664 0.0036249356 0.0025854125 0.004284015 0.0361797 0.05218287 0.0 0.0 2.6902549e-06 0.00011568096 4.035382e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052298554 6.3220985e-05 3.631844e-05 2.6902549e-06 3.766357e-05 8.070764e-06 8.070764e-06 8.070764e-06 3.9008693e-05 9.415892e-06 2.6902549e-06 9.415892e-06 9.415892e-06 5.3805097e-06 5.3805097e-06 3.4973313e-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 0.0046379995 0.0001815922 1.6141528e-05 1.3451274e-05 0.00040488335 0.0001425835 9.415892e-06 1.2106147e-05 1.2106147e-05 1.0761019e-05 1.0761019e-05 1.4796402e-05 1.2106147e-05 1.2106147e-05 1.0761019e-05 8.070764e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022705751 1.2106147e-05 3.631844e-05 2.6902548e-05 2.8247676e-05 6.1875864e-05 8.743328e-05 4.9769715e-05 4.4389206e-05 1.4796402e-05 2.017691e-05 1.0761019e-05 2.1522039e-05 8.070764e-06 1.3451274e-06 6.0530732e-05 0.0036802685 0.00013316762 6.0530732e-05 5.5150223e-05 0.0002999634 0.000118371216 0.00069946627 0.00032686596 1.7486656e-05 1.4796402e-05 1.3451274e-05 1.6141528e-05 1.7486656e-05 1.0761019e-05 1.4796402e-05 3.0937932e-05 0.005796154 9.5504045e-05 0.00013451274 9.81943e-05 0.00020042398 0.000102229686 0.00020042398 0.00019235323 0.00016814092 5.2459967e-05 0.00010895532 0.00016948605 9.146866e-05 0.00012240659 0.0001815922 0.0005501571 0.010625161 0.0003039988 0.00025826445 0.00019504348 0.000675254 0.0005784048 0.001667958 0.0008528108 0.0003726003 0.0001667958 0.00015872503 0.00028247674 0.00026633524 0.00061472325 0.00049635203 0.0017688426 0.029833581 0.0013437823 0.0016612323 0.00082321797 0.0021454783 0.0015294099 0.003736764 0.0020015496 0.0011433583 0.00063624524 0.00052190945 0.0009617661 0.0007169529 0.0016424005 0.002364734 0.006788858 0.019248772 0.0019302579 0.0011030044 0.0007747934 0.0005582279 0.00055553764 0.00060530734 0.00075327134 0.0006523868 0.00039546745 0.0005999268 0.0009523502 0.000570334 0.0022557788 0.0031906422 0.007176255 0.017440923 0.0011178008 0.002005585 0.0025180785 0.0028772275 0.0017110021 0.0060127196 0.003346677 0.001382791 0.0011056947 0.00067928934 0.0006577673 0.0007209883 0.001140668 0.0010626507 0.003052094 0.016732039 0.0011325973 0.0021508588 0.0024454417 0.0045357696 0.0016235688 0.003263279 0.0027400246 0.0053576427 0.00084474 0.0010599605 0.0024992467 0.0019773373 0.0011124203 0.0020405583 0.0028261128 0.051732253 0.0070256004 0.006396081 0.006316718 0.013014108 0.009762934 0.0070471223 0.007994092 0.02765851 0.005457182 0.002300168 0.0061284006 0.010225658 0.0050321217 0.010221623 0.022034531 0.014789676 0.0023943267 0.0030332622 0.0031543237 0.0041228156 0.0041012936 0.003548446 0.0029189265 0.00902984 0.002936413 0.0011554644 0.0018280281 0.004212939 0.0022046638 0.004442956 0.007751969 0.02828803 0.027124494 0.027002087 0.026749203 0.027474226 0.026911965 0.027706934 0.02670347 0.026911965 0.026442515 0.02746481 0.027155433 0.025818376 0.026745168 0.026759965 0.027248247 1654.0 9.680774 16012.0 0.010054959 0.003185111 0.005995503 0.0039970023 0.005808144 0.00830627 0.0037471897 0.004246815 0.0039970023 0.003934549 0.0038096427 0.0033100175 0.004246815 0.006495129 0.010179865 0.005121159 0.0075568324 0.0046215337 0.006994754 0.008181364 0.006932301 0.0071196603 0.0051836125 0.006245316 0.00612041 0.005495878 0.0051836125 0.0078066452 0.0047464403 0.006245316 0.0060579567 0.0041843615 0.0039970023 0.043529853 0.0056207846 0.012303272 0.017674245 0.009930053 0.015550837 0.013989508 0.0071196603 0.010367225 0.0044341744 0.005058706 0.011304022 0.008618536 0.010617037 0.007431926 0.012802898 0.0041219085 0.009055709 0.014614039 0.011116662 0.003934549 0.0049962527 0.010617037 0.0075568324 0.0056832377 0.0036847366 0.004309268 0.0079940045 0.0046215337 0.003934549 0.0047464403 0.0036847366 0.026917312 0.0060579567 0.016674994 0.020609543 0.07356982 0.008118911 0.009430427 0.009555333 0.03322508 0.0048088934 0.005995503 0.026230328 0.01442668 0.027042218 0.030539595 0.012490632 0.003185111 0.039158132 0.030789409 0.04303023 0.012178366 0.005808144 0.008056458 0.008868349 0.010054959 0.0040594554 0.0038096427 0.0028103923 0.0029352985 0.0053709717 0.0040594554 6.082532 10.0 2.0 0.0 6.0 373248.0 401408.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1021378900.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 290816.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 71680.0 0.0 0.0 0.0 0.0 0.0 0.0 249856.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4642386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2917829 0.0 0.0 0.0 0.0 0.0 6.195955 0.0 0.0 0.0 0.0 0.0 0.0 7.588381 0.0 4.9287195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 249856.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 397312.0 6872.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16435757 0.00949022 0.005257981 0.012129047 0.02412039 0.003147482 0.001528777 0.0014219874 0.010799797 0.0008880396 0.0016889613 0.0009892086 0.0024308679 0.0013966952 0.00093019335 0.0028973697 0.0036701888 0.0009161421 0.0009161421 0.0006660297 0.0018463355 0.0017564073 0.0007334757 0.0005311376 0.0018547662 0.0006575989 0.0008318345 0.0004889838 0.0015877923 0.0006688399 0.0008852293 0.0005536196 0.011319694 0.0006126349 0.0010678957 0.0005592401 0.0069357012 0.00669402 0.0006772707 0.00048617355 0.0012365108 0.0005367581 0.0006828912 0.0008065423 0.0013320594 0.0026332058 0.0040017986 0.00059296313 0.005460319 0.0030406925 0.0032514613 0.007295414 0.0031165692 0.002824303 0.0023802833 0.0023746628 0.0036589478 0.0022959758 0.0028776978 0.0030266412 0.0025151754 0.0026416366 0.0025179856 0.0021104992 0.017505059 0.0017479766 0.0013854541 0.002534847 0.0019587455 0.015827337 0.0070396806 0.001998089 0.0018660072 0.0015259667 0.0010735162 0.00071942445 0.0017535972 0.0027624776 0.0011971673 0.0010454137 0.009768435 0.0012308903 0.0025179856 0.0048083407 0.0031278103 0.008186263 0.0032795637 0.0017198741 0.0018069919 0.0035240557 0.0018800584 0.0015709307 0.001273044 0.002166704 0.0013348697 0.0017535972 0.00097515737 0.018120503 0.0050472124 0.0054743704 0.0075848694 0.010704249 0.0028720773 0.0040017986 0.005893098 0.024154114 0.006089816 0.0030294515 0.013652204 0.0035352968 0.014846561 0.010004496 0.006005508 0.011125787 0.01295526 0.0066012815 0.017488196 0.004532936 0.0065422663 0.0011212905 0.00279058 0.0019222122 0.005055643 0.0005479991 0.0012983363 0.0011887365 0.0008739883 0.00068008096 0.0040917266 0.00096391636 0.0009105216 0.004066434 0.0026500674 0.004524505 0.0005536196 0.00038781474 0.0020261914 0.0060841953 0.002242581 0.03460544 0.0010707059 0.008425135 0.000401866 0.00051708636 0.0020261914 0.00049741456 0.0006519784 0.00051989657 0.0010510342 0.0012702338 0.00041872752 0.0003850045 0.0009948291 0.0004327788 0.0005817221 0.0004552608 0.0011128597 0.0005311376 0.0009161421 0.0005479991 0.001618705 0.0051933452 0.0008683678 0.0012421313 0.0013348697 0.0011100494 0.0007222347 0.0012899056 0.0030856566 0.0005002248 0.0008177833 0.00060982467 0.0014163669 0.0006547887 0.0006435477 0.00083745504 0.0021470324 0.001194357 0.0017311152 0.001273044 0.0011212905 0.00060139387 0.0007278552 0.0006435477 0.0032402202 0.002411196 0.0034537995 0.0008093525 0.0012477518 0.0006547887 0.0010285522 0.00059858366 0.012522482 0.00078125 0.0016102743 0.004620054 0.0030997077 0.00049741456 0.0025545189 0.0015372077 0.0018154227 0.0011578237 0.0006070144 0.0004608813 0.001295526 0.00050865556 0.0005620504 0.00042434802 0.0017339253 0.00034004048 0.001250562 0.0012561826 0.0011803057 0.00033441995 0.00069694244 0.00052270683 0.0026584982 0.0005114658 0.000770009 0.0011212905 0.0014304181 0.0004946043 0.0005873426 0.00044683003 0.0019727969 0.00052270683 0.00078125 0.0006688399 0.0019896582 0.0014753822 0.00047493255 0.0007503372 0.01909004 0.0025264164 0.00076719874 0.003192446 0.0032514613 0.0005536196 0.00074471673 0.0008290243 0.0033076664 0.0007953013 0.00081216276 0.000792491 0.0026247753 0.0004440198 0.001126911 0.0008908498 0.0043615107 0.00074190646 0.001573741 0.00122808 0.0049179406 0.0033076664 0.009630733 0.06151079 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0049477285 4.515896e-05 3.2458003e-05 2.1168262e-05 3.6691654e-05 3.386922e-05 2.257948e-05 3.2458003e-05 3.5280438e-05 4.9392613e-05 0.00026954254 1.8345827e-05 4.7981393e-05 4.7981393e-05 3.8102873e-05 0.00010160766 0.0325836 0.00036550532 0.0003640941 0.0003640941 0.0003386922 0.0004191316 0.00035844924 0.00043747743 0.00038102872 0.00039231847 0.0008862446 0.001343479 0.0010132542 0.00044029986 0.0004050194 0.000369739 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014831896 9.8785225e-05 0.0029282763 0.0010061981 0.007651621 0.0017400312 0.040434204 0.01962298 0.0002751874 6.914965e-05 8.7495486e-05 6.632722e-05 8.043939e-05 0.00019474802 0.00024837427 0.00025966403 0.035486475 0.00070984237 0.004815074 0.002719416 0.0138976695 0.0049886536 0.054168172 0.030640354 0.00074088917 0.0006378703 0.0007197209 0.0007027863 0.0007634687 0.0008015715 0.0006279918 0.000759235 0.009436811 0.00019333679 0.002959323 0.0022480695 0.0040741847 0.0020547328 0.010323056 0.008859623 0.0005263841 0.00015946757 0.00018910314 0.00032740246 0.00042336524 0.00036550532 0.0005376739 0.00067456195 0.011838703 0.00037397264 0.001011843 0.001278563 0.0019700597 0.0010612356 0.0008650763 0.00083685195 0.0007338331 0.00043042132 0.00023708453 0.0003711502 0.00050521584 0.00025966403 0.00036550532 0.0009822074 0.011268572 0.0020998917 0.0040050354 0.026824422 0.0019249007 0.0019390128 0.0022113777 0.0020293307 0.0039372966 0.0018529285 0.0018994987 0.0025782944 0.0046937093 0.0018331715 0.0019107885 0.0041362783 0.012006639 0.000739478 0.0059087677 0.0008721324 0.0014916569 0.0011473198 0.0010711141 0.000739478 0.0059073563 0.0009299923 0.002317219 0.0022875837 0.003738315 0.00050380465 0.0019545362 0.0075175557 0.07086852 0.007940921 0.011612909 0.008481417 0.018045237 0.018815763 0.013048117 0.008110267 0.037616003 0.00440441 0.01047829 0.009844653 0.012628986 0.0054091965 0.019539718 0.05240415 0.037268844 0.005345692 0.005936992 0.006984115 0.011722984 0.017057385 0.012983201 0.008951353 0.022970388 0.0028450144 0.004243531 0.0048178965 0.00952854 0.004771326 0.0134460805 0.030548625 0.0009934971 0.00067456195 0.0006858517 0.0007578238 0.000771936 0.00074088917 0.00078463694 0.0006533937 0.00067315076 0.0006533937 0.0006999639 0.00061529083 0.00073806674 0.0007634687 0.0006759732 0.0006787956 4205.0 21.72509 91354.0 0.028504498 0.00033933928 0.0012588393 0.00026271428 0.02234166 0.0021892856 0.00043785712 0.00032839284 0.00061299995 0.00026271428 0.000842875 0.0003502857 0.0007334107 0.0070494995 0.012675964 0.0005582678 0.0067648925 0.0061737853 0.006031482 0.004498982 0.0037108392 0.0060643214 0.0036013748 0.0039954465 0.0036123213 0.0036889464 0.0047616963 0.0036998927 0.0035138035 0.002966482 0.003196357 0.003119732 0.047025856 0.0035575891 0.001915625 0.005440375 0.0035466428 0.0049149464 0.023830375 0.0048164283 0.0016748036 0.0027256606 0.0017952143 0.0005692143 0.003480964 0.0028022856 0.0012369464 0.0019813036 0.009337303 0.0017623749 0.003940714 0.009545285 0.005954857 0.0019484642 0.0021345534 0.0016200714 0.0010399107 0.0009961249 0.0009961249 0.000689625 0.0017076428 0.00087571424 0.000842875 0.0036232676 0.0005473214 0.0689406 0.017853625 0.01970357 0.013070035 0.03945093 0.0046850713 0.013737767 0.0047398033 0.09257394 0.0022659106 0.010738446 0.049390282 0.012052017 0.055947196 0.03686757 0.018959213 0.041235194 0.047540337 0.023129802 0.054841604 0.0076843924 0.023370624 0.003043107 0.004192482 0.0060971603 0.018400947 0.0005911071 0.00087571424 0.00040501784 0.00030649998 0.00028460714 5.360802 0.0 0.0 0.0 4.0 355840.0 385024.0 0.0 2.0 778.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 208384.0 1024.0 4096.0 9.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -18944.0 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 -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 -208384.0 0.0 0.0 512.0 0.0 0.0 0.0 -108544.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7459555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2157707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2440567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3712573 0.0 0.0 4.442283 0.0 0.0 0.0 -5.021023 5.9503584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218.0 0.0 0.0 -18692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3481.0 0.0 0.0 0.0 0.0 0.0 -544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208180.0 0.0 0.0 121.0 0.0 0.0 0.0 -108170.0 16896.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 -2.0 2.0 2.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 2.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 3.0 -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 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -3.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 3.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -2.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 -2.0 0.0 0.0 1.0 2.0 0.0 -1.0 -1.0 -1.0 2.0 1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -2.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 2.0 1.0 0.0 -2.0 -1.0 -2.0 -2.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 2.0 0.0 1.0 3.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 1.0 -1.0 3.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 3.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 -2.0 2.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -3.0 -2.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 3.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 3.0 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 -1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 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 2.0 1.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 2.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 2.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -3.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 1.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 121.0 331776.0 108170.0 221184.0 16896.0 364544.0 0.0 0.0 0.0 0.0 18692.0 344064.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 339968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13050188 0.007132394 0.0043945312 0.0043945312 0.0073242188 0.0026855469 0.0017002651 0.0014910017 0.0044555664 0.0010375977 0.0020054409 0.00096784317 0.0026855469 0.0012642996 0.0010375977 0.0035226005 0.0046299524 0.0009765625 0.0006626674 0.00089808874 0.0019792828 0.0016566685 0.0006365095 0.0006888253 0.0013427734 0.00057547435 0.00060163223 0.00061035156 0.0011422293 0.0006452288 0.0008893694 0.000566755 0.004106794 0.0005318778 0.0007498605 0.0004970006 0.0031476703 0.0016305106 0.0006713867 0.0006452288 0.0011945452 0.0009940012 0.00096784317 0.0010375977 0.0019095285 0.0012468611 0.0016741072 0.0007760184 0.005004883 0.0025285992 0.0025111607 0.008100237 0.0027814594 0.0027553013 0.0024414062 0.0017961775 0.0028163365 0.002153669 0.00226702 0.0027727399 0.002546038 0.0024937221 0.001813616 0.0015956333 0.010280064 0.014718192 0.0012817383 0.0021711078 0.002633231 0.022783551 0.0016915457 0.0019618443 0.0016828264 0.0014910017 0.0012555803 0.0010288784 0.0021623883 0.0025721958 0.0011509487 0.0010724749 0.012329102 0.0020577568 0.0016828264 0.004193987 0.002659389 0.01310512 0.0027901786 0.0025373187 0.0028163365 0.005353655 0.004725865 0.0028686523 0.0023978096 0.0031302315 0.002546038 0.002153669 0.0010375977 0.0025111607 0.0009416853 0.0018223354 0.008370535 0.005004883 0.0014561245 0.000906808 0.00982666 0.0027553013 0.00566755 0.00089808874 0.0035749164 0.0013863699 0.0023890904 0.0027117047 0.002293178 0.00061035156 0.0029820034 0.0025896344 0.007829939 0.007132394 0.0013253348 0.00095040456 0.002179827 0.0012032645 0.00072370254 0.0006190709 0.0020577568 0.0015258789 0.0011247908 0.001159668 0.0033046177 0.001273019 0.0006888253 0.005693708 0.0030081612 0.016043527 0.0004970006 0.0007324219 0.0018833706 0.010794504 0.0014125279 0.0430821 0.00163923 0.027666364 0.00057547435 0.0005318778 0.0019618443 0.000453404 0.000453404 0.00038364955 0.0015869141 0.006652832 0.0004098075 0.0004359654 0.0016915457 0.0004272461 0.00052315847 0.00055803574 0.0016305106 0.000453404 0.00040108818 0.00040108818 0.0015694754 0.0030953544 0.0006452288 0.0020141602 0.0016566685 0.0007324219 0.0007324219 0.00052315847 0.001813616 0.00046212334 0.0004272461 0.0004272461 0.0017351423 0.0004185268 0.00069754466 0.0005493164 0.0027640206 0.00061035156 0.00071498327 0.00061035156 0.0018223354 0.0030430385 0.0012032645 0.0006888253 0.0071236747 0.0025547573 0.0055629187 0.00048828125 0.0018833706 0.00061035156 0.00062779017 0.0005318778 0.011265346 0.0010724749 0.0013602121 0.00818743 0.0035749164 0.0013689314 0.0037580219 0.0035138812 0.0032958984 0.0013689314 0.000819615 0.0006888253 0.0020141602 0.0005493164 0.00068010605 0.00079345703 0.004961286 0.0013514927 0.0017351423 0.0012294224 0.00226702 0.0008544922 0.0012904576 0.0011509487 0.0043160575 0.000906808 0.00082833425 0.0015694754 0.0018223354 0.0004272461 0.0006365095 0.0005318778 0.0021972656 0.00071498327 0.0008370536 0.0007760184 0.002406529 0.0014299665 0.0006190709 0.0006365095 0.03918457 0.0036010742 0.00072370254 0.004132952 0.004699707 0.0007847377 0.0006626674 0.0013776507 0.0050833565 0.00070626393 0.0010637556 0.0008544922 0.004586356 0.0007760184 0.0013689314 0.0014125279 0.006164551 0.0014299665 0.0011858259 0.001839774 0.008483887 0.009076799 0.015511649 0.1317749 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003281602 1.3196791e-05 8.79786e-05 0.000109973254 0.0007698128 0.00030352618 0.0026789485 0.0011657164 3.079251e-05 2.6393582e-05 2.199465e-05 2.199465e-05 2.199465e-05 0.0004354941 2.199465e-05 1.7595721e-05 0.0049531953 0.00021114865 0.00032991977 0.0001319679 0.00046188766 0.00035631334 0.00028153154 0.00022434544 0.00062024913 7.478181e-05 3.959037e-05 8.79786e-05 0.00042669624 0.00022874436 0.00014076577 0.00043989302 0.0148024 0.0017243807 0.0020367047 0.019025372 0.0030396609 0.004350542 0.003664309 0.002652555 0.007504575 0.00283731 0.0017199817 0.0024502042 0.0018343539 0.001953125 0.0038666597 0.016627956 0.014736416 0.001200908 0.0017771678 0.003919447 0.005679019 0.0057494016 0.0066731772 0.003664309 0.012070664 0.0028769004 0.0013900619 0.0028593047 0.0019839176 0.0016144074 0.0062596775 0.02664432 0.059873838 0.005679019 0.0061892946 0.0073242188 0.023851 0.022390554 0.014666033 0.010240709 0.044231243 0.0071482616 0.0062728743 0.012123452 0.012506158 0.007843292 0.024625212 0.077377185 0.075723186 0.009677647 0.011375633 0.014340512 0.036572706 0.034632776 0.023516681 0.018519497 0.05530775 0.005476668 0.008063239 0.013429934 0.02775725 0.013927013 0.030321825 0.07180814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 605.0 11.890909 7194.0 0.014734501 0.0009730331 0.0031971086 0.001529052 0.0018070615 0.0012510426 0.0016680567 0.00083402835 0.0031971086 0.0026410897 0.0016680567 0.0009730331 0.0038921323 0.0033361134 0.009313317 0.0037531275 0.014873506 0.014178482 0.01737559 0.01501251 0.01529052 0.016263554 0.01793161 0.01028635 0.011259383 0.013761468 0.014456492 0.01028635 0.0109813735 0.012371421 0.010703363 0.008896302 0.0048651653 0.013066445 0.005143175 0.012510425 0.00792327 0.010564359 0.011954406 0.011398387 0.005977203 0.0068112314 0.0027800945 0.0034751182 0.0073672505 0.0063942173 0.0048651653 0.004448151 0.0069502364 0.01264943 0.008618293 0.014873506 0.009452322 0.011120378 0.00792327 0.012232416 0.0034751182 0.005143175 0.004726161 0.0043091467 0.003058104 0.0050041704 0.004031137 0.0063942173 0.0019460662 0.025576869 0.008201279 0.020016681 0.021267723 0.06422018 0.0037531275 0.0056991936 0.013066445 0.031415068 0.0022240756 0.0054211845 0.037253268 0.01264943 0.02585488 0.03058104 0.014456492 0.0020850708 0.03266611 0.02613289 0.046010565 0.015429525 0.0069502364 0.0048651653 0.0077842646 0.011120378 0.0058381986 0.0013900473 0.0029190993 0.0018070615 0.0011120378 0.0020850708 6.05752 0.0 2.0 0.0 1.0 114688.0 131072.0 0.0 0.0 10.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 104448.0 1024.0 4096.0 5.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7504125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1489506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.195512 0.0 0.0 0.0 0.0 0.0 0.0 -4.727231 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2245.0 0.0 0.0 0.0 0.0 0.0 -1644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104112.0 0.0 0.0 0.0 0.0 0.0 0.0 -1950.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1950.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 4956.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.43648043 0.00931139 0.0025985276 0.001371445 0.0038977913 0.0020932583 0.0012992638 0.0005052692 0.00548578 0.0006496319 0.0012270825 0.0007218132 0.0041865166 0.0023098022 0.0010827198 0.0064963186 0.0041865166 0.0011549011 0.0005052692 0.00057745056 0.0028872527 0.0020932583 0.00028872528 0.00028872528 0.0021654395 0.0003609066 0.00043308793 0.00043308793 0.00086617586 0.0003609066 0.0003609066 0.00057745056 0.0030316154 0.0007218132 0.00086617586 0.00043308793 0.013497907 0.0026707088 0.0007218132 0.00014436264 0.001804533 0.00021654397 0.00086617586 0.0010105384 0.001371445 0.00057745056 0.001371445 0.00021654397 0.0062075933 0.00382561 0.0015158077 0.0014436264 0.0034647034 0.0023819834 0.0010827198 0.00028872528 0.001587989 0.0023819834 0.00043308793 0.0005052692 0.0023819834 0.0003609066 0.00021654397 0.00028872528 0.008806121 0.0023098022 0.00086617586 0.0023819834 0.00981666 0.020138588 0.0007939945 0.0015158077 0.001804533 0.00086617586 0.0006496319 0.0005052692 0.0030316154 0.011332467 0.00086617586 0.0012270825 0.0028150715 0.001804533 0.001371445 0.001587989 0.0028150715 0.0111159235 0.0021654395 0.0018767143 0.0010105384 0.00043308793 0.0003609066 0.0012992638 0.00043308793 0.0041143354 0.0023819834 0.0015158077 0.00086617586 0.0016601704 0.0007939945 0.0011549011 0.003392522 0.004547423 0.0055579618 0.00093835715 0.002454165 0.0020210769 0.0006496319 0.0012270825 0.00274289 0.0010827198 0.0023819834 0.0030316154 0.0028150715 0.0005052692 0.0028150715 0.0011549011 0.007434676 0.006135412 0.00043308793 0.0007218132 0.0023098022 0.00093835715 0.00043308793 0.00028872528 0.0010827198 0.0028872527 0.0005052692 0.00028872528 0.0034647034 0.0025985276 0.00057745056 0.0134257255 0.0025263461 0.0028872527 0.00021654397 0.0010827198 0.0032481593 0.03450267 0.0028872527 0.02908907 0.0007939945 0.004547423 0.0005052692 0.0005052692 0.0014436264 0.00014436264 0.0005052692 0.00021654397 0.0010827198 0.001371445 7.218132e-05 0.00043308793 0.00057745056 0.0003609066 0.00021654397 0.00028872528 0.0005052692 0.0006496319 7.218132e-05 0.00028872528 0.0005052692 0.00028872528 0.00014436264 0.00086617586 0.00014436264 7.218132e-05 0.00021654397 7.218132e-05 0.0006496319 0.00028872528 0.0003609066 0.00014436264 0.00086617586 0.0005052692 7.218132e-05 0.0006496319 0.00086617586 0.00028872528 0.0003609066 7.218132e-05 0.0010105384 0.00043308793 0.0007218132 0.0006496319 0.0020210769 0.0010827198 0.0007218132 7.218132e-05 0.0012270825 0.0007939945 0.0007939945 0.0006496319 0.004258698 0.0032481593 0.002454165 0.004330879 0.004547423 0.00043308793 0.0017323517 0.0057745054 0.0029594342 0.0015158077 0.0010827198 0.0003609066 0.0021654395 0.00093835715 0.0007218132 0.00021654397 0.00274289 0.002237621 0.001371445 0.0007218132 0.002237621 0.00014436264 0.0007939945 0.00086617586 0.0030316154 0.00057745056 0.00057745056 0.00021654397 0.0025263461 0.00021654397 0.00093835715 0.0003609066 0.0031037966 0.0015158077 0.0005052692 0.0007939945 0.0035368847 0.0031037966 0.00028872528 0.00043308793 0.006063231 0.0018767143 7.218132e-05 0.006063231 0.006351956 0.00014436264 0.00028872528 0.0007218132 0.0036812474 0.0006496319 0.0017323517 0.0012992638 0.0023819834 7.218132e-05 0.0016601704 0.0010827198 0.0059910496 0.0017323517 0.0014436264 0.0016601704 0.001587989 0.0003609066 0.0014436264 0.028944708 0.16666667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07397461 0.000773112 0.0008951823 0.00040690103 0.0012207031 0.0008951823 0.0017089844 0.0010579427 0.00036621094 0.00024414062 0.00012207031 0.00056966144 0.00032552084 4.0690105e-05 0.0005289714 0.00020345052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.064453125 0.0010172526 0.0016276041 0.0036214192 0.001546224 0.0014241537 0.0021565754 0.001546224 0.0010172526 0.00028483072 0.00044759116 0.00081380206 0.000773112 0.0012207031 0.000773112 0.00061035156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10017904 0.002726237 0.005900065 0.0041910806 0.009033203 0.005126953 0.0024414062 0.0024820964 0.013427734 0.0009358724 0.0008951823 0.0011393229 0.0049235024 0.0024414062 0.004272461 0.006551107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07356771 0.013142903 0.021606445 0.018595377 0.05419922 0.029785156 0.0113932295 0.01924642 0.099609375 0.007120768 0.0043945312 0.009358724 0.034057617 0.017089844 0.032348633 0.05448405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59.0 10.508474 620.0 0.019354839 0.0016129032 0.0 0.0 0.0016129032 0.0 0.0016129032 0.0 0.0048387097 0.0 0.0016129032 0.0048387097 0.0032258064 0.0 0.017741935 0.0016129032 0.0016129032 0.0 0.006451613 0.006451613 0.0 0.0032258064 0.0 0.0 0.0 0.0048387097 0.0 0.0016129032 0.006451613 0.0 0.0 0.0016129032 0.0032258064 0.017741935 0.0 0.019354839 0.024193548 0.012903226 0.009677419 0.017741935 0.0032258064 0.009677419 0.0032258064 0.0032258064 0.016129032 0.009677419 0.009677419 0.011290323 0.006451613 0.008064516 0.006451613 0.009677419 0.014516129 0.008064516 0.0048387097 0.009677419 0.0016129032 0.0 0.0 0.012903226 0.0 0.012903226 0.012903226 0.012903226 0.0016129032 0.03387097 0.008064516 0.019354839 0.043548387 0.08709677 0.009677419 0.008064516 0.012903226 0.037096772 0.0016129032 0.006451613 0.043548387 0.016129032 0.038709678 0.05645161 0.019354839 0.0032258064 0.03548387 0.022580646 0.05967742 0.019354839 0.0016129032 0.0032258064 0.014516129 0.009677419 0.0032258064 0.0 0.0016129032 0.0 0.0 0.0 5.521157 0.0 0.0 0.0 4.0 13854.0 167936.0 1.0 0.0 17.0 0.0 0.0 0.0 0.0 0.0 786906940.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 13.0 0.0 5.0 1.0 4.0 0.0 8192.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 0.0 65536.0 0.0 0.0 0.0 -4096.0 0.0 0.0 40960.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 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 5.133604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5019565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64172.0 0.0 0.0 0.0 -316.0 0.0 0.0 39009.0 0.0 0.0 0.0 0.0 0.0 1666.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22652.0 0.0 0.0 0.0 0.0 0.0 0.0 -7110.0 0.0 896.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 13056.0 896.0 159744.0 0.0 0.0 0.0 0.0 316.0 163840.0 56.0 12432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.15673992 0.008140205 0.00466325 0.005046665 0.005351431 0.0038734796 0.0026527764 0.0040373323 0.0071751126 0.003201683 0.003222984 0.0029853974 0.0033589818 0.0026757156 0.0019891725 0.005949494 0.0033655358 0.0029477114 0.0025757656 0.0019858954 0.0040094773 0.002123532 0.0023611183 0.0022939388 0.003285248 0.0023758651 0.0024987548 0.0028428456 0.0022595297 0.002282469 0.0042847497 0.0027052092 0.0029165794 0.00165819 0.0017859952 0.0026183673 0.0033819212 0.0028559538 0.00224806 0.002238229 0.0044797347 0.0020268587 0.002071099 0.0022185664 0.0023856964 0.0022923003 0.0033819212 0.0019793415 0.0058741216 0.0023856964 0.0022365903 0.0021776033 0.0028838087 0.0024184668 0.0021956272 0.0020088349 0.0023201553 0.0018285969 0.0019121618 0.002279192 0.0026593304 0.0023824193 0.0019138004 0.00213664 0.01009333 0.003667025 0.00219235 0.0024151898 0.0030574927 0.01711606 0.0026691617 0.002719956 0.0038833106 0.0059232777 0.0016385277 0.0023463715 0.0020448826 0.005636535 0.0023643954 0.002511863 0.0093510775 0.0033294882 0.0022628068 0.0027183173 0.002657692 0.0024479604 0.0028182676 0.0027445338 0.0033737286 0.0024282981 0.0022939388 0.0031066486 0.002456153 0.0021743262 0.0022218435 0.0035080877 0.0020596292 0.0026937395 0.0025135016 0.002421744 0.0038800335 0.004155306 0.0043027736 0.0024987548 0.007240654 0.003157443 0.0049270527 0.0027396183 0.0031000944 0.003281971 0.0025315252 0.0032311766 0.0029722892 0.001859729 0.0025200555 0.0024823695 0.0034949796 0.0067490954 0.002546272 0.0027723887 0.003263947 0.0021874344 0.0016401662 0.0018072961 0.0026937395 0.0033671744 0.0018204043 0.0025315252 0.0055660787 0.0022709994 0.0030411074 0.0070194528 0.0020481597 0.0071243183 0.0020530752 0.0017974649 0.0023529257 0.0075994916 0.003857094 0.012226693 0.0025233326 0.010055644 0.00203669 0.002074376 0.003077155 0.0024479604 0.0027461725 0.0019514865 0.0019596792 0.0020874843 0.0025135016 0.0022136508 0.001772887 0.002123532 0.0021726878 0.001804019 0.0024184668 0.001928547 0.002015389 0.002167772 0.0025872353 0.0023267092 0.0034474623 0.0020858457 0.00262656 0.0050450265 0.0019695102 0.002046521 0.0024168284 0.00262656 0.0019121618 0.0020104735 0.0029542653 0.0024020816 0.002043244 0.0021218935 0.0021481097 0.0022054582 0.0019334627 0.0019400168 0.0031934904 0.0038341547 0.0026757156 0.00293788 0.0027756658 0.0020727376 0.0025823195 0.0019678718 0.0029509882 0.0022808306 0.0022447829 0.0038210466 0.003993092 0.0019105233 0.0025823195 0.0030935402 0.0038489015 0.0020350514 0.0021874344 0.006123178 0.0029100252 0.0023578412 0.0018466207 0.002207097 0.0026855469 0.0018957765 0.0016778524 0.0020235816 0.0031345035 0.0020039193 0.0022120124 0.0022562526 0.0031689126 0.0017384778 0.0023840577 0.0022152895 0.0031836594 0.00219235 0.0028608693 0.0034605705 0.0032721397 0.002167772 0.0021137006 0.0020399669 0.003629339 0.002605259 0.0034425466 0.0020858457 0.0030509385 0.0017991035 0.0019777028 0.0018285969 0.0131901475 0.0025626572 0.0023873348 0.004042248 0.0035162803 0.0023480102 0.002064545 0.0019465709 0.0043027736 0.0028166291 0.0019793415 0.0018957765 0.0028199062 0.0017696099 0.0020350514 0.0054284423 0.007356989 0.0046878275 0.0016975147 0.003067324 0.004309328 0.0017286467 0.0038521786 0.057728607 0.010084034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015001313 8.2064076e-07 0.0 2.4619223e-06 2.6260504e-05 3.4466913e-05 6.975447e-05 3.9390758e-05 0.0 0.0 1.6412815e-06 8.2064076e-07 8.2064076e-07 8.2064076e-07 1.6412815e-06 1.6412815e-06 0.0015247505 1.6412816e-05 1.7233457e-05 6.565126e-06 1.6412816e-05 9.847689e-06 2.4619223e-05 1.1488971e-05 1.6412815e-06 1.3130252e-05 8.2064076e-07 1.066833e-05 5.7444854e-06 5.7444854e-06 4.103204e-06 1.1488971e-05 0.0069754464 3.6108195e-05 0.00022813813 6.400998e-05 0.000612198 9.027049e-06 8.206408e-06 1.3130252e-05 7.221639e-05 9.273241e-05 0.000113248425 3.4466913e-05 2.4619223e-05 8.206408e-06 9.027049e-06 0.000102580096 0.009179687 0.00010832458 0.00033153887 0.00014115022 0.00095358456 0.00012966125 0.00019613314 5.498293e-05 0.00011160714 6.483062e-05 8.370536e-05 7.303703e-05 8.04228e-05 3.8570117e-05 8.8629204e-05 0.0001288406 0.016055837 0.0003216912 0.0007229845 0.000221573 0.0021976759 0.00020433955 0.00029625132 0.00026178441 0.00016412816 0.00014525342 0.00016330752 9.191177e-05 0.00022239365 9.355305e-05 0.0002995339 0.0003865218 0.009189535 0.0002174698 0.00040539654 0.00016412816 0.0011095064 0.00015674239 0.0001994157 9.601497e-05 0.00029461004 0.00013048189 0.00015181855 0.00013950893 0.00023306198 7.057511e-05 0.00019695378 0.00069015886 0.016746815 0.0005736279 0.00055639446 0.00070903363 0.0015559349 0.00059496454 0.0011201747 0.0008526457 0.0008698792 0.0003216912 0.0002396271 0.0008370536 0.0006540507 0.00011571035 0.0004447873 0.0057403822 0.012834822 0.00060481223 0.00051207986 0.0008526457 0.002227219 0.0009601497 0.0011694131 0.0008460806 0.0006343553 0.00033646272 0.00027081146 0.00043411896 0.0004612001 0.0001953125 0.0002937894 0.002576812 0.018418461 0.0011111476 0.0010545234 0.001532957 0.001889115 0.0016741072 0.0028180804 0.0022936908 0.0013852416 0.00081653753 0.0004948464 0.0012194721 0.0007328322 0.0003643645 0.00044560793 0.005765822 0.010918626 0.00089285715 0.0010151326 0.0017003677 0.0021935727 0.0012555803 0.0024578192 0.0013286173 0.00090188417 0.0005087973 0.00033071823 0.00034713105 0.0004570969 0.00025603993 0.0003463104 0.0019802062 0.0118082 0.0016642595 0.001034828 0.0015288538 0.002046678 0.0011070444 0.002179622 0.001308922 0.003198037 0.001194853 0.0007566308 0.0011620274 0.00097327994 0.000632714 0.0008633141 0.0055155265 0.031554457 0.0038931197 0.0033276982 0.0037733063 0.0143333115 0.008265493 0.008546153 0.0049952404 0.021447446 0.0030782234 0.0045652245 0.004308364 0.0067604384 0.004566866 0.011161535 0.03349035 0.026248194 0.004323956 0.0029198397 0.0033203126 0.014380088 0.007237231 0.007563025 0.0058601955 0.01649652 0.0030002627 0.004977186 0.00398339 0.006661141 0.0053193932 0.010929294 0.021317786 0.03687139 0.030490907 0.028463924 0.025655692 0.026839877 0.02832852 0.028153723 0.026810333 0.028191471 0.025743501 0.028540244 0.028981749 0.02617844 0.028798746 0.027476694 0.029936975 2528.0 8.297468 20976.0 0.008247521 0.003146453 0.0035278413 0.0039569032 0.005816171 0.0046720062 0.009868421 0.0056254766 0.009200992 0.009868421 0.013872998 0.0044336384 0.0048150267 0.0040045767 0.0046243328 0.002860412 0.037090007 0.018115941 0.009630053 0.005482456 0.0061022122 0.0069603357 0.007008009 0.007341724 0.0064836005 0.006006865 0.005577803 0.0040999237 0.003146453 0.0027173914 0.0033371472 0.0018592677 0.00877193 0.0079138065 0.0058638444 0.013920671 0.03337147 0.009773074 0.011155606 0.008342868 0.008819603 0.012156751 0.0053871092 0.0063405796 0.008867277 0.010154462 0.0073893974 0.010154462 0.0070556826 0.011155606 0.010011442 0.01701945 0.011250953 0.0097254 0.011632342 0.0097254 0.0065789474 0.010488177 0.0063405796 0.0071987035 0.0033371472 0.0035755148 0.0030034324 0.035135392 0.0028127383 0.031798247 0.024742562 0.016161326 0.013920671 0.030940123 0.010917239 0.014397407 0.016352022 0.01916476 0.011536995 0.0074847443 0.021119375 0.019260107 0.012490465 0.016971778 0.010106789 0.0038138826 0.019736841 0.012776506 0.02469489 0.012871854 0.019832188 0.015064836 0.009677727 0.01053585 0.0047196797 0.0038138826 0.0030034324 0.0073893974 0.006006865 0.004767353 6.2742343 2.0 0.0 0.0 2.0 610304.0 671744.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1540255400.0 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 5.0 4.0 6.0 0.0 4.0 0.0 4.0 0.0 598016.0 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 -598016.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1471095 0.0 3.5385883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -64692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -597256.0 0.0 2022.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 597764.0 2022.0 667648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 896.0 4096.0 0.0 0.0 0.0 0.0