Input: 0.17107567 0.013979743 0.005903154 0.004308738 0.02009332 0.0025688608 0.0022539317 0.002279352 0.010570601 0.002273703 0.0022624051 0.001222998 0.007863341 0.0014207113 0.0011891043 0.014366696 0.0068437047 0.0011523861 0.0009716197 0.0011622718 0.0051250113 0.0021536627 0.00087699975 0.0008798242 0.0041307956 0.0007075312 0.0007117679 0.0005917277 0.005777465 0.00059455214 0.0006637518 0.0010139868 0.014595479 0.0009052445 0.0010747131 0.00043496926 0.048078228 0.0018980477 0.0021353038 0.0019361782 0.003656284 0.0022200379 0.0005437116 0.0011439127 0.003580023 0.0015718208 0.0013684585 0.00089959556 0.0038596462 0.005147607 0.0014094134 0.0015365148 0.003556015 0.0011467371 0.000967383 0.0011566228 0.003051846 0.0045798873 0.00189946 0.0018175502 0.004041825 0.0022595807 0.0012639529 0.0012964344 0.004091253 0.0014644907 0.0016650285 0.0055416217 0.019138647 0.0068705375 0.0024996612 0.0019192313 0.0024078656 0.0014094134 0.00080638786 0.0009010078 0.004517749 0.002025149 0.0014207113 0.0008205102 0.0032312004 0.00058607874 0.0009236036 0.0038314015 0.00569838 0.004523398 0.002362674 0.0021748464 0.0018429705 0.0004476794 0.00056489516 0.00309845 0.0038977766 0.0034458605 0.0026733663 0.0029826465 0.0011778064 0.0043200357 0.0013557484 0.00241069 0.0038568217 0.0076246723 0.0036463982 0.0013571606 0.0020392714 0.0047747763 0.009101873 0.00082615914 0.005555744 0.0021635485 0.0046815686 0.0044725575 0.0029289813 0.0004208469 0.004771952 0.004788899 0.016960977 0.008655606 0.0024036288 0.0020971734 0.0026846642 0.0013500995 0.00080921233 0.00094196264 0.0035108235 0.0018133135 0.0011509738 0.001115668 0.0043722885 0.0022059155 0.0006227969 0.017990498 0.0068832473 0.014332802 0.0011523861 0.0010055134 0.0016283103 0.043262497 0.00091513013 0.032122765 0.0010309337 0.011119961 0.0006482172 0.0005352382 0.0050656972 0.00032905143 0.0006425682 0.00071035564 0.0013091445 0.0009631462 0.0004476794 0.00048016087 0.00057336857 0.00032481473 0.00021748463 0.0002570273 0.00085864065 0.00032905143 0.00030080666 0.0003431738 0.00077390636 0.0010168112 0.0002386682 0.0004843976 0.00063550705 0.0014164746 0.00019912554 0.00029939442 0.00066657626 0.0002725619 0.00021466016 0.00046745074 0.0009829176 0.0002655007 0.0002273703 0.00030645562 0.0020279735 0.00027679862 0.00033328813 0.00045756507 0.0017172813 0.0004843976 0.002368323 0.001365634 0.0021847321 0.00089959556 0.0011283781 0.0011015455 0.0020293859 0.0006482172 0.00069482106 0.0009532606 0.010771139 0.0034204402 0.0020138512 0.0051984475 0.0036845286 0.0011862798 0.0022525194 0.012540673 0.0019248802 0.001739877 0.00081768574 0.0006383315 0.00092219136 0.000522528 0.0006284459 0.00056913187 0.0025674484 0.0012978467 0.0024022167 0.0012710141 0.001317618 0.0006227969 0.00080073887 0.00070329447 0.0025081346 0.00081768574 0.00088123645 0.001864154 0.00091230567 0.00082615914 0.0008953588 0.0014136501 0.0041548037 0.0022454583 0.0031196335 0.0005804298 0.0046222545 0.0017497628 0.0005479483 0.0006100868 0.01222998 0.005538797 0.0008459305 0.005223868 0.0031182212 0.0006552784 0.0006468049 0.00066233956 0.0020209125 0.000754135 0.0008162735 0.0011227292 0.00075554725 0.00059455214 0.0027566883 0.0014701396 0.0029303937 0.0017497628 0.002131067 0.0014235358 0.0016410204 0.0017243425 0.0037734997 0.04015557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024237148 3.396739e-05 8.138021e-05 1.6276043e-05 1.2030117e-05 1.2737772e-05 3.184443e-05 1.4860733e-05 1.2030117e-05 1.415308e-05 1.4860733e-05 1.7691349e-05 0.00013799252 2.122962e-05 2.5475543e-05 2.830616e-05 0.0011591372 2.9721466e-05 4.812047e-05 1.5568388e-05 1.6276043e-05 1.5568388e-05 6.085824e-05 3.2552085e-05 1.1322464e-05 3.53827e-06 2.830616e-06 4.953578e-06 4.953578e-06 6.368886e-06 5.661232e-06 3.184443e-05 0.0019948767 0.00030075293 0.00011676291 1.7691349e-05 2.4060235e-05 2.1937274e-05 0.00022291101 0.0001245471 3.53827e-06 2.1229619e-06 5.802763e-05 7.07654e-07 3.53827e-06 7.07654e-07 5.661232e-06 7.07654e-07 0.027988423 6.368886e-06 0.0055494225 0.0005427706 0.0007961107 0.0006715636 0.011795176 0.0060483185 1.3445426e-05 1.6276043e-05 2.122962e-05 2.0521966e-05 2.335258e-05 2.4767889e-05 4.0336276e-05 6.510417e-05 0.023177084 4.104393e-05 0.0059258942 0.0013792176 0.00282637 0.0019241112 0.011914062 0.005955616 4.599751e-05 1.5568388e-05 1.2030117e-05 1.4860733e-05 2.4767889e-05 6.6519475e-05 0.00022361866 7.642663e-05 0.0061346525 0.00040477808 0.0013940784 0.00061282836 0.0007918648 0.0007027004 0.0050222203 0.0024350374 0.000102609825 7.925725e-05 0.00031490604 7.4303665e-05 0.00015922215 0.00018823596 0.0002660779 0.00015780683 0.0055090864 0.00027952332 0.0022453861 0.0006857167 0.0017075691 0.0010515738 0.006544384 0.0032021343 0.00019318954 0.000102609825 0.00012030118 0.00017974411 0.0005180027 0.0004720052 0.00024060236 0.00013657722 0.008390653 0.0010197294 0.0024102696 0.009324756 0.0019934613 0.0014400758 0.0051481826 0.0024732507 0.00080814085 0.00070057745 0.0014754586 0.0008873981 0.0008159251 0.0011831975 0.001564623 0.0009440104 0.013799253 0.0014004472 0.0029707314 0.0011619679 0.0024668819 0.0014804121 0.0016764323 0.0017047385 0.0071855187 0.00057107676 0.00032622847 0.0008987206 0.0022078804 0.001135077 0.0020734263 0.0038687442 0.121481545 0.018862518 0.044128593 0.015684443 0.03156703 0.020934528 0.009470534 0.022229536 0.08832371 0.006656901 0.0036727241 0.010812953 0.027686255 0.011490177 0.025187528 0.04036175 0.051302083 0.010994112 0.021303924 0.00898579 0.015375198 0.014078776 0.0075372225 0.012255152 0.04339476 0.004971269 0.0024265456 0.0057518114 0.017301433 0.006517493 0.016975911 0.020248812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3021.0 12.686859 38327.0 0.06314087 0.0020873013 0.0014089284 0.0009131944 0.017950792 0.0070185508 0.0013045634 0.004592063 0.008479662 0.006209722 0.00078273803 0.0020090276 0.007488194 0.016594047 0.010619146 0.0029483133 0.010593055 0.0059749 0.009158035 0.010932241 0.0075403764 0.0061836303 0.005009523 0.00740992 0.007853472 0.011714979 0.013776189 0.007149007 0.010253868 0.0063401777 0.0041485117 0.0042789676 0.0019046625 0.0070968247 0.002843948 0.015393848 0.010045138 0.0096276775 0.0044616065 0.0110887885 0.0033657735 0.008949305 0.0011219245 0.0017220236 0.010227777 0.0045398804 0.0125498995 0.0048268843 0.0068880944 0.0013045634 0.0059749 0.009392857 0.01090615 0.0096276775 0.0023743054 0.0026874004 0.0037832337 0.0021394838 0.0020351189 0.009027579 0.00391369 0.009027579 0.009027579 0.017141962 0.0012784721 0.03290109 0.008401388 0.017611606 0.020768648 0.061444934 0.012132439 0.008427479 0.00782738 0.03438829 0.0015915673 0.0036527775 0.029770136 0.018550891 0.03809325 0.029326584 0.01421974 0.0018263888 0.03378819 0.025699899 0.049912594 0.015498213 0.005270436 0.00740992 0.008897122 0.0068620034 0.0018263888 0.0007305555 0.0027395831 0.00060009916 0.0009653769 0.0007044642 5.916333 0.0 8.0 0.0 9.0 708096.0 868352.0 0.0 71.0 225.0 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 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 29.0 4.0 0.0 4.0 0.0 564736.0 1024.0 4096.0 9.0 1.0 0.0 1.0 5.0 0.0 0.0 -512.0 0.0 0.0 -13824.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 117248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2560.0 0.0 0.0 -564736.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2660353 0.0 0.0 -6.7206297 0.0 0.0 -1.8252748 0.0 0.0 0.0 0.0 0.0 4.698985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.592171 0.0 0.0 0.0 0.0 0.0 5.1742086 0.0 0.0 -6.370382 -5.5253735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -13700.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 116976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 135936.0 0.0 0.0 -828.0 0.0 0.0 0.0 0.0 0.0 2489.0 0.0 0.0 -564628.0 -6364.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 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 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 -2.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2489.0 831488.0 6364.0 835584.0 0.0 0.0 0.0 0.0 0.0 0.0 13700.0 851968.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 847876.0 0.0 0.0 0.0 0.0 920.0 836624.0 0.0 0.0 0.0 0.0


Input: 0.33837092 0.013964961 0.008276279 0.0069975834 0.014518728 0.0041884817 0.0064941603 0.001731776 0.008588401 0.0014397906 0.004540878 0.0026077325 0.005990737 0.0019935563 0.001731776 0.0034232782 0.006574708 0.0010269835 0.0018123238 0.00088602497 0.0041381395 0.0022654047 0.0009061619 0.0004732179 0.0030809504 0.000432944 0.0005235602 0.0006343133 0.0021546516 0.0012484897 0.001449859 0.00045308095 0.01562626 0.000432944 0.000734998 0.00065445027 0.02204994 0.0022351993 0.00040273863 0.00042287554 0.0022654047 0.0006141764 0.0011478051 0.0025674587 0.0010672574 0.0008759565 0.0011478051 0.00030205396 0.001600886 0.0004933548 0.00045308095 0.0040676603 0.0012283528 0.00065445027 0.00051349174 0.00039267016 0.0012082158 0.0014800645 0.0013391059 0.0015908176 0.0028393073 0.0017015707 0.0005537656 0.00059403945 0.0108336685 0.014015304 0.0014095851 0.0017921869 0.011790173 0.0029299236 0.0046012886 0.0014397906 0.002507048 0.003503826 0.00074506644 0.0010873943 0.0031715666 0.00095650426 0.001449859 0.0010773258 0.00964559 0.0015404752 0.0020438985 0.005064438 0.0027184857 0.0021143777 0.007410391 0.004258961 0.0008256142 0.0010269835 0.00028191705 0.0028393073 0.0011981474 0.0019331453 0.005406766 0.004893274 0.0005537656 0.0050543696 0.0011478051 0.003503826 0.005386629 0.011790173 0.017478855 0.0011075313 0.004822795 0.006202175 0.003765606 0.0012585582 0.004883206 0.0021043094 0.00682642 0.007209021 0.0025775272 0.00033225937 0.0070982683 0.005497382 0.014166331 0.008205799 0.0019432139 0.0012082158 0.0009363673 0.0011880789 0.000432944 0.00010068466 0.002617801 0.00057390257 0.00069472415 0.00034232784 0.0027587595 0.002013693 0.00017116392 0.012565445 0.0014599275 0.0034232782 0.0006041079 0.00023157471 0.0021345147 0.005517519 0.0038360853 0.023942811 0.00062424486 0.009595248 0.00018123238 0.00057390257 0.011800242 0.00012082158 7.047926e-05 0.00037253322 0.00071486103 0.0002617801 0.00030205396 0.00062424486 0.0009967781 0.00012082158 0.00018123238 0.0005235602 0.00048328633 0.00014095852 9.061619e-05 6.041079e-05 0.00074506644 0.0009061619 0.00024164317 0.0009464358 0.002748691 0.0010068465 0.00022150624 0.00012082158 0.00048328633 0.00013089005 0.00022150624 0.00021143777 0.0005235602 0.00011075312 0.0022956103 0.00012082158 0.0007551349 8.0547725e-05 0.00013089005 0.00017116392 0.0004128071 0.00022150624 0.0003221909 0.00013089005 0.002356021 0.000432944 0.00017116392 0.0002919855 0.0005638341 0.00040273863 0.000865888 0.0009967781 0.008376963 0.0031010874 0.0053564236 0.0033427305 0.0056081354 0.00020136932 0.004732179 0.0037152637 0.0014196537 0.0030104711 0.0006443818 0.00039267016 0.0006745872 0.000432944 0.00024164317 0.00021143777 0.0008256142 0.0024265002 0.00059403945 0.0002919855 0.0003826017 0.0006141764 0.0004732179 0.0005034233 0.0008256142 0.00016109545 0.00011075312 0.0009061619 0.00039267016 0.0004732179 0.00021143777 0.00028191705 0.0009867096 0.0015102698 0.00044301248 0.00044301248 0.00027184858 0.00020136932 0.00025171164 0.00031212243 0.0115888035 0.0014901329 0.00022150624 0.0018022553 0.0011276682 0.00035239628 0.00022150624 0.00025171164 0.0024063634 0.0013793798 0.002446637 0.0019230769 0.0002919855 0.00017116392 0.0013592428 0.0032521144 0.0019230769 0.0017821185 0.0011880789 0.0011880789 0.0012283528 0.0016512284 0.0017418446 0.024113975 0.15777652 0.0 0.0 0.0 5.139803e-06 0.0 0.0 1.5419408e-05 0.0 0.0 5.139803e-06 5.139803e-06 0.0 5.139803e-06 0.0 8.2236846e-05 0.009601152 0.0 0.0 0.0 0.0009251645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009529194 1.5419408e-05 5.139803e-06 1.5419408e-05 0.00090974505 0.0 0.0 0.0 5.139803e-06 0.0 5.139803e-06 1.0279606e-05 5.139803e-06 5.139803e-06 1.5419408e-05 5.139803e-06 0.018873354 0.00013877467 0.00016961349 9.765625e-05 0.0005191201 0.00016447369 0.00029296876 0.0001850329 0.00024671052 2.0559211e-05 1.5419408e-05 7.709704e-05 3.5978617e-05 4.6258225e-05 5.1398027e-05 0.00011821546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0077199833 0.00022101152 0.0003495066 2.0559211e-05 0.0006167763 0.00022101152 0.0006476151 0.00035464638 1.5419408e-05 1.5419408e-05 1.5419408e-05 1.5419408e-05 1.0279606e-05 4.1118423e-05 3.5978617e-05 0.00022615131 0.014890009 3.5978617e-05 0.0066766036 0.0005088405 0.003824013 0.0022820723 0.023612253 0.010999178 4.6258225e-05 3.0838815e-05 3.5978617e-05 4.6258225e-05 2.0559211e-05 6.681743e-05 2.5699013e-05 5.653783e-05 0.014211554 0.00025699014 0.002240954 0.00053453946 0.0025236432 0.00062191614 0.0060341284 0.0027138158 0.00027754935 0.0002107319 0.00025699014 0.0001747533 0.00029296876 0.00024157073 0.0001953125 0.0007915296 0.02757504 0.00050370063 0.0059004934 0.00234375 0.0059981495 0.0031661184 0.015984787 0.0069130347 0.0007349918 0.0005756579 0.00045230263 0.00031866776 0.0005962171 0.00022615131 0.00046258225 0.0019325658 0.011364103 0.0005499589 0.0025647616 0.00046258225 0.0027549341 0.0016807155 0.006373355 0.0033357318 0.0005139803 0.00012335526 0.0001901727 0.00012335526 0.0003752056 0.00012849507 0.0002055921 0.000832648 0.0035002057 0.00011307566 0.00012335526 0.00023643092 0.00070929277 0.00067331415 0.0026367188 0.0013569079 0.00014905428 6.681743e-05 8.2236846e-05 7.709704e-05 5.653783e-05 8.2236846e-05 5.1398027e-05 0.0006116365 0.0065224096 0.00085834705 0.0016190378 0.00076583057 0.0025339227 0.0010382402 0.002631579 0.0014905428 0.00085834705 0.0006424753 0.00032894738 0.00026726973 0.0006424753 0.00022101152 0.00033408718 0.00029810856 0.07078536 0.01172903 0.01929996 0.006563528 0.022481497 0.023828125 0.017130962 0.010834704 0.031260278 0.0030530428 0.0032997532 0.003155839 0.01874486 0.00260588 0.010197368 0.018714022 0.061543997 0.014155016 0.014612459 0.009590872 0.020754524 0.020615749 0.009256785 0.010629112 0.03674445 0.012464021 0.0065738074 0.00416838 0.021540914 0.0059724506 0.010310444 0.02527755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 566.0 21.482332 12159.0 0.114812076 0.0002467308 0.00065794884 0.0007401924 0.0075664115 0.0018916029 0.00016448721 0.00082243606 0.002302821 0.0019738465 0.00082243606 0.0007401924 0.0024673082 0.0033719877 0.006415001 0.0009869232 0.0016448721 0.0013158977 0.0013981413 0.0013981413 0.00057570526 0.00032897442 0.0004934616 0.00041121803 0.0012336541 0.0016448721 0.0050991033 0.00057570526 0.00065794884 0.0012336541 0.00041121803 0.00090467965 0.0036187186 0.00912904 0.0021383339 0.008882309 0.009293527 0.013570195 0.0057570525 0.0032897443 0.0018916029 0.010609425 0.00032897442 0.00082243606 0.00797763 0.0027962825 0.0067439754 0.004194424 0.009293527 0.00082243606 0.0063327574 0.016613208 0.008717822 0.0055103214 0.006497245 0.008224361 0.0034542314 0.0022205773 0.0009869232 0.0007401924 0.00065794884 0.00041121803 0.00057570526 0.012665515 0.00041121803 0.039394688 0.006908463 0.026317954 0.030183403 0.09244181 0.02146558 0.0071551935 0.0141459005 0.048112508 0.00090467965 0.008553335 0.033637635 0.015544041 0.053129368 0.054691996 0.015215067 0.0011514105 0.04992187 0.04194424 0.05543219 0.016366478 0.009211284 0.006003783 0.0023850645 0.0074019246 0.0013158977 0.0 0.0004934616 8.2243605e-05 0.0 0.0 5.159234 0.0 0.0 0.0 1.0 99320.0 122880.0 0.0 0.0 102.0 0.0 0.0 0.0 0.0 0.0 999040060.0 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 57344.0 4096.0 4096.0 3.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7061896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.282808 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.471168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4054.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -56752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -56496.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 63564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.13695212 0.0051161824 0.0023444681 0.0027322208 0.0032276828 0.003148696 0.002534754 0.0018238741 0.0030014936 0.0009622013 0.2175652 0.0015869141 0.0031271542 0.0017089844 0.0015474207 0.0017664293 0.0020177504 0.00029440486 0.00029081455 0.00024414062 0.0010160558 0.0017448874 0.0003518497 0.0003087661 0.0007719152 0.00025491155 0.00024414062 0.00025491155 0.000639074 0.00028722428 0.00016874426 0.0002118279 0.005539838 0.00017951516 0.00016515395 0.00025132124 0.0018597771 0.0010411879 0.0004308364 0.00044160732 0.00039493336 0.00019746668 0.023394417 0.0005529067 0.00035544002 0.00029081455 0.001396628 0.00014720243 0.0012063419 0.00024055032 0.00057444855 0.001159668 0.00029799517 0.001030417 0.00018669578 0.00014361214 0.0003518497 0.00049905217 0.00014720243 0.00082576973 0.00036980124 0.00041288487 0.00020105699 0.00015438304 0.005281336 0.00426169 0.00041647517 0.00068215764 0.010085162 0.0025132124 0.0007826861 0.00047751033 0.00072165095 0.00069651887 0.00018310547 0.0002046473 0.0022008559 0.0010842716 0.0037769992 0.0004272461 0.0033066694 0.00038416244 0.00060676126 0.0027214498 0.0006498449 0.0011094037 0.0022583008 0.0018059226 0.00040211398 0.0015115177 6.1035156e-05 0.0006175322 0.0010519589 0.0005421358 0.0008509019 0.0007683249 0.00095502066 0.0019315832 0.00034466913 0.0014504825 0.0011273553 0.0050946404 0.0014720244 0.0005852194 0.0036585191 0.0025239831 0.0021110983 0.00034466913 0.0023444681 0.0010232364 0.0026532342 0.0035328586 0.0012350644 8.616728e-05 0.003159467 0.0050012926 0.0061250576 0.0047499714 0.00061394187 0.0011488971 0.00071088003 0.0007036994 9.334789e-05 6.1035156e-05 0.00042006548 0.0005026425 0.00020823759 0.000118480006 0.0027896657 0.0005026425 0.00049905217 0.0032025506 0.000994514 0.0025778378 0.00015797335 0.00014002183 0.00091193704 0.0016694911 0.0005529067 0.0041108974 0.00017592486 0.0024485867 0.00017233456 0.00018669578 0.00057444855 5.0264247e-05 0.00426169 0.0001112994 0.00029440486 0.000118480006 6.821576e-05 0.002969181 0.00015079274 2.8722427e-05 3.5903035e-05 2.154182e-05 0.0003231273 6.462546e-05 5.385455e-05 4.308364e-05 0.00059958064 0.00038775275 8.616728e-05 0.0003159467 0.00016515395 0.00018669578 3.5903035e-05 2.5132123e-05 0.0002261891 5.385455e-05 4.308364e-05 7.8986675e-05 0.00013284122 4.308364e-05 7.539637e-05 6.1035156e-05 0.00015079274 3.5903035e-05 6.1035156e-05 6.462546e-05 0.00028722428 0.00010411879 0.0018095128 0.0009406595 0.00034466913 0.00016156364 0.00017951516 0.0014289407 0.00013643152 0.00012925093 0.00034107882 0.0003303079 0.0026675954 0.0006211225 0.00026209213 0.0013858571 0.001561782 9.334789e-05 0.00040211398 0.00090834673 0.00048469094 0.000556497 0.00014361214 7.180607e-05 0.00923426 6.821576e-05 0.00014361214 0.00013284122 0.0010842716 0.0009729722 0.0003267176 0.0002046473 0.00022977941 0.0003087661 0.00056726794 0.00040570428 0.00052059395 0.00018669578 0.00027286305 0.0060281195 0.0003267176 0.00014720243 0.00019028608 0.0004523782 0.00052777457 0.0001077091 0.000100528494 6.821576e-05 0.00025491155 3.5903035e-05 0.00015079274 5.7444853e-05 0.0036046645 0.0005924 0.00018669578 0.001195571 0.00095143035 9.693819e-05 8.616728e-05 8.975758e-05 0.0007324219 0.00028004366 0.00014720243 0.00027286305 0.00057803886 0.00016515395 0.0006498449 0.00068574795 0.012023926 0.0013822668 0.0002261891 0.00028004366 0.0013320026 0.0004487879 0.0010663201 0.3501515 0.026089715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.648524e-05 0.0 8.648524e-05 0.0 2.8828414e-05 0.0 0.03274908 0.02797437 0.0 7.2071034e-06 0.0 2.162131e-05 5.4053276e-06 0.0 9.1890564e-05 0.0 0.00018378113 0.0 0.000100899444 0.0 1.0810655e-05 0.0 0.004814345 0.01015661 0.0 3.6035517e-06 1.8017759e-06 0.00012432253 3.6035515e-05 0.00017297048 0.00013152964 0.0 0.00043062444 3.6035517e-06 5.7656827e-05 0.0 0.00030089656 0.0 0.010720566 0.03397789 8.8287015e-05 0.00019999711 1.6215983e-05 0.00017477226 5.0449722e-05 0.00039819247 0.00040720133 9.008879e-05 0.00021981665 3.7837293e-05 0.00019999711 3.7837293e-05 0.00020720423 2.7026637e-05 0.00814763 0.14253308 7.387281e-05 0.0062827924 5.4053276e-06 0.000940527 6.846748e-05 0.000100899444 0.0011513347 4.324262e-05 0.002812572 3.2431966e-05 0.0015765538 4.1440842e-05 0.0025693323 1.26124305e-05 0.20706908 0.022673547 3.6035517e-06 0.014407 5.94586e-05 0.001744119 0.0001639616 0.0003279232 0.0011801631 1.8017759e-06 0.0009855714 0.0 0.0007747636 5.4053276e-06 0.002041412 7.2071034e-06 0.06263513 0.015143926 0.00064503576 0.0010198051 1.8017758e-05 0.0047837147 5.22515e-05 0.00013333141 0.00040720133 0.0001639616 0.00029549125 4.324262e-05 0.00048828125 0.0044810167 0.00058557716 1.4414207e-05 0.012315138 0.01764299 0.00065944996 0.0017351101 0.0002450415 0.0036594067 0.00028648236 0.0035116612 0.0020720423 0.00018197935 0.000682873 0.000106304775 2.7026637e-05 0.0035657145 0.0002234202 4.324262e-05 0.002257625 0.03167522 0.00045584928 0.0048575876 0.00044864218 0.0018270006 0.0014900686 0.009151219 0.0049404693 0.00091530214 6.666571e-05 0.00010810655 0.00048647946 0.00061440555 0.00045945283 0.00018378113 0.0050503775 0.01276378 0.00045044397 0.0010089944 0.00038197648 0.002933291 0.0015315094 0.0051422683 0.0030648208 0.00067026063 0.00069008017 0.00012972786 8.2881685e-05 0.0012432253 8.8287015e-05 0.00010810655 0.0029206786 0.0058683837 5.4053275e-05 0.00049548835 0.0002684646 0.0024612257 0.00072611566 0.0033008533 0.0020161872 0.0006396304 0.00069548545 0.00013873674 8.648524e-05 0.00018017758 8.107991e-05 3.423374e-05 0.0014035833 0.004126067 9.3692346e-05 0.0008288169 0.00042161555 0.0011098939 0.0006198109 0.0026486104 0.0014017816 0.00033152674 0.00036035516 0.00016936693 0.00012252075 0.00018017758 0.0007603494 0.00013333141 0.0014522313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019246569 0.003255809 0.0025819447 0.0025423057 0.006807109 0.006117029 0.0021206902 0.004455792 0.011125966 0.00078917784 0.0007279174 0.0012720537 0.0044395756 0.0020306013 0.0038035489 0.009864722 0.01741236 0.003279232 0.0033062587 0.0034161669 0.0073098047 0.0075584496 0.0041927323 0.0036341818 0.0070035025 0.0008810684 0.0010252105 0.0011585419 0.004005348 0.0028648237 0.0037585043 0.010374625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1038.0 13.641619 14160.0 0.012570621 0.0002118644 0.0002118644 7.062147e-05 0.0016242937 0.001200565 0.0008474576 0.0 0.00056497176 0.00028248588 0.40579095 0.00035310735 0.0006355932 0.001977401 0.006779661 0.00056497176 0.0062853107 0.0014830509 0.002259887 0.0014830509 0.0013418079 0.0014124294 0.0014124294 0.0012711864 0.0013418079 0.0020480226 0.00014124294 0.0007768362 0.0004943503 0.0008474576 7.062147e-05 0.00014124294 0.0007768362 0.009816384 0.0033898305 0.007838983 0.016101696 0.011440678 0.0048728813 0.0028954803 0.0036723164 0.0060734465 7.062147e-05 0.0007768362 0.0038841807 0.0054378533 0.037358757 0.0030367232 0.0060028248 0.001059322 0.005720339 0.01680791 0.0054378533 0.004096045 0.0048728813 0.0052259886 0.0008474576 0.001059322 7.062147e-05 0.0009887005 0.010169491 0.00056497176 0.0004943503 0.00240113 0.0007768362 0.016666668 0.003460452 0.010805084 0.008050848 0.049223162 0.016031073 0.0048728813 0.0060028248 0.02309322 0.0014124294 0.0017655367 0.021186441 0.007980226 0.024223164 0.02888418 0.0088276835 7.062147e-05 0.026765537 0.021327684 0.031850282 0.01680791 0.0043079094 0.012429379 0.006779661 0.005720339 0.00028248588 0.00014124294 0.0 0.0002118644 0.00014124294 0.00014124294 4.2182956 3.0 0.0 0.0 1.0 278528.0 339968.0 0.0 0.0 126.0 0.0 1.0 0.0 0.0 0.0 970595140.0 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 49152.0 4096.0 4096.0 4.0 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 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4458055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6529484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4896517 0.0 2.725207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45798.0 0.0 247516.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 54768.0 206552.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 524.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.18886848 0.009534334 0.0037199322 0.0042531868 0.0051141037 0.002447831 0.002550627 0.002030222 0.005467465 0.0025056538 0.0021073192 0.0017282587 0.0049470603 0.0020109478 0.0019017269 0.0023514598 0.0035464638 0.0024799549 0.0017860815 0.002190841 0.0027497944 0.0050948295 0.0017539576 0.0018310547 0.0021779914 0.0022036904 0.0017539576 0.0017411081 0.0026983963 0.0015869141 0.001927426 0.002158717 0.0068359375 0.0024028576 0.0017539576 0.0017668072 0.0019916736 0.004940635 0.0017154091 0.0018182052 0.0027819183 0.0020687706 0.0019723992 0.002158717 0.0024799549 0.004060444 0.0019467003 0.0015033922 0.0036107113 0.0017218338 0.002499229 0.0022165398 0.0016832853 0.0017411081 0.001484118 0.0016511616 0.0026791221 0.0016383121 0.0017154091 0.0020109478 0.0019081518 0.0015419408 0.001509817 0.0017218338 0.012804533 0.008352179 0.0021394428 0.0024735301 0.0061035156 0.010260331 0.002133018 0.0037392064 0.0022036904 0.0036942333 0.0015290913 0.0017860815 0.002113744 0.008320056 0.0034500926 0.0018310547 0.008834036 0.0055702613 0.0048057153 0.0022165398 0.0020109478 0.0049277856 0.0024799549 0.001850329 0.005024157 0.0016832853 0.0015676398 0.0017668072 0.0017411081 0.002788343 0.0014455694 0.0017925062 0.0029361122 0.00364926 0.0020494964 0.0026855469 0.0037520558 0.0062962584 0.0025442024 0.0017732319 0.008332905 0.0035785877 0.0055252877 0.0022229645 0.0035593132 0.002704821 0.0035271896 0.0040283203 0.0032445004 0.0016061884 0.00481214 0.0034822163 0.0050755553 0.00312243 0.0016061884 0.0020494964 0.0034051193 0.001953125 0.0016832853 0.0015740646 0.0018824528 0.0019145765 0.001509817 0.001561215 0.004227488 0.005756579 0.002788343 0.0057951272 0.002242239 0.005711606 0.0015869141 0.0015226665 0.0028718647 0.006328382 0.0018182052 0.022968493 0.0020109478 0.015387285 0.001407021 0.0015162418 0.0021779914 0.0023835835 0.0016897101 0.0017668072 0.0019402755 0.0041118423 0.0016061884 0.0014969675 0.0023578845 0.0017475329 0.0016575863 0.0015997635 0.0017603824 0.0014905428 0.0018117804 0.0017154091 0.0028525905 0.0018696032 0.0014455694 0.001509817 0.0025120785 0.0015933388 0.0014905428 0.0016640112 0.0020944695 0.0015483656 0.0015933388 0.0015869141 0.0020944695 0.0016447369 0.0017411081 0.0015869141 0.0023643093 0.0015740646 0.0015740646 0.0016126131 0.0017860815 0.0015997635 0.0015804893 0.0018053557 0.002788343 0.0015676398 0.0015290913 0.0015483656 0.0016447369 0.0017925062 0.0017860815 0.0014519943 0.0030003597 0.0050691306 0.0026726974 0.003925524 0.0045230263 0.0015869141 0.005159077 0.0035079152 0.0024414062 0.0018310547 0.0016768606 0.0016575863 0.0052040503 0.001535516 0.0015997635 0.0016126131 0.0030646073 0.0015804893 0.0017154091 0.0015033922 0.0019338507 0.002704821 0.0039383736 0.0020944695 0.0020623459 0.0014648438 0.0017282587 0.0016640112 0.0022807873 0.0015804893 0.002004523 0.0018374794 0.0031866776 0.0019723992 0.0022229645 0.004426655 0.0029618114 0.0034179688 0.0019659745 0.0017603824 0.012084961 0.00260845 0.0025956004 0.0032701995 0.006745991 0.0021458676 0.0023386101 0.0022743626 0.006032843 0.0027305202 0.0026791221 0.004484478 0.0026405735 0.0018567537 0.001850329 0.0019017269 0.004657946 0.0018888775 0.0020430714 0.002653423 0.010292455 0.002814042 0.011808696 0.055599816 0.01986755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005917581 4.850476e-05 6.467301e-05 1.9401905e-05 0.0050153923 0.001684732 0.00011641142 6.1439365e-05 7.760762e-05 7.4373966e-05 5.497206e-05 3.5570156e-05 2.2635555e-05 9.700952e-06 1.9401905e-05 2.2635555e-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 0.015321037 3.5570156e-05 0.000601459 0.00031366412 0.0004850476 0.0003071968 0.0014713111 0.00083428185 9.377587e-05 4.527111e-05 6.1439365e-05 5.820571e-05 4.850476e-05 0.000119645076 5.820571e-05 1.2934603e-05 0.009675083 0.0005658889 0.0004850476 0.00045917838 0.00020695364 0.0004850476 0.0003071968 0.00020371999 0.00046241205 5.173841e-05 4.850476e-05 7.114031e-05 3.5570156e-05 6.467301e-05 5.820571e-05 6.467301e-05 0.0044753724 2.5869205e-05 4.203746e-05 1.6168253e-05 0.00013904698 2.2635555e-05 2.5869205e-05 1.9401905e-05 0.0003071968 1.6168253e-05 2.5869205e-05 6.1439365e-05 0.0002813276 4.203746e-05 0.0002425238 0.000879553 0.029225735 0.00097332883 0.0010121326 0.00039127172 0.0022506209 0.0011253104 0.0018852183 0.0012740584 0.0016588628 0.0003589352 0.00021988824 0.00013581333 0.0007178704 0.00043007554 0.0009700952 0.0037283993 0.016656535 0.0015230494 0.0020954057 0.0006176273 0.0034826417 0.0009862635 0.006331488 0.0037575022 0.00062086096 0.00029749586 0.0001843181 0.00021988824 0.00016814984 0.0015327504 0.00029102855 0.0009700952 0.020087438 0.0016297599 0.006376759 0.0020210317 0.0047987374 0.0018755174 0.007760762 0.0045368117 0.00091512315 0.0003945054 0.00044947743 0.00046887936 0.0005141505 0.0023120602 0.00329509 0.002166546 0.012313741 0.0013904698 0.0013290304 0.001138245 0.0048019714 0.0020210317 0.002425238 0.0012417219 0.003877147 0.0008407492 0.0009571606 0.0010800393 0.002832678 0.0012320209 0.006153637 0.00934525 0.049588032 0.0057526645 0.0038933153 0.0024640418 0.011337179 0.0099822795 0.008420426 0.0025254812 0.032439984 0.004223148 0.0036637262 0.002489911 0.009481064 0.0024478736 0.013345276 0.04986613 0.033393912 0.0041067363 0.004355727 0.0024575745 0.013581333 0.008358987 0.0070428913 0.0026968645 0.021798039 0.0027421357 0.0019563586 0.0022603218 0.009147998 0.0030687344 0.008924875 0.026425393 0.003249819 0.00044947743 0.0012190863 0.0010412355 0.0020986393 0.0010768056 0.0026612945 0.0016329936 0.0012740584 0.0004462438 0.00039773903 0.00039773903 0.0016135917 0.00052061776 0.0005335524 0.0012546565 0.020760037 0.021380898 0.020937888 0.020582186 0.022687294 0.02205673 0.02099286 0.02190475 0.020892616 0.021956488 0.020944355 0.020876449 0.0224286 0.021587852 0.022438303 0.021943554 768.0 14.029948 10775.0 0.04547564 0.010951276 0.0031554524 0.0026914154 0.0018561485 0.010023202 0.0014849188 0.004547564 0.003062645 0.003062645 0.005661253 0.001299304 0.0020417634 0.030162413 0.006960557 0.001763341 0.010301624 0.0016705337 0.002598608 0.002598608 0.0016705337 0.0016705337 0.0012064965 0.00092807424 0.0036194895 0.0019489559 0.002412993 0.0025058005 0.00287703 0.0025058005 0.0020417634 0.0021345709 0.0023201855 0.04139211 0.0049187937 0.0094663575 0.056798145 0.007888631 0.004640371 0.031461716 0.003526682 0.031183295 0.0010208817 0.0020417634 0.004640371 0.004176334 0.028770301 0.0047331788 0.03526682 0.005011601 0.00612529 0.0073317867 0.0053828307 0.002227378 0.002227378 0.004640371 0.029791184 0.004176334 0.0021345709 0.001299304 0.001299304 0.0019489559 0.0019489559 0.004547564 0.001113689 0.02914153 0.005939675 0.016426913 0.015962876 0.061809745 0.010301624 0.007238979 0.017447796 0.024315545 0.0023201855 0.004083527 0.022645012 0.013642691 0.025893271 0.03563805 0.01837587 0.0015777262 0.04102088 0.025429234 0.036566127 0.01512761 0.0025058005 0.005011601 0.014477958 0.00575406 0.003062645 0.0007424594 0.0013921114 0.00092807424 0.0013921114 0.0014849188 5.681257 0.0 0.0 0.0 5.0 155648.0 155648.0 0.0 0.0 104.0 0.0 0.0 0.0 0.0 0.0 1396551400.0 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 57344.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9589562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1190906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.801567 0.0 7.64441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54969.0 0.0 67444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 69400.0 67444.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 952.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.23949978 0.021351056 0.02036003 0.0075219683 0.0071959384 0.0051349658 0.011958299 0.0067043067 0.0069514164 0.0036975895 0.015598963 0.004424687 0.0042176843 0.0021748242 0.0031451504 0.0017000114 0.003716996 0.0050262893 0.0039873933 0.0034582424 0.0052203545 0.0016042725 0.0034194293 0.0028385273 0.0017776375 0.0014748957 0.0015266464 0.0019613525 0.0013933884 0.002975667 0.0016974239 0.002974373 0.009251736 0.0011294596 0.0021657678 0.0024478093 0.0018630262 0.0021890558 0.0021010796 0.001551228 0.0045553576 0.0010673588 0.0031399755 0.0012976495 0.005308331 0.0015990975 0.010448472 0.0014464328 0.0069682356 0.002857934 0.0019225396 0.0036238446 0.0030830496 0.0034582424 0.0018177443 0.0035112868 0.002076498 0.002812652 0.001401151 0.0011799166 0.001406326 0.0041775773 0.0010828839 0.0010492459 0.001941946 0.0029277974 0.0016120351 0.005476521 0.005384663 0.0014723082 0.0020182785 0.0016857799 0.001987228 0.0033909664 0.00089140626 0.0021127234 0.0019484148 0.0033016964 0.0020739103 0.0021502427 0.0032745271 0.001372688 0.0020493288 0.00562401 0.0041542896 0.001172154 0.0025978866 0.0011760353 0.0009418632 0.0006442965 0.00088881876 0.0008577683 0.0008073113 0.0008422431 0.0010867653 0.004410456 0.0011022905 0.013733349 0.007523262 0.007060093 0.006837565 0.03084214 0.0050819214 0.0042500286 0.002784189 0.013901539 0.0016133289 0.0024762724 0.011677552 0.009633398 0.013189967 0.025731755 0.008540164 0.0011359284 0.01789799 0.011370929 0.02114664 0.010203949 0.004028794 0.0025435481 0.00232102 0.0061829183 0.0019898154 0.0021450676 0.0005097447 0.0014658393 0.0017362369 0.00096773857 0.0032615897 0.0013028246 0.0018604386 0.0010945279 0.00082801166 0.0010130205 0.0018436196 0.0011449849 0.0018604386 0.0007076912 0.0012019107 0.0009315131 0.00071674754 0.0007529731 0.0013299937 0.001551228 0.00079954875 0.00072839146 0.0008978751 0.00083577423 0.00071286625 0.00089140626 0.0010984092 0.0006054835 0.00045023134 0.0011760353 0.0010867653 0.00056667044 0.0005550265 0.00057702063 0.0011928543 0.0008137802 0.000569258 0.0008215428 0.0015331153 0.00065594044 0.00091728166 0.00051750726 0.0009159879 0.00069863483 0.00084612437 0.0005123322 0.0010026704 0.0005485577 0.0003415548 0.0004269435 0.0010427772 0.00046446276 0.0006339464 0.0008047238 0.0013079996 0.00068181584 0.0005200948 0.00056020165 0.000798255 0.000552439 0.0005446764 0.00070898497 0.0007516793 0.0019652338 0.00051491975 0.00041141827 0.00084871193 0.00044764378 0.0009910264 0.000658528 0.00082283653 0.0005162135 0.0006430028 0.0005200948 0.0009289255 0.00043341235 0.00071416004 0.0005213886 0.0010828839 0.0007051037 0.0010000828 0.0005162135 0.0009108128 0.0004101245 0.0006637031 0.0005045696 0.0008551808 0.0007672045 0.0006740532 0.00038683668 0.0010634775 0.00084483065 0.0005899583 0.0010376021 0.0010194894 0.0005938396 0.0006701719 0.0007025161 0.0013429314 0.00051750726 0.0008500057 0.00090951903 0.0011152282 0.00068181584 0.000798255 0.0006106586 0.0013481064 0.0013183497 0.0010906466 0.0006093648 0.0011669789 0.00056278915 0.00071286625 0.00077237963 0.0011656851 0.0006093648 0.0008745873 0.0009858514 0.0013455189 0.0008590621 0.0012614239 0.0010583024 0.0012756555 0.00094962586 0.0013869195 0.0009858514 0.0019160707 0.001478777 0.0019885218 0.0016120351 0.012403356 0.048848804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006412501 0.00040722528 0.00021917539 0.0002289021 5.900876e-05 6.160255e-05 5.252428e-05 6.419634e-05 7.068082e-05 5.0578936e-05 4.928204e-05 4.0852217e-05 2.5289468e-05 3.0477051e-05 5.252428e-05 0.00014330698 0.006891704 0.00060370495 0.00041111597 0.00033654444 8.7540466e-05 0.00011996286 3.8258426e-05 4.60398e-05 0.00011736907 5.7063415e-05 4.668825e-05 0.00029180155 1.9453437e-05 4.344601e-05 3.3070843e-05 0.00015238526 0.010322642 0.00062510377 0.0006730889 0.00037869357 0.0035230173 0.0029614614 0.016952373 0.0087073585 0.00017637783 0.00010115787 9.921253e-05 0.00017443248 7.132927e-05 8.7540466e-05 7.911064e-05 0.00021982384 0.092285804 0.0054210243 0.009076325 0.0031255188 0.0076672477 0.005445665 0.03767547 0.01876219 0.0010530794 0.0014499294 0.0018428889 0.0008060207 0.0007437697 0.0006179708 0.00056998566 0.0007081051 0.07314492 0.007322922 0.007846868 0.0035930497 0.0044801263 0.0034614147 0.026563019 0.015849363 0.0013876784 0.0014577109 0.0020711424 0.0011847143 0.0014337183 0.0011600732 0.0011159788 0.001977766 0.083888404 0.0085757235 0.013312635 0.015665852 0.009709858 0.0072658584 0.04093457 0.025901603 0.0042064814 0.0016742924 0.0013111616 0.001977766 0.001928484 0.0013513654 0.0013941629 0.009321438 0.030274734 0.0059858225 0.0050202836 0.0048905937 0.0041649807 0.0028181544 0.012202492 0.007313844 0.003183879 0.0013098647 0.0010900409 0.001673644 0.0011672062 0.0013150523 0.0015413606 0.011665577 0.029260563 0.007507081 0.0083267195 0.007972667 0.0053030066 0.005104582 0.016089289 0.010814814 0.0042512245 0.0026326983 0.0021068072 0.0025613692 0.0025425642 0.00335896 0.0035307987 0.025423048 0.022894101 0.0060428856 0.004995642 0.004071604 0.0040644715 0.0035016185 0.005347101 0.005161645 0.005313382 0.0031845276 0.0023460845 0.002512087 0.00259444 0.0032500208 0.0045585884 0.025075478 0.006282163 0.00255683 0.0016567843 0.0021042135 0.0013169977 0.001138026 0.0017611844 0.0016405731 0.0016036116 0.0010297352 0.00081055984 0.0007781375 0.0008014816 0.0009849924 0.0014077803 0.0046714186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7760.0 22.878994 177541.0 0.016396213 0.000101385034 0.0005857802 0.0006083102 0.0006026777 0.0005857802 0.00023656507 0.001526408 7.322252e-05 2.8162509e-05 6.759002e-05 0.0005576177 0.015145797 0.00082234526 0.031029452 0.0009293628 0.021065557 0.0072039696 0.001548938 0.006646352 0.0088036 0.010448291 0.0039652814 0.009986426 0.0045510614 0.007778485 0.00047876264 0.00036611262 0.00047313015 0.015033147 0.0006308402 0.0003210526 0.00038301013 0.0068491222 0.0021347182 0.01571468 0.013788365 0.0024050782 0.003334441 0.002985226 0.0014475529 0.010025853 0.0005294552 0.005559279 0.0024895659 0.006854755 0.0034977836 0.0035710062 0.0087867025 0.0016277931 0.0035315787 0.019296952 0.009839981 0.0011997229 0.006713942 0.0019037856 0.00082234526 0.00012391504 0.000101385034 0.0007378577 0.00017460756 0.0005745152 0.00023656507 0.015179592 0.000118282536 0.042181805 0.024557708 0.021763988 0.01537673 0.10780609 0.0076771 0.012115511 0.005029824 0.040531483 0.0019995382 0.005722622 0.037230838 0.03411043 0.04085817 0.039934438 0.010059648 0.0003266851 0.047960754 0.03444275 0.06866583 0.036864724 0.007941827 0.0056268694 0.0037681437 0.021752723 0.003706186 0.0 5.6325018e-05 1.1265003e-05 0.00077165273 1.1265003e-05 5.333686 0.0 18.0 0.0 1.0 772936.0 794624.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1535570700.0 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 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 6.0 0.0 758784.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -758784.0 512.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.085589 3.6599903 4.1121006 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 -758532.0 312.0 4912.0 0.0 0.0 0.0 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 766640.0 4912.0 778240.0 0.0 0.0 6984.0 765952.0 12.0 786432.0 28.0 770048.0 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: 0.3383789 0.01928711 0.004638672 0.001953125 0.008300781 0.0036621094 0.0036621094 0.012939453 0.009765625 0.0007324219 0.0009765625 0.0014648438 0.0053710938 0.001953125 0.0007324219 0.009033203 0.01171875 0.0007324219 0.0007324219 0.0009765625 0.006591797 0.007080078 0.0014648438 0.0007324219 0.00390625 0.00024414062 0.00024414062 0.0 0.0026855469 0.00024414062 0.0007324219 0.0014648438 0.005859375 0.00048828125 0.0007324219 0.00048828125 0.024658203 0.0 0.0 0.00024414062 0.00024414062 0.00390625 0.0009765625 0.0014648438 0.00048828125 0.00024414062 0.0024414062 0.0 0.0021972656 0.008056641 0.0017089844 0.0009765625 0.00048828125 0.00048828125 0.00024414062 0.00048828125 0.0 0.0041503906 0.00024414062 0.00024414062 0.00048828125 0.0007324219 0.0007324219 0.0 0.004638672 0.010253906 0.0021972656 0.001953125 0.0048828125 0.0029296875 0.0034179688 0.0017089844 0.0012207031 0.00024414062 0.0012207031 0.0009765625 0.0029296875 0.0026855469 0.00048828125 0.0012207031 0.010009766 0.0012207031 0.0017089844 0.0029296875 0.0017089844 0.0029296875 0.0041503906 0.005859375 0.00048828125 0.00048828125 0.00048828125 0.0007324219 0.0012207031 0.0012207031 0.0034179688 0.001953125 0.0007324219 0.0017089844 0.00048828125 0.0014648438 0.0012207031 0.0012207031 0.0068359375 0.0009765625 0.0043945312 0.0009765625 0.0026855469 0.00024414062 0.00048828125 0.00048828125 0.0012207031 0.0014648438 0.001953125 0.00048828125 0.0034179688 0.0021972656 0.008056641 0.0031738281 0.0024414062 0.0012207031 0.001953125 0.00048828125 0.0 0.0009765625 0.0034179688 0.0021972656 0.0021972656 0.00024414062 0.0009765625 0.0021972656 0.00024414062 0.013183594 0.0087890625 0.009521484 0.0 0.00024414062 0.0012207031 0.048095703 0.0 0.01586914 0.0024414062 0.018554688 0.0061035156 0.00024414062 0.0041503906 0.00048828125 0.0 0.0 0.0029296875 0.00024414062 0.00048828125 0.0 0.0029296875 0.0 0.00048828125 0.0 0.001953125 0.0021972656 0.00024414062 0.00048828125 0.0007324219 0.00048828125 0.0 0.0 0.0007324219 0.00048828125 0.0 0.00024414062 0.00048828125 0.0 0.00048828125 0.00024414062 0.0034179688 0.0 0.00048828125 0.00024414062 0.0014648438 0.00024414062 0.0 0.0 0.005126953 0.0009765625 0.00048828125 0.00048828125 0.0031738281 0.0026855469 0.0009765625 0.0012207031 0.004638672 0.0014648438 0.0007324219 0.0014648438 0.0078125 0.0043945312 0.0012207031 0.0014648438 0.0048828125 0.0 0.001953125 0.010498047 0.001953125 0.0009765625 0.00048828125 0.00048828125 0.00024414062 0.0007324219 0.0007324219 0.00024414062 0.0024414062 0.0017089844 0.0014648438 0.00048828125 0.0017089844 0.00024414062 0.00024414062 0.00024414062 0.0007324219 0.0007324219 0.0 0.0014648438 0.0007324219 0.00048828125 0.00024414062 0.00024414062 0.0021972656 0.0007324219 0.00024414062 0.0 0.0009765625 0.0012207031 0.00024414062 0.00024414062 0.018310547 0.0024414062 0.0 0.0017089844 0.0021972656 0.00024414062 0.0 0.0007324219 0.0043945312 0.0041503906 0.00048828125 0.0009765625 0.0009765625 0.00024414062 0.0021972656 0.0 0.0041503906 0.006591797 0.001953125 0.00024414062 0.0043945312 0.0078125 0.001953125 0.028808594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.19042969 0.011881511 0.016927084 0.0047200522 0.0126953125 0.009928386 0.01171875 0.008626302 0.027018229 0.005859375 0.0024414062 0.0063476562 0.0073242188 0.0022786458 0.0063476562 0.0087890625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.19596355 0.030273438 0.03157552 0.018717447 0.033528645 0.03483073 0.013671875 0.024902344 0.11360677 0.012532552 0.006184896 0.020345053 0.033040363 0.0100911455 0.029134115 0.05826823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 9.6 96.0 0.072916664 0.010416667 0.0 0.0 0.020833334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010416667 0.0 0.083333336 0.0 0.03125 0.010416667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.041666668 0.010416667 0.0 0.0 0.010416667 0.0 0.0 0.0 0.0 0.0 0.010416667 0.0 0.010416667 0.0 0.0 0.010416667 0.010416667 0.0 0.0 0.010416667 0.010416667 0.0 0.0 0.010416667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010416667 0.0625 0.010416667 0.041666668 0.041666668 0.041666668 0.020833334 0.03125 0.020833334 0.03125 0.010416667 0.0 0.010416667 0.020833334 0.041666668 0.041666668 0.010416667 0.0 0.072916664 0.03125 0.052083332 0.010416667 0.0 0.0 0.010416667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8616095 0.0 0.0 0.0 1.0 4096.0 2830336.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1534197400.0 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 0.0 0.0 0.0 0.0 0.0 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 14.0 0.0 5.0 1.0 5.0 1.0 73728.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 27136.0 0.0 0.0 0.0 0.0 0.0 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 -74240.0 0.0 2695680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.028228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4272.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 27116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73791.0 0.0 2695248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 101500.0 2695248.0 122880.0 0.0 0.0 7768.0 47570320.0 4272.0 2822144.0 28.0 101284.0 0.0 0.0 0.0 0.0 0.0 0.0 152.0 78848.0 0.0 0.0 324.0 101904.0 0.0 0.0 0.0 0.0


Input: 0.1925403 0.0100234 0.0056277453 0.006350005 0.018584713 0.0039752894 0.006472969 0.00559343 0.011538185 0.002909466 0.0027239986 0.0027003046 0.007586998 0.0022296917 0.002796715 0.004943886 0.005174699 0.0013628163 0.0010976881 0.0014110215 0.0032346463 0.0013963148 0.0012018603 0.0006863104 0.001953125 0.00091875717 0.0009865712 0.0005130987 0.0013109345 0.00063524564 0.0006254412 0.0006985659 0.007086972 0.0007430944 0.00089506316 0.00094571937 0.0037979926 0.0012966364 0.0012570102 0.0006438245 0.0009592005 0.0012668147 0.0015164191 0.0065853116 0.0014882314 0.00065117783 0.0022966887 0.00058172975 0.0022109 0.002167597 0.0018150458 0.004075785 0.0015584965 0.0013840593 0.0016659368 0.000756167 0.0020781315 0.00084318133 0.0014130641 0.0030528556 0.0011426251 0.0013636334 0.0011483444 0.0006703782 0.005086867 0.0025683532 0.0019282054 0.004191804 0.004472865 0.0072205574 0.0017562193 0.0014800611 0.002005824 0.0017178186 0.0016381575 0.0016679794 0.0014931336 0.0038903179 0.0026398438 0.0018840855 0.008668345 0.0050435644 0.0052502747 0.010092031 0.0026480143 0.0077230344 0.005592204 0.0029511347 0.0019163584 0.004851561 0.00072757073 0.0032624255 0.00089302054 0.0061081625 0.0025001308 0.0018608 0.0011226077 0.0029625732 0.0024384444 0.0020867104 0.004801722 0.0044454937 0.0047114394 0.001118114 0.00494552 0.0053376975 0.0074035735 0.0029838162 0.0022840246 0.0013914126 0.0024445723 0.0025148373 0.0036836076 0.0004154629 0.0038956285 0.0029760543 0.007013847 0.0066813133 0.0008852587 0.04208635 0.0010392701 0.00081867026 0.00037787925 0.00064627564 0.0011426251 0.0017549937 0.00050043466 0.0006556715 0.0046007307 0.0018783662 0.0008362365 0.011477725 0.0016798264 0.0043184445 0.00058132125 0.0013828337 0.0029760543 0.006545277 0.0013154283 0.024185497 0.0004918558 0.0065828604 0.00061277713 0.00044201658 0.001627536 0.0007320644 0.0006499523 0.0011266929 0.0010306912 0.0016745157 0.00059275975 0.00073982624 0.0013591397 0.0012476143 0.0005376098 0.00039340294 0.0007814951 0.0005286224 0.00039013478 0.00054292055 0.0021720908 0.0010482575 0.0007406433 0.0010617385 0.0016410172 0.0032411825 0.00169535 0.0028992528 0.0023203827 0.0010421297 0.0013738463 0.0048397137 0.0013007217 0.0018256673 0.002404129 0.0035974104 0.0025560977 0.00031047376 0.00045263805 0.00059766194 0.0005531335 0.00056579756 0.00039136034 0.0011871536 0.0014755673 0.0009216168 0.00072348554 0.015158473 0.00071286404 0.0008868928 0.00066915265 0.00068876153 0.005214325 0.00094980455 0.005443912 0.0049700313 0.010126755 0.0023281446 0.00322811 0.006200896 0.0030426427 0.0015417472 0.0031974711 0.0007251196 0.0017243549 0.001604659 0.00877456 0.003543486 0.0025426166 0.0016344809 0.007080027 0.0032869366 0.0033478057 0.0047465716 0.0006303434 0.00080355507 0.0031092311 0.0033343246 0.0037007653 0.006297715 0.007574334 0.0018154545 0.002316706 0.0042346986 0.005278871 0.0012051284 0.0021622863 0.001682686 0.0018608 0.0013432074 0.0010772622 0.00081948726 0.013594257 0.002763625 0.0010433552 0.0029715607 0.0044528474 0.0008198958 0.010518115 0.0011475274 0.0026047113 0.0004648936 0.00046366802 0.0006009301 0.0020519863 0.0003590874 0.0018563062 0.0013701697 0.00456233 0.0018456847 0.0013358542 0.0019947938 0.005363434 0.0014367581 0.0031223039 0.041378796 0.009591078 1.0219364e-06 2.2278215e-05 4.0877458e-07 3.474584e-06 4.0877458e-07 2.0438729e-07 0.0008222501 4.0877458e-07 0.0 2.0438729e-07 0.0 1.7986082e-05 3.6789713e-06 4.0877458e-07 8.1754916e-07 0.002353111 4.0877458e-07 6.887852e-05 6.336006e-06 0.0 6.131619e-07 0.0 1.3898336e-05 2.4526475e-06 0.0 0.0 0.0 6.3360065e-05 0.0 0.0 2.4526475e-06 0.007972127 0.0004931865 0.00015983086 2.7796672e-05 2.3913313e-05 1.0219364e-05 1.6350983e-05 0.004739537 1.5329048e-05 1.4307111e-06 4.2921333e-06 4.0877458e-06 0.0002640684 3.69941e-05 8.706899e-05 0.00037566386 0.006649945 0.00020009516 0.000782599 0.00015656067 2.2073827e-05 5.8659152e-05 1.6146596e-05 0.009245868 1.8599243e-05 1.4307111e-06 1.0219364e-06 8.1754916e-07 8.993041e-06 1.0219364e-06 0.00043146158 0.00082245446 0.0027522794 6.5403933e-06 0.00026325084 4.680469e-05 3.8833587e-05 2.718351e-05 3.6789713e-06 0.004104097 4.2103784e-05 4.0877458e-06 3.474584e-06 0.0054332274 1.6350983e-05 0.00016350983 0.0005592036 0.0007672699 0.008957477 0.0001158876 0.001162555 0.00020786189 0.00017086777 0.0002834852 3.2088807e-05 0.010899361 0.00020356974 1.9416793e-05 2.6774736e-05 0.003301468 0.00010689456 0.0003975333 0.0019751987 0.0010219365 0.013588485 0.0005647221 0.0011529487 0.0005696274 0.0006640543 0.0005066761 0.00031455205 0.004365917 0.00070820196 9.0952344e-05 0.00039201483 0.0013626501 0.00036278745 0.0024583703 0.0031539004 0.0011380285 0.013108788 0.00038056914 0.0015592707 0.00042103784 0.00091340684 0.0012414485 0.00296893 0.005205131 0.0005262973 9.504009e-05 0.00068285794 0.002269721 0.0024097261 0.0050845426 0.005215146 0.0035438712 0.053614877 0.0011122756 0.0046438836 0.004949034 0.0041682743 0.0039577554 0.0095681865 0.0072021997 0.0022715605 0.00088622334 0.0036969574 0.0031348923 0.0018963054 0.0066859173 0.0044505335 0.004127806 0.023592018 0.00085352134 0.0024293475 0.001853384 0.0028773644 0.0025955143 0.00402132 0.0026631665 0.0013765484 0.00095653255 0.004364895 0.0012052719 0.0014766982 0.0069687893 0.0013695993 0.0012537116 0.016296413 0.0014008705 0.0014926405 0.0017379052 0.0049134707 0.0025581114 0.0045811366 0.0018266093 0.0013771616 0.0014959106 0.0029997923 0.00056329137 0.0039176955 0.005537465 0.00089746463 0.002820136 0.01560824 0.0015390363 0.0027261178 0.003554704 0.0048031015 0.0028479325 0.0050925137 0.0018850641 0.0020034043 0.0013857458 0.0040763 0.0010252066 0.007019682 0.007684758 0.0024679767 0.0032538457 0.021206817 0.002726731 0.005324698 0.0025534106 0.005259907 0.006090946 0.0055767074 0.0027862077 0.006255069 0.002184287 0.007057289 0.0019547602 0.01811321 0.010292536 0.007318496 0.008735513 0.078270726 0.011756562 0.00839296 0.009561238 0.018481925 0.04306706 0.0172881 0.015271205 0.047190167 0.005892486 0.008203289 0.0063969134 0.023657216 0.009594757 0.020753281 0.03620537 0.01285637 0.0020299747 0.0018186382 0.0017160358 0.0033235417 0.006884786 0.003537944 0.0035835225 0.0079588415 0.0009471307 0.001701933 0.0012109948 0.0032540502 0.0015425109 0.0040769135 0.0067631756 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12843.0 18.489216 237457.0 0.012857065 0.0011328367 0.0033942987 0.003166889 0.0036680326 0.0039880904 0.002931057 0.0006738062 0.0014528946 0.001575022 0.0019708832 0.032031063 0.0063716797 0.0013223446 0.012402246 0.00094332866 0.002231983 0.009281681 0.0036933003 0.005238843 0.00758032 0.0013644575 0.0105198 0.0011917948 0.010397672 0.0023583218 0.0054451963 0.009500667 0.0011791609 0.00057273527 0.004013358 0.00045903047 0.0029268458 0.006156904 0.0023751669 0.0051251384 0.008544705 0.006114791 0.0029057893 0.004754545 0.005672606 0.006203228 0.00532728 0.000627482 0.0018487558 0.0044681774 0.0022446169 0.003630131 0.005040913 0.004518713 0.004472389 0.007142346 0.006603301 0.008877397 0.010646138 0.0039880904 0.009256412 0.010309235 0.0016002897 0.008077252 0.0022993637 0.0049482645 0.0049272077 0.008233069 0.0019287702 0.01653352 0.015093259 0.011282043 0.024025403 0.022736749 0.014331016 0.004910363 0.0048471936 0.028801003 0.011644213 0.011513663 0.008860552 0.0045860936 0.010549278 0.012440147 0.018247515 0.0005179885 0.013029727 0.009728077 0.015569135 0.0048219254 0.0015497543 0.38933364 0.001794009 0.0029184232 0.00029057893 0.00022319831 0.0026573231 0.00019371929 0.00012212737 0.00014318382 4.636874 0.0 0.0 0.0 2.0 2447872.0 2486272.0 0.0 8.0 449.0 0.0 1.0 0.0 1.0 0.0 2254908700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -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 3.0 10.0 1116160.0 1024.0 4096.0 8.0 0.0 0.0 1.0 4.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -175616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1116160.0 0.0 0.0 512.0 -8192.0 0.0 0.0 -4096.0 1140736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14979693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.687884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.513556 0.0 0.0 3.3908722 -4.520258 0.0 0.0 -4.496587 6.152664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1118208.0 0.0 0.0 4096.0 -8192.0 0.0 0.0 -4096.0 1142784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 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 0.0 0.0 0.0 -1.0 -3.0 0.0 2.0 0.0 0.0 2.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 288.0 1339392.0 3808.0 1335296.0 1140736.0 1343488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 1323008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0