Input: 0.30531234 0.040698554 0.04085476 0.0073697367 0.03430538 0.0050462624 0.0094738975 0.005445577 0.0052955756 0.004053148 0.047114484 0.0040872865 0.0034681417 0.0037231445 0.0030988273 0.003365727 0.0034215895 0.007185079 0.0028748594 0.0037815934 0.0017389847 0.0012594967 0.007251287 0.0059374794 0.001452947 0.0029312393 0.0011674267 0.0011358747 0.0015776036 0.0016676047 0.001599328 0.0071183546 0.0128727285 0.0024041645 0.0031252068 0.0024905447 0.0022577834 0.002214852 0.002866066 0.0008105262 0.007368702 0.00082552637 0.0022603697 0.0023224393 0.0014560506 0.0041607358 0.0033946927 0.00089121674 0.0033176227 0.0013536356 0.0011162192 0.0012988074 0.000801733 0.0015310514 0.0006832834 0.00087621657 0.00137536 0.00088604423 0.0014332917 0.0008146642 0.00096414855 0.0010877707 0.0005943169 0.0007991468 0.00095949334 0.0034950385 0.002820031 0.0018062268 0.0020917472 0.0014762232 0.0019655388 0.00165157 0.0012175996 0.0015713966 0.0009724245 0.001509327 0.0012589794 0.0016691564 0.0013174283 0.0015077753 0.0022593352 0.00069414556 0.0014157053 0.0023079566 0.0019851944 0.0010448392 0.0017172603 0.00058397197 0.0006263862 0.0006020756 0.0004965572 0.0011808751 0.00055241986 0.000801733 0.0004893157 0.0033450369 0.00057000626 0.008119745 0.0021082992 0.0027145126 0.006486796 0.018109338 0.002746582 0.004564706 0.0017767438 0.007466979 0.0010608737 0.0035865912 0.0074845655 0.00399832 0.009061134 0.035576772 0.010330459 0.0005043159 0.016538458 0.014631368 0.012754796 0.0034019342 0.0026219254 0.0007732844 0.001553293 0.0017477779 0.00048569503 0.024768895 0.00054621295 0.0033377954 0.0007546635 0.0005503509 0.0015186374 0.001563638 0.00059224793 0.0006667315 0.0006031101 0.00061242055 0.0008306988 0.0005136264 0.0005627648 0.0008819063 0.0004986262 0.00045207396 0.00076500844 0.0006351794 0.00048310877 0.0005669028 0.00055500615 0.0006119033 0.0005415577 0.00061448955 0.00067862816 0.00045414295 0.00048724675 0.0005415577 0.0007965605 0.0010029421 0.0008306988 0.0006486279 0.0005187988 0.00069828355 0.00044897047 0.00050121243 0.0005094884 0.0005110401 0.0013324285 0.0010303562 0.00054310943 0.0008819063 0.00072518043 0.00046603964 0.0004975917 0.00064086914 0.0009941489 0.0005291438 0.0005043159 0.00084725075 0.00061242055 0.00043862552 0.00044431526 0.0005327645 0.0004448325 0.0005224196 0.00057259254 0.00080328475 0.0005089711 0.0006688005 0.0007469048 0.0005731098 0.0004536257 0.00045414295 0.0008286298 0.0009191481 0.000533799 0.00042569436 0.0009108721 0.00056328205 0.0006688005 0.0011089777 0.0005415577 0.0004701776 0.00048724675 0.00047535007 0.00086690614 0.0005958686 0.00041897013 0.000441729 0.0007867328 0.00036517644 0.00045000497 0.00042465987 0.00047793632 0.00060569635 0.00046086716 0.00045672918 0.00055862684 0.0006129378 0.0011069088 0.0005187988 0.0008327678 0.00053897145 0.00046345338 0.00037293514 0.0005870754 0.0008927685 0.0010463909 0.0008994927 0.0006667315 0.00070552505 0.0005110401 0.00067190395 0.00043914278 0.000709663 0.001291566 0.0005601786 0.00045672918 0.0007789741 0.0005896617 0.0005027642 0.0015460516 0.00049500546 0.00077173265 0.00064966234 0.0005906962 0.00079397426 0.0006119033 0.0009843212 0.00083380233 0.0006315587 0.0004975917 0.0005581096 0.00086276815 0.000619662 0.00043345307 0.00058810995 0.000889665 0.0005141436 0.0038421114 0.009624417 0.020121483 1.0350424e-06 1.2938029e-06 1.2938029e-06 5.175212e-07 1.5525636e-06 4.6576906e-06 3.3638878e-06 0.0 0.0 2.587606e-07 0.0 0.0 0.0 0.0 2.3288453e-06 0.0009988159 2.587606e-07 3.881409e-06 2.0700847e-06 7.762818e-07 2.0700847e-06 1.1385467e-05 7.762818e-06 0.0 2.587606e-07 0.0 2.587606e-07 5.175212e-07 0.0 2.587606e-07 3.1568794e-05 0.00097345735 8.280339e-06 1.1644227e-05 5.9514937e-06 6.7277756e-06 7.5040575e-06 2.5099778e-05 1.44905935e-05 1.0350424e-06 5.175212e-07 2.587606e-07 2.0700847e-06 1.0350424e-06 5.175212e-07 7.762818e-07 5.175212e-07 0.00044222188 2.7428623e-05 5.6927333e-06 7.762818e-07 1.0350424e-06 1.5525636e-06 4.3989303e-06 4.450682e-05 2.587606e-07 2.587606e-07 0.0 5.175212e-07 2.587606e-07 5.175212e-07 2.587606e-07 2.587606e-07 0.004071598 1.6560678e-05 2.0700847e-05 5.8997415e-05 0.00035450203 1.3455551e-05 3.2086315e-05 2.6393582e-05 1.4231833e-05 1.6043157e-05 0.00035450203 1.03504235e-05 1.44905935e-05 8.021579e-06 8.280339e-06 0.00027920268 0.007000509 2.7169863e-05 3.5708963e-05 0.00014723478 0.00076696643 3.3121356e-05 9.186001e-05 6.339635e-05 3.907285e-05 3.1568794e-05 0.00075299334 1.9665806e-05 3.54502e-05 1.7078199e-05 2.6652342e-05 0.0004505022 0.005131481 0.00025125654 0.0002528091 0.00044687957 0.00012653394 9.884655e-05 0.0007703303 0.0005141573 2.6911102e-05 2.0700847e-05 2.3805975e-05 2.199465e-05 2.173589e-05 2.095961e-05 1.9665806e-05 0.0017908821 0.058221653 0.0035698612 0.006289435 0.0016638306 0.0055118594 0.0041826065 0.033760753 0.018809307 0.0008412307 0.0003578659 0.00044636204 0.00033121355 0.0007403141 0.00028877682 0.0007483357 0.0014914961 0.25458652 0.022121185 0.027937606 0.007865028 0.012300962 0.007858301 0.056710232 0.048884016 0.00286862 0.0029211484 0.0029286526 0.0025006623 0.0029459894 0.002883887 0.003832762 0.0061432356 0.14050572 0.020000901 0.011980098 0.0043275123 0.004580063 0.0037005353 0.016293379 0.020895695 0.0030634666 0.0034001144 0.0033926102 0.0031214291 0.0025361127 0.003220793 0.0029020002 0.0067420076 0.013914334 0.0024613307 0.0015929303 0.0009843253 0.00071417924 0.0010303847 0.0031284157 0.0021099339 0.0020110875 0.0004911276 0.0004466208 0.0005690146 0.0005666857 0.0005167449 0.0005596992 0.0012296303 0.008421363 0.0013137276 0.00091135484 0.0007245297 0.00051596866 0.00070822774 0.0014384502 0.0011680453 0.00067355385 0.00041298193 0.0003881409 0.0004996667 0.0004241086 0.0010265033 0.00077136536 0.00073979655 0.0018131355 0.0001477523 0.00027299245 0.00031103025 0.00023650719 0.00023210826 0.0006683786 0.00042540242 0.0001280865 0.00011256086 0.00012756897 0.00012705145 0.00014076577 0.00022098156 0.00023547215 0.0006295645 0.0018560898 0.00028851806 0.00047042678 0.00039771505 0.00030689008 0.00022796809 0.0004887988 0.00035760715 0.0001989869 0.0001648305 0.0001733696 0.00016638306 0.00017569844 0.00017699225 0.00021839395 0.00069063203 0.0022636377 0.00041013554 0.0004300601 0.00042773128 0.00043057764 0.0004078067 0.00046939173 0.00042721376 0.00039978512 0.00042669624 0.00041298193 0.00040030264 0.00040392528 0.00041272317 0.00042980135 0.0008562388 0.0021754003 0.0014751941 0.0015261701 0.0015776634 0.001446213 0.0016045745 0.001587755 0.0015965529 0.0014855446 0.0015789572 0.001621394 0.0016664183 0.001573782 0.0016431299 0.0015983642 0.0018100304 8593.0 18.213663 156510.0 0.006440483 0.0002619641 0.00012778737 0.0008945115 0.00017890231 0.00016612357 0.00014695547 0.000115008625 0.00021084915 0.00013417673 0.00024918537 0.0002619641 0.003558878 0.00030668968 0.00839563 0.00026835347 0.008817328 0.0051306626 0.003418312 0.0028496583 0.0023512875 0.0026260302 0.0014759441 0.0023129513 0.0014567759 0.0020701552 0.00022362788 0.000115008625 0.0003194684 0.002709092 0.00034502588 0.00016612357 0.00019807041 0.011647818 0.007443614 0.011756437 0.011775605 0.006210466 0.009060124 0.0057887677 0.0043703276 0.0076672416 0.002498243 0.006581049 0.004197815 0.0059101656 0.0034502589 0.0053862375 0.013775477 0.00035141525 0.008453134 0.014088557 0.011079164 0.0036355504 0.008210338 0.00090729026 0.00039614082 0.00024918537 0.00019807041 0.0001405661 0.00019168104 0.00013417673 0.0001597342 0.02982557 0.00010861926 0.048175834 0.010651076 0.020810172 0.03785062 0.11519392 0.010325219 0.027467893 0.008759824 0.04498754 0.0019487572 0.016267331 0.046635997 0.02183247 0.052399207 0.043709666 0.0112644555 0.00021084915 0.05207335 0.041812025 0.0805891 0.022228612 0.011858667 0.002619641 0.006683279 0.008485081 0.00042808766 0.00017251294 0.0001597342 0.000115008625 0.00019807041 0.00013417673 5.1671658 0.0 0.0 0.0 1.0 1933312.0 1941504.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1531127300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 1916928.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1916928.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.461885 0.0 6.059077 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 -1916468.0 0.0 4112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 1924564.0 4112.0 1925120.0 0.0 0.0 0.0 0.0 12.0 1933312.0 28.0 1924440.0 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: 0.08241346 0.00068376906 0.00020162422 0.00023844255 0.003327676 0.00011746802 0.004349823 0.0028648172 0.0037239115 0.0069814576 0.0034030662 0.0025965692 0.0022932563 0.0039641075 0.0038220938 0.002691245 0.003311897 0.0055543086 0.0045111226 0.0037659896 0.0031505974 0.006334507 0.005664764 0.0038220938 0.0036134566 0.0073549007 0.0035906644 0.003920276 0.0052019046 0.0039991722 8.415619e-05 0.0046619023 0.00027175437 0.00010168873 0.0001297408 4.733786e-05 3.6818336e-05 5.0844366e-05 4.733786e-05 4.5584606e-05 0.00011396151 5.4350876e-05 0.00023318279 4.383135e-05 0.00011571476 0.00056980754 0.0009642897 0.0008082501 0.0011589009 0.0010116276 0.001015134 0.0011992258 0.0012658495 0.0009642897 0.0016498121 0.0010344199 0.0013552654 0.0007153276 0.0004575993 0.00037168985 0.0004698721 0.00050143065 0.0003927289 0.0004313005 0.00056980754 0.0007416265 0.00062065193 0.0006644833 0.0012605897 0.00075740577 0.0007696785 0.0008100034 0.0008573412 0.0010116276 0.00081526313 0.0009222116 0.0010046145 0.00090643234 0.0011992258 0.00085558795 0.0014043564 0.0011290956 0.0011676672 0.00132546 0.0013272134 0.0009414974 0.0013061742 0.0007398732 0.0012132518 0.000780198 0.00069253537 0.0003506508 0.0002594816 0.00017006564 0.00014727334 0.00013149406 0.00015428636 0.00022616977 0.00020863723 0.000331365 0.0001946112 0.0003436378 0.00017006564 0.0001753254 0.00015428636 0.0002594816 0.00021915676 0.00017006564 0.00022792302 0.00026474136 0.00031909224 0.0003050662 0.00022091 0.0001718189 0.00028753365 0.0003015597 0.0003857159 0.00018935144 0.00017006564 0.0001560396 0.00015077984 0.00020337747 0.00012272778 2.9805318e-05 1.9285795e-05 3.506508e-05 6.48704e-05 0.00012097453 0.00021039048 5.785738e-05 7.013016e-05 5.259762e-05 5.9610637e-05 0.0001332473 0.00052772945 0.0010203938 0.0011501346 0.0010957838 0.0015796819 0.0014271488 0.0012027323 0.0012114985 0.001725202 0.0015095518 0.0010957838 0.000655717 0.000655717 0.00041727445 0.0004733786 0.0004540928 0.00065747026 0.00055578153 0.00086435425 0.00082928914 0.0007819513 0.0008433152 0.00082928914 0.00085383473 0.00088013354 0.0009397442 0.0008713672 0.0010887708 0.0010677318 0.0013202003 0.00096954947 0.00140085 0.0013692915 0.24173866 0.10775675 0.0013359796 0.0009099388 0.00082227617 0.0008205229 0.00039448217 0.00023318279 0.0002401958 0.00028753365 0.00030331296 0.0001788319 0.00010344199 0.00012097453 0.00010870175 8.590945e-05 8.064968e-05 7.538992e-05 7.889643e-05 6.662365e-05 0.00012448104 0.00021214374 7.013016e-05 0.00010168873 4.909111e-05 0.0002174035 7.363667e-05 5.785738e-05 0.0001753254 8.76627e-05 6.136389e-05 0.0039518345 0.0032628058 0.003946575 0.0025615043 0.004416447 0.0053456714 0.004505863 0.0035485863 0.0059785964 0.0047653443 0.0016848771 0.012271025 0.0015709156 0.0015551363 0.00059259986 0.0046075517 0.00048214485 0.00059259986 0.00065396377 0.00055578153 0.0009239649 0.0011431216 0.0011080565 0.0010274069 0.0009467572 0.0007556525 0.0014324086 0.0010782513 0.000994095 0.0012535766 0.0067254826 0.0017199422 0.0051826187 0.0074565895 0.0071655493 0.008352502 0.005343918 0.0069744447 0.006676391 0.004230602 0.0043568364 0.011888816 0.00464963 0.0043112515 0.0038326134 0.00464437 0.0049564494 0.0036941064 0.00582957 0.0051528136 0.009122181 0.00736542 0.0066167805 0.0075810705 0.013526355 0.0062503507 0.014823763 0.11112475 0.0017985612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008121627 2.7224314e-05 2.634611e-05 2.634611e-05 1.4051259e-05 1.2294851e-05 2.4589703e-05 2.4589703e-05 4.9179405e-05 6.1474257e-06 7.903833e-06 7.0256297e-06 3.4249944e-05 1.4051259e-05 5.3570424e-05 0.0005436081 0.0045982744 2.7224314e-05 1.2294851e-05 2.37115e-05 3.5128148e-06 2.9858926e-05 3.073713e-05 1.8442277e-05 2.7224314e-05 4.3910186e-06 1.8442277e-05 3.8640963e-05 4.1275573e-05 8.782037e-07 3.4249944e-05 0.00048652483 0.0014780168 1.2294851e-05 1.4929463e-05 8.782037e-06 8.782037e-07 8.782037e-07 8.782037e-07 7.903833e-06 1.7564074e-05 8.782037e-07 0.0 0.0 1.7564074e-05 0.0 2.7224314e-05 0.00021076888 0.004328666 8.957677e-05 0.00014841642 4.303198e-05 2.37115e-05 9.57242e-05 3.2493535e-05 1.2294851e-05 0.00016949332 1.2294851e-05 0.0027145275 5.5326833e-05 0.00016158947 5.444863e-05 0.00010626265 0.0027435084 0.0067911493 0.0006612874 0.00021867272 6.147426e-05 9.923702e-05 0.00027839057 0.00013699978 9.835881e-05 0.0002406278 1.5807665e-05 0.0064337202 8.782037e-05 0.00051111454 5.971785e-05 0.000806191 0.005082165 0.010024695 0.01105395 0.00027048672 0.0001905702 0.0005436081 0.00012119211 5.6205037e-05 2.4589703e-05 0.00030649308 0.00067885144 0.082848854 9.4846e-05 0.0042171343 0.0014367412 0.011970795 0.054218538 0.039575372 0.04709631 0.0010283765 0.0006920245 0.0026065086 0.0015105103 0.0010643828 0.00075086416 0.0008632742 0.0018372021 0.21715079 0.00036884556 0.025683068 0.011209392 0.044163987 0.079219244 0.03066863 0.009440689 0.00109512 0.0058734263 0.0054308116 0.006739335 0.0006621656 0.00050847995 0.0055195102 0.0048257294 0.047635525 0.0006235246 0.009366042 0.010109881 0.016845703 0.046094276 0.01092661 6.937809e-05 0.0004030955 0.005664414 0.003514571 0.0033362957 0.00077633205 0.0005453645 0.004591249 0.003310828 0.0049144276 0.0004566659 0.002372028 0.005754869 0.005527414 0.019778904 0.0025986047 9.835881e-05 0.00013699978 0.0009677805 0.0008615178 0.00053658243 0.00063757587 0.00043734544 0.00081233843 0.0007376911 0.0007877487 0.0001659805 0.00032581357 0.0012567095 0.00074208213 0.00328536 0.001431472 2.1076889e-05 7.289091e-05 0.0003583071 0.00031615334 0.0002810252 3.161533e-05 2.8980721e-05 0.00039343524 0.00033898663 0.0004030955 0.00012997414 0.00025204447 0.0005532683 0.00060596055 0.0019759582 0.0005146274 5.269222e-06 9.660241e-05 9.221139e-05 7.11345e-05 6.586528e-05 0.00021603811 0.000118557495 5.971785e-05 3.600635e-05 7.4647316e-05 1.668587e-05 4.7423e-05 7.289091e-05 8.782037e-05 0.00022306373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 20.585228 3623.0 0.014352746 0.00027601435 0.006072316 0.00082804303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019321005 0.008004416 0.0016560861 0.0022081148 0.0019321005 0.00082804303 0.00082804303 0.00082804303 0.00027601435 0.0011040574 0.0 0.0005520287 0.00027601435 0.0019321005 0.0 0.003864201 0.003036158 0.003864201 0.0005520287 0.00027601435 0.026221363 0.014352746 0.011316588 0.042230196 0.0104885455 0.012420646 0.02539332 0.008832459 0.03174165 0.011316588 0.0118686175 0.011592602 0.0104885455 0.026773391 0.012420646 0.028705493 0.009660502 0.01076456 0.017664919 0.01076456 0.008832459 0.013248689 0.0104885455 0.022633176 0.007176373 0.010212531 0.00027601435 0.0013800717 0.0 0.0 0.0024841293 0.00082804303 0.022633176 0.016836876 0.019873034 0.01518079 0.040022083 0.013248689 0.017664919 0.012144632 0.02401325 0.0104885455 0.0118686175 0.020977091 0.026773391 0.03036158 0.030913608 0.016836876 0.0146287605 0.028705493 0.03229368 0.033397738 0.020425063 0.012972674 0.009660502 0.01269666 0.017388904 0.009936517 0.0 0.0 0.0 0.0 0.0 5.7735405 1.0 0.0 0.0 1.0 570368.0 589824.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541439600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 405504.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -405504.0 0.0 163840.0 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 -4.4236903 0.0 5.1491084 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 -405252.0 0.0 163420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 413360.0 163420.0 417792.0 0.0 0.0 0.0 0.0 12.0 581632.0 28.0 413048.0 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: 0.21543393 0.011064299 0.0073800953 0.0052721226 0.012751554 0.0032853987 0.0050573815 0.0075013437 0.018209202 0.0020451571 0.0013950893 0.0026163403 0.0071682753 0.0021065117 0.001026961 0.005672389 0.029868059 0.0018479455 0.00092908565 0.0007698556 0.0040099686 0.0019808807 0.001523642 0.0008180628 0.0032605648 0.00106056 0.0005857914 0.0008794175 0.0028004043 0.00066029356 0.0006193904 0.0007391782 0.0056607025 0.00056680065 0.0008224453 0.0008399752 0.0034446288 0.001212486 0.00051567174 0.000606243 0.0018406414 0.0007581689 0.00044555208 0.0014695914 0.0019093002 0.0007610906 0.0007903071 0.0004747686 0.0033379884 0.0024015987 0.0020261663 0.007435607 0.0026470176 0.0019911064 0.0019399775 0.0016989412 0.0032123574 0.0032956246 0.0037776972 0.0052341414 0.0027916394 0.0028150126 0.0019925672 0.0023081058 0.004858709 0.0024717185 0.0020831386 0.0024819442 0.0027375887 0.013439603 0.0038448954 0.001684333 0.0026236444 0.0023928338 0.00091885985 0.0007231091 0.0026543217 0.009115557 0.0023051843 0.0018494063 0.011726054 0.004857248 0.004620594 0.004001204 0.0028398468 0.0068308245 0.005625643 0.0041312175 0.0015806142 0.0030253716 0.0006077038 0.0027039899 0.0016799504 0.006338526 0.0045957603 0.0055584447 0.0018158073 0.003763089 0.00078446383 0.0024541884 0.00480758 0.008371997 0.0018669362 0.0011482096 0.006231886 0.0026806167 0.005386067 0.0010576383 0.0035644167 0.0022686636 0.003595094 0.0033131544 0.004379558 0.00056533987 0.0057819514 0.0027375887 0.01323947 0.009257257 0.0014506007 0.0013205871 0.0026587043 0.001338117 0.0006968142 0.00036082414 0.0010766292 0.002972782 0.0012402417 0.0009787538 0.0035235134 0.0015762318 0.00049960264 0.011460184 0.002753658 0.007898688 0.0019823415 0.00055511406 0.0023957554 0.013375327 0.0009889795 0.047904883 0.0008823392 0.009365358 0.0014988079 0.0005083676 0.0020057147 0.0004075706 0.00033452926 0.0006559111 0.0009159382 0.00063107704 0.0008531227 0.00030093026 0.0011730436 0.00043970876 0.000286322 0.00032722513 0.0007479432 0.00037251075 0.0005784873 0.00056680065 0.0012270942 0.002349009 0.00026587042 0.0014199234 0.0008779567 0.0003695891 0.00030677355 0.00033014678 0.0010298827 0.00024103637 0.00024103637 0.00026148793 0.0007698556 0.0001928291 0.00026440958 0.0003374509 0.0014111584 0.00033891175 0.0003243035 0.00039880563 0.0008268278 0.000463082 0.0011920345 0.00048499438 0.002955252 0.0006354595 0.0005857914 0.00051567174 0.0009583022 0.00048207273 0.00093492895 0.00059893884 0.0072866026 0.0023197925 0.0040946966 0.004284604 0.0053612334 0.0013015964 0.002946487 0.0054693343 0.0028749064 0.0016200566 0.00068658846 0.0008268278 0.026857294 0.0009305465 0.001709167 0.0009203207 0.0033131544 0.00084143603 0.0022949583 0.00058286975 0.0017632175 0.00029654778 0.0005594965 0.0009305465 0.0023679996 0.0013571078 0.00047184696 0.0011730436 0.0019604291 0.0004689253 0.00043970876 0.0004572387 0.002711294 0.0005463491 0.00088087836 0.0002921653 0.0022233778 0.002886593 0.00048499438 0.00038419737 0.014768955 0.0025871238 0.0013424995 0.0031948276 0.0053612334 0.00030093026 0.00040172727 0.0005361233 0.0040114294 0.001633204 0.0006223121 0.0006646761 0.0032634863 0.00057994813 0.0026893816 0.0012490066 0.0036564486 0.0012826057 0.0010561775 0.0011555137 0.0056753107 0.0016536555 0.003015146 0.03732704 0.091454275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014494705 2.9282235e-06 2.9282235e-06 2.9282233e-05 2.9282235e-06 0.0 0.0 7.3205587e-07 0.0 0.0 0.0 0.0 2.1961675e-06 2.9282235e-06 2.9282235e-06 2.9282235e-06 0.0013996908 8.78467e-06 8.78467e-06 5.856447e-06 5.856447e-06 5.856447e-06 8.78467e-06 4.392335e-06 6.5885024e-06 5.856447e-06 5.856447e-06 5.124391e-06 8.78467e-06 9.516726e-06 4.392335e-06 5.124391e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013652842 8.638259e-05 4.8315687e-05 6.5885024e-06 0.00082502695 0.0005519701 3.5870737e-05 3.0746345e-05 8.052614e-06 3.6602792e-06 2.1961675e-06 1.4641117e-05 7.3205587e-07 8.78467e-06 4.392335e-06 5.856447e-06 0.001010237 0.00024011431 5.124391e-06 8.052614e-06 2.635401e-05 1.244495e-05 5.124391e-06 1.3177005e-05 5.856447e-06 1.244495e-05 6.5885024e-06 4.758363e-05 1.244495e-05 2.1961675e-06 8.78467e-06 8.272231e-05 0.0286329 0.0042195697 0.00097143813 0.0005058506 0.001416528 0.0012122844 0.002070986 0.0012379064 0.00030965963 0.0004904774 0.00021522441 0.00051170704 0.0007401085 0.00053147256 0.00037847288 0.0030321754 0.009412042 0.0011039402 0.0004538746 0.00037993697 0.0013967626 0.0009904716 0.0031053808 0.0016105229 0.000144215 0.00019619097 9.077493e-05 0.00016544462 0.00023132964 0.00020131536 0.00021302825 0.0012942747 0.0070028463 0.00049120944 0.0009816869 0.0012283897 0.0027869367 0.0013564995 0.00702188 0.0034435906 0.00014275088 9.150698e-05 8.272231e-05 0.00014348295 0.000144215 0.0003067314 0.00013835856 0.00012444949 0.0055116485 0.0010534284 0.0017913406 0.0015043748 0.0050014057 0.001847709 0.0098285815 0.005098037 9.882754e-05 0.00015299967 7.613381e-05 0.00010834426 0.00011054043 0.00040043454 9.2971095e-05 0.0003067314 0.009771481 0.0032173854 0.0025226644 0.023597088 0.0035717005 0.0025570712 0.006985277 0.004309613 0.0016895849 0.0018696706 0.001835264 0.0016156472 0.001821355 0.0017247236 0.0015490302 0.0018272114 0.014216525 0.0046829614 0.0014992504 0.002335258 0.0027181234 0.0029575056 0.004259833 0.0029831275 0.005124391 0.0010936914 0.0009809549 0.0009977921 0.00364271 0.0012708489 0.0015497622 0.0036602793 0.10932156 0.028392054 0.010117012 0.014007889 0.030271973 0.047859617 0.015375369 0.022646148 0.07968867 0.005098769 0.005123659 0.007121439 0.051356647 0.010709245 0.026246399 0.04341018 0.027268348 0.008729034 0.0035233847 0.0052232184 0.008073844 0.011294889 0.0044150287 0.008466226 0.019969752 0.0015219441 0.0018118382 0.0022730334 0.0113842 0.0040043453 0.00862435 0.015845349 5.783241e-05 0.00011712893 0.000114932765 9.223904e-05 0.000107612206 0.00011566482 5.1975967e-05 0.00016617667 0.00011639688 4.8315687e-05 0.00014055472 6.734914e-05 9.2971095e-05 7.3205585e-05 8.78467e-05 4.9047743e-05 3162.0 20.829538 65863.0 0.025932617 0.0006680534 0.00080470066 0.002444468 0.0039779544 0.0055569895 0.0010324462 0.0016397674 0.004281615 0.00200416 0.0005314061 0.0006073213 0.0055873557 0.0032188026 0.004888936 0.0007743346 0.00886689 0.010385194 0.008593596 0.010628122 0.008745426 0.0064072395 0.0073334044 0.0065135206 0.008669511 0.008229203 0.024566146 0.0068930965 0.008259569 0.011402457 0.0065590697 0.010354827 0.019722758 0.010992515 0.0044182623 0.017748963 0.014940103 0.011782032 0.010537024 0.006877913 0.004767472 0.016291393 0.00089579885 0.0023685528 0.015896633 0.0069690114 0.007804078 0.011964229 0.01241972 0.004220883 0.009975252 0.010445925 0.011053246 0.004828204 0.009094636 0.0059821145 0.0040235035 0.0013512898 0.0008198837 0.00065287034 0.0069690114 0.0007439685 0.00078951765 0.024171386 0.0033099009 0.0344503 0.0049952175 0.022015397 0.019510195 0.07627955 0.009990435 0.009049087 0.008305118 0.023731079 0.00335545 0.007682614 0.029363982 0.019206535 0.033129375 0.029530996 0.017369388 0.0020648923 0.04321091 0.018356284 0.047765817 0.017414937 0.005739186 0.0065742526 0.008654328 0.003962771 0.0023078208 0.00050104 0.0025962985 0.00048585702 0.00065287034 0.00056177215 5.915097 24.0 0.0 0.0 2.0 684544.0 851968.0 1.0 115.0 147.0 1.0 1.0 0.0 1.0 0.0 1373912600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 10.0 0.0 5.0 1.0 5.0 1.0 455680.0 1024.0 4096.0 7.0 0.0 0.0 2.0 3.0 0.0 0.0 -512.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105984.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -455680.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.661548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5590434 0.0 0.0 -0.5892245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3788757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5346546 0.0 4.1509852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -269.0 0.0 0.0 -41386.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105965.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -455346.0 0.0 1352.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 1.0 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 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 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 2.0 0.0 0.0 1.0 -2.0 2.0 0.0 -1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 2.0 2.0 1.0 1.0 -1.0 1.0 0.0 1.0 1.0 2.0 1.0 1.0 1.0 0.0 0.0 -1.0 2.0 -2.0 -2.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 2.0 3661.0 565152.0 100.0 561704.0 1352.0 741376.0 0.0 0.0 0.0 0.0 31304.0 745472.0 28.0 464320.0 0.0 0.0 0.0 0.0 24.0 526408.0 64.0 526336.0 0.0 0.0 604.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.08548028 0.0076316986 0.008113835 0.0043974775 0.0051173153 0.0038894156 0.0053920527 0.0041048955 0.0040338547 0.0034530684 0.006334778 0.0040055728 0.0036022211 0.003407279 0.0036288195 0.003440611 0.0035540748 0.0039880653 0.0033345544 0.004145635 0.0035493611 0.0035281498 0.003827465 0.0042028716 0.003267217 0.0035089585 0.0033860677 0.0032877547 0.0033150264 0.0032796743 0.003221764 0.003896486 0.0051021646 0.003028842 0.0030685712 0.0031675573 0.0028419804 0.003303579 0.0032419653 0.0030837222 0.004670531 0.0030066206 0.0035732659 0.0035389238 0.0034668727 0.0033379213 0.003348022 0.003632523 0.0035379138 0.0031439892 0.0033082927 0.0032190706 0.0035055918 0.0034123291 0.003069918 0.003171261 0.0035591251 0.003183045 0.003345665 0.0031160442 0.0033678864 0.0033665397 0.003500878 0.00326385 0.0039890753 0.0034712495 0.0035086218 0.0036904332 0.0032803477 0.0033752937 0.0033449917 0.003256443 0.0029830525 0.0029668915 0.0031402856 0.0030786719 0.0034089624 0.0034645158 0.003202573 0.003353072 0.0035079485 0.0030490432 0.0033258004 0.0036857196 0.0035830298 0.0034887574 0.0031338886 0.0033702434 0.0032278243 0.0030271586 0.0031638537 0.0030089775 0.003098873 0.0033645197 0.0036331962 0.003776962 0.003413676 0.0039352053 0.003283378 0.0035998642 0.0036372365 0.005608206 0.0032210907 0.0037540672 0.0035564315 0.0042358674 0.0033581224 0.0032860714 0.0039564166 0.0034140127 0.003947326 0.007096029 0.004682315 0.0029271625 0.004837528 0.0045018503 0.0050291033 0.003793123 0.0029668915 0.0033624994 0.0036072715 0.00342748 0.0036406035 0.0036291562 0.0036318495 0.0035055918 0.003202573 0.003456772 0.0042311535 0.003674609 0.0033540823 0.0031466826 0.0029396198 0.0032975187 0.0032591363 0.0033066093 0.0029682382 0.0028709355 0.0030833853 0.003342635 0.0030672243 0.0031359086 0.003294152 0.003394148 0.0029675649 0.0029753086 0.0027584818 0.0029699216 0.0031416323 0.0031079636 0.003150723 0.0030167212 0.0029099912 0.00320998 0.0033029057 0.003032209 0.003195839 0.0032126734 0.0033523988 0.0031705876 0.0037584442 0.003654071 0.0034941444 0.0032069497 0.0029022475 0.003307956 0.003436234 0.0033971784 0.0031328786 0.0033971784 0.0033901078 0.0031685673 0.0030140278 0.0029921432 0.0032113267 0.0032322013 0.0030147012 0.0031877586 0.0030103242 0.0034345507 0.0029530872 0.003162507 0.0030258119 0.0030820386 0.0029362529 0.0029992135 0.0033258004 0.003185065 0.0031645272 0.0035884168 0.0037379062 0.0033345544 0.0036762923 0.0033483587 0.0029806956 0.0032483623 0.0028510708 0.003298192 0.003086079 0.003361826 0.0031544266 0.0029783389 0.0031557733 0.003245669 0.0029315392 0.0030971896 0.0033126697 0.0034052588 0.003832852 0.003464179 0.0030416362 0.0035961608 0.0032436487 0.003137929 0.0032298446 0.0032655334 0.0031480293 0.0032106533 0.0029998869 0.0031396123 0.0031029133 0.003451385 0.0033668764 0.0046270983 0.0038678676 0.0035150188 0.004260109 0.00337159 0.0030938226 0.0032049296 0.0031298483 0.00337361 0.003973924 0.0047004963 0.0032113267 0.0032416286 0.0032291713 0.0030510633 0.003279001 0.0034651891 0.0035941405 0.0034850538 0.0031537532 0.0032924684 0.0039820047 0.0031113306 0.0030746316 0.003253076 0.0035315168 0.0033012223 0.0034217564 0.003187422 0.0033557657 0.003327484 0.0037395896 0.030275289 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03242009 3.3686186e-07 0.0 0.0 1.6843093e-06 2.358033e-06 1.1790165e-06 3.3686186e-07 6.737237e-07 4.716066e-06 5.8950823e-06 1.6843093e-06 2.526464e-06 5.052928e-06 7.5793914e-06 0.016183348 0.0057281675 5.0529275e-07 6.737237e-07 1.3474474e-06 2.1896021e-06 1.4316629e-05 1.3979767e-05 2.1896021e-06 3.2001876e-06 1.987485e-05 2.9643843e-05 8.589977e-06 3.0149136e-05 6.2656305e-05 7.714136e-05 0.0026290384 0.00713086 1.1284872e-05 4.8508107e-05 5.5582204e-06 8.926839e-06 3.3517754e-05 6.703551e-05 6.9561975e-05 5.9119255e-05 9.381602e-05 0.0001187438 6.855139e-05 7.7815086e-05 0.0004003603 0.0008443442 0.0030351253 0.006672391 2.3580329e-05 3.520206e-05 1.6674661e-05 1.7853677e-05 5.6087498e-05 6.063513e-05 0.00013457632 0.000105100895 0.00012278615 0.00015714606 9.078427e-05 0.00012531261 0.00017584188 0.00028363767 0.0022707856 0.0048410418 0.00026123636 0.0005539693 0.00016977837 0.0011076018 0.0008307013 0.004970565 0.0025672242 8.438389e-05 2.8970118e-05 5.0529277e-05 7.815195e-05 4.2613025e-05 0.00027252123 0.00062993163 0.00041316106 0.016306471 0.0009925634 0.001759261 0.0006910721 0.00094355 0.0007995416 0.004532476 0.0024644814 0.00025837304 0.00017567346 0.00018813735 0.00019588516 0.0001982432 0.00049097615 0.0009144115 0.0008239641 0.01118954 0.001563039 0.0013258882 0.00049367105 0.0005571695 0.00055363245 0.0026854626 0.0020663105 0.00037459037 0.00019032694 0.00033703027 0.00018257913 0.0002031277 0.0003840225 0.0002979543 0.00036212648 0.008045608 0.0020142654 0.0013247093 0.0006850086 0.00037981174 0.00047834383 0.0011416248 0.0013270673 0.0002902065 0.00021087551 0.00038048546 0.0002445617 0.00033366165 0.0007373906 0.00096611975 0.001102212 0.0031279307 0.0011121494 0.0005814236 0.00026628928 0.00038267506 0.00023378212 0.0004111399 0.0003916019 0.00020447515 0.0001601778 0.00020363298 0.00047076444 0.00023428742 0.00039278093 0.00046604837 0.0006743974 0.0014217254 0.00066530216 0.00043438334 0.0002881853 0.00016691505 0.00013221828 0.0002996386 0.0001819054 0.00026645773 0.00015310371 0.00014552432 0.0003954758 0.00019032694 0.0005748547 0.0005858028 0.0009971111 0.0013846706 0.0002750477 0.00026342596 0.00019420085 0.0001862846 0.00015748291 0.0002455723 0.00015933566 0.00020767533 9.735308e-05 0.00017937894 0.0001460296 0.0001094801 0.00012682848 0.00015108254 0.00025550972 0.00062386814 0.000104932464 0.00015293527 0.00019858006 0.00010897481 0.00012312301 0.00018780048 0.00021323355 0.00015950408 0.0001236283 0.00018847421 0.00017550502 0.00013575533 0.00020548573 0.00023832975 0.00050933514 0.056848805 0.050291117 0.048917226 0.05007502 0.049672637 0.050054975 0.048676368 0.050633032 0.050377354 0.048118863 0.050737288 0.049109742 0.049474396 0.05005649 0.050534837 0.051872008 14119.0 7.779163 109834.0 0.015614472 0.00558115 0.0062093707 0.0061820564 0.006300417 0.0070743123 0.006400568 0.0057723476 0.0065098237 0.0059817545 0.006200266 0.0062822076 0.0084218 0.00791194 0.009223009 0.0073747654 0.012609939 0.008185079 0.008385382 0.009295846 0.008849719 0.008849719 0.0067010215 0.006746545 0.0072837193 0.0067374404 0.0071380446 0.0052989055 0.0068649054 0.00777537 0.006582661 0.005180545 0.0076661143 0.010069742 0.008895242 0.013538613 0.011817834 0.009386893 0.011362602 0.007502231 0.006309522 0.010852741 0.0062093707 0.0064460915 0.009559881 0.011198718 0.0065098237 0.0065189283 0.008731359 0.008913451 0.008631207 0.015641786 0.012682776 0.009259428 0.008175975 0.0075750677 0.0061820564 0.0062548937 0.0063459403 0.00595444 0.005681301 0.007256405 0.006081905 0.016169857 0.005936231 0.023626564 0.010779904 0.015168345 0.014503705 0.051550522 0.008476428 0.015186554 0.01024273 0.025019575 0.007565963 0.009241219 0.021486972 0.014266985 0.02046725 0.0268314 0.013857275 0.0063823587 0.025055993 0.022506692 0.03829415 0.015878508 0.0074293935 0.008567475 0.009933172 0.010579602 0.0084218 0.0058816033 0.0064187776 0.0063459403 0.0055356263 0.0056539867 6.353515 1.0 3.0 0.0 34.0 2970112.0 2990080.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541609700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 4.0 0.0 2954240.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2954240.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6624813 0.0 5.807041 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 -2954152.0 0.0 14436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 2962256.0 14436.0 2965504.0 0.0 0.0 0.0 0.0 12.0 2981888.0 28.0 2961944.0 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: 0.21523423 0.014027944 0.006342143 0.0055000167 0.012023685 0.008030137 0.00807505 0.004672862 0.009933341 0.001787178 0.002425322 0.00133243 0.008520441 0.0016861229 0.0011808474 0.0068062474 0.023152843 0.0016730231 0.00088142493 0.0013885718 0.0051444527 0.0041657155 0.0009693803 0.0011677477 0.004163844 0.0006493725 0.0007897268 0.0012819025 0.0038363507 0.0007373279 0.00071861397 0.0007129998 0.013526411 0.0006718292 0.0007541704 0.00058574526 0.02316033 0.0026255609 0.0004921757 0.0008121835 0.0026966739 0.0007672701 0.00069802866 0.0020978288 0.0021502278 0.001188333 0.0012332464 0.0008439971 0.0033909597 0.0016112672 0.001983674 0.0058611953 0.002908141 0.0016318526 0.001719808 0.0015345402 0.0028969126 0.0029249834 0.0025600623 0.004504437 0.0027546869 0.0018807475 0.0017235507 0.0013436584 0.0035107287 0.0023523378 0.0009525378 0.002631175 0.00925964 0.0038700358 0.0042480566 0.0017067082 0.0026760886 0.002026716 0.0005745169 0.0007784985 0.0067875334 0.0014914983 0.002631175 0.0022643826 0.0112676425 0.005505631 0.0064693973 0.0055786152 0.0066322084 0.00506024 0.0070270714 0.005419547 0.0014166427 0.0012744169 0.0007485562 0.0038588073 0.002539477 0.0039317915 0.0049329856 0.007330237 0.0013249445 0.0049909987 0.001676766 0.0033273324 0.004654148 0.009280226 0.0021988838 0.0013829577 0.008030137 0.004888072 0.0065330244 0.0011247058 0.0056029432 0.0018807475 0.005936051 0.0056141717 0.0031364507 0.0006961573 0.0052455077 0.00605582 0.01590682 0.008950861 0.0016112672 0.001231375 0.001701094 0.0014091571 0.00060820195 0.0003181364 0.0028183141 0.0009375667 0.0013024878 0.00086832524 0.0029680254 0.0015420258 0.0004734618 0.022518443 0.0043191696 0.009778015 0.0030728234 0.0016019103 0.0015120836 0.0111946585 0.0019911595 0.03370936 0.0011920758 0.0071992395 0.0015438972 0.0014690416 0.0011752333 0.0005296035 0.00029380832 0.00044351956 0.0008776822 0.0005726455 0.0011527765 0.00062130165 0.0009974511 0.0004959185 0.00030690804 0.0004154487 0.0007167426 0.00034620726 0.0008439971 0.00046971903 0.0008533541 0.0006381442 0.00026760885 0.0003387217 0.0008496113 0.00032375057 0.00035369283 0.0003143936 0.0010872779 0.00030877945 0.00029942248 0.00035182142 0.00080656935 0.00030690804 0.0006119447 0.0003780209 0.0011714905 0.00049966126 0.0005801311 0.0012482175 0.0009375667 0.00082528323 0.0015682253 0.00085896824 0.003282419 0.00072048535 0.00052211795 0.0007354565 0.0012164039 0.0005951022 0.0013399157 0.0006007164 0.009235312 0.0016318526 0.001566354 0.0077831135 0.014774628 0.0012631887 0.002459007 0.0052492507 0.0015981676 0.0015831965 0.0006924145 0.00064562977 0.01816933 0.00087393937 0.00098248 0.00078411266 0.0017329076 0.0011265771 0.001255703 0.0013567582 0.0006624723 0.00068680034 0.0005838738 0.0006549867 0.001504598 0.00054831745 0.0005333463 0.0017048368 0.00066434365 0.0005501888 0.0005689027 0.0006961573 0.0011059918 0.00052586076 0.00071861397 0.0003387217 0.0009263383 0.00040796315 0.00040234896 0.0003143936 0.012667443 0.0023691806 0.0004772046 0.003061595 0.0014989838 0.00091511 0.0004734618 0.0005520602 0.0016056531 0.00048843294 0.00044913375 0.00065872946 0.0009768659 0.00052586076 0.0017403932 0.0011265771 0.0032131777 0.0018564194 0.0008701966 0.0008907819 0.0013193303 0.0016150101 0.00238228 0.025722263 0.10192308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018000676 4.695012e-06 8.451022e-06 6.573017e-06 8.451022e-06 1.3146034e-05 1.2207031e-05 8.451022e-06 8.451022e-06 1.0329027e-05 5.6340145e-06 1.0329027e-05 4.695012e-06 5.6340145e-06 1.1268029e-05 4.695012e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002328726 2.5353065e-05 1.5963042e-05 0.00026104267 0.0036574143 0.003208571 1.6902044e-05 1.4085036e-05 1.2207031e-05 7.5120192e-06 1.6902044e-05 4.695012e-06 9.390024e-06 9.390024e-06 1.2207031e-05 1.50240385e-05 7.5120195e-05 0.0 0.0 8.169321e-05 0.0 0.00020000752 0.0010807918 0.00048546423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003547551 0.00023193359 0.000787823 0.00016902044 0.00017559345 0.000384052 0.004011418 0.001926833 3.3804088e-05 1.6902044e-05 2.1597056e-05 9.2961236e-05 1.9719051e-05 3.3804088e-05 2.2536058e-05 6.291316e-05 0.002778508 6.385217e-05 0.003117488 0.00032489482 0.002327787 0.0024348332 0.012155386 0.005568284 1.1268029e-05 1.3146034e-05 1.8780048e-06 1.0329027e-05 4.695012e-06 8.451022e-06 1.1268029e-05 1.4085036e-05 0.007965557 0.00032583383 0.005417105 0.0012610803 0.0037240835 0.0034592848 0.015612793 0.0077157826 0.000107985274 2.9109075e-05 2.9109075e-05 6.7608176e-05 3.1926083e-05 5.446214e-05 0.000103290266 0.00024883563 0.008861366 0.0006469727 0.0028874325 0.0017174354 0.0016460712 0.0016742413 0.008693284 0.0044358475 0.00033897988 0.0001586914 0.00016150842 0.00020470252 0.00010892428 0.00012207031 0.00022911659 0.00080566405 0.011903733 0.0019427959 0.002752216 0.014338567 0.0028658353 0.0028620793 0.0054387017 0.0034583458 0.0019409179 0.0010798528 0.0010094276 0.0010375977 0.0012488732 0.0009756235 0.0011305589 0.0017841046 0.010309308 0.002743765 0.0021644006 0.0020498422 0.0021014875 0.0037935697 0.0029418946 0.0013700045 0.0048480695 0.0006713867 0.00033240684 0.00059626653 0.00270151 0.0010272686 0.0008319561 0.0019014799 0.12552397 0.034596603 0.026557805 0.015378982 0.022767052 0.045201696 0.013276555 0.0211792 0.076811336 0.0055992715 0.003925969 0.010319636 0.05128737 0.008374962 0.017496431 0.02939547 0.029356033 0.009861403 0.009565618 0.0046490007 0.0076162484 0.014866286 0.0040790266 0.0057053785 0.021297514 0.0017456055 0.0016629733 0.0032235952 0.013183594 0.0030564528 0.0059082033 0.010376915 0.0011446439 0.0009681115 0.0009775015 0.0009643555 0.00087984523 0.00096153846 0.0011258639 0.00092679536 0.0008976863 0.00087515026 0.0008629432 0.0010667067 0.0008544922 0.0010789138 0.00092491735 0.00087515026 4468.0 16.32632 72946.0 0.07472651 0.0011515367 0.0017684314 0.0005346421 0.014791763 0.012790283 0.00039755437 0.0016039262 0.004112631 0.0020700244 0.00071285607 0.001137828 0.0042223013 0.0042634276 0.004181175 0.0021934034 0.00636087 0.00490774 0.006964056 0.0060181506 0.0062649082 0.004496477 0.004729526 0.0041400488 0.0050448277 0.0054286732 0.007841417 0.0040440876 0.0049762838 0.0044416417 0.0035779893 0.0030022208 0.0018369753 0.008472021 0.0015079648 0.013201546 0.011076687 0.014997396 0.0063745785 0.0030159296 0.0039344174 0.009212294 0.00057576835 0.0023716174 0.015079648 0.003043347 0.008170428 0.0105557535 0.017135963 0.00568914 0.01850684 0.016491652 0.018424587 0.01237902 0.0049351575 0.005319003 0.0031941435 0.0024127436 0.002097442 0.0024812876 0.0017684314 0.0027417543 0.003948126 0.025059633 0.001137828 0.03402517 0.009692101 0.021783236 0.027047405 0.0647054 0.011062978 0.0078277085 0.01638198 0.033079263 0.0026869192 0.00579881 0.029240808 0.011296027 0.03949497 0.038384557 0.01449017 0.0026046664 0.033271186 0.0386039 0.045348614 0.015792504 0.0053601293 0.00501741 0.004729526 0.0069503468 0.0019329367 0.00028788418 0.0014668385 0.00049351575 0.000658021 0.00043868067 5.7517962 1.0 1.0 0.0 3.0 534362.0 552960.0 1.0 113.0 230.0 1.0 1.0 0.0 0.0 0.0 1408123100.0 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 -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 5.0 3.0 9.0 0.0 5.0 0.0 5.0 0.0 365568.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 89088.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -365568.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.562446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0194445 0.0 0.0 -0.5921541 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4797673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4993267 0.0 4.496245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88666.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -365242.0 0.0 1652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 3.0 -1.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 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 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 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 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 -1.0 2.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -4.0 1.0 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 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 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 -1.0 2.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 2.0 2.0 -1.0 -3.0 -1.0 0.0 1.0 2.0 -1.0 2.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 4026.0 457376.0 180.0 451820.0 1652.0 466944.0 0.0 0.0 0.0 0.0 16384.0 471040.0 28.0 374432.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 451512.0 0.0 0.0 1660.0 372736.0 0.0 0.0 0.0 0.0


Input: 0.029428557 0.009227645 0.0066970414 0.006900148 0.008135258 0.0055278037 0.006581764 0.00556074 0.008305429 0.0047098864 0.00617555 0.005050228 0.007141681 0.004808695 0.0055552507 0.0055278037 0.008014492 0.0041554593 0.004418949 0.003919416 0.005769336 0.0036229894 0.0045836307 0.0043366086 0.0058901026 0.0036559259 0.003919416 0.0036943515 0.005407037 0.0036339683 0.003848054 0.0040292037 0.007547895 0.004254268 0.0040292037 0.003732777 0.005022781 0.0036284789 0.0037217983 0.0037986496 0.00450129 0.0033265632 0.0036394577 0.0039633308 0.0041280123 0.0032716694 0.004078608 0.00326618 0.005428995 0.003019158 0.004067629 0.003644947 0.0047538015 0.0033430313 0.004095076 0.0032771586 0.004825163 0.0041444805 0.003150903 0.0048141847 0.00538508 0.003485755 0.0033046056 0.0027227316 0.006142614 0.0048745675 0.004402481 0.0042872042 0.00476478 0.0038151178 0.0042378 0.0036778832 0.0052917604 0.003601032 0.0033649888 0.003370478 0.004122523 0.004023714 0.003557117 0.0033485207 0.0057418896 0.00344184 0.0035626064 0.005253335 0.0038590329 0.0033046056 0.0047318437 0.004671461 0.0047153756 0.0035351594 0.0032332437 0.0032003075 0.0042378 0.0036175002 0.0034802656 0.0031289456 0.0046549924 0.0041005653 0.003079541 0.0026074545 0.0041719275 0.0033320524 0.00335401 0.0026074545 0.006021848 0.0039029478 0.004215842 0.002887413 0.004122523 0.003063073 0.0034912445 0.0030081791 0.00538508 0.0029148597 0.0044793324 0.0032552013 0.0077619804 0.006345721 0.0038700115 0.003167371 0.0043366086 0.0035022232 0.002601965 0.0026074545 0.0047098864 0.003672394 0.0035186913 0.0030356261 0.007119723 0.0045342264 0.0039303945 0.0056650382 0.0046989075 0.004182906 0.003732777 0.0032112862 0.0045671626 0.0047977166 0.0032881375 0.005939507 0.0032332437 0.0047592907 0.0027611572 0.0024647308 0.004600099 0.0026733272 0.0029423067 0.0023329856 0.003293627 0.002629412 0.002601965 0.0028544767 0.0032497118 0.002497667 0.002684306 0.0021189 0.0030685624 0.0025909864 0.0035241807 0.002338475 0.0037547345 0.003167371 0.0024592413 0.0024702202 0.003282648 0.0028654553 0.0025635397 0.0024153264 0.0039468626 0.0025800078 0.0022012405 0.0021573256 0.0033155843 0.002514135 0.002612944 0.00203107 0.0043256297 0.0025525608 0.002135368 0.0023439645 0.0038809902 0.0025964759 0.0031234561 0.0027611572 0.0039468626 0.0024921775 0.0025031564 0.0030575835 0.0038809902 0.0023878794 0.0030466048 0.0026788164 0.005549761 0.004660482 0.00405665 0.003990778 0.003661415 0.002250645 0.0035241807 0.0030740518 0.0048745675 0.0027776253 0.0025635397 0.0025909864 0.002991711 0.0021847724 0.0023274962 0.002903881 0.0043805237 0.002409837 0.0034528188 0.0025800078 0.0035241807 0.0016907285 0.002816051 0.0023055389 0.0046385243 0.0025964759 0.0031618818 0.0031454137 0.0035351594 0.002700774 0.0026952846 0.0030575835 0.0053631226 0.0033155843 0.0025470713 0.0027117527 0.0045946096 0.002091453 0.0023329856 0.0028983916 0.00405665 0.002805072 0.0023055389 0.006867212 0.004067629 0.0027501783 0.002612944 0.002728221 0.005341165 0.002629412 0.002876434 0.0028270297 0.0035516275 0.0018169841 0.0034802656 0.0032057967 0.0043036724 0.0024043475 0.0025690289 0.0030081791 0.0039029478 0.0026458802 0.0036175002 0.006170061 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040199975 5.271218e-05 3.6066227e-05 5.826083e-05 3.8840553e-05 2.2194603e-05 0.0001303933 4.716353e-05 0.00023304332 1.6645952e-05 0.00015813654 2.4968927e-05 2.2194603e-05 2.7743254e-05 3.0517578e-05 0.00076293945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003922896 0.00011929599 9.1552734e-05 0.00015813654 7.768111e-05 8.600408e-05 0.00014426491 6.1035156e-05 0.0002080744 4.9937855e-05 9.987571e-05 4.716353e-05 0.00010265003 6.935813e-05 0.00012484464 0.0003190474 0.0031516335 0.000110973015 7.768111e-05 0.00038563123 3.8840553e-05 3.8840553e-05 0.00011374734 2.2194603e-05 0.0002940785 5.826083e-05 0.0002607866 4.161488e-05 0.00013316762 8.600408e-05 0.00012207031 0.0007462935 0.008827903 0.00034956497 0.00077126245 0.0007240989 0.00030517578 0.00025801224 0.0011568937 0.0006075772 0.0007407449 0.0001303933 0.00041337448 0.00014703925 0.00031349875 0.0002940785 0.00029962714 0.0017062101 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002532959 0.00021917169 0.00019420277 0.00018865411 0.00020530006 0.00024968927 0.00022472035 0.00022472035 0.00025523792 7.4906784e-05 0.00013594194 0.00024414062 0.00019142845 0.00024414062 0.00024691495 0.00024968927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0998008 0.072667904 0.06472501 0.062139336 0.066225916 0.0633961 0.05587214 0.06418679 0.067596436 0.046001088 0.04360962 0.047507547 0.053647127 0.04826771 0.053599965 0.050983775 1267.0 6.4104185 8122.0 0.029795617 0.0075104656 0.012065994 0.0082492 0.011942871 0.007879833 0.007387343 0.009726669 0.010834769 0.0072642206 0.008495444 0.009972913 0.010834769 0.0070179757 0.012804728 0.0075104656 0.015144053 0.0072642206 0.012189116 0.010465402 0.011327259 0.007387343 0.015759666 0.0071410984 0.012681605 0.008002955 0.006032997 0.00775671 0.01551342 0.008126077 0.0072642206 0.006032997 0.011819749 0.013666584 0.009603546 0.011942871 0.012435361 0.009603546 0.009972913 0.008741689 0.011819749 0.011450382 0.00775671 0.0070179757 0.012681605 0.008372322 0.008864812 0.008987934 0.015390298 0.0072642206 0.008372322 0.014035951 0.011450382 0.00775671 0.012065994 0.011204137 0.009480423 0.0072642206 0.007633588 0.006648609 0.010219158 0.0071410984 0.0068948534 0.006771731 0.009972913 0.018222112 0.0082492 0.011204137 0.01391283 0.0176065 0.0093573015 0.006771731 0.015267176 0.012681605 0.009603546 0.0056636296 0.014651564 0.01034228 0.013666584 0.0125584835 0.014405319 0.006771731 0.0164984 0.0130509725 0.024131987 0.015144053 0.00775671 0.0071410984 0.011204137 0.008618567 0.006771731 0.0068948534 0.011204137 0.006032997 0.006156119 0.006771731 6.4978504 0.0 0.0 0.0 2.0 182170.0 495616.0 0.0 0.0 12.0 0.0 1.0 0.0 0.0 0.0 1155470600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 176128.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -174080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.92539 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.298364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176128.0 0.0 0.0 0.0 0.0 0.0 307200.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 748.0 493244.0 5820.0 487424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0