Input: 0.19737314 0.0037853883 0.003063176 0.002734445 0.0038351961 0.0018179826 0.0016287132 0.0016436555 0.0033171957 0.0016038093 0.00154404 0.0015888669 0.0024953678 0.00160879 0.0013149244 0.00231606 0.003551292 0.0016835016 0.0013298667 0.0012501744 0.0021467137 0.0013796744 0.0017283286 0.0014245014 0.0021467137 0.001434463 0.0011356166 0.001409559 0.002824099 0.001499213 0.0015141554 0.0013597513 0.002296137 0.0015041938 0.001499213 0.0015041938 0.002052079 0.0021815791 0.0014743091 0.0012700974 0.0021068675 0.0013547706 0.0013547706 0.0014892515 0.0023310024 0.0013746937 0.0014195207 0.0014593669 0.0061911023 0.0059022172 0.0057478133 0.0061163907 0.0062060445 0.00540414 0.005957006 0.0055436017 0.006360449 0.005648198 0.0013697129 0.0017482517 0.0019773673 0.0013946168 0.001389636 0.0012252704 0.008771143 0.0078497 0.0059022172 0.005244755 0.008975355 0.014758034 0.005010659 0.003068157 0.0027045603 0.0030382723 0.0016187517 0.0017133863 0.0027643298 0.005289582 0.003043253 0.0018926942 0.025103102 0.0018478673 0.0016187517 0.0023011176 0.0027643298 0.0026398103 0.0034915227 0.0021367522 0.003750523 0.0018279442 0.0015689438 0.001653617 0.0025302332 0.001743271 0.0015888669 0.003376965 0.0025053294 0.002978503 0.0022612715 0.0017233479 0.003949754 0.0027892336 0.002385791 0.0015689438 0.003660869 0.0018428864 0.0054091206 0.0016436555 0.0024206564 0.0017382902 0.0021118482 0.0020769828 0.0024754447 0.0015888669 0.003705696 0.0021317713 0.0032823302 0.0044428506 0.0024804256 0.0017183671 0.0024206564 0.0019773673 0.0016436555 0.001280059 0.0017930787 0.0014294822 0.0011405973 0.0013846552 0.0027693105 0.0014145399 0.001125655 0.003551292 0.0020570597 0.017641902 0.001280059 0.001280059 0.0019026557 0.008801028 0.0012950012 0.009921703 0.001942502 0.035219055 0.001389636 0.0012252704 0.0019225789 0.0013298667 0.0013796744 0.0012202897 0.0018926942 0.0023310024 0.0013348475 0.0011555396 0.0017283286 0.0012252704 0.0012999821 0.0011953858 0.0019076365 0.0020919251 0.0011854243 0.0013049628 0.002141733 0.0016585978 0.001190405 0.0011953858 0.0019026557 0.001808021 0.0011455781 0.001190405 0.0018727711 0.0012900205 0.0011306357 0.001324886 0.0017781364 0.0011605204 0.0013049628 0.0011854243 0.0019225789 0.0012153089 0.001190405 0.0013049628 0.001982348 0.00456737 0.001235232 0.001280059 0.0021018868 0.0011704819 0.0040543503 0.0012153089 0.0021666368 0.0018727711 0.0012501744 0.0016187517 0.003112984 0.0012153089 0.001524117 0.0018777519 0.0035612537 0.0012252704 0.001324886 0.003481561 0.0033520611 0.0014444245 0.0012103282 0.0012402128 0.0023559062 0.0013796744 0.0013199052 0.0012551551 0.005453948 0.0012501744 0.0016137708 0.001987329 0.0022861753 0.0012651166 0.0014294822 0.0013348475 0.002734445 0.0011505588 0.0012501744 0.0013846552 0.0025501563 0.0012053474 0.0014444245 0.0012551551 0.002799195 0.0011804434 0.0012451935 0.0011655012 0.0027942143 0.0011804434 0.0012651166 0.0012900205 0.022189349 0.0014145399 0.001190405 0.0014942322 0.0029685413 0.0013199052 0.0012651166 0.0012053474 0.0023708486 0.0011754627 0.0011455781 0.0014394438 0.0019375212 0.0012302513 0.001454386 0.0016884825 0.0023559062 0.0012252704 0.0011804434 0.0023210407 0.010021318 0.0068684877 0.015858784 0.09863925 0.03076923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048702923 0.0 0.0 2.5040065e-06 3.2552085e-05 5.2584135e-05 9.264824e-05 7.76242e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009319912 0.00012520033 9.264824e-05 3.0048077e-05 6.2600164e-05 3.0048077e-05 0.00013020834 8.513622e-05 0.00018279247 1.7528046e-05 2.0032052e-05 2.0032052e-05 2.2536058e-05 1.50240385e-05 4.0064104e-05 6.2600164e-05 0.0 0.0 0.0 0.0 0.0038461538 0.0012820513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044521233 5.7592148e-05 6.510417e-05 4.256811e-05 2.0032052e-05 1.7528046e-05 4.256811e-05 2.2536058e-05 0.00016025642 1.50240385e-05 1.7528046e-05 1.7528046e-05 1.7528046e-05 2.0032052e-05 9.264824e-05 6.7608176e-05 0.003961338 3.505609e-05 4.0064104e-05 4.256811e-05 2.0032052e-05 1.0016026e-05 1.50240385e-05 3.7560098e-05 4.256811e-05 7.5120192e-06 1.0016026e-05 1.7528046e-05 4.5072116e-05 1.0016026e-05 0.00012269632 0.00071113784 0.0033253205 4.0064104e-05 3.2552085e-05 5.7592148e-05 5.508814e-05 3.0048077e-05 0.000102664264 9.264824e-05 9.765625e-05 2.5040065e-06 2.5040065e-06 1.50240385e-05 7.5120195e-05 2.5040065e-06 9.765625e-05 0.0010992588 0.08465545 0.00064352964 0.0008238181 0.034177184 0.020910958 0.0032677283 0.0048652845 0.0040314505 7.76242e-05 8.012821e-05 5.008013e-05 2.5040064e-05 3.2552085e-05 2.2536058e-05 3.0048077e-05 0.0001527444 0.0143755 0.00033303286 0.00037309696 0.003921274 0.00545623 0.0016225962 0.0014147636 0.0016952123 0.00014022437 0.00015775241 0.000102664264 0.000102664264 0.00019030449 0.00022536058 0.00021033654 0.00044821715 0.010038562 0.00031550482 0.00037059296 0.0028420473 0.002276142 0.0008688902 0.0016776843 0.0013571715 1.2520032e-05 3.2552085e-05 9.5152245e-05 7.76242e-05 0.0001176883 6.510417e-05 0.00014773638 0.00021784856 0.0043269233 0.0002353766 0.0002729367 0.00037560097 0.00084134616 0.0006986178 0.0016100762 0.0010391626 0.00011268029 2.754407e-05 8.012821e-05 6.7608176e-05 0.00014022437 7.261619e-05 0.00016025642 0.0001953125 0.013837139 0.003873698 0.003988882 0.002766927 0.0061273035 0.010481771 0.0041616587 0.001567508 0.029679988 0.0026191906 0.0016100762 0.0042117387 0.00313752 0.0036032652 0.009835737 0.06260016 0.014315405 0.002351262 0.001993189 0.0032702324 0.006665665 0.0077423877 0.004334435 0.0029747596 0.01821915 0.0012119391 0.001174379 0.0028119993 0.0027894631 0.002358774 0.0058143027 0.03479317 0.0069185696 0.0012620193 0.0009915866 0.0013346354 0.008521134 0.0086889025 0.002774439 0.0025440706 0.016624099 0.0025365585 0.0020933494 0.003488081 0.0036533454 0.0028044872 0.0064578326 0.021614583 0.008661359 0.0016751803 0.0010466747 0.0026016627 0.008651342 0.007567107 0.0033653846 0.002819511 0.011460837 0.0013095953 0.0018454527 0.0029071514 0.0041716746 0.0039988984 0.0068334336 0.013136018 0.016969651 0.0169371 0.016649138 0.01704978 0.01659906 0.01720002 0.01653145 0.01659906 0.016486378 0.016614083 0.016291065 0.016541466 0.016646635 0.01655649 0.016368689 0.016626602 508.0 14.230315 7229.0 0.0037349565 0.002489971 0.0013833172 0.0012449855 0.0019366441 0.0013833172 0.0023516393 0.001521649 0.0023516393 0.002489971 0.0017983123 0.0016599806 0.0027666343 0.0027666343 0.0038732882 0.0026283027 0.00802324 0.009683221 0.010789874 0.008991562 0.008991562 0.0055332687 0.009406557 0.006916586 0.006363259 0.005948264 0.0019366441 0.003043298 0.002904966 0.0019366441 0.0012449855 0.0023516393 0.0035966246 0.05367271 0.0087148985 0.010928206 0.09046894 0.011481533 0.010651543 0.04260617 0.0019366441 0.04454281 0.001521649 0.003043298 0.0051182737 0.005948264 0.04108452 0.004426615 0.047309447 0.0019366441 0.003043298 0.008299903 0.0051182737 0.0051182737 0.010928206 0.0016599806 0.03942454 0.0020749758 0.0019366441 0.0033199613 0.003458293 0.0012449855 0.0017983123 0.04979942 0.002489971 0.0370729 0.024761377 0.0073315813 0.012311523 0.027666343 0.0051182737 0.0019366441 0.0037349565 0.013003182 0.005809932 0.0045649465 0.009959884 0.0070549175 0.011758196 0.016323144 0.00802324 0.0027666343 0.039562874 0.012449855 0.02171808 0.0076082447 0.026144695 0.00401162 0.0066399225 0.008438235 0.002904966 0.0026283027 0.0037349565 0.0017983123 0.0017983123 0.0022133074 5.6460123 1.0 0.0 0.0 5.0 200772.0 200704.0 1.0 0.0 98.0 0.0 1.0 0.0 0.0 0.0 1235838100.0 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 2.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 131072.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131072.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.55305 0.0 7.87306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129164.0 0.0 59256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 2.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 131092.0 59256.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 512.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13822657 0.008375248 0.004062152 0.0033225918 0.0060564307 0.0038317181 0.0019689433 0.001902588 0.007650165 0.0014658493 0.0016516442 0.0014610235 0.0044385674 0.0013319323 0.0011943957 0.0037750145 0.0059816306 0.0014610235 0.0011521697 0.0008698579 0.0023984432 0.0019243043 0.0007455925 0.00080229616 0.0022403968 0.0007335279 0.000807122 0.0006913018 0.0015708114 0.0005875462 0.0005778945 0.0005501459 0.0037774274 0.00057065574 0.00063459814 0.00052842963 0.004044055 0.0012824674 0.00045242262 0.0005465265 0.0011521697 0.0006358046 0.0005682428 0.0009181163 0.0010761627 0.0022802101 0.00065872737 0.0005043004 0.0075910487 0.003501148 0.0052215606 0.010727845 0.005315664 0.0028122591 0.0048306673 0.0024563533 0.0058320295 0.0029099823 0.00069612765 0.001444133 0.0016238956 0.00095069077 0.0004536291 0.0005151586 0.011472232 0.0038280988 0.0047763768 0.008602062 0.0037701887 0.031729907 0.0031850552 0.0026397354 0.003297256 0.0034577153 0.0021330218 0.0022946876 0.0026409416 0.0042756954 0.0011304533 0.0014923915 0.008828877 0.0020895894 0.0020039307 0.009508114 0.0031235258 0.0134858135 0.0031404162 0.0020425373 0.0018772524 0.0063483943 0.0026723098 0.0031766102 0.0015261724 0.0045194007 0.0023176104 0.0035132125 0.005618486 0.004665382 0.002555283 0.0036024905 0.009935201 0.006401479 0.004746215 0.0019822144 0.008551391 0.004529052 0.004500097 0.0017722902 0.0043118894 0.0020920022 0.00514676 0.004399961 0.004053707 0.0020196147 0.005604008 0.004196069 0.010813504 0.005852539 0.0026252577 0.0015020431 0.00366402 0.001231796 0.0005175715 0.00057548156 0.001611831 0.0024551468 0.0010363495 0.0008529675 0.005112979 0.0011292469 0.0010616852 0.008837322 0.0030438995 0.0031464486 0.0010086008 0.0006032302 0.0025963027 0.014810507 0.002177661 0.050439693 0.0011666472 0.010726639 0.00083607703 0.0006635532 0.0025902705 0.00043311928 0.0007093987 0.0006297723 0.001095466 0.0009132905 0.0014742946 0.0005537653 0.0011449308 0.00057427515 0.00048740997 0.0006949212 0.00093259383 0.00046448724 0.0004536291 0.00040899005 0.0008746838 0.003246585 0.00045483556 0.0024877212 0.0013886358 0.0007974703 0.0005501459 0.00044156448 0.0010206655 0.00044639033 0.00049706164 0.00047534538 0.0008264253 0.00043915157 0.00072387623 0.0006418369 0.001292119 0.000668379 0.001687838 0.0005236038 0.00085658685 0.0006539015 0.0006949212 0.0015406499 0.0030728546 0.0024720372 0.004536291 0.00080350257 0.0009760264 0.00046810662 0.0008324576 0.00069733406 0.011701459 0.0011208017 0.0022307453 0.010094454 0.0042503597 0.0010327301 0.00346978 0.0032851915 0.001824168 0.0017216189 0.000959136 0.0012704028 0.0016407861 0.0008710644 0.00096758123 0.0009193228 0.002803814 0.0011220081 0.002901537 0.0013198677 0.0017686709 0.0007492119 0.0015647791 0.0008541739 0.0032851915 0.00063821755 0.0010592722 0.0017433352 0.001459817 0.0007009535 0.00054893945 0.0008215995 0.00237914 0.0006418369 0.00085658685 0.00096637476 0.0023731075 0.002371901 0.00053687487 0.00067682425 0.026930608 0.005877875 0.0010665109 0.005754816 0.0063725235 0.001017046 0.0006635532 0.0007359408 0.0070650317 0.0009531037 0.0017722902 0.0008964 0.008913329 0.002117338 0.0039957967 0.0025299473 0.009820587 0.0029787505 0.002998054 0.0035240706 0.01452337 0.0038980735 0.004196069 0.06724207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017319481 0.0 0.0 0.00050459756 0.00023870185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021520633 0.0 0.0 0.010904746 0.0071785804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005018782 0.0 0.0 0.0036645266 0.0024553053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005372302 3.625851e-06 1.7524946e-05 6.526532e-05 0.00014503404 7.3725634e-05 6.043085e-06 7.251702e-06 1.5107712e-05 0.0 0.0 1.8129255e-06 7.856011e-06 3.0215424e-06 4.8344677e-06 0.0003492903 0.0059409565 0.00020063041 0.00020788211 0.0005366259 0.0018618744 0.00047559076 0.0023846012 0.0010375977 0.00018975286 9.789797e-05 9.004196e-05 7.312132e-05 0.0006544661 0.0003704411 0.00039038327 0.002814869 0.012982359 0.000624855 0.0009215704 0.0020280592 0.004023486 0.003516471 0.006788197 0.0031272965 0.0004423538 0.00022963723 0.00030275853 0.00032209643 0.0020292678 0.0010762734 0.001093194 0.008759451 0.020240104 0.0012696522 0.0012019696 0.0020250378 0.0071296315 0.002495794 0.0065204883 0.003173224 0.0023308177 0.00094997295 0.0009517858 0.0013016805 0.0039545945 0.00258221 0.0026057782 0.009336566 0.019708917 0.001522253 0.0012194945 0.002209956 0.009187906 0.0039413 0.0057360963 0.0033212793 0.0056641833 0.0013778233 0.001733761 0.002246819 0.0037648417 0.0017277179 0.0039425087 0.009427817 0.07217196 0.009572851 0.007099416 0.009830286 0.041015625 0.029841961 0.020774312 0.013605401 0.05019386 0.0051595857 0.0059046983 0.008915363 0.016370112 0.006897577 0.026758779 0.059551578 0.058759935 0.009878026 0.008891795 0.011381546 0.027421102 0.029845588 0.017231856 0.014247176 0.04858217 0.0057391175 0.006321671 0.008923219 0.02057489 0.010666044 0.02445999 0.0473234 0.00022782429 4.6531753e-05 8.399888e-05 5.076191e-05 8.822904e-05 9.668936e-05 4.230159e-05 6.40567e-05 0.00013113493 2.8402499e-05 3.263266e-05 2.8402499e-05 8.218595e-05 5.8617923e-05 7.13084e-05 0.00010454537 5347.0 20.347672 108799.0 0.0043015103 0.00010110387 0.0004411805 7.3530086e-05 0.0026470833 0.0004503718 0.00010110387 0.00013786892 0.00031250287 0.00032169413 0.00057904946 0.00045956305 0.00039522423 0.011259295 0.0008915523 0.00036765044 0.035367973 0.019853124 0.03602055 0.016222576 0.032353237 0.018198697 0.033731926 0.015386171 0.035129 0.018538773 0.00065257953 0.00040441548 0.0007536834 0.000422798 9.191261e-05 0.00011029513 0.0010753776 0.0067371945 0.005845642 0.011461502 0.005634243 0.012739087 0.003731652 0.002426493 0.0038879034 0.013897186 0.0019393561 0.0031526026 0.0053860787 0.0052665924 0.0035018704 0.0072794785 0.010193109 0.0020680337 0.004724308 0.016167428 0.010321786 0.004944898 0.0046599694 0.0027573784 0.0021967113 0.00422798 0.0012040552 0.002362154 0.0009191261 0.0022059027 0.0022978152 0.017527735 0.00020220774 0.026875246 0.016562652 0.02426493 0.02726128 0.044724677 0.015735438 0.011479885 0.021406448 0.030220866 0.012546071 0.008465151 0.025533322 0.012215186 0.03592864 0.030248439 0.02194873 0.004788647 0.036562838 0.025652809 0.038989328 0.0118843 0.014954181 0.007674703 0.017601265 0.0052757836 0.00082721346 0.00022978152 0.00043198926 0.00020220774 0.00023897279 0.00024816405 5.7163796 0.0 2.0 14.0 4.0 828871.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6189847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13144107 0.0035563859 0.002823964 0.0037274966 0.0031670346 0.0018444293 0.0013879925 0.0022023607 0.005886549 0.0006683084 0.0009200917 0.0009332541 0.0023127547 0.08409774 0.0013671875 0.0017514436 0.006313689 0.0030400816 0.001941661 0.0051044496 0.005143088 0.008016729 0.0006373132 0.00039954143 0.0008525815 0.00034986413 0.00033118206 0.00030273438 0.00079059106 0.0007595958 0.00035453466 0.00034264606 0.004101987 0.00029806385 0.0005748981 0.00034774118 0.001139606 0.0007651155 0.0009213655 0.0003014606 0.0011769701 0.0003914742 0.00021229619 0.00020974864 0.0011069124 0.00036982 0.0006262738 0.00020040761 0.00079908286 0.00053328805 0.00042798914 0.0012126359 0.000916695 0.0005086617 0.00033670178 0.00024286685 0.0020359205 0.00049337634 0.00038170855 0.0010996943 0.0007264776 0.0007018512 0.00022545856 0.0012177309 0.011618971 0.0036506455 0.0027411685 0.0012003226 0.0015204654 0.008537704 0.0006033458 0.08383534 0.0012236753 0.0009973675 0.0030477243 0.004530401 0.0015841542 0.007966627 0.00076638925 0.00069887907 0.011715778 0.005806301 0.0060546873 0.0020970618 0.0015387228 0.005234375 0.00222911 0.0017242697 0.0011816407 0.0002636719 0.0003341542 0.00054390286 0.0007209579 0.0018236244 0.001068699 0.00090013584 0.0010304857 0.0019628906 0.0015943444 0.0011319633 0.003200153 0.0030872112 0.0022091542 0.0009090523 0.005847062 0.0017111073 0.0045002545 0.00072775135 0.0022201936 0.0014521059 0.0018227751 0.0020945142 0.0019429348 0.0006920856 0.0021705164 0.001905146 0.0030931556 0.002180282 0.0011650815 0.0010873812 0.0015204654 0.00083856995 0.00053583557 0.00064920174 0.00091244903 0.003405231 0.00044794497 0.0005426291 0.0018512228 0.00070397416 0.0003226902 0.003623047 0.0014138926 0.0057111923 0.0003116508 0.00028150476 0.00094174594 0.010558339 0.00029254417 0.01662449 0.00083007815 0.016005859 0.04447563 0.0003579314 0.0029848844 0.00094599184 0.00081776496 0.00039189876 0.0010338825 0.0020431385 0.0005494226 0.00032099185 0.00085130776 0.0004908288 0.0002963655 0.00036302648 0.04501104 0.0010483186 0.0003740659 0.0026120923 0.0011332372 0.08840863 0.00028787364 0.0002398947 0.0012308933 0.00025772757 0.00020295517 0.00024838655 0.0026439368 0.00035113792 0.00024881115 0.00022333559 0.0009893003 0.0003074049 0.0002725883 0.00019828464 0.00088442594 0.00018851903 0.0002288553 0.00022333559 0.0011124321 0.0004950747 0.00028277852 0.00022588315 0.0015977412 0.0007931386 0.0006436821 0.00021993885 0.001351053 0.0007298743 0.00024159306 0.00033840013 0.0031275474 0.044469684 0.0005808424 0.0010780401 0.0029241678 0.0004080333 0.00046577785 0.003081267 0.0014873472 0.00040591034 0.00021824049 0.00028235395 0.0017565388 0.00031377378 0.00031674592 0.00032184104 0.0027305537 0.00032693613 0.00038425613 0.0012933085 0.0019420856 0.00025900136 0.0015323539 0.0016372283 0.0020826256 0.00042501697 0.00035878058 0.0024184783 0.002001104 0.00042119564 0.0050891642 0.0004394531 0.0068440046 0.0049180537 0.0022545855 0.00028702445 0.0015960428 0.00048063858 0.00039869227 0.00019701087 0.0029704485 0.0007018512 0.00026537024 0.00094429345 0.003416695 0.00024371603 0.00022673234 0.0005625849 0.0011472487 0.00025942596 0.00026494564 0.0006347656 0.0009935462 0.00036090353 0.0004173743 0.00065005093 0.0011523437 0.0006920856 0.00053583557 0.00069166103 0.0026660156 0.00085640285 0.0033759342 0.059449304 0.003038218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.1238854e-07 6.371656e-06 0.0004147948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.1238854e-07 1.9964522e-05 0.0007896606 1.869019e-05 6.371656e-07 4.2477708e-07 2.1238854e-07 2.1238854e-07 2.1238854e-07 5.7344905e-06 2.4212293e-05 2.1238854e-07 4.2477708e-07 2.1238854e-07 1.4867197e-06 8.283153e-06 1.6991083e-06 1.7628248e-05 0.0037573657 5.097325e-05 4.2690095e-05 5.097325e-06 0.00017394622 9.599962e-05 1.2530923e-05 1.9752135e-05 6.371656e-06 2.3999904e-05 1.444242e-05 6.1592677e-06 1.7840637e-05 9.557484e-06 8.070764e-06 0.000104919935 0.0050200154 7.476076e-05 0.00085295236 0.0003612729 0.00020070717 8.6866916e-05 2.7398122e-05 3.037156e-05 3.079634e-05 3.6106052e-05 2.336274e-05 1.741586e-05 2.2300797e-05 2.6548567e-05 1.8477804e-05 0.00013019418 0.0072205733 0.00019985762 0.0007939084 0.00059405074 0.00031454742 0.0001741586 0.000106619045 6.669e-05 6.562806e-05 4.1840543e-05 4.0141433e-05 5.2884745e-05 5.649535e-05 4.2477706e-05 6.4141335e-05 0.00017033561 0.0103545785 0.000529697 0.0006945105 0.00053989165 0.0005838561 0.00031051206 0.00017479577 0.00037486578 0.006291798 0.00624932 0.00017330905 0.00011638892 0.006266099 0.00014357465 0.00015971618 0.0005299094 0.033638947 0.0020699387 0.0007807403 0.00061401527 0.021326357 0.00052905985 0.001449127 0.0015001002 0.018869022 0.019012384 0.019957727 0.00021281332 0.018590156 0.0009627573 0.0016547191 0.0010678896 0.06992022 0.0036222865 0.0019178685 0.00071638654 0.05557316 0.001537693 0.006418382 0.004285576 0.015817424 0.015964821 0.052339334 0.00029776874 0.014776933 0.0020387175 0.0039472408 0.0052846516 0.016774235 0.000804103 0.0011647388 0.00080155436 0.006546877 0.00129111 0.0036826048 0.0033655087 0.004531097 0.0045861057 0.0046750964 0.0002814148 0.004225895 0.0018465059 0.0031323063 0.0036218618 0.017247012 0.0016007724 0.0008954301 0.0009136955 0.0075907665 0.0011957475 0.004114391 0.0028069268 0.0014172688 0.0021068943 0.0064646825 0.00061019225 0.001127146 0.0008083508 0.0007894482 0.0059876577 0.012551526 0.0013030036 0.0007777668 0.0010150048 0.0057674106 0.0010842435 0.0027937589 0.002142788 0.0010887036 0.0013962423 0.0049331486 0.00064587354 0.0012484199 0.0010247747 0.0011573052 0.0036972596 0.010857089 0.0012722074 0.00072020956 0.00084381964 0.0029515636 0.0015723123 0.0020994607 0.0015451267 0.0037093658 0.0016128785 0.0019762754 0.00097571296 0.001771108 0.0015699761 0.00228169 0.0064334613 0.026168816 0.009893695 0.0018709307 0.0020085585 0.014620614 0.014160793 0.0060811085 0.002568202 0.023692153 0.0039400198 0.0032790666 0.0028670328 0.0056497473 0.006106595 0.0051234486 0.02420932 0.029897934 0.0131557705 0.0021211244 0.0033198453 0.018687218 0.021106323 0.008413347 0.004277505 0.028706647 0.0050858557 0.0032867126 0.0033924822 0.007368608 0.008534834 0.007844783 0.022708794 0.00036191006 9.515006e-05 0.000108742934 0.00013125612 8.6866916e-05 5.7344907e-05 0.00013316762 0.00010598188 0.000100035 0.00010109694 0.00012021191 8.283153e-05 0.00013932688 0.00022768052 0.00013486673 0.00018838863 3435.0 12.37904 42522.0 0.05747613 0.005244344 0.017990688 0.007901792 0.012534688 0.011688068 0.019378204 0.0027044823 0.0047975164 0.0018108273 0.0023987582 0.0006114482 0.0038333097 0.0047975164 0.007525516 0.0016697239 0.0016932412 0.0049621374 0.0050091716 0.00425662 0.0029161375 0.002869103 0.0027985512 0.0014345516 0.030125583 0.0033864824 0.006796482 0.0027279996 0.0033864824 0.0011288275 0.0031277926 0.054418888 0.011311792 0.009289309 0.0074549643 0.016814826 0.01676779 0.005738206 0.0077371714 0.0056911716 0.002563379 0.0097361365 0.004726965 0.0016697239 0.008019378 0.007525516 0.00672593 0.0046799304 0.01328724 0.0021400687 0.0068905507 0.013263722 0.006514275 0.007219792 0.0060909647 0.0022341376 0.0052208267 0.0011053102 0.0013169653 0.0006349654 0.0024222755 0.0009171723 0.0034805513 0.015803585 0.0014580687 0.042730823 0.0165091 0.0171911 0.020554066 0.047716476 0.015803585 0.0077606887 0.018602135 0.021988617 0.010535723 0.005056206 0.025022341 0.021565307 0.022929307 0.0281031 0.009783171 0.0013639998 0.03245379 0.023117445 0.041601993 0.01192324 0.012793378 0.007784206 0.009148206 0.005526551 0.0013404826 0.00058793096 0.0017167584 0.006914068 0.0011758619 0.0008466206 5.88929 14.0 0.0 0.0 1.0 2355200.0 2412544.0 0.0 0.0 175.0 0.0 1.0 0.0 0.0 0.0 1536222000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 7.0 6.0 0.0 4.0 0.0 4.0 0.0 2228224.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2228224.0 0.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.567315 0.0 5.532802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2226896.0 0.0 117824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 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 -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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 -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 1.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 0.0 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 0.0 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 -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 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 2.0 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 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 1.0 0.0 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 -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 -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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2226980.0 117824.0 2293760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 1016.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.1626318 0.010900465 0.0066538667 0.00605386 0.01731433 0.0034696935 0.0029007217 0.002499338 0.011961856 0.0020917472 0.0021631273 0.003652799 0.0072466317 0.0026203739 0.00177933 0.00482695 0.009572174 0.0019665735 0.0013976017 0.0013789807 0.0064366227 0.0066321422 0.0016086384 0.001080012 0.0048538465 0.0014638093 0.0010375977 0.001245531 0.004383152 0.0011162192 0.00106346 0.0010582876 0.0072838734 0.000799664 0.0008741476 0.0011451851 0.030858962 0.00357935 0.00082656083 0.00081207795 0.003288657 0.0009475967 0.0007903536 0.0031976216 0.0028645145 0.0016820875 0.0012589794 0.0008720786 0.0031521039 0.0009744935 0.0011203572 0.005970066 0.0022748527 0.00106346 0.0011017363 0.0007634567 0.0022583008 0.0017524331 0.0014586368 0.008135262 0.0025458902 0.0013500149 0.00078518107 0.0013779462 0.0047235005 0.00319038 0.0019096762 0.0021889897 0.010440115 0.0030765857 0.0048321225 0.0020296776 0.0041234936 0.0018931243 0.010416321 0.0029379635 0.011980477 0.004012803 0.0032834846 0.0015631207 0.011714612 0.006782144 0.005070056 0.0043748757 0.006045584 0.0035410735 0.0062917937 0.004575568 0.0018403651 0.0014265674 0.0009010444 0.003581419 0.003182104 0.0033290023 0.0053617833 0.004176253 0.0016127764 0.0021010577 0.0009082859 0.0015103614 0.0047700526 0.0033983134 0.0030341714 0.0011213917 0.006060067 0.0021703688 0.0056110965 0.0011007017 0.0036848683 0.0010479426 0.002302784 0.0021693343 0.0022986461 0.00106346 0.0028169276 0.0028893421 0.011945304 0.007131803 0.001492775 0.0012931178 0.0017296743 0.0010789774 0.00084414723 0.0008482852 0.0030889995 0.0012403586 0.001785537 0.001325187 0.0023265774 0.0024734756 0.0007686292 0.012609449 0.0050907456 0.007255942 0.0016334663 0.0009227688 0.0029927916 0.019393662 0.0024672686 0.0490164 0.0019810563 0.013684289 0.0012796693 0.0009300103 0.02542166 0.00072311144 0.00068380067 0.0010955293 0.0019127798 0.000797595 0.0009858729 0.0007148355 0.0011762199 0.00086069916 0.0005896617 0.00064966234 0.0013200146 0.000797595 0.0009993213 0.00068069715 0.0012734623 0.0019386421 0.00059897214 0.0007044905 0.0012838072 0.0010903568 0.00059276517 0.00059483416 0.0011772544 0.0006558693 0.0006931111 0.0009941489 0.0012113927 0.00069414556 0.0010489771 0.00067035225 0.0012610484 0.00064966234 0.000617593 0.0006755247 0.0012465655 0.00069000764 0.0006206965 0.00072311144 0.0028696868 0.001785537 0.00073345634 0.0007313874 0.0012765658 0.0007479393 0.0011544955 0.0009744935 0.008801476 0.005750753 0.0050297105 0.0043221167 0.0069176625 0.0014307054 0.0034976248 0.004429704 0.0031872767 0.0021879552 0.0017545021 0.0017420882 0.00491902 0.0015124305 0.0027207197 0.0016531217 0.0019179522 0.0020048497 0.001501051 0.0014182915 0.0012300136 0.0011875993 0.0012755314 0.0014741542 0.0016924324 0.0011224261 0.0007882846 0.0012589794 0.0010562185 0.00087518204 0.00085863017 0.0009631141 0.0014151881 0.0012476 0.0009062169 0.0006775937 0.0011462196 0.00086276815 0.00080793997 0.0007396633 0.01230117 0.0037862486 0.0012848418 0.003699351 0.0022014035 0.0012020823 0.0009807005 0.0011017363 0.003213139 0.0024207165 0.0034107273 0.003730386 0.0026576156 0.0020089876 0.0026069253 0.0026069253 0.0036683164 0.0017131224 0.0013676013 0.0013055316 0.0020689883 0.0019469181 0.0029803778 0.02873618 0.009544008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009910607 9.320321e-06 1.5533868e-06 1.5533868e-06 5.177956e-06 3.6245692e-06 8.28473e-06 2.0711825e-06 1.9158437e-05 2.588978e-06 1.5533868e-06 3.1067736e-06 5.177956e-06 1.5533868e-06 2.588978e-06 2.0711825e-06 0.0009532617 5.177956e-07 2.3300801e-05 4.6601604e-06 8.28473e-06 8.28473e-06 1.294489e-05 8.28473e-06 1.39804815e-05 4.6601604e-06 3.1067736e-06 5.177956e-07 3.1067736e-06 4.6601604e-06 2.0711825e-06 8.802525e-06 0.0018350676 2.3818597e-05 2.5371985e-05 3.417451e-05 1.760505e-05 1.5016072e-05 2.2783006e-05 3.3656714e-05 1.0355912e-05 1.5016072e-05 1.294489e-05 1.6051663e-05 1.9676232e-05 9.320321e-06 1.5533868e-05 1.4498277e-05 0.0024450307 0.00020918943 0.0001879598 4.0905852e-05 7.611595e-05 2.1747415e-05 8.0258316e-05 4.5566012e-05 3.779908e-05 5.177956e-07 1.0355913e-06 1.0355913e-06 5.177956e-07 0.0 8.802525e-06 2.485419e-05 0.0031010779 0.0002697715 9.42388e-05 6.783122e-05 7.766934e-05 5.177956e-05 0.00012737772 9.7345575e-05 3.7281283e-05 2.692537e-05 2.588978e-05 2.8478758e-05 6.731343e-05 5.747531e-05 6.3171065e-05 4.815499e-05 0.016954182 0.0005152066 0.0010537141 0.00033708493 0.0016165578 0.00058666244 0.0017056187 0.0007818714 0.00016931916 0.00044375082 0.00015999885 0.00025527322 0.000281163 0.00011391503 0.0002231699 0.0013136475 0.024068175 0.00051054644 0.0027355142 0.0009801871 0.0024983638 0.001314683 0.00465084 0.002307815 0.0003086062 0.00044323303 0.00023766818 0.0002832342 0.00029980365 0.00042769915 0.00019469115 0.0011567554 0.01303654 0.00067520543 0.0017651652 0.0007678909 0.0017848414 0.0013410907 0.0039254082 0.0022405016 0.00033397815 0.00019469115 0.00026562915 0.00018744201 0.00025061308 0.00017346152 0.00021333179 0.00041578987 0.008205507 0.00020297588 0.0012023214 0.0009154626 0.0024315682 0.0014239379 0.0036421742 0.002437264 0.0005100287 0.00014808954 0.00015792766 0.00015792766 0.00037281282 0.00028789436 0.00032051548 0.0009133914 0.0021897575 0.00035676116 0.00014291158 0.00014705396 0.0003288002 0.00021902754 0.00042821697 0.00027443166 0.0003184443 0.00014550057 7.611595e-05 0.0001517141 0.00020556485 0.00021488518 0.00027494947 0.00088853727 0.0066189812 0.0008911262 0.0013586957 0.00084400683 0.0023041903 0.0015280148 0.0006047853 0.0008735212 0.004446311 0.0008341687 0.0003060172 0.0005695752 0.00307001 0.0003909357 0.0015585647 0.003493567 0.055600893 0.01157791 0.014284945 0.008249519 0.018470805 0.018405562 0.005907012 0.009093009 0.039946895 0.009180516 0.0023808242 0.0029441859 0.01601956 0.0036090354 0.008109197 0.015880791 0.0957663 0.024695743 0.03179006 0.017037028 0.0366009 0.04081938 0.014819828 0.018219674 0.07230653 0.021469358 0.0051484415 0.0056077265 0.032698274 0.0086901635 0.01682525 0.035766214 0.0073024714 0.0063595655 0.006436717 0.0066303727 0.0064211832 0.00649471 0.006652638 0.0064424127 0.0064662313 0.006501959 0.00642895 0.0065314737 0.0065827356 0.006629855 0.0065521854 0.006550632 3358.0 9.410661 31601.0 0.020822126 0.0012341382 0.0029113002 0.0015189393 0.056833643 0.0039872155 0.0011075599 0.0012657827 0.008069365 0.0025315655 0.0022151198 0.0018670295 0.0060441126 0.0047783297 0.007183317 0.0027530775 0.009683237 0.004461884 0.0058542453 0.005632733 0.0044302396 0.0017404512 0.0021518306 0.0017720958 0.0044935285 0.0055377996 0.003164457 0.005347932 0.004556818 0.0023416982 0.0027214328 0.013354008 0.039935444 0.013385653 0.0038289928 0.009525015 0.023954937 0.0070567387 0.0048732636 0.0076263407 0.0069934498 0.007563052 0.0010759153 0.001835385 0.022341065 0.0036074808 0.004809974 0.0034809024 0.03158128 0.022435999 0.02237271 0.016550109 0.019144963 0.013132496 0.020695549 0.0198095 0.004113794 0.004240372 0.004461884 0.009208569 0.0040821494 0.010569286 0.012056581 0.017910825 0.0027214328 0.025980191 0.0051897094 0.016328597 0.020948704 0.037435524 0.005917534 0.008354166 0.01905003 0.023670137 0.0062656244 0.0028163665 0.020885415 0.007183317 0.022404354 0.02417645 0.009873105 0.0017088067 0.026011836 0.026264992 0.044871997 0.011518623 0.004303661 0.0061074016 0.005664378 0.0047466853 0.002278409 0.0012974273 0.0035125471 0.0019936077 0.0018037404 0.0020885414 5.9733815 0.0 3.0 0.0 6.0 966656.0 1245184.0 1.0 0.0 492.0 0.0 1.0 1.0 0.0 0.0 1305715800.0 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 712704.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -712704.0 0.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5774164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1761765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.532233 0.0 7.634561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 66492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -343428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -711450.0 0.0 114688.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -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 0.0 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 -2.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 3.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 -2.0 1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -3.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 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 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 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 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 1.0 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 0.0 1.0 2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 1.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 1.0 0.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -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 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 1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 2.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 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 -1.0 1.0 1.0 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 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 1.0 1.0 0.0 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 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 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 1.0 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 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 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 -1.0 1.0 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 0.0 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 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 769512.0 35096.0 1130496.0 0.0 0.0 5464.0 888896.0 0.0 0.0 28.0 718864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2052.0 716800.0 0.0 0.0 0.0 0.0


Input: 0.21866156 0.031481557 0.027716324 0.014093809 0.02544369 0.008341171 0.024083994 0.008981149 0.009748916 0.005847714 0.017837573 0.004605586 0.004844811 0.005963237 0.00514742 0.002349309 0.0042048334 0.008469985 0.008174532 0.0051842234 0.0032315776 0.002452564 0.0051310626 0.003600638 0.0024075815 0.0015886972 0.0013474278 0.001737957 0.0015089556 0.0014261471 0.0023830456 0.0027664185 0.01620696 0.0011848777 0.0014874868 0.000892492 0.0010499305 0.0025128813 0.0016991085 0.00097530056 0.011855934 0.0010386849 0.0072309235 0.0023329516 0.004249816 0.0029228346 0.0031395683 0.0030291567 0.00458105 0.0023390856 0.001862681 0.0018514354 0.0011572749 0.0010662877 0.0010662877 0.0010192606 0.0015948311 0.0011766991 0.001316758 0.0007493662 0.005198536 0.0011225158 0.0050727897 0.00081581745 0.0010928683 0.0036619776 0.0018125869 0.0049562445 0.0035024944 0.0036118836 0.0017839618 0.0015743845 0.001369919 0.004439969 0.0017788501 0.0010703771 0.0030628936 0.0025159484 0.004056596 0.0027193916 0.0041649626 0.0019383332 0.005500123 0.006374213 0.0045953626 0.001850413 0.002437229 0.0027061012 0.0016531037 0.0012738202 0.0009446307 0.0011286497 0.001014149 0.0009896131 0.0005735258 0.0066850004 0.0006921158 0.015389098 0.0028073117 0.008056964 0.009560808 0.03191298 0.0031927293 0.0038071482 0.0030373354 0.013709414 0.0014844197 0.0016970639 0.009541384 0.0064662225 0.014832952 0.022314345 0.0066747773 0.00228388 0.018711662 0.015299133 0.020172568 0.006659442 0.0040361495 0.0020446554 0.002236853 0.0042539053 0.0019362886 0.01003619 0.0010621984 0.0050042938 0.0015242905 0.0005377443 0.0036200623 0.003010755 0.0021581335 0.0029943977 0.0010744664 0.00088942505 0.0020180747 0.00073403126 0.0005847714 0.0005316104 0.00047640468 0.00047333768 0.0011685205 0.000954854 0.0009988141 0.0007360759 0.000726875 0.0009814345 0.00070029445 0.0015886972 0.0006348655 0.0004631144 0.0005541016 0.00045595813 0.0004968512 0.0006256645 0.0010243723 0.0010008587 0.0009098716 0.0005101415 0.00048151633 0.00056841417 0.0007033614 0.00077492435 0.0013453831 0.0006103296 0.00081990677 0.0010233499 0.00057863747 0.00063793245 0.0007166517 0.00056330254 0.00047333768 0.00048662795 0.000776969 0.00053467735 0.0005592132 0.0007401652 0.0006001063 0.0006133966 0.00047027072 0.0006686023 0.0007094954 0.0006481557 0.0005183201 0.0010540198 0.00057863747 0.00056432484 0.00043142226 0.0014271694 0.0011654535 0.0006001063 0.0004661814 0.00048765028 0.00065531203 0.00054081134 0.00039768545 0.0007667457 0.00075652247 0.0009149832 0.0012492844 0.0006696246 0.00052445405 0.00049480656 0.00040177477 0.0005326327 0.00064202177 0.00048765028 0.00043551158 0.0006798479 0.0017635152 0.00068189256 0.00055614626 0.0004293776 0.00060828496 0.00052445405 0.0004631144 0.0004958289 0.0013637851 0.00047538235 0.0004324446 0.00046004745 0.00094156375 0.00063895475 0.0019925165 0.0006062403 0.0009160056 0.0004968512 0.00049378426 0.00047231535 0.00070540607 0.00050502986 0.0005152531 0.0004068864 0.0005029852 0.0008004825 0.0003179439 0.0004068864 0.0004252883 0.00043039993 0.00050502986 0.0005622802 0.0005612579 0.00038746218 0.00047538235 0.00046720373 0.00051116385 0.00051627547 0.0007289196 0.00051320845 0.00048969494 0.0006011287 0.000539789 0.0004293776 0.0007370982 0.00044471252 0.0014568169 0.0012206592 0.0020728922 1.0236504e-05 1.0236504e-06 0.0 2.0473008e-06 0.0 1.0236504e-06 0.0 2.0473008e-06 2.0473008e-06 1.0236504e-06 0.0 0.0 0.0 2.0473008e-06 2.0473008e-06 0.001007272 1.1260155e-05 1.0236504e-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 2.8662213e-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 0.00091872626 1.4842931e-05 3.5827766e-06 5.118252e-06 1.3307455e-05 8.189203e-06 3.531594e-05 1.6378406e-05 1.5354756e-06 0.0 0.0 1.0236504e-06 0.0 0.0 1.0236504e-06 2.9174036e-05 0.0034942308 1.0748329e-05 1.1260155e-05 1.8425708e-05 1.279563e-05 0.00020984834 3.1221338e-05 1.3819281e-05 2.252031e-05 1.0236504e-06 4.2481493e-05 2.6103085e-05 7.165553e-06 0.00014075193 3.7875066e-05 0.00011260155 0.007677378 2.0473008e-05 0.00017094961 6.602545e-05 0.0012718857 0.0010942823 4.0946015e-05 3.531594e-05 5.4253473e-05 0.00018118613 0.000103388695 7.3191004e-05 0.00013563369 0.00029737045 1.1260155e-05 0.00029685863 0.026781766 0.00053895195 0.00074009923 0.00047139102 0.0041862186 0.0033611562 0.004816787 0.0023098672 0.00051694346 0.0004964704 0.0005686378 0.0005665905 0.00063671055 0.0012990123 0.00039308175 0.0005343455 0.023833653 0.00035367123 0.0040772 0.0007590368 0.011082551 0.011011919 0.06717143 0.033621285 0.00014484653 0.00012437353 0.00015354756 0.00016122495 0.00014075193 0.00017657969 9.5711315e-05 0.0001320509 0.083095334 0.008604294 0.012421998 0.004577765 0.0054867663 0.005259004 0.02024934 0.014289136 0.0016910705 0.0008347869 0.0011444412 0.00082608586 0.00078206894 0.001221215 0.00078258076 0.0012079075 0.1592836 0.028579297 0.029826103 0.014569105 0.012008955 0.010429462 0.037815183 0.031786904 0.0073196124 0.0030883532 0.0033836765 0.003297178 0.0021276574 0.0039195577 0.0024199097 0.0033949367 0.06823449 0.01133181 0.009090016 0.006328207 0.0045997733 0.0070058634 0.0129481545 0.013111938 0.0078119882 0.0040833415 0.0029834292 0.003306391 0.0035223812 0.0025821582 0.0024874706 0.0019981656 0.024503632 0.0035095855 0.0019930473 0.0020744277 0.0018830049 0.0023871528 0.002421957 0.0036349827 0.0020867113 0.0017007951 0.0017274101 0.0015068135 0.0015825635 0.0013368875 0.001045659 0.001112708 0.010801047 0.0013445648 0.0020708449 0.0012601137 0.0013737389 0.0020211977 0.0009397111 0.0022525426 0.0018758394 0.0005763152 0.0005235972 0.0006454116 0.00063619873 0.0008757329 0.0005497003 0.00055533036 0.0003347337 0.00011516067 0.00012539717 7.5238306e-05 6.09072e-05 3.2756812e-05 2.3032135e-05 2.8150387e-05 2.4055786e-05 4.606427e-05 3.3780463e-05 2.8150387e-05 3.3780463e-05 3.0709514e-05 2.9685862e-05 2.661491e-05 0.0017509541 0.00063978153 0.0006899404 0.0010082957 0.0005374165 0.0005276918 0.0011940883 0.0007795098 0.0004324923 0.00025079434 0.00030300053 0.0002436288 0.00025437714 0.00026768458 0.00025898355 0.00029532315 0.0014024011 0.00053229823 0.00058911083 0.0007324219 0.00047958022 0.0004708792 0.00091872626 0.0006607663 0.000418673 0.00031733164 0.00035264756 0.0003024887 0.0002784329 0.00027689745 0.00032142623 0.00033166274 10097.0 24.694365 249339.0 0.046446804 9.6254495e-05 0.0016924749 0.0001965196 0.00022058323 0.00010427571 0.00012432873 0.0012793827 0.00092644955 0.001155054 0.00066576025 0.00016844537 0.001953164 0.0004933043 0.0059196516 0.008807287 0.0050613824 0.0032044726 0.0023141184 0.0014598599 0.0011189586 0.0010106722 0.0006858133 0.0008582693 0.00084623747 0.0010908843 0.0010708313 0.00018047717 0.017241586 0.0018649308 0.017281692 0.00010427571 0.00083420565 0.009136156 0.0038622117 0.014783086 0.008907552 0.009661545 0.004339474 0.002835497 0.0021135884 0.01268554 0.00014438175 0.0011710963 0.006966419 0.005987832 0.010535857 0.006485147 0.008558629 0.0017967506 0.016126638 0.016980898 0.013339269 0.0035814694 0.0028435183 0.0082939295 0.0011791176 0.0007138875 0.0003007953 0.00018047717 0.0002967847 0.00022459382 6.416967e-05 0.018897966 0.00026469986 0.049847797 0.007848752 0.025619738 0.030961864 0.11027958 0.008650873 0.011706953 0.00869499 0.041938886 0.0004852831 0.0039223707 0.029622322 0.019948745 0.04734518 0.048147302 0.013792467 0.0025306912 0.056152467 0.046647336 0.062445104 0.018845828 0.011743048 0.0029798788 0.0049170004 0.011518455 0.001215213 0.0011470327 0.000100265104 0.0011430222 2.4063624e-05 4.010604e-05 5.26293 2.0 22.0 0.0 2.0 978160.0 991232.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1539502000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 959488.0 512.0 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 -959488.0 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 -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 -6.101328 0.0 3.470571 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 -959076.0 0.0 1392.0 0.0 0.0 0.0 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 79.0 962339.0 1392.0 974848.0 0.0 0.0 16112.0 962048.0 12.0 983040.0 56.0 961960.0 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: 0.31446272 0.0039354097 0.0023437375 0.0025864677 0.0027177806 0.0018025689 0.0017389021 0.0016951311 0.0031515113 0.0015200471 0.0015717765 0.0015956515 0.0021845703 0.0015598389 0.0013091505 0.0028093017 0.0024273004 0.0013250672 0.0011937543 0.0012614004 0.0014205676 0.0025029047 0.0010982539 0.001364859 0.002045299 0.0023039458 0.03459102 0.0017866523 0.0020094863 0.0013569007 0.0014126092 0.001977653 0.0021010076 0.0017389021 0.0016354433 0.0010902956 0.0018145065 0.0013807758 0.001364859 0.0010664205 0.0015598389 0.0010306078 0.0012454836 0.0014722969 0.0011101915 0.0012295669 0.0016951311 0.0013250672 0.0023477168 0.0013171089 0.0013807758 0.002025403 0.0012614004 0.0016632976 0.0013171089 0.001977653 0.0011778376 0.0017826731 0.0012056918 0.0016553393 0.0014683178 0.0014921929 0.0013171089 0.0015558597 0.0043611825 0.0022044661 0.0025148424 0.0015996307 0.0015558597 0.0033345537 0.0013767966 0.0012614004 0.0013767966 0.001321088 0.0011300874 0.0014643386 0.0012932338 0.0018224649 0.0010982539 0.0012017126 0.0026660513 0.0012494628 0.0011818167 0.0023357791 0.0011818167 0.0014842345 0.0021606951 0.0020970283 0.001384755 0.0011181498 0.001010712 0.0012056918 0.0013370048 0.0014563802 0.0013966925 0.0014245468 0.001671256 0.0021248825 0.0013131297 0.0016473809 0.0016075891 0.0030321358 0.0016195267 0.0013807758 0.0022800707 0.002176612 0.0023198624 0.0013489423 0.0023357791 0.0016632976 0.0018901109 0.0022044661 0.0021010076 0.0016792143 0.0026461554 0.0029565315 0.004926226 0.03710984 0.0027217597 0.00208907 0.0023835294 0.0022482371 0.0019100069 0.0018741942 0.0019736737 0.0022760916 0.0016434017 0.0025387174 0.0026302387 0.0017627771 0.0016235058 0.0024949464 0.0021487577 0.0021805912 0.0015160679 0.0014165884 0.0015041304 0.0023676127 0.0012415044 0.0038120553 0.0012375253 0.0017508396 0.0012335461 0.0011101915 0.0016155475 0.0010942748 0.001321088 0.0011300874 0.0013807758 0.0011738584 0.0012415044 0.0011937543 0.001384755 0.0011818167 0.0011579416 0.0012017126 0.0015518806 0.0010902956 0.0016075891 0.0013887341 0.0014444427 0.0012375253 0.0010664205 0.0014285259 0.0011778376 0.0012017126 0.0010505038 0.0010584621 0.0015160679 0.0012454836 0.0012415044 0.001078358 0.0013290464 0.001384755 0.0011659 0.0014404635 0.0014205676 0.00094704505 0.0010266287 0.001321088 0.0011579416 0.0011380458 0.0015518806 0.0014046509 0.0016553393 0.0016632976 0.0021845703 0.0021209035 0.0360474 0.0031395738 0.0022283413 0.0032271158 0.0037125759 0.0022959874 0.0019259235 0.0018821526 0.0019975489 0.0013330256 0.0018105273 0.0019975489 0.002443217 0.0016115683 0.0017110478 0.0013489423 0.0017627771 0.001627485 0.0013290464 0.0018463399 0.0018145065 0.0015439222 0.0015996307 0.0016593185 0.001758798 0.0015876932 0.0017747147 0.0016235058 0.0016672768 0.0014643386 0.0013529215 0.0017667563 0.0016871727 0.0014046509 0.001340984 0.0015120887 0.002506884 0.0019060277 0.0014364843 0.0012932338 0.001340984 0.0013608799 0.0020134656 0.0016911519 0.0038080763 0.002200487 0.0013529215 0.0023238417 0.0021288618 0.0021885496 0.0015996307 0.001496172 0.002570551 0.0018383816 0.0019060277 0.0016473809 0.001913986 0.0017468604 0.0027973643 0.0018821526 0.0029883648 0.002813281 0.002638197 0.0027416556 0.0034897416 0.0031395738 0.0031117194 0.1307161 0.012183017 2.8016137e-05 0.0 0.0 0.0 0.0 0.0 2.8016137e-05 4.002305e-06 0.0 0.0 2.8016137e-05 0.0 0.0 2.4013832e-05 0.0 0.015703045 0.00014208184 2.2012679e-05 6.603804e-05 8.00461e-06 4.002305e-06 8.00461e-06 0.00014608414 2.2012679e-05 8.00461e-06 1.8010374e-05 0.00013407723 6.003458e-06 1.2006916e-05 4.4025357e-05 5.0028815e-05 0.0072501763 1.600922e-05 0.0 1.8010374e-05 0.0 0.0 0.0 1.4008068e-05 4.002305e-06 2.0011526e-06 0.0 0.0 4.002305e-06 0.0 6.003458e-06 0.00088250835 0.041605964 0.0008344807 4.0023053e-05 0.000110063396 0.0 1.2006916e-05 2.6014985e-05 0.0009005187 5.8033427e-05 4.4025357e-05 0.00012807376 0.00092453253 0.00012607261 0.00010005763 0.00028216254 0.003988297 0.03295298 0.000550317 0.00010005763 0.00015008645 3.80219e-05 3.201844e-05 5.202997e-05 0.00067438843 0.00016809683 8.8050714e-05 9.805648e-05 0.00063236424 0.00027615906 0.00012407146 0.00030217404 0.0047447328 0.012102971 0.0003722144 5.4031123e-05 0.00010205879 2.2012679e-05 2.6014985e-05 3.4019595e-05 0.0004222432 6.603804e-05 5.4031123e-05 4.4025357e-05 0.00040023052 0.000114065704 4.2024207e-05 0.000108062246 0.0024293994 0.014748495 0.00043024783 0.00020811988 0.00017209913 0.00032618787 0.00015008645 0.00034820056 0.0005823354 0.00019211066 0.0002241291 0.00013007493 0.00047027087 0.00014208184 0.00016209336 0.00014208184 0.0020631885 0.022316854 0.0011446594 0.00035220286 0.00028216254 0.0002701556 0.00025614753 0.00049628585 0.0014228196 0.00037821784 0.00013607838 0.00018810834 0.0012427157 0.00039822937 0.00023813717 0.00029016714 0.0033739435 0.014434314 0.0010025775 0.00021212218 0.00024013832 8.6049564e-05 6.003458e-05 0.00014208184 0.0014208184 0.0001480853 0.000144083 0.00013207608 0.0013447746 0.00037821784 0.0003461994 0.00041623975 0.0040823515 0.06383877 0.020577854 0.0013287654 0.0011126408 0.001730997 0.0010005763 0.005058914 0.02423596 0.0009525487 0.0009585521 0.00092253136 0.02223681 0.0023833727 0.0021452357 0.0027776 0.07005035 0.032628793 0.008861104 0.0007444288 0.00061835616 0.0011946881 0.0007324219 0.0026435226 0.011698739 0.00092253136 0.000878506 0.00076844264 0.010389985 0.0023133324 0.0016109279 0.001861072 0.028690526 0.021210218 0.0037441566 0.0010666144 0.0008324795 0.0010065798 0.00062235846 0.0008364818 0.0061455397 0.0013287654 0.0008544922 0.00078445184 0.005321065 0.002385374 0.0018070409 0.0020471793 0.0155809745 0.006501745 0.0011506628 0.0005202997 0.0008484887 0.00040823515 0.00038222017 0.0012086962 0.0024013831 0.00065237575 0.0004262455 0.00040823515 0.0017349994 0.0014308242 0.000970559 0.0010646132 0.004480581 0.015504931 0.0023133324 0.0013387711 0.0020691918 0.004002305 0.0028476403 0.0018910893 0.0033999584 0.0043465034 0.0009725602 0.0009465452 0.0010045787 0.002359359 0.0014348264 0.0029136783 0.0059334175 0.012521212 0.0027796011 0.001991147 0.00262151 0.0047447328 0.0039262613 0.0017850281 0.0039282627 0.0047387294 0.0006803919 0.00076043804 0.00077244494 0.002557473 0.0010686155 0.0027095608 0.005693279 0.021638464 0.016235352 0.014724481 0.015576973 0.014994637 0.014512359 0.015945185 0.015841125 0.015949186 0.015114706 0.014610415 0.01567703 0.015697042 0.015344839 0.015612993 0.016623575 526.0 11.302281 5945.0 0.014634146 0.0028595459 0.0102607235 0.0018502944 0.004541632 0.004373423 0.0016820858 0.0033641716 0.0030277544 0.0028595459 0.004878049 0.0038687973 0.0021867114 0.0057190917 0.0099243065 0.0060555087 0.0062237172 0.004878049 0.0057190917 0.0057190917 0.0047098403 0.004878049 0.005214466 0.0050462573 0.004373423 0.004373423 0.004037006 0.0030277544 0.0068965517 0.007905804 0.00706476 0.003195963 0.0033641716 0.021698907 0.004878049 0.013624894 0.010092515 0.0112699745 0.009251472 0.0105971405 0.0068965517 0.0105971405 0.0016820858 0.0033641716 0.009419681 0.008074012 0.0047098403 0.0065601347 0.011942809 0.0038687973 0.0077375947 0.019175777 0.0068965517 0.004878049 0.0072329687 0.0105971405 0.0038687973 0.003195963 0.0013456687 0.0023549201 0.0047098403 0.0028595459 0.0028595459 0.004037006 0.004037006 0.035323802 0.008915055 0.019680403 0.025735913 0.08174937 0.0109335575 0.013288477 0.0099243065 0.039865434 0.0050462573 0.0057190917 0.034650967 0.016989067 0.03448276 0.0391926 0.015138772 0.0025231286 0.03902439 0.0333053 0.050294366 0.016820857 0.0077375947 0.008915055 0.0111017665 0.0111017665 0.0026913374 0.0033641716 0.0011774601 0.0038687973 0.0037005888 0.0047098403 5.9278765 0.0 1.0 0.0 1.0 251308.0 393216.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1469408100.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 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 5.3057513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.220595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.480156 0.0 5.018288 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4678.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24005.0 0.0 208712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 0.0 -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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 29736.0 208712.0 184320.0 0.0 0.0 6896.0 8650608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0