Input: 0.38058785 0.0063319523 0.002223426 0.0021946535 0.004710766 0.0018801393 0.0014336683 0.0024714656 0.004980633 0.002561752 0.014522216 0.0015557037 0.0017700099 0.0017809236 0.0021966377 0.0017392529 0.00262525 0.0013185779 0.0011469346 0.0008810363 0.0011072484 0.0020378926 0.001902959 0.0018821236 0.0007183224 0.0007838048 0.0009931502 0.0006637537 0.0011608248 0.0005744595 0.0006310125 0.0036045099 0.0035410118 0.00096437754 0.0010645855 0.0007113773 0.0007153459 0.0012689701 0.0011528876 0.0006290282 0.0017005588 0.0011260993 0.0046214717 0.001576539 0.0010377973 0.0010467267 0.0013959663 0.00078082836 0.0020021747 0.0023385163 0.0014515271 0.0036064943 0.00097132265 0.0015745547 0.0017352843 0.0010824443 0.00092667557 0.001023907 0.0011062562 0.00079372636 0.00108046 0.0009336207 0.0008016637 0.003485451 0.00121837 0.0011419739 0.00077983615 0.0010715306 0.0011826523 0.00083539705 0.00085623236 0.0007996793 0.0015943978 0.0022760103 0.0011955503 0.0007441185 0.0019108963 0.0014783154 0.0017967981 0.0015308998 0.0022779948 0.0011876131 0.0012878211 0.0015041115 0.0011707464 0.01145744 0.0009812443 0.001086413 0.0008949265 0.0011509033 0.00097628345 0.001256072 0.0010516875 0.000929652 0.0014832761 0.0038227846 0.0014525193 0.0018096962 0.001476331 0.0020626965 0.0017610805 0.0027333952 0.004175001 0.0014058879 0.0020746023 0.0015279233 0.00083242054 0.0013711624 0.001513041 0.001148919 0.0016082881 0.0014376369 0.0012650015 0.0008740912 0.0026143363 0.0018037432 0.0015745547 0.0011221307 0.0011687621 0.0010308521 0.0015150253 0.001495182 0.0011975347 0.00095346384 0.0012828603 0.0010050561 0.0011181621 0.011894982 0.0066415058 0.0015477665 0.0017174254 0.001444582 0.0010754992 0.0010556561 0.0017243705 0.0015358606 0.0012630171 0.0013771153 0.00085127156 0.0016301156 0.0010774835 0.0008681382 0.0011389974 0.001161817 0.0013790996 0.00102986 0.0012898054 0.00097926 0.001431684 0.0011181621 0.0013949741 0.0012203543 0.0016132488 0.005030241 0.0010626012 0.0008383735 0.0011439582 0.0010526796 0.0009832286 0.0037047178 0.0018116805 0.0011181621 0.0012441662 0.0013106407 0.0018176334 0.0010745071 0.0012272994 0.0010606169 0.0014326761 0.0013681859 0.01081353 0.0018364844 0.0013384211 0.001142966 0.0017233784 0.0028177286 0.0015934057 0.0013949741 0.0018245785 0.0014912135 0.0013404054 0.0009941423 0.0015993586 0.009600121 0.0014624408 0.002260136 0.000980252 0.0011330444 0.0011757072 0.0015814998 0.0010685541 0.00408273 0.0032106233 0.0013493348 0.0013265152 0.0017402451 0.0012401975 0.0008840128 0.0011370131 0.001431684 0.0011707464 0.0010338286 0.0011042719 0.0014177938 0.004790139 0.0013761232 0.0013165936 0.0014693859 0.0016231705 0.0011370131 0.0012580564 0.0011558641 0.0051026684 0.0010229149 0.0009832286 0.0032086389 0.0012153935 0.0012322603 0.0011568562 0.00092369906 0.0014773232 0.001224323 0.001350327 0.004086699 0.0017967981 0.0012739309 0.0015189939 0.0016182096 0.0019059355 0.0016072959 0.0016172176 0.0013175858 0.0017511589 0.0013463583 0.00149419 0.0013999349 0.0020101122 0.0015686018 0.0014981586 0.0016539274 0.008492872 0.001620194 0.001463433 0.0015725704 0.0017045274 0.014086659 0.0017729863 0.0026907325 0.0025379402 0.0017432215 0.001960504 0.0027165285 0.002970521 0.0029477014 0.003962679 0.13365956 0.049817104 3.4770792e-06 3.4770792e-06 9.934512e-07 1.2914865e-05 4.967256e-07 2.9803534e-06 5.4639813e-06 1.4901767e-06 9.934512e-07 3.9738047e-06 0.0 1.9869024e-06 1.9869024e-06 9.4377865e-06 0.0020152158 0.0058295713 3.7751146e-05 1.9869023e-05 8.9410605e-06 1.3908317e-05 4.967256e-07 9.4377865e-06 8.4443345e-06 1.6888669e-05 7.450884e-06 1.5398493e-05 1.0431238e-05 2.5333005e-05 3.1790438e-05 1.8378847e-05 0.0010669666 0.02252899 8.593353e-05 0.00010232547 0.000101828744 7.947609e-05 6.7057954e-05 0.00023942173 0.00033876684 0.00034770792 0.00019769678 8.74237e-05 9.139751e-05 9.785494e-05 6.20907e-05 7.748919e-05 0.003978772 0.011901048 0.00014901768 7.401211e-05 5.1162737e-05 4.1228224e-05 7.351539e-05 0.00011772396 0.00017584086 0.00012964538 0.00010530582 0.0001534882 0.00017137032 0.00011275671 0.0002329643 9.437786e-05 0.00371054 0.019815378 0.0003184011 0.0004927518 0.00021408872 0.000101828744 0.0001455406 0.0003958903 0.00048480416 0.0002910812 0.00029008774 0.00031194367 0.0021200248 0.00023147413 0.00022352651 0.00026475472 0.0048172446 0.020979702 0.00054441125 0.00043761524 0.00023594465 0.0001495144 0.0002349512 0.00030051896 0.0007018733 0.000238925 0.00030399606 0.0004256938 0.001006366 0.0008523811 0.0004584777 0.0003437341 0.0053393035 0.043557867 0.0019426937 0.0010252416 0.0006616385 0.0007381342 0.00068945513 0.0012378402 0.0009790461 0.0008911257 0.0007570098 0.00075055234 0.00062637095 0.0011514099 0.00061792665 0.0019928631 0.0054530534 0.025425395 0.0009860003 0.00044705303 0.00035416533 0.00050020264 0.0005473916 0.00083598914 0.0015810776 0.0009065242 0.000696906 0.0008643025 0.0009725887 0.0009090078 0.0009815297 0.0010615026 0.007691299 0.029886985 0.0012457877 0.00096315093 0.0010103398 0.0011668084 0.0014583863 0.0013416559 0.0019183542 0.0011653182 0.0010818683 0.0014107006 0.0026023453 0.0008886421 0.00092887686 0.0011325344 0.0118185915 0.0450088 0.0016973113 0.0017380428 0.0019655433 0.0019282887 0.002644567 0.002718579 0.0036678216 0.0024384258 0.0024831311 0.0029753863 0.0043632374 0.002380309 0.0019407069 0.0019541185 0.02182513 0.05283819 0.0027593106 0.0030960906 0.0042092525 0.0028586558 0.0048594666 0.0041243127 0.004389067 0.0039266157 0.0038108786 0.00463743 0.0053681135 0.0038943286 0.003853597 0.0038347214 0.032943834 0.055557765 0.0039539356 0.0044447007 0.004862447 0.0035431436 0.008025595 0.0044069495 0.0055961106 0.004827179 0.005180848 0.0080101965 0.006398322 0.0049568247 0.00750304 0.004410923 0.04634847 0.033393867 0.0019287855 0.0036732857 0.0038560808 0.0024428964 0.0061966516 0.004228625 0.004543052 0.0035977834 0.0037641865 0.006285069 0.0032858397 0.0033951194 0.00477701 0.0031472533 0.024404127 0.009062261 0.0007669443 0.0014524256 0.0016526061 0.001473288 0.0024587917 0.0025730385 0.0020062746 0.0017370493 0.0016938342 0.002211919 0.0015433264 0.0015358755 0.0016451551 0.0017300952 0.008166169 0.0013744397 0.00035068826 0.0003904263 0.000548385 0.00041228224 0.00050367974 0.0007013765 0.0005588163 0.00047089584 0.0003362832 0.00037403437 0.0003243618 0.00034274065 0.00022948722 0.00025134315 0.0009691116 0.00595723 0.0052359845 0.0049483804 0.005154025 0.004929008 0.0046021626 0.005099385 0.004938446 0.0051013716 0.0045693787 0.004635443 0.0046965405 0.005215122 0.004668227 0.0050531896 0.005562333 2716.0 8.941458 24285.0 0.018365245 0.010459132 0.0072884494 0.0028824378 0.0067531397 0.0038295244 0.008812024 0.0051472103 0.008770846 0.0051060324 0.018447602 0.020547664 0.010912086 0.007535516 0.013341568 0.0072884494 0.012559193 0.013506279 0.0076178713 0.003870702 0.0061766524 0.0053530987 0.015482808 0.0076178713 0.006259008 0.0056001646 0.0066296067 0.0044471896 0.010541487 0.0061354744 0.004241301 0.002594194 0.0038295244 0.006382541 0.0030059707 0.007411983 0.007494338 0.0048589665 0.0044471896 0.005311921 0.003335392 0.010994441 0.0038295244 0.0046942555 0.035742227 0.01741816 0.016100474 0.014412189 0.0130121475 0.006588429 0.00975911 0.010047355 0.007123739 0.04867202 0.0067531397 0.0063001853 0.0064648963 0.010953263 0.011076797 0.011776817 0.0061354744 0.005806053 0.011694462 0.0142063005 0.0069178506 0.008564957 0.008441425 0.01190035 0.015523986 0.02112415 0.0083178915 0.009470867 0.00905909 0.013300391 0.004488367 0.008935557 0.0069178506 0.0064648963 0.012229771 0.013876879 0.011241507 0.004241301 0.0333951 0.013176858 0.011323863 0.008812024 0.0056001646 0.004900144 0.018159358 0.01527692 0.007494338 0.0064237183 0.0067531397 0.006670784 0.0070413835 0.064196005 6.246854 0.0 7.0 0.0 8.0 1007904.0 1011712.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1157661700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 2.0 7.0 10.0 5.0 2.0 4.0 10.0 512.0 1024.0 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 -512.0 0.0 998912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.54356444 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.813164 0.0 5.085773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -200.0 0.0 998696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 4240.0 0.0 0.0 950432.0 8192.0 0.0 0.0 6944.0 1000960.0 8.0 1007616.0 28.0 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


Input: 0.28646967 0.010644549 0.0061344393 0.0061862795 0.007205806 0.0038707447 0.0025574563 0.0025401763 0.0102643855 0.002160014 0.0022809745 0.0021081734 0.0066528427 0.002350095 0.0018144116 0.007672369 0.011733195 0.0019008121 0.0010713668 0.0009676862 0.0043545878 0.00781061 0.00067392434 0.00036288233 0.002816658 0.0007430448 0.00070848456 0.0010540867 0.002160014 0.00091584586 0.0007603249 0.0011232072 0.00777605 0.0007430448 0.0014860895 0.00091584586 0.008259892 0.00155521 0.00062208396 0.00062208396 0.0016416105 0.0006566442 0.0008121652 0.0020908935 0.0010713668 0.0011750475 0.0019353724 0.00086400553 0.0025920165 0.0012441679 0.0010540867 0.005598756 0.0020736132 0.0031277 0.0011404873 0.00063936407 0.002039053 0.0037325039 0.0013824089 0.0053222743 0.0017798514 0.0027475376 0.0028512182 0.0008467254 0.016381545 0.0025401763 0.0029030587 0.0072230864 0.005477795 0.011059271 0.0038189045 0.0018489718 0.0017452912 0.0017971315 0.00058752374 0.00046656298 0.0020563332 0.003939865 0.0029376189 0.0026611371 0.011249352 0.002039053 0.0015897702 0.007655089 0.0026265767 0.003939865 0.006739243 0.008380854 0.00089856575 0.0013651288 0.00039744255 0.0013132883 0.0016070503 0.002350095 0.0024019354 0.0017625713 0.00070848456 0.005460515 0.0012268878 0.0032313806 0.004527389 0.012337999 0.0046137897 0.0021254537 0.007620529 0.0069293245 0.00777605 0.0007430448 0.0066701225 0.002505616 0.006376361 0.0068256436 0.0027648178 0.00031104198 0.0070675653 0.0058061173 0.017884914 0.015102817 0.0020736132 0.0032313806 0.0017452912 0.0016761707 0.0005356834 0.00025920165 0.0016243304 0.0038189045 0.0013651288 0.0012096077 0.005978918 0.0041990667 0.002643857 0.009313979 0.0030931397 0.0071021253 0.0010886469 0.0005011232 0.0026092967 0.009711422 0.0014169691 0.021254536 0.0012787281 0.0058752378 0.0014688094 0.0009504061 0.0015379299 0.000777605 0.00072576466 0.00058752374 0.00089856575 0.00031104198 0.00038016244 0.00024192155 0.00093312596 0.0007603249 0.00015552099 0.00088128564 0.00062208396 0.00017280111 0.00041472266 0.00019008122 0.0013478487 0.0014688094 0.00057024363 0.0014688094 0.00155521 0.00062208396 0.00025920165 8.6400556e-05 0.0010195265 0.00012096077 0.00015552099 0.00025920165 0.0006566442 0.00034560222 0.00019008122 0.00044928287 0.0008121652 0.00039744255 0.00062208396 0.00012096077 0.0012096077 0.00025920165 0.0008467254 0.0007948851 0.0015033697 0.00036288233 0.00024192155 0.00029376187 0.00060480385 0.00046656298 0.0012096077 0.00062208396 0.008225333 0.002522896 0.0030758597 0.0023155347 0.0014688094 0.00029376187 0.0013651288 0.003283221 0.0026956974 0.0016070503 0.0008294453 0.0007603249 0.0016761707 0.00067392434 0.00088128564 0.0005529635 0.0016070503 0.0008294453 0.0016761707 0.001399689 0.0013132883 0.00031104198 0.0022291343 0.001105927 0.0021772939 0.0004838431 0.0005529635 0.0010195265 0.00089856575 0.00039744255 0.00038016244 0.0005011232 0.002194574 0.0005184033 0.00058752374 0.00034560222 0.0010540867 0.00019008122 0.00031104198 0.00027648176 0.013979609 0.0029203387 0.0004838431 0.00471747 0.0028857784 0.00031104198 0.0005184033 0.00034560222 0.0035251426 0.00089856575 0.00058752374 0.00060480385 0.0019526525 0.00027648176 0.0021254537 0.0019008121 0.005477795 0.0014342492 0.00086400553 0.0014515293 0.0033696215 0.0011404873 0.0018662519 0.04237083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01735618 9.765625e-05 2.6633523e-05 4.4389206e-05 0.0 2.6633523e-05 8.877841e-06 3.5511363e-05 5.3267046e-05 4.4389206e-05 1.7755681e-05 0.0 0.0 5.3267046e-05 0.0 0.00041725853 0.016663708 4.4389206e-05 2.6633523e-05 0.0 2.6633523e-05 8.877841e-06 6.2144885e-05 4.4389206e-05 1.7755681e-05 8.877841e-06 1.7755681e-05 1.7755681e-05 1.7755681e-05 0.00010653409 3.5511363e-05 0.0010830966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014524148 0.0001953125 0.00016867898 0.00010653409 0.0001953125 0.0003018466 0.001278409 0.0006747159 0.00012428977 0.00010653409 1.7755681e-05 1.7755681e-05 0.0 5.3267046e-05 0.0 0.00041725853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011088423 9.765625e-05 0.0007723722 0.0001953125 0.0004350142 0.00041725853 0.0031693892 0.0016601563 0.00021306818 0.00010653409 8.877841e-06 1.7755681e-05 0.0 0.0 0.0 0.0 0.062721945 0.0010209517 0.0038352273 0.0027610085 0.0046697445 0.002450284 0.014275569 0.008939986 0.0027166193 0.00032848012 0.0003728693 0.000390625 0.000612571 0.0006036932 0.0005415483 0.002849787 0.030495383 0.00053267047 0.0012428977 0.00076349435 0.0050870026 0.0038441052 0.015287642 0.008771307 0.0030273437 0.0010653409 0.00051491475 0.00026633524 0.00034623579 0.00026633524 0.00031960226 0.00089666195 0.023872513 0.0006036932 0.0027521306 0.002512429 0.0041459515 0.0033913353 0.019682173 0.009969816 0.002077415 0.0013139205 0.00024857954 0.00025745737 0.0004971591 0.00029296876 0.00029296876 0.00081676134 0.031196732 0.0025923296 0.0032492897 0.0042258524 0.0045010652 0.0031871449 0.0051846593 0.0040926845 0.0047230115 0.00034623579 0.00047052556 0.0007102273 0.002228338 0.0013050426 0.0014914772 0.0032226562 0.007013494 0.00033735795 0.00047052556 0.00062144885 0.0011985085 0.0009144176 0.0006747159 0.00075461646 0.0025390624 0.0008700284 0.00011541193 0.00020419034 0.00048828125 0.00047940342 0.00051491475 0.0009854403 0.051953126 0.009596946 0.004616477 0.0075816764 0.016876776 0.012420099 0.0070845173 0.0109019885 0.024112215 0.0020862927 0.0025656961 0.002787642 0.010591264 0.0050426135 0.011425781 0.02035689 0.085910864 0.024724787 0.015420809 0.016521662 0.031631745 0.030388849 0.014417614 0.02199929 0.040687144 0.0033735796 0.006258878 0.005655185 0.018057529 0.008762429 0.017533736 0.040474076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 411.0 14.627737 6012.0 0.021789754 0.000998004 0.008150366 0.000499002 0.007152362 0.002994012 0.0 0.00083167 0.002661344 0.002328676 0.00083167 0.000665336 0.00166334 0.005322688 0.008649368 0.004657352 0.00665336 0.00499002 0.00499002 0.0083167 0.006154358 0.004657352 0.002994012 0.00249501 0.003493014 0.005988024 0.00415835 0.001497006 0.006487026 0.0056553558 0.0074850298 0.00166334 0.00083167 0.009481038 0.00415835 0.013639388 0.013473053 0.010645376 0.010645376 0.009481038 0.00415835 0.009813705 0.00083167 0.002328676 0.007152362 0.00665336 0.00499002 0.00582169 0.01247505 0.002328676 0.007984032 0.018795742 0.0083167 0.003493014 0.0056553558 0.026447106 0.00083167 0.001164338 0.00083167 0.001497006 0.001330672 0.001164338 0.000998004 0.00166334 0.000998004 0.037924152 0.008982036 0.023453094 0.028443113 0.09514305 0.008483034 0.01413839 0.009647372 0.045575514 0.003493014 0.004324684 0.041250832 0.016300732 0.04291417 0.046074517 0.013639388 0.00166334 0.04075183 0.037258815 0.061709914 0.018795742 0.005988024 0.01247505 0.007984032 0.011144378 0.001330672 0.000665336 0.00083167 0.001164338 0.000998004 0.000499002 5.6131463 0.0 0.0 0.0 2.0 57870.0 339968.0 0.0 0.0 166.0 0.0 1.0 0.0 0.0 0.0 1459714700.0 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 25600.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2486377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0395513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.503809 0.0 4.7534037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25467.0 0.0 2872.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 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 -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 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 1.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 34320.0 2872.0 335872.0 0.0 0.0 4104.0 111272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.013047681 0.0040863324 0.0038901786 0.0040525496 0.003489381 0.0036890723 0.0036636023 0.0038864643 0.003654228 0.003575342 0.0035224564 0.0037679584 0.0036646635 0.003787945 0.0038392388 0.0044740415 0.0035475725 0.0036170844 0.0034801834 0.00377238 0.0035562394 0.0037660126 0.0037959046 0.0038907093 0.0037417808 0.0036593573 0.0036269892 0.0038484363 0.003886641 0.0038721373 0.003913526 0.0042074914 0.0038086395 0.0034980478 0.0034416248 0.0037212635 0.0039706565 0.0035741038 0.0036344181 0.0038466675 0.0037691963 0.0035787025 0.003516089 0.0038180137 0.0037067598 0.0037829927 0.003764067 0.0040562637 0.0037168416 0.003699331 0.003527409 0.00405025 0.0035901994 0.0035962132 0.0037175491 0.003874083 0.0038730218 0.0039577447 0.0037525701 0.0040017865 0.004081026 0.003959867 0.0040598013 0.0042923912 0.0036167304 0.004057679 0.003492211 0.0037025148 0.0037476178 0.0038563956 0.0037000384 0.0038701918 0.005280236 0.00382332 0.0035286471 0.003738774 0.0038731988 0.003809347 0.0038102313 0.0039802077 0.0035817095 0.0037053446 0.0035560627 0.0036572348 0.00359356 0.0036193838 0.0036742147 0.0038708993 0.0036437924 0.003690841 0.0037056985 0.0037407195 0.0038806275 0.003819075 0.0040228344 0.004198471 0.003537137 0.0038951312 0.0036855347 0.003923608 0.003731699 0.003898315 0.0038466675 0.0040194737 0.0037097665 0.003909281 0.003569682 0.0037327602 0.0039356356 0.0037916594 0.003910519 0.0042584315 0.003790775 0.0038542731 0.0039878134 0.004120823 0.0043244055 0.004054318 0.0038507355 0.004090047 0.004286908 0.004091108 0.0038397694 0.0040599783 0.004139041 0.0040032016 0.004237914 0.004359073 0.0034702783 0.0035829474 0.0035466882 0.0042923912 0.0036715616 0.0039000835 0.0036275198 0.0039789695 0.0035422663 0.0040904004 0.0036409623 0.005124586 0.0036915485 0.00416115 0.003844368 0.004008508 0.0035067147 0.0035889612 0.0035903763 0.0037971425 0.00359073 0.003658473 0.0036397243 0.0039122878 0.0036942016 0.0036268125 0.003579587 0.0037974964 0.0038367624 0.0038578105 0.0040355693 0.0041875048 0.003530239 0.003692079 0.0036170844 0.0038058094 0.003628758 0.0036452073 0.0035955056 0.0038901786 0.0035887845 0.0036087711 0.0035084833 0.0037221478 0.0036250437 0.0037042834 0.003709236 0.0039749015 0.0036837661 0.0037327602 0.0035647294 0.003788299 0.0037447878 0.0037251546 0.0036602416 0.003964289 0.0038312795 0.0038164218 0.0037660126 0.0038815117 0.004139395 0.0038855798 0.004122238 0.004381713 0.0039658807 0.0038859337 0.0038901786 0.0040958836 0.0038171294 0.0039885207 0.0039229 0.004252064 0.0038708993 0.0039156484 0.003807932 0.0038884098 0.00409553 0.0037133042 0.0038915935 0.004327943 0.0037621215 0.003783877 0.0037905981 0.0038438374 0.0036383092 0.0037032221 0.0037435496 0.0039568604 0.0037974964 0.0038042176 0.0038295106 0.003900791 0.0037934282 0.0038339326 0.004057856 0.0044291154 0.0039397036 0.0039697723 0.004009569 0.0041777766 0.0039411183 0.0039441255 0.0037592915 0.0041482383 0.0042368528 0.003957391 0.003716311 0.0040380456 0.0038991992 0.0039114035 0.0038836342 0.0043132626 0.0042534787 0.00429699 0.004133912 0.0041142786 0.003930683 0.0039039748 0.004012222 0.0042976975 0.004408421 0.004213859 0.0040806723 0.0041494765 0.0043470454 0.0042285398 0.0044926135 0.005878425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055639294 1.8133633e-05 2.6006284e-05 3.0959861e-06 1.3003142e-05 6.457343e-06 4.84743e-05 2.5917827e-05 3.4498132e-06 3.0959861e-06 4.157467e-06 3.80364e-06 1.769135e-06 2.6537025e-06 1.5922215e-06 6.634256e-06 0.0014620131 2.8483073e-05 5.4843185e-05 1.5126104e-05 0.00012790845 2.857153e-05 7.837268e-05 5.5639295e-05 8.934132e-06 8.403391e-06 1.4772277e-05 4.6970534e-05 2.6183197e-05 1.9991225e-05 6.2804293e-06 1.0260983e-05 0.0003329512 6.0150587e-06 2.335258e-05 5.838145e-06 2.1318076e-05 6.457343e-06 8.226478e-05 4.2547697e-05 3.4498132e-06 9.641785e-06 1.2383945e-06 1.769135e-06 2.3883322e-06 1.3268512e-06 1.769135e-06 1.1499377e-06 0.0020142486 0.00010358285 0.00023016446 9.376415e-05 7.5984346e-05 7.324219e-05 0.0008723604 0.0003832831 2.2379558e-05 1.5656844e-05 1.5922215e-05 1.7602893e-05 1.5391473e-05 1.3799253e-05 1.468382e-05 2.3441038e-05 0.0014802353 0.00016824473 0.00018107097 7.0411574e-05 0.00012171648 9.89831e-05 0.0005446282 0.00033710868 3.2198255e-05 3.80364e-05 2.7952332e-05 2.88369e-05 2.936764e-05 2.857153e-05 3.5028872e-05 3.8478687e-05 0.0012959798 0.00011587834 0.00010367131 7.9522615e-05 9.394107e-05 7.5630516e-05 0.00021238465 0.00013312741 5.793917e-05 4.5820594e-05 4.352072e-05 4.511294e-05 4.325535e-05 3.5736528e-05 4.0867017e-05 0.00011384384 0.0005734651 3.706338e-05 5.6346948e-05 3.918634e-05 5.2277937e-05 5.493164e-05 3.095986e-05 2.3529496e-05 4.7147445e-05 2.936764e-05 9.013743e-05 2.9986837e-05 3.8124857e-05 4.245924e-05 7.545361e-05 0.00022883761 0.00069385476 6.351194e-05 6.634256e-05 8.951823e-05 0.00012923531 6.0504415e-05 5.5550838e-05 4.9358867e-05 0.00011216316 6.147744e-05 7.103077e-05 6.3600404e-05 0.00012605087 5.9089107e-05 8.332626e-05 0.00020813874 0.004250435 0.0006921741 0.0010128297 0.0007401176 0.0030397277 0.0005967292 0.00045696757 0.0008305204 0.0026584791 0.00023414502 0.00023794865 0.00043219968 0.001638042 0.00047934713 0.0008961553 0.0013693989 0.0013107521 0.00027616197 0.00036267267 0.0003738182 0.0009785085 0.00026616635 0.00020690034 0.00036205348 0.00087996776 0.000112782356 0.000106236555 0.00017682504 0.0006088478 0.00022406095 0.00037045687 0.00063016586 0.05600825 0.05868088 0.057371367 0.060247093 0.057243723 0.058701843 0.058748282 0.062845424 0.058360048 0.059353594 0.058245495 0.06085267 0.06081313 0.060772616 0.062332906 0.06612558 25461.0 6.144417 156443.0 0.013902827 0.008341696 0.008501499 0.008827496 0.010003643 0.009236591 0.0087188305 0.009664862 0.0111861825 0.008993691 0.008801928 0.009345257 0.009032044 0.009575373 0.011077517 0.010131486 0.009428354 0.008974515 0.009530628 0.0099780755 0.009147101 0.009159885 0.009044828 0.009684038 0.0099780755 0.010291289 0.009517844 0.009696823 0.0095945485 0.009358041 0.010201799 0.009939723 0.008335304 0.012490172 0.008226639 0.009549804 0.009466707 0.010112309 0.009837449 0.009696823 0.010610893 0.00981188 0.009223807 0.00917267 0.009632901 0.009364433 0.009728783 0.010086741 0.009447531 0.009645686 0.009236591 0.009894977 0.01026572 0.010150662 0.010272112 0.011058341 0.008769968 0.008980907 0.009319688 0.009473098 0.009319688 0.009792704 0.010278504 0.012873698 0.008622949 0.014241609 0.0107834805 0.013385067 0.013448988 0.01831977 0.010885754 0.011787041 0.009824664 0.014605959 0.009115141 0.0094539225 0.013365891 0.011007204 0.013992317 0.015596735 0.010949675 0.009377217 0.015283522 0.014190472 0.01695186 0.01135877 0.010502228 0.00986941 0.010099525 0.011927667 0.0091215335 0.009530628 0.009837449 0.009639294 0.010291289 0.009639294 6.562952 1.0 0.0 0.0 77.0 5653725.0 352256.0 1.0 0.0 96.0 1.0 1.0 0.0 0.0 0.0 1513004700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 2.0 5.0 2.0 135680.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62464.0 0.0 0.0 0.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136192.0 0.0 60416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4131327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8574967 0.0 0.0 0.0 0.0 5.351979 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8379558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.397745 0.0 7.3307066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62232.0 0.0 0.0 0.0 0.0 7404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135772.0 0.0 59960.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 202900.0 59960.0 286720.0 7404.0 274432.0 0.0 0.0 1692.0 348160.0 28.0 194864.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 194896.0 0.0 0.0 784.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.09155097 0.013669646 0.006228604 0.009105173 0.009628186 0.007631229 0.010626664 0.0044218334 0.0038750474 0.004802206 0.0077738683 0.0036373145 0.0022109167 0.0041841003 0.002781476 0.0023773299 0.0027339293 0.0024961962 0.0024486496 0.0062523773 0.0020207304 0.0024248764 0.0026626093 0.0026863827 0.0018543173 0.0022584633 0.002401103 0.0022109167 0.0033758082 0.0036135414 0.002805249 0.0022109167 0.034328643 0.0023535565 0.003256942 0.0022822367 0.0031618485 0.0036135414 0.0029003422 0.002401103 0.0025199696 0.0022822367 0.0034233548 0.0030905288 0.0025675162 0.0042554205 0.00677539 0.0052301255 0.015809244 0.008415747 0.0051588058 0.0036135414 0.003114302 0.0024961962 0.0029241156 0.002947889 0.0025199696 0.0023773299 0.002472423 0.0019256371 0.0033282617 0.0023060099 0.003256942 0.0015690377 0.0018543173 0.004041461 0.0018780906 0.0037324077 0.0054678586 0.0033282617 0.002781476 0.0031618485 0.003518448 0.004635793 0.0017354507 0.0021395967 0.0019018638 0.0045644734 0.003518448 0.003589768 0.004635793 0.0021395967 0.0025199696 0.0034946748 0.0026863827 0.0062523773 0.0023773299 0.002401103 0.0031618485 0.0017829974 0.0021395967 0.0016165843 0.002472423 0.0023297833 0.0015452644 0.0020207304 0.0016403575 0.021871435 0.0043505137 0.009461773 0.010365158 0.022655953 0.010840624 0.005753138 0.0058006844 0.018067706 0.003256942 0.005420312 0.011458729 0.009176493 0.019993344 0.018329212 0.0073934956 0.0015452644 0.025461202 0.014810764 0.02227558 0.0058720047 0.004944846 0.0029003422 0.001830544 0.0025912896 0.0018543173 0.001592811 0.0017829974 0.0016879041 0.0014501711 0.0010935717 0.0022109167 0.002947889 0.0050637126 0.0019256371 0.001830544 0.002781476 0.0047784327 0.0016403575 0.001996957 0.0023535565 0.0019494104 0.001759224 0.0017354507 0.0022109167 0.0018780906 0.0019494104 0.001830544 0.0015214911 0.0015690377 0.002068277 0.0018067707 0.0016641308 0.0015690377 0.0018780906 0.0023535565 0.0019018638 0.001996957 0.001996957 0.0023535565 0.0016165843 0.001592811 0.0011648916 0.002781476 0.0024486496 0.0021395967 0.0020445036 0.0021395967 0.002710156 0.0014263978 0.0017829974 0.0025199696 0.00223469 0.0021158236 0.0017829974 0.0021395967 0.0020445036 0.0020207304 0.0019731838 0.0014263978 0.001759224 0.0025912896 0.001759224 0.0017116774 0.0016641308 0.0018067707 0.0014026245 0.002068277 0.001592811 0.001759224 0.0017829974 0.0020207304 0.0015452644 0.0016641308 0.0012837581 0.0012837581 0.0017354507 0.0019018638 0.0019256371 0.001759224 0.0031380753 0.0015452644 0.0014026245 0.002401103 0.002947889 0.0021871433 0.0020207304 0.001996957 0.001830544 0.0017354507 0.0014739445 0.0015690377 0.0018780906 0.0015214911 0.0014977178 0.0016879041 0.0019494104 0.0017354507 0.0013075314 0.001592811 0.0017116774 0.0016879041 0.0020920502 0.0025675162 0.0017354507 0.0022109167 0.0011411184 0.0014739445 0.0019731838 0.0020920502 0.0014977178 0.0049686194 0.003993914 0.0016641308 0.0013313047 0.0015452644 0.0021395967 0.0017116774 0.0014263978 0.0021871433 0.0017354507 0.0016403575 0.0014501711 0.0016641308 0.0010222518 0.001996957 0.0013075314 0.0018067707 0.001355078 0.0042554205 0.0025912896 0.0012124382 0.0012124382 0.0014026245 0.0014977178 0.001830544 0.0011886649 0.0014977178 0.0015214911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.039160155 0.00059814454 0.0010009765 0.00092773436 0.0009399414 0.00052490237 0.0033813477 0.0016723633 0.0005493164 0.00023193359 0.0001586914 0.00017089843 0.00020751954 0.00010986328 0.00017089843 0.0001953125 0.017993163 0.00024414062 0.00057373045 0.00061035156 0.0006225586 0.0003173828 0.0028564453 0.0014038086 7.324219e-05 1.2207031e-05 6.1035156e-05 3.6621095e-05 2.4414063e-05 2.4414063e-05 0.00010986328 3.6621095e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0147949215 0.0017822266 0.008300781 0.0037109375 0.0025390624 0.0016357421 0.021191407 0.010241699 0.001159668 0.0011108399 0.001538086 0.0010009765 0.0013183594 0.0012695312 0.0018188476 0.0015869141 0.0029541017 0.0018798828 0.009765625 0.0024902343 0.00234375 0.001953125 0.025305176 0.013049317 0.0017822266 0.0018310547 0.0018188476 0.001953125 0.0018432618 0.0016357421 0.0028686523 0.0015258789 0.010876465 0.0051879883 0.016784668 0.006616211 0.010266113 0.005993652 0.039416503 0.020703126 0.0048950193 0.0033813477 0.004699707 0.0041137696 0.004284668 0.0038330078 0.0051513673 0.0037963868 0.045166016 0.016687011 0.026879882 0.025744628 0.019360352 0.017724609 0.0546875 0.030871581 0.0149292 0.010192871 0.012304688 0.009411621 0.011499023 0.0097290035 0.010473633 0.009338379 0.04465332 0.01838379 0.022180175 0.024291992 0.016552735 0.015576172 0.034692384 0.022937011 0.015185547 0.01241455 0.014208985 0.011340332 0.01241455 0.011486816 0.012658691 0.01102295 612.0 21.70915 13286.0 0.09777209 0.0009784736 0.003387024 0.0009784736 0.0031612224 0.0028601536 0.0017311455 0.0013548096 0.0008279392 0.0009784736 0.0006021376 0.0012042752 0.0020322143 0.0087309955 0.013322294 0.010161072 0.018666266 0.015279241 0.009182598 0.0043654977 0.0033117568 0.0017311455 0.0031612224 0.0016558784 0.0027096192 0.0021074815 0.0028601536 0.00052687037 0.00376336 0.0024085504 0.0039138943 0.0009784736 0.00052687037 0.007903056 0.001129008 0.005720307 0.011214812 0.0018064128 0.0006774048 0.005042902 0.0009032064 0.0072256513 0.000752672 0.0016558784 0.0012795423 0.0071503837 0.00564504 0.0066987807 0.007903056 0.000752672 0.003387024 0.004214963 0.0024838175 0.0001505344 0.0013548096 0.0023332832 0.0052687037 0.0006774048 0.0019569471 0.0003010688 0.0002258016 0.000376336 0.00052687037 0.0014300768 0.0006021376 0.060289025 0.00752672 0.02310703 0.02528978 0.062170707 0.027020924 0.012569622 0.011892217 0.04945055 0.003462291 0.011591149 0.029203674 0.021978023 0.055697728 0.049826887 0.018365197 0.00052687037 0.06962216 0.038837876 0.06307391 0.013548096 0.010085804 0.003462291 0.0008279392 0.0024838175 0.0006774048 0.0 0.00052687037 0.0003010688 0.0003010688 0.0003010688 5.214834 2.0 21.0 0.0 1.0 42064.0 32768.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1541085200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 6.0 1.0 6.0 1.0 0.0 1024.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.131247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.9653907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 4128.0 0.0 0.0 24084.0 8192.0 0.0 0.0 15952.0 26112.0 0.0 0.0 28.0 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


Input: 0.13133971 0.0034268699 0.0033244577 0.0032141674 0.0032693127 0.0028123965 0.002623328 0.0032141674 0.0026390837 0.0031669005 0.002497282 0.0028754196 0.0027651293 0.002560305 0.0028281524 0.0028123965 0.0031826561 0.0028281524 0.0028911752 0.0027572515 0.0030566102 0.0029384424 0.002969954 0.0029069309 0.0027493737 0.002969954 0.0028596637 0.0029935874 0.0028360302 0.002969954 0.0026312058 0.0032850683 0.004317068 0.004726717 0.0039704423 0.0031117552 0.0033953583 0.0032062896 0.0029305646 0.0028517859 0.0030014652 0.0027493737 0.0026312058 0.0028675417 0.0030014652 0.0035686714 0.0031511446 0.0029384424 0.005065465 0.0049866866 0.0051993886 0.0054357247 0.006160488 0.004214656 0.004269801 0.004033465 0.0039152973 0.003875908 0.003931053 0.0043643354 0.0041122437 0.0040177093 0.0036553277 0.004214656 0.005073343 0.0057350835 0.0050812205 0.0042855567 0.0055381367 0.0041122437 0.004435236 0.0051127323 0.003994076 0.0041831443 0.004206778 0.004049221 0.0041201217 0.004151633 0.004049221 0.0037104727 0.00364745 0.0028596637 0.0031038774 0.0031511446 0.0029935874 0.002497282 0.0028754196 0.0028596637 0.0030487324 0.00250516 0.0028045187 0.0028202746 0.0024894043 0.0025209158 0.0026548393 0.0027572515 0.002733618 0.0033087018 0.0027257402 0.0030723661 0.0034032362 0.003584427 0.0028517859 0.003064488 0.003135389 0.003300824 0.0026469615 0.002733618 0.0035765492 0.002678473 0.0029935874 0.0034268699 0.0029778318 0.0031275111 0.0040255873 0.0034032362 0.0033087018 0.0030014652 0.0027178624 0.0031275111 0.0029069309 0.002623328 0.0024185036 0.0027021065 0.0026390837 0.0027651293 0.0033717249 0.004104366 0.0026705952 0.0025130378 0.0023476027 0.0023554806 0.0023082134 0.002560305 0.002386992 0.0026075721 0.0027808852 0.0026627171 0.0024263815 0.0028754196 0.0021664118 0.00239487 0.002229435 0.0025209158 0.0021427784 0.0024027477 0.0021979234 0.002119145 0.00228458 0.0024027477 0.0022058012 0.0024657706 0.0024263815 0.0023003356 0.0023791143 0.00228458 0.0022609462 0.002221557 0.0024185036 0.0021506562 0.0026469615 0.00228458 0.002386992 0.0027021065 0.0023791143 0.0024263815 0.0024106256 0.0024342593 0.00228458 0.0026548393 0.0025130378 0.0024736486 0.0024185036 0.002386992 0.0026312058 0.0025524271 0.0026863508 0.002442137 0.002678473 0.002497282 0.002158534 0.0023712364 0.0026390837 0.00239487 0.00261545 0.002568183 0.0021821677 0.0025839387 0.0026627171 0.0024657706 0.0030014652 0.00250516 0.0027178624 0.0024657706 0.0023791143 0.0024815265 0.002560305 0.002276702 0.0025445493 0.0027414958 0.002339725 0.0024342593 0.0023239693 0.0027966409 0.0025996943 0.002442137 0.0022688243 0.002678473 0.0027966409 0.0024736486 0.002678473 0.00239487 0.00217429 0.0024657706 0.0025287936 0.0024578928 0.0027808852 0.0025209158 0.002331847 0.0027414958 0.0024894043 0.003064488 0.0031038774 0.0024578928 0.0028596637 0.0021900455 0.0023003356 0.0024185036 0.0024263815 0.002442137 0.0021900455 0.0023791143 0.003135389 0.12336731 0.0033953583 0.0025366715 0.0026075721 0.0025130378 0.0024106256 0.0024736486 0.0024342593 0.002331847 0.0026469615 0.0020639997 0.002899053 0.0021821677 0.0022688243 0.002733618 0.00239487 0.0023003356 0.0022688243 0.0024815265 0.0023791143 0.0021900455 0.002497282 0.0023082134 0.040983606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-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 0.013223616 0.000116066854 0.000116066854 0.00011206455 0.00024814293 0.00010005763 0.0001520876 0.00035220286 0.0006803919 4.8027665e-05 0.00013207608 0.00013607838 0.00019211066 6.803919e-05 0.00023213371 0.00048427895 0.026199091 0.00034820056 0.00020011526 0.013755923 0.0142362 0.0002841637 0.00024013832 0.00024814293 0.00024414062 0.00020411758 0.00023213371 0.00025214523 0.0002241291 0.00020411758 0.0002841637 0.00022012679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.011854828 0.0009725602 0.001704982 0.0009925717 0.002109215 0.0008925141 0.0012167008 0.0007284196 0.0006043481 0.00022813141 0.00033619365 0.0003562052 0.00040023052 0.00042424435 0.0013607838 0.00040823515 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0033339204 0.0010846248 0.00077644724 0.0028096184 0.0009605533 0.00063636655 0.00092453253 0.0020091573 0.00076043804 0.00026815446 0.00020811988 0.00038422132 0.00034019595 0.00039222592 0.0010325948 0.00047227202 0.025146484 0.023181353 0.02588291 0.024938364 0.027075596 0.02347352 0.024570152 0.023409484 0.022364883 0.022781122 0.023329439 0.023689644 0.022801133 0.024053855 0.14204583 0.021256244 0.021468366 0.019971503 0.0227451 0.021292264 0.021172196 0.018786822 0.01803839 0.018122438 0.014068103 0.012719327 0.014804527 0.014936604 0.015540952 0.015949186 0.014220191 0.0148525555 974.0 7.355236 7164.0 0.017867113 0.028894473 0.0060022334 0.0033500837 0.0058626467 0.0060022334 0.004048018 0.004745952 0.004048018 0.0034896706 0.00307091 0.0034896706 0.0037688443 0.005443886 0.004466778 0.0037688443 0.024427693 0.025125628 0.026102737 0.02903406 0.025683975 0.014377443 0.017727526 0.012841987 0.01186488 0.0117252935 0.014656616 0.012702401 0.013260748 0.013819096 0.01451703 0.016610831 0.015633725 0.02414852 0.014377443 0.019542156 0.024986042 0.016052485 0.017029593 0.031825796 0.014237856 0.01884422 0.0117252935 0.015773311 0.015075377 0.015214964 0.017448353 0.0135399215 0.019123394 0.0043271915 0.004745952 0.008514796 0.0050251256 0.0026521496 0.004466778 0.004187605 0.0067001674 0.0034896706 0.0032104969 0.004885539 0.002233389 0.0051647127 0.0032104969 0.0043271915 0.00307091 0.00921273 0.0043271915 0.007677275 0.009352317 0.019542156 0.0043271915 0.0053042993 0.005443886 0.011585706 0.0037688443 0.0037688443 0.012981575 0.0060022334 0.009073144 0.010887772 0.0058626467 0.005443886 0.01675042 0.010329425 0.016192071 0.0064209937 0.003908431 0.0064209937 0.0037688443 0.0057230596 0.0029313234 0.0026521496 0.0036292574 0.004187605 0.004187605 0.010748185 6.2521496 0.0 0.0 0.0 2.0 126938.0 73728.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 4.0 0.0 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 -45417.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -9216.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.230035 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8968.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05670556 0.008301786 0.0061737606 0.005661957 0.0057552005 0.004961594 0.004204249 0.005424704 0.0050465493 0.0056236233 0.0037535718 0.004473619 0.004954342 0.0031702814 0.0043202853 0.0046424936 0.005032045 0.0037691123 0.0049325847 0.004159699 0.004351367 0.0031723534 0.0041058254 0.0038457792 0.005069342 0.0033578046 0.0031671734 0.0029351003 0.004151411 0.0034427599 0.0037908691 0.0037908691 0.006167544 0.0038198782 0.0034873094 0.003030416 0.0049015037 0.0041638436 0.0038457792 0.0037235266 0.004723305 0.0038986173 0.0033319036 0.0030967225 0.0043700156 0.0037204186 0.003732851 0.0035836613 0.0055158753 0.003953527 0.0031019028 0.002900911 0.0036737968 0.0030687496 0.0026854149 0.0028615417 0.0041690236 0.003316363 0.003524607 0.0033546966 0.0040074014 0.0032293356 0.0035080304 0.0034551923 0.006598537 0.003943167 0.0036230308 0.0032231195 0.004152447 0.0032231195 0.0035453278 0.0030687496 0.004994747 0.0037774006 0.003707986 0.0035878054 0.00412551 0.0031278038 0.0035629405 0.0034634806 0.005170874 0.003633391 0.0036592921 0.003340192 0.0039307345 0.0033764534 0.0033609127 0.0035360034 0.0046435297 0.0036437516 0.0038074458 0.0035121746 0.0041151494 0.0033878498 0.0036893373 0.003787761 0.005911642 0.003627175 0.0033350117 0.0029547852 0.004004293 0.0030490647 0.003266633 0.0030314522 0.0049781706 0.0031692453 0.0031992905 0.0030459566 0.003576409 0.0028314965 0.003080146 0.0031941102 0.0045036646 0.0032873538 0.0032303717 0.0031433443 0.0038944732 0.0033267234 0.003291498 0.003626139 0.004623845 0.003286318 0.0034810933 0.0031692453 0.0040384824 0.0031992905 0.0034769492 0.0033391558 0.008643679 0.004597944 0.004011546 0.0035214988 0.004363799 0.0034334355 0.0030221278 0.0033826695 0.0045337095 0.003835419 0.0029682536 0.0031920383 0.003732851 0.0027962711 0.0028449649 0.002976542 0.0052278563 0.0032023985 0.003495598 0.003028344 0.003658256 0.0031816778 0.0033028945 0.0032624889 0.004545106 0.0028408207 0.0030366322 0.0027061356 0.0035173546 0.0032241554 0.0029837943 0.0031516326 0.0050165043 0.0034085705 0.0032738855 0.0028035233 0.0037774006 0.0030055512 0.0030532088 0.0031816778 0.0041348343 0.003000371 0.0031132991 0.0030076231 0.0036478958 0.0028356407 0.0029174876 0.0030355963 0.004672539 0.0031112272 0.0038447431 0.0028594695 0.0035577603 0.0031526687 0.0029858663 0.0031236596 0.004249835 0.0031443804 0.0033360478 0.003185822 0.0036510038 0.0031951463 0.0033308675 0.0033433 0.0067207892 0.0040674917 0.0037162744 0.0033339758 0.0041182577 0.0032562728 0.0033070387 0.0032282996 0.0043296097 0.0033298314 0.0031153713 0.003082218 0.0036489316 0.0029848304 0.0030791098 0.0027962711 0.0042446544 0.0032790655 0.0030936145 0.003006587 0.003710058 0.0030241997 0.0029361364 0.0029433887 0.0039815004 0.003106047 0.00271546 0.0026336128 0.003525643 0.0029402806 0.003576409 0.0028884786 0.004954342 0.0032314078 0.00339821 0.00297447 0.003810554 0.0030697857 0.0032034346 0.0029123076 0.004447718 0.005455785 0.0034676248 0.003132984 0.0037919052 0.0030905064 0.0032510925 0.0031982544 0.0046124486 0.003318435 0.0034137508 0.0030387044 0.0037380313 0.0030915423 0.0033091106 0.0032396961 0.004352403 0.0030314522 0.0031878941 0.0028636137 0.0040156897 0.0030956867 0.0042208256 0.004517133 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099234216 0.062022097 0.062468346 0.055325743 0.06059254 0.059578095 0.05492308 0.05447216 0.06046852 0.053138595 0.052114293 0.052954387 0.05641594 0.050535813 0.056681618 0.0538142 4027.0 5.703005 22966.0 0.01724288 0.010450231 0.00944875 0.008664983 0.013454672 0.012453192 0.011843595 0.011451711 0.012583819 0.009753549 0.008534355 0.00862144 0.013890099 0.010537316 0.011843595 0.010014804 0.01672037 0.011887138 0.008708525 0.0075328746 0.009797092 0.008534355 0.007837673 0.008316642 0.010319603 0.008403727 0.009579378 0.008839154 0.011538796 0.008969781 0.009622921 0.009231037 0.018026648 0.010885657 0.010363146 0.009100409 0.010885657 0.008795611 0.010624401 0.0082731 0.014194896 0.011582339 0.009753549 0.008926239 0.011495254 0.009318123 0.011669424 0.009535835 0.014804494 0.009579378 0.010014804 0.009056867 0.01210485 0.009405208 0.009535835 0.009753549 0.013759471 0.009231037 0.010493773 0.009535835 0.011146913 0.009797092 0.010450231 0.010667944 0.017939562 0.011016285 0.009666463 0.0082295565 0.013106331 0.0082731 0.009361665 0.008316642 0.015414091 0.00927458 0.008882696 0.008708525 0.011364626 0.008055386 0.009927719 0.007837673 0.0132369585 0.007968301 0.008664983 0.008839154 0.011495254 0.00944875 0.0082295565 0.007968301 0.0109292 0.008839154 0.011974223 0.008577898 0.011321084 0.009013324 0.009971262 0.0087520685 6.5545287 0.0 0.0 0.0 14.0 965214.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 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 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 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 0.0 0.0 0.0 0.0