Input: 0.22441277 0.01123405 0.013876948 0.017694851 0.014858496 0.016638925 0.01600961 0.020997126 0.020695377 0.008599245 0.015324028 0.0060453685 0.011703051 0.001870222 0.0014436126 0.0019927712 0.0042472114 0.0018794711 0.0013615278 0.0011222103 0.001443998 0.0018440166 0.0018120306 0.00096073846 0.0013395615 0.0008389601 0.0006358678 0.0007087036 0.001116815 0.0015792644 0.000765739 0.00073028455 0.0065814243 0.0011410937 0.0009615092 0.00075263623 0.0024355664 0.0011545818 0.0014651936 0.00063625316 0.0017442047 0.0006520535 0.0009896415 0.0039828448 0.0011884947 0.000919118 0.0015075847 0.0013464983 0.0066638947 0.0045589795 0.001553059 0.00209451 0.0010316473 0.0010108371 0.0009931099 0.0013337809 0.0015823474 0.0015141361 0.0014902429 0.0013233757 0.00079232984 0.0010609358 0.00087942445 0.0005900082 0.0032860877 0.0020128107 0.0010170031 0.002015123 0.0031149816 0.003555079 0.0022999146 0.0009800071 0.0014794524 0.002071773 0.0005680419 0.00063702394 0.0014744425 0.0017368825 0.001284453 0.0013638401 0.0032837754 0.000994266 0.0020320793 0.0029315432 0.0014937113 0.002948885 0.008619284 0.0020185912 0.0010805898 0.0012177832 0.00079656893 0.0011977437 0.005856535 0.001985449 0.0018833248 0.0023966436 0.0013372493 0.0045331595 0.004761301 0.0034124905 0.0031685485 0.007951045 0.0024413469 0.0021465356 0.003001296 0.0050322195 0.0019785124 0.001087912 0.0035342688 0.0021835314 0.0042934567 0.0055000638 0.0030910883 0.00097075815 0.0057971873 0.004891172 0.0075552654 0.0044553136 0.0015337903 0.0015372586 0.0015137508 0.0025619692 0.004275344 0.0021318912 0.0013734745 0.0014813793 0.0015018041 0.0009800071 0.035970464 0.034582343 0.001553059 0.002958134 0.001309117 0.002210893 0.0025161097 0.0062079965 0.0015014188 0.0030294284 0.00089252717 0.0075456314 0.00092258636 0.003058717 0.000840887 0.00079926656 0.0012659549 0.00085977034 0.0010285643 0.00093453296 0.0010042858 0.0008871319 0.0014066166 0.00084589684 0.000949948 0.00093453296 0.0007703635 0.00072411855 0.00092721084 0.00070484984 0.0012108465 0.0008081302 0.0010301059 0.001134157 0.0012015975 0.0012678818 0.0054183644 0.0073329047 0.0011549671 0.0011503426 0.0009815487 0.00086131186 0.0014752133 0.0070469566 0.007529831 0.0013569033 0.0010832875 0.0009295231 0.0011672991 0.0009195034 0.0025365346 0.0014867745 0.00085321895 0.0007634267 0.00089137105 0.00090177613 0.0012266468 0.0011426351 0.00089869316 0.00082932576 0.00083086727 0.0007514801 0.0008809659 0.0009025469 0.0033126785 0.0012686526 0.0014836915 0.0014035336 0.0011029416 0.00071217195 0.001156894 0.001313356 0.0012436033 0.0012489985 0.00084165775 0.0008362625 0.003041375 0.0007291284 0.0009954221 0.0010104517 0.0023608038 0.0013611425 0.0008647802 0.0008000373 0.0008636241 0.0006385654 0.0023985703 0.0067012757 0.00095418707 0.0006416484 0.0006539804 0.000762656 0.00086670707 0.0005838423 0.00080543256 0.0007033083 0.0012651843 0.0008509067 0.0006902056 0.0006458875 0.0009445527 0.000584613 0.00092104485 0.0007090889 0.003641403 0.0010898389 0.0006285457 0.0014204901 0.0013861918 0.0006771029 0.00073452364 0.0009441673 0.0017341849 0.0008875173 0.0008578435 0.00090331765 0.000912952 0.00056919805 0.00094570883 0.0008335649 0.001373089 0.0007325968 0.00054337794 0.0006204528 0.0014208755 0.0008921418 0.00092297175 0.09259353 0.046930518 1.6770813e-05 1.1566078e-06 2.6987516e-06 6.361343e-06 4.240895e-06 5.783039e-06 4.0481273e-06 2.1204476e-06 1.1566078e-06 1.1566078e-06 5.783039e-07 5.783039e-07 0.0 3.855359e-07 2.3132156e-06 0.008616149 0.00014997348 2.7565819e-05 3.026457e-05 1.8698493e-05 9.060094e-06 2.7373051e-05 1.5035901e-05 2.5059835e-05 3.8553594e-06 8.674559e-06 1.4650365e-05 5.397503e-06 4.240895e-06 4.819199e-06 0.00011932337 0.01434984 0.00029377837 0.00011296203 0.000102552556 0.00032462124 0.00022496021 8.770942e-05 5.95653e-05 8.42396e-05 2.3324923e-05 1.8312956e-05 1.98551e-05 3.7204216e-05 8.48179e-06 1.0987774e-05 3.315609e-05 0.01307121 0.0007824452 0.00037936735 7.1902454e-05 0.0001594191 0.00020028591 0.0001883343 0.00014419043 4.626431e-05 3.315609e-05 3.5854842e-05 4.5686007e-05 3.6047608e-05 3.4698234e-05 4.45294e-05 0.0001233715 0.016355783 0.00034370527 0.0005193169 0.00046167927 0.00051257 0.0010195498 0.00066524226 0.0015564085 0.011982071 0.00014553982 0.0020491234 3.373439e-05 0.00014284106 2.7758586e-05 3.701145e-05 7.344459e-05 0.010328507 0.00024982728 0.0005216301 0.00031016365 0.0004543541 0.0015608422 0.00059044827 0.0011828243 0.018511122 0.00016520215 0.0042998823 9.156478e-05 0.00011257649 0.00014650365 7.1902454e-05 9.195032e-05 0.027133632 0.00047632965 0.00069782004 0.001155644 0.00067468785 0.0035297743 0.0059210607 0.0010702477 0.0109285945 0.00013686526 0.0029738313 0.00013339543 0.00016115402 0.00039748754 0.000104480234 0.007671201 0.06851301 0.0012549195 0.0033094403 0.0015481195 0.003081396 0.0047532725 0.01565353 0.012591218 0.015401582 0.00034389805 0.007532601 0.0022258917 0.0016736115 0.004855054 0.0021738443 0.026426945 0.0936914 0.0022956736 0.003850733 0.0027733527 0.0027625577 0.0044475426 0.007574239 0.0066508804 0.014038327 0.006290404 0.011776966 0.006169924 0.005000208 0.0058160024 0.0028996158 0.043069955 0.027786346 0.002801304 0.004121186 0.0032005266 0.003004096 0.0051347604 0.0077876328 0.0049857507 0.009400908 0.00098196 0.004411302 0.0008826845 0.00090716605 0.0023116735 0.00049599196 0.0035079913 0.015753577 0.0013680742 0.002493261 0.0040945844 0.0021079176 0.0038212393 0.005311914 0.003058071 0.0030071803 0.0006710253 0.0015288427 0.0007976738 0.00077242125 0.0014395912 0.000636327 0.0028816883 0.011441164 0.0012366065 0.001406435 0.0016813221 0.0014660003 0.0009985381 0.0019984255 0.0016659007 0.0012512568 0.00079324015 0.00069839833 0.0005108351 0.0007521806 0.00070572353 0.00066948315 0.0019388602 0.010583154 0.0014039291 0.0018046937 0.0019288362 0.0014658076 0.0015348186 0.0018638734 0.0017780917 0.0016938521 0.0010835488 0.0009235513 0.00090292515 0.001171451 0.0009939116 0.0011606559 0.003263947 0.015711939 0.0031906953 0.0022677223 0.0029003867 0.00454836 0.00498363 0.0024292618 0.0035532918 0.007404796 0.0011359816 0.0012225345 0.0014548198 0.0038457208 0.0014708196 0.0026642461 0.0071455226 0.02089142 0.005093508 0.004483397 0.0067306864 0.0069830194 0.0071941004 0.0047284053 0.0057851593 0.010861319 0.0021555314 0.002208157 0.0023882024 0.0058792303 0.0024381292 0.0048635355 0.008776918 0.002013847 0.0014359285 0.0014685063 0.0014912529 0.0013351109 0.0013362676 0.0015475412 0.0015670108 0.0013038825 0.001304268 0.0012828708 0.0013167979 0.0012115466 0.0013196894 0.0013027259 0.0016605032 12300.0 17.552439 215895.0 0.046328075 0.004789365 0.0027328099 0.0016304222 0.004877371 0.003195998 0.0012413441 0.002144561 0.0011903935 0.0012598716 0.0018851757 0.02929665 0.0037286645 0.003589708 0.00920818 0.0022279348 0.009833484 0.042279813 0.010134556 0.0037240325 0.0027050187 0.0023113086 0.002297413 0.0076981867 0.0073600593 0.0031496792 0.0025290071 0.0011903935 0.0014544107 0.0032562125 0.0043493365 0.001713796 0.0041594296 0.011000718 0.004215012 0.01115357 0.019097246 0.0097223185 0.0049514812 0.0048542116 0.0035619168 0.008027051 0.00094490376 0.0023715233 0.0066421176 0.00553973 0.005701846 0.0071284655 0.008698673 0.0019314945 0.015030455 0.013622363 0.008045577 0.013302763 0.04958892 0.005419301 0.0024502652 0.0016813729 0.0011440747 0.0022418306 0.032094304 0.0024641608 0.0007827879 0.009861276 0.0009958545 0.029092846 0.029315175 0.021158433 0.015859561 0.06047384 0.0072905812 0.012163321 0.009226708 0.033155005 0.0011950254 0.0021769842 0.021635517 0.012515343 0.029500451 0.03461405 0.012978531 0.0008152111 0.037439495 0.029671831 0.044716183 0.013154543 0.004719887 0.005961231 0.004173325 0.008795942 0.0039602583 0.0012922948 0.0027513374 0.00085226615 0.0049653766 0.0006391996 5.7701817 3.0 63.0 10.0 41.0 2594879.0 98304.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1194411100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6161885 0.0 5.7975507 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 -59076.0 0.0 12096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 67172.0 12096.0 73728.0 0.0 0.0 9216.0 81920.0 12.0 90112.0 28.0 67056.0 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: 0.18534426 0.0037279564 0.0033227438 0.0029580523 0.003233597 0.0030877204 0.0030958247 0.0031120332 0.0033389523 0.003136346 0.00352535 0.003136346 0.0031606588 0.0031444503 0.0030715119 0.0030796162 0.0038981456 0.0032498054 0.0030066778 0.0031282417 0.0029094268 0.0034767245 0.0029904693 0.0029580523 0.0028608013 0.003233597 0.0034037863 0.0032741183 0.0030634077 0.003168763 0.003266014 0.0030715119 0.0030147822 0.0033875778 0.0032417013 0.0030796162 0.0030471992 0.0026825077 0.0031120332 0.0030553034 0.0030309907 0.0033551608 0.0029337397 0.0033470565 0.003298431 0.0030471992 0.0034037863 0.0034118905 0.003233597 0.003298431 0.0030634077 0.0033146394 0.0031849714 0.0031120332 0.0028851142 0.00352535 0.003549663 0.0031039289 0.003266014 0.003136346 0.0030715119 0.0030471992 0.0032741183 0.0030066778 0.0029823652 0.0033065353 0.0030390949 0.0031201374 0.0032579098 0.0035415585 0.003298431 0.0031606588 0.0032741183 0.0032092843 0.003136346 0.0029661567 0.0030634077 0.0032822224 0.0029013227 0.0030066778 0.0033227438 0.0033065353 0.0032741183 0.0032903268 0.0031444503 0.003330848 0.0035334544 0.0031606588 0.0033065353 0.003298431 0.003549663 0.0031849714 0.0031849714 0.0029094268 0.0033146394 0.0030228863 0.0033794735 0.0028851142 0.0028770098 0.0029094268 0.0032741183 0.0032173884 0.0033227438 0.0030877204 0.0033794735 0.0032903268 0.003233597 0.0031606588 0.0032092843 0.0033146394 0.0030796162 0.0030877204 0.0033065353 0.0029904693 0.0032903268 0.0032579098 0.0030553034 0.00320118 0.0030309907 0.0031444503 0.0031444503 0.0033713693 0.0031444503 0.0030309907 0.0034037863 0.0033713693 0.0031039289 0.0031201374 0.0030553034 0.0034037863 0.0033875778 0.0031039289 0.0031768673 0.0033470565 0.0031282417 0.0033470565 0.003298431 0.0031525544 0.0035658714 0.003557767 0.003614497 0.0029904693 0.0029823652 0.0034686204 0.0033146394 0.0032092843 0.003233597 0.0031525544 0.0030715119 0.0029742608 0.0031444503 0.0030471992 0.0034037863 0.0031120332 0.0031201374 0.0030147822 0.003266014 0.0031930758 0.0032173884 0.0030471992 0.0031039289 0.0033875778 0.0030796162 0.0033389523 0.0029256353 0.0029904693 0.0032822224 0.0029256353 0.0034118905 0.0030715119 0.0030471992 0.0033470565 0.0031930758 0.0030634077 0.0030634077 0.0030796162 0.0032092843 0.0030877204 0.0026500907 0.0030958247 0.0036388095 0.0030958247 0.0031930758 0.0027635503 0.0029742608 0.003233597 0.0032822224 0.003136346 0.0030309907 0.003395682 0.0034118905 0.0034443075 0.0032498054 0.0030309907 0.0031201374 0.0030309907 0.0032903268 0.0032417013 0.0033713693 0.0033875778 0.0028526972 0.0029580523 0.0032173884 0.003395682 0.0033875778 0.0032903268 0.0031444503 0.0032579098 0.0031201374 0.0031444503 0.0030471992 0.0028364887 0.0028932183 0.0032822224 0.0029742608 0.0029742608 0.0033389523 0.0032092843 0.00320118 0.0031444503 0.0030553034 0.0032417013 0.0031120332 0.0030553034 0.0030877204 0.0031282417 0.0034443075 0.003363265 0.0030471992 0.003428099 0.003136346 0.0030066778 0.0030228863 0.0029499482 0.0030390949 0.0037684776 0.0033146394 0.0033227438 0.0034037863 0.0029580523 0.0035739755 0.0030553034 0.003330848 0.0031768673 0.00320118 0.0030958247 0.0032498054 0.0031201374 0.003784686 0.003395682 0.003168763 0.003266014 0.0030634077 0.003266014 0.0033794735 0.0042223157 0.15126051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008198201 1.23096115e-05 4.103204e-06 1.23096115e-05 4.103204e-06 3.6928835e-05 8.206408e-06 8.206408e-06 2.4619223e-05 1.23096115e-05 1.23096115e-05 1.23096115e-05 1.6412816e-05 1.23096115e-05 2.051602e-05 8.206408e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059701614 0.00015592175 4.103204e-05 4.9238446e-05 0.000221573 0.00018464417 6.154806e-05 4.9238446e-05 0.00059496454 3.6928835e-05 6.154806e-05 5.7444853e-05 0.0001107865 1.23096115e-05 0.00016002495 0.0006359966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008001247 0.000644203 0.0003241531 0.00037749475 0.0006154806 0.00067292544 0.00071806065 0.00048417805 0.0010996587 0.00039801077 0.00035697874 0.00036928835 0.0004144236 0.0003036371 0.00059086137 0.0014361213 0.0039226627 0.0003159467 0.00033646272 0.00029543068 0.00029132748 0.00022977941 0.00042263 0.00028722428 0.00024619224 0.0003200499 0.00025850185 0.00029543068 0.00026260506 0.00033646272 0.0003077403 0.00027491467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04973493 0.050149355 0.050276555 0.05065405 0.04985803 0.051487003 0.049615942 0.05052685 0.05104796 0.05029707 0.050223213 0.050440684 0.050953586 0.04951336 0.050826386 0.051117714 486.0 5.835391 2836.0 0.011988716 0.011636107 0.008815233 0.012341326 0.010578279 0.0074047954 0.007757405 0.011636107 0.010578279 0.009167842 0.008462624 0.012341326 0.01022567 0.011636107 0.011283498 0.011988716 0.012341326 0.009167842 0.010930888 0.010578279 0.008110014 0.0063469675 0.008110014 0.011283498 0.013751763 0.012693935 0.008815233 0.008110014 0.009520452 0.011283498 0.009520452 0.007052186 0.011636107 0.012693935 0.008462624 0.011283498 0.008815233 0.010578279 0.009167842 0.009520452 0.009167842 0.008815233 0.009167842 0.009167842 0.008815233 0.011283498 0.009167842 0.009167842 0.010930888 0.009520452 0.011636107 0.01022567 0.010578279 0.008110014 0.014104372 0.01022567 0.011636107 0.011283498 0.01551481 0.007757405 0.011988716 0.005994358 0.013399154 0.0074047954 0.011636107 0.013399154 0.013751763 0.0098730605 0.0098730605 0.017277855 0.010578279 0.01022567 0.011636107 0.014104372 0.006699577 0.0098730605 0.016220028 0.013751763 0.014104372 0.010578279 0.0098730605 0.011988716 0.012341326 0.010578279 0.013399154 0.0074047954 0.009520452 0.0098730605 0.009167842 0.0074047954 0.008462624 0.005641749 0.01022567 0.009520452 0.01022567 0.008110014 6.5529785 0.0 0.0 0.0 2.0 123392.0 131072.0 0.0 0.0 11.0 1.0 0.0 0.0 0.0 0.0 1288989000.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 121856.0 1024.0 4096.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2537402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.250353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121848.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 125652.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 126976.0 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 4096.0 0.0 0.0 0.0 0.0


Input: 0.14281565 0.008653304 0.004197014 0.0034329006 0.0062575024 0.00395893 0.0020343116 0.0019657533 0.007904148 0.001514515 0.0017064783 0.001509529 0.0045859264 0.0013761519 0.0012340493 0.0039003436 0.0061802184 0.001509529 0.0011904213 0.0008987369 0.0024780708 0.0019881905 0.0007703459 0.0008289321 0.0023147773 0.0007578808 0.00083391817 0.00071425276 0.0016229618 0.0006070525 0.0005970804 0.00056841056 0.0039028367 0.00058960135 0.0006556666 0.0005459733 0.0041783163 0.0013250449 0.0004674429 0.00056467106 0.0011904213 0.0006569131 0.0005871083 0.0009485975 0.0011118909 0.0023559122 0.00068059686 0.000521043 0.0055893706 0.0026475966 0.0031673932 0.010065604 0.0032770864 0.0018610461 0.0027311132 0.0015544035 0.003840511 0.0019221252 0.00071923883 0.0014920778 0.0016778085 0.0009822533 0.00046868942 0.0005322617 0.011853105 0.00395519 0.0049349507 0.008887648 0.0038953577 0.03278333 0.003290798 0.0027273735 0.003406724 0.0035725103 0.0022038375 0.0023708704 0.00272862 0.004417647 0.001167984 0.0015419384 0.009121993 0.002158963 0.0020704605 0.0098237805 0.003227226 0.013933538 0.003244677 0.002110349 0.0019395765 0.006559159 0.0027610294 0.0032820725 0.0015768408 0.0046694432 0.0023945542 0.00362985 0.005805018 0.004428866 0.0017027387 0.0032745935 0.0092915185 0.0061627673 0.0039115623 0.0015519104 0.0078692455 0.004260586 0.0037395433 0.0013848775 0.003498966 0.0017501062 0.004365294 0.0040574046 0.003118779 0.0017002457 0.004882597 0.0038679342 0.010218926 0.0055818916 0.0016877805 0.0011143839 0.0027784808 0.0012726912 0.0005347547 0.00059458736 0.0016653433 0.0025366568 0.0010707559 0.0008812857 0.005282728 0.0011667375 0.0010969327 0.009130718 0.003144956 0.0032509097 0.001042086 0.0006232572 0.0026824991 0.015302211 0.0022499585 0.052114274 0.0012053795 0.01108276 0.0008638345 0.0006855829 0.0026762665 0.0004474987 0.00073295046 0.0006506805 0.0011318352 0.00094361143 0.0015232406 0.0005721501 0.0011829422 0.0005933409 0.00050359184 0.0007179923 0.00096355565 0.00047990805 0.00046868942 0.00042256838 0.00090372295 0.0033543704 0.00046993594 0.0025703127 0.0014347382 0.00082394603 0.00056841056 0.00045622428 0.0010545512 0.00046121035 0.0005135639 0.0004911267 0.0008538624 0.00045373125 0.00074790866 0.0006631457 0.0013350169 0.000690569 0.0017438737 0.00054098724 0.00088502525 0.00067561085 0.0007179923 0.001591799 0.0031748724 0.0025541082 0.0046868944 0.0008301786 0.0010084301 0.0004836476 0.00086009497 0.00072048535 0.0120899435 0.001158012 0.0023048052 0.010429586 0.0043914705 0.0010670164 0.0035849756 0.003394259 0.0018847298 0.0017787761 0.000990979 0.0013125797 0.0016952596 0.0008999834 0.0009997046 0.000949844 0.0028968996 0.0011592584 0.0029978673 0.0013636868 0.0018273902 0.00077408546 0.0016167292 0.0008825322 0.003394259 0.0006594061 0.0010944396 0.0018012134 0.0015082825 0.0007242249 0.00056716404 0.0008488763 0.0024581265 0.0006631457 0.00088502525 0.000998458 0.0024518939 0.0024506473 0.0005546989 0.0006992946 0.027824694 0.0060730185 0.0011019188 0.005945874 0.0065840892 0.0010508116 0.0006855829 0.0007603738 0.0072995885 0.0009847464 0.0018311297 0.0009261602 0.009209248 0.0021876327 0.0041284557 0.0026139407 0.010146627 0.0030776442 0.0030975884 0.0036410687 0.015005541 0.004027488 0.0043353774 0.06947448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001789532 0.0 0.0 0.00052137446 0.00024663823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010464329 0.0 0.0 0.0044401125 0.0029983716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000628147 0.0 0.0 0.00037401594 0.00027660947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005550921 3.7464035e-06 1.8107618e-05 6.743526e-05 0.00014985613 7.617687e-05 6.244006e-06 7.492807e-06 1.5610014e-05 0.0 0.0 1.8732018e-06 8.1172075e-06 3.122003e-06 4.9952046e-06 0.00036090353 0.006138482 0.000207301 0.00021479379 0.0005544677 0.0019237782 0.0004914033 0.0024638847 0.0010720958 0.00019606178 0.000101152895 9.3035684e-05 7.555247e-05 0.0006762258 0.00038275754 0.00040336276 0.0029084578 0.013413997 0.0006456302 0.00095221086 0.0020954884 0.004157259 0.003633387 0.007013892 0.003231273 0.00045706122 0.00023727222 0.00031282468 0.0003328055 0.002096737 0.0011120575 0.0011295406 0.009050686 0.020913048 0.0013118656 0.0012419327 0.0020923663 0.007366678 0.0025787745 0.006737282 0.0032787274 0.002408313 0.0009815576 0.0009834309 0.0013449588 0.004086077 0.0026680636 0.0026924154 0.0096469885 0.0203642 0.0015728651 0.0012600403 0.002283433 0.009493386 0.0040723407 0.00592681 0.0034317055 0.0058525065 0.0014236333 0.0017914053 0.0023215213 0.0038900157 0.0017851612 0.0040735896 0.009741274 0.074571535 0.009891129 0.007335458 0.010157124 0.042379316 0.03083415 0.021465018 0.014057755 0.051862713 0.005331132 0.006101018 0.009211781 0.016914386 0.0071269083 0.027648458 0.061531555 0.06071359 0.010206452 0.00918743 0.01175996 0.0283328 0.030837895 0.017804783 0.014720868 0.050197434 0.0059299325 0.0065318546 0.009219899 0.021258967 0.01102067 0.025273237 0.04889681 0.00023539901 4.8078844e-05 8.679168e-05 5.244965e-05 9.116248e-05 9.990409e-05 4.370804e-05 6.618646e-05 0.00013549492 2.9346827e-05 3.371763e-05 2.9346827e-05 8.491848e-05 6.0566857e-05 7.3679264e-05 0.0001080213 5347.0 15.366561 82165.0 0.0056958557 0.00013387695 0.00058419036 9.736506e-05 0.0035051422 0.000596361 0.00013387695 0.00018255948 0.0004138015 0.00042597213 0.00076674984 0.00060853164 0.00052333716 0.014909024 0.0011805514 0.0004868253 0.02482809 0.016819814 0.025947789 0.01153776 0.021213412 0.013898862 0.022600865 0.010771009 0.025181038 0.013959715 0.0008641149 0.0005355078 0.0009979919 0.0005598491 0.000121706325 0.00014604759 0.0014239639 0.008921074 0.0077405223 0.015176779 0.0074605974 0.016868496 0.0049412767 0.0032130468 0.0051481775 0.018401995 0.0025680035 0.004174527 0.0071319905 0.0069737723 0.004637011 0.009639141 0.0134972315 0.0027383922 0.006255705 0.021408143 0.01366762 0.0065478003 0.006170511 0.0036511896 0.0029087812 0.005598491 0.0015943528 0.0031278525 0.0012170633 0.0029209517 0.003042658 0.023209395 0.0002677539 0.03176535 0.012779164 0.027761212 0.026592832 0.05481653 0.011148299 0.010357208 0.018913163 0.035927705 0.0077283513 0.006852066 0.024475142 0.012158462 0.03827664 0.035282664 0.018621067 0.0025680035 0.039554555 0.029404247 0.04231729 0.011196982 0.009797359 0.005890586 0.01347289 0.006985943 0.0010953569 0.00030426582 0.0005720197 0.0002677539 0.00031643643 0.00032860707 5.773718 0.0 2.0 14.0 4.0 802237.0 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 -6.5748615 0.0 0.0 0.0 0.0 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: 0.07432709 0.0021316528 0.00456543 0.0029388429 0.0027572631 0.002961731 0.0024673461 0.0053741457 0.0020568848 0.003225708 0.0028778077 0.002507019 0.0021575927 0.0016723633 0.0029541017 0.002142334 0.0023498535 0.0017715454 0.0016708374 0.0017333984 0.0030227662 0.0024597168 0.00483551 0.002534485 0.005838013 0.003909302 0.0017242432 0.0018310547 0.0033981323 0.0020599365 0.00307312 0.001763916 0.0022781373 0.0020477294 0.0014724731 0.0016845703 0.0035629272 0.0026672364 0.0017715454 0.0020523071 0.0044754026 0.0017303467 0.0017410278 0.0020614625 0.0018951416 0.0035736084 0.0032333373 0.0023223876 0.25640106 0.0023788451 0.0018569946 0.0023895265 0.0026824952 0.0022232055 0.0014373779 0.0014694214 0.0025985718 0.0013717652 0.0022369386 0.0015457154 0.0026901246 0.0036865235 0.0016845703 0.00186615 0.0028396607 0.0015579223 0.0013427734 0.0017868042 0.0029663085 0.0034835816 0.0023239136 0.005471802 0.00446167 0.0041030883 0.0021392822 0.0027206421 0.0037399293 0.0019973754 0.0029251098 0.004121399 0.004626465 0.0028472901 0.0015335083 0.0030120849 0.0043670656 0.0022140504 0.002168274 0.0033569336 0.0039352416 0.0034729005 0.0024642944 0.0032241822 0.0046295165 0.0026290894 0.0034683228 0.0027877807 0.003665161 0.0036239624 0.0025390624 0.00493927 0.002531433 0.0043045045 0.0025558472 0.0042022704 0.0023910522 0.0024627685 0.0014862061 0.0038848878 0.0016372681 0.002745056 0.0014297485 0.0020172119 0.0026428222 0.0020874024 0.00206604 0.0018493652 0.0021911622 0.0014144897 0.0012908935 0.002796936 0.004586792 0.0025939941 0.0035308837 0.0019607544 0.0020492554 0.0014190674 0.0018875122 0.0040878295 0.0020599365 0.001751709 0.0015869141 0.0018432618 0.0018463135 0.0027404786 0.001550293 0.0019577027 0.0018218994 0.003175354 0.002253723 0.0030899048 0.0021133423 0.0015655517 0.0014236451 0.0028839111 0.0025512695 0.0030578612 0.0023773194 0.0017059327 0.002658081 0.0018722534 0.0017440796 0.0016555786 0.0035491944 0.0020370483 0.0015869141 0.0015411377 0.003755188 0.0021438599 0.0020065308 0.001600647 0.0037139892 0.0028076172 0.0024398803 0.0033355714 0.0030151368 0.0024597168 0.002003479 0.0021209717 0.0042892457 0.0025909424 0.0014831543 0.0035949708 0.0021331788 0.0029464723 0.0021743774 0.003086853 0.002041626 0.0016220093 0.0018341064 0.0016067505 0.0021377564 0.0011901855 0.0010528564 0.0015991211 0.0023895265 0.0031066895 0.006416321 0.0024627685 0.0024215698 0.0016372681 0.0021911622 0.0015060424 0.003945923 0.0036499023 0.0040740967 0.0038116456 0.002243042 0.0021453858 0.004815674 0.0035446167 0.004217529 0.001739502 0.0026168823 0.0022003173 0.0057510375 0.0022262572 0.0022994995 0.002029419 0.004597473 0.0039352416 0.0034088134 0.0022766113 0.0058547975 0.002545166 0.004537964 0.0025085448 0.0023468018 0.0021896362 0.0016494751 0.0028137206 0.0014785767 0.0020599365 0.0022079467 0.0035171509 0.0058517456 0.0030532838 0.0016616822 0.0026611327 0.002090454 0.0050613405 0.0040908814 0.0032363893 0.0023788451 0.0023895265 0.0021453858 0.0016998291 0.005302429 0.0023086548 0.0026367188 0.0023025512 0.0050369264 0.0014053344 0.002645874 0.0014480591 0.0026474 0.0019012451 0.0015579223 0.0011276245 0.0014144897 0.0011184693 0.001625061 0.0019714355 0.0011932373 0.001512146 0.0022354126 0.0023605346 0.04375963 3.0565336e-06 1.5282668e-06 0.0 1.8339202e-05 0.0 3.820667e-06 7.641334e-07 1.5282668e-06 1.8339202e-05 3.0565336e-06 2.2924003e-06 1.5282668e-06 1.5282668e-06 1.5282668e-06 1.5282668e-06 9.169601e-06 1.1462002e-05 4.5848005e-06 0.0030167988 7.641334e-06 6.8772006e-06 1.0697868e-05 6.8772006e-06 4.5848005e-06 7.641334e-06 7.641334e-06 8.405467e-06 9.169601e-06 6.1130672e-06 9.169601e-06 3.0565336e-06 0.0028907168 5.1196937e-05 3.132947e-05 0.00436473 3.132947e-05 3.132947e-05 2.9801204e-05 5.2725205e-05 4.8904538e-05 5.7310004e-05 3.8206672e-05 2.7508802e-05 2.9801204e-05 3.4386005e-05 7.946987e-05 2.5980537e-05 0.002726428 1.8339202e-05 2.8272936e-05 0.00012684615 2.8272936e-05 1.6810935e-05 5.883827e-05 3.8970804e-05 8.405467e-06 6.1130672e-06 1.1462002e-05 9.933734e-06 1.60468e-05 6.8772006e-06 1.0697868e-05 1.7575068e-05 0.0052618226 0.00010086561 0.00014289295 0.00816553 0.00015893974 0.00017193002 0.0003706047 0.00020860843 8.176228e-05 8.634708e-05 0.00034615243 0.000116912415 0.00013983641 0.00010774281 0.00011996894 6.953614e-05 0.0013830814 0.00021395735 0.00018797682 0.014168561 0.00026821083 0.00026668256 0.00042180164 0.00025445642 0.00017880721 0.00020478775 0.00020555189 0.00018415615 0.00023688136 0.00022541935 0.00021166496 0.00016734522 0.0024650944 0.00035761442 0.00027126737 0.015701413 0.00047452684 0.00043708432 0.0007924063 0.0005035639 0.00022924002 0.00028731415 0.00035073725 0.00027508804 0.0003660199 0.00036219924 0.0003728971 0.00022771176 0.0005417706 0.00049210194 0.00041568858 0.018113019 0.0004661214 0.00056087394 0.00050050736 0.00043097124 0.00032093603 0.0003889439 0.0004821682 0.00037366123 0.00055858155 0.0005394782 0.00055094017 0.00030336095 0.0043509756 0.00076948234 0.00068695593 0.019939298 0.00087646104 0.000968157 0.00073280395 0.00059296755 0.0006082502 0.000566987 0.00071446475 0.00059296755 0.00080845313 0.0007679541 0.0008550653 0.00059755234 0.0023848603 0.0006732015 0.000612835 0.015819853 0.000933771 0.00078782154 0.00096586463 0.0007641334 0.00059525995 0.00055094017 0.0006533341 0.00056545873 0.00079164223 0.00077177474 0.0008046325 0.0004936302 0.0026759952 0.0009238373 0.0008672914 0.017411543 0.0009482896 0.001099588 0.0010506834 0.00083366956 0.0006754939 0.000813038 0.0009842039 0.0006999462 0.0010820129 0.0010621455 0.0010331083 0.00070300273 0.0032338125 0.002158677 0.001827043 0.031123918 0.0022259206 0.0024459912 0.002125055 0.0017521579 0.0014625513 0.0017529221 0.0021930628 0.0017208285 0.0025055935 0.0023344276 0.002302334 0.0014335143 0.0036357467 0.0036968775 0.0028991222 0.041143235 0.0035417583 0.004073595 0.0037839888 0.003178031 0.002440642 0.002863972 0.0034920897 0.0029021788 0.004204262 0.0039085425 0.0041156225 0.0024521041 0.007590137 0.0047796546 0.0051586647 0.037677128 0.0071499962 0.0057707354 0.004821682 0.0043334006 0.005549901 0.003918476 0.0043960596 0.0038871467 0.006495134 0.0053810277 0.0053252457 0.0035715597 0.009981111 0.0066869315 0.005859375 0.033683766 0.00759625 0.0077414354 0.0069727176 0.005739406 0.0051074675 0.0054199984 0.0067090914 0.005304614 0.007820905 0.0074273767 0.007555751 0.004979093 0.023048555 0.023092112 0.019613013 0.028513638 0.023309126 0.026426027 0.023795115 0.019788763 0.01639983 0.018952802 0.023673616 0.01859213 0.026319811 0.02506434 0.025593884 0.016189694 2460.0 73.45935 180710.0 0.00058104144 0.0010403409 0.00028222013 0.00030988877 0.0007691882 0.00045929942 0.00042056333 0.00036522606 0.0010624758 0.00046483317 0.0003984284 0.0005533728 0.0005312379 0.0012672237 0.0006474462 0.00040949587 0.92375076 0.00041502962 0.00032648994 0.00040396216 0.00047590063 0.00042609707 0.0003375574 0.0005146367 0.00059210893 0.0003375574 0.00034309115 0.00035969232 0.0006474462 0.0018205965 0.0004316308 0.00069171604 0.0010458746 0.0006695811 0.00032648994 0.0005146367 0.0008079243 0.0008245255 0.000630845 0.001200819 0.0011565492 0.0012838249 0.00038182724 0.0005533728 0.0009075314 0.0005478391 0.0010735432 0.0011344142 0.000874329 0.0004537657 0.00030988877 0.0008964639 0.0012340214 0.00045929942 0.00079132314 0.00075812073 0.0019810747 0.0006363787 0.00060317636 0.00091306516 0.002910741 0.00070278347 0.0009019977 0.0007304521 0.0010071385 0.00071938464 0.001200819 0.0028830722 0.00075812073 0.001831664 0.0014111006 0.0012893586 0.00068064855 0.001200819 0.0003320237 0.0006474462 0.00089093024 0.0006861823 0.0007359858 0.0008466604 0.0005589065 0.00042609707 0.00091306516 0.0005533728 0.001056942 0.0005146367 0.00037075978 0.0005589065 0.00095180125 0.0009075314 0.0015826463 0.00032095623 0.00048143434 0.00046483317 0.00059210893 0.002971612 0.87126327 0.0 0.0 0.0 11.0 655360.0 655360.0 0.0 15.0 38.0 1.0 1.0 0.0 0.0 0.0 1538241800.0 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 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 12.0 0.0 5.0 0.0 5.0 0.0 364544.0 4096.0 4096.0 9.0 0.0 0.0 1.0 2.0 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 155648.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 -90112.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -356352.0 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 -5.0248075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5315857 0.0 0.0 0.0 0.0 1.3842573 0.0 0.0 0.0 -6.504352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9787085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.534927 0.0 3.430168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 154717.0 0.0 0.0 0.0 0.0 1840.0 0.0 0.0 0.0 -89198.0 0.0 0.0 0.0 0.0 0.0 -2988.0 0.0 0.0 -14560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -359414.0 0.0 1048.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 487.0 522870.0 180.0 519656.0 1048.0 634880.0 384.0 540672.0 0.0 0.0 332.0 638976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 368.0 368640.0 64.0 519212.0 0.0 0.0


Input: 0.91625476 0.00043845663 0.00019316621 0.004537873 0.0004445889 0.00014717426 0.00072360673 0.00010424843 0.0001318436 8.585165e-05 0.00035260498 0.00026062108 0.00021156299 0.00023609203 0.00014410813 6.438874e-05 0.0006714825 3.6793565e-05 0.00011344682 7.0521e-05 0.00010424843 4.2925825e-05 0.0001318436 6.132261e-05 7.9719386e-05 9.811617e-05 9.505004e-05 3.6793565e-05 6.132261e-05 6.438874e-05 3.3727432e-05 4.2925825e-05 0.0032623627 6.438874e-05 0.00034034046 5.5190347e-05 0.00010424843 0.00017476943 0.00019623234 8.585165e-05 0.00030048078 0.0002330259 9.198391e-05 4.2925825e-05 0.00017783555 0.00021769525 0.00031887754 0.00012877748 0.00029128237 0.000141042 0.00055190345 0.00012264522 0.00016557104 9.198391e-05 0.00013797586 3.6793565e-05 0.00014717426 7.358713e-05 0.00018703395 3.6793565e-05 0.00022689364 0.00027901787 0.00022689364 3.9859693e-05 0.0001318436 0.00088611164 0.00029434852 0.0009750294 0.0005917631 0.00054270506 0.00057336636 0.000659218 0.00019623234 0.00065308576 0.00011957908 0.00012571135 0.0004844486 0.00047831633 0.00025755496 0.00031887754 0.0005978954 7.9719386e-05 0.00057949865 0.00082478905 0.0005089776 0.00023915817 0.00033114207 0.0004047292 0.0001011823 5.8256475e-05 8.8917775e-05 7.358713e-05 0.00014717426 6.132261e-05 8.585165e-05 0.0005028454 0.00010731456 0.002753385 0.0005703002 0.0015851894 0.0014196184 0.005592622 0.00057949865 0.0010179552 0.0006745487 0.002658335 0.00015330651 0.00022689364 0.0023210607 0.0010731457 0.0026430043 0.002750319 0.0011007407 4.5991954e-05 0.0027227236 0.002256672 0.0042220615 0.0010210214 0.000377134 0.00048138245 0.00054270506 0.0005856309 0.00018090168 7.6653254e-05 8.585165e-05 3.3727432e-05 7.6653254e-05 1.8396782e-05 0.0004139276 5.5190347e-05 9.198391e-05 7.0521e-05 4.2925825e-05 0.00014410813 4.5991954e-05 3.6793565e-05 7.9719386e-05 3.9859693e-05 0.00011038069 0.00010424843 0.00011038069 0.00020849686 7.358713e-05 5.5190347e-05 8.278552e-05 2.7595173e-05 7.6653254e-05 5.2124215e-05 5.8256475e-05 3.3727432e-05 0.00019316621 3.9859693e-05 6.7454865e-05 3.0661304e-05 0.00011344682 2.7595173e-05 9.505004e-05 3.9859693e-05 3.0661304e-05 3.0661304e-05 8.585165e-05 2.4529043e-05 6.132261e-05 3.6793565e-05 7.9719386e-05 3.9859693e-05 4.5991954e-05 3.3727432e-05 7.6653254e-05 4.5991954e-05 6.7454865e-05 3.0661304e-05 7.0521e-05 3.0661304e-05 4.5991954e-05 2.4529043e-05 8.278552e-05 3.6793565e-05 0.00010424843 3.3727432e-05 7.9719386e-05 1.5330652e-05 3.9859693e-05 2.7595173e-05 8.585165e-05 4.9058086e-05 6.438874e-05 4.2925825e-05 5.5190347e-05 3.3727432e-05 6.438874e-05 2.7595173e-05 7.6653254e-05 3.3727432e-05 8.278552e-05 2.4529043e-05 0.00011651295 3.6793565e-05 0.00012877748 4.5991954e-05 7.9719386e-05 2.1462913e-05 6.132261e-05 2.4529043e-05 6.7454865e-05 4.5991954e-05 7.9719386e-05 5.5190347e-05 7.0521e-05 0.00011038069 0.0001625049 0.00012264522 0.00017783555 0.0001011823 0.00012571135 0.00011651295 0.00019316621 0.00010731456 0.00015637264 0.00010731456 0.00013797586 0.00011957908 0.0001625049 0.00013797586 0.000141042 0.00015024039 0.00019316621 0.00012571135 0.0002238275 0.00011651295 0.00017783555 0.000141042 0.00021462912 0.00011651295 0.0001717033 0.00010731456 0.000141042 0.00014410813 0.00024835655 0.00011957908 0.00012264522 0.000141042 0.00020849686 0.00015024039 0.00016557104 0.00015024039 0.00019010008 0.00015330651 0.00021769525 0.00047218407 0.00020849686 0.00013490973 0.00014410813 0.00011651295 0.0002514227 0.0006684164 0.71604365 1.5403194e-06 0.0 3.0806389e-06 4.6209584e-06 7.701597e-06 4.6209584e-06 1.5403194e-06 3.0806389e-06 1.5403194e-06 1.5403194e-06 0.0 3.0806389e-06 0.0 6.1612777e-06 6.1612777e-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 0.16776542 0.0006484745 0.0021656891 0.0006762002 0.0009365142 0.0009704012 0.0051770136 0.0029697358 0.00022796728 0.0002387495 8.779821e-05 7.547565e-05 7.3935335e-05 9.54998e-05 0.00014170939 0.0007147082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007692355 8.779821e-05 0.00012014491 0.00010628204 0.00011552395 9.704012e-05 0.0002387495 0.00018945929 0.00016481418 5.54515e-05 3.5427347e-05 5.54515e-05 5.699182e-05 0.00017559642 0.00013708843 0.0001355481 0.002251947 3.0806386e-05 0.00015249162 6.1612777e-06 2.310479e-05 6.1612777e-06 0.00044823295 0.0001586529 2.1564472e-05 3.0806389e-06 4.6209584e-06 6.1612777e-06 3.0806389e-06 4.6209584e-06 1.8483834e-05 1.5403193e-05 0.007301114 0.00011398364 0.0004852006 0.00011552395 0.00048828125 0.00025877365 0.002310479 0.0011706428 9.54998e-05 3.6967667e-05 1.6943513e-05 3.2346707e-05 3.5427347e-05 1.6943513e-05 4.620958e-05 9.395948e-05 0.01090084 4.77499e-05 0.00058840204 0.0001355481 0.004537781 0.0023351242 0.014491325 0.007179429 3.8507984e-05 3.3887027e-05 3.8507984e-05 5.391118e-05 5.0830542e-05 9.241916e-05 0.00038353953 0.000101661084 0.003756839 6.0072456e-05 0.0014679243 0.0005853214 0.00014941097 0.00010936268 0.0015341581 0.00091494975 0.00010782236 4.1588624e-05 3.6967667e-05 4.1588624e-05 3.5427347e-05 0.00030806387 5.237086e-05 0.0002618543 0.009449859 0.00032192675 0.00026493493 0.00040818463 0.00060996646 0.00044823295 0.0013000296 0.000776321 0.0005237086 0.00026493493 0.00021564472 0.00021718504 0.00032192675 0.0010674413 0.0011552395 0.001581908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019977943 0.0002064028 0.00033116867 0.0005375715 0.00024028982 0.0002772575 0.0004959828 0.00033424931 0.0002772575 0.0001509513 0.0001509513 0.00014787067 0.00022642696 0.00015249162 0.00040510402 0.00037737825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 784.0 14.86097 11651.0 0.021199897 8.5829546e-05 0.004548966 0.0 8.5829546e-05 8.5829546e-05 0.0 0.0 8.5829546e-05 0.0 0.00017165909 0.0 8.5829546e-05 0.0025748862 0.0029182045 0.0021457386 0.0017165908 0.0014591023 0.0026607157 0.002231568 0.0015449318 0.0012874431 0.0012016136 0.0004291477 0.0012016136 0.00094412494 0.0007724659 0.0 0.002832375 0.0023173976 0.0029182045 0.00034331818 8.5829546e-05 0.021114068 0.0059222383 0.019740794 0.012016136 0.0113295 0.0113295 0.017165909 0.0027465455 0.014419363 0.00034331818 0.0012874431 0.008067977 0.009870397 0.002059909 0.0057505793 0.013389409 0.0006008068 0.011930306 0.018110033 0.0092695905 0.002832375 0.0037764998 0.008668784 8.5829546e-05 0.00017165909 0.00025748863 0.0 0.0 8.5829546e-05 8.5829546e-05 0.0024890567 8.5829546e-05 0.051755216 0.007724659 0.025405545 0.025748862 0.12402369 0.006780534 0.020341601 0.00935542 0.048064545 0.0013732727 0.0042056474 0.044030555 0.02059909 0.046262123 0.05089692 0.017680885 0.0004291477 0.04849369 0.03407433 0.08754613 0.016565101 0.0046347952 0.00935542 0.010814522 0.009183761 0.0007724659 0.0004291477 0.0 0.0004291477 8.5829546e-05 0.0 5.113031 0.0 1.0 0.0 1.0 326144.0 425984.0 0.0 0.0 764.0 0.0 1.0 0.0 0.0 0.0 1472423300.0 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 5.0 10.0 4.0 0.0 4.0 0.0 235520.0 1536.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -235520.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.074826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.9690852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.1173891 0.0 5.143283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -149072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -235335.0 0.0 8192.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -3.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 1.0 -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 0.0 2.0 0.0 -1.0 -2.0 2.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 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 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 -2.0 1.0 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 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 -2.0 1.0 1.0 -2.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 -3.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -2.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 2.0 -1.0 0.0 0.0 1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 2.0 -1.0 -1.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 2.0 -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 1.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -2.0 -2.0 1.0 3.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -2.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 -1.0 0.0 1.0 1.0 1.0 -1.0 -2.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 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 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 3.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -3.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 -2.0 -1.0 0.0 0.0 -1.0 -1.0 -4.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 246796.0 6152.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3100.0 241664.0 0.0 0.0 0.0 0.0


Input: 0.16100818 0.010326135 0.008159626 0.00825235 0.007096878 0.0037713307 0.003644728 0.0050872844 0.005779141 0.0019560992 0.0021789912 0.0018134484 0.005131863 0.0026319074 0.0013730141 0.010525847 0.0045576934 0.0013123874 0.0015941227 0.0012820741 0.002861932 0.0064709974 0.0011162426 0.0010074714 0.0025837629 0.0011126763 0.0009165314 0.0011519053 0.0022610154 0.0016208699 0.0010395678 0.0014140261 0.009771581 0.0010056882 0.0013837129 0.0012606765 0.0060127317 0.0022342682 0.00090226636 0.00096824236 0.0021718584 0.0009932063 0.0009218808 0.0019240028 0.0021504608 0.0015138817 0.0013908454 0.0009825075 0.004220681 0.0025249193 0.0027941726 0.0076460834 0.003072342 0.005030224 0.0022556658 0.0026854016 0.0041029938 0.0037445838 0.0027246305 0.006347961 0.0043918616 0.004327669 0.0032684866 0.006797311 0.0044239582 0.0028423173 0.0013480502 0.0023002443 0.0051532607 0.02440577 0.005709599 0.008981652 0.0024981722 0.001900822 0.00076496496 0.0009486279 0.0023715696 0.0037142704 0.0016208699 0.0015673757 0.015762914 0.002785257 0.0021344128 0.009516592 0.0028744137 0.0030598599 0.005502755 0.004687862 0.0033184143 0.009534423 0.00084698916 0.0014639539 0.002284196 0.0030420285 0.0015816408 0.0022931118 0.0021932563 0.0037659814 0.0012303633 0.0021789912 0.0034254026 0.006991673 0.005135429 0.0014461225 0.009311532 0.0055241524 0.006192828 0.0012464115 0.0038622706 0.0020274245 0.0038444393 0.0044524884 0.0033629928 0.00084698916 0.004324103 0.0037089211 0.014734046 0.012779729 0.0016244361 0.0016012554 0.0038123429 0.0017367736 0.0008505554 0.0012517609 0.0022324852 0.0049553323 0.0017082434 0.003894367 0.0054938393 0.0019115208 0.0008666037 0.008662471 0.0057024662 0.015110287 0.0008327241 0.00083094096 0.002876197 0.008364687 0.0016797133 0.01608388 0.001981063 0.012357126 0.00084163976 0.00082024216 0.00350921 0.00073821796 0.0006793745 0.0006133985 0.0038979333 0.0008113265 0.00068115763 0.00055990444 0.0019614487 0.0021486778 0.0007114709 0.00075426616 0.0020969668 0.0017599544 0.0007168203 0.001043134 0.0039835237 0.0024357627 0.0023180756 0.0047092596 0.0025641483 0.0019578824 0.0008220253 0.0008790856 0.0021504608 0.0010074714 0.0008541217 0.0016600988 0.00393003 0.00077031436 0.00067580823 0.0007881457 0.0016547494 0.00070790463 0.00072395283 0.00075961556 0.0016886289 0.0026943171 0.0017367736 0.0010645316 0.002401883 0.0009932063 0.0008880013 0.0008006277 0.001995328 0.0018027496 0.0013266525 0.0020363403 0.009876786 0.0027442449 0.0017670869 0.0038587044 0.0041243914 0.0014924841 0.0023448227 0.004621886 0.002416148 0.002109449 0.0010930619 0.00098964 0.0026051605 0.0012178813 0.00093079655 0.0012036161 0.0043882956 0.0011073269 0.00143899 0.0015138817 0.0014835685 0.0011180257 0.0026069435 0.002177208 0.0035288243 0.001795617 0.00084698916 0.0018687256 0.0019864126 0.0024714253 0.0009379291 0.0011091101 0.003181113 0.0011126763 0.0010538328 0.0009379291 0.0016868458 0.0010591822 0.0009093989 0.00079171197 0.0144005995 0.0031436672 0.00080419396 0.0053904173 0.0027941726 0.00094684475 0.0011251583 0.0011269414 0.00398709 0.0009807243 0.0016404843 0.001412243 0.0016779301 0.0008630374 0.0029118597 0.0022414008 0.003855138 0.002006027 0.0011394233 0.0012624597 0.0036358126 0.0032346072 0.00338974 0.04958542 0.0054945056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016794729 0.0 2.4145776e-05 1.8780049e-05 1.788576e-06 5.365728e-06 6.796589e-05 3.3982946e-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 0.0014398036 0.0 0.00025576638 8.94288e-06 1.0731456e-05 1.2520032e-05 7.154304e-05 2.7722928e-05 0.0 0.0 8.94288e-07 8.94288e-07 2.682864e-06 0.0 0.0 0.0 0.0018028846 6.260016e-06 6.260016e-06 0.0001869062 0.0008298993 0.0006993332 1.2520032e-05 1.4308608e-05 1.6097185e-05 1.5202896e-05 1.4308608e-05 1.6991473e-05 1.4308608e-05 9.837168e-06 9.837168e-06 8.0485925e-06 0.0036835724 0.00015560612 0.00071632466 7.0648755e-05 0.00010016026 6.2600164e-05 0.000270075 0.0001269889 7.243733e-05 2.0568625e-05 2.4145776e-05 8.0485925e-06 2.7722928e-05 2.7722928e-05 3.577152e-06 0.00012430604 0.008702316 0.00022983202 0.00035503233 0.00019584908 0.0007154304 0.00030674078 0.0008728251 0.00051153277 0.000105525985 7.333162e-05 0.00017259759 7.154304e-05 7.601448e-05 0.00021373483 9.2111666e-05 0.00012609462 0.0012815148 5.365728e-06 0.0001565004 9.3005954e-05 0.0007628277 0.0005267356 0.00047576122 0.0002986922 4.47144e-06 6.260016e-06 5.365728e-06 2.682864e-06 7.154304e-06 8.94288e-06 1.341432e-05 1.4308608e-05 0.012571006 0.00044982685 0.0039330786 0.0010516827 0.0048676096 0.0033455314 0.014870221 0.008603944 0.00021552341 0.00012251746 0.00019584908 0.000223572 0.00015202897 0.00013950893 0.000118940305 0.00042120964 0.016850175 0.00054909283 0.0050455728 0.002714164 0.0042523392 0.0032713055 0.010745765 0.0071829213 0.0006912846 0.00034430088 0.0010051797 0.00047933837 0.0006716103 0.0007279504 0.0003809667 0.0018645904 0.013033354 0.0019101992 0.0030978136 0.024469508 0.0034295944 0.003045945 0.005434588 0.005008907 0.0029502562 0.0021310884 0.003400083 0.0019084106 0.0021749085 0.0025317294 0.0019575965 0.004102099 0.011589078 0.0012528975 0.0013673664 0.0043703853 0.0018681677 0.00088981655 0.00229206 0.0034501632 0.0022214113 0.001630287 0.0030110676 0.00109282 0.0015032982 0.0018967849 0.0015015096 0.005850432 0.04325045 0.0057833605 0.00397511 0.007268773 0.010559753 0.011824276 0.0055070254 0.00848411 0.019796854 0.0036433293 0.0043086796 0.003822187 0.008556548 0.005431011 0.0077025024 0.0185842 0.11059034 0.018633384 0.0134965945 0.02170884 0.040043533 0.04375125 0.019098414 0.026300116 0.055091716 0.011459406 0.016181247 0.012159634 0.026918963 0.01595678 0.02531461 0.04878967 0.0049355756 0.0033956117 0.003229274 0.0039429157 0.0032802485 0.0031416337 0.003241794 0.0035073976 0.0034725203 0.0032838255 0.0032552083 0.0035234948 0.003409026 0.0035109748 0.003471626 0.0041754306 4752.0 12.333123 58607.0 0.05378197 0.0017574693 0.0052894703 0.003207808 0.0047946493 0.010596004 0.0018939717 0.002576484 0.0039585717 0.0029859915 0.0022864162 0.0021669767 0.0046752095 0.004709335 0.006296176 0.003207808 0.013053048 0.008787346 0.011653898 0.009503984 0.008224273 0.007968332 0.007661201 0.011022574 0.009162728 0.008343713 0.010015869 0.007968332 0.011159076 0.009776989 0.0092480425 0.009674612 0.002474107 0.012251096 0.0042827646 0.012251096 0.010920198 0.015885474 0.009947618 0.005886669 0.0058354805 0.010425376 0.0012285222 0.0031736824 0.008565529 0.008719095 0.00820721 0.008275462 0.011415019 0.0022864162 0.011722149 0.028170696 0.011858651 0.0064497413 0.0063473647 0.010135308 0.0039585717 0.003907383 0.0015868412 0.0030713056 0.007456447 0.003207808 0.0020816626 0.009452796 0.0074223215 0.02771 0.0066203694 0.014964083 0.020202365 0.055044618 0.0065350556 0.0077806404 0.011346768 0.028051257 0.003378436 0.0049140886 0.024877574 0.012472913 0.028597267 0.03485932 0.011943966 0.0013991502 0.029791662 0.026583856 0.04236695 0.015629532 0.006227925 0.0062620505 0.0057160407 0.007217568 0.0017915949 0.006586244 0.0024399816 0.018461958 0.0018427833 0.0021157882 6.075469 3.0 0.0 38.0 5.0 560810.0 606208.0 0.0 0.0 347.0 1.0 1.0 0.0 0.0 0.0 1541158500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 360960.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 101888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -360960.0 0.0 58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3217044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.146425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4075658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5857496 0.0 7.02704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 101508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -360596.0 0.0 58344.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 -3.0 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 -2.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 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 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -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 -1.0 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 2.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -3.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 0.0 240.0 462252.0 58344.0 512000.0 0.0 0.0 0.0 0.0 26524.0 573440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 461104.0 0.0 0.0 1496.0 368640.0 0.0 0.0 0.0 0.0