Input: 0.006927021 0.003712739 0.0036493477 0.0038321821 0.0036593569 0.003727753 0.0037474376 0.0039379457 0.0037177438 0.0037000608 0.0037801343 0.0038752216 0.0038915698 0.0038475294 0.0039326074 0.0039963326 0.0036586896 0.00381183 0.0037067337 0.0038168347 0.0037898098 0.003745102 0.003766455 0.0038325158 0.0037290875 0.0037617842 0.0037284202 0.0038278447 0.0038301803 0.0038862317 0.00392093 0.004079075 0.0037734616 0.003758114 0.0037567795 0.0038505322 0.0038094947 0.003824842 0.003752776 0.0039356104 0.0038385212 0.003733091 0.00379715 0.0037984846 0.0038111627 0.0038642115 0.0038612087 0.003981986 0.003665696 0.003854536 0.0038431922 0.0038732197 0.0039092526 0.003892237 0.0038181692 0.003947955 0.003726752 0.0038929044 0.003865546 0.003981986 0.0039980006 0.003986657 0.00408775 0.004116443 0.003792479 0.0038061582 0.0036970582 0.003901579 0.003865546 0.0038178356 0.003772127 0.0040347013 0.003720413 0.003840523 0.0037307558 0.0038028217 0.003834851 0.0038375203 0.0038615423 0.0040203547 0.0038388548 0.0037744625 0.0037631188 0.0038518668 0.003799819 0.0038675477 0.0038725524 0.003910587 0.003771126 0.0038048236 0.003946954 0.0039159255 0.0038588732 0.003834851 0.003947288 0.0040780744 0.0036516832 0.0037868072 0.0037694578 0.0038742207 0.0037704587 0.0039332747 0.003877557 0.0039199293 0.0038508659 0.003934943 0.0038121636 0.0039252676 0.0037781324 0.003816501 0.0038962408 0.004042375 0.0037080683 0.003875889 0.0038915698 0.0039549614 0.0038889009 0.0039179274 0.003907918 0.0040633944 0.003880226 0.0039846553 0.0039659715 0.00410243 0.0041084355 0.004168157 0.004170159 0.004119112 0.0037921453 0.0037214137 0.003803489 0.0038064918 0.0037504404 0.0038141655 0.0037884752 0.003936945 0.0037547776 0.0038411904 0.0038842298 0.0038642115 0.0037828034 0.0038445266 0.0038638778 0.0040463787 0.0037848053 0.003853535 0.0038889009 0.0038658797 0.0038208384 0.0038438595 0.003908919 0.00394295 0.0038548696 0.0038341838 0.0038752216 0.003940615 0.0038181692 0.0038935717 0.0039789835 0.0040333667 0.0037811352 0.0039252676 0.0039332747 0.003941282 0.0038648788 0.003869216 0.0038905689 0.003975313 0.0038074928 0.003795148 0.003912589 0.0039362777 0.0037948145 0.003943284 0.0038548696 0.0040176855 0.0037237492 0.0038461948 0.0039065834 0.0039242664 0.003921931 0.003910587 0.0038258429 0.003955962 0.0038225064 0.003980318 0.003949623 0.003960967 0.00392093 0.0040714014 0.0040657297 0.0042011873 0.0037474376 0.0037874745 0.0037444348 0.0038688823 0.0038752216 0.0038134982 0.0038114963 0.003953627 0.0038625433 0.0039456193 0.003860875 0.00391726 0.0038315149 0.003961968 0.003881227 0.0040880833 0.0038215057 0.003972978 0.003862877 0.003957964 0.003921264 0.0038458612 0.0038632106 0.0039826534 0.0038438595 0.0039225984 0.0038782242 0.003919262 0.0039456193 0.003999669 0.004043042 0.0041494733 0.0038448602 0.0039119218 0.00390992 0.0039032472 0.0038615423 0.0039362777 0.003955962 0.00410243 0.0038795588 0.0039309394 0.004001337 0.0039029135 0.0039919955 0.0040333667 0.0039973333 0.004195849 0.0039896597 0.0040393723 0.004027361 0.004094089 0.004074738 0.0041324575 0.00410243 0.004182837 0.004046712 0.004187508 0.004190177 0.0041631525 0.004148472 0.004170826 0.004130789 0.0044587567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002471444 6.675068e-07 1.8356438e-06 2.0025204e-06 1.1347616e-05 9.1782185e-06 4.0717918e-05 1.9524576e-05 3.1706575e-06 6.675068e-07 1.1681369e-06 5.006301e-07 6.675068e-07 8.3438357e-07 1.5018903e-06 8.3438357e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003676294 1.3350136e-06 6.3079395e-05 9.845726e-06 1.7021424e-05 1.6020163e-05 0.0001246569 7.075573e-05 1.1681369e-06 1.1681369e-06 1.6687671e-06 1.6687671e-06 1.8356438e-06 2.3362738e-06 8.3438357e-07 2.5031507e-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 0.00048811437 2.386337e-05 6.341315e-05 2.0525835e-05 3.2374082e-05 3.43766e-05 6.825257e-05 4.8894875e-05 5.2065534e-05 1.9190822e-05 1.71883e-05 1.9691452e-05 2.636652e-05 1.71883e-05 1.568641e-05 7.80983e-05 0.00070755725 6.274564e-05 0.000116813695 8.977967e-05 6.091e-05 4.9395505e-05 0.0001740524 0.00012532441 6.3246276e-05 5.473556e-05 4.5724217e-05 9.945852e-05 5.2399286e-05 5.0396768e-05 6.3580024e-05 0.00023446178 0.00054852373 5.8740603e-05 6.758507e-05 5.173178e-05 6.291252e-05 6.024249e-05 6.4748165e-05 6.4080654e-05 0.000104464816 5.740559e-05 5.523619e-05 7.159011e-05 8.1435835e-05 6.942071e-05 7.159011e-05 0.00021910912 0.0002601608 4.65586e-05 4.0717918e-05 6.174438e-05 9.078093e-05 5.623745e-05 4.455608e-05 4.7392987e-05 4.5891094e-05 4.5557343e-05 4.4389206e-05 4.355482e-05 5.022989e-05 4.355482e-05 4.7893616e-05 5.6070574e-05 0.061136283 0.060714588 0.060807202 0.062231496 0.06102681 0.061613217 0.061136115 0.0633469 0.06104567 0.06197584 0.06209549 0.062769674 0.06175623 0.062766336 0.063177355 0.06556553 13675.0 5.761828 78793.0 0.012437653 0.010038963 0.010064346 0.010229335 0.010242026 0.010178569 0.010508548 0.010077037 0.009683602 0.009747059 0.009886665 0.009950123 0.010191261 0.011181196 0.009988197 0.010140494 0.009315548 0.009797825 0.010762378 0.010572005 0.01052124 0.010965441 0.010470473 0.01001358 0.010280101 0.009899356 0.010051655 0.009950123 0.011396951 0.010026271 0.011257345 0.010483164 0.009721676 0.010673537 0.009772441 0.010318176 0.010901984 0.010254718 0.01052124 0.011270037 0.010191261 0.011181196 0.010140494 0.009797825 0.0102674095 0.010559314 0.010965441 0.01052124 0.010813143 0.010000888 0.010127803 0.009658218 0.010457782 0.011155813 0.010330867 0.01052124 0.010559314 0.010178569 0.009899356 0.010635463 0.010242026 0.009747059 0.010064346 0.010457782 0.0092394 0.010825835 0.010572005 0.010775069 0.010077037 0.011473101 0.011244654 0.010026271 0.009861282 0.011409643 0.009683602 0.0099120485 0.010330867 0.010559314 0.011371569 0.01172693 0.009848591 0.01010242 0.010965441 0.011282728 0.011066973 0.010597388 0.010178569 0.009937431 0.0103816325 0.010648154 0.010203952 0.010940058 0.011206579 0.010432399 0.0109781325 0.00992474 6.5829144 0.0 0.0 0.0 49.0 2997248.0 3010560.0 0.0 0.0 32.0 1.0 1.0 0.0 0.0 0.0 1539914400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 2048.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 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 -2048.0 0.0 2990080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4358428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1545463 0.0 0.0 0.0 0.0 0.0 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 -5.876745 0.0 7.9987564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -314.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2626.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1861.0 0.0 2989692.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 9932.0 2989692.0 16384.0 0.0 0.0 0.0 0.0 160.0 3006464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.25434175 0.028549057 0.00448251 0.0036203195 0.0047552437 0.004412127 0.0023446297 0.0025073902 0.005049972 0.0022214598 0.002709741 0.001948726 0.0019663218 0.002269848 0.0016847902 0.0050675673 0.004913605 0.001702386 0.001574817 0.0015044342 0.0021994652 0.004579286 0.001442849 0.001442849 0.0035675324 0.0021730715 0.0013504715 0.0014956363 0.0014164555 0.0013504715 0.0011833123 0.0017111838 0.007838894 0.0018783432 0.0017991625 0.0013108812 0.01101932 0.0016100084 0.0013768652 0.0014384502 0.0031628308 0.0012360994 0.0013064822 0.0017111838 0.0014252533 0.004051415 0.0021202844 0.0013944609 0.0051291524 0.0017683699 0.0014516469 0.0040778085 0.0021246832 0.0011613176 0.001200908 0.0013504715 0.003149634 0.0019091357 0.0013592694 0.002195066 0.0017331785 0.0015880138 0.001442849 0.0016012106 0.011182081 0.005186339 0.00201471 0.002516188 0.0055690454 0.0038270692 0.0019927153 0.0016979871 0.032037407 0.0040074256 0.0014340512 0.0018739443 0.006506018 0.002709741 0.0017331785 0.0017111838 0.003391575 0.0015616202 0.0021158855 0.0025381828 0.0026657516 0.0017287795 0.0021114864 0.0027801238 0.0025689753 0.001196509 0.0019311303 0.0018519496 0.0034619581 0.0015572213 0.0018783432 0.0028637035 0.0029296875 0.0045001055 0.0018651464 0.0033959742 0.0035191441 0.006061726 0.0033783785 0.002071896 0.0032640062 0.0039414414 0.0011877111 0.0019311303 0.004271361 0.0027625281 0.0040558134 0.0043769353 0.0045045046 0.001513232 0.0051423493 0.0043989304 0.0081380205 0.0040778085 0.0018299549 0.0024370074 0.003272804 0.0022654491 0.0019971144 0.0017199817 0.0026745496 0.0015440244 0.00189154 0.0020323058 0.0043285475 0.0019707207 0.0014604448 0.007306623 0.002766927 0.0057010134 0.0014340512 0.0016979871 0.0034443624 0.008050042 0.001640801 0.018677857 0.0016276041 0.007768511 0.0014604448 0.0016232053 0.0029164907 0.0013724662 0.0013768652 0.0015308277 0.0016847902 0.0019223324 0.0015044342 0.0016935881 0.0019091357 0.0014868384 0.0013724662 0.0014120566 0.0015880138 0.0014120566 0.0015660191 0.0014120566 0.0025557785 0.0017903646 0.0018607475 0.0017243807 0.002010311 0.0021598747 0.0017551731 0.0017331785 0.0022214598 0.0019575239 0.0016451998 0.0019751196 0.0017771678 0.0021246832 0.0018651464 0.0019575239 0.002524986 0.0013724662 0.0013592694 0.001442849 0.0017507742 0.0018651464 0.001702386 0.0019135346 0.002771326 0.0019267314 0.0019883164 0.0016935881 0.0017595721 0.0014384502 0.0017199817 0.0019795187 0.0061277095 0.0027141399 0.0024238105 0.004222973 0.0037346918 0.0017243807 0.0019047367 0.002973677 0.0028549058 0.002648156 0.001702386 0.0023402309 0.009954779 0.0016232053 0.0020982898 0.0024502042 0.0025689753 0.0018079603 0.0022786458 0.0017067849 0.0014692427 0.0015968117 0.0016320031 0.001953125 0.002454603 0.0021334812 0.0015176309 0.00226105 0.0016144074 0.001447248 0.0016276041 0.0018475506 0.0025557785 0.0016012106 0.0014956363 0.0014296523 0.0013284769 0.0016276041 0.0012844877 0.0015660191 0.006286071 0.0030088683 0.0015352266 0.00283731 0.003391575 0.0015264287 0.0012141047 0.0017771678 0.0034443624 0.0017331785 0.0015924127 0.0015616202 0.0016144074 0.0017683699 0.002208263 0.0019971144 0.0035763301 0.0018959389 0.001763971 0.0016451998 0.0019971144 0.001636402 0.002634959 0.030990463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038753182 3.9769515e-05 2.2094175e-05 2.4303592e-05 2.4303592e-05 1.9884757e-05 1.1047087e-05 1.767534e-05 3.7560098e-05 1.9884757e-05 2.651301e-05 1.9884757e-05 2.8722427e-05 1.767534e-05 2.4303592e-05 0.0003159467 0.014171204 0.00030489962 0.0003292032 0.00015465922 0.00046618708 0.00013035563 0.00031373728 0.00030710903 0.00013698389 0.00023419825 9.9423785e-05 0.00012814622 0.00018117223 0.00020768524 0.0001391933 0.0007953903 0.042133592 0.0005965427 0.0015443828 0.00046618708 0.00360356 0.00091248937 0.0031307444 0.0022580246 0.00050153775 0.0008771387 0.00061642745 0.00021873233 0.00021431349 0.00030931845 0.0004043234 0.0010362167 0.055321604 0.0010936616 0.001957544 0.0009876096 0.0043481337 0.0013830953 0.0054285387 0.004197893 0.0021519726 0.0022933753 0.0015267074 0.0005810768 0.0006252651 0.0005987521 0.00069154764 0.0027860755 0.026232414 0.0006871288 0.0014361213 0.0005324696 0.0012461115 0.0010273791 0.004542562 0.0031926082 0.0011798289 0.0006738723 0.00070480414 0.0005170037 0.0005965427 0.00050816603 0.00047502475 0.0016968326 0.056108154 0.0033472674 0.003994627 0.0031108598 0.004224406 0.0041139354 0.014091664 0.007995882 0.0014317025 0.0011091275 0.0011466877 0.0013322787 0.0019354497 0.0014272836 0.0014913568 0.006261489 0.02199696 0.00067829114 0.0018912613 0.0011444782 0.0013941424 0.001270415 0.003963695 0.002799332 0.0010561015 0.00093237415 0.0010295885 0.0012659961 0.0013875142 0.0013610012 0.0011047088 0.0019730097 0.022622226 0.00089260464 0.0013455352 0.00093458354 0.0014670532 0.0016261312 0.0019045178 0.002149763 0.002043711 0.0015090321 0.005907982 0.0020790617 0.0024104745 0.0020503395 0.001767534 0.003588094 0.0060781073 0.00035792563 0.0004683965 0.00038222922 0.0009301647 0.00033583146 0.00036455388 0.00054793555 0.0010030755 0.00061421806 0.0018559106 0.00087051047 0.0011400594 0.00092132704 0.0007953903 0.0014339118 0.05791325 0.010304723 0.015938736 0.010395309 0.05104417 0.011108951 0.0052672513 0.0103931 0.043404005 0.003583675 0.0032721472 0.0067784926 0.027173625 0.007198282 0.011798289 0.023068527 0.0050308434 0.000978772 0.0015289169 0.00097435305 0.0038576429 0.0010494733 0.00053467904 0.001005285 0.0037979886 0.00046176824 0.0004904907 0.00064294046 0.0019752192 0.0010163321 0.0013101845 0.0024944323 0.015516738 0.014365632 0.014308187 0.0142264385 0.013645362 0.013313949 0.014049686 0.014666113 0.014429705 0.013914911 0.013753624 0.014842866 0.013981193 0.01437226 0.014562271 0.016820295 1083.0 12.252077 13269.0 0.038962997 0.0023362725 0.0039942726 0.0009043636 0.014545181 0.0014319089 0.0013565454 0.0014319089 0.001205818 0.0018840907 0.0009797271 0.002411636 0.0019594543 0.024267089 0.013640817 0.0027884543 0.009797272 0.0076117264 0.003240636 0.006330545 0.0025623634 0.0021101816 0.0023362725 0.002411636 0.0033913634 0.0054261815 0.0017333635 0.0028638178 0.0045971815 0.002411636 0.0030899087 0.0030145452 0.008817544 0.023965634 0.0023362725 0.006330545 0.008591454 0.00934509 0.0037681814 0.0044464543 0.014394453 0.0049739997 0.0016579998 0.0019594543 0.0073856357 0.0031652725 0.0017333635 0.0039942726 0.004220363 0.0018840907 0.005953727 0.008892909 0.0076117264 0.004672545 0.009872636 0.015675634 0.0036928179 0.0028638178 0.004220363 0.0036174543 0.010475544 0.0039942726 0.006707363 0.014243726 0.0030145452 0.04220363 0.008139272 0.028185997 0.024191726 0.07144472 0.012359635 0.010324817 0.01017409 0.04001809 0.0011304545 0.005275454 0.03504409 0.01951918 0.03670209 0.045218177 0.021403272 0.0013565454 0.044389177 0.035270177 0.049363177 0.017635088 0.0055769086 0.009721908 0.009646544 0.00851609 0.004295727 0.0009797271 0.001205818 0.0021101816 0.0010550908 0.002034818 5.7446947 0.0 1.0 0.0 5.0 227328.0 245760.0 1.0 0.0 189.0 1.0 1.0 0.0 1.0 0.0 947436500.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 6.0 2.0 69632.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 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 58368.0 0.0 0.0 0.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.41652 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4093943 0.0 0.0 0.0 0.0 5.0740614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.303405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2400775 0.0 5.2021403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58014.0 0.0 0.0 0.0 0.0 6000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69379.0 0.0 87240.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 -1.0 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 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 780.0 124296.0 87288.0 151552.0 6000.0 139264.0 0.0 0.0 2768.0 241664.0 84.0 99328.0 0.0 0.0 0.0 0.0 40.0 77696.0 256.0 77424.0 0.0 0.0 1816.0 90008.0 96.0 124024.0 0.0 0.0


Input: 0.12597656 0.013756794 0.01059358 0.0069633154 0.0062415083 0.004840353 0.009149966 0.004182235 0.0052224863 0.005201257 0.007472826 0.004139776 0.0073454482 0.0029721467 0.0033755095 0.0030995244 0.0042246943 0.0046068276 0.0047554346 0.003630265 0.0035665762 0.0037788723 0.0031207541 0.0028872283 0.0030358357 0.0019743547 0.0027386209 0.0020805027 0.0031844429 0.0020592732 0.0031419836 0.0023777173 0.007961107 0.002632473 0.0044369907 0.0022078804 0.002632473 0.0028235393 0.0029509172 0.0018894362 0.00503142 0.0033330503 0.005413553 0.0037576426 0.003460428 0.002632473 0.005795686 0.0041610054 0.0037576426 0.0041185464 0.0031632134 0.0021017324 0.0029721467 0.0032481318 0.0026749321 0.002568784 0.00278108 0.0026537024 0.002568784 0.0021017324 0.002844769 0.0030995244 0.0022715693 0.0033755095 0.0036727241 0.0050101904 0.0027173914 0.0043733018 0.004564368 0.003630265 0.0027173914 0.0029296875 0.0032481318 0.0035878057 0.002632473 0.003078295 0.002844769 0.0038001018 0.0025475544 0.0033755095 0.003736413 0.0026112432 0.0035665762 0.006029212 0.004309613 0.0038637908 0.0030570652 0.0031419836 0.002844769 0.0032481318 0.0030358357 0.0025263247 0.0028659985 0.0027173914 0.0021866509 0.0049465015 0.001613451 0.0077700405 0.004521909 0.007196841 0.005731997 0.016983695 0.0025050952 0.0048191235 0.0026537024 0.010147758 0.0031207541 0.0036727241 0.0058169155 0.0058381455 0.007854959 0.010848336 0.0044157607 0.002844769 0.010232677 0.010720958 0.011421535 0.0066661006 0.00278108 0.0027173914 0.0030570652 0.0043733018 0.0025050952 0.0034391985 0.0022078804 0.0030570652 0.00278108 0.0032481318 0.003078295 0.0027598506 0.00278108 0.0022715693 0.001953125 0.0021017324 0.0023140286 0.0022927988 0.0031844429 0.0024414062 0.0026961616 0.0027598506 0.0018257473 0.0023564878 0.0020805027 0.002568784 0.0029296875 0.0029509172 0.0024201765 0.0023564878 0.0031207541 0.0027598506 0.002398947 0.0027598506 0.0025050952 0.0023564878 0.002844769 0.0024414062 0.0021441916 0.0023777173 0.002335258 0.003014606 0.0036090354 0.0021866509 0.0030570652 0.00222911 0.0027173914 0.0033330503 0.003226902 0.0033118206 0.0030358357 0.0035028872 0.0034391985 0.0029296875 0.0038850203 0.0022715693 0.0026112432 0.0027386209 0.0021866509 0.0021866509 0.003396739 0.0027386209 0.002462636 0.0026112432 0.0023140286 0.00222911 0.0019955842 0.0026749321 0.0024201765 0.002844769 0.002016814 0.002568784 0.0028235393 0.0026537024 0.0018469769 0.0016983695 0.0025475544 0.0023140286 0.003014606 0.0028872283 0.0022927988 0.002568784 0.0026537024 0.0021866509 0.003842561 0.0023140286 0.003524117 0.0017195992 0.0022927988 0.00222911 0.0021441916 0.0033330503 0.0032693613 0.0031419836 0.0021866509 0.0032056726 0.0034816577 0.00278108 0.0018045177 0.0029721467 0.0031207541 0.0017620585 0.0017408289 0.0021654211 0.0028023098 0.0022715693 0.002122962 0.0021654211 0.0026749321 0.002398947 0.0020380435 0.0031844429 0.0024414062 0.0025475544 0.0024838655 0.0028872283 0.0029933765 0.0025900137 0.002122962 0.00222911 0.0017832881 0.0027598506 0.0018682065 0.0026112432 0.0023140286 0.002335258 0.0028872283 0.0025475544 0.0029296875 0.0021866509 0.0021654211 0.0025475544 0.0027173914 0.00278108 0.002632473 0.0028872283 0.0024838655 0.005073879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02999132 0.0014431423 0.002907986 0.0013563368 0.0031032986 0.0017903646 0.015700955 0.0094401045 0.00018446181 5.4253473e-05 0.000108506945 0.00014105903 0.00013020834 9.765625e-05 0.000108506945 0.000108506945 0.0460829 0.0048936633 0.005360243 0.0016276041 0.003157552 0.0025282118 0.012434896 0.0079969615 0.00083550345 0.00048828125 0.0004123264 0.0006293403 0.00045572917 0.00064019096 0.00035807292 0.0009874132 0.017751737 0.0011501736 0.0017795139 0.0004123264 0.0022135417 0.0013671875 0.009027778 0.00593533 0.00081380206 0.0004123264 0.0004123264 0.00043402778 0.0012152778 0.00064019096 0.0005533854 0.00032552084 0.01936849 0.001996528 0.0016818576 0.0009657118 0.0016384549 0.0016384549 0.008203125 0.0052083335 0.0007921007 0.00045572917 0.00033637154 0.0005750868 0.00033637154 0.00035807292 0.000390625 0.000499132 0.025726996 0.0031901042 0.0036458333 0.0026150174 0.0030815972 0.0024848091 0.012630208 0.0075846356 0.0011284723 0.00044487847 0.00044487847 0.0005859375 0.0012261284 0.0007269965 0.0006727431 0.00047743056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015614149 0.0023871528 0.0033528646 0.002799479 0.002842882 0.0025173612 0.003949653 0.0025065104 0.00091145834 0.0009331597 0.001030816 0.00088975695 0.0011284723 0.0010091146 0.0011827257 0.0013888889 0.0067274305 0.0010525173 0.0009548611 0.0012912326 0.0010199653 0.0008789062 0.0017795139 0.0012152778 0.00064019096 0.0008029514 0.00091145834 0.0008029514 0.0007703993 0.0007921007 0.0009548611 0.0016276041 0.04926215 0.03577474 0.04109158 0.03563368 0.03859592 0.04261068 0.037456598 0.036762152 0.034939237 0.03902995 0.045410156 0.03688151 0.035449218 0.038823783 0.036024306 0.038476564 469.0 13.765458 6456.0 0.019516729 0.0017038414 0.0068153655 0.00232342 0.0021685255 0.0017038414 0.001858736 0.0029429987 0.0055762082 0.0017038414 0.0021685255 0.0012391574 0.0035625775 0.004801735 0.021685254 0.004182156 0.0089838905 0.008828997 0.0038723669 0.0034076828 0.0034076828 0.0035625775 0.0055762082 0.0032527882 0.0024783148 0.004337051 0.004337051 0.0024783148 0.0030978934 0.0051115244 0.0034076828 0.0027881041 0.0013940521 0.0133209415 0.0072800494 0.013166047 0.010377943 0.0072800494 0.0063506817 0.0069702603 0.004801735 0.008674102 0.0012391574 0.0017038414 0.0040272614 0.009448575 0.0032527882 0.003717472 0.007125155 0.0020136307 0.007899628 0.016418835 0.007899628 0.0044919453 0.00464684 0.0026332093 0.0024783148 0.0020136307 0.00077447336 0.0013940521 0.0024783148 0.000929368 0.000464684 0.01425031 0.0013940521 0.03454151 0.016883519 0.029894672 0.021685254 0.091078065 0.0069702603 0.015489467 0.0077447337 0.044299874 0.0027881041 0.006195787 0.02524783 0.02524783 0.03717472 0.04677819 0.016109046 0.0024783148 0.046003718 0.050805453 0.06428129 0.028035935 0.007434944 0.0068153655 0.0066604707 0.015024783 0.0021685255 0.0013940521 0.0006195787 0.0021685255 0.00077447336 0.0020136307 5.63782 1.0 2.0 0.0 1.0 47104.0 73728.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2711470300.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 44544.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44544.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -7.553258 0.0 4.230421 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 -44300.0 0.0 1452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 52404.0 1452.0 57344.0 0.0 0.0 0.0 0.0 12.0 65536.0 56.0 52252.0 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: 0.023428721 0.003942012 0.0036092894 0.0038326394 0.0036979388 0.0035897177 0.0039247423 0.0037140567 0.003906322 0.0035828098 0.003411268 0.003479194 0.003722116 0.00369909 0.0035643892 0.00407441 0.0034446553 0.0035171865 0.0037336287 0.0036634002 0.0036173486 0.003906322 0.0034814966 0.0035425148 0.0034884042 0.0035459686 0.0036507358 0.0037106029 0.0036772154 0.003818824 0.003767016 0.0037877392 0.0038729345 0.003551725 0.0036035331 0.0037451417 0.004576372 0.0036530385 0.0035678432 0.0036599461 0.003491858 0.003674913 0.00339515 0.0039155325 0.003551725 0.0035413634 0.003611592 0.0036518872 0.0037681672 0.0037727724 0.0038648755 0.0039293477 0.0036507358 0.003843001 0.0036852746 0.0037497468 0.0039316504 0.0043806527 0.0038050085 0.0039339527 0.0037739237 0.0037981009 0.003818824 0.0039017168 0.004165362 0.003726721 0.0039178347 0.0037934957 0.003655341 0.004126218 0.0039477684 0.003969643 0.004257465 0.004304668 0.0036979388 0.003810765 0.0036242562 0.0038142188 0.003857968 0.0039040195 0.0037808316 0.003754352 0.0037175107 0.004050233 0.0035609354 0.0038740858 0.003909776 0.0041469415 0.0034814966 0.0037773775 0.0036841233 0.0038268832 0.0038084625 0.0037255697 0.0038453036 0.0038119163 0.0033065006 0.0036657027 0.0036081383 0.0041077975 0.004019148 0.0043000625 0.0035252455 0.004106646 0.003726721 0.004118159 0.0039972737 0.003655341 0.0040156944 0.0039178347 0.0040122406 0.004182631 0.0040824693 0.004189539 0.0044946303 0.004587885 0.004477361 0.004631634 0.003722116 0.0043150294 0.0038683293 0.0042194724 0.0038855989 0.004069805 0.0037969495 0.0040145433 0.003914381 0.0039972737 0.0036380717 0.0036300127 0.0034388988 0.003982307 0.0035125813 0.0038119163 0.0037578058 0.0035943228 0.0035816587 0.0040767128 0.0037578058 0.0044036787 0.0036864257 0.0038948092 0.0039972737 0.0038395473 0.0040202993 0.00392244 0.004591339 0.003857968 0.0038199753 0.003687577 0.0038119163 0.003611592 0.0035333044 0.0037727724 0.003559784 0.0037336287 0.0041768746 0.0038153701 0.0037520493 0.0038879013 0.00332377 0.0035183376 0.0033594598 0.0037601083 0.0039086244 0.0034481091 0.003571297 0.0036806695 0.0034412013 0.0037059977 0.0034550168 0.0035943228 0.0035862639 0.0036518872 0.0038844475 0.0038418497 0.0034550168 0.0035931715 0.0038752372 0.0037647134 0.0036610975 0.0035333044 0.0038050085 0.0038015547 0.003818824 0.0037647134 0.0035701457 0.003750898 0.0038268832 0.003857968 0.0039466172 0.004017997 0.00377047 0.0036288614 0.0035574816 0.0036898798 0.0037290235 0.003647282 0.0038257318 0.003923591 0.003857968 0.0041929926 0.0036691565 0.0036933336 0.0038257318 0.0035782047 0.004357627 0.0039558276 0.0034481091 0.003639223 0.0037462928 0.0038061598 0.0035079762 0.0035263968 0.0036484334 0.003890204 0.0035171865 0.0037336287 0.0035367582 0.0039892145 0.0039454657 0.0036046843 0.0038326394 0.0039846096 0.0038245805 0.003411268 0.003846455 0.0038061598 0.004334601 0.003647282 0.0037969495 0.0041043437 0.0043806527 0.00391323 0.0036610975 0.004194144 0.003763562 0.0038683293 0.0040767128 0.0041630594 0.0037278722 0.0037313262 0.003859119 0.004032964 0.003707149 0.0037175107 0.0038671782 0.004229834 0.003870632 0.0041388823 0.0037175107 0.004049082 0.0041250666 0.00399382 0.0041791773 0.008001455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001662001 1.095318e-05 5.7648317e-06 8.647247e-06 3.113009e-05 3.458899e-05 4.4965687e-05 3.804789e-05 5.649535e-05 5.073052e-05 1.9023944e-05 7.724875e-05 4.8424587e-05 3.1706575e-05 6.51426e-05 0.00017640385 0.0014342902 2.4212293e-05 5.8801284e-05 2.8247676e-05 9.511972e-05 5.418942e-05 0.0002738295 0.00022482844 6.110722e-05 1.7870978e-05 8.647247e-06 1.0376697e-05 1.3835596e-05 1.0376697e-05 1.3835596e-05 3.1706575e-05 0.0010319048 9.800214e-06 7.436633e-05 0.000257688 0.0008601129 0.00035857255 0.0012198384 0.00085550104 4.6118653e-06 4.035382e-06 5.1883485e-06 6.917798e-06 9.223731e-06 6.917798e-06 8.070764e-06 9.800214e-06 0.0026316456 8.704896e-05 9.1660826e-05 0.00013432058 0.00023693459 0.00014988563 0.0007915114 0.00066699105 0.00019831021 7.20604e-05 7.6672266e-05 0.00014239135 0.000104919935 8.013116e-05 9.7425655e-05 0.00034127804 0.003805942 0.00013547354 9.396676e-05 0.00015622695 0.00034934882 0.0002738295 0.00033436023 0.00045484523 0.0005776361 0.00025884094 0.00017294496 0.00022194603 0.00026979414 0.00019139242 0.00021733416 0.0007505811 0.0034519813 0.00015737991 0.0002086869 0.00043985667 0.000307842 0.00034934882 0.00047848103 0.00070676836 0.00043755074 0.00038451428 0.00028997104 0.0003124539 0.00029170047 0.00034819584 0.00021502822 0.0010653409 0.004809023 0.00050499925 0.00034185452 0.00069812115 0.0016377887 0.0012319445 0.0010711057 0.0014590789 0.0016533538 0.00067563826 0.0005851304 0.00047790454 0.0008491597 0.0004969285 0.0008497362 0.0027290713 0.0050061797 0.0013403234 0.0010889767 0.0014654202 0.0019191125 0.0017161904 0.0014221839 0.0022131188 0.0019237243 0.00058109505 0.0005995425 0.0007413574 0.0010751411 0.0008214885 0.0015588105 0.0025013606 0.05422228 0.056160413 0.057166953 0.05849575 0.057190012 0.056661956 0.056669448 0.059707515 0.055775322 0.059595678 0.056057222 0.058132563 0.058326263 0.0574477 0.059850484 0.059437722 4075.0 7.2684665 29619.0 0.012829603 0.008204193 0.008237955 0.0070562814 0.009959823 0.009487154 0.007562713 0.007900334 0.0076977615 0.0073601403 0.0070900437 0.007731524 0.007495189 0.009014484 0.009554678 0.009689726 0.012424457 0.011580405 0.011782977 0.009082008 0.010972686 0.010364968 0.008845673 0.008609339 0.009520915 0.009082008 0.008710625 0.0074276645 0.0076977615 0.0077652857 0.007900334 0.009048246 0.007731524 0.011411594 0.00847429 0.0134373205 0.013707418 0.010263682 0.009689726 0.010905162 0.010027347 0.0115466425 0.008001621 0.0116479285 0.008879435 0.009993585 0.010196158 0.012086836 0.009520915 0.008575576 0.010263682 0.011782977 0.009554678 0.009385867 0.009284581 0.00894696 0.0071238056 0.008676863 0.008710625 0.0082717175 0.0077652857 0.006887471 0.00830548 0.00783281 0.007225092 0.015935717 0.008845673 0.014990378 0.012255646 0.025760492 0.008406766 0.011411594 0.010061109 0.018197779 0.008575576 0.008575576 0.015091664 0.012255646 0.017184915 0.01823154 0.012289409 0.009824774 0.018670447 0.017488774 0.020561127 0.011175259 0.012728317 0.018805496 0.010398731 0.011310307 0.00894696 0.00847429 0.007022519 0.0070562814 0.007495189 0.0081704315 6.5185423 0.0 14.0 0.0 11.0 868592.0 270336.0 0.0 0.0 155.0 0.0 1.0 1.0 0.0 0.0 1260053500.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 38912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 6.5092015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 38560.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 38560.0 229376.0 0.0 0.0 9776.0 858816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.1928199 0.011915949 0.0072166533 0.005634624 0.009452033 0.0048177512 0.0031273642 0.003448252 0.012009531 0.002217402 0.002533857 0.0022144467 0.008646981 0.0026931928 0.0016115813 0.012350367 0.00725581 0.0024855884 0.0010663428 0.0011338204 0.0047652964 0.0018578499 0.0010954024 0.00090774585 0.004145192 0.00086440257 0.00077673094 0.00090922345 0.0031842522 0.0010394995 0.0007099922 0.0009321264 0.005322602 0.0011015591 0.0007333877 0.0013820591 0.011235263 0.0013192606 0.0006329102 0.00058168627 0.0021730736 0.00060286536 0.00062675343 0.0014889396 0.0015192307 0.0006464549 0.00063340267 0.00044352963 0.0029980731 0.0015404098 0.0016238948 0.008042391 0.0023188645 0.0026303942 0.0017024544 0.0013734397 0.0028377525 0.004304035 0.0015940963 0.007875668 0.0024021033 0.0022696108 0.001277395 0.0014276187 0.0055880793 0.0027087077 0.0011742084 0.0025858197 0.00602496 0.01674774 0.0038467145 0.002327484 0.003019991 0.0014108724 0.00059744745 0.0010303876 0.0024516033 0.0051332214 0.0017529394 0.0012623725 0.008673578 0.002597148 0.0023297004 0.0070681535 0.0035457744 0.004384565 0.008298265 0.004469035 0.0020959915 0.0015837529 0.0006902907 0.0019071036 0.0018223872 0.0038885802 0.002499133 0.002495439 0.0013204919 0.0024762303 0.00081145484 0.0015253873 0.0034162372 0.0050320053 0.006016833 0.0009042981 0.0040833787 0.002176275 0.00695684 0.001010686 0.0020516631 0.0010508279 0.0019243424 0.0022447377 0.0021009168 0.00056099973 0.0038405578 0.0032906402 0.01444365 0.015638791 0.00280623 0.0017485067 0.0016069022 0.0009385294 0.00042087294 0.00066714146 0.0024269763 0.0044941544 0.0010234921 0.0008634175 0.0038415429 0.0025594688 0.0006033579 0.01272642 0.0042683263 0.009260682 0.0017876633 0.0010587084 0.002583357 0.018658044 0.0019886184 0.040797584 0.0014852455 0.011512316 0.00079495483 0.0006819176 0.022285333 0.0004703729 0.00029084313 0.00031473118 0.0007390519 0.00058759673 0.00044697738 0.0003772834 0.00097103685 0.0004984475 0.0007341265 0.00032704463 0.00077771605 0.0005836564 0.00039550726 0.00037063414 0.0010537831 0.0023333945 0.00032729088 0.000763925 0.000903313 0.0010875219 0.00048416396 0.00056099973 0.0021351483 0.0005324326 0.0005193803 0.0013411784 0.00090355927 0.00025882822 0.00024479092 0.00031276105 0.0012613875 0.001189477 0.0003194103 0.00040634308 0.0008515966 0.00077451457 0.0011333278 0.002577939 0.002683342 0.0011680517 0.0012173054 0.0006341415 0.0008752384 0.00053021614 0.0011372681 0.00089395477 0.0112963375 0.005738303 0.0037036326 0.003303446 0.0020144766 0.00044820874 0.0034019535 0.004898774 0.002735551 0.0033120655 0.0008777011 0.0009845817 0.018430984 0.00046766395 0.0011185517 0.0010988503 0.0025710436 0.0012293726 0.0014877083 0.0008609548 0.0014059471 0.00043811172 0.0007085146 0.0008035742 0.0025693197 0.00076909666 0.00063340267 0.0016859544 0.0018206633 0.0004885968 0.0007422534 0.000790522 0.003347282 0.0012670517 0.0009114399 0.0007395444 0.0025518346 0.0009838428 0.0009466563 0.001026201 0.01771853 0.0034938117 0.0007695892 0.0063889446 0.005000729 0.00045658188 0.00062379823 0.00066172355 0.006007721 0.0009239996 0.00078756677 0.00144535 0.0024392898 0.0005023878 0.0038100206 0.0022331632 0.005721557 0.0014219546 0.0010678204 0.0014689919 0.0047689904 0.0015559247 0.0045057293 0.04703606 0.082429856 5.4198727e-06 1.835366e-05 1.3549682e-06 1.9708627e-06 9.854314e-07 1.7737764e-05 2.5867573e-06 1.9708627e-06 6.1589463e-07 8.622525e-07 2.5867573e-06 6.1589463e-07 1.478147e-06 3.6953676e-07 5.6662307e-06 0.0019332932 8.992061e-06 5.4198727e-06 1.8476838e-06 4.927157e-06 2.0940417e-06 8.745704e-06 3.8185467e-06 3.44901e-06 0.0009253201 1.3549682e-06 1.8476838e-06 9.0782865e-05 7.0211986e-06 6.651662e-06 2.167949e-05 0.0011634249 1.0347029e-05 1.0839745e-05 3.8185467e-06 3.8185467e-06 7.637093e-06 2.3896711e-05 2.8331153e-06 6.1589462e-06 0.0006745278 1.478147e-06 2.3403995e-06 6.737887e-05 1.2687429e-05 1.0593388e-05 1.6382797e-05 0.00021925848 1.2317893e-06 9.854314e-07 7.390735e-07 4.1880835e-06 1.3549682e-06 1.8476838e-06 2.3403995e-06 1.2317893e-06 4.927157e-07 7.390735e-07 2.7099363e-06 6.1589463e-07 3.6953676e-07 1.601326e-06 1.256425e-05 0.0012822925 3.1287447e-05 1.946227e-05 9.854314e-06 2.4635785e-05 2.2172206e-05 2.8454331e-05 1.5274187e-05 9.607956e-06 0.00021075914 8.376167e-06 1.0223851e-05 2.8207973e-05 8.992061e-06 1.1578819e-05 4.471395e-05 0.0010220155 7.883451e-06 2.2295386e-05 9.9774925e-06 0.00022110617 0.00014067032 5.1365612e-05 2.6853006e-05 1.4535113e-05 0.00039971562 5.1735146e-06 6.528483e-06 5.0749717e-05 9.9774925e-06 1.3180144e-05 1.6136439e-05 0.0015451564 7.5631855e-05 4.434441e-05 3.1533804e-05 7.2429204e-05 6.910338e-05 0.00025879891 0.0001256425 3.670732e-05 0.00037976063 7.637093e-06 1.1701998e-05 7.205967e-05 1.0716566e-05 1.2194713e-05 2.1556312e-05 0.0041232915 6.8857014e-05 0.00015224915 0.00011788223 0.0019984548 0.0013722132 0.006577508 0.0034187078 4.8162958e-05 0.00036695 1.7984123e-05 1.3426503e-05 5.8140453e-05 1.7614586e-05 3.1287447e-05 3.301195e-05 0.0034830072 0.000110614674 0.00078501925 0.00011369414 0.0008071915 0.0006421317 0.0028642796 0.0016241141 8.573253e-05 0.0005300389 3.6830497e-05 3.756957e-05 0.00013648225 6.971927e-05 6.910338e-05 0.00020891146 0.008328251 0.00019745581 0.000700149 0.0003628851 0.0011206819 0.0009515572 0.0029992836 0.0015133762 0.00032346786 0.0011536938 0.00012416435 0.0001524955 0.0013278688 0.0002506691 0.00018747832 0.0017495103 0.0053864913 0.00019142004 0.0010914884 0.00033701753 0.001057491 0.00094084063 0.0030038413 0.0016566333 0.00022664922 0.00059199793 0.000120592165 0.00012773654 0.0016002174 0.00016998692 0.00020965052 0.0014514172 0.0052573998 0.0010985096 0.0012862344 0.013118062 0.0013044648 0.0013334118 0.0014269047 0.0011424845 0.0011273335 0.0014373749 0.0008903373 0.00091066177 0.001263323 0.0008834392 0.00095820887 0.001122899 0.0038065983 0.00046980442 0.0005955701 0.0009451519 0.0005337343 0.0005984032 0.00062784296 0.00051180844 0.0010282977 0.0006955914 0.00026976183 0.00037347848 0.0007218285 0.00033147447 0.00046204415 0.0011466726 0.03044404 0.0046266005 0.0038345598 0.0045550335 0.00787877 0.006662009 0.0038065983 0.0070656664 0.020191366 0.0031925514 0.0017801818 0.0027807641 0.009907527 0.0025730846 0.0072112638 0.015679691 0.13107543 0.025909947 0.021535125 0.02619326 0.04216205 0.0449337 0.020882646 0.039269317 0.09075318 0.019357445 0.010266963 0.013018288 0.047973264 0.014407869 0.03727567 0.06357314 0.00115936 0.00031780163 0.00034674868 0.00041572886 0.00047362296 0.0006681225 0.00042053283 0.00049099117 0.00076112256 0.00025411812 0.00022430882 0.00020115118 0.00054038595 0.00024943732 0.0004376547 0.00060702575 15118.0 12.648499 191220.0 0.04167451 0.0015061186 0.0016368581 0.0012498692 0.014485933 0.004821671 0.0010093086 0.0011871143 0.004157515 0.0018512708 0.004314402 0.0012603285 0.0039012656 0.0016734651 0.00384374 0.0013230834 0.011191298 0.008754315 0.009015793 0.0095596695 0.009878674 0.008147683 0.008022173 0.0075515113 0.010014643 0.012069867 0.009690409 0.010961196 0.009496914 0.008341177 0.00781822 0.0070860786 0.0040110867 0.009826378 0.0039012656 0.010908901 0.013874072 0.0121064745 0.007368476 0.004178433 0.007849597 0.013309278 0.0015427256 0.0041261376 0.008707249 0.007959419 0.006050622 0.0065683504 0.022706829 0.0065474324 0.013440017 0.022408744 0.011452777 0.0041888924 0.011980964 0.0104853045 0.0037757556 0.0025468047 0.0034149147 0.0020499947 0.0030540738 0.0020290765 0.0025258865 0.007765924 0.0022434893 0.02990273 0.0070547014 0.020065892 0.01760799 0.062843844 0.011259283 0.008231357 0.024108358 0.030760381 0.012069867 0.005475369 0.023527874 0.01253007 0.027580798 0.031790607 0.014198306 0.0019087961 0.034855142 0.025101976 0.052431755 0.01738312 0.0064533 0.006782763 0.0067566154 0.008152913 0.0018617299 0.0009099467 0.0026409372 0.0010459156 0.0012028031 0.0011034411 5.991281 0.0 10.0 0.0 38.0 4060608.0 4280320.0 1.0 2192.0 149.0 1.0 1.0 1.0 0.0 0.0 1421027500.0 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 0.0 -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 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 3441664.0 2048.0 4096.0 22.0 1.0 0.0 11.0 8.0 0.0 0.0 0.0 -92160.0 1764352.0 -104960.0 1024.0 0.0 0.0 -72704.0 0.0 0.0 0.0 -33792.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35840.0 0.0 0.0 0.0 0.0 -19968.0 73728.0 -11264.0 281600.0 -1119744.0 0.0 214528.0 0.0 0.0 0.0 0.0 13312.0 0.0 0.0 0.0 0.0 -0.22323595 6.6572204 -6.769553 0.23400526 0.0 0.0 -6.802993 0.0 0.0 0.0 -2.3219695 0.0 0.0 0.0 0.0 0.0 0.0 -6.216319 0.0 0.0 6.4262624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3336961 0.0 0.0 0.0 0.0 -6.6741533 10.571318 -0.2411068 5.3950224 -6.653053 0.0 1.0821338 0.0 0.0 0.0 0.0 5.71245 0.0 0.0 0.0 0.0 -92040.0 1764258.0 -104644.0 7172.0 0.0 0.0 -72201.0 0.0 0.0 0.0 -33916.0 0.0 0.0 0.0 0.0 0.0 0.0 -7578.0 0.0 0.0 2978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9800.0 -289420.0 0.0 0.0 0.0 0.0 -19637.0 73373.0 -11360.0 281272.0 -1119752.0 0.0 214288.0 0.0 0.0 0.0 0.0 12894.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 -3.0 0.0 4.0 4.0 2.0 -4.0 1.0 8.0 2.0 0.0 -3.0 -3.0 2.0 -5.0 -7.0 -1.0 4.0 0.0 5.0 -7.0 0.0 -3.0 -5.0 7.0 2.0 -1.0 1.0 -1.0 1.0 2.0 -2.0 4.0 3.0 0.0 0.0 -2.0 1.0 -5.0 4.0 -2.0 -1.0 -7.0 2.0 -1.0 1.0 -3.0 -4.0 -5.0 -2.0 -2.0 -7.0 -2.0 4.0 -7.0 0.0 -5.0 -1.0 0.0 -7.0 5.0 -5.0 -1.0 3.0 -7.0 0.0 -2.0 -1.0 2.0 9.0 0.0 -1.0 4.0 -1.0 8.0 1.0 4.0 5.0 4.0 5.0 -5.0 0.0 -1.0 -7.0 -5.0 -1.0 -5.0 -5.0 -6.0 0.0 0.0 0.0 0.0 0.0 1.0 -6.0 -5.0 -4.0 -4.0 -1.0 9.0 4.0 -7.0 -2.0 0.0 -3.0 7.0 -1.0 4.0 0.0 1.0 1.0 3.0 -5.0 -6.0 1.0 5.0 -1.0 -2.0 -2.0 2.0 0.0 0.0 -4.0 0.0 0.0 -9.0 70533.0 3493888.0 140.0 3950984.0 214288.0 3956736.0 0.0 0.0 7104.0 3970560.0 104644.0 4173824.0 56.0 1172928.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 856096.0 0.0 0.0 620.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.026937706 0.003957648 0.0039216694 0.004086143 0.0045333058 0.0040193256 0.0037366366 0.0037109375 0.003983347 0.0035927221 0.004060444 0.0039782072 0.004039885 0.0036646794 0.003746916 0.0037931744 0.0036903783 0.0037880344 0.003983347 0.0036132813 0.0037983141 0.0036287007 0.0039525083 0.0039011103 0.003777755 0.004142681 0.0036287007 0.00391139 0.00390625 0.003669819 0.0038599917 0.003931949 0.0041169818 0.0037880344 0.003962788 0.003669819 0.0040810034 0.0037828947 0.0035002057 0.0036852385 0.0038085938 0.004029605 0.0036132813 0.0036595394 0.0036595394 0.003459087 0.0038651316 0.00391139 0.00390625 0.00390625 0.0039216694 0.004086143 0.0037674753 0.0038034539 0.003700658 0.0034745065 0.0035002057 0.0037983141 0.003726357 0.0035927221 0.0039936267 0.003618421 0.0037571958 0.0040193256 0.003875411 0.0038908306 0.003746916 0.003777755 0.0038342928 0.003937089 0.0036903783 0.0039011103 0.0036132813 0.0037931744 0.0036800986 0.0036595394 0.0037880344 0.003572163 0.0035978619 0.0037623355 0.0041015623 0.003875411 0.003937089 0.00391139 0.0037828947 0.0035207649 0.0037674753 0.0037160772 0.0039987667 0.003777755 0.0035927221 0.0037314966 0.003875411 0.0036081416 0.0037109375 0.0039936267 0.0035927221 0.003937089 0.003618421 0.0036595394 0.0038034539 0.0038702714 0.0038445725 0.0037571958 0.004070724 0.003854852 0.0035516035 0.0037983141 0.004003906 0.00390625 0.00391139 0.0039730673 0.0038085938 0.003695518 0.0038188733 0.0040501645 0.004137541 0.003854852 0.0037623355 0.0039525083 0.0035104852 0.0038137336 0.0037983141 0.0037314966 0.0039422284 0.003669819 0.0038908306 0.0037674753 0.003957648 0.003957648 0.0036800986 0.0039936267 0.0038908306 0.004291735 0.0037571958 0.0038137336 0.0037109375 0.004003906 0.0036441202 0.00442537 0.0040141856 0.0041169818 0.0037674753 0.003937089 0.0039165295 0.003854852 0.0036852385 0.0036081416 0.0035978619 0.003957648 0.0038085938 0.0037057977 0.0039422284 0.003937089 0.0036852385 0.0034693668 0.0034025493 0.0036800986 0.0037674753 0.0039782072 0.003700658 0.003669819 0.0036800986 0.0036800986 0.0035104852 0.0036389802 0.00364926 0.003880551 0.0038085938 0.0035053454 0.0036543997 0.0036235608 0.0035618832 0.0035002057 0.0036595394 0.0038702714 0.003875411 0.0034693668 0.0037726152 0.003777755 0.0035567435 0.0036595394 0.0037623355 0.0038188733 0.0036595394 0.0037983141 0.0036287007 0.0038394325 0.0036852385 0.00364926 0.004096423 0.004009046 0.0040141856 0.0039884867 0.0036903783 0.0041478206 0.0037212172 0.0038497122 0.003541324 0.0036543997 0.003824013 0.0037160772 0.0036646794 0.003875411 0.003931949 0.0037314966 0.003931949 0.0039782072 0.004009046 0.0038856908 0.00391139 0.0038959703 0.0036543997 0.0038188733 0.0036030016 0.003464227 0.003746916 0.0037931744 0.0038599917 0.0039730673 0.0034231085 0.003854852 0.00364926 0.0039473684 0.0041581 0.0036646794 0.0039525083 0.0037057977 0.0036441202 0.003829153 0.003746916 0.0037109375 0.003967928 0.0037417763 0.0036338405 0.003695518 0.0038651316 0.0036132813 0.003700658 0.003824013 0.003746916 0.0040193256 0.003695518 0.0037931744 0.003937089 0.0036441202 0.003618421 0.0057411594 0.004399671 0.003983347 0.0038856908 0.004003906 0.004091283 0.003515625 0.0038702714 0.004744038 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035393932 0.00016792741 0.00013950893 0.000103339946 0.000103339946 9.8172946e-05 0.00021443039 0.00012917494 9.042245e-05 0.00012142444 9.042245e-05 9.3005954e-05 0.00011884094 0.000113673945 7.233796e-05 9.558945e-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 0.0031570354 0.000108506945 0.00013434193 0.000108506945 0.00012142444 0.0001937624 0.00017826141 0.00013692543 0.00027643435 0.00012142444 8.525546e-05 0.00012917494 0.00010592345 0.000113673945 0.00012142444 0.0001989294 0.0026403356 0.00011884094 0.0001911789 9.3005954e-05 0.00016534391 0.00024284888 0.0004314443 0.00025576638 0.0004236938 9.558945e-05 3.875248e-05 8.008846e-05 0.00011109044 5.4253473e-05 0.00013175844 0.00021701389 0.008003679 0.000958478 0.00091455854 0.0008499711 0.000922309 0.001118655 0.00088355655 0.00092747604 0.0023458167 0.00027643435 0.00026868386 0.00031518683 0.0008086351 0.00033585483 0.00060195517 0.0016327712 0.0021158855 9.558945e-05 0.000103339946 0.00012659143 0.00018601191 0.0002015129 0.00035652283 0.00023509839 0.00028418485 0.00017567791 0.00016792741 0.0002118469 0.0001937624 0.00022218088 0.00024284888 0.00037202382 0.005092076 0.0012297453 0.00082671957 0.000875806 0.00082671957 0.0010385665 0.0010075645 0.0011212385 0.0010747354 0.00089389057 0.00081380206 0.0008112186 0.0010514839 0.0011212385 0.00085513806 0.0025240781 0.057903957 0.05864542 0.05854208 0.05854208 0.058074467 0.058219142 0.058296647 0.058583416 0.05863767 0.05859375 0.05734592 0.058702257 0.059156954 0.058795262 0.058722924 0.05974599 943.0 6.1887593 5836.0 0.015764222 0.008567512 0.011480466 0.010795065 0.012679918 0.009424264 0.010109664 0.009938314 0.008053461 0.013879369 0.00719671 0.011651817 0.007882111 0.008910213 0.011480466 0.010452365 0.010795065 0.01456477 0.011309116 0.012337217 0.009938314 0.013365319 0.009766963 0.009766963 0.008396162 0.010281014 0.009252913 0.009081563 0.013536669 0.0075394106 0.009081563 0.0119945165 0.008738862 0.009424264 0.010452365 0.008567512 0.009938314 0.010795065 0.0066826595 0.010795065 0.008053461 0.011309116 0.009252913 0.009081563 0.008567512 0.007710761 0.010623715 0.011823166 0.015421522 0.008910213 0.010281014 0.010795065 0.009595613 0.008567512 0.009595613 0.008396162 0.009766963 0.009252913 0.013365319 0.007882111 0.011823166 0.009595613 0.008053461 0.008053461 0.008224811 0.013022618 0.0119945165 0.0119945165 0.013536669 0.015250172 0.009938314 0.009595613 0.0109664155 0.010623715 0.008910213 0.007710761 0.0119945165 0.0119945165 0.011309116 0.01370802 0.009938314 0.008567512 0.011823166 0.018334476 0.01370802 0.010795065 0.009424264 0.009766963 0.009252913 0.009081563 0.01439342 0.009252913 0.008224811 0.00719671 0.007882111 0.011137766 6.555046 0.0 0.0 0.0 5.0 194560.0 1232896.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1143100300.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1179648.0 1536.0 4096.0 5.0 1.0 0.0 0.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -183296.0 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 6.3824396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5812237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.998686 0.0 2.1290495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1179648.0 -4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1220524.0 4572.0 1208320.0 0.0 0.0 0.0 0.0 8.0 1220436.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.025876084 0.004651373 0.0041433345 0.0042788116 0.0041433345 0.00433526 0.0039739884 0.0041884934 0.0041884934 0.003951409 0.0040191473 0.0039739884 0.00347724 0.0036804553 0.0035901372 0.0041997833 0.003770773 0.003770773 0.003386922 0.003646586 0.0038949603 0.003601427 0.003341763 0.0035788475 0.0034207911 0.0035449783 0.003996568 0.0038046422 0.004075596 0.0034885297 0.0034207911 0.0033191836 0.0040981756 0.004064306 0.0034207911 0.0040530167 0.006604498 0.003996568 0.0038949603 0.004030437 0.003962699 0.0044481577 0.0035901372 0.0037143244 0.003962699 0.0037030347 0.0041546244 0.003386922 0.0041433345 0.003736904 0.003827222 0.004075596 0.004075596 0.0038498014 0.0044142883 0.0036240064 0.0035111092 0.0043239705 0.00391754 0.0036240064 0.003556268 0.0036240064 0.003827222 0.0036578758 0.0039739884 0.0036804553 0.0037143244 0.00391754 0.00476427 0.003646586 0.00391754 0.0036352961 0.004470737 0.003815932 0.003251445 0.0038385116 0.004165914 0.003691745 0.0037594833 0.003770773 0.00390625 0.0034546603 0.004165914 0.003736904 0.00390625 0.0036352961 0.0037933525 0.0037820628 0.0039288295 0.00391754 0.0039852783 0.0035449783 0.0036127167 0.0036804553 0.0035336886 0.0037594833 0.003996568 0.0036240064 0.004301391 0.004120755 0.0040191473 0.0037594833 0.0040981756 0.0038949603 0.0035449783 0.0038723808 0.0039739884 0.0034659503 0.0039401194 0.003736904 0.00390625 0.0032627347 0.0034998194 0.004165914 0.004244942 0.0041546244 0.004165914 0.0036691655 0.0035901372 0.0039288295 0.003861091 0.003770773 0.003341763 0.0034207911 0.0038723808 0.004075596 0.0037820628 0.0037143244 0.0038836705 0.0038836705 0.003601427 0.00347724 0.003951409 0.0036240064 0.0033756322 0.003206286 0.004064306 0.0047416906 0.003951409 0.0048771678 0.0035901372 0.004290101 0.0035901372 0.003601427 0.0033756322 0.0041546244 0.0038498014 0.0034207911 0.0035788475 0.0035336886 0.0038498014 0.0034433706 0.0035675578 0.00391754 0.0036691655 0.003601427 0.003827222 0.0037256142 0.0037933525 0.0036578758 0.003736904 0.0037481936 0.0034320808 0.0036578758 0.004132045 0.0037030347 0.0035223989 0.0035111092 0.003601427 0.0034659503 0.0035901372 0.00390625 0.0037256142 0.003386922 0.0038498014 0.004120755 0.004064306 0.003646586 0.0037594833 0.0037594833 0.0036578758 0.003770773 0.0041546244 0.003861091 0.004132045 0.004064306 0.0033756322 0.0037030347 0.003691745 0.003996568 0.003646586 0.0035336886 0.0037030347 0.004685242 0.003815932 0.003815932 0.0034998194 0.0042562317 0.004030437 0.0040417267 0.003827222 0.0038046422 0.003815932 0.0036127167 0.0035901372 0.003736904 0.0031837067 0.00391754 0.0036691655 0.0037594833 0.0034885297 0.0036578758 0.0035901372 0.003736904 0.0038385116 0.0040191473 0.0037933525 0.004075596 0.0035223989 0.0034998194 0.003827222 0.0036804553 0.0036578758 0.0037594833 0.0036691655 0.0035223989 0.0035336886 0.0039401194 0.0035336886 0.003556268 0.0037933525 0.0039852783 0.0040417267 0.0038723808 0.004064306 0.0037143244 0.003996568 0.003861091 0.003827222 0.003736904 0.003827222 0.0037594833 0.003736904 0.003951409 0.0037820628 0.003770773 0.0038723808 0.0039288295 0.0036578758 0.0037481936 0.0035336886 0.0037143244 0.003815932 0.0037933525 0.0035788475 0.0046400833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009886259 0.0007123162 0.0016831342 0.000792739 0.0011776194 0.0008272059 0.0009248621 0.0011086856 0.0016084559 0.00044806986 0.00048828125 0.0005284927 0.0012120864 0.00050551473 0.00068359374 0.0009420956 0.0031192554 0.00024126838 0.0013844209 0.00033892464 0.0009420956 0.00031020222 0.00065487134 0.00050551473 0.0016199448 9.765625e-05 0.00010340074 0.00026999082 0.0010225184 0.00018956802 0.00049402576 0.0004710478 0.0025735295 0.00037913604 0.0010340074 0.00052274816 0.00091337314 0.00049402576 0.00071806065 0.0006261489 0.0012350644 0.00029871325 0.00026424634 0.00037913604 0.00085018383 0.00036764707 0.0005457261 0.0005629596 0.05986328 0.057462085 0.06155216 0.061046645 0.059576057 0.059375 0.0596335 0.059386488 0.0578642 0.059070542 0.059139475 0.06060432 0.05909352 0.059495635 0.059828814 0.05994945 426.0 5.892019 2510.0 0.009163347 0.015537849 0.005976096 0.0071713147 0.019521913 0.00876494 0.00876494 0.011155378 0.011553785 0.015139442 0.009163347 0.011952192 0.00996016 0.00876494 0.012350597 0.009561753 0.013545817 0.009163347 0.011553785 0.011553785 0.010756972 0.0139442235 0.010756972 0.008366534 0.009163347 0.012350597 0.011155378 0.009561753 0.009561753 0.009561753 0.010756972 0.009561753 0.008366534 0.009163347 0.011155378 0.011155378 0.01314741 0.012749004 0.009163347 0.0071713147 0.016733067 0.01314741 0.00876494 0.007569721 0.009561753 0.008366534 0.005976096 0.0139442235 0.011155378 0.006374502 0.011952192 0.012350597 0.009163347 0.00438247 0.009561753 0.00876494 0.008366534 0.009561753 0.008366534 0.008366534 0.009163347 0.007968128 0.01314741 0.00996016 0.010756972 0.009561753 0.011155378 0.0139442235 0.00996016 0.014342629 0.008366534 0.0071713147 0.011952192 0.012749004 0.0103585655 0.0071713147 0.010756972 0.009163347 0.011553785 0.0103585655 0.0067729084 0.012350597 0.015537849 0.010756972 0.01752988 0.009561753 0.006374502 0.00876494 0.012350597 0.0103585655 0.011155378 0.009561753 0.00996016 0.011952192 0.009163347 0.007968128 6.5420384 0.0 0.0 0.0 2.0 88576.0 466944.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1086264800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 90112.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7696759 0.0 0.0 0.0 0.0 -7.9857693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -90112.0 0.0 0.0 0.0 0.0 0.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 462848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0