Input: 0.035888005 0.022250723 0.01479745 0.01827795 0.01300132 0.016190892 0.011616748 0.015028064 0.011063273 0.013859027 0.010041475 0.01325677 0.009629031 0.012551622 0.009007259 0.012629677 0.008885743 0.01139589 0.008275502 0.011009168 0.0100955805 0.0110100545 0.0077025145 0.0101629915 0.0074266647 0.010144364 0.0069539053 0.009305283 0.007042603 0.009261821 0.0067889276 0.008811237 0.0071871807 0.009105713 0.0065538785 0.008342026 0.006410188 0.0081424555 0.0058815493 0.007927807 0.0058788885 0.0076750186 0.0055365153 0.007598738 0.005393712 0.007325549 0.005390164 0.0070284116 0.0052748565 0.0070026894 0.005223412 0.0071543627 0.004996346 0.006863434 0.0048881345 0.006417284 0.004897891 0.0064084143 0.0047275913 0.0064775986 0.0046743727 0.006030562 0.0044508544 0.005829218 0.0045253607 0.0058833235 0.004178552 0.005747616 0.004185648 0.006733935 0.0042415275 0.005701493 0.0040322007 0.0053608934 0.0037581248 0.005017633 0.0038441615 0.0051994636 0.0038140044 0.0049608666 0.0042885374 0.0048366897 0.0035789553 0.0052899355 0.0036233042 0.004855316 0.003627739 0.004897004 0.0034601002 0.004706304 0.003229486 0.004387879 0.003308427 0.0043736873 0.0032339208 0.0042424146 0.003154093 0.0043736873 0.0030130635 0.0041271076 0.0032064246 0.0046043014 0.0030166113 0.0038760928 0.0034388127 0.003984304 0.0033306014 0.0037581248 0.0029944368 0.0037226456 0.0029598447 0.0038370658 0.0028480855 0.003427282 0.0029172697 0.0036463656 0.0036312868 0.004252171 0.0025332083 0.003389142 0.0024329799 0.0032623042 0.0022954985 0.0030538645 0.002550061 0.0033128618 0.0022848547 0.002949201 0.0025633657 0.0030547513 0.0020542406 0.0036383828 0.0024019356 0.0033199578 0.0020622232 0.002747857 0.002153582 0.0031966679 0.002191722 0.0038876235 0.0018963584 0.0030804737 0.001832496 0.002506599 0.001831609 0.002389518 0.001791695 0.00231856 0.0017340415 0.0023425082 0.0016551005 0.0023061421 0.0016577614 0.0022041397 0.0016586484 0.0020418228 0.0015282626 0.0020764149 0.0015406803 0.001959334 0.0016444568 0.002027631 0.0014608523 0.0021039112 0.0014262602 0.0018617663 0.0013419973 0.0017819382 0.001354415 0.0017411374 0.001279022 0.0017340415 0.0012878916 0.0016559875 0.0012036288 0.0016808228 0.0012630563 0.0015433413 0.0010989654 0.0015105231 0.0011379925 0.0015016533 0.0012612824 0.0014493216 0.0010634863 0.0013712676 0.001033329 0.0013854592 0.0009676927 0.0012905527 0.00092245685 0.0013011964 0.0014830268 0.0013295796 0.00092245685 0.001436017 0.0011353315 0.0011308966 0.0009934151 0.0012311251 0.00089052564 0.001158393 0.0007548181 0.0009916411 0.0007317566 0.00091536104 0.0007202259 0.00097035366 0.0013783635 0.0021385034 0.00068031193 0.00085061166 0.00065192865 0.0008062628 0.0008098107 0.0007654618 0.0006341891 0.0007654618 0.0005126731 0.00076280086 0.0005286387 0.0006528156 0.00046921123 0.0006457198 0.00059516204 0.0005490392 0.00041599257 0.0005632309 0.00042752328 0.00046388936 0.0003388255 0.00044171492 0.0009481792 0.00060846674 0.00028915473 0.00068918173 0.000518882 0.0003547911 0.0002678673 0.00032019897 0.00040534884 0.00027230216 0.00020577884 0.00027673706 0.00038849626 0.00021997048 0.00028560683 0.00025278865 0.000558796 0.00027851103 0.00013925551 0.00017296066 0.00030512034 0.00016852577 0.00018094346 0.0035727464 0.0054545454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008433949 1.7755682e-06 3.1072443e-06 7.546165e-06 8.433949e-06 1.1541193e-05 1.953125e-05 1.0653409e-05 0.0 0.0 0.0 0.0 4.4389205e-07 4.4389205e-07 4.4389205e-07 1.7755682e-06 0.0016299715 4.3057527e-05 1.2428977e-05 1.1541193e-05 1.731179e-05 1.8199575e-05 2.9740768e-05 2.0862926e-05 8.433949e-06 3.1072443e-06 3.9950282e-06 3.5511364e-06 5.3267045e-06 3.9950282e-06 2.6633522e-06 3.9950282e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042160866 6.12571e-05 0.00021484375 8.522727e-05 7.4129974e-05 9.632458e-05 0.0005459872 0.00055575283 0.00017356178 7.7237215e-05 5.59304e-05 3.639915e-05 2.7521306e-05 4.527699e-05 3.684304e-05 6.12571e-05 0.0030242365 6.70277e-05 0.0003688743 0.00016867898 0.00031338778 0.00025301846 0.0013463246 0.00074529473 1.509233e-05 1.10973015e-05 1.0653409e-05 1.10973015e-05 4.8828124e-06 7.9900565e-06 1.3316761e-06 1.4648437e-05 0.0019136186 6.036932e-05 0.0002561257 0.00017045454 0.00021439986 0.00018199574 0.0009889915 0.00056995737 2.9296874e-05 1.9975141e-05 1.9975141e-05 1.5536221e-05 1.9087358e-05 2.6633523e-05 1.731179e-05 4.1725852e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00039462003 0.00021040483 0.00013805043 0.00011940696 4.083807e-05 4.4833097e-05 0.00012073864 5.7262074e-05 4.083807e-05 2.6189631e-05 7.4573865e-05 2.3970171e-05 3.3291904e-05 0.00023925782 6.747159e-05 0.00018643466 0.2165159 0.13999334 0.10869362 0.08921032 0.07484863 0.06234153 0.052797407 0.044759855 0.03887207 0.030681819 0.02492365 0.01960094 0.015146928 0.010439897 0.0062610973 0.0030948154 0.0047589666 0.003761541 0.001677912 0.0015318715 0.0016419566 0.0029625355 0.0015216619 0.0020321377 0.003392223 0.00022017045 0.0004754084 0.0004017223 0.0015110085 0.0021821733 0.001364968 0.0042001065 0.00010076349 0.00012384588 5.5042612e-05 3.90625e-05 5.2823154e-05 4.4389206e-05 3.506747e-05 4.9272017e-05 7.368608e-05 5.3267045e-06 2.5301846e-05 1.6424006e-05 5.0603692e-05 0.00011230469 4.128196e-05 8.38956e-05 12556.0 6.0348835 75774.0 0.015480244 0.019716525 0.01342149 0.017723758 0.013197139 0.017354237 0.012708845 0.017512603 0.012510887 0.01678676 0.0120621845 0.016536014 0.010848048 0.01591575 0.012141367 0.016232481 0.011402328 0.015295484 0.011019611 0.015308681 0.011679468 0.014543247 0.0103861485 0.013988967 0.011111991 0.01443767 0.010491725 0.014002164 0.010359754 0.012510887 0.009303983 0.012735239 0.009026843 0.0134478845 0.010029825 0.012761633 0.009079631 0.013725025 0.008908069 0.012246945 0.008987252 0.011890622 0.0081954235 0.01079526 0.008736506 0.011349539 0.0087101115 0.010980019 0.009013646 0.010544514 0.008063451 0.011837834 0.008076649 0.009911051 0.007720326 0.011046005 0.008103043 0.010043022 0.007126455 0.00950194 0.006849315 0.009158814 0.0070868637 0.009383165 0.006717344 0.010636894 0.0065721753 0.009897854 0.0074431864 0.014411275 0.006928498 0.008842083 0.007060469 0.009858263 0.006374218 0.008644126 0.0078391 0.0092907855 0.007944678 0.009528334 0.0069944835 0.007509172 0.009158814 0.00904004 0.009422757 0.0074695805 0.005529601 0.007403595 0.0057803467 0.007720326 0.005226067 0.0065457807 0.005133687 0.006558978 0.005476813 0.005978304 6.5165625 1.0 0.0 0.0 16.0 1127424.0 86016.0 0.0 0.0 22.0 0.0 1.0 0.0 0.0 0.0 1180553600.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.514779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.557199 0.0 2.2897034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65314.0 0.0 5008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 68972.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.19012426 0.04038352 0.028321424 0.010386366 0.018053623 0.006853105 0.019681927 0.00671873 0.007264133 0.004576641 0.018195903 0.0035727837 0.002276464 0.0028534844 0.0031617554 0.0018180093 0.0038731503 0.009026811 0.014196281 0.0058255345 0.004821677 0.0070032883 0.0029957632 0.0020472365 0.0020788542 0.0016994436 0.0015887821 0.0020867586 0.0051141395 0.0020472365 0.0034226002 0.0024898823 0.007074428 0.003762489 0.0022606552 0.0020235234 0.002118376 0.0022132287 0.0021816113 0.0023317947 0.011390224 0.0025531175 0.007264133 0.0031775641 0.0029404326 0.0030352853 0.006449981 0.0019998103 0.010425888 0.0054856455 0.0033277476 0.00297205 0.003398887 0.0023238903 0.0022606552 0.002118376 0.0019444795 0.0025926395 0.0014781207 0.0012567978 0.003991716 0.0018575313 0.003130138 0.0010433793 0.0018338182 0.003130138 0.0025215 0.006971671 0.002766536 0.003256608 0.002584735 0.004576641 0.0022290375 0.004600354 0.0014385987 0.0015018338 0.0018970532 0.002806058 0.002418743 0.0021420892 0.0037782977 0.0013279372 0.0024582648 0.005208992 0.0035253572 0.002932528 0.0032012775 0.0022448464 0.0018970532 0.0022922726 0.0012884153 0.0008852915 0.0012488933 0.0013516505 0.0014227899 0.008457696 0.0014702163 0.01433856 0.0031380423 0.009074238 0.008473504 0.026661502 0.0039521945 0.0056437333 0.0027191096 0.015571645 0.00086948276 0.0029562414 0.009991147 0.0063551283 0.0144808395 0.025317756 0.0063788416 0.0012647022 0.0146863535 0.015200139 0.021689642 0.0075803087 0.002481978 0.0021816113 0.0026163526 0.0039521945 0.0013042241 0.005446124 0.0023555078 0.004292083 0.0014227899 0.0007825345 0.0065606423 0.0066792085 0.004861199 0.001770583 0.0012884153 0.00067187304 0.0030194763 0.0005137852 0.0007825345 0.0012172759 0.0006481599 0.0026321614 0.0010670924 0.00093271787 0.00043474138 0.0005612116 0.0005612116 0.0009801441 0.0005612116 0.0008931959 0.00065606425 0.00073510816 0.0007825345 0.00067187304 0.00083786517 0.0008457696 0.00045055014 0.000529594 0.0006086379 0.0011619452 0.00058492477 0.00045055014 0.0011303276 0.0014623118 0.00059282914 0.0012330846 0.001059188 0.0009801441 0.0007588213 0.00065606425 0.00071929937 0.00086157833 0.0004979765 0.0004821677 0.0006086379 0.00077463005 0.0004742633 0.0008852915 0.00094062224 0.0009485266 0.00067187304 0.000569116 0.0009011003 0.0010117617 0.0005454028 0.00037941066 0.0005612116 0.0007430125 0.00043474138 0.0009643354 0.00062444666 0.000995953 0.00050588086 0.0006086379 0.0008457696 0.0011066144 0.0007509169 0.00071139494 0.0008457696 0.0015334514 0.0011619452 0.00037941066 0.00059282914 0.0014148855 0.00062444666 0.0007034906 0.0006639686 0.0004979765 0.00067187304 0.0004821677 0.0008299608 0.0007034906 0.0006797774 0.00080624764 0.0006323511 0.0006323511 0.0005137852 0.00036360187 0.0006323511 0.000814152 0.00045055014 0.0004979765 0.00071929937 0.0009169091 0.0013437461 0.0006165423 0.00085367396 0.0016441129 0.0006639686 0.0005533072 0.00080624764 0.0006481599 0.0014227899 0.000529594 0.00065606425 0.0010354749 0.0005612116 0.00053749845 0.000529594 0.00090900465 0.00040312382 0.0005137852 0.0008457696 0.0010196661 0.0005612116 0.0004979765 0.0006323511 0.00057702034 0.0006165423 0.00080624764 0.00039521942 0.00071929937 0.00050588086 0.00053749845 0.0005137852 0.00062444666 0.0022606552 0.0011540407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0063916817 2.8016137e-05 0.00012407146 0.00024814293 0.00020411758 7.60438e-05 0.00078044954 0.0003041752 8.00461e-06 8.00461e-06 0.0 8.00461e-06 4.002305e-06 0.0 8.00461e-06 4.002305e-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 0.007220159 0.0 0.0010766202 0.00087650487 0.011626697 0.009861681 0.06604204 0.03444384 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06739482 0.0072441725 0.010914287 0.0032418673 0.004154393 0.0044105407 0.015060675 0.013127562 0.0005843366 0.00038822362 0.000288166 0.0005403112 0.0006003458 0.00088050717 0.0010005763 0.0013167585 0.12686507 0.014908588 0.018650742 0.015120709 0.009813652 0.0090812305 0.03296699 0.023381468 0.0041303793 0.0022332864 0.002281314 0.0017810259 0.0026775422 0.0024053855 0.0017450051 0.002449411 0.063512586 0.019459208 0.010778208 0.005519179 0.005491163 0.0047787526 0.012050942 0.0072001475 0.013267642 0.0020531826 0.0023933786 0.0017730213 0.0025854893 0.0012367123 0.002253298 0.0013847976 0.045442175 0.012747343 0.0070480597 0.0048467917 0.0045706327 0.0038862384 0.0055592023 0.0031538166 0.006803919 0.0013928022 0.001977139 0.001977139 0.0019251088 0.0015208761 0.0020611873 0.0016449474 0.017718205 0.006123527 0.004630667 0.006183562 0.0035340355 0.003329918 0.004430552 0.0025934938 0.0023573579 0.000720415 0.0012687307 0.0009845671 0.0009885695 0.00088050717 0.00091652793 0.0007164127 0.008893123 0.0025774846 0.0018170467 0.0015969198 0.0014488345 0.0013167585 0.0006603804 0.0005643251 0.00062836194 0.00062836194 0.00086449797 0.0009925717 0.0006763896 0.0007484311 0.00062435964 0.0005523181 0.012411149 0.0042944737 0.0043024784 0.007068071 0.0033739435 0.0039022476 0.008624968 0.0053110593 0.003185835 0.0019491226 0.0020211642 0.0016849706 0.0018650743 0.0016969774 0.001704982 0.002177254 0.008444864 0.0032218557 0.0033419249 0.0045986488 0.0025174501 0.0028256276 0.0056192367 0.003962282 0.0025214523 0.0017850281 0.0019171042 0.0015769083 0.0015328829 0.0016289382 0.0018050397 0.0018810835 1668.0 20.081535 33496.0 0.0072545977 0.00044781467 0.0006567948 0.0005970862 0.0008359207 0.00020898017 0.0006866492 0.0005672319 0.0002686888 0.0002985431 0.0002985431 0.0015225699 0.0017315501 0.002209219 0.014598758 0.0036422259 0.01842011 0.010687843 0.007075472 0.0046572727 0.0043587293 0.003940769 0.0032242655 0.003164557 0.002866014 0.0042393124 0.00095533795 5.9708622e-05 0.007851684 0.0016419871 0.0079113925 0.00023883449 0.00017912587 0.0059410078 0.0039109145 0.021226415 0.0046871267 0.007821829 0.0048662527 0.0062096966 0.0026271793 0.011075949 0.0003283974 0.0019106759 0.0034631002 0.0066873655 0.0047766897 0.0045975638 0.00886673 0.00023883449 0.004836398 0.015643658 0.009314545 0.001343444 0.00519465 0.004418438 0.00047766897 0.00020898017 0.0008359207 2.9854311e-05 0.00035825174 0.00017912587 0.00014927155 0.02734655 0.001433007 0.04690112 0.008568187 0.029824456 0.026779316 0.09305589 0.011195366 0.017852878 0.007165035 0.05278242 0.0005970862 0.007523286 0.03191426 0.018808216 0.049737282 0.06499284 0.019226177 0.0005075233 0.047259375 0.045468114 0.075710535 0.023584906 0.006418677 0.005821591 0.006896346 0.010986387 0.0014031526 8.9562935e-05 0.00017912587 5.9708622e-05 0.00014927155 0.00023883449 5.3020406 2.0 22.0 0.0 2.0 126512.0 139264.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 3557337600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 48.0 0.0 4.0 0.0 6.0 0.0 108032.0 512.0 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 -108032.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2018256 0.0 3.3688867 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 -107672.0 0.0 1132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 115775.0 1132.0 122880.0 0.0 0.0 15920.0 110592.0 12.0 131072.0 56.0 115620.0 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: 0.014345943 0.0040877117 0.0037176637 0.004015535 0.0037073528 0.0040407395 0.0037417226 0.0039559607 0.003700479 0.0037222465 0.0039238823 0.0038952408 0.0038436863 0.003920445 0.0038872212 0.0038391037 0.0036202827 0.0038173362 0.0039536697 0.0038539972 0.0038872212 0.0039227367 0.0039135716 0.00373714 0.0037864032 0.0038688907 0.003962835 0.0039170086 0.0039192997 0.003700479 0.003878056 0.003773801 0.0037291204 0.0037279746 0.0037176637 0.0036810027 0.0037955686 0.00391128 0.003804734 0.0038929495 0.0038471234 0.003855143 0.0038769103 0.0037944228 0.0038161904 0.0038448318 0.0038494146 0.0038093165 0.0039192997 0.0037886947 0.0038287926 0.003837958 0.0038597255 0.0037440138 0.0037176637 0.003837958 0.00379786 0.00394565 0.0037348487 0.003968563 0.0037382857 0.003931902 0.0037520335 0.0038253558 0.003827647 0.003928465 0.0038230645 0.0038872212 0.0039101345 0.0040441765 0.0038494146 0.0038161904 0.0038494146 0.003747451 0.0038127534 0.0039467956 0.0038734735 0.0038814931 0.003740577 0.0038333754 0.0037440138 0.0038952408 0.003989185 0.0038826386 0.0038505602 0.0038196275 0.0038620168 0.0037806751 0.0038230645 0.0038001512 0.0038505602 0.003860871 0.0037806751 0.003902115 0.0037795294 0.0036030977 0.0037634901 0.0038425406 0.0037864032 0.0039170086 0.0039903307 0.0041152076 0.0037783836 0.0038975324 0.0039101345 0.004015535 0.0038001512 0.0038299384 0.003978874 0.0037760923 0.0038723277 0.003837958 0.0038368122 0.0038127534 0.0039674174 0.003907843 0.004018972 0.0038391037 0.003908989 0.0038677452 0.0037463054 0.003914717 0.003787549 0.003827647 0.003926174 0.0039032605 0.0038391037 0.0038574343 0.003810462 0.0040247003 0.0037829664 0.003918154 0.0038081708 0.0038127534 0.0038975324 0.00382421 0.0037806751 0.0039032605 0.003804734 0.0038700365 0.003942213 0.0038643081 0.003714227 0.003733703 0.0037497422 0.0038952408 0.003907843 0.0037566163 0.0039433585 0.003801297 0.0037760923 0.0037749468 0.003920445 0.0037898403 0.0039502326 0.003820773 0.0039135716 0.0037440138 0.003784112 0.0037898403 0.0039341934 0.0037566163 0.0038975324 0.0038975324 0.0038539972 0.0038333754 0.003914717 0.0038665994 0.003747451 0.0037634901 0.0037256833 0.0037783836 0.0037611988 0.0037623444 0.0037921316 0.0038803474 0.003855143 0.003841395 0.0038093165 0.003784112 0.0038734735 0.0037417226 0.0037589076 0.0038860757 0.00394565 0.0038333754 0.0038860757 0.0038322296 0.003921591 0.0038127534 0.0037554705 0.0037669272 0.0037955686 0.003784112 0.0039903307 0.003740577 0.0037485966 0.0039227367 0.0038356667 0.0038952408 0.003784112 0.0038184817 0.003929611 0.0037348487 0.0038161904 0.0036649634 0.0037291204 0.0037417226 0.0039582523 0.0038093165 0.0038459776 0.003834521 0.003834521 0.0036157002 0.003726829 0.0037314116 0.0038860757 0.0038116078 0.0038528515 0.003773801 0.0038448318 0.0038872212 0.0037657814 0.0037520335 0.0038024425 0.0037451596 0.0038127534 0.0038081708 0.0038986779 0.0037222465 0.003931902 0.0038448318 0.0039192997 0.0037107898 0.0037657814 0.0037176637 0.0036981876 0.0037589076 0.003921591 0.0037795294 0.0039158626 0.003784112 0.0038265013 0.0038482689 0.003834521 0.0038253558 0.0037692185 0.0037073528 0.0037279746 0.003837958 0.0037646359 0.00379786 0.0037417226 0.0038024425 0.0038688907 0.011857572 0.0023375533 7.4590557e-06 0.0 0.0 0.0 5.737735e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011796784 5.1639614e-05 4.590188e-06 4.590188e-06 4.590188e-06 7.4590557e-06 6.885282e-06 5.1639613e-06 5.1639613e-06 2.295094e-06 3.442641e-06 4.590188e-06 4.590188e-06 2.8688676e-06 5.1639613e-06 4.590188e-06 0.0022325527 0.0010609071 1.7213205e-06 8.606603e-06 9.180376e-06 9.180376e-06 8.032829e-06 1.7213205e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012508263 0.00014631225 1.7213205e-06 9.180376e-06 9.180376e-06 1.7213205e-06 2.295094e-06 6.885282e-06 8.606603e-06 9.180376e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0009800051 0.0038614958 6.483641e-05 4.245924e-05 6.598395e-05 0.00021803394 2.4098486e-05 2.4098486e-05 2.8114902e-05 1.6065658e-05 1.3196791e-05 1.7786979e-05 2.0082072e-05 1.5491885e-05 1.0901696e-05 2.6967355e-05 0.00025073902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011481207 2.5819807e-05 2.4672261e-05 2.6967355e-05 6.598395e-05 9.75415e-06 1.7213206e-05 1.7213206e-05 9.75415e-06 5.737735e-07 2.8688676e-06 4.590188e-06 4.590188e-06 1.7213205e-06 4.0164146e-06 0.0009863167 0.00056344556 1.0901696e-05 1.7786979e-05 1.8360752e-05 1.8360752e-05 1.7213206e-05 1.147547e-05 9.180376e-06 9.180376e-06 9.180376e-06 9.180376e-06 9.180376e-06 9.180376e-06 8.032829e-06 9.180376e-06 0.00044524824 0.00075451215 7.631187e-05 5.0492068e-05 1.95083e-05 4.0164145e-05 1.8934526e-05 9.008244e-05 4.245924e-05 1.5491885e-05 8.032829e-06 8.606603e-06 1.3770564e-05 1.147547e-05 1.3196791e-05 5.737735e-06 6.3115085e-06 0.00058295386 5.393471e-05 3.270509e-05 2.5246034e-05 2.0655845e-05 2.0655845e-05 8.147584e-05 5.393471e-05 8.606603e-06 5.1639613e-06 8.032829e-06 6.885282e-06 4.590188e-06 5.1639613e-06 6.3115085e-06 0.00025877185 0.00039131352 1.4344338e-05 2.8114902e-05 1.7213206e-05 7.401678e-05 5.1639614e-05 0.00035573958 0.00018532884 7.4590557e-06 6.885282e-06 5.737735e-06 1.147547e-05 8.032829e-06 9.180376e-06 4.0164146e-06 4.590188e-06 0.0002576243 5.393471e-05 4.303301e-05 2.5246034e-05 6.6557724e-05 5.7951125e-05 0.00038041183 0.0002163126 8.606603e-06 5.1639613e-06 8.032829e-06 6.885282e-06 4.590188e-06 5.1639613e-06 6.3115085e-06 2.9262448e-05 4.0164145e-05 3.90166e-05 4.1885465e-05 4.475433e-05 3.442641e-05 4.245924e-05 4.8770748e-05 3.2131316e-05 4.245924e-05 3.270509e-05 4.303301e-05 3.7869053e-05 4.6475652e-05 3.90166e-05 4.131169e-05 0.00056860957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.060814254 0.061109174 0.060651876 0.060982943 0.06125491 0.06101278 0.061080486 0.061378274 0.061376553 0.06126639 0.061094254 0.061227944 0.060849253 0.060869336 0.060762614 0.060767204 4229.0 5.9210215 25040.0 0.0097044725 0.010183706 0.009384984 0.009145367 0.010103834 0.009744409 0.010583067 0.009265176 0.009384984 0.01014377 0.009185304 0.0096246 0.008226837 0.010383386 0.012060703 0.008865815 0.009584664 0.009584664 0.010702875 0.010023962 0.009504792 0.009504792 0.009065495 0.00994409 0.009864218 0.01034345 0.010263578 0.0096246 0.008985623 0.01014377 0.008785943 0.0087060705 0.008666134 0.011900959 0.011301917 0.011142173 0.0118210865 0.010583067 0.010902556 0.00942492 0.009105431 0.009065495 0.010063898 0.0107827475 0.009305112 0.00994409 0.009824282 0.010503195 0.009864218 0.009584664 0.012020767 0.011182109 0.010223642 0.010303514 0.009664536 0.011022364 0.008985623 0.010702875 0.010223642 0.009784345 0.009664536 0.009824282 0.009464856 0.008346645 0.010063898 0.012140575 0.011381789 0.013059106 0.011062301 0.017132588 0.011182109 0.010702875 0.011102237 0.0138578275 0.0087460065 0.009464856 0.012899361 0.01086262 0.013578275 0.012140575 0.011102237 0.00994409 0.013897764 0.012100639 0.015095847 0.0117811505 0.011341853 0.010103834 0.009305112 0.009984026 0.00942492 0.01014377 0.009065495 0.011022364 0.010183706 0.010303514 6.5720415 0.0 0.0 0.0 7.0 872860.0 1499136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1533926400.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 1470464.0 512.0 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 -1470464.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.980753 0.0 0.0 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 -1470060.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1478164.0 1536.0 1482752.0 0.0 0.0 5400.0 1473024.0 12.0 1490944.0 0.0 0.0 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: 0.3474384 0.011713528 0.005996646 0.004968607 0.012262611 0.00447473 0.0041979505 0.0026648443 0.009895436 0.0024417792 0.003482501 0.0025275736 0.007586451 0.0017643776 0.0013175014 0.007067209 0.013978496 0.00173006 0.0012787075 0.0010616108 0.0035988828 0.0012436438 0.0010422138 0.000984769 0.0035772477 0.0015293759 0.0010354994 0.001509979 0.0037331695 0.0010146104 0.0010892141 0.001692758 0.0042225695 0.0009526893 0.0007766246 0.0013853908 0.00583401 0.0016047257 0.00081616454 0.00078632304 0.0016629166 0.0009482131 0.0008131804 0.0015487729 0.0015987575 0.00080422795 0.001147405 0.00081914867 0.002679019 0.001550265 0.0014361213 0.0046075247 0.0024074616 0.0015219155 0.0013764383 0.0013122791 0.0026051614 0.0026454474 0.0013853908 0.005174513 0.0023910487 0.0020598082 0.0038779005 0.0075879428 0.005130497 0.0030706886 0.0011033888 0.0019023945 0.0037719633 0.0108496165 0.004023378 0.0023045084 0.0036496134 0.0015793605 0.0008534664 0.0009705942 0.0024596842 0.0049387654 0.0017039486 0.0023492707 0.0064793318 0.0029117826 0.0018262987 0.0040756003 0.0020486177 0.0035951526 0.0031288795 0.0032639122 0.0028640362 0.0031154507 0.0011608336 0.001712901 0.0019993794 0.004052473 0.0024828112 0.003102022 0.001430899 0.0019299978 0.0008295932 0.001368978 0.0018345051 0.004027854 0.001752441 0.0010026738 0.0031139588 0.0017046947 0.005096925 0.0008795777 0.0020665226 0.0014920741 0.0020530939 0.0021165072 0.0018180923 0.00077960873 0.0020583163 0.0018770292 0.0084190285 0.008693569 0.0012742312 0.0010399757 0.001407772 0.003466834 0.0009437369 0.0007833389 0.0022500476 0.0027834643 0.0016755993 0.0011295001 0.0029446082 0.0019553632 0.00079079927 0.00789531 0.0026640983 0.006681508 0.003786884 0.0013354063 0.002318683 0.010033452 0.0013988195 0.023940329 0.0013115332 0.006502459 0.0022090157 0.0009168795 0.0021224753 0.00087062526 0.0007617038 0.00082064077 0.0010384836 0.0007408148 0.0011988815 0.00066621107 0.0012898981 0.001107865 0.0006908303 0.0006587507 0.0011138333 0.0008474981 0.001490582 0.00089449843 0.0012525963 0.0013361523 0.00059981376 0.00075797364 0.00095418136 0.00076244987 0.0009086731 0.0006274172 0.001168294 0.00064457604 0.0006169726 0.00065129035 0.00092284783 0.0006139885 0.0006423379 0.0011421827 0.0018755371 0.0007102273 0.00063338544 0.00062965526 0.0012108182 0.0007982596 0.00181287 0.0009280701 0.0017539331 0.0008900222 0.00069978274 0.0006550205 0.0010854839 0.000663973 0.0015457887 0.0010757854 0.008754745 0.0040964894 0.004979051 0.0031087364 0.0052804505 0.0007684182 0.0016815675 0.0029901166 0.0020933799 0.0023955249 0.00094895915 0.0011466589 0.0012518502 0.00075648155 0.0015047567 0.0009429908 0.0017024565 0.0011973894 0.0015062488 0.00095119723 0.0013092951 0.00063487754 0.00084227585 0.00073410047 0.007969168 0.011079396 0.00082660903 0.0018158542 0.001489836 0.0020456335 0.0016636626 0.0014376134 0.0027625752 0.0010571345 0.0010086421 0.0008281011 0.0017979493 0.00066322694 0.0007191797 0.0006788937 0.009125525 0.0023470325 0.00091538747 0.004291951 0.003201245 0.0006669571 0.0015368364 0.0007072431 0.0031154507 0.0016032336 0.0008012438 0.00091762556 0.0020269826 0.0006624809 0.0021657455 0.002016538 0.0039226627 0.0015845827 0.0011832147 0.0018859816 0.0043374593 0.0016614245 0.0019240296 0.022587763 0.266042 1.8665186e-06 7.4660744e-07 0.0 0.0 7.4660744e-07 0.0 7.4660744e-07 0.0 3.7330372e-07 3.7330372e-07 3.7330372e-07 3.7330372e-07 7.4660744e-07 1.8665186e-06 4.852948e-06 0.00072159606 1.1199111e-06 3.3597335e-06 1.4558845e-05 2.9864298e-06 3.7330371e-06 3.3597335e-06 1.4932149e-06 1.8665186e-06 7.4660744e-07 3.7330372e-07 1.4932149e-06 1.4932149e-06 2.6131258e-06 1.4932149e-06 2.2398222e-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 0.004249316 0.00016425364 4.703627e-05 4.927609e-05 5.338243e-05 2.8371081e-05 0.000103405124 5.5995555e-05 5.8608683e-05 1.1572415e-05 8.585986e-06 3.7330371e-06 4.628966e-05 4.852948e-06 4.8902784e-05 0.00041810016 0.00058869994 3.733037e-05 1.00792e-05 1.8665186e-06 1.4932149e-06 1.8665186e-06 1.8665186e-06 1.4932149e-06 1.4932149e-06 1.0825807e-05 1.8665186e-06 1.4932149e-06 1.4932149e-06 1.0452503e-05 2.0905007e-05 7.130101e-05 0.000575261 5.0396e-05 8.959289e-06 3.6583762e-05 7.4660743e-06 5.9728595e-06 1.306563e-05 8.585986e-06 7.0927704e-06 4.106341e-06 3.3597335e-06 6.719467e-06 5.5995556e-06 4.106341e-06 5.9728595e-06 2.127831e-05 0.0017261563 2.4638044e-05 1.9038489e-05 1.1945719e-05 2.314483e-05 2.127831e-05 2.6504564e-05 0.00073167525 4.516975e-05 2.4638044e-05 3.919689e-05 3.7703674e-05 0.0016981586 3.135751e-05 2.01584e-05 0.000106391555 0.007332058 0.00037703675 0.00018851837 0.0011359631 0.008548655 0.0041899607 0.005599929 0.0043333094 0.00016574685 0.00019673105 0.00018553194 0.00016089389 0.0035467586 0.00019299802 8.362003e-05 0.00045953685 0.0065861973 0.0005551026 0.00050769304 0.00046065677 0.0014570043 0.0011225243 0.0018799575 0.0012755787 0.00024787366 0.00019486454 0.00017769256 0.00016761337 0.001280805 0.00015230791 0.00017881248 0.0021039397 0.0074974317 0.0009149674 0.0015712354 0.0009840286 0.0008955556 0.0005136659 0.0028524136 0.0015014275 0.0002698986 0.00023518133 0.00016313372 0.00016649345 0.0004752156 0.00017769256 0.00014484183 0.0007499672 0.006100156 0.0009530444 0.00088659633 0.008613983 0.001288271 0.0011766533 0.0021203652 0.001494708 0.0015507037 0.00069695804 0.0006025122 0.0006656005 0.00082350796 0.0011146849 0.00083321385 0.0008955556 0.014836582 0.002607153 0.0010598092 0.0013961559 0.0028486806 0.002460818 0.0012718458 0.0021065527 0.006355869 0.0008761438 0.0005229985 0.0008369469 0.0020468242 0.002639257 0.0021282043 0.0034067696 0.065051906 0.014828743 0.007169298 0.008180951 0.0156306 0.01675611 0.0063233916 0.011495887 0.03639674 0.004261262 0.0029617916 0.0049011046 0.014437147 0.014755576 0.012400029 0.0213302 0.04298704 0.014243776 0.008874549 0.018048488 0.01436398 0.015604095 0.0071584717 0.0122230835 0.02641497 0.0044662054 0.0037640212 0.0045953686 0.013243696 0.012248841 0.011113625 0.017714007 0.0054968973 0.0053509353 0.0053766933 0.0055413204 0.0055525196 0.005943368 0.0053449627 0.005179962 0.005217293 0.00533227 0.005166523 0.005421863 0.005100822 0.005885506 0.0053378697 0.005142632 4744.0 15.586425 73942.0 0.023261474 0.0017581348 0.0013524113 0.0017716589 0.0037326554 0.0025290092 0.0014200319 0.001541749 0.0029212085 0.0018122313 0.0015147007 0.0018798518 0.0031240701 0.0020827134 0.007979227 0.0018798518 0.013226583 0.009656217 0.0076952204 0.008790674 0.012753239 0.006924346 0.006194044 0.005571935 0.0065321466 0.006072327 0.006153472 0.0069513945 0.0071272077 0.006559195 0.007411214 0.039693274 0.040355954 0.021976685 0.003232263 0.011252062 0.028211301 0.012847908 0.021408672 0.013659354 0.008466095 0.008425523 0.0015687972 0.002245003 0.010372995 0.022625841 0.0053690732 0.022477077 0.01532282 0.008533715 0.012847908 0.023748344 0.011874172 0.00960212 0.0049768738 0.009561548 0.005085067 0.003191691 0.007262449 0.0029617809 0.007154256 0.0023396716 0.0036515107 0.026115064 0.0024884369 0.023423765 0.004774012 0.014119174 0.014443753 0.05020151 0.009886127 0.0071677803 0.010670526 0.016999811 0.003935517 0.003218739 0.020177977 0.013158962 0.025141327 0.024843797 0.011955316 0.0022314787 0.022044305 0.019650538 0.041965324 0.016986286 0.005139163 0.003570366 0.0032998838 0.00976441 0.0017310865 0.0013659354 0.0028941603 0.0017446106 0.0024884369 0.0019204242 6.0401516 82.0 2.0 0.0 3.0 1340416.0 2023424.0 0.0 691.0 7.0 1.0 1.0 0.0 0.0 0.0 1250774900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 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 6.0 0.0 4.0 0.0 4.0 0.0 335872.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -334336.0 0.0 0.0 0.0 0.0 0.0 823808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7600374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.21409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.6360313 0.0 0.0 0.0 0.0 0.0 6.5790524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.827229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -335872.0 0.0 0.0 0.0 0.0 0.0 1495040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -3.0 3.0 -1.0 -3.0 2.0 -1.0 -2.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 3.0 1.0 0.0 -1.0 3.0 3.0 -1.0 -3.0 -2.0 4.0 -1.0 -4.0 0.0 -2.0 0.0 -1.0 2.0 2.0 1.0 1.0 3.0 3.0 0.0 -3.0 0.0 1.0 -1.0 1.0 5.0 -1.0 -2.0 1.0 1.0 5.0 3.0 4.0 1.0 -3.0 -1.0 0.0 4.0 -3.0 -3.0 -1.0 2.0 1.0 -1.0 3.0 -1.0 0.0 3.0 0.0 0.0 0.0 -5.0 2.0 5.0 3.0 0.0 0.0 -2.0 1.0 1.0 0.0 -4.0 1.0 0.0 0.0 -1.0 -3.0 -4.0 -2.0 3.0 3.0 0.0 -5.0 6.0 -3.0 0.0 2.0 5.0 2.0 2.0 3.0 -2.0 -2.0 1.0 0.0 1.0 0.0 5.0 1.0 1.0 -2.0 2.0 -3.0 -1.0 0.0 -3.0 -3.0 5.0 1.0 0.0 -2.0 2.0 -2.0 -2.0 37820.0 1836468.0 180.0 1994752.0 988.0 1835008.0 0.0 0.0 0.0 0.0 23480.0 1998848.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.58239067 0.010715061 0.0037027996 0.004272461 0.007446289 0.00326199 0.0020548503 0.0018513998 0.005967882 0.0009629991 0.0011393229 0.0010443793 0.003974067 0.0009901258 0.0009290907 0.007873535 0.0064697266 0.002190484 0.0004272461 0.00091552734 0.0020277235 0.0022311741 0.000773112 0.00065782334 0.0020887586 0.0011664496 0.0006510417 0.0027194554 0.0022447375 0.0020277235 0.002556695 0.0006374783 0.0053710938 0.0006374783 0.0006713867 0.0007188585 0.00845676 0.0008951823 0.0012207031 0.000515408 0.0012885199 0.00062391494 0.0010986328 0.0010172526 0.0009833442 0.00059000653 0.0007256402 0.0004611545 0.001308865 0.0012885199 0.0013766818 0.0035332574 0.0016072592 0.0014173719 0.0010375977 0.0008544922 0.0011935764 0.0016411676 0.00057644316 0.0034518773 0.0011054145 0.0011461047 0.00069851347 0.007615831 0.0026109484 0.0016072592 0.0009087457 0.0012139215 0.0026516384 0.0034654406 0.0023939344 0.0015055338 0.0015530057 0.0007052951 0.0008544922 0.00052218966 0.0013563368 0.0019938152 0.0009833442 0.0010850695 0.0034518773 0.0011189779 0.0007052951 0.0026245117 0.0009901258 0.0016343859 0.0026855469 0.0025160047 0.00069173175 0.0020141602 0.0002983941 0.00091552734 0.00064425997 0.0012885199 0.0016818576 0.0013563368 0.0006306966 0.0023328993 0.00040690103 0.001437717 0.0014851888 0.004638672 0.0043877494 0.000922309 0.0020073785 0.0030314128 0.0022922093 0.0007527669 0.0022379558 0.0008748372 0.002061632 0.0024753148 0.0013427734 0.0006849501 0.003194173 0.0021565754 0.0067816842 0.0058051217 0.0013292101 0.0008070204 0.00082736544 0.0009901258 0.0004272461 0.00028483072 0.00096978084 0.0015936957 0.00069173175 0.0005086263 0.0027940539 0.0021837023 0.0010375977 0.0068359375 0.003587511 0.0054185656 0.0021158855 0.0005018446 0.0015530057 0.0056830514 0.0012342664 0.015652128 0.00061035156 0.004184299 0.00090196397 0.0006306966 0.003004286 0.00024414062 0.00023735894 0.00031195747 0.000515408 0.0003933377 0.00030517578 0.00023735894 0.00037299262 0.00023057725 0.00017632378 0.00018988716 0.0003933377 0.00018310547 0.00041368272 0.00027804903 0.00033230253 0.0006374783 0.0003390842 0.0005018446 0.00031195747 0.0005018446 0.00035942925 0.000257704 0.0007256402 0.0002983941 0.0002102322 0.0006035699 0.00034586588 0.00018310547 0.00018310547 0.00040011934 0.00056966144 0.0002916124 0.00018988716 0.00023057725 0.00030517578 0.00023735894 0.0014987522 0.0006306966 0.00084771053 0.00028483072 0.00040690103 0.00028483072 0.00033230253 0.00027804903 0.0006510417 0.00036621094 0.0055202907 0.0017971463 0.0017361111 0.0022447375 0.0009969076 0.00030517578 0.0011800131 0.0016276041 0.000922309 0.0013495551 0.00045437284 0.00043402778 0.0002916124 0.00027804903 0.0008951823 0.0006035699 0.0008409288 0.0008544922 0.0003933377 0.0006849501 0.0005493164 0.00023057725 0.00035264756 0.00048149956 0.00090196397 0.00034586588 0.00030517578 0.0007324219 0.0004679362 0.00018988716 0.00031873916 0.00030517578 0.0012342664 0.0004611545 0.00028483072 0.0002102322 0.0008070204 0.00030517578 0.00041368272 0.00057644316 0.0059611 0.0036621094 0.00034586588 0.0022922093 0.0012953016 0.00024414062 0.00033230253 0.00040690103 0.0012478299 0.0006849501 0.000257704 0.00071207684 0.0013020834 0.00035942925 0.0014648438 0.0010918512 0.002298991 0.0008951823 0.0006306966 0.0009901258 0.0026312934 0.0007595486 0.002081977 0.025268555 0.42650515 0.0 0.0 4.780376e-05 1.3658217e-05 6.8291083e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006658381 1.02436625e-05 1.707277e-05 6.8291083e-06 1.3658217e-05 1.707277e-05 6.8291083e-06 1.3658217e-05 4.097465e-05 2.390188e-05 4.780376e-05 6.8291083e-06 4.4389206e-05 3.414554e-05 1.707277e-05 3.414554e-05 0.006518384 3.7560098e-05 6.829108e-05 2.390188e-05 3.414554e-05 4.4389206e-05 3.073099e-05 3.073099e-05 3.414554e-05 4.780376e-05 2.0487325e-05 2.0487325e-05 1.707277e-05 2.0487325e-05 2.0487325e-05 2.390188e-05 0.017940069 0.00017414226 0.00010926573 0.00030048078 0.00016048405 0.00021853147 0.0009731479 0.00061461976 7.170564e-05 3.7560098e-05 0.00018438592 4.4389206e-05 4.097465e-05 6.8291083e-06 4.4389206e-05 5.8047422e-05 0.022355087 0.0013658217 0.0002458479 0.00022194603 0.000505354 0.0002902371 0.0012702142 0.0006453507 0.0005155977 7.170564e-05 0.00015024039 3.073099e-05 4.780376e-05 8.5363856e-05 7.5120195e-05 9.560752e-05 0.019466374 0.0001263385 0.00023901879 0.00030048078 4.097465e-05 0.00022194603 0.004749645 0.0023560424 6.487653e-05 4.4389206e-05 0.00012292396 2.390188e-05 6.146198e-05 3.7560098e-05 4.4389206e-05 7.170564e-05 0.0050193947 0.0005224268 7.170564e-05 0.00017414226 0.00012975305 5.4632867e-05 3.414554e-05 7.170564e-05 0.00057705963 3.414554e-05 6.8291083e-06 3.7560098e-05 9.219296e-05 6.487653e-05 4.4389206e-05 5.8047422e-05 0.0049203727 0.00017072771 0.00012292396 9.219296e-05 0.00021853147 0.00010585118 6.829108e-05 9.560752e-05 0.0004473066 4.780376e-05 3.414554e-05 5.1218314e-05 0.00013658217 6.146198e-05 0.00010243663 0.00031755355 0.006525213 0.0029126147 0.0017858119 0.00017072771 6.829108e-05 8.877841e-05 0.00087754044 0.0005190122 0.0002595061 5.4632867e-05 5.8047422e-05 9.219296e-05 0.00010243663 0.00010926573 0.00012292396 0.00023901879 0.018274695 0.0031072444 0.0047462303 0.004466237 0.0013146034 0.0008946132 0.0035955256 0.0019428814 0.00047120848 0.00041316106 0.0004848667 0.0004097465 0.0004268193 0.00036194274 0.00041316106 0.0006351071 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042477055 0.001922394 0.0031652919 0.0043228255 0.0009970499 0.0009833917 0.00068291085 0.00057023054 0.00060096156 0.00048145215 0.00061803433 0.00045755025 0.0004234047 0.00041316106 0.00046437938 0.00062827795 0.0189098 0.001990685 0.0020726344 0.0017448372 0.002642865 0.0021272672 0.0020316597 0.0018643466 0.0057774256 0.00088436954 0.00049511035 0.0007204709 0.0019736122 0.00053949957 0.0017448372 0.003431627 0.05120124 0.008649066 0.006371558 0.009400268 0.0112612 0.011285102 0.009051983 0.010547558 0.02987735 0.0030048077 0.0016936188 0.0029057856 0.010110495 0.0029911494 0.008259807 0.01919321 0.027466673 0.008618335 0.0056101126 0.00838956 0.007453972 0.008099322 0.008051518 0.008754917 0.016103037 0.0021170236 0.0017516663 0.0024175043 0.007033982 0.0030355386 0.007245684 0.017711293 0.00086729677 0.00030730988 0.00074095826 0.00037901552 0.00060096156 0.0003277972 0.0006419362 0.00047462303 0.00041999016 0.0002595061 0.00046437938 0.00021170235 0.0002458479 0.0002458479 0.00034828452 0.00045755025 404.0 14.272277 5766.0 0.07440166 0.0026014568 0.004856053 0.0010405828 0.07405481 0.0036420396 0.010752688 0.0027748873 0.004509192 0.005723205 0.0069372184 0.0020811656 0.004509192 0.0036420396 0.0058966354 0.001560874 0.007284079 0.010405827 0.011099549 0.012313562 0.014047867 0.014915019 0.009018384 0.009018384 0.0046826224 0.008498092 0.006590357 0.0046826224 0.008151231 0.006763788 0.0034686092 0.00763094 0.0036420396 0.010405827 0.0064169266 0.008671523 0.0055497745 0.004856053 0.007110649 0.008151231 0.005723205 0.0039889 0.0006937218 0.0013874436 0.008151231 0.005029483 0.0026014568 0.013874437 0.012313562 0.0020811656 0.0058966354 0.016475894 0.006070066 0.012660423 0.011619841 0.008324662 0.0012140132 0.003121748 0.0012140132 0.001907735 0.0027748873 0.0020811656 0.0026014568 0.00381547 0.0024280264 0.030176898 0.0043357615 0.0159556 0.017516475 0.06399584 0.007284079 0.0064169266 0.0079778 0.03451266 0.003121748 0.003121748 0.02688172 0.010058966 0.029830039 0.031737775 0.01526188 0.006590357 0.03746098 0.018036768 0.04266389 0.018557059 0.0032951785 0.004162331 0.00381547 0.0074575096 0.0029483177 0.0010405828 0.001560874 0.0008671523 0.0006937218 0.002254596 5.800138 1.0 0.0 0.0 1.0 147456.0 147456.0 1.0 15.0 78.0 1.0 1.0 0.0 0.0 0.0 1013819140.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 0.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.583187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.54525155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3340319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.614587 0.0 3.7078364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 0.0 7328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 445.0 12908.0 60.0 64220.0 7328.0 73728.0 0.0 0.0 0.0 0.0 2068.0 81920.0 56.0 65992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.27779242 0.0061049107 0.00403125 0.0032254464 0.005388393 0.0028861607 0.002361607 0.001984375 0.006345982 0.0016941965 0.002107143 0.0014732142 0.004625 0.0018973214 0.0010334821 0.0062142857 0.0047566965 0.0010803571 0.0010602679 0.000875 0.002361607 0.0014397322 0.005078125 0.00095089286 0.0019620536 0.0011138393 0.0008392857 0.00091964286 0.0014642858 0.00089732144 0.0014419643 0.0012075893 0.013709822 0.0068214284 0.0016205357 0.0013571428 0.004888393 0.001375 0.0008013393 0.0015647322 0.002267857 0.0010602679 0.0011674108 0.0017991072 0.0013459822 0.0018549107 0.001125 0.0008191964 0.00325 0.0014174107 0.0016316965 0.0045580356 0.0018928571 0.001546875 0.0016473214 0.0012388392 0.0022232144 0.0020848215 0.0015736608 0.0029263394 0.0022857143 0.0017901786 0.0014955357 0.0018191964 0.0035267856 0.003049107 0.0029866071 0.0063683037 0.0066138394 0.005877232 0.0026361607 0.0020379464 0.0025558036 0.0018058036 0.0017232143 0.0012366071 0.0024575894 0.0036294642 0.0024464286 0.002341518 0.0069375 0.0023370537 0.0024732142 0.0037075893 0.00228125 0.0027299107 0.0033415179 0.006129464 0.0016160714 0.0033839287 0.0014441964 0.0020691964 0.0020401785 0.0029174108 0.0022901786 0.0021004465 0.0013348215 0.00303125 0.0013214286 0.0021183037 0.0029464285 0.004381696 0.0031428572 0.0011629465 0.006136161 0.0023839285 0.0036183037 0.0010982143 0.0026674108 0.0013549107 0.002794643 0.002830357 0.0021316963 0.00089732144 0.003372768 0.0032544644 0.0081071425 0.0072120535 0.0016919643 0.0013683036 0.0018125 0.0014486607 0.0009866072 0.0009642857 0.0015625 0.0021450892 0.0015401785 0.0017991072 0.0029084822 0.0024084821 0.001578125 0.0074419645 0.0022232144 0.0070401784 0.0022098215 0.0011674108 0.0031629463 0.0063839285 0.0014888393 0.018832589 0.0012165179 0.0061183036 0.0009575893 0.0016450892 0.0037790178 0.0009776786 0.000921875 0.0012611607 0.0012857143 0.0032410715 0.0065044644 0.0010267857 0.001328125 0.0009776786 0.000875 0.00095089286 0.001125 0.0016205357 0.0013125 0.0013549107 0.0017700893 0.0020691964 0.0016651786 0.0017433036 0.0016205357 0.0014151785 0.0014017858 0.004609375 0.0021160715 0.0013125 0.0019040179 0.001625 0.0016919643 0.0015892857 0.0016294643 0.0015535714 0.002375 0.0014441964 0.0010669642 0.00089285715 0.0013816964 0.001125 0.0018861607 0.0014776785 0.0019017857 0.0009821429 0.0010714285 0.0010022322 0.0012232143 0.00096651784 0.0011763393 0.0011383928 0.005267857 0.003189732 0.0021897322 0.0031651785 0.002984375 0.0009799107 0.0023325894 0.0030379465 0.0024732142 0.003174107 0.0030022322 0.00083482143 0.009180804 0.00093303574 0.0010200893 0.00089285715 0.002830357 0.0011696429 0.0021450892 0.0019196429 0.0016026786 0.0012098214 0.00082589284 0.0006339286 0.0016607143 0.00095089286 0.00084821426 0.0011629465 0.0012857143 0.000671875 0.00063839287 0.000640625 0.0023125 0.00091517856 0.00095089286 0.0008236607 0.0017165178 0.0020848215 0.0008169643 0.0008191964 0.011709821 0.0025401786 0.0010022322 0.0028549107 0.0027700893 0.0006361607 0.0013102678 0.0019464286 0.0031830356 0.0013214286 0.002970982 0.007870535 0.0056651784 0.006245536 0.0055424105 0.0038482144 0.0062254462 0.0035714286 0.0010691964 0.0010022322 0.0028861607 0.0023236608 0.0152857145 0.06948661 0.038918033 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.839378e-06 6.4954846e-05 0.008665873 2.2398222e-06 3.3597335e-06 3.6957066e-05 5.151591e-05 3.5837154e-05 0.0 3.6957066e-05 7.7273864e-05 0.0 6.383494e-05 5.151591e-05 2.2398222e-06 0.0 1.1199111e-06 0.00014558845 0.008006245 0.0 0.0 3.3597335e-06 0.0 0.0 0.0 2.4638044e-05 2.6877868e-05 0.00012766987 0.00020494373 3.3597335e-06 0.0 0.0 1.2319022e-05 0.0007648993 0.055988837 2.01584e-05 1.6798667e-05 9.295262e-05 5.5995556e-06 7.7273864e-05 0.0003124552 0.0014704433 0.0014066084 0.0015969933 0.0010851938 0.00015230791 7.6153956e-05 7.503405e-05 0.00012654996 0.0040104017 0.007323099 5.5995556e-06 4.4796443e-06 3.3597335e-06 2.127831e-05 2.911769e-05 5.4875643e-05 0.00018702516 0.00019934418 0.0001500681 9.07128e-05 0.0 3.8076978e-05 1.7918577e-05 5.3755735e-05 0.000995601 0.009045522 6.271502e-05 0.00011871058 9.407254e-05 0.00031805475 0.00015790747 0.00022398222 0.00032029458 0.00019486454 0.00012990969 7.951369e-05 1.9038489e-05 6.271502e-05 7.503405e-05 2.6877868e-05 0.00053867727 0.012936094 0.0002217424 0.0005129193 0.00010863138 0.0005633153 0.00032925387 0.00090040854 0.00058683346 0.00020494373 0.0003124552 9.5192445e-05 7.391413e-05 7.167431e-05 0.0003214145 4.815618e-05 0.0010616757 0.019821307 0.00024414062 0.0012128637 0.00017470613 0.0019251272 0.0005453967 0.0028624928 0.0017056246 0.0002307017 0.00028781715 0.00011535085 0.000114230934 0.00012431013 0.00023406143 0.000390849 0.0021211116 0.017673317 0.0002307017 0.0012543005 0.00036957068 0.0016809866 0.0012195832 0.0039006504 0.0022532612 0.00031581495 0.000352772 0.0002698986 0.00024302071 0.00017246632 0.00033597334 0.00025533975 0.0015824344 0.011479089 0.0006069918 0.0023495737 0.00063834933 0.0037405032 0.0009967209 0.0020460775 0.0011501487 0.00041660693 0.00226894 0.0018243352 0.00025757955 0.0005957927 0.00044572464 0.00020494373 0.007675871 0.01499785 0.00068090594 0.004260142 0.0006842657 0.0034605253 0.0048077786 0.0045468393 0.002115512 0.0018534529 0.0048592943 0.0040641576 0.0022801391 0.0020505572 0.0019195277 0.00091160764 0.022195518 0.010614518 0.0010515966 0.004269101 0.010065761 0.003540039 0.0038368155 0.0021020733 0.0014637238 0.0028804115 0.005017202 0.0049332087 0.002872572 0.0019699237 0.0024895624 0.0020975936 0.023364706 0.008761065 0.0005341976 0.0022756595 0.0017761791 0.0036565098 0.0030607171 0.0015701154 0.0025287594 0.0036441907 0.002747142 0.0027583411 0.002683307 0.0036509102 0.0017862582 0.0028266557 0.019960176 0.0537031 0.008270544 0.015725791 0.007674751 0.014986651 0.013051445 0.009646914 0.011978569 0.023760034 0.0040675174 0.003933128 0.0052770213 0.015852341 0.0042803003 0.011034484 0.028408786 0.027631568 0.006025122 0.005054159 0.005378933 0.010242707 0.0099582495 0.004611794 0.008417252 0.018754032 0.0015913937 0.0018444937 0.0023126164 0.01045325 0.003365333 0.007880814 0.014092961 0.02266588 0.009534923 0.006591797 0.005785461 0.0072021484 0.009809301 0.009605478 0.0061337533 0.013010007 0.005086636 0.008411652 0.004804419 0.009652514 0.004851455 0.009410613 0.011939373 1296.0 11.031636 14297.0 0.056655243 0.0019584529 0.003567182 0.002727845 0.008813038 0.0023081766 0.0016087291 0.004336574 0.0055256346 0.0016786739 0.0014688396 0.0023781213 0.00545569 0.0024480661 0.005735469 0.0028677345 0.012799888 0.0107015455 0.01091138 0.01091138 0.012799888 0.009932154 0.00958243 0.008882983 0.012310275 0.011121214 0.010631601 0.010072043 0.013009722 0.00811359 0.0067846403 0.014828285 0.015387843 0.007344198 0.0034272925 0.008253479 0.009862209 0.0055256346 0.0053857453 0.0066447505 0.007833811 0.004406519 0.0026579003 0.0018185633 0.007623977 0.0039169057 0.0038469608 0.003497237 0.018045744 0.0038469608 0.0042666295 0.012030496 0.008952927 0.004196685 0.008673148 0.011890606 0.0048961323 0.003287403 0.0018885081 0.0033573478 0.004616353 0.0038469608 0.002727845 0.012450164 0.0067846403 0.031125411 0.008603203 0.023081765 0.02357138 0.05644541 0.009022872 0.007134364 0.011820662 0.02476044 0.008882983 0.004196685 0.027068615 0.010351822 0.026509058 0.039239 0.014338672 0.003567182 0.037840106 0.03007624 0.047282647 0.015807511 0.008043646 0.0038469608 0.007623977 0.007903756 0.002727845 0.002727845 0.0038469608 0.0020283975 0.0016786739 0.002727845 6.010062 1.0 0.0 0.0 3.0 448000.0 503808.0 1.0 0.0 71.0 1.0 1.0 0.0 0.0 0.0 1446909800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 194048.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -194048.0 0.0 171520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5846796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2483864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.199176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8869605 0.0 4.7400804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64246.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193810.0 0.0 171136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 263276.0 171136.0 319488.0 0.0 0.0 0.0 0.0 8212.0 491520.0 56.0 201120.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 254032.0 0.0 0.0 292.0 200704.0 0.0 0.0 0.0 0.0