Input: 0.12346384 0.010150647 0.010987254 0.023701973 0.022399949 0.002686852 0.003494906 0.0019958655 0.011518342 0.0013163005 0.0013048792 0.001647517 0.007261067 0.0022642652 0.0013077345 0.005702065 0.036154006 0.0012991686 0.00081662025 0.0008080543 0.0030095025 0.0071468544 0.0008308968 0.00059676095 0.0033350084 0.0012449175 0.00066243316 0.00077379047 0.0021928824 0.0008451734 0.0007252501 0.0007281054 0.004171616 0.0004939696 0.001222075 0.00047112704 0.012186486 0.0049825255 0.0004654164 0.00035976974 0.0016218192 0.0004597058 0.00056535244 0.0011478368 0.0016161086 0.0006709991 0.0011021518 0.0006310247 0.0059590433 0.004271552 0.003574855 0.008657317 0.004265841 0.0032636255 0.0030294897 0.00266972 0.004197314 0.002849605 0.0035634337 0.0042744074 0.0030751748 0.0025612179 0.002978094 0.007186829 0.020115698 0.007569441 0.003957467 0.0021843163 0.0068984423 0.013819727 0.002949541 0.001484764 0.0027468135 0.0015418703 0.0012791813 0.0008623053 0.0035491572 0.007803577 0.0018159806 0.001593266 0.010610352 0.0083261 0.0013077345 0.004011718 0.0034178125 0.0031065831 0.0070183654 0.0037090548 0.0036662251 0.0018445338 0.003257915 0.0015989767 0.001276326 0.0020672483 0.004065969 0.0034263786 0.0011935219 0.0071097356 0.0022442779 0.0046084793 0.007769313 0.013819727 0.0019244826 0.0025240988 0.0049739596 0.0076379688 0.0073981225 0.000805199 0.005293755 0.0026640093 0.006535817 0.006632898 0.0037547399 0.00079948833 0.006627187 0.0048626023 0.020332702 0.007943488 0.0028410389 0.0013163005 0.0026183242 0.001710334 0.0009022797 0.0004111654 0.0015704235 0.0010564667 0.0012420622 0.0007395267 0.0018673763 0.00061960344 0.00049968023 0.010119238 0.00266972 0.004145918 0.000642446 0.00037404633 0.0017331765 0.0071725524 0.0011107177 0.03469494 0.00095082005 0.009528188 0.00041687605 0.00030551874 0.0012820367 0.00031694002 0.00041973137 0.00093654345 0.001067888 0.00069098634 0.0003911782 0.00021129334 0.000905135 0.0002769656 0.00036262505 0.0002398465 0.0009451094 0.00023413586 0.00041973137 0.0002598337 0.0012306409 0.0020301293 0.000688131 0.0010992965 0.0029523962 0.00052823336 0.0006310247 0.00031979533 0.0013419982 0.00031694002 0.00037404633 0.00029980813 0.0009822286 0.0003283613 0.0004597058 0.00035976974 0.0012991686 0.00032550597 0.0003512038 0.00030266345 0.0009936498 0.00032550597 0.0005853397 0.00041687605 0.0021843163 0.0006281694 0.0013962493 0.0012706154 0.0017817168 0.0008765818 0.000688131 0.00051395677 0.0055079036 0.0029923706 0.0042858287 0.0056106946 0.004965394 0.0013020239 0.003997442 0.006535817 0.003320732 0.0012477728 0.0012906026 0.0010878752 0.059758898 0.0004111654 0.0025497966 0.0012734707 0.0013819727 0.0004654164 0.0008651606 0.00065101194 0.0009993605 0.00036548037 0.001610398 0.00087087124 0.0015504363 0.00046827173 0.0004225867 0.0006824204 0.0012991686 0.00031122938 0.0005168121 0.00029124218 0.0021214993 0.0012934579 0.0005767737 0.00033692722 0.001756019 0.0010992965 0.0005482206 0.0002940975 0.009262644 0.0021786056 0.0004454292 0.0019216273 0.004208735 0.00043115264 0.00091370096 0.000750948 0.0047198366 0.0015618575 0.0011335602 0.00059961627 0.0025355201 0.0002769656 0.0017531636 0.0009993605 0.0020215632 0.0010735986 0.00044828453 0.00037975697 0.0040145735 0.0006281694 0.0012791813 0.040188566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002192254 8.591459e-06 9.021032e-05 5.87083e-05 0.000121712335 5.7276393e-05 0.0002334013 0.00015607817 8.591459e-06 0.0 4.2957295e-06 0.0 0.0 0.0 1.4319098e-06 0.0 0.018570438 0.0018872571 0.00081046094 8.0186954e-05 0.00020333119 0.00023626511 0.0006916124 0.000333635 0.00012028043 0.00041811768 6.443594e-05 7.016358e-05 7.732313e-05 0.00016323772 0.00019187592 0.0024743401 0.01900001 0.0022495303 0.00056130864 0.000114552786 0.00028208623 0.00024485658 0.0012171234 0.00057849154 0.000121712335 0.00042670913 0.00012457615 0.00013459953 0.00017326108 0.00019330783 0.0003049968 0.0035983894 0.016316613 0.0025788697 0.00035940937 0.0002906777 0.0005985383 0.0004668026 0.0007016358 0.0002792224 0.00016896536 0.00016610154 0.0011326406 0.0006887486 0.00026776714 8.448268e-05 0.0007646399 0.0015278478 0.010985612 0.0016610154 0.00069877197 0.0033291904 0.025128586 0.01490475 0.03147338 0.017224444 0.00024485658 0.00029497343 0.00030356488 0.00043100485 0.0004209815 0.00029497343 0.0002620395 0.0008462587 0.012112525 0.0012113957 0.0011498235 0.0027406754 0.010122171 0.0068860543 0.014622663 0.007622056 0.00079327804 0.00032361163 0.0005197833 0.0007116592 0.0015063691 0.00031358824 0.00027349478 0.0006744295 0.02282321 0.006845961 0.0053453194 0.035718992 0.0054570083 0.00444608 0.010467261 0.006596809 0.0036599615 0.0028724112 0.0030027148 0.0038002888 0.005432666 0.0025502313 0.0026805352 0.004400259 0.027267858 0.008131816 0.004861334 0.0038947947 0.006161508 0.006001134 0.007133775 0.0063104266 0.011072959 0.0006901805 0.0011054344 0.0025330484 0.022243287 0.0012128276 0.0027979517 0.0058837174 0.08034589 0.027226333 0.013335376 0.013590256 0.023971602 0.023471866 0.0111560095 0.015320003 0.048094988 0.0023755385 0.004831264 0.003446607 0.06296537 0.0049157464 0.014405013 0.031779807 0.021013277 0.009314573 0.0049143145 0.0066011045 0.008262119 0.0060741613 0.005491374 0.0043243677 0.0126953125 0.0013445633 0.002793656 0.0020920204 0.013292419 0.0030098744 0.006479392 0.012532075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2420.0 28.40248 68734.0 0.0118427565 0.00062560017 0.0006546978 0.00039281868 0.0044810427 0.00072744203 0.0008874793 0.0003200745 0.0020804843 0.00072744203 0.0005383071 0.00048011175 0.0025024007 0.0016003725 0.0037536009 0.0014548841 0.01092618 0.007739983 0.00577589 0.005208485 0.0076090437 0.0057613407 0.0052375826 0.004466494 0.007085285 0.004830215 0.008612914 0.005935927 0.0052375826 0.0044810427 0.0050338986 0.025824191 0.088747926 0.02797742 0.013239445 0.007056188 0.0064160386 0.022652544 0.0037826984 0.0017167631 0.006721564 0.0035062705 0.0007128932 0.0009311258 0.006008671 0.010722496 0.003084354 0.0037536009 0.013224896 0.031920157 0.0032880378 0.012235574 0.0073617133 0.006212355 0.014752524 0.006692467 0.013850496 0.0006546978 0.014970757 0.00037826985 0.001818605 0.0004655629 0.00055285596 0.006197806 0.0017022144 0.035062704 0.010140542 0.021765064 0.024558444 0.06792854 0.0032734892 0.012031891 0.009733174 0.037928827 0.003651759 0.002837024 0.023496378 0.012613845 0.03047982 0.032385718 0.009514942 0.0012366514 0.02835569 0.021823261 0.06565892 0.0151162455 0.011406291 0.0032298425 0.0075217504 0.006095964 0.0023132656 0.0005674048 0.0016731167 0.0007565397 0.0004946606 0.00020368377 5.633263 0.0 19.0 0.0 4.0 350224.0 364544.0 1.0 24.0 1040.0 1.0 1.0 1.0 1.0 0.0 1541647400.0 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 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 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 14.0 0.0 6.0 0.0 6.0 0.0 204288.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 109568.0 0.0 0.0 0.0 0.0 0.0 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 -204800.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.659429 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7040043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.662308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.085534 0.0 4.8807063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -22076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 109356.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -204009.0 0.0 436.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 3.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -2.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 2.0 1.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 -4.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 1.0 -2.0 2.0 -1.0 -1.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 -2.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 2.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 -2.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 2.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 4.0 -2.0 1.0 1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 1.0 1.0 1.0 1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 -1.0 -2.0 1.0 2.0 1.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 2.0 1.0 -1.0 3.0 1.0 -1.0 -2.0 0.0 3.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 1.0 1.0 -1.0 -1.0 2.0 -2.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 3.0 -1.0 0.0 -1.0 2.0 -1.0 2.0 1.0 -1.0 1.0 -2.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 1.0 -3.0 0.0 -1.0 1.0 2.0 1.0 1.0 0.0 -3.0 1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -3.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 -4.0 2.0 -1.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 1.0 1.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 1.0 -1.0 2.0 1.0 0.0 1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -2.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 2.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -3.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 -2.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 2.0 -1.0 -1.0 3.0 -1.0 0.0 0.0 -2.0 1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 2.0 -3.0 0.0 0.0 1.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 2.0 1.0 -2.0 -2.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 -2.0 -1.0 -1.0 1.0 0.0 -1.0 2.0 1.0 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 2.0 -1.0 -1.0 -2.0 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 1.0 0.0 1.0 0.0 -1.0 2.0 0.0 -1.0 2.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2504.0 264080.0 420.0 266584.0 436.0 335872.0 0.0 0.0 7184.0 343040.0 22076.0 339968.0 84.0 238432.0 0.0 0.0 0.0 0.0 24.0 238612.0 64.0 238520.0 0.0 0.0 4240.0 208896.0 0.0 0.0 0.0 0.0


Input: 0.13710833 0.009118316 0.005084264 0.0055043492 0.007339132 0.004194672 0.0049854205 0.0044108927 0.0075985966 0.0037251655 0.003249481 0.0030147277 0.0049483543 0.0031691708 0.00265642 0.0071414453 0.0052510626 0.002983839 0.002038648 0.0029035287 0.0047630225 0.0035645447 0.0029158841 0.002322823 0.0034409903 0.002298112 0.0019954038 0.002477266 0.00265642 0.00252051 0.0021930907 0.0026873085 0.0076603736 0.0022610459 0.0028602846 0.0027367303 0.004052585 0.0021436692 0.002075714 0.002477266 0.0027985075 0.0019830484 0.0021807353 0.0031135713 0.0022672236 0.0057205693 0.0029220618 0.0024401997 0.0068449145 0.004108184 0.003694277 0.007845705 0.0033297914 0.0029467728 0.0026378867 0.0026440644 0.0032865475 0.0029776613 0.0027490857 0.004108184 0.0031815262 0.0035089452 0.003051794 0.0043491153 0.009952308 0.0059985667 0.0021807353 0.0026193536 0.0030703272 0.006573095 0.0029035287 0.0027552634 0.003095038 0.002409311 0.0021374912 0.001964515 0.00287264 0.0036572106 0.002563754 0.0022610459 0.004818622 0.0027058416 0.002057181 0.003824009 0.0029220618 0.004775378 0.0037251655 0.0035151232 0.0024587328 0.004380004 0.0022054464 0.0024216664 0.002211624 0.0041328953 0.0035089452 0.002983839 0.0026625977 0.0045468025 0.0024587328 0.003941386 0.0035336562 0.0064742514 0.007234111 0.0023475338 0.0038796086 0.0044788476 0.003873431 0.0023104674 0.0039722743 0.003051794 0.0041699614 0.0048495107 0.003694277 0.0020262925 0.00531284 0.0047939112 0.010044973 0.0075553525 0.0029282395 0.0037684096 0.002650242 0.002786152 0.0025266877 0.0021560246 0.0022548682 0.0025328654 0.0022610459 0.0034965898 0.0043244045 0.0038363645 0.0025513987 0.007932194 0.0028355739 0.0051398636 0.0028046852 0.002539043 0.0032865475 0.0052448846 0.0025081546 0.014820352 0.0022857566 0.0052757734 0.0020695364 0.0020448256 0.0021930907 0.0016494514 0.0018100721 0.0017791835 0.001964515 0.0020942474 0.0020015815 0.001723584 0.0021251359 0.004040229 0.0018286053 0.001989226 0.0019089157 0.0020201146 0.0018409608 0.0018100721 0.0023537115 0.0022857566 0.002057181 0.0020510033 0.0019398043 0.0019954038 0.0019583374 0.0018656716 0.0022054464 0.0020633587 0.0019089157 0.0019398043 0.002100425 0.0016309182 0.0017297618 0.0021127805 0.002279579 0.0016988732 0.0018038944 0.001902738 0.0021189582 0.0020077592 0.0020201146 0.002100425 0.0032124147 0.0020510033 0.0020201146 0.0017112286 0.0019212711 0.001970693 0.0019212711 0.0028664623 0.006671938 0.0039969855 0.003051794 0.005201641 0.0030394385 0.0026811308 0.003335969 0.0035645447 0.0030270831 0.0030394385 0.0018842048 0.001964515 0.0058935457 0.0024896215 0.002279579 0.0021560246 0.0027367303 0.0023537115 0.002563754 0.0022425125 0.002038648 0.0016988732 0.0022857566 0.0023784225 0.0033545024 0.003453346 0.0021745577 0.0025143323 0.0023166453 0.0031073934 0.00216838 0.0021189582 0.0043552932 0.0021930907 0.0017730058 0.0017791835 0.0028293962 0.003694277 0.0036880993 0.00455298 0.008790896 0.002786152 0.0022363348 0.004515914 0.0046085794 0.0021127805 0.002279579 0.002100425 0.0036757437 0.002211624 0.0020015815 0.0025328654 0.0027305526 0.0023042897 0.0038116537 0.0039228527 0.0045035584 0.00287264 0.0026069982 0.0029467728 0.004843333 0.0032741919 0.0046950676 0.029449195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054550655 3.732086e-05 6.842158e-05 0.00012440287 0.00021770502 8.0861864e-05 8.0861864e-05 9.019208e-05 7.153165e-05 1.866043e-05 2.7990645e-05 1.866043e-05 6.2201434e-06 2.4880574e-05 1.5550359e-05 3.1100717e-05 0.0050507565 0.00017105394 0.00022392516 7.775179e-05 0.0002736863 8.708201e-05 0.000102632366 0.00011196258 2.7990645e-05 9.330215e-06 4.6651076e-05 1.5550359e-05 1.5550359e-05 4.3541004e-05 1.866043e-05 9.330215e-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 0.011656549 0.00017727408 0.0012844596 0.00018038416 0.00081794884 0.00028923666 0.0027026522 0.0015581459 8.0861864e-05 2.4880574e-05 2.7990645e-05 1.866043e-05 6.842158e-05 4.0430932e-05 7.464172e-05 0.00010574244 0.00737709 5.598129e-05 0.0007744078 0.00013062301 0.0008334992 0.00024569567 0.0014213028 0.0010760848 7.153165e-05 5.598129e-05 4.3541004e-05 4.9761147e-05 7.464172e-05 6.5311506e-05 6.842158e-05 0.0003949791 0.019409956 0.0006126841 0.0019126941 0.0017105395 0.0016141272 0.00068732584 0.0050631966 0.0027150926 0.00025502587 0.00012440287 0.0001866043 0.0003514381 0.0002425856 0.00026746615 0.0013373308 0.0017260897 0.034005523 0.0017945113 0.0023512142 0.001959345 0.0051005175 0.001822502 0.0071065137 0.0048081707 0.001346661 0.00084904954 0.00055359275 0.00089259056 0.0014430733 0.0015270452 0.003952901 0.0069199093 0.015534808 0.0015550358 0.0028519358 0.010135723 0.0019375746 0.0013964222 0.0047086487 0.0033650976 0.001694989 0.00086771 0.0009827827 0.0008708201 0.0018691531 0.0009050309 0.0010760848 0.0012035978 0.012670432 0.0019126941 0.000737087 0.0012751294 0.000780628 0.00061890425 0.0022641323 0.0021366193 0.0024351862 0.0013062301 0.0005069417 0.00092991145 0.001953125 0.00059091364 0.0031380623 0.0049605644 0.02041762 0.0038284983 0.002699542 0.00476463 0.0039373506 0.0041519455 0.0032251442 0.0045811357 0.008347432 0.0015146049 0.0010636445 0.0013995322 0.005616789 0.0022361416 0.0047024284 0.010316107 0.053278636 0.012057748 0.011631668 0.015136719 0.015945338 0.018336983 0.012263012 0.015152269 0.029959321 0.0032313645 0.004301229 0.0051782695 0.018604448 0.009448398 0.015276672 0.027713848 0.026827479 0.024849473 0.02514804 0.025819816 0.025701633 0.024942774 0.024921004 0.025263112 0.025440386 0.024833921 0.024522915 0.023966212 0.024532245 0.024414062 0.024827702 0.025263112 893.0 12.095184 10801.0 0.05295806 0.004166281 0.007406722 0.0053698733 0.0066660494 0.0020368483 0.003703361 0.0067586335 0.004629201 0.0023146004 0.0020368483 0.0033330247 0.005184705 0.009721322 0.0139801875 0.011017499 0.024534766 0.01685029 0.012961763 0.014072771 0.012035922 0.010647162 0.009073234 0.008332562 0.009350986 0.009258402 0.00944357 0.0062031294 0.011573003 0.009258402 0.011387834 0.00851773 0.005740209 0.00805481 0.0028701045 0.011665586 0.005832793 0.0063882973 0.0068512177 0.006295713 0.0062031294 0.0066660494 0.003703361 0.0026849366 0.0066660494 0.004721785 0.0043514487 0.0061105452 0.01083233 0.0032404407 0.005555041 0.012684011 0.009999074 0.004629201 0.004999537 0.006573465 0.0053698733 0.0037959449 0.004629201 0.0027775206 0.0043514487 0.004906953 0.0033330247 0.0061105452 0.008425145 0.028793631 0.0074993055 0.027034534 0.019257477 0.0469401 0.008147393 0.008610314 0.011295251 0.025923526 0.004906953 0.004444033 0.020368485 0.014906027 0.023608925 0.030460143 0.014165355 0.0034256089 0.034163505 0.026571615 0.0469401 0.013424683 0.007962226 0.011017499 0.0069438014 0.01083233 0.003703361 0.0032404407 0.0035181928 0.0025923525 0.0023146004 0.005184705 6.1278934 0.0 25.0 0.0 3.0 161872.0 172032.0 1.0 0.0 66.0 0.0 1.0 1.0 0.0 0.0 1525819600.0 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 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 14.0 0.0 5.0 1.0 5.0 1.0 43008.0 1024.0 4096.0 6.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -69120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.983682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.90103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0041993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.083395 0.0 5.2402782 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42803.0 0.0 12920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 69964.0 12920.0 86016.0 0.0 0.0 10320.0 86016.0 0.0 0.0 84.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 68184.0 0.0 0.0 272.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.2523326 0.02765462 0.00925108 0.0053233914 0.009647708 0.008708665 0.024981134 0.0033338193 0.00642323 0.0025234118 0.007829651 0.001985284 0.002223261 0.0047166576 0.0022532758 0.0027892597 0.0058357916 0.0036189626 0.004217121 0.002742093 0.0018780873 0.002812843 0.001753739 0.0013806943 0.0036468338 0.002486965 0.0013999897 0.0044207945 0.00509399 0.0020067233 0.0013828382 0.0014342926 0.008554301 0.0014493002 0.001920966 0.0020624658 0.008080492 0.0016122393 0.0016787013 0.0014407245 0.0054070046 0.0021932458 0.0025963057 0.0029693502 0.0028192748 0.0015200501 0.0044550975 0.001324952 0.0052933763 0.0014064215 0.0013442474 0.003248062 0.001288505 0.0010998388 0.0013613988 0.00085328624 0.02012512 0.0020217309 0.0010290889 0.0013999897 0.0009454754 0.0016765574 0.0010205131 0.0009433315 0.0035503567 0.004838862 0.0040177344 0.0034903265 0.020095104 0.0021889578 0.0016401105 0.001687277 0.022354813 0.0039534164 0.00073965767 0.0012906491 0.003610387 0.0023561849 0.001354967 0.0008854453 0.004693074 0.00082970294 0.0012477703 0.0037518868 0.0026992145 0.0013270959 0.0018480722 0.0015522091 0.0025812981 0.0011534372 0.0010741116 0.0018330646 0.0009368997 0.0010762555 0.00218467 0.0026906386 0.002716366 0.007874674 0.0020946248 0.003874091 0.00364469 0.012786429 0.0027978355 0.0023240258 0.0036253945 0.0072679403 0.0006088776 0.0012091795 0.0060802004 0.0028299945 0.0059751477 0.00907099 0.0061316546 0.0006774835 0.006856305 0.006991373 0.009965011 0.003674705 0.0010783995 0.0012391945 0.0033188118 0.003085123 0.0008468544 0.0021996775 0.00071821833 0.0013978458 0.0008575741 0.0006131655 0.0074737584 0.0018502161 0.0012391945 0.0028021233 0.0017644587 0.0022918668 0.0009947859 0.00053383986 0.0019831401 0.0042857267 0.0005917261 0.015539243 0.00094118755 0.0040949164 0.00061745336 0.00069034717 0.0038333563 0.0011298539 0.0013806943 0.0008489984 0.0013270959 0.0013120883 0.0007868242 0.00068177143 0.0018159131 0.0020067233 0.0005767186 0.000628173 0.0005767186 0.0005917261 0.00035374932 0.0004738097 0.0030422441 0.001689421 0.0022275487 0.0018416403 0.0021589429 0.0021310716 0.001687277 0.001687277 0.0025877298 0.0018116253 0.0034624555 0.0015650727 0.0016787013 0.001556497 0.0014921789 0.001556497 0.0020388823 0.0007010668 0.0007225062 0.0005767186 0.00076752884 0.000662476 0.0009712027 0.00045237032 0.0018780873 0.0006131655 0.0011984598 0.00056171103 0.0005402717 0.0006003019 0.0005552792 0.0005659989 0.0038590834 0.0006646199 0.0006882032 0.001953125 0.0016058075 0.00061102153 0.00062388513 0.0008983089 0.0026263206 0.0009904981 0.0006260291 0.0015972317 0.012844316 0.000859718 0.00080397574 0.0012220431 0.0035267735 0.0007053547 0.00079539994 0.0008833013 0.0005852943 0.0006088776 0.0012306188 0.0013292398 0.0023840559 0.0009819224 0.0007225062 0.0007010668 0.0007546652 0.00051883236 0.0005059687 0.0004073477 0.002120352 0.00070749864 0.0005724307 0.00057028676 0.00053169596 0.0004866733 0.00042878705 0.00033016602 0.010706812 0.0009840663 0.0004137795 0.0009090285 0.001955269 0.003839788 0.00056814286 0.00052097626 0.0027978355 0.0007010668 0.0008254151 0.0009347558 0.0010290889 0.00061959727 0.00065818813 0.00046523396 0.002150367 0.0008768695 0.0007911121 0.003543925 0.006052329 0.0017794663 0.0016293908 0.041588057 0.008700871 0.0 4.3020373e-06 0.0 0.0 0.0 0.0 5.3775468e-05 5.054894e-05 0.0 0.0 0.0 0.0 0.0 0.0 1.0755093e-06 0.006284201 4.839792e-05 3.9793846e-05 4.0869356e-05 3.334079e-05 6.4530564e-06 1.613264e-05 2.1510186e-05 1.0755093e-06 1.0755093e-06 1.0755093e-06 0.0 2.1510186e-06 3.2265282e-06 3.2265282e-06 0.000105399915 0.0102044325 6.237954e-05 0.000111852976 0.000108626446 0.00011615501 5.2699957e-05 4.1944866e-05 4.7322414e-05 5.2699957e-05 1.2906113e-05 2.0434678e-05 2.7963244e-05 9.679584e-06 1.5057131e-05 1.5057131e-05 0.00011400399 0.007778084 0.00012475908 5.5926488e-05 8.06632e-05 0.000108626446 4.3020373e-05 4.0869356e-05 1.9359168e-05 4.3020373e-05 2.9038752e-05 3.8718335e-05 0.00025597122 4.4095883e-05 3.226528e-05 3.4416298e-05 8.173871e-05 0.007360786 0.00027640592 0.00019036516 0.00010217339 0.00011723052 4.7322414e-05 4.839792e-05 1.828366e-05 6.453056e-05 3.549181e-05 3.118977e-05 5.8077505e-05 5.054894e-05 2.9038752e-05 0.00014196723 0.00023876308 0.022831988 0.00076146063 0.0004484874 0.0007786688 0.0007797443 0.00023446104 0.00019144066 0.00016562844 0.00040008948 0.00018176108 0.00013443867 0.00037212623 0.00023123452 0.000106475425 0.0002527447 0.00076361164 0.018356794 0.0016487559 0.0007582341 0.001201344 0.0011110011 0.00020219576 7.313464e-05 0.00016670395 0.000580775 0.00025059367 0.00024414062 0.00016777946 0.00031727526 0.0002064978 9.249381e-05 0.0010539992 0.018153522 0.0006894015 0.0009883931 0.0010937931 0.0055711386 0.0034997074 0.021869408 0.0114531 0.0007700647 0.0001957427 0.000110777466 0.00013981621 0.00048720575 0.000106475425 0.00049043226 0.000460318 0.045886606 0.004720411 0.005660406 0.0017380231 0.0035104626 0.0022962126 0.010078598 0.0073166904 0.0020983187 0.00075608306 0.0012981398 0.0004226752 0.0010421686 0.00086793606 0.001663813 0.0053571123 0.08174947 0.009209586 0.01357723 0.01415693 0.014422581 0.0028307405 0.0075576045 0.006600401 0.0020509963 0.0015014111 0.0015594886 0.0013745009 0.0018993495 0.0016734926 0.003287832 0.008354557 0.043412935 0.0067509725 0.005515212 0.006444452 0.0064788684 0.0026694143 0.008883707 0.005228051 0.0030264833 0.0017530803 0.001953125 0.0009292401 0.0019972208 0.0016476803 0.0027629836 0.010678733 0.034134515 0.006541248 0.005527043 0.005096839 0.0060787788 0.004206317 0.0113283405 0.0067918417 0.0030458425 0.0030415405 0.018166428 0.002288684 0.0034588382 0.0025726184 0.0048892656 0.00838252 0.022312516 0.0039557233 0.00515169 0.003439479 0.007155364 0.002593053 0.0076554758 0.004562311 0.006057269 0.0015885273 0.0012368357 0.0011852114 0.0027866447 0.0016057355 0.0016433783 0.00636594 0.028868822 0.007286576 0.0070004906 0.0059809075 0.027188877 0.008130851 0.003386779 0.003424422 0.025277697 0.0036008053 0.001826215 0.0030705791 0.016328383 0.004951645 0.0075834165 0.020102346 0.012963114 0.0031619975 0.0039159297 0.003686846 0.0045762924 0.0035481055 0.002652206 0.0028898937 0.0035265952 0.004197713 0.0036180136 0.0022144737 0.003021106 0.0020542229 0.0020596003 0.0035878993 0.002634998 0.0009701094 0.0012475909 0.0011905888 0.0009959217 0.0011583236 0.0011303603 0.0009969972 0.00074317696 0.0011938154 0.0011421909 0.00089267275 0.000857181 0.0007679137 0.0007464035 0.0009529013 2699.0 20.293812 54773.0 0.025852153 0.0001825717 0.003834006 0.00085808703 0.0017526883 0.00025560037 0.00096763 0.00025560037 0.0009128585 0.00025560037 0.00014605737 0.001497088 0.007083782 0.0007668012 0.022365034 0.0045460355 0.010771731 0.0033593194 0.0020265458 0.0046190643 0.0034688625 0.004107863 0.0038522629 0.0018439742 0.0019717745 0.0016979169 0.002336918 0.0005477151 0.0013145163 0.008946014 0.0014058021 0.00010954302 0.0003651434 0.015755938 0.007394154 0.018147627 0.01509868 0.0045642927 0.0042174063 0.006316981 0.00483815 0.013199935 3.6514342e-05 0.0026107754 0.0056232084 0.0051120077 0.0035784054 0.003085462 0.00858087 0.00082157267 0.0032497763 0.017654683 0.011428989 0.0047651217 0.009055557 0.0059335805 0.00082157267 0.0003103719 0.0012232304 0.0027750898 0.0018439742 0.003633177 0.0036149197 0.014824823 0.0003834006 0.05296405 0.010771731 0.02322312 0.022730177 0.0933124 0.009274643 0.013984992 0.01219579 0.047578186 0.00020082887 0.0048016356 0.038595658 0.01780074 0.042046264 0.051247876 0.02271192 0.0007850583 0.044510983 0.04425538 0.06495901 0.021379147 0.0049659503 0.0065725814 0.0041626347 0.017545141 0.0014423165 0.00040165774 0.00012780019 0.00045642926 0.00010954302 0.00010954302 5.4239616 0.0 34.0 0.0 1.0 466432.0 475136.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1380105700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -371712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4681287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.213172 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0425777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4372745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -371288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1164.0 86016.0 6264.0 91556.0 0.0 0.0 15136.0 458752.0 28.0 456992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 87184.0


Input: 0.12970492 0.015697608 0.008691044 0.00390625 0.008081146 0.0044144983 0.0052494775 0.0044290195 0.005162349 0.004378195 0.014826325 0.0034923907 0.0037828183 0.0040587243 0.005605251 0.004160374 0.0035504764 0.008531308 0.005532644 0.005300302 0.0036230832 0.0045669726 0.0047920537 0.0045451904 0.004632319 0.0036158224 0.0035867798 0.0045451904 0.0035649976 0.003042228 0.0036303438 0.0036811687 0.008037581 0.0041095493 0.0038481646 0.0030640103 0.0043128487 0.0041531133 0.0048719216 0.0028897538 0.005343866 0.0034778693 0.00316566 0.0028752324 0.0040078997 0.0027082365 0.0042765453 0.002628369 0.0033399165 0.00411681 0.002693715 0.0028461895 0.002439591 0.0024250697 0.002483155 0.004283806 0.0031511385 0.0027009759 0.0027227579 0.0030640103 0.0026646724 0.0030567495 0.002483155 0.0027590613 0.001974907 0.0034923907 0.003535955 0.003978857 0.0037610363 0.0040587243 0.003579519 0.0027009759 0.004000639 0.0036085618 0.0019168216 0.002650151 0.0032237454 0.0030349675 0.0030785317 0.0032455274 0.0027372793 0.002882493 0.003557737 0.0034488267 0.0032890916 0.002345202 0.002134642 0.002185467 0.0027009759 0.0024758945 0.0022362918 0.0025557622 0.002301638 0.0021927278 0.0022943774 0.00369569 0.002461373 0.0075511155 0.003790079 0.0051115244 0.0041748956 0.012096305 0.0029841426 0.0032890916 0.0027590613 0.006832307 0.0022217704 0.0033399165 0.005844854 0.0046105366 0.009322723 0.014702893 0.008821735 0.0028970144 0.0128078535 0.008095667 0.0097148 0.0048210965 0.00232342 0.0030349675 0.0034560873 0.0040514637 0.0023524628 0.005089742 0.0027372793 0.002882493 0.0027445399 0.0023161594 0.0030640103 0.0025848048 0.0029260572 0.0026138476 0.0027518007 0.0029187964 0.0034488267 0.002483155 0.0026574116 0.0037102115 0.0023161594 0.0029333178 0.0028316681 0.0032890916 0.0028098861 0.0022725952 0.0023597234 0.003746515 0.0021999883 0.0027953647 0.0026428904 0.002134642 0.0025920656 0.0027735827 0.003020446 0.0020184712 0.0025557622 0.0028970144 0.0030712709 0.0023742449 0.002468634 0.0024541125 0.002141903 0.0028244075 0.004044203 0.0027808433 0.0029333178 0.0024250697 0.0022362918 0.0020402533 0.002468634 0.0019603856 0.0026791939 0.0016336547 0.0022217704 0.002439591 0.0020983387 0.0023379414 0.0025920656 0.003042228 0.0016554368 0.0020402533 0.0022290312 0.0019894284 0.002120121 0.0025557622 0.003717472 0.005133306 0.0027009759 0.0019386036 0.0023306808 0.0022145098 0.0021782063 0.0023669843 0.0022072492 0.0027154973 0.0027735827 0.0037610363 0.0027445399 0.0028970144 0.0023379414 0.0024758945 0.0022362918 0.0027518007 0.0030494889 0.0019603856 0.0024105483 0.0026356296 0.0023306808 0.0024541125 0.0025557622 0.0030567495 0.0019894284 0.0018877789 0.002301638 0.001996689 0.0022217704 0.002439591 0.0029914035 0.0020620353 0.0020039498 0.0016772188 0.004930007 0.002279856 0.0024758945 0.0027518007 0.0029042752 0.0028534504 0.0027518007 0.002490416 0.0027445399 0.0031075743 0.0028026255 0.0027082365 0.0025412408 0.0026211082 0.0022145098 0.0021564243 0.002141903 0.0019676464 0.0021491635 0.0023887663 0.0025630228 0.002163685 0.0023742449 0.002512198 0.0022145098 0.0022217704 0.0020765567 0.0023161594 0.0023887663 0.0025848048 0.0021273815 0.002439591 0.002671933 0.0022072492 0.0025049374 0.003441566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012162976 0.0005837347 0.0012776081 0.0006424753 0.0038071251 0.0028525905 0.019990161 0.010885368 8.81109e-05 5.8740603e-05 6.975447e-05 3.6712874e-05 1.4685151e-05 6.608318e-05 2.5699013e-05 6.975447e-05 0.032065026 0.0012849506 0.0055987136 0.00081135455 0.0014795288 0.0009141506 0.010096041 0.0061457353 8.443961e-05 7.342575e-05 3.304159e-05 1.8356437e-05 0.0001762218 0.00019090695 0.0008076833 0.00037080006 0.055142738 0.009060738 0.0075665237 0.00208162 0.0039246064 0.0028525905 0.013646176 0.011061589 0.0022761982 0.0010242893 0.0007342575 0.00025699014 0.00084072485 0.0009655486 0.00075261394 0.0005947486 0.048027784 0.013242334 0.005782278 0.0025074894 0.0019237547 0.0015859962 0.0034253113 0.0059291297 0.002489133 0.0024414062 0.002591929 0.0019310972 0.0015235844 0.0017585468 0.0012776081 0.0013069784 0.022009369 0.0064394386 0.0032490895 0.0021660596 0.0011821546 0.0012519091 0.00524627 0.005106761 0.0010132754 0.0005323367 0.0009582061 0.0015859962 0.00052866543 0.00052866543 0.0004075129 0.00042586937 0.011990425 0.0005543644 0.0008076833 0.0010059328 0.00080034067 0.0007122298 0.00093250704 0.001123414 0.0011637982 0.0016998062 0.0018723566 0.001468515 0.0014538299 0.0019714814 0.0010426457 0.0014758576 0.003917264 0.00024597626 0.0005433506 0.00087376643 0.0003524436 0.00036345748 0.001391418 0.0010206179 0.00028636045 0.0009912476 0.0011454418 0.00078932685 0.0006498179 0.001237224 0.00055069313 0.00067918823 0.001608024 0.0005543644 0.0006571605 0.00054702186 0.0005837347 0.0004111842 0.0008150258 0.0005837347 0.0004185268 0.00025699014 0.00022761984 0.00016520794 0.00023496241 0.000117481206 0.0001468515 0.00019090695 0.033401374 0.03937823 0.03837964 0.036826685 0.03818139 0.032509252 0.03543894 0.036433857 0.038276844 0.03547198 0.032057684 0.0349837 0.03677896 0.03321414 0.035974946 0.034120947 1040.0 11.303846 11756.0 0.0088465465 0.006549847 0.0068900986 0.003487581 0.004848588 0.003487581 0.0023817625 0.0027220142 0.0023817625 0.005018714 0.0039979583 0.0019564477 0.007485539 0.003232392 0.0147158895 0.0026369514 0.006975162 0.009441987 0.004848588 0.004253147 0.003487581 0.002977203 0.0038278326 0.0073154136 0.003487581 0.0027220142 0.0036577068 0.006719973 0.0041680844 0.004508336 0.0040830215 0.002977203 0.00085062947 0.0099523645 0.011143246 0.013269819 0.007485539 0.010037428 0.008251105 0.005273903 0.004253147 0.010207553 0.003232392 0.0039128955 0.00808098 0.006209595 0.004763525 0.0074004764 0.0073154136 0.003487581 0.0108029945 0.015226267 0.009612113 0.0038278326 0.003487581 0.006719973 0.0022966994 0.0020415108 0.003147329 0.0014460701 0.002977203 0.0019564477 0.0030622662 0.018883973 0.0028921403 0.035301123 0.012504254 0.020585233 0.018883973 0.08744471 0.008421232 0.015906772 0.0056992173 0.03963933 0.0022966994 0.0074004764 0.029942157 0.022371555 0.043382104 0.04414767 0.012589316 0.0020415108 0.041085403 0.0404049 0.06609391 0.022626745 0.0054440284 0.006039469 0.008761483 0.014205512 0.003487581 0.0017012589 0.0057842806 0.0009356924 0.0022116366 0.0030622662 5.794582 1.0 0.0 0.0 3.0 137728.0 163840.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542207200.0 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 -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 135168.0 512.0 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 -135168.0 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 -7.4154716 0.0 4.2621775 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 -134976.0 0.0 1420.0 0.0 0.0 0.0 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 143064.0 1420.0 147456.0 0.0 0.0 0.0 0.0 12.0 155648.0 28.0 142752.0 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: 0.05686522 0.008312693 0.006177637 0.0056591975 0.0057537425 0.0049672523 0.004199463 0.005423354 0.0050493297 0.005634262 0.003745439 0.004462319 0.0049495897 0.0031740128 0.0043303715 0.0046420586 0.0050514075 0.0037610233 0.0049340054 0.004154788 0.0043584234 0.003171935 0.004109074 0.003843101 0.005082576 0.0033412848 0.0031605063 0.0029277802 0.004149593 0.0034399857 0.003790114 0.003790114 0.006173481 0.003815049 0.0034856999 0.0030192083 0.0048882915 0.0041672555 0.0038358283 0.003721543 0.004729331 0.0038981657 0.003334012 0.0030929742 0.004369852 0.0037163482 0.003722582 0.0035937512 0.005521016 0.0039553083 0.0031033638 0.0028924556 0.0036768678 0.0030701172 0.0026836253 0.002856092 0.004174528 0.003310116 0.003528297 0.0033485575 0.0039968663 0.0032238828 0.003503362 0.00345557 0.006603609 0.0039553083 0.0036166084 0.0032259605 0.0041506323 0.00321661 0.0035428423 0.0030670003 0.0050036157 0.0037745298 0.0037038808 0.0035854396 0.00413297 0.0031241428 0.0035511542 0.0034638818 0.0051677707 0.0036290758 0.0036571277 0.003334012 0.0039241393 0.0033766094 0.003361025 0.0035366088 0.0046462147 0.0036456992 0.0038077764 0.0035116738 0.004109074 0.003388038 0.0036903743 0.003790114 0.0059158197 0.003628037 0.0033423237 0.0029485591 0.004012451 0.0030514158 0.0032612851 0.0030316757 0.004968291 0.003167779 0.0032062205 0.003048299 0.0035812838 0.0028363517 0.0030908962 0.0031875193 0.0045090723 0.0032799863 0.0032238828 0.0031324546 0.0038960876 0.003338168 0.003290376 0.0036269978 0.0046243966 0.0032966097 0.0034753103 0.0031625843 0.004036347 0.003194792 0.0034680376 0.0033412848 0.008659705 0.0045963447 0.0040114117 0.003530375 0.00437193 0.003437908 0.0030181692 0.0033901157 0.004539202 0.0038295945 0.002953754 0.003193753 0.0037277767 0.0027999883 0.0028498583 0.002979728 0.0052456926 0.0031999866 0.0034888166 0.0030285588 0.0036581666 0.0031771297 0.0033049213 0.003265441 0.0045485524 0.0028353129 0.0030389484 0.0027002485 0.0035147907 0.0032290774 0.0029849226 0.0031542727 0.00500881 0.003404661 0.0032747916 0.0027927156 0.0037766076 0.0030160914 0.0030566107 0.0031864804 0.0041381647 0.0029921953 0.0031179092 0.0030140134 0.00364466 0.0028384298 0.0029153125 0.0030399873 0.0046711494 0.00311687 0.0038441399 0.002854014 0.0035625827 0.0031480389 0.0029911564 0.00311687 0.0042514107 0.0031459609 0.003331934 0.0031750517 0.003650894 0.0031833635 0.0033194667 0.0033527133 0.006725167 0.0040654377 0.003725699 0.0033360901 0.0041132295 0.0032540124 0.0033038824 0.0032290774 0.0043355664 0.0033277783 0.00311687 0.0030732339 0.00364466 0.0029859615 0.003072195 0.0027937547 0.0042514107 0.0032706358 0.0030867404 0.0029953122 0.0037142702 0.0030088187 0.0029340137 0.0029371306 0.0039760876 0.0031075196 0.0027293393 0.002635833 0.0035324527 0.0029433644 0.0035792058 0.002881027 0.0049495897 0.0032384282 0.0033911548 0.0029734941 0.003816088 0.0030680392 0.003193753 0.0028997282 0.004442579 0.005456601 0.0034680376 0.0031355715 0.0037859583 0.003069078 0.003242584 0.0031823243 0.004612968 0.003313233 0.0034223234 0.0030420653 0.003745439 0.0030815457 0.0033111551 0.003237389 0.0043594623 0.0030306368 0.0031833635 0.002859209 0.004014529 0.0030919353 0.004225437 0.0045298515 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0046011917 0.00029411397 0.00027225065 0.00027173007 0.0003008812 0.00024153784 0.00033315565 0.00030868954 0.0003326351 0.00035241622 0.00032951176 0.00035293677 0.00052315847 0.00015408448 0.00018479727 0.00074179185 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09934702 0.062010158 0.062447425 0.05530436 0.06059685 0.059552092 0.054935284 0.054441277 0.060470875 0.05313052 0.052088365 0.052915007 0.056396484 0.05050171 0.05660731 0.053818174 4012.0 5.7043867 22886.0 0.017128376 0.010443065 0.009350695 0.008607883 0.013414314 0.012453028 0.011753911 0.011491742 0.012584113 0.0097439485 0.008476798 0.008651577 0.0138949575 0.010530455 0.0118413 0.009918728 0.016822511 0.011884995 0.008738967 0.0075155115 0.009875033 0.008476798 0.0078213755 0.008345714 0.010268286 0.008433104 0.009569169 0.008826356 0.011535437 0.009001136 0.009656559 0.00921961 0.018045967 0.010967404 0.010355676 0.00913222 0.010836319 0.008913746 0.0107052345 0.008302019 0.014244516 0.011622827 0.009787643 0.009001136 0.011448047 0.00939439 0.011666521 0.009612864 0.01481255 0.009656559 0.009962423 0.009088526 0.012103469 0.009350695 0.009569169 0.009787643 0.013720178 0.00921961 0.010530455 0.009569169 0.011142183 0.009831338 0.01039937 0.0107052345 0.017958578 0.0110110985 0.009700254 0.008170934 0.013152146 0.008302019 0.00939439 0.008345714 0.015467972 0.009307 0.008913746 0.008695272 0.011360657 0.00795246 0.009918728 0.00786507 0.013195841 0.00795246 0.008695272 0.008738967 0.011448047 0.009438084 0.008170934 0.00786507 0.010923709 0.008870051 0.011884995 0.008564188 0.011229573 0.009044831 0.009962423 0.008738967 6.5544906 0.0 0.0 0.0 14.0 962504.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.23951639 0.010390075 0.008731294 0.007895026 0.008714789 0.007102773 0.0063050175 0.006161972 0.007765735 0.0059088906 0.0069954884 0.004932328 0.00668739 0.0067699165 0.0045582084 0.0059969192 0.0054329885 0.0034138425 0.0039832746 0.004159331 0.0043766503 0.0055457745 0.003628411 0.0036559198 0.0044701803 0.003768706 0.0032487896 0.003080986 0.0033670776 0.0030892387 0.0032597932 0.0030892387 0.012389964 0.002915933 0.0030149648 0.00268761 0.004475682 0.0027426276 0.002761884 0.0028856734 0.0039145024 0.0028196522 0.0032020246 0.0031332527 0.003235035 0.0024290273 0.0041290713 0.0024675396 0.0041455766 0.002503301 0.0025418133 0.0035706426 0.0027756381 0.0020851672 0.0022804798 0.0017908231 0.002274978 0.00243728 0.0019751322 0.0027041154 0.0021786971 0.0025198064 0.0018981074 0.0024207747 0.0037301937 0.004387654 0.0041730856 0.002621589 0.003215779 0.0047645248 0.0026711049 0.0021209286 0.0024757923 0.0030617297 0.0020163953 0.0015680018 0.0027701363 0.0028306558 0.0025198064 0.002184199 0.003559639 0.0021071744 0.0026545995 0.0027096171 0.0034330986 0.004478433 0.0025803258 0.0021731954 0.0015790053 0.0026380941 0.0013836927 0.0017660651 0.001587258 0.0024895465 0.0020191462 0.0019888864 0.0020659112 0.0047012544 0.0018018266 0.0027948944 0.004371149 0.0072485697 0.0031057438 0.0017743178 0.0028389085 0.0037384464 0.002759133 0.0017743178 0.0051138867 0.003009463 0.004269366 0.0040300395 0.0023052376 0.0016477773 0.0039447625 0.0038402288 0.0067891725 0.0050836266 0.0018485915 0.001700044 0.0018183319 0.0017413072 0.00131217 0.0013451804 0.0016230193 0.0017137984 0.001837588 0.0017220511 0.0032735476 0.0020026409 0.0017303037 0.0045582084 0.0021071744 0.003724692 0.0014112015 0.0012544014 0.001768816 0.003721941 0.0016835388 0.010051716 0.0014772227 0.003372579 0.001449714 0.0014689701 0.0021071744 0.0012323944 0.0013836927 0.0013259243 0.0013726893 0.0012709067 0.0014744719 0.0011828785 0.001243398 0.0013176716 0.0011361135 0.0012846611 0.0011113556 0.0011691242 0.0013836927 0.001287412 0.0018100792 0.0015817562 0.001449714 0.0014084507 0.0012461487 0.0034138425 0.001196633 0.0011608715 0.0014442122 0.0011058538 0.0013396787 0.0011223592 0.0012681558 0.0011911312 0.0013946963 0.001196633 0.0014634683 0.0010370818 0.0012544014 0.0012021346 0.0011306118 0.0013176716 0.0016147668 0.0016285211 0.0017082967 0.0011746258 0.0012103873 0.0011883803 0.001149868 0.0013616857 0.001449714 0.0012736575 0.0041015623 0.0021539393 0.0015267385 0.0026050836 0.0016505282 0.0012241417 0.0017082967 0.002230964 0.0018898548 0.0014799736 0.0012048855 0.001449714 0.0037026848 0.0013066682 0.0012929137 0.0015845071 0.0015817562 0.0013534331 0.0016037632 0.0015294894 0.0012241417 0.0011581206 0.0013616857 0.001518486 0.0016642825 0.001309419 0.0011938821 0.0015102333 0.0013534331 0.0011278609 0.001356184 0.0013011664 0.0021456867 0.0013479313 0.0012351453 0.0013891945 0.0015239876 0.0015102333 0.0012736575 0.0014056999 0.007174296 0.0018788512 0.0011883803 0.0023024867 0.002206206 0.0012929137 0.0012461487 0.0013259243 0.0023602552 0.001378191 0.0011691242 0.0014001981 0.0015459948 0.0012296435 0.0017193002 0.0014992298 0.002484045 0.001515735 0.0013671875 0.0023134903 0.0026821082 0.0018926057 0.01996864 0.073693335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026938228 2.3448534e-05 0.0 1.3793256e-06 0.0 0.0 0.0 2.7586511e-06 2.7586511e-06 0.0 0.0 0.0 4.1379767e-06 0.0 4.1379767e-06 9.241481e-05 0.0050276415 0.00017103637 6.0690323e-05 3.448314e-05 2.7586511e-06 1.3793256e-06 2.7586511e-06 1.3793256e-05 9.6552785e-06 5.5173023e-06 4.1379767e-06 6.896628e-06 1.10346045e-05 0.0 1.10346045e-05 0.0002868997 0.0073393914 0.00016551907 0.00013103592 4.1379768e-05 6.896628e-05 6.620763e-05 8.965616e-05 5.9310998e-05 4.1379768e-05 4.2759093e-05 1.6551907e-05 4.1379768e-05 1.241393e-05 1.3793256e-06 2.8965836e-05 0.00032827948 0.013844291 0.00032827948 0.000113104696 0.00019310557 0.00021655411 0.000102070095 0.00023034737 0.00017379502 9.379414e-05 4.1379768e-05 2.0689884e-05 3.0345162e-05 0.00010620807 1.6551907e-05 7.58629e-05 0.0013627737 0.025589248 0.0015020856 0.0008110434 0.00056828215 0.00046345338 0.00025655454 9.241481e-05 0.000113104696 0.000113104696 0.00012551862 0.000102070095 0.0001517258 0.00013655324 0.000113104696 0.00015310514 0.0036069364 0.036821097 0.003270381 0.0024607168 0.0016579493 0.000889665 0.00042345296 0.00036552126 0.00021655411 0.00016551907 0.00012551862 0.00013655324 0.00013241525 0.00018207097 0.00018620896 0.00019724356 0.00644145 0.054984055 0.0072166314 0.006566969 0.0039628022 0.0018703655 0.00041379768 0.0012510483 0.000652421 0.00012827727 0.00012827727 0.0001406912 0.00018207097 0.00022207142 0.00021655411 0.000296555 0.012162893 0.038702495 0.0040662517 0.003911767 0.0017820887 0.0023917505 0.0009793212 0.0030731373 0.0022000242 0.0005600062 0.00041793563 0.0004000044 0.00040138373 0.000533799 0.0004648327 0.00036827993 0.0075435317 0.020924369 0.0030910687 0.002554511 0.0013255319 0.0012207031 0.0009062169 0.0019641595 0.001364153 0.00053241965 0.0002579339 0.00030621028 0.000355866 0.0003944871 0.00034483138 0.00033793476 0.0064924853 0.019198833 0.0053573004 0.0067628333 0.0018814001 0.004371083 0.003000033 0.0076759467 0.004477291 0.00062345515 0.0003875905 0.00033517613 0.0003296588 0.00030483096 0.00019034692 0.00011448402 0.0071366304 0.021587824 0.0055531645 0.0036814199 0.0023751985 0.0027903756 0.0019517457 0.0024303717 0.0017131224 0.0011020812 0.0009282861 0.0007944915 0.00079173286 0.00095587265 0.0009034582 0.0012758762 0.013311871 0.02335336 0.0066166245 0.0045076357 0.0035890052 0.0033876237 0.0025131311 0.0024579582 0.002445544 0.0028083068 0.0016758805 0.0012731175 0.0012607035 0.0015558793 0.001304842 0.0016165696 0.018729862 0.011492541 0.0018689862 0.0030731373 0.001668984 0.003495211 0.0024262336 0.002779341 0.00224968 0.004947641 0.00080552616 0.0009820798 0.00092690677 0.0020689883 0.00097104517 0.0022124383 0.00605386 0.03188449 0.006041446 0.009452518 0.006434554 0.011058053 0.009769763 0.015996039 0.0100139035 0.014456712 0.0028648593 0.0038621116 0.0035821085 0.008306298 0.0038496978 0.0078966385 0.015547758 0.029968606 0.016313283 0.015186374 0.014633265 0.014961544 0.01638363 0.017067775 0.014647058 0.01957539 0.013513252 0.0150112 0.013013937 0.016358802 0.013637392 0.01593121 0.019334007 1498.0 14.17223 21230.0 0.123504475 0.0012717852 0.0014601978 0.0014601978 0.0024493642 0.0011304758 0.001507301 0.0072067827 0.0067357514 0.0047574188 0.0022138483 0.0011775789 0.010456901 0.0018841262 0.010174282 0.0012717852 0.0033443242 0.0029203957 0.0023080546 0.0021667453 0.0014601978 0.0010833726 0.0016015073 0.0009891663 0.00089495996 0.0019312294 0.001507301 0.0011775789 0.0022138483 0.006641545 0.002119642 0.0016957136 0.0063118227 0.011022138 0.004804522 0.010645313 0.0102213845 0.019029675 0.004663212 0.0058878944 0.0040037683 0.019547809 0.0021667453 0.0019312294 0.0149317 0.006406029 0.0154969385 0.0103155915 0.011257654 0.002402261 0.018087612 0.013612812 0.027649552 0.0073480923 0.0033914272 0.0052755536 0.0020254357 0.0031088083 0.0012717852 0.006877061 0.0017899199 0.006547339 0.0012717852 0.005087141 0.0031559113 0.043758832 0.0065002353 0.020631183 0.03419689 0.07333961 0.0058878944 0.010174282 0.005040038 0.026095148 0.0029203957 0.0029674987 0.019312294 0.016815826 0.033160623 0.03777673 0.010927932 0.0024964672 0.03325483 0.03688177 0.051530853 0.018794158 0.0044747996 0.0038624587 0.0034856335 0.007489402 0.0014130947 0.0014130947 0.0011304758 0.0010362695 0.001507301 0.0014601978 5.5108185 1.0 0.0 0.0 5.0 363520.0 446464.0 1.0 0.0 116.0 0.0 1.0 0.0 0.0 0.0 1320574500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 83968.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45568.0 0.0 0.0 0.0 0.0 0.0 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 -83968.0 0.0 228864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.296728 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6421258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9307675 0.0 6.007016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83966.0 0.0 228568.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -2.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 132380.0 228568.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 90896.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 130176.0 0.0 0.0 720.0 90112.0 0.0 0.0 0.0 0.0