Input: 0.17540215 0.010194772 0.0052622105 0.005005547 0.0069603254 0.0030361712 0.0034327225 0.0031748426 0.008205934 0.0028293808 0.0029437237 0.002378091 0.0049982485 0.002232121 0.0017929954 0.0045092497 0.006304678 0.0014609142 0.0014523993 0.0012334445 0.0025301427 0.0016847345 0.0013234593 0.0009658333 0.002153054 0.00088676636 0.0009123111 0.0009305573 0.0017443388 0.0008539232 0.00089406484 0.0008964977 0.0089418655 0.0007894532 0.0011896536 0.00071281905 0.0045943987 0.001648242 0.00076634134 0.00076147565 0.0019961367 0.0011130195 0.0011324822 0.0016993314 0.0022479345 0.0010886912 0.0014876752 0.0008721694 0.002926694 0.0009828631 0.0010217885 0.0077680247 0.0013745488 0.00078702037 0.0008794679 0.0007675577 0.0014742947 0.00073714735 0.0016555405 0.0024085012 0.0014341531 0.0014451008 0.0008879828 0.0008235128 0.008396911 0.005462919 0.002953455 0.0069469446 0.0048705246 0.018163506 0.003987408 0.0031164547 0.0034363717 0.0072048246 0.0012224969 0.0012395267 0.0026821946 0.003469215 0.002120211 0.002082502 0.00792251 0.0016032347 0.002569068 0.009795789 0.0063095437 0.008854283 0.004334086 0.0036151847 0.0015643095 0.0047233384 0.0024145835 0.003982542 0.0014037427 0.0029364254 0.003442454 0.0024717548 0.0012224969 0.0062742676 0.0016494584 0.003575043 0.008021039 0.011346717 0.0032624244 0.0028293808 0.0056843064 0.0068204375 0.0039715944 0.0012456088 0.0051563825 0.0026092096 0.007446891 0.0074943313 0.0035057075 0.0008040502 0.006929915 0.0055322545 0.014407217 0.0073836376 0.001299131 0.0017443388 0.0023063223 0.0016823016 0.0009840796 0.0009694826 0.0019523457 0.0018319207 0.0010777435 0.0011020718 0.0060832906 0.0015886377 0.00091839314 0.0068690944 0.0032539095 0.0045603393 0.0008636545 0.0008332441 0.0018550325 0.009784841 0.0023805238 0.047752794 0.0008636545 0.008377449 0.0005814463 0.00069335644 0.0023160537 0.00057901343 0.0006580804 0.0007651249 0.0010144899 0.0013538697 0.0005498195 0.0005656329 0.00080161734 0.0006507819 0.0005753642 0.00091960956 0.00082716206 0.0006495655 0.0006410506 0.0005413046 0.0011239672 0.0018744952 0.0005850955 0.0007991845 0.001091124 0.00082716206 0.0010728778 0.00065321475 0.0009037962 0.0005364389 0.00059725967 0.0005327897 0.0008575724 0.00062402076 0.0006495655 0.0008648709 0.0020545246 0.0009305573 0.0021834646 0.0016226973 0.0011762731 0.00070916984 0.000970699 0.0011422135 0.0033767675 0.0020107336 0.0036443786 0.001170191 0.0011920865 0.0007955353 0.0009694826 0.00094272144 0.009764162 0.0017285254 0.0018307043 0.01059254 0.002926694 0.0009293409 0.0045883167 0.002536225 0.0015716079 0.0018148909 0.00096826616 0.0009256917 0.0018088088 0.00069578923 0.0010303033 0.0009865124 0.0019900545 0.0009147439 0.0023732253 0.0016883838 0.0015667422 0.0008125651 0.0022686135 0.0013769815 0.0039837584 0.0011543776 0.0012833176 0.0027782915 0.0017650179 0.0008794679 0.0009609677 0.0011215344 0.0020593903 0.00070552056 0.0006544312 0.0006738938 0.0017017643 0.0011531612 0.0005948268 0.0006665953 0.02535495 0.004379093 0.0011835716 0.004987301 0.003539767 0.000671461 0.0008004009 0.00084297545 0.004789025 0.00080648303 0.0014730783 0.0009123111 0.0032356633 0.0006386178 0.0024145835 0.002354979 0.007079534 0.0027296348 0.0032977005 0.0051503 0.010734861 0.0041686534 0.013274735 0.061779276 0.003699599 0.0 0.0 0.0 0.0 2.0726045e-05 7.315075e-06 5.4863062e-06 7.315075e-06 4.8767165e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0022902281 6.7054852e-06 3.047948e-06 1.2191791e-06 6.0958956e-07 0.000107287764 0.0 0.0 6.0958956e-07 0.0 0.0 0.0 6.0958956e-07 0.0 6.0958956e-07 8.595213e-05 0.0011563915 4.8767165e-06 1.2191791e-06 4.8767165e-06 1.2191791e-06 0.0 0.0 8.534254e-06 4.267127e-06 0.0 0.0 0.0 9.753433e-06 0.0 3.6575375e-06 5.3643882e-05 0.0032814208 2.92603e-05 6.217814e-05 1.7068509e-05 1.7068509e-05 6.461649e-05 5.730142e-05 4.328086e-05 6.644527e-05 2.4383584e-05 1.463015e-05 1.523974e-05 1.09726125e-05 1.09726125e-05 1.2191792e-05 1.8287687e-05 0.0019067962 2.0116457e-05 8.534254e-06 1.6458918e-05 1.2191792e-05 0.00020604128 7.315075e-06 1.1582202e-05 1.2801381e-05 6.0958956e-07 0.0 0.0 6.7054852e-06 0.0 5.4863062e-06 0.00028223998 0.0027291325 4.206168e-05 2.6212352e-05 3.047948e-05 0.00011582202 6.888362e-05 9.814392e-05 6.888362e-05 3.047948e-05 1.09726125e-05 1.6458918e-05 1.523974e-05 2.0726045e-05 6.095896e-06 4.8767168e-05 0.00041695926 0.005602738 9.692474e-05 9.082885e-05 7.0102804e-05 0.00011582202 0.00037855512 0.00036148663 0.00021457553 0.00011521243 7.132198e-05 2.9869889e-05 2.804112e-05 3.169866e-05 4.6938396e-05 3.7184964e-05 0.00019933579 0.020084757 0.00050413056 0.0014843507 0.00020908922 0.00088390487 0.0010448365 0.006083704 0.002871167 0.00013532888 0.00012679464 0.0001231371 0.00016276042 7.071239e-05 0.00014325355 0.00017068507 0.00085769256 0.012310661 0.00045963054 0.0005736238 0.00043097982 0.0014691108 0.001125912 0.0046755522 0.0024011733 0.00020543169 0.00013106175 9.997269e-05 0.0005730142 0.00032613042 8.473295e-05 0.00015361658 0.0024450638 0.013356107 0.0006504321 0.0017355016 0.0009911926 0.0026309886 0.0026547627 0.011388962 0.005172977 0.00023591117 0.00017129467 0.00019750702 0.0006455554 0.0005333909 0.00047426068 0.00017678097 0.0026797557 0.017281864 0.0010954324 0.0017672002 0.0012423436 0.0022938857 0.0033228728 0.0062019643 0.0032686193 0.000877809 0.0003218633 0.00028711668 0.0011533435 0.0016757618 0.0013033025 0.00027614407 0.0075680544 0.02186293 0.0016867344 0.0016477206 0.00089243916 0.00513884 0.0038014005 0.00605932 0.0033679823 0.0019177689 0.0006248293 0.0005083977 0.0012722134 0.0015904192 0.0020390772 0.0009046309 0.009107268 0.012716648 0.0010619051 0.0016769809 0.0009198707 0.005172977 0.0025852693 0.0042811474 0.002462742 0.0038330993 0.0005358292 0.00044134285 0.0007851514 0.0023316802 0.00096132274 0.0013471929 0.0050791004 0.05194191 0.006918232 0.006732917 0.0063415603 0.0231705 0.016780782 0.01191138 0.010330714 0.0328709 0.0033874894 0.0028705574 0.006161731 0.012240559 0.006931643 0.015896268 0.03395231 0.06889642 0.011314592 0.012772121 0.013496922 0.0338499 0.03335674 0.024935871 0.020424908 0.05461374 0.0053137923 0.0062806015 0.011276797 0.023410069 0.012080846 0.028192298 0.059260033 0.002979674 0.0022920568 0.002378009 0.002626112 0.0025395502 0.0024968788 0.002511509 0.0028211805 0.002460913 0.002654153 0.002682194 0.0028108174 0.0024816392 0.0028553177 0.0028035024 0.0030534342 6372.0 14.660233 93415.0 0.042905316 0.0006208853 0.002901033 0.0004924263 0.0018626559 0.0027404593 0.00028903282 0.00058877055 0.003168656 0.0028903282 0.00083498366 0.00043890168 0.0018198362 0.0021516888 0.0056629023 0.0020446396 0.002537066 0.0017341969 0.0022052133 0.0021516888 0.0024193118 0.00086709845 0.0012417706 0.000524541 0.0011668361 0.0006315902 0.007793181 0.004314082 0.0014237543 0.0012845902 0.0012417706 0.00048172136 0.0010811968 0.011068886 0.0075362627 0.015029706 0.011197345 0.014023444 0.008724509 0.006208853 0.004538886 0.01257828 0.000792164 0.0020874592 0.008349837 0.0069474922 0.009816411 0.009934165 0.010169673 0.0022801477 0.009195525 0.03469464 0.030487608 0.006562115 0.0042926725 0.008050099 0.0019375903 0.0060910988 0.0016592625 0.0048279185 0.0019268855 0.0046352297 0.0046673445 0.005224 0.0005566558 0.041845527 0.009013542 0.02376492 0.023015575 0.08254563 0.008917198 0.017598886 0.0128244925 0.046095382 0.001059787 0.0042819674 0.031493872 0.014312477 0.05190815 0.051126692 0.015971739 0.0005673607 0.047305036 0.034855217 0.062291924 0.017866509 0.0044104266 0.008167854 0.006294492 0.007172296 0.002248033 0.0004603115 0.000792164 0.00054595084 0.000396082 0.00024621314 5.492952 2.0 14.0 7.0 9.0 822088.0 884736.0 0.0 0.0 17.0 0.0 1.0 1.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 615936.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -615936.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 186880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6078362 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6005497 0.0 0.0 0.0 0.0 0.0 0.0 -5.0607247 5.813354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -35036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 5292.0 0.0 0.0 0.0 0.0 0.0 -4268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -615464.0 0.0 0.0 0.0 0.0 0.0 0.0 -9636.0 186508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9636.0 638976.0 186508.0 696320.0 0.0 0.0 3400.0 818688.0 0.0 659456.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 655360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06759413 0.0046620704 0.0039274413 0.004015738 0.003966292 0.0037273017 0.0036260549 0.0035848496 0.004026334 0.0035636586 0.0042300047 0.003630764 0.0036802103 0.0037496705 0.0035342262 0.0037214153 0.0037920529 0.0036248777 0.003468298 0.0034459294 0.0037225927 0.0036095728 0.0035142123 0.0034588797 0.0035507083 0.003464766 0.003508326 0.003566013 0.0034718297 0.0034553476 0.0035118577 0.0034812482 0.004684439 0.0034106106 0.0035071485 0.0035106803 0.003796762 0.0034741843 0.0034435748 0.0034859574 0.0036319413 0.0035283398 0.0033258458 0.003776748 0.0033729374 0.0036860968 0.0034800707 0.0039568734 0.0034129652 0.0035471765 0.0035848496 0.0035683676 0.0034730071 0.0033917741 0.0035801404 0.0035919135 0.0035730768 0.0035683676 0.003606041 0.0038273716 0.004448981 0.0035978 0.0045431643 0.003456525 0.0037108199 0.0039933696 0.0035565947 0.0036448915 0.0037002242 0.0054590963 0.003630764 0.003630764 0.0036825647 0.0035389354 0.0035707222 0.003642537 0.003577786 0.0037131743 0.0035848496 0.003545999 0.0036036863 0.0035424673 0.0035424673 0.0036743237 0.0036319413 0.0036178138 0.003650778 0.0036978696 0.003569545 0.0035565947 0.0035919135 0.0035448219 0.0035047939 0.0036684372 0.003566013 0.0035718994 0.0034883118 0.0045478735 0.0036237002 0.0038721086 0.004234714 0.0048280684 0.00372377 0.003845031 0.0040863752 0.0045125545 0.0037143517 0.0037061106 0.0043960027 0.0038061803 0.0041876226 0.004085198 0.0038885907 0.003524808 0.0044960724 0.0042723874 0.0051565324 0.0046090926 0.0037049332 0.0035554175 0.0036295867 0.0036554872 0.0035365808 0.003509503 0.003524808 0.0038485627 0.00366726 0.0035565947 0.0036707919 0.003642537 0.0034706525 0.004026334 0.0035883815 0.0038061803 0.0034388658 0.003420029 0.0036001545 0.0044266125 0.0036331187 0.00504469 0.0035047939 0.0038685766 0.0035271624 0.0034212063 0.003566013 0.0034941982 0.0034376883 0.0034730071 0.0034788935 0.0034059016 0.0035236306 0.0034753617 0.0034977302 0.003440043 0.0034223837 0.0033564554 0.0036237002 0.0034941982 0.0035766086 0.0034883118 0.0035236306 0.0036260549 0.0033081863 0.0034812482 0.0035565947 0.0034494612 0.0034259155 0.003456525 0.0034718297 0.0034270927 0.0033682282 0.0034694753 0.0035024392 0.0035554175 0.0034671207 0.0033611646 0.0034906664 0.0035153895 0.003606041 0.0036766783 0.0034730071 0.0033988378 0.0035872043 0.0035153895 0.0036978696 0.0034894892 0.0034871346 0.003508326 0.0035436444 0.0035354034 0.003403547 0.003493021 0.003776748 0.0034529932 0.0036131046 0.0036990468 0.00361075 0.003408256 0.003577786 0.0037225927 0.0037273017 0.0035601265 0.0034894892 0.0034612343 0.0036649054 0.00355424 0.0034671207 0.0034023696 0.0036554872 0.0035412898 0.0035200987 0.0034129652 0.003521276 0.003456525 0.0035754314 0.0034212063 0.0035306944 0.003508326 0.0035142123 0.0035930907 0.0035624811 0.0034541704 0.0033611646 0.0034471068 0.0036213456 0.0035401126 0.0034223837 0.0034883118 0.0037390748 0.0034094334 0.0035848496 0.0034494612 0.003939214 0.00355424 0.0034541704 0.0036448915 0.003732011 0.0033788239 0.0034788935 0.0034494612 0.0037873436 0.0035354034 0.003508326 0.0034471068 0.0035919135 0.0034070788 0.003403547 0.0035283398 0.0038238396 0.0034824254 0.0034529932 0.0034824254 0.0039250865 0.0034529932 0.003516567 0.0055450383 0.047074914 1.1794233e-06 1.9460485e-05 0.0 3.53827e-06 0.0 0.0 0.0 5.8971165e-07 0.0 0.0 1.1794233e-06 0.0 0.0 5.8971165e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022344175 3.243414e-05 3.479299e-05 1.1794233e-06 2.7716447e-05 4.717693e-06 1.769135e-06 1.0025098e-05 3.479299e-05 1.769135e-06 2.9485582e-06 4.1279814e-06 7.666252e-06 3.53827e-06 7.07654e-06 6.486828e-06 0.002145371 5.012549e-05 1.8281062e-05 1.1204522e-05 3.1254716e-05 8.8456745e-06 1.061481e-05 1.2973656e-05 1.4742792e-05 1.1204522e-05 1.23839445e-05 1.1794233e-05 1.5922215e-05 1.7101638e-05 1.2973656e-05 3.0665007e-05 0.0010390719 3.0665007e-05 4.717693e-06 4.717693e-06 4.9535778e-05 1.061481e-05 3.53827e-06 8.255963e-06 1.7691349e-05 4.717693e-06 4.1279814e-06 1.0025098e-05 2.3588466e-06 2.3588466e-06 1.1794233e-06 1.415308e-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 0.0008155712 0.0 0.00093941065 0.0010113554 7.0765396e-05 4.0690105e-05 0.003767078 0.0018092353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010066378 1.23839445e-05 0.0006327606 0.0010656089 0.000107917236 5.0715204e-05 0.00278108 0.0014984573 1.0025098e-05 7.666252e-06 8.8456745e-06 5.8971164e-06 1.415308e-05 1.415308e-05 8.8456745e-06 2.122962e-05 0.0010520456 4.4818087e-05 4.894607e-05 6.427857e-05 0.00018870772 0.00011381435 0.00055963633 0.0002736262 5.8971164e-06 5.307405e-06 5.307405e-06 6.486828e-06 1.1204522e-05 9.435386e-06 1.1204522e-05 1.4742792e-05 0.0024302017 0.00014919705 0.00018516945 0.0001261983 0.00052248454 0.00025180686 0.0010738649 0.00057850714 0.00016865753 4.658722e-05 3.597241e-05 5.8971167e-05 8.196992e-05 7.489338e-05 0.00011322464 0.00014094109 0.0014778174 8.904646e-05 0.00017986205 0.00017573408 0.000102020116 0.00010732752 0.00049830636 0.00029544553 0.00013504397 9.553329e-05 4.599751e-05 6.60477e-05 8.550819e-05 9.022588e-05 0.00010025098 7.902136e-05 0.0005260228 3.479299e-05 3.479299e-05 5.2484338e-05 8.0790494e-05 5.0715204e-05 3.7741545e-05 3.951068e-05 3.479299e-05 4.1869527e-05 4.7766644e-05 4.9535778e-05 4.245924e-05 3.892097e-05 4.245924e-05 5.3074047e-05 0.0053286343 0.0006852449 0.0007642663 0.0006038647 0.0026949823 0.0008285449 0.00061094126 0.0015615565 0.0034061745 0.00027185708 0.0003485196 0.0006079927 0.0011068888 0.00055314956 0.0011281184 0.0024461239 0.0025328116 0.0004599751 0.00038390228 0.0004310792 0.00093705184 0.00073654985 0.00028306158 0.00067875814 0.0014300508 9.966127e-05 0.00014742791 0.000288369 0.000672861 0.0002523966 0.0004929989 0.0010426102 0.05615647 0.05515101 0.054916307 0.05532852 0.055462383 0.055427 0.055126835 0.05546474 0.05493577 0.055231214 0.05489095 0.055410486 0.055246547 0.05509853 0.055067275 0.055143937 4146.0 8.390979 34789.0 0.033113915 0.006007646 0.006755009 0.0063525825 0.0069849663 0.0058639226 0.0058639226 0.006697519 0.0063525825 0.006036391 0.0060651354 0.0057489434 0.00511656 0.0073873927 0.006122625 0.018454108 0.005806433 0.0065537957 0.006122625 0.006122625 0.0057489434 0.005835178 0.0065537957 0.00664003 0.006438817 0.0063525825 0.0056914543 0.006122625 0.028917186 0.0059789014 0.030210698 0.0062376037 0.006697519 0.00767484 0.0062950933 0.008134755 0.006812498 0.0072724135 0.0063813273 0.007042456 0.007042456 0.007818563 0.006007646 0.0062376037 0.007243669 0.0071861795 0.0058926675 0.006841243 0.006841243 0.006122625 0.0070712008 0.008422202 0.006410072 0.0063525825 0.00712869 0.0073873927 0.006036391 0.005490241 0.0067837536 0.0057489434 0.005720199 0.00664003 0.0058926675 0.0074161375 0.0058639226 0.031532954 0.011555376 0.01583834 0.023426944 0.03581592 0.010463078 0.013739975 0.015205956 0.030756848 0.008565926 0.009457013 0.027997356 0.015435914 0.024864182 0.021213602 0.016671937 0.0074161375 0.026646353 0.021759752 0.034119982 0.015407169 0.009457013 0.008278479 0.008106011 0.011354163 0.0078760525 0.0058639226 0.0058926675 0.0058639226 0.006726264 0.006525051 6.2783394 0.0 10.0 0.0 10.0 849408.0 8335360.0 0.0 0.0 119.0 0.0 1.0 0.0 0.0 0.0 1431283700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 10.0 5.0 0.0 57856.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 750592.0 0.0 0.0 0.0 0.0 -57856.0 0.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4936213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7918039 0.0 0.0 0.0 7.999691 0.0 0.0 0.0 0.0 -3.9864285 0.0 4.329734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7482780.0 0.0 0.0 0.0 750560.0 0.0 0.0 0.0 0.0 -57492.0 0.0 23536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 67840.0 15344.0 8310784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 496.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.07139893 0.0044555664 0.0041870116 0.004211426 0.004333496 0.0037231445 0.003503418 0.003527832 0.00390625 0.0032958984 0.0040283203 0.0031982423 0.003479004 0.0037353516 0.0033569336 0.0046508787 0.0040771486 0.0031372071 0.003063965 0.0032592774 0.0036010742 0.0046508787 0.0029785156 0.0031860352 0.003076172 0.0037841797 0.003491211 0.0032958984 0.0033203126 0.003540039 0.0031860352 0.0031860352 0.005932617 0.0034057617 0.003979492 0.0032104491 0.003491211 0.0044189454 0.0032104491 0.0028564453 0.003442383 0.003161621 0.0030517578 0.0033813477 0.0030517578 0.0029663085 0.0036987304 0.0033081055 0.0048461915 0.005126953 0.003503418 0.003918457 0.0032470704 0.003491211 0.0031982423 0.0033081055 0.0035644532 0.003527832 0.0030151368 0.0033325194 0.0034057617 0.0032836914 0.0033081055 0.0037231445 0.01237793 0.004797363 0.0033569336 0.003869629 0.0056396485 0.005529785 0.0032348633 0.0041137696 0.0034545898 0.0041015623 0.0026000976 0.0032958984 0.0036987304 0.0048828125 0.003967285 0.0032714843 0.005529785 0.0040527345 0.0037597655 0.0037597655 0.004272461 0.0036743165 0.0038208007 0.0031860352 0.00423584 0.0033569336 0.0033935546 0.0036254884 0.0032592774 0.0036499023 0.003442383 0.004138184 0.003161621 0.005065918 0.003503418 0.0041137696 0.0045532226 0.0071411133 0.0038085938 0.003161621 0.0043823244 0.005725098 0.0037353516 0.0028808594 0.0045532226 0.0037597655 0.005493164 0.0046508787 0.0045532226 0.003100586 0.0051879883 0.0052612303 0.006164551 0.004370117 0.0036743165 0.003112793 0.003491211 0.0033203126 0.003491211 0.0033081055 0.0030273437 0.0033081055 0.0028564453 0.0028686523 0.005041504 0.0045043947 0.0029174804 0.0040649413 0.0029907227 0.0036621094 0.0029785156 0.003149414 0.003125 0.003979492 0.003442383 0.0056884764 0.00357666 0.005517578 0.0034179688 0.0031982423 0.0032714843 0.003112793 0.003100586 0.0028198243 0.0037475587 0.003479004 0.0030273437 0.0029541017 0.0032836914 0.0028564453 0.0032348633 0.0030517578 0.003125 0.0034057617 0.0028930665 0.0029052733 0.0029174804 0.0032592774 0.003100586 0.0033447265 0.0032714843 0.0032348633 0.0029907227 0.0028930665 0.0032348633 0.0028686523 0.0030151368 0.0030517578 0.0028076172 0.003112793 0.0032592774 0.0033691407 0.003063965 0.003125 0.0030517578 0.0028564453 0.003112793 0.003479004 0.003479004 0.0030883788 0.0030273437 0.0029418946 0.0034301758 0.0031860352 0.0027221679 0.003479004 0.0032348633 0.0030517578 0.004003906 0.0036621094 0.0037231445 0.0037475587 0.003515625 0.0033691407 0.0037719726 0.0039550783 0.003112793 0.003063965 0.003100586 0.0030517578 0.005627441 0.0030273437 0.0033813477 0.0029418946 0.0032836914 0.0032958984 0.0032592774 0.0034301758 0.0028808594 0.003503418 0.003149414 0.0034301758 0.0033325194 0.0031982423 0.0028320313 0.003442383 0.0033569336 0.0029296875 0.0033813477 0.0029663085 0.0032958984 0.0030395507 0.003442383 0.0030029297 0.0034179688 0.0032104491 0.0028930665 0.0029296875 0.00423584 0.0037475587 0.0032348633 0.0033813477 0.0037109375 0.0033325194 0.003149414 0.003515625 0.0034667968 0.003125 0.0032714843 0.0032348633 0.0034301758 0.0033691407 0.0037719726 0.003540039 0.003540039 0.0032958984 0.0031982423 0.0034057617 0.004211426 0.003527832 0.0037719726 0.011657715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007861946 1.8542325e-05 0.0005809929 9.889241e-05 0.0004511966 0.0002534118 0.0022436215 0.00086530857 7.41693e-05 1.8542325e-05 6.1807755e-06 4.3265427e-05 6.1807755e-06 6.1807755e-06 4.3265427e-05 8.6530854e-05 0.013146509 4.3265427e-05 0.0010198279 0.0006242583 0.0011249011 0.00079732004 0.005562698 0.0026330103 7.41693e-05 1.8542325e-05 2.4723102e-05 6.1807754e-05 2.4723102e-05 1.2361551e-05 5.5626977e-05 9.271163e-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 0.0124109965 0.00068606605 0.0015451938 0.0021138252 0.006372379 0.002663914 0.006545441 0.0036404766 0.0005253659 0.00012979629 0.000111253954 0.00013597705 0.00012979629 0.000117434734 0.00013597705 0.0007107892 0.011706389 0.0012979629 0.00069224683 0.0011187203 0.0029791337 0.0010878164 0.0013906745 0.0006242583 0.0013721321 0.0002534118 0.00028431567 0.00018542325 0.00063661986 0.00023486947 0.00032140032 0.0011310818 0.009264982 0.0007107892 0.0009951048 0.0011434434 0.0043141814 0.0016997132 0.001817148 0.0012423359 0.0014277591 0.00021014636 0.00012979629 0.00019778482 0.00051918515 0.00015451938 0.00031521954 0.0011743474 0.008751978 0.0014153975 0.0009456586 0.0022621637 0.0042523732 0.0022065367 0.0012237935 0.00080350076 0.0044254353 0.0006489814 0.00064280065 0.00030285798 0.0030100376 0.00026577333 0.0011805281 0.005636867 0.012244116 0.0018789558 0.002280706 0.0037022843 0.006044798 0.0041720234 0.0036775614 0.003022399 0.0057233977 0.000852947 0.0014524822 0.0019469443 0.0049631624 0.0023486947 0.0032263647 0.005754302 0.049817048 0.048828125 0.04870451 0.047010977 0.047023337 0.04846964 0.04750544 0.04855617 0.048036985 0.048327483 0.047307655 0.047635235 0.048098795 0.048760135 0.048482 0.04958836 382.0 12.628272 4824.0 0.027985075 0.0049751243 0.008706467 0.0043532336 0.0076699834 0.0074626864 0.0035240464 0.0031094528 0.0022802653 0.002694859 0.0024875621 0.00393864 0.0024875621 0.004145937 0.010364843 0.005804312 0.005389718 0.006840796 0.0049751243 0.005389718 0.004145937 0.0037313432 0.0047678277 0.0024875621 0.0062189056 0.0037313432 0.0035240464 0.0031094528 0.0080845775 0.0047678277 0.0074626864 0.012852404 0.031094527 0.02964345 0.0043532336 0.01575456 0.043532338 0.018034825 0.0076699834 0.01782753 0.005597015 0.018864013 0.0020729685 0.0031094528 0.0099502485 0.008499171 0.017412934 0.008706467 0.01844942 0.005804312 0.00725539 0.011608624 0.017412934 0.0035240464 0.0118159205 0.0043532336 0.016791046 0.0033167496 0.0062189056 0.0033167496 0.0060116085 0.0024875621 0.0047678277 0.018656716 0.0035240464 0.022180762 0.0099502485 0.016998341 0.018242123 0.04664179 0.010572139 0.007048093 0.009121061 0.026533997 0.00393864 0.005804312 0.017620232 0.015961858 0.029228855 0.020522388 0.014303482 0.0035240464 0.02757048 0.02446103 0.033167496 0.0118159205 0.0099502485 0.0037313432 0.006633499 0.008291874 0.0033167496 0.0043532336 0.0024875621 0.002694859 0.0035240464 0.002902156 6.119183 0.0 0.0 0.0 4.0 81920.0 94208.0 1.0 0.0 58.0 0.0 1.0 0.0 0.0 0.0 1393274100.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 6144.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 69120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3608184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.076825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9179516 0.0 7.9518185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4802.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5775.0 0.0 69632.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 14732.0 3152.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 12864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 13720.0 0.0 0.0 528.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.22329727 0.03496181 0.022437938 0.011855506 0.012730745 0.006858689 0.014385741 0.006763208 0.005760662 0.004503501 0.022183323 0.0041534053 0.003214513 0.006381286 0.0058561424 0.0030235518 0.005108211 0.00709739 0.013669637 0.0073360917 0.0024824953 0.0060471036 0.0027530235 0.0023074474 0.002434755 0.0024665818 0.0026734564 0.0023074474 0.0024506683 0.0020687461 0.003946531 0.0020687461 0.01029599 0.001957352 0.0022756206 0.002514322 0.0014003819 0.00324634 0.0022756206 0.0022278803 0.01039147 0.0018300446 0.0071769576 0.0038510503 0.0020528326 0.0032622532 0.005537874 0.0027211967 0.008290897 0.00491725 0.0029280712 0.0018618715 0.0019414385 0.0015276894 0.001845958 0.0012889879 0.0016549968 0.0015913431 0.0014003819 0.0011935073 0.0023551877 0.0010502865 0.0021483132 0.00084341184 0.0010821132 0.00704965 0.0025461488 0.0043761935 0.0020528326 0.0028325906 0.0026734564 0.0011298535 0.002514322 0.0030553788 0.0006842775 0.001145767 0.0016709103 0.0031985997 0.0020846594 0.0015913431 0.0026893697 0.0008752387 0.0029280712 0.004789943 0.0030235518 0.0035964353 0.0007797581 0.0014640356 0.00065245066 0.0008274984 0.0008593253 0.0009388924 0.0010025462 0.0009388924 0.0013049013 0.0069859964 0.0020369191 0.013796944 0.0020687461 0.012157861 0.008370465 0.030681094 0.0033418206 0.0051559517 0.005824316 0.018952897 0.0006206238 0.0035009547 0.009341184 0.006731381 0.01669319 0.02429981 0.007272438 0.0014640356 0.015849777 0.013335455 0.02667091 0.0075429664 0.002402928 0.001957352 0.0023870147 0.003962444 0.0015436028 0.0034850414 0.0027530235 0.0040579247 0.0010821132 0.0007320178 0.0068746023 0.003691916 0.001845958 0.003214513 0.0014322088 0.00047740294 0.004026098 0.0007638447 0.0005728835 0.0007638447 0.0006842775 0.0005887969 0.0014481222 0.0008274984 0.00070019095 0.0005887969 0.0007638447 0.0010184596 0.0005092298 0.0006365372 0.0008752387 0.000811585 0.0010184596 0.0006206238 0.0006365372 0.0005569701 0.00070019095 0.0004614895 0.00042966264 0.0009070656 0.0004137492 0.00047740294 0.0016390834 0.0010343731 0.0006365372 0.000811585 0.00074793125 0.00074793125 0.0004614895 0.0005410566 0.00065245066 0.0010821132 0.0004614895 0.0007320178 0.00060471037 0.0007638447 0.0005410566 0.00065245066 0.0006365372 0.000811585 0.0005092298 0.0005092298 0.0010980268 0.0007320178 0.00047740294 0.00074793125 0.0035327817 0.0009548059 0.00033418206 0.0007320178 0.00079567154 0.00052514323 0.0004614895 0.0004933164 0.0008911521 0.001257161 0.00042966264 0.0005569701 0.0011935073 0.0005887969 0.0010184596 0.00047740294 0.0023074474 0.0005569701 0.0006365372 0.0004933164 0.0007797581 0.0007797581 0.0005410566 0.00035009548 0.00065245066 0.0007638447 0.0010025462 0.00042966264 0.0006842775 0.0007797581 0.00044557606 0.00042966264 0.0008274984 0.0008593253 0.00060471037 0.0006206238 0.0007320178 0.0011616804 0.0011616804 0.0009388924 0.0007320178 0.0012094207 0.0008752387 0.00044557606 0.0005092298 0.0005887969 0.00070019095 0.0007320178 0.00052514323 0.000811585 0.00039783577 0.00065245066 0.00052514323 0.00065245066 0.00038192235 0.00079567154 0.00047740294 0.0005092298 0.0005410566 0.0006683641 0.0008274984 0.00060471037 0.0003182686 0.00084341184 0.00047740294 0.0010343731 0.0005887969 0.0008274984 0.0005569701 0.00047740294 0.0015276894 0.0005728835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011995443 4.8828126e-05 0.0004394531 0.0002685547 0.00052083336 0.0001953125 0.0020670572 0.0010091146 3.2552085e-05 0.0 8.138021e-06 1.6276043e-05 2.4414063e-05 0.0 2.4414063e-05 1.6276043e-05 0.03762207 0.0012939454 0.004345703 0.0032470704 0.014168294 0.010791016 0.0863444 0.041251626 0.00035807292 0.00010579427 7.324219e-05 8.951823e-05 7.324219e-05 6.510417e-05 8.138021e-05 8.951823e-05 0.10177409 0.011409505 0.015055339 0.0036946614 0.0048583983 0.0038981119 0.017871093 0.016072592 0.0017659505 0.0009928385 0.00091959635 0.0006754557 0.0006754557 0.0016031901 0.0006347656 0.0014322917 0.0991862 0.019327799 0.015633138 0.005110677 0.0049479166 0.0037923178 0.019067382 0.013590495 0.006217448 0.0020589193 0.0018961589 0.0016845703 0.0016601563 0.0020345051 0.0019042969 0.0018880208 0.054996744 0.010603841 0.010180664 0.005102539 0.005330404 0.004703776 0.017504882 0.009521484 0.0033610025 0.0012532552 0.0020507812 0.0020507812 0.002319336 0.0016764323 0.001529948 0.0011474609 0.04424642 0.01389974 0.005200195 0.0033691407 0.001920573 0.0016438802 0.00230306 0.0026123046 0.008601888 0.0018554687 0.0022460937 0.0044596354 0.0032877603 0.0016276041 0.0016031901 0.0011230469 0.017749023 0.0041829427 0.0036783854 0.0030110676 0.0018961589 0.0015869141 0.0052978517 0.0037190756 0.0019938152 0.000773112 0.0008870443 0.00091959635 0.0013427734 0.0012288411 0.0008789062 0.0008544922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013590495 0.0040852865 0.0045410157 0.007348633 0.0034505208 0.0038818358 0.008829753 0.005436198 0.0032796224 0.0016438802 0.0018798828 0.001578776 0.0016031901 0.0018473307 0.0017008464 0.001969401 0.0075602215 0.0029785156 0.0033610025 0.0050130207 0.002709961 0.003125 0.0057128905 0.0040934244 0.0023925782 0.0018717448 0.001985677 0.0017659505 0.0017415364 0.0017985026 0.001944987 0.001944987 757.0 20.363276 15415.0 0.011287707 6.487188e-05 0.00019461564 0.0006487188 0.0009082063 0.0002594875 0.00077846256 0.000518975 0.00045410314 0.0003243594 0.0002594875 0.0008433344 0.000518975 0.002140772 0.012455401 0.0046059033 0.011547194 0.011482323 0.006033085 0.002724619 0.002659747 0.0024002595 0.0023353875 0.0011028219 0.0022705158 0.001621797 0.0009730782 0.0 0.005903341 0.00038923128 0.006033085 6.487188e-05 0.0002594875 0.017385663 0.005838469 0.012844631 0.004800519 0.0055789817 0.0072007785 0.0012974376 0.005124878 0.006941291 0.00012974376 0.0008433344 0.0011676938 0.007460266 0.0046059033 0.0037625688 0.0062925722 0.00038923128 0.0075251376 0.013493351 0.0061628283 0.002140772 0.0012325657 0.0018812844 0.00038923128 0.0 0.0009082063 0.00012974376 0.0 0.00012974376 0.0002594875 0.024910802 0.0029192346 0.04489134 0.006357444 0.039831333 0.026792085 0.104249105 0.008887447 0.017320791 0.017385663 0.06415829 0.00045410314 0.010963348 0.028089523 0.017710023 0.055660073 0.06149854 0.018164126 0.0014920532 0.049237754 0.03976646 0.09095037 0.022575414 0.0050600064 0.004216672 0.0050600064 0.00966591 0.00103795 6.487188e-05 0.0002594875 0.00012974376 0.00019461564 6.487188e-05 5.140519 2.0 12.0 0.0 1.0 62840.0 81920.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 4101719600.0 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 -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 51200.0 512.0 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 -51200.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9781213 0.0 3.3189766 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 -50772.0 0.0 1316.0 0.0 0.0 0.0 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 58873.0 1316.0 65536.0 0.0 0.0 9080.0 53760.0 12.0 73728.0 84.0 58616.0 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: 0.38586223 0.016070735 0.011567302 0.05839773 0.022505004 0.036487374 0.008597093 0.0009978361 0.0009335087 0.004988168 0.00097554945 0.012092559 0.0008514531 0.000673666 0.000591104 0.00076939753 0.0028835945 0.001251094 0.000896533 0.0012460289 0.0008185296 0.0019906072 0.002868399 0.0022236044 0.002208409 0.0025999458 0.0017809096 0.001566147 0.0014921956 0.0013903859 0.00032923528 0.0002750381 0.00728623 0.0003586132 0.0010763461 0.0027787457 0.010955431 0.0006366904 0.00030289646 0.00052424386 0.00032822226 0.00077851483 0.00032771574 0.0003424047 0.0006301057 0.0012546397 0.0021704203 0.0004264863 0.008447165 0.010401809 0.00928798 0.0068637957 0.006271679 0.005784917 0.0056334687 0.0055271005 0.004930425 0.005421239 0.00037279565 0.0003206245 0.00036671746 0.00040217355 0.00035962622 0.00032417013 0.0010165772 0.009271772 0.007050194 0.017309165 0.008312431 0.017846579 0.003237649 0.0055483743 0.0017945855 0.013688084 0.0045768768 0.0027610178 0.011891979 0.0053184163 0.011630616 0.010596311 0.0060062646 0.0005358937 0.0082197385 0.00795635 0.010959483 0.010694069 0.0032761444 0.0023846764 0.0011776492 0.0012586918 0.0010966067 0.00029023355 0.0004193951 0.00031758542 0.0004771379 0.008952667 0.00461132 0.0028197735 0.0011913253 0.002416587 0.0016492155 0.004818485 0.0008580378 0.00095022365 0.00086310296 0.0026156476 0.0002983378 0.00049385295 0.0019617358 0.0013762035 0.0026186868 0.00304416 0.0015448732 0.00037684778 0.0026744036 0.0021496532 0.003377954 0.001345306 0.00064783375 0.00089552 0.0003869781 0.00060072774 0.00034189818 0.00026997292 0.009465261 0.00030948117 0.00021577574 0.0002983378 0.00037279565 0.00028668795 0.0003489894 0.0005500762 0.00021071058 0.0003099877 0.0018903171 0.0002461667 0.00037279565 0.000288714 0.00020058027 0.0002659208 0.0017722988 0.0002714925 0.0002466732 0.00028010324 0.00021932134 0.00036671746 0.00023249075 0.00031758542 0.00021020406 0.00026440126 0.00022236044 0.00025325792 0.0001853848 0.000255284 0.00020716497 0.00026338824 0.0005956626 0.00043661662 0.00021172361 0.0002623752 0.0010388639 0.0003363265 0.0002051389 0.0019505924 0.0001889304 0.00027959674 0.00038393898 0.00025072534 0.00021577574 0.00033024832 0.00017322841 0.00024464715 0.00019703465 0.0002461667 0.00021729528 0.00025427094 0.0002846619 0.0002588296 0.00025224488 0.00022793212 0.0002527514 0.0002659208 0.00020007374 0.0002370494 0.00019044995 0.00027909022 0.0002051389 0.00025680353 0.00019602162 0.00026997292 0.0001828522 0.0002760511 0.00031201376 0.0002654143 0.00024110153 0.0010925547 0.00020412587 0.00024768623 0.0003616523 0.00031555936 0.00022388 0.0004639685 0.00020361936 0.0002882075 0.00020716497 0.00025376442 0.00021729528 0.00025224488 0.00019652814 0.00026845338 0.00019450208 0.00022388 0.0001828522 0.00024566017 0.00016816326 0.0002497123 0.0010601376 0.000256297 0.00017474795 0.00023907547 0.00019551511 0.0002785837 0.00023552985 0.00023502334 0.0013959575 0.000255284 0.00019652814 0.0020853255 0.0001853848 0.00025224488 0.001262744 0.00032417013 0.00019804768 0.00028972706 0.00017373492 0.00024566017 0.00018943692 0.00027351856 0.00020108678 0.00023046469 0.00033987212 0.00078003434 0.00018031964 0.00019804768 0.0001828522 0.0002725055 0.00016411113 0.00024160804 0.00029428568 0.0002714925 0.00020615193 0.0003591197 0.00045586424 0.0011143348 0.0017829357 0.0106398715 0.005708355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009945531 1.4949971e-05 2.7872827e-06 7.60168e-07 3.2940613e-06 1.7737253e-06 3.80084e-06 2.0271148e-06 2.7872827e-06 7.60168e-07 7.60168e-07 2.5338934e-06 1.520336e-06 1.520336e-06 1.7737253e-06 2.280504e-06 0.00046978382 0.0 5.8279547e-06 3.040672e-06 3.040672e-06 3.5474507e-06 2.3565208e-05 1.0135574e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014924631 0.0001758522 0.000104903185 0.00010110234 0.00047105076 0.0005516286 6.0306662e-05 5.3465148e-05 0.0001877615 4.611686e-05 7.0442235e-05 4.180924e-05 6.512106e-05 5.3465148e-05 4.3582964e-05 0.00017382509 0.20598096 0.0045741843 0.0018606379 0.0015479554 0.007967321 0.008829605 0.0015307249 0.0013231991 0.0031549507 0.0011815545 0.0011992917 0.0011886493 0.001349805 0.0011681248 0.0010921081 0.0035859658 0.1536781 0.0078005907 0.0016716095 0.0012666933 0.0046562823 0.004582293 0.0020795662 0.0015621453 0.0026367693 0.0015819096 0.0012347662 0.0011828215 0.0011478537 0.001159763 0.0012631458 0.0055418783 0.047790494 0.0027533285 0.0015563173 0.00034587644 0.0009991141 0.00083213055 0.0021459542 0.00093272614 0.00048524057 0.00057899463 0.00085138815 0.0003043206 0.0005060185 0.0007761315 0.00084885425 0.0031607787 0.03580974 0.0013571533 0.0047328062 0.01864312 0.014651732 0.0011835815 0.0032770843 0.0031600185 0.00027137998 0.000116559095 0.0010710767 0.00013201585 0.00042569407 0.00024857494 0.001195491 0.0019440029 0.05075743 0.0035859658 0.010838475 0.035792004 0.07369626 0.033366054 0.008155082 0.00873281 0.0004875211 0.0003940204 0.0010698098 0.0003968077 0.0006613462 0.00041251784 0.001459776 0.0016419629 0.038618308 0.0028040064 0.007890797 0.012189041 0.027593339 0.013435969 0.012675548 0.007596359 0.00036437387 0.00030710787 0.0006187768 0.0002901308 0.0006119352 0.0002799952 0.0014316498 0.0009522371 0.004689983 0.0004137848 0.0012712543 0.00054047944 0.0013614609 0.0008534153 0.0023408106 0.0012494628 5.1944815e-05 3.3194003e-05 0.00010591674 4.130246e-05 9.096677e-05 4.2822798e-05 0.00014417853 0.0002614978 0.0005425066 0.00024756137 4.0795683e-05 8.615237e-05 0.00020220468 0.0001163057 4.256941e-05 4.231602e-05 2.6099102e-05 2.1031316e-05 3.2433836e-05 2.4325376e-05 2.8379605e-05 3.370078e-05 4.8397364e-05 2.2044873e-05 0.0019168904 0.0018570904 0.0001852276 0.00019206911 0.00022019533 0.0002376792 0.00023463853 0.00021284704 0.00021563433 0.00021766144 0.00022881058 0.00020397842 0.00023134446 0.00020321825 0.00020752587 0.00018142676 0.00027214014 0.0002424936 2.9646551e-05 4.3836357e-05 9.147355e-05 6.081344e-05 3.1673666e-05 3.471434e-05 3.370078e-05 2.711266e-05 3.2433836e-05 2.8632994e-05 3.2433836e-05 2.660588e-05 2.635249e-05 2.3818597e-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 44811.0 12.230859 548077.0 0.0120147355 0.00017150874 0.0028079995 0.00015691225 0.03786147 0.00062035077 0.00012771928 0.00057108764 0.0003393684 0.0003156491 3.8315786e-05 0.00019340348 0.00040140346 0.0004415438 0.0036746662 0.0004232982 0.02590147 0.03374161 0.030263996 0.022274243 0.019447997 0.018639717 0.018462734 0.018150734 0.016001401 0.015862735 0.000432421 4.561403e-05 0.00032659643 0.00035578944 0.0002864561 6.56842e-05 3.6491223e-05 0.022095436 0.024007576 0.049188346 0.029017821 0.06313346 0.010660911 0.018510172 0.005608701 0.041163925 0.01066456 0.002486877 0.033568274 0.018066805 0.039795503 0.037204627 0.018145261 0.0008922104 0.02876968 0.027049119 0.03362666 0.013926875 0.0057528415 0.006583017 0.002890105 0.0032148766 0.0006915087 2.1894733e-05 0.00012407015 2.0070172e-05 1.8245612e-06 0.02931705 5.838596e-05 0.0087159285 0.0030616135 0.0035432978 0.0049244906 0.016019646 0.001642105 0.0020197893 0.0021110172 0.008093753 0.00024266663 0.0006805613 0.0060429466 0.003296982 0.008217824 0.0096774725 0.004353403 0.00023536838 0.008701332 0.0065592974 0.0104054725 0.003683789 0.0013793682 0.0013684209 0.00056926307 0.0010399999 0.00015691225 2.1894733e-05 0.026498102 2.3719294e-05 0.0 0.0 5.499655 1.0 13.0 7.0 3.0 1974272.0 1974272.0 0.0 0.0 12.0 0.0 0.0 0.0 0.0 0.0 1513936500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19.0 0.0 4.0 0.0 4.0 0.0 4096.0 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 1961984.0 0.0 0.0 0.0 0.0 0.0 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 -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 4.890755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7138522 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.915271 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1961600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -289.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 471.0 1972425.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1972832.0 0.0 0.0 0.0 0.0


Input: 0.36656573 0.02400519 0.010272492 0.012975778 0.0089749135 0.005947232 0.013192042 0.0036764706 0.0034602077 0.0041089966 0.005298443 0.0030276817 0.0043252595 0.004217128 0.0047577852 0.0011894463 0.0024870243 0.0028114186 0.0023788926 0.004433391 0.0017301039 0.0012975779 0.0027032872 0.0012975779 0.0016219723 0.0012975779 0.0019463667 0.0014057093 0.0010813149 0.0029195503 0.0019463667 0.0020544983 0.010380623 0.0016219723 0.00086505193 0.0018382353 0.0017301039 0.0012975779 0.0023788926 0.00075692043 0.0028114186 0.0020544983 0.0032439446 0.0027032872 0.0024870243 0.0018382353 0.012110727 0.0027032872 0.016544119 0.005298443 0.0031358132 0.003784602 0.0019463667 0.0018382353 0.0025951557 0.0028114186 0.0021626297 0.0017301039 0.0021626297 0.00043252597 0.00097318337 0.00054065743 0.00097318337 0.0012975779 0.0016219723 0.0060553635 0.0019463667 0.0060553635 0.0025951557 0.0021626297 0.0024870243 0.0021626297 0.0024870243 0.0030276817 0.00021626298 0.0028114186 0.0028114186 0.0023788926 0.0022707612 0.0028114186 0.0035683392 0.00086505193 0.0015138409 0.0058391006 0.0025951557 0.005298443 0.0024870243 0.0020544983 0.00075692043 0.0010813149 0.00086505193 0.00086505193 0.0017301039 0.00021626298 0.00086505193 0.0017301039 0.0011894463 0.008217993 0.005622837 0.007785467 0.006487889 0.024113322 0.0014057093 0.0072448095 0.00508218 0.015462803 0.00086505193 0.0018382353 0.008542388 0.0071366783 0.012975778 0.013300173 0.0071366783 0.0010813149 0.015462803 0.010380623 0.02108564 0.005514706 0.00086505193 0.0043252595 0.0010813149 0.005947232 0.00097318337 0.0011894463 0.00054065743 0.00043252597 0.00064878893 0.00097318337 0.0023788926 0.0012975779 0.0041089966 0.0015138409 0.00021626298 0.0021626297 0.0036764706 0.0010813149 0.0010813149 0.0011894463 0.0014057093 0.00075692043 0.00043252597 0.00054065743 0.00054065743 0.00064878893 0.00064878893 0.0014057093 0.00086505193 0.00064878893 0.00054065743 0.00054065743 0.0011894463 0.00032439447 0.0012975779 0.00075692043 0.00086505193 0.00097318337 0.00054065743 0.00021626298 0.00054065743 0.00054065743 0.0017301039 0.00064878893 0.00097318337 0.0032439446 0.00086505193 0.00064878893 0.00086505193 0.00054065743 0.00043252597 0.00097318337 0.00043252597 0.00032439447 0.00086505193 0.0011894463 0.00021626298 0.00097318337 0.00054065743 0.0011894463 0.00054065743 0.00075692043 0.00054065743 0.00043252597 0.00097318337 0.0014057093 0.00097318337 0.00064878893 0.0015138409 0.0011894463 0.00075692043 0.00054065743 0.0010813149 0.00064878893 0.00043252597 0.00054065743 0.00064878893 0.00086505193 0.00075692043 0.0011894463 0.0011894463 0.00064878893 0.00064878893 0.00064878893 0.00064878893 0.0010813149 0.00086505193 0.00097318337 0.00064878893 0.00075692043 0.00064878893 0.00032439447 0.00086505193 0.00064878893 0.00043252597 0.00054065743 0.00097318337 0.00054065743 0.00086505193 0.00032439447 0.00043252597 0.00021626298 0.0011894463 0.00086505193 0.00064878893 0.00010813149 0.00097318337 0.00010813149 0.00086505193 0.00086505193 0.00075692043 0.00054065743 0.00086505193 0.00043252597 0.00021626298 0.00064878893 0.00043252597 0.00032439447 0.00032439447 0.00075692043 0.00054065743 0.00075692043 0.00075692043 0.00086505193 0.00043252597 0.0012975779 0.00097318337 0.00075692043 0.0012975779 0.0017301039 0.0010813149 0.00086505193 0.00075692043 0.00021626298 0.0012975779 0.00064878893 0.0011894463 0.0010813149 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.099121094 0.0004272461 0.0020141602 0.002380371 0.0036010742 0.0013427734 0.011169434 0.0044555664 0.00012207031 0.0 0.0 0.00012207031 0.0 0.00012207031 6.1035156e-05 6.1035156e-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 0.080078125 0.0009765625 0.0040283203 0.0045166016 0.006225586 0.0032348633 0.01751709 0.0072631836 0.00030517578 6.1035156e-05 0.00018310547 0.00012207031 0.0 0.00012207031 0.00012207031 0.00024414062 0.076171875 0.004699707 0.006591797 0.0018920898 0.004699707 0.0025024414 0.012084961 0.008056641 0.002380371 0.0008544922 0.0021362305 0.0008544922 0.0007324219 0.00048828125 0.00030517578 0.0005493164 0.13116455 0.006286621 0.010070801 0.0115356445 0.009033203 0.007873535 0.036987305 0.022460938 0.0032348633 0.0013427734 0.0018920898 0.0015869141 0.0015258789 0.00091552734 0.0014038086 0.0026855469 0.043762207 0.0025634766 0.004699707 0.002319336 0.007385254 0.0040893555 0.032165527 0.020812988 0.0020751953 0.0009765625 0.0020751953 0.0006713867 0.0005493164 0.00030517578 0.00018310547 0.00036621094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024902344 0.008911133 0.010131836 0.013549805 0.0065307617 0.007446289 0.013061523 0.0076293945 0.007019043 0.0033569336 0.003540039 0.003967285 0.0040283203 0.0029296875 0.0029296875 0.005065918 0.022766113 0.0073242188 0.010192871 0.011657715 0.007385254 0.0065307617 0.011962891 0.009094238 0.007080078 0.004333496 0.004333496 0.005126953 0.004760742 0.00390625 0.0033569336 0.0051879883 110.0 18.472727 2032.0 0.024606299 0.001476378 0.000492126 0.001476378 0.00246063 0.000492126 0.003937008 0.000492126 0.002952756 0.00246063 0.000984252 0.000492126 0.003937008 0.003937008 0.03395669 0.010826772 0.02805118 0.013287402 0.0083661415 0.009350394 0.001968504 0.004429134 0.003937008 0.0034448819 0.0034448819 0.005413386 0.003937008 0.0 0.000492126 0.000492126 0.000492126 0.000492126 0.000492126 0.021653544 0.001968504 0.018700788 0.005905512 0.005905512 0.0034448819 0.0034448819 0.00246063 0.0068897638 0.0 0.00738189 0.005413386 0.006397638 0.004429134 0.00492126 0.006397638 0.000492126 0.003937008 0.014271653 0.005413386 0.001476378 0.0034448819 0.0034448819 0.000492126 0.000492126 0.002952756 0.0 0.004429134 0.0 0.000492126 0.003937008 0.001968504 0.02706693 0.021161417 0.026574804 0.017716536 0.08316929 0.0034448819 0.02214567 0.015748031 0.053149607 0.001968504 0.004429134 0.024606299 0.025590552 0.04133858 0.043799214 0.021161417 0.000492126 0.045767717 0.037401576 0.08562992 0.020177165 0.002952756 0.015255906 0.0034448819 0.019192914 0.000984252 0.0 0.0 0.0 0.0 0.0 5.415795 0.0 7.0 0.0 1.0 9248.0 32768.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1535094500.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 3584.0 512.0 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 -3584.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1663785 0.0 3.3147895 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 -3188.0 0.0 1080.0 0.0 0.0 0.0 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 83.0 11288.0 1080.0 16384.0 0.0 0.0 3104.0 6144.0 12.0 24576.0 28.0 10976.0 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