Input: 0.24207611 0.01499204 0.018610353 0.011340813 0.012710382 0.010071626 0.009434358 0.007631989 0.010844246 0.0057448708 0.006364448 0.0078072483 0.007894467 0.005249538 0.0066191084 0.00957835 0.006881585 0.0053783082 0.008166405 0.0035191653 0.0061595677 0.0037223997 0.0029090506 0.00387462 0.0039622495 0.0020755422 0.00307567 0.0026157182 0.0023376078 0.0018949352 0.0017184421 0.0019233222 0.006652432 0.0018620227 0.001810597 0.0018776561 0.0024334653 0.003207731 0.0013074477 0.0013568164 0.0016995174 0.0011869058 0.0021170944 0.0016155906 0.0015254928 0.0014358063 0.0018990493 0.00113548 0.0030892463 0.0025408424 0.0025038158 0.005934529 0.0026840116 0.003051397 0.0022820681 0.0030448143 0.0028555677 0.0021964957 0.0028173071 0.0044386573 0.0026301173 0.0030896578 0.002911519 0.0023265 0.0033533687 0.001622996 0.0017279044 0.0037240454 0.0019842102 0.008317803 0.0019471837 0.0015518228 0.002523152 0.0015641649 0.00097503175 0.0010206979 0.0018550288 0.0017398351 0.0016723647 0.0015444175 0.009058745 0.00095281587 0.004407802 0.004177415 0.00278892 0.0024643207 0.00614846 0.009608794 0.0042206123 0.0053379904 0.0008816427 0.0015941976 0.0011852601 0.0019467723 0.0012893458 0.007211944 0.0028884802 0.00474968 0.0016378065 0.0036549293 0.0041942825 0.008047097 0.0039400333 0.0017785074 0.008412837 0.0042202007 0.006086338 0.0020541493 0.0037244568 0.0028839547 0.004211973 0.0042461194 0.0032513402 0.0010696552 0.00511542 0.0050500063 0.012411702 0.00764392 0.0016583769 0.0012988081 0.0017147395 0.0018142996 0.00093101134 0.0008536671 0.0017085683 0.0023277341 0.002108866 0.0017229676 0.0056148665 0.0022487442 0.0013494111 0.012597246 0.002492708 0.006424925 0.0013255496 0.002100638 0.0018426867 0.0041753575 0.0030785496 0.013058432 0.001275358 0.005591828 0.00088287686 0.0008898708 0.0013288407 0.0007944246 0.00085901533 0.00092895434 0.0012621931 0.0014604906 0.0014847636 0.00087423733 0.001271244 0.0012140586 0.000764392 0.00076110073 0.0010807631 0.000963101 0.00073929626 0.0008894594 0.0019924385 0.0043218182 0.00096721505 0.0016205275 0.0009906652 0.00079730444 0.00073888485 0.0007216058 0.0011498793 0.0007121435 0.0007964817 0.00075945514 0.00095199305 0.00072654267 0.00076768326 0.0007508156 0.0013341891 0.0007705631 0.00073312514 0.000779614 0.0010490848 0.0009857283 0.0013267838 0.0019364872 0.0027490137 0.0012202297 0.000834331 0.0010038302 0.0011379485 0.0009960135 0.0009273087 0.0014794153 0.0062319753 0.0017776845 0.001537835 0.0023680518 0.0073810318 0.0007434103 0.0022524467 0.0017863241 0.0011832031 0.00082939415 0.0008228116 0.0007660376 0.0013901403 0.00079524744 0.0007528726 0.00075904373 0.0014794153 0.0008561355 0.0013522909 0.00090056733 0.0012572561 0.0007438217 0.00073312514 0.0007717973 0.0018081286 0.00085202145 0.0007043268 0.0014580222 0.0012107673 0.0007936018 0.0009791459 0.00084667315 0.0022257054 0.0007401191 0.0009462334 0.0007968931 0.0012951056 0.0009268973 0.0007137891 0.0008487302 0.013905517 0.0021923815 0.00081129227 0.0031513686 0.002109689 0.00072859967 0.0007216058 0.0007508156 0.001939367 0.001961583 0.0018821816 0.0008302169 0.00201342 0.0008071782 0.0034101428 0.0016542628 0.0029468997 0.0013798551 0.0010984535 0.0013963113 0.0025581215 0.0017316071 0.002565938 0.024665425 0.004628997 0.0 0.0 0.0 2.6760777e-06 3.7053383e-06 0.0 0.0 0.0 0.0 2.0585213e-07 0.0 0.0 0.0 0.0 1.8526691e-06 0.00039997068 8.234085e-07 4.1170426e-07 8.234085e-07 4.1170424e-06 6.587268e-06 4.1170426e-07 1.0292606e-06 4.1170426e-07 8.234085e-07 6.175564e-07 6.175564e-07 2.0585212e-06 8.234085e-07 6.175564e-07 1.4409649e-06 0.00077462156 8.028233e-06 1.4615501e-05 1.4409649e-06 5.5580076e-06 1.2351128e-05 1.2145276e-05 7.822381e-06 4.1170426e-07 8.234085e-07 2.0585213e-07 1.4409649e-06 8.234085e-07 6.175564e-07 1.4409649e-06 8.234085e-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 0.00034212624 3.581827e-05 1.749743e-05 1.2351128e-06 1.4409649e-06 1.0292606e-06 2.8819297e-06 8.234085e-07 2.2643735e-06 2.4702256e-06 2.6760777e-06 2.4702256e-06 2.0585212e-06 8.234085e-07 1.4409649e-06 4.528747e-06 0.0016352893 0.00016447584 7.74004e-05 1.0292606e-05 2.0996917e-05 3.0466115e-05 3.890605e-05 1.9967656e-05 1.0498458e-05 8.234085e-06 9.469198e-06 1.2145276e-05 2.3672996e-05 9.057494e-06 1.0910163e-05 2.614322e-05 0.009821823 0.0013042791 0.00049651536 0.0001259815 0.00012412884 0.00013668582 0.00013750923 0.0002941627 7.431262e-05 9.283931e-05 0.00012927514 7.719455e-05 0.000115277195 0.00010642555 0.0001066314 0.00034768425 0.05241963 0.008260229 0.0022481112 0.0012641379 0.001066314 0.0035196596 0.01260659 0.008049436 0.0006179681 0.0007581534 0.0006519337 0.0005572417 0.0005397443 0.00060705794 0.0006642848 0.0027125136 0.09039317 0.014464611 0.0038813418 0.0025556542 0.0037815035 0.005458581 0.015450849 0.010391003 0.0013188946 0.0012734013 0.0014024705 0.0014419942 0.0014090579 0.0013236292 0.001244582 0.006941128 0.031066997 0.003979945 0.0028669026 0.0014771948 0.0029840325 0.0027503902 0.005185621 0.0034233208 0.00075712416 0.0007624763 0.0010086754 0.0009189239 0.0011035732 0.0009607119 0.0010967802 0.0024735192 0.049321346 0.0027975305 0.006079843 0.0039747986 0.0060454654 0.0050267032 0.0069335112 0.005502839 0.0032357897 0.0030941633 0.0030844882 0.0030476407 0.002930511 0.003032202 0.0027448323 0.0023388918 0.013649231 0.007525748 0.0048467885 0.021063613 0.0033251294 0.003264609 0.0038175278 0.0030756367 0.0024700197 0.0021058673 0.002115954 0.0021429206 0.0021581538 0.0020204387 0.0022057055 0.0022059113 0.01283591 0.0050569633 0.0029585068 0.0016958099 0.001280812 0.0023092492 0.0017312164 0.0014852231 0.003679401 0.0010224675 0.0009788269 0.0012112339 0.0017489197 0.0008800179 0.0017126898 0.0019928545 0.09478461 0.012442526 0.007010294 0.011871287 0.0135156335 0.030562041 0.015999857 0.013681138 0.040685028 0.0054285266 0.0070786374 0.007427968 0.016185535 0.005466815 0.017414473 0.025066203 0.02432143 0.003987973 0.0024866937 0.004226762 0.0048523466 0.010003178 0.0044134697 0.0045662117 0.0118531715 0.0019467436 0.0021657702 0.0022966922 0.005037613 0.002199324 0.0053116023 0.00856036 0.00041870322 0.00020317605 0.00012001179 0.00015109546 0.000116924006 0.00021593888 0.0003723865 0.00017497431 0.00028448764 0.00018732544 0.00014224382 0.00013318633 0.00013853848 0.00014615501 0.0003660051 0.00020152924 18466.0 13.458843 248531.0 0.029960046 0.0022492164 0.0020681524 0.0030499212 0.0027964318 0.013893639 0.0019917032 0.0019434196 0.0022331218 0.001995727 0.0027240063 0.0015450789 0.0029895667 0.0047599697 0.0062245755 0.0021647199 0.010783363 0.008695092 0.009527987 0.007302912 0.0075443303 0.00736729 0.0063171196 0.00615215 0.006993091 0.006795933 0.00936704 0.0062366463 0.00615215 0.0065987743 0.0062487177 0.005794046 0.0012553766 0.008345036 0.0034804512 0.01139898 0.0070896586 0.010489637 0.0041081393 0.0031183232 0.0039632884 0.0077173472 0.0010984545 0.0022814055 0.007053446 0.0066993656 0.008510005 0.00809557 0.00888018 0.0011749037 0.008823849 0.012541695 0.011974362 0.004003525 0.0035086167 0.0032511035 0.0038385554 0.0034402148 0.0009294615 0.0016939536 0.0022934764 0.0017341902 0.0018991595 0.06097831 0.0009375088 0.039202355 0.0095641995 0.028141359 0.02781142 0.070868425 0.010280408 0.00987402 0.012449151 0.0320282 0.0035649475 0.007556401 0.027465386 0.020303302 0.031316012 0.033959545 0.020126263 0.0017502847 0.040332995 0.040373232 0.05252061 0.01918473 0.007697229 0.0051341685 0.0041282577 0.01018384 0.0018870885 0.00090129604 0.0012191638 0.0009616507 0.0011749037 0.0009656743 5.778854 87.0 0.0 1.0 2.0 2430690.0 3145728.0 1.0 9.0 11.0 1.0 1.0 0.0 0.0 0.0 2551527200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 3.0 10.0 1059840.0 1536.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -93696.0 0.0 0.0 0.0 0.0 0.0 -1126626.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1059840.0 0.0 0.0 512.0 0.0 0.0 0.0 -5120.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.834197 0.0 0.0 0.0 0.0 0.0 -5.7002788 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.957436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5313916 0.0 0.0 2.9980361 0.0 0.0 0.0 -5.036132 3.688882 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 -1130496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -434176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1060864.0 0.0 0.0 4096.0 0.0 0.0 0.0 -8192.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 270.0 1703936.0 5096.0 1638400.0 4608.0 1900544.0 0.0 0.0 0.0 0.0 93260.0 1769472.0 1.0 1966080.0 0.0 0.0 0.0 0.0 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: 0.043349054 0.008021842 0.0067080334 0.0068999752 0.007826591 0.0051327874 0.0065789693 0.0053081824 0.007704145 0.00456689 0.0053677503 0.0051559526 0.0067676017 0.004391495 0.0051956647 0.005023579 0.0072904774 0.0042525027 0.0044643003 0.0042061717 0.00577149 0.003507901 0.0043584015 0.003653512 0.0057747993 0.0034417142 0.0039745183 0.0035740878 0.005050054 0.003342434 0.0036104906 0.0035244478 0.0066418466 0.0041896254 0.003779267 0.0037329362 0.0049673202 0.0036204187 0.0037627204 0.0035575412 0.0044940845 0.0035244478 0.0038255977 0.0042690495 0.004275668 0.0036104906 0.0038851658 0.0033391246 0.005576239 0.003157111 0.0037428641 0.0035542317 0.0043683294 0.0031140896 0.0035641599 0.0033589806 0.0047753784 0.0035443038 0.003167039 0.004361711 0.004848184 0.0034516423 0.0032299163 0.0033291967 0.0059865974 0.004507322 0.0043881857 0.004312071 0.0040936545 0.003938115 0.00446761 0.004331927 0.005175809 0.0037527923 0.0036071814 0.003633656 0.004120129 0.004060561 0.004100273 0.00336229 0.0059700506 0.0044345167 0.004914371 0.0047356663 0.003954662 0.0033788367 0.005149334 0.004825019 0.004441135 0.0028129395 0.003196823 0.0034946636 0.0040142303 0.0032133698 0.0032663192 0.0032762473 0.0048614214 0.0039281873 0.0028030116 0.0031008522 0.0035443038 0.0032861752 0.003392074 0.0027831555 0.004937536 0.0038355258 0.0038487632 0.003041284 0.003984446 0.0033391246 0.0031703482 0.0030776868 0.0049706297 0.0027136593 0.0040076114 0.0031637296 0.006317531 0.005946885 0.003593944 0.004073798 0.0046198396 0.0034053114 0.0024522215 0.002836105 0.003961281 0.0031504922 0.0031538017 0.0029750972 0.0062811286 0.0046132207 0.0039314968 0.004973939 0.0047886157 0.004245884 0.003418549 0.0035608504 0.0049904855 0.004530487 0.0033689088 0.005682138 0.0035840159 0.0045172498 0.0028989825 0.0027070406 0.004282287 0.0028129395 0.003021428 0.0026640191 0.0030843054 0.0032927939 0.0027302061 0.0029651693 0.0031107801 0.002564739 0.0030015719 0.0024422933 0.0029850253 0.0022999917 0.003051212 0.002584595 0.0036965334 0.0032927939 0.002419128 0.0028195581 0.0035641599 0.0031703482 0.0026540912 0.0026706378 0.0031703482 0.0029221477 0.0022503517 0.0023099198 0.0033953835 0.002720278 0.002525027 0.0021510713 0.0042293374 0.0025349548 0.0024224373 0.0023264664 0.0036667495 0.0028063208 0.003167039 0.00306114 0.0041035824 0.0029056012 0.0028658889 0.0030247374 0.0033821461 0.0024025813 0.0030115 0.0027732274 0.0055067427 0.004391495 0.004282287 0.003468189 0.0036071814 0.0023099198 0.0036965334 0.0032001324 0.004044014 0.0028096302 0.0030247374 0.0028096302 0.002991644 0.002283445 0.0025879045 0.0030247374 0.004130057 0.002836105 0.003723008 0.0028658889 0.0031173988 0.0020848846 0.002885745 0.002574667 0.003984446 0.0026574004 0.0030181187 0.0030942336 0.003458261 0.0027566808 0.0027434435 0.0027566808 0.0050268886 0.0032563913 0.0026838752 0.002253661 0.0038024324 0.0021014314 0.0021907834 0.002779846 0.0034648797 0.0023595598 0.0021643087 0.00516919 0.0033953835 0.0023628692 0.0024224373 0.0027765369 0.0051824274 0.0024025813 0.0027533714 0.0025879045 0.003186895 0.0018466121 0.003021428 0.0031140896 0.0042922148 0.002488624 0.002525027 0.0027566808 0.003593944 0.0023463224 0.002799702 0.013157939 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002989477 2.823395e-05 3.3216413e-05 1.6608206e-05 1.1625744e-05 2.491231e-05 2.3251489e-05 1.9929847e-05 7.805857e-05 8.304103e-06 3.3216413e-05 1.3286564e-05 1.6608206e-05 1.6608206e-05 6.145036e-05 2.6573129e-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 0.0026822253 4.3181335e-05 5.3146257e-05 3.8198872e-05 2.6573129e-05 3.653805e-05 6.6432825e-05 2.491231e-05 7.30761e-05 8.304103e-06 1.9929847e-05 2.491231e-05 4.8163798e-05 3.8198872e-05 7.1415285e-05 0.0001461522 0.002341757 5.978954e-05 3.155559e-05 0.00024414062 4.3181335e-05 5.1485436e-05 5.3146257e-05 4.3181335e-05 0.0001212399 0.00015279549 4.4842156e-05 1.4947385e-05 3.4877234e-05 2.1590668e-05 1.4947385e-05 0.00012788319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051435614 0.00015777796 0.00017438616 0.00017438616 0.000259088 0.00020428094 0.00043513498 0.0012887968 0.0013203523 4.8163798e-05 3.653805e-05 4.8163798e-05 0.0001610996 7.1415285e-05 0.00013286565 0.00054807076 0.0049857832 0.00024580144 0.00037202382 0.00037368463 0.0002906436 0.00029562606 0.0007905506 0.00089019985 0.0004849596 0.00013120483 9.798841e-05 8.968431e-05 0.00014283057 0.0001046317 0.00015943877 0.0007490301 0.0063476562 0.00035043314 0.00035209395 0.00071581366 0.00051319355 0.00033382492 0.0004849596 0.00042350925 0.0004617081 0.00049824617 0.00028400033 0.0002823395 0.0004201876 0.00042184844 0.00040025776 0.0013153699 0.0043114903 0.0002823395 0.00034378987 0.00041520514 0.0004268309 0.000499907 0.00043015252 0.0004849596 0.0004766555 0.00027237457 0.0002574272 0.00025244473 0.00036870217 0.00030725182 0.0003321641 0.0007423868 0.005681667 0.0005978954 0.00061782525 0.0007324219 0.0008121413 0.0006460592 0.0012190423 0.001212399 0.00055803574 0.0005314626 0.0005962346 0.00079553307 0.0016309258 0.001637569 0.00089019985 0.002248751 0.004505806 0.0006776148 0.0012356505 0.0011991125 0.0014050542 0.0013967501 0.0013369606 0.0016674638 0.0014814519 0.0021989264 0.0017189493 0.0023384353 0.0017637914 0.0012207031 0.00069754466 0.00576803 0.09397255 0.06750571 0.062368795 0.057324883 0.064032935 0.061661284 0.05191393 0.055305324 0.06318758 0.043121547 0.04272959 0.044923536 0.04956885 0.044961736 0.045479912 0.046499655 2023.0 6.247652 12639.0 0.022153651 0.009257061 0.010048264 0.00894058 0.012500989 0.007437297 0.00854498 0.00894058 0.013371311 0.00854498 0.009494422 0.009969143 0.011947148 0.0075164177 0.0106021045 0.007991139 0.013608672 0.008228499 0.009019701 0.007912018 0.009731783 0.007437297 0.007753778 0.006883456 0.011868028 0.008861461 0.0075164177 0.009731783 0.012580109 0.009098821 0.008307619 0.0086241 0.014478994 0.012342748 0.0094153015 0.011472426 0.011868028 0.010997705 0.010997705 0.011393307 0.012659229 0.010048264 0.008070258 0.008149379 0.012817469 0.009019701 0.009098821 0.007753778 0.01788116 0.011788907 0.013213071 0.013846032 0.010206504 0.009494422 0.013608672 0.013292191 0.012263629 0.0075955377 0.007358177 0.00854498 0.010206504 0.007358177 0.006804336 0.007912018 0.010522984 0.013529551 0.00846586 0.010364744 0.012580109 0.015586676 0.008070258 0.00854498 0.011947148 0.012184508 0.009494422 0.008307619 0.015586676 0.010443864 0.010364744 0.011393307 0.011551547 0.008703221 0.011630667 0.012500989 0.021204209 0.014637234 0.0106021045 0.013213071 0.01305483 0.009177941 0.005617533 0.0057757734 0.00878234 0.006092254 0.006725216 0.006962576 6.532025 0.0 0.0 0.0 2.0 302175.0 794624.0 0.0 0.0 15.0 0.0 1.0 0.0 0.0 0.0 1327872800.0 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 -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 10.0 0.0 5.0 0.0 5.0 0.0 274432.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -270848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9289412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9079146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 0.0 0.0 0.0 0.0 0.0 483328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 944.0 790584.0 28728.0 761856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.0068382807 0.0039722263 0.0039678295 0.003929259 0.003946446 0.003912071 0.003908274 0.003880695 0.0039334553 0.0039154687 0.0038463206 0.003824537 0.0038739 0.0038936853 0.0038880894 0.003963033 0.0038922862 0.0038822938 0.0038705026 0.0038667053 0.0038251365 0.0039002802 0.0037875646 0.0038601104 0.0039104726 0.0039086738 0.003889888 0.0038341298 0.0038723012 0.0038587113 0.003877697 0.0039284592 0.0039200652 0.0038455212 0.0038615093 0.003885891 0.0038932855 0.003834929 0.0038187413 0.0038862908 0.0038904876 0.0038663056 0.0038717017 0.0039190664 0.003841924 0.0038748994 0.0038223385 0.0039132703 0.0038896883 0.003910073 0.0038774973 0.0038840924 0.0039026784 0.0038639074 0.003824537 0.0038691035 0.0038950841 0.0038866904 0.003852716 0.003836528 0.003884692 0.003848519 0.0038719014 0.003904677 0.0040095984 0.003911272 0.0039756238 0.003920665 0.003896683 0.003997008 0.0038583116 0.0039022788 0.003907675 0.0038223385 0.0038649067 0.003872501 0.0038970828 0.0038770975 0.0038758984 0.0038479194 0.003984617 0.003836728 0.0038840924 0.003917867 0.003903278 0.0038880894 0.0039678295 0.0039680297 0.0038623086 0.003892686 0.003896683 0.0038581118 0.0038774973 0.0039020788 0.0038866904 0.003935454 0.0038922862 0.0039190664 0.0039376523 0.00394045 0.00386051 0.003957038 0.003842923 0.003907675 0.003979021 0.0039284592 0.0039394507 0.003864507 0.0038838924 0.0038760984 0.003937852 0.00391447 0.0039038775 0.0039122715 0.0039010798 0.003968829 0.0039746244 0.003971027 0.0038615093 0.003922064 0.0038824936 0.0038984816 0.0039174673 0.0039028784 0.003946046 0.0039290586 0.0038968828 0.0039604353 0.003919266 0.0039012795 0.0038900878 0.0039184666 0.003951442 0.0039196657 0.003888489 0.0038942848 0.0038669053 0.003910872 0.0038693035 0.003971427 0.0038814943 0.0038988814 0.003909673 0.0038772975 0.003883493 0.003935254 0.003909074 0.0038451215 0.003872501 0.0039062756 0.0038451215 0.0038661058 0.0039040775 0.0038906874 0.0038828934 0.003884692 0.003964832 0.0038812945 0.0039498433 0.0038962832 0.0038423236 0.003828534 0.0038665056 0.0038653065 0.0038958834 0.003822938 0.003841724 0.0038513169 0.003857912 0.0038944846 0.0038481194 0.003861909 0.003867505 0.0038856913 0.0038782968 0.00390068 0.0038395256 0.0038936853 0.003855114 0.0038019537 0.0038808947 0.003856513 0.0038643072 0.0038904876 0.003839126 0.0038313319 0.0038505176 0.0039066756 0.0038790961 0.0038655063 0.0038918864 0.003958037 0.0039054763 0.0038848917 0.0038427233 0.0038850915 0.0039174673 0.0038892885 0.003912071 0.0039002802 0.0039454466 0.0039016793 0.0038571125 0.0039066756 0.003880495 0.0038908874 0.003889888 0.0038824936 0.0038830931 0.003841724 0.0039086738 0.0038213395 0.0039116717 0.0038243372 0.0038824936 0.0038870901 0.003829933 0.0038910871 0.0038663056 0.0038385266 0.0039078747 0.003899281 0.0038928858 0.0038731005 0.0038633079 0.0038547143 0.0038982818 0.0038958834 0.0038888888 0.0038840924 0.00390068 0.0038930855 0.004017792 0.0039546397 0.003979621 0.0039482443 0.0038868904 0.003877897 0.003827135 0.0038894883 0.0039134705 0.003916668 0.0039012795 0.003903278 0.003840725 0.0038762982 0.00392686 0.003891287 0.00392726 0.0038956837 0.0039016793 0.0038643072 0.003930058 0.0038894883 0.0038820938 0.0046906886 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00024878854 4.1981193e-06 1.0195433e-05 4.997761e-06 1.6492611e-05 9.295835e-06 4.7578684e-05 3.908249e-05 1.0295387e-05 3.1985671e-06 1.5992836e-06 1.6992387e-06 2.3989253e-06 1.7991939e-06 2.199015e-06 5.5974924e-06 9.2958355e-05 1.6992387e-06 8.296283e-06 4.59794e-06 5.1177074e-05 2.2090104e-05 0.00014773381 7.136803e-05 7.996418e-07 6.9968655e-07 8.9959696e-07 1.1994626e-06 1.5992836e-06 1.1994626e-06 1.3993731e-06 1.6992387e-06 0.0004782857 1.2194537e-05 8.596149e-06 1.3493955e-05 4.058182e-05 3.218558e-05 0.000119346536 9.305831e-05 2.8287328e-05 2.8387283e-05 3.178576e-05 3.388482e-05 3.1285985e-05 3.748321e-05 5.0477385e-05 0.00018891536 0.00023009692 1.0095478e-05 8.79606e-06 1.2194537e-05 2.6688043e-05 2.049082e-05 1.819185e-05 3.388482e-05 4.2181102e-05 1.8991492e-05 8.79606e-06 1.0995074e-05 1.8791581e-05 1.5193194e-05 3.2885266e-05 0.00010585258 0.0010631237 4.557958e-05 5.687452e-05 6.806951e-05 7.6065924e-05 0.0001321408 0.00024329101 0.00017852003 0.00010765177 0.00016482615 8.576158e-05 7.406682e-05 7.086825e-05 8.81605e-05 0.00017861997 0.00043700423 0.0006498089 8.896014e-05 4.997761e-05 7.266745e-05 0.00015123225 0.00017002384 9.8855715e-05 0.00013913767 0.0002011099 0.00010035504 4.2580923e-05 3.5883924e-05 0.0001024541 5.687452e-05 0.00018241828 0.00031415926 0.000738869 0.00015722956 9.95554e-05 0.0001243443 0.00027297772 0.00021530355 0.000107151995 0.00023589432 0.0002785752 5.4675504e-05 4.268088e-05 4.537967e-05 0.00013583915 6.6969995e-05 0.00018551688 0.00030966126 0.06191876 0.061649382 0.061707955 0.061709255 0.06180581 0.061866082 0.061800312 0.06196114 0.06180811 0.061949246 0.0616021 0.061703857 0.061934754 0.06169586 0.0618325 0.061795916 23388.0 5.7354627 134141.0 0.010630605 0.010265318 0.009795663 0.009818028 0.010168405 0.009601837 0.009974579 0.009818028 0.01017586 0.010153495 0.010533692 0.010108766 0.009609291 0.009691295 0.010086401 0.01016095 0.010339866 0.010399505 0.010056582 0.010086401 0.009989489 0.010727518 0.009877666 0.0101460405 0.010503873 0.010228043 0.010190769 0.009258914 0.010802067 0.010474053 0.009937305 0.010101311 0.010213134 0.011092805 0.010310047 0.0102876825 0.010891524 0.011055531 0.010310047 0.010854251 0.010153495 0.010377141 0.009631656 0.009862756 0.010488963 0.010966073 0.010213134 0.009601837 0.010250408 0.010295137 0.0103696855 0.010354776 0.010280227 0.010250408 0.010213134 0.010481508 0.009907485 0.009989489 0.009870212 0.009780753 0.009996943 0.010816976 0.009706205 0.010578421 0.009773298 0.011555006 0.010317502 0.010988438 0.010757337 0.0128894225 0.0100342175 0.010690244 0.010488963 0.01179356 0.010205679 0.010809521 0.011473002 0.010809521 0.012822329 0.011502822 0.01040696 0.009855301 0.011525186 0.011189719 0.011510276 0.010988438 0.010101311 0.010600786 0.0100640375 0.010667879 0.0101460405 0.010488963 0.010854251 0.009989489 0.010332411 0.011204628 6.582542 0.0 1.0 0.0 88.0 5003743.0 307200.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 7.3010626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 58080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 58080.0 245760.0 0.0 0.0 6504.0 28501400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.056760836 0.008304694 0.0061745937 0.0056539946 0.0057545886 0.004961245 0.004203162 0.0054206583 0.0050462834 0.0056218463 0.0037561937 0.0044603506 0.004958134 0.0031827053 0.0043193116 0.004636649 0.005037987 0.003759305 0.004933245 0.004153384 0.0043545715 0.0031806312 0.004100494 0.0038381207 0.005078432 0.003340337 0.0031733718 0.002921369 0.004141976 0.0034398937 0.0037945646 0.0037924906 0.006170445 0.0038267132 0.0034855239 0.0030147033 0.004893837 0.004172051 0.0038474542 0.0037240454 0.0047258353 0.0038972325 0.0033289294 0.003089371 0.0043753125 0.0037105635 0.0037261194 0.0035830066 0.0055098445 0.0039470107 0.0031059636 0.0028933685 0.003677378 0.0030758893 0.002696329 0.0028549978 0.004162717 0.00332167 0.0035197465 0.0033486332 0.004013382 0.0032231503 0.003507302 0.0034606347 0.006596673 0.0039449367 0.0036151551 0.0032262614 0.004152347 0.0032231503 0.0035415245 0.003073815 0.0050037643 0.003781083 0.0037136748 0.0035850806 0.0041274577 0.0031246305 0.0035446356 0.0034575234 0.0051738406 0.0036275997 0.0036400442 0.0033393 0.0039304183 0.0033787077 0.0033673001 0.0035425615 0.0046532415 0.0036410813 0.003803898 0.003508339 0.004111902 0.0033776707 0.0036867114 0.0037924906 0.0059039234 0.0036317478 0.0033361886 0.0029566286 0.004013382 0.0030551483 0.0032698174 0.0030333702 0.004976801 0.0031661126 0.0031982611 0.0030582594 0.003573673 0.0028301084 0.0030852226 0.0031858166 0.004498721 0.0032936695 0.0032169279 0.003137075 0.0038941214 0.0033278924 0.0032926325 0.0036296737 0.0046283524 0.0032967809 0.0034751534 0.0031609272 0.0040434566 0.0032044833 0.0034637458 0.0033475962 0.008657291 0.004593093 0.0040258267 0.0035259689 0.0043649417 0.0034326343 0.0030188514 0.0033911522 0.00454124 0.0038308613 0.0029607767 0.0031930758 0.0037302675 0.0027917377 0.0028487754 0.0029815177 0.0052288044 0.0032096687 0.0034855239 0.0030229997 0.0036701187 0.0031723347 0.003305077 0.0032739658 0.004546426 0.002841516 0.0030468518 0.0027046255 0.0035166354 0.0032304097 0.0029898142 0.0031505567 0.005014135 0.0034098192 0.0032698174 0.0027938117 0.0037769347 0.0030105552 0.003051 0.0031847793 0.004137828 0.0030032957 0.003116334 0.0030188514 0.0036452294 0.0028290714 0.0029182576 0.0030395924 0.004678131 0.003111149 0.0038391578 0.0028477383 0.0035674507 0.003154705 0.0029846288 0.0031184081 0.0042550145 0.0031453716 0.0033278924 0.003176483 0.0036638964 0.0031878906 0.0033320405 0.0033527815 0.00672423 0.004059012 0.0037240454 0.0033372256 0.004125383 0.0032501135 0.0033071514 0.0032293727 0.0043265712 0.0033268551 0.0031184081 0.0030800374 0.0036390072 0.0029846288 0.0030779634 0.0028021082 0.0042539774 0.0032677434 0.0030810745 0.0030074439 0.0037064154 0.0030064068 0.0029317392 0.002944184 0.0039801965 0.0031080379 0.0027284776 0.0026455135 0.003527006 0.002948332 0.0035861176 0.002884035 0.004948801 0.0032428543 0.0033953006 0.0029784066 0.0037997498 0.003069667 0.0031982611 0.0029089241 0.0044437577 0.005446585 0.0034606347 0.0031401862 0.00378212 0.003071741 0.0032459653 0.0032013722 0.00462213 0.0033154476 0.0034233008 0.0030447778 0.003742712 0.0030790004 0.0033144106 0.0032418172 0.0043473123 0.0030344073 0.0031889277 0.0028591459 0.0040164934 0.0030976674 0.0042353105 0.0045215366 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045903632 0.00029296876 0.00027167136 0.00026803525 0.00030335772 0.00024102394 0.00032829124 0.00030283828 0.00033400516 0.00034906916 0.00033088846 0.00035530253 0.00051944813 0.00015739279 0.00018855967 0.0007412525 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09923537 0.061995614 0.062450133 0.05530824 0.060589988 0.05956408 0.054939434 0.05447816 0.060480386 0.053164996 0.052120905 0.05293592 0.056422457 0.050520487 0.05662764 0.053847034 4021.0 5.7050486 22940.0 0.017131647 0.010505667 0.009372275 0.00858762 0.013513514 0.0125980815 0.011857018 0.011508282 0.01255449 0.009677419 0.008456844 0.00858762 0.013862249 0.010505667 0.01190061 0.00989538 0.01673932 0.011944203 0.008718396 0.0074978205 0.009808196 0.008500436 0.007802964 0.008326068 0.010244115 0.008456844 0.009633827 0.0088055795 0.011508282 0.008936356 0.009590236 0.009154316 0.018003488 0.010854403 0.010331299 0.009154316 0.010810811 0.0088055795 0.010723627 0.008282476 0.014254577 0.011595466 0.009764603 0.008936356 0.011464691 0.009328684 0.011639059 0.009546643 0.014777681 0.009590236 0.009938971 0.009067131 0.0121185705 0.009372275 0.009633827 0.00989538 0.013775066 0.0092415 0.010549259 0.009503052 0.011115954 0.009808196 0.010418483 0.010723627 0.018003488 0.010985179 0.009721011 0.0081517 0.013077593 0.008238884 0.009372275 0.008326068 0.015475153 0.009372275 0.008892763 0.008674804 0.011377507 0.008020924 0.00989538 0.0079337405 0.013164777 0.008020924 0.008718396 0.008718396 0.011421098 0.009459459 0.0081517 0.007977332 0.010941586 0.008979947 0.012031387 0.008544028 0.0113339145 0.008979947 0.010069747 0.008761988 6.554401 0.0 0.0 0.0 14.0 964274.0 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: 0.06839181 0.014678319 0.011160999 0.009834331 0.009947642 0.0077711525 0.007804201 0.0072848652 0.008484059 0.005311389 0.0055946633 0.005556893 0.008446289 0.0053822077 0.006038459 0.006817463 0.013970134 0.009154474 0.0072754226 0.005292504 0.00619426 0.004787332 0.0044143545 0.004112195 0.004225505 0.003276537 0.0033898465 0.0031490636 0.0058023976 0.0032954218 0.0035692535 0.0038336425 0.010726646 0.0064964187 0.005231128 0.004164129 0.0055191233 0.0038761336 0.0038147576 0.003455944 0.004164129 0.002733595 0.0028469046 0.003016869 0.0038525276 0.0026816614 0.0036353506 0.0032859794 0.008578483 0.005146146 0.0041924566 0.0037297753 0.0038478062 0.003219882 0.0033898465 0.0027194312 0.0041310806 0.0020679007 0.0024031084 0.0029035592 0.0035975808 0.0028374621 0.0028846744 0.0028327408 0.010311177 0.0065247463 0.0042916024 0.0042302264 0.004924248 0.004881757 0.0041546864 0.0033567979 0.0039044612 0.002393666 0.0024408784 0.002152883 0.0028988381 0.0029885415 0.0032529307 0.002573073 0.008658744 0.0043577 0.0041310806 0.0036117446 0.0040933103 0.003942231 0.003455944 0.002979099 0.003800594 0.0022567501 0.0022614715 0.0017562993 0.00267694 0.0029318868 0.0026911038 0.0025825154 0.0071149007 0.0052452916 0.0035645321 0.0030688026 0.0033048643 0.0031348998 0.003540926 0.0023983873 0.0036070233 0.002152883 0.0025919578 0.0018129541 0.0030310326 0.0025400242 0.002979099 0.0034276163 0.0055663357 0.0031537847 0.0032670945 0.0028327408 0.004409633 0.0045135003 0.0023795024 0.0021764892 0.0029602142 0.0018601664 0.0017374144 0.0015863349 0.0027666434 0.002511697 0.0025258607 0.0024503209 0.009055329 0.004990345 0.0035456473 0.004820381 0.004286881 0.004164129 0.0027241525 0.0026297278 0.0036636782 0.0036306295 0.0024455995 0.0057787914 0.0023511748 0.0030451964 0.0029413293 0.001968755 0.005835446 0.0036920055 0.0026061216 0.0021717679 0.0027194312 0.0022567501 0.0022850777 0.0020584583 0.002133998 0.0016571534 0.001789348 0.0015532862 0.0019121 0.0020537372 0.0023086837 0.002072622 0.005589942 0.0041263592 0.0028185772 0.0024408784 0.0024172722 0.002072622 0.0021151132 0.0019829185 0.0025919578 0.0016193835 0.0020254096 0.0015060739 0.0020537372 0.0019781974 0.00233229 0.0023511748 0.006095114 0.0035645321 0.0028893957 0.0022567501 0.0024503209 0.0021434405 0.002133998 0.0019451487 0.0031160149 0.0016665958 0.0020679007 0.0015107951 0.0020442947 0.0021198343 0.0024219933 0.0022378652 0.007147949 0.004565434 0.003399289 0.0032009971 0.0037486604 0.0027194312 0.0035267624 0.0033095856 0.0027099887 0.0022425866 0.0024503209 0.0018554452 0.0022567501 0.0022425866 0.0030829662 0.002190653 0.005476632 0.003946952 0.0031821122 0.002573073 0.002554188 0.0019545911 0.0023228475 0.0022567501 0.0031962758 0.0019215426 0.0021103919 0.0020962283 0.0023558962 0.0023181261 0.0026674976 0.0023464537 0.006416158 0.004145244 0.003498435 0.0026391703 0.0029224444 0.0023228475 0.0025777943 0.0019121 0.0056749242 0.0020018036 0.0022803564 0.0034937137 0.0029460504 0.0024219933 0.0030451964 0.0024408784 0.0070535247 0.0041310806 0.0032009971 0.0028988381 0.0031821122 0.002516418 0.0027005463 0.0025305818 0.0034181739 0.0017846267 0.0019593125 0.0017657417 0.0025683516 0.0018271179 0.002757201 0.005292504 0.019512195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046041347 3.0964176e-05 4.0491617e-05 2.3818598e-06 3.0964176e-05 9.527439e-06 4.7637195e-06 2.1436737e-05 2.6200458e-05 3.3346038e-05 7.1455793e-06 4.7637195e-06 4.7637195e-06 1.1909298e-05 7.1455793e-06 3.8109756e-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 0.00407298 5.4782773e-05 9.527439e-05 1.6673019e-05 8.8128814e-05 3.5727895e-05 1.4291159e-05 3.3346038e-05 9.051067e-05 8.336509e-05 2.6200458e-05 3.5727895e-05 3.0964176e-05 2.1436737e-05 3.5727895e-05 0.00014291158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002836795 2.3818597e-05 5.4782773e-05 1.4291159e-05 5.7164634e-05 2.6200458e-05 0.00010718369 9.527439e-05 6.6692075e-05 0.00014052972 1.9054878e-05 3.3346038e-05 2.6200458e-05 9.527439e-06 0.0007693407 0.0005978468 0.0029487424 5.4782773e-05 0.00010480183 0.00014291158 0.00023342225 8.0983235e-05 0.0002429497 0.0001834032 0.00026200459 6.192835e-05 2.6200458e-05 3.3346038e-05 0.00012147485 3.8109756e-05 0.00014052972 0.00020245808 0.002698647 7.145579e-05 0.00013814787 0.00015243902 0.00015720274 0.000116711126 0.00010241997 0.00011909299 0.00018816692 0.00020007622 3.8109756e-05 0.00015243902 0.00011432927 0.00010003811 7.860137e-05 0.0004501715 0.0019578887 4.2873475e-05 8.574695e-05 0.00010003811 7.145579e-05 9.289253e-05 0.0001834032 0.00015482088 5.2400916e-05 0.00023342225 3.0964176e-05 0.00013814787 6.431021e-05 8.0983235e-05 0.0007621951 0.00082650536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035942264 0.0005978468 0.00044064404 0.00040491615 0.00066692074 0.00040015244 0.00058355567 0.0004263529 0.00057641004 0.00020245808 0.00019769436 0.00025724084 0.00035251526 0.00024056784 0.00039777058 0.00041682547 0.0051996 0.0021436738 0.0013219322 0.0010908918 0.0017506669 0.0012433308 0.0009646532 0.0009122523 0.0012266578 0.0008479421 0.00091463415 0.0008622332 0.0021174734 0.0015887005 0.0010932736 0.0011123285 0.13496332 0.083377 0.06774009 0.057036012 0.062611945 0.054582696 0.051667303 0.04510766 0.06002525 0.03762624 0.03908632 0.039484087 0.048211224 0.041553926 0.047801543 0.04619855 1086.0 5.976059 6490.0 0.031587057 0.015562404 0.012172573 0.010631741 0.013405239 0.010631741 0.011248074 0.010169491 0.008936826 0.0063174115 0.007395994 0.007241911 0.009553159 0.0058551617 0.009244992 0.006933744 0.022187982 0.011402157 0.01201849 0.009861325 0.012172573 0.007550077 0.009244992 0.00770416 0.007241911 0.0058551617 0.008320493 0.008320493 0.009244992 0.004622496 0.0057010786 0.007241911 0.021109398 0.016486904 0.010169491 0.011556241 0.012788906 0.012634823 0.012326657 0.010323575 0.00770416 0.007550077 0.0057010786 0.0055469954 0.009861325 0.008474576 0.009553159 0.008782743 0.021263482 0.010631741 0.011710323 0.011093991 0.0124807395 0.012326657 0.008012326 0.010477658 0.008782743 0.0057010786 0.0061633284 0.00431433 0.009090909 0.0055469954 0.0063174115 0.0064714947 0.015716488 0.02357473 0.00862866 0.0124807395 0.012634823 0.021725731 0.009399075 0.009861325 0.011864407 0.011864407 0.0100154085 0.0041602463 0.01633282 0.008936826 0.015716488 0.016024653 0.019414485 0.008012326 0.014791988 0.014791988 0.021725731 0.014021572 0.0049306625 0.0063174115 0.006625578 0.0063174115 0.0033898305 0.0026194146 0.0058551617 0.0049306625 0.0055469954 0.005238829 6.4370456 0.0 1.0 0.0 1.0 211809.0 471040.0 0.0 0.0 9.0 0.0 1.0 0.0 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 2.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 364544.0 512.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -199168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 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 0.0 0.0 0.0 0.0 -7.785426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2787514 0.0 4.0788164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -454656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1376.0 0.0 4136.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 644.0 458752.0 4136.0 462848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 460088.0 0.0 0.0 0.0 0.0 64.0 459052.0 0.0 0.0 0.0 0.0


Input: 0.64870507 0.0018527891 0.0014721977 0.0016442597 0.0018022181 0.0013877786 0.0013376105 0.001351714 0.001889458 0.0012548033 0.0012985239 0.001388383 0.0016345887 0.0012469456 0.0012235742 0.0018596393 0.0016055759 0.001270317 0.0012912707 0.0012880471 0.0013636012 0.001261452 0.0013265293 0.0012646756 0.0014262608 0.0012785776 0.0012765628 0.0012737422 0.0016803242 0.0014454011 0.0015338499 0.0018791826 0.0018016137 0.0039018176 0.001392614 0.001361385 0.0015022178 0.0014451997 0.0014018819 0.001274951 0.0012670934 0.0012832116 0.0015261937 0.001555408 0.0013674293 0.0013456697 0.0012495648 0.0012409013 0.0013764958 0.0012570195 0.0013224997 0.0015016134 0.0012590343 0.0012026204 0.001225186 0.0011909348 0.001302352 0.0012815997 0.0011867038 0.0013793164 0.0013081948 0.0011647427 0.0011768313 0.0012965092 0.0015785779 0.0014004717 0.0013611835 0.0017871073 0.0012971136 0.0025980552 0.0013218953 0.0012747495 0.0013073889 0.0012751524 0.00124755 0.0012068516 0.0012225668 0.0016615867 0.0012918751 0.0012042323 0.001460109 0.0012497663 0.0012449308 0.0012967106 0.0012286111 0.0014635342 0.0014593031 0.0013142391 0.0012785776 0.0014454011 0.0012124929 0.0012189402 0.0011957702 0.0014570869 0.001383749 0.001302755 0.0012955017 0.0013233057 0.0012620564 0.0013031579 0.0012088664 0.0014973824 0.001375287 0.0012135003 0.0012882486 0.0013096052 0.0014071204 0.0012380806 0.0012537958 0.0012072545 0.0013011431 0.0013527214 0.0012942929 0.001198591 0.0014204179 0.0013857638 0.0017933531 0.0018205526 0.0012773687 0.0012167239 0.0012078589 0.0013144406 0.0011917407 0.0011947629 0.001243319 0.0015235745 0.0012179328 0.0012548033 0.0014040982 0.0012382821 0.0011945614 0.0017429837 0.0012828086 0.001537678 0.0011756225 0.0012147091 0.001298121 0.0021270004 0.001210881 0.0033487612 0.0012006058 0.001564676 0.0012175299 0.0011806594 0.001207456 0.001184689 0.0012038294 0.0011842861 0.0011685707 0.0011850919 0.0011554747 0.0011826742 0.0011623249 0.0011647427 0.0011643397 0.0011470127 0.0011871067 0.0011762269 0.0012201491 0.0011709885 0.0012626608 0.0011631309 0.0010984566 0.0012062471 0.0011913377 0.0012276038 0.0011574895 0.0011393565 0.0012100752 0.0011411698 0.0011258575 0.0011578924 0.0012137018 0.0012094708 0.0011955688 0.0011717944 0.001279988 0.0012288126 0.0011405654 0.0011848905 0.0012358644 0.0012384836 0.0012906663 0.0013791149 0.0012928825 0.0011939569 0.0011987925 0.0011911363 0.0012269993 0.0012265963 0.0012423116 0.0011834801 0.0016718621 0.0014818686 0.001369041 0.0014345214 0.0013468786 0.0011675634 0.0013432519 0.0013533258 0.0013418416 0.0012983225 0.0011500348 0.0012324392 0.0013118214 0.0011220294 0.0012666904 0.0012868382 0.0012787791 0.0012004043 0.0012211564 0.0012348569 0.0012135003 0.0011550718 0.0012261934 0.00119436 0.0013224997 0.001244125 0.0011730032 0.0012640712 0.0012862338 0.0012485575 0.0012199476 0.0012511766 0.0014325066 0.0011842861 0.0012126943 0.0012280067 0.0013650116 0.0012838161 0.0012000013 0.0012691082 0.0021076584 0.0012948973 0.001152251 0.0015336483 0.0015533932 0.0011852934 0.0011810624 0.0012953002 0.0014979868 0.0012324392 0.0012574225 0.0012241786 0.0013807268 0.0013777047 0.0013208879 0.0013464756 0.0014772346 0.0012765628 0.0012068516 0.0012882486 0.0015908681 0.0014317007 0.001623709 0.0098609235 0.047421318 3.8490187e-05 0.00014751212 8.060772e-07 7.053175e-07 5.037982e-07 1.0378244e-05 1.712914e-06 2.015193e-07 4.030386e-07 1.0277484e-05 9.068368e-07 3.0227895e-07 2.015193e-07 1.6121544e-06 3.2847645e-05 0.04168497 0.00035618537 0.0018531714 4.59464e-05 1.5920024e-05 1.4005591e-05 1.6222302e-05 1.4912428e-05 1.5718504e-05 1.4509389e-05 1.6524582e-05 1.5416226e-05 2.0454208e-05 2.267092e-05 2.861574e-05 0.00085031067 0.01988149 0.00029401665 0.0011482569 4.000158e-05 1.1083561e-05 1.1184321e-05 2.6096748e-05 2.4081555e-05 2.1663323e-05 9.874446e-06 2.9623336e-05 1.13858405e-05 2.4383835e-05 1.8741295e-05 3.486284e-05 0.002350521 0.0015533107 5.733224e-05 9.34042e-05 8.46381e-06 3.0227893e-06 2.3174719e-06 1.712914e-06 3.2243088e-06 9.370648e-06 2.7205106e-06 1.410635e-06 3.2243088e-06 2.7205106e-06 7.6577335e-06 7.6577335e-06 0.0005123628 0.0009747488 2.0958007e-05 3.2545366e-05 2.6298268e-05 1.6121544e-06 1.0075964e-06 0.0 1.410635e-06 2.2167123e-06 0.0 0.0 0.0 2.0151929e-06 0.0 1.8136736e-06 0.00017350812 0.0005027906 7.859252e-06 7.960012e-06 6.347858e-06 4.937223e-06 4.836463e-06 4.0303858e-06 5.9448193e-06 1.0882042e-05 4.534184e-06 3.123549e-06 6.0455786e-06 7.6577335e-06 1.5516986e-05 1.9849651e-05 6.7508963e-06 0.002310721 5.7433e-05 0.00011516827 4.483804e-05 7.184163e-05 4.4737284e-05 8.020468e-05 5.924667e-05 3.8590944e-05 3.4762077e-05 3.2343847e-05 3.8691705e-05 3.677727e-05 3.8792463e-05 3.677727e-05 5.4410208e-05 0.42713213 0.010807177 0.010771609 0.01074652 0.010976353 0.010758611 0.010831662 0.01084204 0.01072264 0.0106468685 0.010721733 0.010659162 0.010641327 0.010728383 0.010729492 0.010810905 0.10450881 0.0031459178 0.0032223943 0.0030994676 0.0031615354 0.0030494907 0.0031431972 0.00309584 0.00307327 0.0030654108 0.003054025 0.0030490877 0.003033873 0.0030287341 0.0030331677 0.0032881903 0.009042876 0.0003770426 0.0004069682 0.00034268355 0.0005998222 0.00037311297 0.00079348224 0.0005430945 0.00031628454 0.00030681313 0.00030177514 0.00030207742 0.00031295946 0.00029310983 0.00029653564 0.00045533283 0.0015966374 0.0003285772 0.00050138 0.00017794153 0.00024142012 8.14138e-05 0.00044364473 0.0002799103 4.896919e-05 4.534184e-05 4.534184e-05 0.00010922346 6.428466e-05 5.6123125e-05 0.00010851814 0.0006174551 0.0012578834 0.000707232 0.0006377078 0.00024766722 0.0001707876 0.00011405992 0.00022227578 0.00016917544 0.00010569687 6.6501365e-05 0.00010297636 0.00016393594 0.00016544735 0.00013380882 0.00026348646 0.0014556746 0.00083640584 0.0007570072 0.0006974583 0.00021481956 9.6124706e-05 0.00012242298 0.0001305845 0.00012977842 0.000112447764 6.690441e-05 8.756013e-05 0.00010418548 0.00015113947 0.00016695874 0.00019869802 0.0012863984 0.0047165593 0.0007227489 0.0006693463 0.00069755904 0.0023105196 0.0014673627 0.00062853866 0.0012472029 0.003167581 0.0002125021 0.00038046844 0.00077665533 0.0014833835 0.0006265235 0.0015292291 0.0024756645 0.0028617755 0.0005690905 0.00040716975 0.0005694935 0.0011496675 0.0010816548 0.00041109935 0.0009548992 0.0021426538 0.00020151929 0.00020746411 0.00030701465 0.0010205945 0.00052022206 0.00094331184 0.0017163398 0.0050832233 0.0042214263 0.004204297 0.0041622804 0.0041965386 0.004079456 0.00407996 0.0041795103 0.004155731 0.0041898885 0.0038793471 0.0041902913 0.004214776 0.004080161 0.0042481273 0.004313319 2646.0 8.985639 23776.0 0.030787349 0.03621299 0.010136272 0.0069818306 0.007823015 0.0058462317 0.005341521 0.008033311 0.0049209287 0.0049209287 0.0046685734 0.004037685 0.009084791 0.0058041723 0.009295087 0.0054256395 0.0075706593 0.0055938764 0.0058041723 0.0058462317 0.0046685734 0.004794751 0.0054256395 0.004626514 0.0052574025 0.0049209287 0.0058041723 0.0063930014 0.005551817 0.0041638627 0.0044582775 0.008159488 0.019894011 0.013963661 0.0056359353 0.012070996 0.01240747 0.006350942 0.007738896 0.009379206 0.007108008 0.009883917 0.005677995 0.0054256395 0.006519179 0.0060565276 0.0068556527 0.005173284 0.010683042 0.0058462317 0.0062247645 0.009589502 0.010598923 0.0060565276 0.011187753 0.007108008 0.0068556527 0.005215343 0.004205922 0.004626514 0.0041218037 0.0043320996 0.0043320996 0.01236541 0.007065949 0.027759084 0.0088744955 0.025698183 0.018127523 0.051396366 0.007865074 0.009084791 0.008916555 0.024478465 0.0052994615 0.006939771 0.021828735 0.01076716 0.028389974 0.03448856 0.012113055 0.0044582775 0.039745964 0.022039032 0.03772712 0.017496636 0.007738896 0.0058462317 0.00971568 0.01509926 0.0042900406 0.0044582775 0.0043320996 0.005047106 0.006140646 0.0049209287 6.1880875 0.0 0.0 0.0 14.0 4963328.0 12836864.0 0.0 0.0 115.0 0.0 1.0 0.0 0.0 0.0 1443149400.0 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 12.0 0.0 5.0 10.0 5.0 0.0 190464.0 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 44544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3778048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -190464.0 0.0 949248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.763386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.348948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.585224 0.0 4.0993342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44370.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11644140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -190066.0 0.0 948924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -3.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 238108.0 948924.0 11886592.0 0.0 0.0 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 223720.0 0.0 0.0 468.0 196608.0 0.0 0.0 0.0 0.0