Input: 0.09326063 0.009538472 0.0055222 0.0050238003 0.0054083294 0.004851091 0.0034022706 0.0034033088 0.0059783743 0.0035673655 0.003354161 0.0030893863 0.004009003 0.0039300895 0.0030575441 0.0062313816 0.00463581 0.002998359 0.002897987 0.0027522743 0.0037809159 0.004330886 0.0027166249 0.002636327 0.003890979 0.0027522743 0.0026750914 0.0028616453 0.0032610572 0.0029080242 0.0027474286 0.002776156 0.0048881248 0.002861299 0.0030284708 0.0028242653 0.007862949 0.002919792 0.002813882 0.0027304692 0.0032797472 0.0027906925 0.0026785526 0.00314511 0.0034753 0.0027373915 0.0027792708 0.002692051 0.0039913515 0.0029959362 0.0031018462 0.00467942 0.0032084484 0.0031489173 0.0031267663 0.0030115114 0.003721731 0.0036975031 0.0032330223 0.0051484 0.0032994756 0.003650086 0.0029955902 0.0030582363 0.004602583 0.004522632 0.0038200265 0.0031745296 0.005247388 0.0057212138 0.003357276 0.0030343547 0.010765089 0.004093454 0.0027934613 0.0028349948 0.005057373 0.0037546116 0.0028834504 0.0027103948 0.004920659 0.0031246897 0.0029398664 0.0035244478 0.0033707744 0.0034531488 0.0037110015 0.0037587648 0.0030443917 0.002842263 0.0027283926 0.0030277786 0.0036383183 0.0034150768 0.00326348 0.003216409 0.0031215746 0.00354383 0.0027657726 0.0030900785 0.0033344328 0.004093454 0.004093108 0.002767503 0.004186558 0.0032589806 0.003766033 0.0026996653 0.0032423674 0.0027979608 0.003372505 0.0031752218 0.003940473 0.0026560554 0.0036272428 0.0037580726 0.006948523 0.005906383 0.002901102 0.0028567996 0.0039608935 0.0029703241 0.0027190475 0.002726662 0.0032264462 0.0035902087 0.002867183 0.002817343 0.004401839 0.0029658247 0.0027976148 0.005690064 0.0045260927 0.004321887 0.0028187274 0.0027882697 0.003179029 0.007696469 0.0030644662 0.01275765 0.0030142802 0.0069616754 0.0026688615 0.002711087 0.002885527 0.0026553632 0.00268236 0.002751928 0.0029080242 0.0027270082 0.0027062416 0.002655017 0.002901102 0.002764388 0.0027069338 0.0026356347 0.0028900264 0.002639442 0.0026283665 0.0026089842 0.0028834504 0.0033275106 0.0026107149 0.0026820137 0.0027955382 0.002698973 0.0026262898 0.0026120993 0.0027747715 0.0026380576 0.002577488 0.0026778604 0.0027460442 0.0026089842 0.0026100227 0.002636327 0.0028744515 0.0026512097 0.0026771682 0.0026664387 0.0028529924 0.0027038187 0.0028574918 0.003181798 0.0033579683 0.002832572 0.0036912733 0.002773041 0.0029737852 0.0027245854 0.002857838 0.0027415447 0.0052892673 0.003465955 0.00326971 0.003796837 0.0034676855 0.0028747974 0.00342546 0.0038570603 0.003588132 0.0032804394 0.0028097287 0.0031302273 0.007978204 0.0027792708 0.0028419169 0.003054429 0.003116383 0.002879989 0.0028754896 0.0027228547 0.002820112 0.0026525944 0.002767503 0.0027277004 0.0032042952 0.0026726688 0.0026214442 0.0028156126 0.0028464163 0.002545646 0.0025691816 0.0026210982 0.0032001417 0.0026432492 0.0025788727 0.002623867 0.0029644403 0.0026044848 0.0025941015 0.0026688615 0.0067121293 0.0034894906 0.0026726688 0.0038802498 0.0035549055 0.0025968703 0.0026010238 0.0026245592 0.0031544552 0.002664708 0.0026262898 0.002754351 0.0029114853 0.0026709381 0.0030526984 0.00339431 0.0035289472 0.003050968 0.0028806813 0.0034669933 0.004353037 0.0038944404 0.004167176 0.03505723 0.0052755154 7.272274e-06 7.4454233e-06 1.108156e-05 1.7314937e-06 1.5583444e-06 3.636137e-06 5.194481e-07 1.7314937e-07 1.5583444e-06 6.925975e-07 1.7314937e-07 1.5583444e-06 5.194481e-07 6.925975e-07 5.021332e-06 0.0037332738 1.4544548e-05 1.40250995e-05 1.0735262e-05 6.925975e-06 1.0735262e-05 3.307153e-05 4.5018837e-06 2.77039e-06 3.636137e-06 2.4240912e-06 2.0777925e-06 3.8092865e-06 1.385195e-06 2.0777925e-06 5.4715205e-05 0.0032242145 1.108156e-05 1.0215814e-05 9.8695145e-06 8.31117e-06 1.4371399e-05 3.601507e-05 1.5410295e-05 9.8695145e-06 3.4629875e-06 3.4629875e-06 3.4629875e-06 1.8180684e-05 2.5972406e-06 7.272274e-06 0.0001683012 0.0029876926 1.12547095e-05 1.679549e-05 3.064744e-05 5.1598516e-05 1.5237146e-05 2.4067764e-05 2.233627e-05 1.4544548e-05 9.696365e-06 5.021332e-06 1.1427859e-05 1.6102893e-05 7.4454233e-06 7.0991246e-06 0.00031513188 0.0040148147 5.7485595e-05 2.787705e-05 4.0516956e-05 2.9781693e-05 6.0948583e-05 4.7962378e-05 4.484569e-05 3.7746566e-05 2.1816822e-05 3.393728e-05 2.510666e-05 3.4629877e-05 1.40250995e-05 2.0951074e-05 0.00045209302 0.003848072 0.00011168135 4.6230885e-05 7.341534e-05 6.354582e-05 6.493102e-05 4.8481827e-05 6.94329e-05 6.371897e-05 4.2594747e-05 3.2032636e-05 3.843916e-05 4.8828126e-05 1.921958e-05 3.601507e-05 0.00035789976 0.0039171586 8.2592254e-05 7.9648715e-05 3.8092865e-05 0.00012795739 5.0905917e-05 0.00011531749 0.000104409075 8.172651e-05 7.982186e-05 5.4542055e-05 7.774407e-05 2.510666e-05 2.6318705e-05 4.484569e-05 0.00041296126 0.005125222 0.0001248407 0.00015704648 0.00015410295 0.00021124224 0.00010873781 0.00019721714 0.00019133007 0.00012362866 0.000121377714 9.280807e-05 0.00010285073 6.752826e-05 5.5061504e-05 7.4107935e-05 0.00089431653 0.0035000416 0.00021955342 0.00036673038 0.00013609542 0.00023132758 0.00013782691 0.0007923316 0.00055875303 9.488586e-05 0.000102158134 7.203014e-05 0.00012916944 7.237644e-05 4.8481827e-05 4.415309e-05 0.0005862838 0.0068951547 0.00031028368 0.00037088597 0.0004874155 0.00062541553 0.0004908785 0.002157095 0.001489431 0.00022976923 0.00015635388 0.00013090092 0.00027063247 0.00039252965 0.0001655308 8.588209e-05 0.0009900682 0.00679871 0.00046836908 0.0002972975 0.000723245 0.0005951144 0.00037313692 0.0012884046 0.0010792401 0.00051737035 0.00021816822 0.00018786707 0.00038144807 0.00034768396 0.00021643672 0.00011237395 0.0012887508 0.016074669 0.0008030668 0.0017018853 0.0051806294 0.0018819607 0.0012174133 0.0012626053 0.0013266705 0.0024313636 0.002020307 0.0012096216 0.0010970745 0.001498781 0.0011391498 0.0009438373 0.008792525 0.0120965615 0.0010385499 0.0015803344 0.0011050394 0.0018319205 0.0014201712 0.001386234 0.0012376718 0.0017709718 0.001233343 0.0011794936 0.0014135916 0.0014006053 0.00079648715 0.00083388743 0.00868223 0.020850822 0.003687216 0.004700486 0.0040077157 0.010937153 0.0043228474 0.0031172084 0.0048433347 0.01193484 0.00095959386 0.0010511898 0.0021392605 0.0070923716 0.0016824926 0.0037363905 0.008554099 0.027551703 0.0061656763 0.0064189937 0.0064188205 0.01422526 0.008278272 0.0052320547 0.008921002 0.017407918 0.0013768838 0.0019674965 0.0031457779 0.010088549 0.0028238932 0.006405488 0.014706962 0.03766657 0.03750675 0.03771557 0.037644405 0.037549693 0.037414465 0.03756978 0.037562333 0.037656527 0.037397668 0.03748338 0.037578955 0.037804917 0.03746468 0.03765826 0.03738988 13011.0 7.736531 100660.0 0.020554341 0.0069938404 0.010480827 0.0054242 0.016550764 0.005990463 0.005483807 0.006069938 0.007043513 0.0058613154 0.0053645936 0.0057719056 0.006367971 0.0066063977 0.008096563 0.006815021 0.014315518 0.010719253 0.010033777 0.011672959 0.009338367 0.009874826 0.009884761 0.009149613 0.010480827 0.012696205 0.009676138 0.0112855155 0.0104510235 0.009099941 0.009109875 0.008662825 0.01199086 0.021766342 0.007838268 0.0091893505 0.01629247 0.008176038 0.007113054 0.007023644 0.013630042 0.008861514 0.0055930857 0.0060103317 0.010987483 0.0069044307 0.0062984303 0.006586529 0.013898271 0.006934234 0.009268826 0.012894894 0.013858533 0.008960858 0.0112855155 0.0150606 0.006218955 0.0065368568 0.0070335786 0.0058613154 0.008662825 0.007689251 0.007629644 0.009388039 0.0063481024 0.017693225 0.008156169 0.016590502 0.012666401 0.035406318 0.00981522 0.0102125965 0.012457779 0.020852374 0.007848202 0.0064772503 0.015825551 0.01042122 0.019143652 0.02041526 0.011861713 0.0055434136 0.022948539 0.017017683 0.03139281 0.012189549 0.007142857 0.008881383 0.0075303 0.009407908 0.0060003973 0.0055632824 0.006288496 0.005354659 0.005275184 0.005901053 6.427283 0.0 42.0 0.0 54.0 2889247.0 1175552.0 1.0 0.0 123.0 1.0 1.0 0.0 0.0 0.0 1386590600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 132608.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132608.0 0.0 968192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.042846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9851456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2456498 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.659817 0.0 6.2016077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13490.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31762.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132344.0 0.0 968120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 168132.0 968120.0 188416.0 0.0 0.0 7704.0 138607200.0 6380.0 1159168.0 28.0 139872.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 160640.0 0.0 0.0 508.0 139264.0 0.0 0.0 0.0 0.0


Input: 0.0074540693 0.004010031 0.0038926557 0.0038784123 0.0039204466 0.0038748246 0.0039077024 0.0038852128 0.0038951188 0.0040173135 0.0038881043 0.0038698982 0.00392125 0.0038880508 0.0038816787 0.0038930306 0.0038854268 0.0038906746 0.0038626695 0.0038814645 0.003865561 0.0038808219 0.0038911565 0.003833165 0.0038755208 0.003871933 0.0038914243 0.0038631514 0.0039011696 0.0038852661 0.003911076 0.0038812503 0.0039324947 0.0038721473 0.0038734858 0.003861759 0.0038985994 0.0038973144 0.00387038 0.0038903533 0.003884463 0.0039054 0.003871933 0.0038730039 0.003883767 0.0038712905 0.0038989207 0.0038662036 0.003915681 0.0038551728 0.0038921202 0.0038983317 0.0038730574 0.0038745569 0.0038728432 0.0039056677 0.003870862 0.003877984 0.0039047573 0.003878198 0.0038709156 0.003868881 0.0038877295 0.0038494433 0.0040034982 0.0038517457 0.0038698446 0.003905882 0.0038860159 0.0038929235 0.0039038472 0.0039179297 0.003888586 0.003875842 0.003906899 0.0038623482 0.003884356 0.0039059354 0.0038897106 0.0038879972 0.003906096 0.0038791618 0.0039375816 0.0039107013 0.0038985459 0.0039008483 0.0039007415 0.0038934054 0.0038997775 0.0039040076 0.0038847844 0.003900313 0.003890728 0.003894744 0.0038961899 0.0039050786 0.003921464 0.003907167 0.003874289 0.00386283 0.0038938874 0.0039311023 0.0039010625 0.003923124 0.003876538 0.003910273 0.0039061496 0.0038785194 0.003909041 0.0038794295 0.003887194 0.0038989207 0.0038838205 0.003863205 0.0038938874 0.0038861765 0.0039267116 0.003908934 0.0038637938 0.003878573 0.0038951188 0.0038886932 0.003890032 0.0039074346 0.0038936196 0.0038729503 0.0038617055 0.0038778768 0.0039153597 0.0039080773 0.0038956008 0.003892977 0.003891799 0.0038876224 0.003884463 0.0038913172 0.0038957614 0.003926926 0.0038481045 0.00398647 0.003868988 0.0038856945 0.003909309 0.0038604203 0.0038847309 0.0038655074 0.0038913707 0.0038756279 0.003861759 0.0038737536 0.0038932983 0.0039092554 0.0038985994 0.003901598 0.0038625624 0.0038836598 0.003879269 0.003868024 0.003875735 0.0038952795 0.0039041683 0.0038766451 0.0038894964 0.0038856945 0.0039216247 0.0038696842 0.0038642758 0.003875735 0.003891906 0.0038849986 0.003909684 0.0038677563 0.0038498717 0.0038761096 0.00387038 0.0038713976 0.0038899248 0.0038634725 0.0038917453 0.0038825353 0.003874664 0.0038698446 0.0038808754 0.003886123 0.0038583856 0.003880929 0.0038864443 0.0038448381 0.0038473015 0.0038779303 0.0038716653 0.0039003666 0.0039555733 0.003887783 0.0039080237 0.0039142887 0.0039298176 0.0038878366 0.0038913707 0.003892495 0.0038716118 0.0038932448 0.0038594566 0.003878198 0.0038444635 0.0039072204 0.0038734323 0.0038688274 0.00390872 0.0038724686 0.003890621 0.0038836063 0.0038769129 0.003894048 0.0038909959 0.0038775555 0.0038978497 0.0038717724 0.003879858 0.0038905675 0.0038585463 0.0038643829 0.003901973 0.003878573 0.003918465 0.0038790547 0.0038770735 0.0038846773 0.003879376 0.0038956543 0.0038937803 0.0038735394 0.0039302995 0.0038891751 0.003948666 0.0039412766 0.0038836063 0.0038625088 0.0038725757 0.0038766987 0.003918733 0.0038771806 0.0038444635 0.00393378 0.003915788 0.0038885325 0.0038874082 0.0038718795 0.0038793224 0.0038927628 0.0038982246 0.0038664714 0.003876056 0.003921089 0.0038803935 0.00466716 0.00043272172 4.0163516e-07 2.409811e-07 2.6775677e-07 9.1037305e-07 1.2584568e-06 1.6065407e-07 1.6065407e-07 1.8742973e-07 1.0710271e-07 1.3387839e-07 8.0327034e-08 1.3387839e-07 1.3387839e-07 1.8742973e-07 1.6065406e-06 0.00010426449 7.229433e-07 2.6775677e-07 1.0710271e-07 5.890649e-07 1.2049055e-06 5.6228924e-07 0.0 2.6775677e-08 6.158406e-07 5.3551354e-08 2.6775677e-08 2.6775677e-08 8.0327034e-08 5.6228924e-07 5.6228924e-07 0.00020111211 1.3387838e-06 9.639244e-07 5.890649e-07 2.570465e-06 1.579765e-06 2.9453244e-07 2.6775677e-07 7.229433e-07 7.229433e-07 6.158406e-07 7.7649463e-07 5.0873786e-07 4.2841083e-07 1.0174757e-06 5.8370974e-06 0.00018568932 2.008176e-06 1.0710271e-06 1.0978027e-06 1.2049055e-06 1.8207461e-06 1.6333163e-06 9.639244e-07 8.30046e-07 1.2584568e-06 8.5682166e-07 2.1152784e-06 4.5518652e-07 1.3387839e-07 1.2316812e-06 1.6975779e-05 0.00022097967 2.490138e-06 1.660092e-06 9.907001e-07 3.7218192e-06 5.9174245e-06 2.2223812e-06 9.639244e-07 4.2841083e-07 1.6065406e-06 1.9278489e-06 4.016352e-06 6.693919e-07 6.693919e-07 3.400511e-06 2.2518345e-05 0.0002746649 4.417987e-06 4.5250895e-06 4.6857435e-06 3.3469596e-06 1.8475217e-06 7.068779e-06 4.0431273e-06 2.6775676e-06 1.7136433e-06 2.2759325e-06 4.980276e-06 2.008176e-06 9.1037305e-07 3.2934083e-06 6.1396626e-05 0.00019345427 2.570465e-06 6.31906e-06 3.909249e-06 4.391211e-06 1.0496065e-05 3.2130813e-06 1.3655596e-06 1.1781298e-06 2.5972406e-06 3.0256515e-06 4.578641e-06 2.650792e-06 1.5529893e-06 9.3447115e-06 2.353582e-05 0.00029541604 4.230557e-06 9.47859e-06 1.3334287e-05 1.461952e-05 2.3321614e-05 2.4928155e-05 1.1647419e-05 6.211957e-06 3.4808381e-06 5.729995e-06 2.7043434e-06 6.1584055e-06 3.1059785e-06 3.7512724e-05 3.164885e-05 0.0003061531 4.899949e-06 1.9439141e-05 9.023403e-06 1.1861625e-05 1.5770875e-05 3.6709454e-05 1.9653347e-05 7.149106e-06 6.292284e-06 1.1299336e-05 4.096679e-06 5.3551353e-06 9.29116e-06 3.834277e-05 4.3028514e-05 0.00045272315 6.31906e-06 3.0524272e-05 2.0135309e-05 3.0390394e-05 2.6427593e-05 2.9828105e-05 1.4673071e-05 1.9733674e-05 2.3134186e-05 2.0724374e-05 9.210833e-06 1.9171384e-05 2.4847828e-05 6.82512e-05 0.00013612755 0.00040800776 6.9349003e-06 1.6708023e-05 1.1433214e-05 4.0029638e-05 1.7430966e-05 3.103301e-05 2.3053859e-05 2.966745e-05 2.7096985e-05 1.839489e-05 6.5064896e-06 3.5129688e-05 3.9413797e-05 4.471538e-05 0.00012182933 0.00019808646 3.320184e-06 1.3012979e-05 8.782422e-06 3.146142e-05 1.2290036e-05 1.1433214e-05 1.21829335e-05 2.391068e-05 1.2879101e-05 1.1433214e-05 6.6671437e-06 2.8596423e-05 1.9680123e-05 3.2050484e-05 6.774246e-05 0.0001376002 4.417987e-06 1.6627695e-05 2.5999183e-05 2.3642922e-05 2.5918856e-05 2.0054982e-05 1.858232e-05 1.23435875e-05 1.8448442e-05 1.78326e-05 1.06567195e-05 1.78326e-05 3.301441e-05 2.348227e-05 8.70745e-05 0.0003079203 2.929259e-05 4.2760756e-05 6.206602e-05 8.8332956e-05 9.842739e-05 7.10091e-05 6.286929e-05 9.007338e-05 3.3148288e-05 5.9174246e-05 4.136842e-05 6.92419e-05 7.960409e-05 7.612325e-05 0.00021433929 0.00041529076 6.929545e-05 9.09302e-05 0.00012049055 0.00014084006 0.00016421523 0.0001669999 0.00012954073 0.00019851487 4.792846e-05 5.9790087e-05 7.446316e-05 0.00012517629 8.640511e-05 0.00013449423 0.00027876158 0.061917253 0.06193032 0.061897576 0.06181398 0.061936397 0.061996806 0.06195276 0.061892863 0.0619568 0.06194237 0.061898377 0.06183757 0.061952867 0.061842684 0.061835777 0.061908875 86308.0 5.671896 489530.0 0.011280208 0.010146467 0.010338488 0.010313975 0.010365044 0.010203665 0.010007558 0.010146467 0.010363001 0.010085184 0.010197536 0.010275162 0.010544809 0.010338488 0.01068576 0.010248606 0.01105346 0.010608135 0.010342574 0.010269034 0.010459011 0.010289461 0.010191408 0.0103241885 0.010140339 0.010173023 0.010393643 0.01017098 0.010115826 0.010438584 0.010264948 0.009899291 0.010011644 0.010475354 0.010164852 0.010655118 0.010279248 0.010240435 0.0103241885 0.010387515 0.010083141 0.01033236 0.010344616 0.009931976 0.010448798 0.010287419 0.010156681 0.010448798 0.010297633 0.01017098 0.011178069 0.01041407 0.010424284 0.01053868 0.010309889 0.01026699 0.010299675 0.010164852 0.010350744 0.011176026 0.010330317 0.010173023 0.010557065 0.010348702 0.010342574 0.01064899 0.010289461 0.010706187 0.010577492 0.011731661 0.0103977285 0.010757257 0.010602006 0.011171941 0.010242477 0.0100872265 0.010873695 0.010689845 0.010681674 0.010775642 0.010469225 0.010187322 0.011030989 0.010969706 0.011366004 0.0105162095 0.010173023 0.010224093 0.010426328 0.010273119 0.010162809 0.010542765 0.010287419 0.010213879 0.0100872265 0.010246563 6.5842743 1.0 41.0 0.0 276.0 18675168.0 192512.0 0.0 0.0 8.0 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 37888.0 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 120320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.11619 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5743732 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.489578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3668.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37504.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 120312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 120312.0 69632.0 0.0 0.0 15528.0 18659640.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.022766165 0.004696029 0.004268358 0.0042629894 0.0046542757 0.0038728965 0.0038728965 0.003935526 0.0046184873 0.0038198105 0.003694551 0.0036140273 0.0039158426 0.0037201995 0.0036301322 0.004156817 0.0040458734 0.003705884 0.0036748676 0.003631325 0.0039271754 0.0037619525 0.0038681247 0.003585993 0.0038466516 0.0035406612 0.0035788354 0.0037040948 0.0038854224 0.003658763 0.0035114342 0.0036271499 0.0044926316 0.0035728707 0.003655184 0.0036015015 0.0048033935 0.0037744786 0.0035513977 0.0035525907 0.0037231818 0.0034631197 0.0035173988 0.0037589702 0.0036563769 0.0035060658 0.003690376 0.003502487 0.0039397012 0.003893773 0.0037458478 0.00447772 0.0038764754 0.0037547948 0.0037464444 0.003721989 0.0038120563 0.0037661279 0.0035698884 0.0038794577 0.0037494267 0.0036635345 0.0036575699 0.0037500232 0.004479509 0.00402619 0.0048612515 0.004195588 0.004153835 0.0047515007 0.0038114598 0.0036486227 0.00390272 0.0036885864 0.003668903 0.0036247638 0.0037846186 0.0038705105 0.0035478189 0.0036056768 0.004582699 0.0038120563 0.0037225853 0.0041949917 0.003930158 0.0041383267 0.003887212 0.0037118488 0.0037279536 0.0037458478 0.0036516052 0.0038782647 0.0036533945 0.003788794 0.0036408687 0.003730936 0.0035096447 0.004072118 0.0036080626 0.0036444475 0.0041454844 0.004270147 0.0038705105 0.003658763 0.0039838403 0.0038943696 0.0037917763 0.003611045 0.0040160497 0.0036927618 0.0038890012 0.0040255934 0.0037547948 0.003550205 0.0039575957 0.004072118 0.0047753593 0.004101942 0.0036748676 0.0036850076 0.003590765 0.0036098522 0.00354424 0.003655184 0.003705884 0.0036700957 0.0036462368 0.0036104484 0.003998752 0.003679043 0.0035376789 0.004644732 0.0038221963 0.0039766827 0.0036492192 0.003690376 0.003934333 0.005271625 0.0037357078 0.00951672 0.0035215742 0.004500386 0.0034989081 0.0036003084 0.0038567916 0.0037363044 0.0035937473 0.0036617452 0.0036384827 0.0035573624 0.0035877826 0.0034589444 0.0036617452 0.0035072588 0.0034690846 0.003570485 0.0035531872 0.0035305212 0.003589572 0.003631325 0.0037446548 0.0037064806 0.0034476116 0.0034136125 0.0035651166 0.0034726635 0.0034929435 0.0035317142 0.003525153 0.0034398574 0.003590765 0.0034732597 0.0035746603 0.003393929 0.0035078553 0.0035382754 0.0037166206 0.0034643128 0.0035191881 0.0035418542 0.0035752566 0.0035215742 0.0035991156 0.003577046 0.0039397012 0.0038311435 0.0038215998 0.0036015015 0.0035991156 0.003481014 0.0036116415 0.0035382754 0.004688871 0.0036885864 0.0037577772 0.004511122 0.0038227928 0.0035090481 0.003914053 0.0037380937 0.0037380937 0.0036838145 0.0034899611 0.0034565586 0.0035925542 0.0034726635 0.003545433 0.0036074661 0.0037899867 0.0035317142 0.0038866154 0.0036015015 0.0035269423 0.0034983116 0.0035955368 0.003621185 0.003956999 0.0035525907 0.0035549765 0.0037255678 0.0036694994 0.0035967296 0.0035281354 0.0036486227 0.0037243748 0.0036420615 0.003684411 0.0036605522 0.0036700957 0.0036647276 0.0035478189 0.0035937473 0.0067317896 0.0038460551 0.0035525907 0.0039814543 0.0038448623 0.0035293282 0.003655184 0.003623571 0.0039814543 0.003566906 0.0036468334 0.003532907 0.003788794 0.0035233635 0.0037595667 0.0036086591 0.004234955 0.0036647276 0.0037100594 0.0036820252 0.004101942 0.003794162 0.004839182 0.009982565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053573644 7.16305e-06 5.670748e-06 5.670748e-06 5.073827e-06 1.9996849e-05 5.3722874e-06 4.775367e-06 4.775367e-06 2.089223e-06 2.6861437e-06 2.089223e-06 3.2830646e-06 2.089223e-06 2.6861437e-06 2.089223e-06 0.0010619222 1.5519941e-05 1.1938417e-05 1.1938417e-05 1.0744575e-05 4.178446e-05 1.1938417e-05 1.0147654e-05 1.0147654e-05 4.775367e-06 5.3722874e-06 4.775367e-06 6.5661293e-06 4.775367e-06 5.3722874e-06 4.775367e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021635396 0.00033666336 5.0439812e-05 3.7009093e-05 6.8347435e-05 3.2532185e-05 8.2971994e-05 4.4470602e-05 3.312911e-05 1.9101468e-05 2.895066e-05 6.476591e-05 2.6264517e-05 1.7609165e-05 1.8504546e-05 3.1935266e-05 0.00047156747 7.16305e-06 0.00030144502 1.6415323e-05 7.819663e-05 5.2529034e-05 0.0010192423 0.0004787305 4.178446e-06 1.7907626e-06 1.4923021e-06 1.7907626e-06 2.9846042e-06 1.7907626e-06 1.1938417e-06 4.4769063e-06 0.0007998739 5.670748e-06 2.4175295e-05 1.8504546e-05 0.0002465283 0.00012326415 0.00081509544 0.00037426938 8.058431e-06 3.8799853e-06 1.2833798e-05 8.953813e-07 3.8799853e-06 1.4923021e-06 1.7907626e-06 4.775367e-06 0.0007810709 2.1787611e-05 0.00011759341 0.00016385477 0.00010267038 4.29783e-05 0.00028413432 0.00014833483 5.0141352e-05 1.0147654e-05 1.7907625e-05 1.0147654e-05 1.2833798e-05 1.402764e-05 1.4923021e-05 4.1187537e-05 0.0019710327 4.5664445e-05 0.0003521833 0.00032562032 0.00024443908 0.00014415638 0.0008231538 0.00041903844 0.00010505807 2.835374e-05 2.775682e-05 0.000100282705 0.0001116242 4.0292158e-05 3.9098315e-05 0.00011222112 0.0016057171 0.0002247407 0.00016564553 0.0017462919 0.00016922706 0.00015340866 0.00017519627 0.00021727919 0.00023727604 0.00017071936 0.00014236562 0.00014982713 0.00014296254 0.000143261 0.00016952552 0.0004990258 0.0009255258 0.00010863959 4.5067525e-05 8.953812e-05 0.00019191005 7.043666e-05 6.595975e-05 4.178446e-05 0.0003423341 3.7009093e-05 3.8202936e-05 0.00017758395 8.2971994e-05 9.4611954e-05 0.00024861752 0.0004960412 0.00725617 0.0013848564 0.0014505177 0.0009419411 0.0025685504 0.0018071779 0.0011245989 0.0010562515 0.004860428 0.00051096425 0.00038143242 0.0011138543 0.0013314319 0.00080852926 0.0018029994 0.003385138 0.009919332 0.001748978 0.0019002975 0.0019301436 0.004236347 0.0044425833 0.0017224151 0.0022599422 0.007652824 0.0011425065 0.0008264369 0.0012335369 0.0031636804 0.0015884064 0.0038301426 0.0068034055 0.05578882 0.05565332 0.05541813 0.05573838 0.055716593 0.0548812 0.05556378 0.055556618 0.055291884 0.05569301 0.054945968 0.055088334 0.055346202 0.055574227 0.055834185 0.056051165 8196.0 6.827355 55957.0 0.02253516 0.0077559557 0.009614525 0.0076129884 0.009793234 0.008792466 0.008846078 0.0077559557 0.008149114 0.007827439 0.0077559557 0.008131243 0.008202727 0.008006148 0.0116339335 0.008435048 0.010293619 0.01052594 0.010311489 0.009954072 0.009954072 0.009811105 0.009882589 0.009471559 0.009882589 0.009971943 0.009257108 0.009954072 0.0086852405 0.009042658 0.008953303 0.009435817 0.008452919 0.00909627 0.009435817 0.0112050325 0.009864718 0.00909627 0.009668138 0.008917562 0.008149114 0.010186393 0.008899691 0.008613757 0.008435048 0.009060529 0.008506532 0.0085780155 0.009560913 0.009167754 0.009614525 0.010418714 0.009239237 0.008238469 0.009078399 0.008667369 0.007827439 0.00847079 0.008917562 0.008613757 0.008899691 0.008166986 0.0076666013 0.007881052 0.007541505 0.01881802 0.009739622 0.013295923 0.013510374 0.032346267 0.010079168 0.01052594 0.011598191 0.019943886 0.0074878926 0.009328592 0.019497113 0.011258645 0.01860357 0.018871633 0.0105795525 0.0076666013 0.020086853 0.017513448 0.024000572 0.01156245 0.008863949 0.010919099 0.009149883 0.009864718 0.007684472 0.0073627965 0.007916793 0.007416409 0.0069160247 0.0072198296 6.4973536 2.0 4.0 0.0 25.0 1676523.0 208896.0 0.0 0.0 22.0 1.0 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 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 4.0 0.0 4.0 0.0 148992.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148992.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.751765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8976884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6017766 0.0 0.0 0.0 0.0 0.0 0.0 -4.9370193 4.890763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -6276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 4341.0 0.0 0.0 0.0 0.0 0.0 -10388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148684.0 0.0 0.0 0.0 0.0 0.0 0.0 -6040.0 7388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6040.0 176128.0 7388.0 200704.0 0.0 0.0 0.0 0.0 6276.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.025876084 0.004651373 0.0041433345 0.0042788116 0.0041433345 0.00433526 0.0039739884 0.0041884934 0.0041884934 0.003951409 0.0040191473 0.0039739884 0.00347724 0.0036804553 0.0035901372 0.0041997833 0.003770773 0.003770773 0.003386922 0.003646586 0.0038949603 0.003601427 0.003341763 0.0035788475 0.0034207911 0.0035449783 0.003996568 0.0038046422 0.004075596 0.0034885297 0.0034207911 0.0033191836 0.0040981756 0.004064306 0.0034207911 0.0040530167 0.006604498 0.003996568 0.0038949603 0.004030437 0.003962699 0.0044481577 0.0035901372 0.0037143244 0.003962699 0.0037030347 0.0041546244 0.003386922 0.004132045 0.0037256142 0.003815932 0.004075596 0.004086886 0.0038498014 0.004425578 0.0036127167 0.0035449783 0.0043126806 0.00391754 0.0036240064 0.003556268 0.0036240064 0.003827222 0.0036578758 0.0039739884 0.0036804553 0.0037143244 0.00391754 0.00476427 0.003646586 0.00391754 0.0036352961 0.004470737 0.003815932 0.003251445 0.0038385116 0.004165914 0.003691745 0.0037594833 0.003770773 0.00390625 0.0034546603 0.004165914 0.003736904 0.00390625 0.0036352961 0.0037933525 0.0037820628 0.0039288295 0.00391754 0.0039852783 0.0035449783 0.0036127167 0.0036804553 0.0035336886 0.0037594833 0.003996568 0.0036240064 0.004301391 0.004120755 0.0040191473 0.0037594833 0.0040981756 0.0038949603 0.0035449783 0.0038723808 0.0039739884 0.0034659503 0.0039401194 0.003736904 0.00390625 0.0032627347 0.0034998194 0.004165914 0.004244942 0.0041546244 0.004165914 0.0036691655 0.0035901372 0.0039288295 0.003861091 0.003770773 0.003341763 0.0034207911 0.0038723808 0.004075596 0.0037820628 0.0037143244 0.0038836705 0.0038836705 0.003601427 0.00347724 0.003951409 0.0036240064 0.0033756322 0.003206286 0.004064306 0.0047416906 0.003951409 0.0048771678 0.0035901372 0.004290101 0.0035901372 0.003601427 0.0033756322 0.0041546244 0.0038498014 0.0034207911 0.0035788475 0.0035336886 0.0038498014 0.0034433706 0.0035675578 0.00391754 0.0036691655 0.003601427 0.003827222 0.0037256142 0.0037933525 0.0036578758 0.003736904 0.0037481936 0.0034320808 0.0036578758 0.004132045 0.0037030347 0.0035223989 0.0035111092 0.003601427 0.0034659503 0.0035901372 0.00390625 0.0037256142 0.003386922 0.0038498014 0.004120755 0.004064306 0.003646586 0.0037594833 0.0037594833 0.0036578758 0.003770773 0.0041546244 0.003861091 0.004132045 0.004064306 0.0033756322 0.0037030347 0.003691745 0.003996568 0.003646586 0.0035336886 0.0037030347 0.004685242 0.003815932 0.003815932 0.0034998194 0.0042562317 0.004030437 0.0040417267 0.003827222 0.0038046422 0.003815932 0.0036127167 0.0035901372 0.003736904 0.0031837067 0.00391754 0.0036691655 0.0037594833 0.0034885297 0.0036578758 0.0035901372 0.003736904 0.0038385116 0.0040191473 0.0037933525 0.004075596 0.0035223989 0.0034998194 0.003827222 0.0036804553 0.0036578758 0.0037594833 0.0036691655 0.0035223989 0.0035336886 0.0039401194 0.0035336886 0.003556268 0.0037933525 0.0039852783 0.0040417267 0.0038723808 0.004064306 0.0037143244 0.003996568 0.003861091 0.003827222 0.003736904 0.003827222 0.0037594833 0.003736904 0.003951409 0.0037820628 0.003770773 0.0038723808 0.0039288295 0.0036578758 0.0037481936 0.0035336886 0.0037143244 0.003815932 0.0037933525 0.0035788475 0.0046400833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009886259 0.0007123162 0.0016831342 0.000792739 0.0011776194 0.0008272059 0.0009248621 0.0011086856 0.0016084559 0.00044806986 0.00048828125 0.0005284927 0.0012120864 0.00050551473 0.00068359374 0.0009420956 0.0031192554 0.00024126838 0.0013844209 0.00033892464 0.0009420956 0.00031020222 0.00065487134 0.00050551473 0.0016199448 9.765625e-05 0.00010340074 0.00026999082 0.0010225184 0.00018956802 0.00049402576 0.0004710478 0.0025735295 0.00037913604 0.0010340074 0.00052274816 0.00091337314 0.00049402576 0.00071806065 0.0006261489 0.0012350644 0.00029871325 0.00026424634 0.00037913604 0.00085018383 0.00036764707 0.0005457261 0.0005629596 0.05986328 0.057462085 0.06155216 0.061046645 0.059576057 0.059375 0.0596335 0.059386488 0.0578642 0.059070542 0.059139475 0.06060432 0.05909352 0.059495635 0.059828814 0.05994945 426.0 5.892019 2510.0 0.009163347 0.015537849 0.005976096 0.0071713147 0.019521913 0.00876494 0.00876494 0.011155378 0.011553785 0.015139442 0.009163347 0.011952192 0.00996016 0.00876494 0.012350597 0.009561753 0.01314741 0.00876494 0.011155378 0.011553785 0.011155378 0.0139442235 0.011155378 0.007968128 0.0103585655 0.011952192 0.011155378 0.009561753 0.009561753 0.009561753 0.010756972 0.009561753 0.008366534 0.009163347 0.011155378 0.011155378 0.01314741 0.012749004 0.009163347 0.0071713147 0.016733067 0.01314741 0.00876494 0.007569721 0.009561753 0.008366534 0.005976096 0.0139442235 0.011155378 0.006374502 0.011952192 0.012350597 0.009163347 0.00438247 0.009561753 0.00876494 0.008366534 0.009561753 0.008366534 0.008366534 0.009163347 0.007968128 0.01314741 0.00996016 0.010756972 0.009561753 0.011155378 0.0139442235 0.00996016 0.014342629 0.008366534 0.0071713147 0.011952192 0.012749004 0.0103585655 0.0071713147 0.010756972 0.009163347 0.011553785 0.0103585655 0.0067729084 0.012350597 0.015537849 0.010756972 0.01752988 0.009561753 0.006374502 0.00876494 0.012350597 0.0103585655 0.011155378 0.009561753 0.00996016 0.011952192 0.009163347 0.007968128 6.5421476 0.0 0.0 0.0 2.0 88576.0 466944.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1086264800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 90112.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7696759 0.0 0.0 0.0 0.0 -7.9857717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -90112.0 0.0 0.0 0.0 0.0 0.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 462848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16568507 0.027755212 0.015592563 0.010492824 0.01475765 0.008507085 0.014893041 0.0055284775 0.008168607 0.006735716 0.008947107 0.0036217168 0.004163282 0.0050094775 0.0051223035 0.00424226 0.00796552 0.005189999 0.0071306075 0.0042873905 0.004535608 0.012298041 0.0030575865 0.0023693475 0.004106869 0.0040843035 0.00264013 0.001951891 0.003531456 0.004039173 0.0020985648 0.0017262389 0.010684629 0.0028770647 0.0026062822 0.0020308692 0.0038022385 0.0031139995 0.0030011735 0.0065551945 0.009093781 0.0022452387 0.0037232602 0.0019631735 0.0030575865 0.002437043 0.004998195 0.0019406084 0.009556368 0.004355086 0.00289963 0.0035201733 0.001748804 0.002154978 0.0021888257 0.0015005867 0.002211391 0.004016608 0.0015005867 0.0012410867 0.0011733911 0.0016585432 0.0012749345 0.00080106506 0.0021662605 0.00579926 0.002437043 0.002956043 0.0065213465 0.004682282 0.0018277823 0.0010944129 0.025160214 0.0046033035 0.001635978 0.0015118693 0.0064423685 0.0059008035 0.0022226735 0.0013651954 0.004185847 0.0020759997 0.0026514125 0.004964347 0.0034186298 0.0047838255 0.0032945212 0.0022903692 0.002527304 0.0012298041 0.0014780215 0.0018954779 0.0011959564 0.0019067605 0.0026288473 0.0039714775 0.0030011735 0.008055781 0.0027755213 0.005968499 0.005189999 0.01640491 0.0032606733 0.0038586515 0.0021436953 0.010571803 0.0015344345 0.0019067605 0.006115173 0.004930499 0.009488672 0.012083672 0.005686434 0.0009703042 0.009669194 0.009059933 0.014362758 0.005968499 0.002267804 0.0012185215 0.0022790865 0.0038924993 0.0018841954 0.0025949995 0.0011846737 0.002177543 0.0013426302 0.00076721725 0.004535608 0.0034073472 0.0015005867 0.0054607815 0.0012862171 0.0019406084 0.0022226735 0.0005302825 0.001320065 0.005912086 0.0034299125 0.019676866 0.000631826 0.005223847 0.000631826 0.0008461955 0.004366369 0.0023919127 0.0023016518 0.0011282606 0.0010267172 0.0012298041 0.0013651954 0.00095902156 0.0008461955 0.0010492824 0.00064310856 0.0006205434 0.0017375214 0.00076721725 0.0004851521 0.0003610434 0.0020308692 0.0013990432 0.0018052171 0.0011395433 0.0010379999 0.0012749345 0.001376478 0.0012072389 0.000631826 0.0009928694 0.0006543912 0.0007897825 0.000631826 0.000631826 0.0005077173 0.000631826 0.0012185215 0.0008236303 0.0010831302 0.0006769564 0.00057541294 0.0008236303 0.0013877606 0.00071080425 0.0008236303 0.0015682824 0.00094773894 0.00092517375 0.0006205434 0.00064310856 0.0006205434 0.0007559346 0.0033509342 0.0011621085 0.0012298041 0.002752956 0.0024596083 0.0006995216 0.0011056955 0.00089132594 0.0017262389 0.0017036736 0.0025949995 0.0010944129 0.012997563 0.0008349129 0.0027980865 0.0012410867 0.002064717 0.00080106506 0.0017149562 0.00076721725 0.00064310856 0.0006205434 0.001004152 0.00094773894 0.001060565 0.0007897825 0.0011733911 0.000631826 0.000631826 0.0005302825 0.0007220868 0.00051899994 0.0019857388 0.0008349129 0.000688239 0.0007784999 0.0006656738 0.00074465206 0.00071080425 0.00057541294 0.0022903692 0.0013651954 0.00057541294 0.0009928694 0.0024596083 0.00074465206 0.00046258688 0.00064310856 0.0026062822 0.0014441736 0.0008236303 0.00080106506 0.000688239 0.00058669556 0.0008236303 0.0008123477 0.0015344345 0.0012072389 0.001060565 0.0005979782 0.00044002166 0.00057541294 0.0011959564 0.03462632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.033002067 0.0012178309 0.0032628677 0.0005457261 0.005939798 0.0026194854 0.018928079 0.010546875 0.0027975643 0.00028722428 0.00014361214 0.00025850185 0.0018095128 0.00067210477 0.00018956802 0.00013212317 0.051838234 0.0072954963 0.008461627 0.00295841 0.0037913602 0.0043026195 0.01987592 0.014211857 0.0013269761 0.000580193 0.00041360295 0.00037339155 0.00036764707 0.0006318934 0.0005859375 0.0006318934 0.06517693 0.01032284 0.010386029 0.0037856158 0.0026482078 0.0032628677 0.0056410846 0.004773667 0.0027171415 0.0016831342 0.001171875 0.0011374081 0.00083295035 0.00096507353 0.0014705883 0.0016716452 0.048058365 0.006841682 0.00541705 0.0044462318 0.0045266543 0.0048253676 0.017308135 0.01032284 0.0028492648 0.002803309 0.002889476 0.0014188879 0.0016659007 0.0012752757 0.0015337776 0.0014648438 0.023098575 0.0065889247 0.0037741268 0.0024701287 0.001740579 0.00201057 0.0074735754 0.0043428307 0.0021369485 0.00079848344 0.00053423713 0.0007008272 0.00087316177 0.0005974265 0.00087316177 0.0008099724 0.013108916 0.0050723804 0.003705193 0.0025160846 0.0071059284 0.0024126838 0.0056755515 0.0038890166 0.0056985295 0.0008559283 0.00053998164 0.000792739 0.0021943934 0.0005514706 0.0005974265 0.004107307 0.037976794 0.021243107 0.014338235 0.009501379 0.036138557 0.013068704 0.00608341 0.0057157627 0.029067095 0.005824908 0.0030790442 0.0038028492 0.020657169 0.0046702665 0.0054859836 0.03040556 0.030658318 0.010753676 0.0124597885 0.011477482 0.013074448 0.009794347 0.012339154 0.008605239 0.010518152 0.007094439 0.006439568 0.004273897 0.009294577 0.0038660385 0.0042107077 0.0098460475 0.0051183365 0.0021886488 0.0024069394 0.003515625 0.0018669578 0.0022288603 0.004107307 0.002969899 0.0016371784 0.0012810202 0.0014246324 0.0012752757 0.0012810202 0.0012810202 0.0013901654 0.0013212316 790.0 17.86076 14110.0 0.020765414 0.00077958894 0.0007087172 0.0019135365 0.0012048193 0.0006378455 0.0009922041 0.00056697376 0.001771793 0.0010630758 0.0007087172 0.00028348688 0.005457123 0.0031892275 0.020481927 0.005457123 0.0172927 0.014174344 0.007370659 0.0047484054 0.0036853296 0.00411056 0.003047484 0.0031183558 0.0021261517 0.0021970235 0.0021261517 0.00021261517 0.0018426648 0.0039688163 0.001771793 0.00021261517 0.0007087172 0.01814316 0.0031892275 0.010418143 0.005953225 0.008433735 0.0031892275 0.0018426648 0.005457123 0.00864635 0.0003543586 0.0029057406 0.0023387668 0.0065201987 0.0047484054 0.0033309709 0.00864635 0.00042523033 0.0067328135 0.019773211 0.010347271 0.004819277 0.0067328135 0.0067328135 0.00056697376 0.00021261517 0.0014174344 0.003543586 0.0009213324 0.0037562014 0.005953225 0.015095677 0.0011339475 0.04082211 0.0102764 0.02997874 0.024521615 0.08759745 0.013394755 0.018072288 0.0072289156 0.051169384 0.0006378455 0.0068036853 0.027498228 0.020694543 0.04904323 0.050318923 0.01814316 0.0009213324 0.047200568 0.046420977 0.07158044 0.021190645 0.0075124027 0.0042523034 0.00411056 0.015308292 0.002267895 0.0007087172 0.0003543586 0.00056697376 0.00028348688 0.00014174344 5.4614086 2.0 12.0 0.0 2.0 88632.0 90112.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1539963100.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 0.0 512.0 0.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9703813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2357893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6170044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75294.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 134.0 83352.0 0.0 0.0 1340.0 8192.0 2004.0 10220.0 9272.0 79360.0 484.0 86016.0 56.0 82968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 9536.0


Input: 0.16554542 0.010225396 0.01635351 0.008425887 0.009688997 0.0030593802 0.0030899595 0.003588224 0.009332837 0.0021585466 0.002352456 0.002039107 0.0059568696 0.0016994957 0.0015447999 0.004876157 0.008678797 0.0016120747 0.0018275696 0.0010253097 0.0029115197 0.0017066909 0.0011069747 0.00094616297 0.002630189 0.0009983279 0.0010404196 0.0009098274 0.0024229686 0.0008634187 0.0009842973 0.0013170732 0.0053747813 0.0008904005 0.0012181399 0.0009958096 0.004970773 0.0014012565 0.000797583 0.0009220592 0.0019157102 0.00092277874 0.00087349187 0.0013638417 0.0018020268 0.000983218 0.0011220846 0.00065655797 0.004646272 0.0029579285 0.0029845505 0.00975807 0.0037788958 0.0029615262 0.0029939043 0.0026010487 0.0039886343 0.0028730256 0.0035267056 0.0040523116 0.003910567 0.0029161966 0.0028550378 0.0029877883 0.011630249 0.002602128 0.0035673582 0.0063058343 0.0052708113 0.014370165 0.00439624 0.0023844745 0.0035065592 0.0023949076 0.0017966303 0.002379438 0.0049571027 0.0037936459 0.00243556 0.0024488713 0.007228613 0.0025290973 0.0031327708 0.007541962 0.004522515 0.0077196825 0.0051887864 0.0033317169 0.0025593168 0.004267087 0.0037537126 0.004609217 0.0018275696 0.0035238275 0.0038591218 0.0052301586 0.0025729877 0.006319865 0.0018908869 0.0027622203 0.00753081 0.01204505 0.00487112 0.0021927238 0.005037688 0.0058050514 0.0025715486 0.0014275189 0.006459811 0.002588817 0.0064375056 0.0063180663 0.0037706213 0.00079650374 0.006067315 0.00473765 0.013787357 0.00577735 0.0015645867 0.0016829469 0.0027575435 0.0017703681 0.0029622456 0.001315994 0.0020916318 0.001789795 0.0012562742 0.0028705073 0.008033391 0.001122804 0.0007983025 0.0069440445 0.003500803 0.0036601757 0.0010422183 0.0008076562 0.0022675532 0.00855396 0.0009033518 0.040306184 0.0016358186 0.006601915 0.0008044184 0.0009360897 0.0032550883 0.0010181145 0.0012246155 0.0011404322 0.0014476653 0.0011303589 0.00092133967 0.0011591396 0.0015922879 0.0012526766 0.00082348555 0.0011389932 0.002097028 0.0006457652 0.00087241264 0.00069469225 0.0018092219 0.0018639051 0.00071124115 0.0008324795 0.0012850548 0.0012336094 0.0006752654 0.00071951555 0.0014206835 0.0007759975 0.00078786956 0.0010328646 0.0015998429 0.00078607077 0.00074110104 0.0008810468 0.00259925 0.0011828836 0.001408092 0.001076755 0.0016002026 0.0008087355 0.0017977096 0.0015789769 0.0028237388 0.001299445 0.0021768943 0.0010911453 0.0015527146 0.0007518938 0.0010792733 0.0011022978 0.0088842185 0.0011857616 0.0016523675 0.009579631 0.0030741303 0.0008148514 0.0058823996 0.0024222492 0.0018174963 0.001491196 0.0010526513 0.0011289199 0.0021999187 0.0007540523 0.00089759566 0.0008947176 0.0025629145 0.0010861087 0.0021934432 0.0014512629 0.0016685566 0.000751534 0.0015570316 0.0010742367 0.0038817865 0.0010091206 0.0012800182 0.002113577 0.0019401737 0.0011609384 0.000947602 0.0009526386 0.0021945224 0.00076376577 0.0010307061 0.00091810187 0.002217547 0.0015077449 0.0011943958 0.0009339312 0.01740616 0.002939221 0.0012451217 0.004570363 0.0039091283 0.0009630716 0.001106615 0.0010213524 0.005415434 0.0012577132 0.0017207215 0.0015307694 0.004076415 0.0009925717 0.0021124978 0.0013652808 0.005256061 0.0014235616 0.0016368979 0.0016264649 0.007783 0.0016642394 0.00276258 0.052855253 0.001088689 3.2396101e-06 0.00035959674 3.0596318e-06 3.4195887e-06 7.199134e-07 5.3993504e-06 3.599567e-06 1.7997834e-07 2.8796535e-06 3.599567e-07 7.199134e-07 0.0 3.599567e-07 1.4398267e-06 7.199134e-07 0.001022817 6.56921e-05 0.0 0.0 0.0 0.0 0.0 1.1338636e-05 5.3993506e-07 0.0 0.0 0.0 0.0 0.0 0.0 5.3993504e-06 0.00072531274 2.3397185e-06 8.9989175e-07 1.9797617e-06 1.4398267e-06 1.0798701e-06 0.0 3.815541e-05 1.6737986e-05 5.3993506e-07 0.0 0.0 0.00032810052 2.1597402e-06 3.2396101e-06 0.00072099327 0.001437847 0.00028886524 8.638961e-06 1.0438744e-05 7.379112e-06 5.219372e-06 3.4195887e-06 1.2238527e-05 1.9617639e-05 3.7795453e-06 8.998917e-06 4.679437e-06 0.0006290243 4.139502e-06 1.0978679e-05 0.00086209626 0.0055058976 0.0016331235 1.0978679e-05 7.919047e-06 3.275606e-05 1.29584405e-05 4.139502e-06 0.00019761622 0.0010168776 1.2418506e-05 3.9595234e-06 1.7997834e-05 0.00028634554 1.1878571e-05 6.659199e-06 0.0008219611 0.0019380068 3.4375866e-05 1.0438744e-05 1.2238527e-05 5.093387e-05 1.4218289e-05 3.0956275e-05 0.00029264478 0.00018393787 9.1788956e-05 8.458982e-06 5.579329e-06 0.00068697735 7.739069e-06 1.4938202e-05 0.0010399149 0.006084168 0.000114286246 0.00013570367 0.0001063672 0.00049979985 0.00046920354 0.00022983235 0.0005842097 0.00035689707 3.815541e-05 3.887532e-05 0.000120405515 0.0015251365 3.275606e-05 3.9595237e-05 0.0021568604 0.008507396 0.00021093462 0.00078812515 0.0007379112 0.00036265637 0.0005834898 0.0027578082 0.0026926561 0.00017583884 3.0236362e-05 9.2688846e-05 0.00011014675 0.00042078938 2.5556925e-05 3.7435497e-05 0.0016333035 0.0073929704 0.00025592922 0.00054857397 0.0006824779 0.0011995557 0.001113526 0.003998219 0.0028866727 0.00024711026 0.00020499533 6.803181e-05 0.00015838095 0.00011410627 4.445465e-05 0.00010150779 0.0012562488 0.012029933 0.0006538613 0.00053885515 0.001819401 0.002401811 0.0017672074 0.0062938426 0.003140262 0.00060886674 0.00046506405 0.00049008103 0.00024135096 0.0007172137 0.00022911244 0.00021093462 0.0037773855 0.04628863 0.0029136695 0.0015809297 0.0022733065 0.011840235 0.007099426 0.017912345 0.008719051 0.0023874128 0.0018021232 0.001189297 0.0015107383 0.0018123819 0.00096630375 0.0011259445 0.008528814 0.045514904 0.005034714 0.004138422 0.034423377 0.01504601 0.009034373 0.017406965 0.010013815 0.00457163 0.003982021 0.003233311 0.0037412099 0.003715653 0.0034348867 0.0034748418 0.008685395 0.015034131 0.00097458274 0.0011255846 0.0007190135 0.0038284995 0.0039766217 0.004663059 0.0022801457 0.002268447 0.00059896795 0.0006781584 0.001138543 0.0011412427 0.0008763146 0.0017843053 0.0031438617 0.044032782 0.0056133447 0.004636242 0.0049837804 0.014486817 0.015681874 0.007937585 0.007865054 0.028970754 0.0033134012 0.0022092343 0.005194535 0.009858494 0.005303422 0.012004375 0.021789618 0.047474686 0.008075988 0.007183476 0.00873075 0.01920477 0.025640614 0.010044231 0.010988938 0.04198913 0.004478761 0.003708094 0.0065132366 0.017241925 0.009445984 0.02002331 0.034228463 0.0056146043 0.0051144445 0.0051464806 0.005309721 0.0052926233 0.005452804 0.005517056 0.005270666 0.00515206 0.0053989906 0.005433366 0.005184276 0.005276785 0.0052595073 0.005105266 0.0048797526 30506.0 10.585459 322920.0 0.010535117 0.00083921716 0.0014028242 0.0009537966 0.0035550601 0.00087018457 0.0013656634 0.0009259259 0.0027777778 0.00088876503 0.0012820513 0.00094760314 0.002821132 0.0012294067 0.0029852595 0.0009414096 0.010144928 0.008708039 0.008540815 0.020955654 0.010017961 0.008187787 0.00846959 0.008023659 0.009974606 0.008178496 0.008596556 0.008627524 0.009568933 0.007977208 0.007655147 0.00806082 0.0035148023 0.008683265 0.00875449 0.018856063 0.01408708 0.008531525 0.016762666 0.004493373 0.0076210825 0.007924563 0.0011984393 0.0027839714 0.008769974 0.006831413 0.0048959493 0.009243775 0.009921962 0.003629382 0.006174904 0.014430819 0.017543044 0.0044097607 0.005078657 0.005357364 0.003016227 0.0041620214 0.0019850119 0.003747058 0.0026755852 0.0031865477 0.0037563483 0.0036603494 0.002691069 0.04324291 0.00916326 0.015359841 0.025096 0.07828874 0.006859284 0.012702837 0.014511334 0.0378298 0.0018673355 0.005924068 0.033101078 0.0141861765 0.04424935 0.04219621 0.01474359 0.0010064412 0.0402081 0.028068872 0.06138672 0.01569429 0.0052303975 0.006246129 0.008125852 0.0065434165 0.0022420413 0.0009166357 0.0034683512 0.0009104422 0.0009599901 0.0052830423 5.81591 0.0 6.0 0.0 86.0 2779648.0 2838528.0 0.0 0.0 593.0 1.0 1.0 0.0 1.0 0.0 1541952600.0 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 5.0 0.0 5.0 0.0 2051584.0 1024.0 4096.0 10.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -177152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2045952.0 -16384.0 511488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.637565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 -6.396606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7656846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.444056 -5.2334623 6.8960214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72.0 0.0 0.0 -176822.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -5272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33656.0 0.0 0.0 -21268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2045952.0 -16018.0 511488.0 0.0 0.0 0.0 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 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 -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 1.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -2.0 -1.0 2.0 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 2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 2.0 0.0 3.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -4.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 2.0 1.0 1.0 0.0 -1.0 3.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 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 2.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -2.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16018.0 2121728.0 511488.0 2326528.0 0.0 0.0 0.0 0.0 175888.0 2150400.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2146304.0 0.0 0.0 0.0 0.0 2460.0 2124648.0 934.0 2138112.0 0.0 0.0