Input: 0.42969507 0.0057786778 0.005721307 0.0034290017 0.0051198606 0.0049956627 0.003944707 0.0023490458 0.0028124244 0.0067174137 0.0056481753 0.0041830163 0.0043771937 0.006112815 0.0041603204 0.03031757 0.0012835902 0.0019877995 0.0013554612 0.0015805308 0.00074140576 0.0007325795 0.0011745229 0.00096647535 0.0009538664 0.0007943633 0.0007956242 0.0007722977 0.0007458189 0.0009229745 0.00072501414 0.0011656967 0.0017469688 0.0006146859 0.0006632303 0.0006361211 0.00074518844 0.0011089564 0.00069601357 0.00058883755 0.0021416286 0.00056488055 0.00074518844 0.000982867 0.0010232156 0.0007395144 0.0008592993 0.0008076027 0.0013113299 0.008111332 0.01893926 0.019616991 0.0015912484 0.0015805308 0.0016946417 0.001857297 0.0015307255 0.0017135551 0.0012955688 0.0015654 0.0014897464 0.0015363995 0.0017457079 0.0017312076 0.0017545342 0.002359133 0.00167825 0.002228 0.0018339705 0.0025451148 0.0018371227 0.0016864459 0.0018327096 0.0021088454 0.0017469688 0.0017015766 0.0016643802 0.0016952722 0.0018320791 0.0020521053 0.0019398857 0.001321417 0.001845949 0.0020130174 0.0021208238 0.0015023553 0.0017639908 0.0015420736 0.0014140927 0.001542704 0.0014638981 0.0012602637 0.00164988 0.0014323757 0.0014771374 0.0024801788 0.0015590956 0.0030992778 0.0016593366 0.0018541449 0.001869906 0.0034813287 0.0016044878 0.0018276661 0.001482181 0.0025009834 0.0012615246 0.0016215099 0.0021227153 0.0017765998 0.0025400713 0.003443502 0.0026163552 0.0011883928 0.0032108668 0.0026579648 0.0028496208 0.0017665126 0.00122685 0.0015080294 0.0015761177 0.0016076401 0.0013768964 0.0021384764 0.0014519196 0.0016769891 0.0013724832 0.0015017249 0.0025047662 0.0014954205 0.0015660306 0.0012426112 0.00164988 0.0011341743 0.0012659377 0.0012117192 0.0014317452 0.0010812167 0.0012186542 0.0013264606 0.0011833492 0.0013321346 0.0013548307 0.0011007605 0.0011934363 0.0012117192 0.001149305 0.0011442614 0.0011783056 0.0014077883 0.0012438721 0.0011530877 0.0012344153 0.0012772857 0.0012495461 0.001197219 0.0012306327 0.0011209348 0.0010692382 0.0013554612 0.0011606531 0.0011562399 0.0018636015 0.0011581313 0.000982867 0.0009374748 0.0010799558 0.0011638053 0.0010629337 0.00093432254 0.0008511035 0.0009608013 0.0009576491 0.0008044505 0.0010396072 0.00094756193 0.0010024108 0.0009500837 0.00091414823 0.0009286485 0.0008473208 0.0007287968 0.0022948273 0.0011953276 0.0020205828 0.0010629337 0.0012608941 0.0009891714 0.0010263678 0.0012054148 0.0010572597 0.0033319127 0.0014077883 0.0011001301 0.0008101245 0.00071997056 0.00067457836 0.0009374748 0.0007155574 0.0007804935 0.0009816061 0.0009374748 0.0007470798 0.00086875603 0.0008063418 0.0008548862 0.00072627503 0.00096521445 0.0009059524 0.0009368443 0.0009204527 0.0007325795 0.002732988 0.00089712616 0.00084353815 0.0007729281 0.00084101636 0.0008712778 0.00091414823 0.0007565365 0.0009727798 0.00071429653 0.0009620622 0.0009154091 0.0014714635 0.0006991658 0.0008252552 0.028602123 0.0006632303 0.00048670513 0.0005592065 0.0005390322 0.00060775096 0.00052453193 0.00048166155 0.00055416295 0.0005724459 0.0005239015 0.000482292 0.000667013 0.0009494533 0.00056235876 0.00052894506 0.0006323384 0.00061279454 0.0005270537 0.00056361966 0.000559837 0.001119674 0.0006991658 0.0008145376 0.001166327 0.001709142 0.0015836831 0.002245022 0.09355582 0.082021475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.9871912e-05 0.0 0.007279428 2.8388445e-06 1.38787955e-05 0.00010346011 3.785126e-06 2.20799e-06 1.766392e-05 8.2011065e-06 2.8388445e-06 9.462815e-06 5.6146037e-05 0.0001091378 0.0 6.3085434e-07 7.3809955e-05 6.84477e-05 0.006759604 9.462815e-06 6.6239704e-06 4.7314074e-06 4.7314074e-06 0.0 1.5771358e-06 3.1542716e-06 1.0724523e-05 1.4509649e-05 0.00017222323 0.00041384043 9.778242e-06 1.2617087e-06 7.2548246e-06 0.00033246024 0.010316676 1.4194223e-05 5.3622616e-06 0.0008532305 1.892563e-06 2.20799e-06 1.892563e-06 1.5140504e-05 8.516533e-05 5.3622616e-06 2.3026183e-05 6.4978e-05 1.0409097e-05 9.462815e-07 0.00033624534 0.0011831673 0.0101700025 5.5515182e-05 3.4066135e-05 0.0002416172 2.4918745e-05 1.29325135e-05 4.983749e-05 8.768875e-05 5.0152918e-05 4.920664e-05 0.00015865987 0.0003318294 8.7057895e-05 1.3563368e-05 0.00016086786 0.004621954 0.014535515 0.00027631418 3.122729e-05 0.0005097303 0.0017143466 0.0013361495 4.1951815e-05 0.00014004965 0.00022900011 9.368187e-05 0.00023625494 0.000478503 0.00012837886 4.447523e-05 0.00036968064 0.00502854 0.06762979 0.00027473705 0.000117023475 0.019337893 0.0007119191 0.0005491587 0.000115761766 0.00015739816 0.00021764475 0.0015250903 0.0022035742 0.004243442 0.00016875353 0.0003974382 0.0069400286 0.015565384 0.10333646 0.00056524546 0.00036274124 0.027343435 0.004192658 0.0011440543 0.0047594807 0.0028123485 0.0027252906 0.0038898478 0.0036097486 0.004144713 0.00031858144 0.0011847444 0.01078824 0.026496828 0.14161323 0.0019622725 0.001933884 0.0076762354 0.011455999 0.009183662 0.011360425 0.012295982 0.00800838 0.004930442 0.0019673193 0.002688701 0.0035258448 0.0034179688 0.008349041 0.0331965 0.052335043 0.0029208555 0.0028659713 0.0015673576 0.003023054 0.005708916 0.006705666 0.004811526 0.0012677017 0.0005519975 0.00078635995 0.00042992723 0.0012992445 0.002386522 0.0028675483 0.011247502 0.008567002 0.00077500456 0.00055830606 0.00068258436 0.000567138 0.00058133225 0.0008809881 0.000773112 0.0003611641 0.00024918746 0.00024981832 0.00025738857 0.00023530866 0.0003214203 0.00045453056 0.0012815805 0.004111278 0.00057880883 0.0004075319 0.00037315034 0.0004248804 0.0003390842 0.00061729096 0.00036211038 0.00037251948 0.00029082384 0.0001463582 0.00017727006 0.0001532976 0.00020250423 0.00016969981 0.00031731973 0.002394723 0.0004901738 0.00021007449 0.00024918746 0.00021701389 0.00023246981 0.00042330325 0.00025581144 0.00025801943 0.0002334161 0.00012143946 0.00013500283 0.000119546894 0.0001520359 0.000121754885 0.00019998082 0.00085386133 0.00057565456 0.0001567673 0.00016654555 0.00010062126 0.000283569 7.885679e-05 0.0001230166 0.00027126737 0.00013657997 6.15083e-05 7.2548246e-05 8.768875e-05 8.453448e-05 6.9078545e-05 0.00010787609 0.0007958227 0.00016496841 0.00019651113 0.00015960615 0.0002078665 0.00014825077 0.0002659051 0.00018610203 0.00015992158 0.0001346874 0.0001498279 0.00012112403 0.00013153313 0.00013153313 0.00013784166 0.00013847252 0.012473882 0.008023205 0.007746576 0.0080761975 0.007918484 0.0072582946 0.008376168 0.00768696 0.008090392 0.007313179 0.0071289693 0.0071595656 0.0077664475 0.0073589156 0.0074179005 0.00811184 3548.0 13.107948 46507.0 0.005655063 0.0012686262 0.0013116305 0.001397639 0.000924592 0.0010536049 0.0013761369 0.0011611155 0.0016126605 0.000623562 0.0012686262 0.0006020599 0.0037628745 0.0013331326 0.007353732 0.0021932183 0.0050099986 0.010385534 0.016148107 0.021846173 0.003225321 0.0030318017 0.002773776 0.0035908574 0.0034618445 0.002623261 0.0016556648 0.0020212012 0.0020212012 0.0037413724 0.0025157502 0.0016771669 0.0018921882 0.019867977 0.0074397405 0.016212612 0.013847378 0.026168104 0.011912186 0.007826779 0.00432193 0.021996688 0.0057410714 0.005547552 0.01236373 0.012621756 0.015761068 0.01548154 0.01758875 0.002322231 0.016191112 0.019308921 0.027780764 0.0077837743 0.007375234 0.0034188402 0.004794977 0.0054615433 0.0026017588 0.0014191412 0.0023867374 0.0016771669 0.002472746 0.040983077 0.002322231 0.039864965 0.009331929 0.017739264 0.014126905 0.06536651 0.009568452 0.011632658 0.0058700843 0.03195218 0.0014191412 0.0055045476 0.021330122 0.018728364 0.038961876 0.03347883 0.015352528 0.0034618445 0.033629347 0.031715658 0.049712945 0.020534543 0.0045584533 0.0040424024 0.006171114 0.0108585805 0.005053003 0.0015051498 0.0013116305 0.0012256219 0.0014191412 0.0010536049 5.8043647 0.0 2.0 0.0 3.0 1586176.0 1605632.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541769900.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 1465856.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1465856.0 0.0 119296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.81979 0.0 4.475951 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1465468.0 0.0 118956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1473028.0 118956.0 1474560.0 0.0 0.0 0.0 0.0 12.0 1597440.0 28.0 1472716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.021455068 0.004424554 0.0037426536 0.0039072298 0.004141195 0.0037400539 0.0037032594 0.0038076441 0.00445075 0.0035490817 0.0035722784 0.0037090585 0.0038804335 0.00363027 0.0035662793 0.004130397 0.004199987 0.003391105 0.0033333134 0.0035122873 0.0037590512 0.0036012742 0.0035022886 0.003657066 0.003643668 0.003465894 0.0035122873 0.003665465 0.003684862 0.0036008742 0.0037310552 0.0037158574 0.0039210278 0.003453096 0.0032999183 0.0034698935 0.0039282264 0.003534484 0.0033883052 0.0035588804 0.003575878 0.0034488966 0.0033573098 0.0036604656 0.0035442826 0.0036582658 0.0035746782 0.003684662 0.0039416244 0.0036492671 0.0035500817 0.0051688454 0.003720057 0.0036596656 0.003760651 0.0038756342 0.003939025 0.0037458532 0.0037244563 0.0041102 0.0040368107 0.003891032 0.0038990309 0.0038488382 0.004628524 0.003869235 0.003998416 0.004241781 0.0037890468 0.0054680016 0.0039686207 0.004321569 0.0035608802 0.0035580804 0.0034155014 0.0035010888 0.0034201008 0.0038710348 0.0035650795 0.0037416536 0.00431617 0.0035920755 0.0035470822 0.0041421955 0.003611073 0.004464548 0.0039066295 0.0038406393 0.0035704786 0.004028012 0.0037402539 0.0040040156 0.0036452678 0.0038734344 0.003981019 0.00397162 0.0033895052 0.0038722346 0.0034221003 0.003671464 0.004183989 0.0041541937 0.0038080441 0.0036946605 0.0040348107 0.0038664355 0.0037560517 0.003637069 0.0038872324 0.0036906612 0.0039552227 0.004158593 0.0038252415 0.0035724784 0.0039766193 0.0039012304 0.0049098833 0.004294173 0.0038064444 0.003930626 0.0039546224 0.0036878616 0.0036076733 0.0039328258 0.0039206278 0.0039418247 0.0038306408 0.0038484382 0.004089003 0.0035584804 0.003327714 0.004423154 0.003842639 0.004027812 0.003486091 0.0036658647 0.0035192862 0.004598329 0.0038598364 0.010013538 0.0036048738 0.0043335673 0.003609673 0.00369846 0.0036142722 0.0033453116 0.003431499 0.0035114873 0.0035092877 0.003472693 0.0034410977 0.003589476 0.0034003037 0.0033579099 0.0034336988 0.0035910758 0.0035524813 0.0036142722 0.0037652503 0.0037172572 0.0034694935 0.0037322552 0.003445097 0.003616472 0.0034562955 0.0034482966 0.0033459114 0.003588876 0.0034578952 0.0033321136 0.0033955043 0.003499089 0.003580877 0.0034888906 0.0035240855 0.0037238563 0.003670464 0.0035156866 0.0036770632 0.0036318698 0.0036172718 0.0034964895 0.0036326696 0.003732655 0.0037582512 0.0036664647 0.0036502671 0.003814243 0.0037342547 0.0037136578 0.0038518377 0.003877234 0.004696314 0.0038624362 0.0036972603 0.004801499 0.0037298554 0.0035524813 0.0040024156 0.004000416 0.0036194716 0.0036186716 0.0036316698 0.0036094731 0.0035240855 0.0034598948 0.0036476674 0.0038074441 0.0036826623 0.0035766778 0.0037856472 0.0036618654 0.003581077 0.0034692935 0.0036810625 0.0037810479 0.0041074003 0.0037162574 0.003616672 0.0038670355 0.0037916463 0.0036410685 0.0038064444 0.0039218273 0.003829241 0.003679063 0.0036858618 0.003725856 0.0037234563 0.0037026594 0.0034920902 0.0037900466 0.006041118 0.003910229 0.0036042738 0.004239181 0.0042605777 0.0036768632 0.0037506523 0.003922827 0.004395558 0.003779848 0.003746253 0.003801445 0.003952223 0.0036526667 0.0040112142 0.004012614 0.0044003576 0.0038812333 0.003916828 0.004185389 0.0049650753 0.004132997 0.0043469653 0.009443021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003293548 3.400566e-06 3.0004992e-06 4.1006824e-06 1.2902147e-05 1.9003162e-06 2.1003495e-06 1.1701947e-05 1.5002496e-06 1.310218e-05 2.500416e-06 1.1801963e-05 2.6004327e-06 3.1005159e-06 2.500416e-06 4.1006824e-06 0.00076472724 1.3302213e-05 1.9603262e-05 1.8403061e-05 1.8803128e-05 1.8403061e-05 4.0906805e-05 2.590431e-05 1.3302213e-05 1.2902147e-05 1.310218e-05 1.310218e-05 1.2902147e-05 1.2902147e-05 1.30021635e-05 1.2902147e-05 0.0024030998 4.4607423e-05 0.0002199366 3.2305375e-05 0.000115819275 5.090847e-05 0.0007227203 0.00036756115 2.3103845e-05 1.8803128e-05 1.1501914e-05 1.790298e-05 1.3302213e-05 1.3302213e-05 1.3602264e-05 2.8204693e-05 0.00095935963 4.5007488e-05 5.4309035e-05 2.4304045e-05 0.0002121353 7.721285e-05 0.00047277866 0.00024114012 2.7904644e-05 8.0013315e-06 7.501248e-06 7.901314e-06 1.52025295e-05 1.4202364e-05 1.6302713e-05 6.9911635e-05 0.0010611765 6.0410053e-05 7.231203e-05 0.00047697936 0.00012082011 4.310717e-05 0.00024554087 0.00015052504 0.000121820274 2.1803628e-05 2.2403729e-05 1.8803128e-05 4.9708273e-05 8.801465e-06 1.3302213e-05 0.00017532917 0.0010612766 6.951157e-05 6.2610416e-05 9.561591e-05 0.00021423565 5.450907e-05 0.00021243535 0.00015272542 7.221202e-05 2.4604095e-05 2.1603595e-05 2.1203528e-05 4.6307705e-05 4.200699e-05 2.3503912e-05 7.8813115e-05 0.0027677605 0.000318553 0.00031635264 0.0031535248 0.0010073676 0.0003911651 0.0009199531 0.0006076011 0.00039646597 0.00025334215 0.00027064505 0.00025564255 0.00029104843 0.00024424065 0.00026624431 0.00042046997 0.0022241701 0.00047427893 0.00018033001 0.0005264876 0.0011686945 0.0004314718 0.00052978814 0.00031205194 0.0012902147 0.00010991829 8.181361e-05 0.00010221701 0.00066121004 0.00021493576 0.00047977985 0.00043017158 0.006358058 0.00095285854 0.00087524566 0.00088194676 0.0026169354 0.0020759455 0.0011315882 0.0012254039 0.0040054666 0.00037656265 0.00034605758 0.0004921819 0.001400433 0.0007228203 0.0015713614 0.0036439064 0.007953623 0.001430138 0.0013592262 0.0016141686 0.0038895472 0.0042879134 0.0018973157 0.0022788793 0.007181295 0.00058699766 0.00062630425 0.0010387729 0.0030962152 0.0015249538 0.003083013 0.00649248 0.053455494 0.054570682 0.05390117 0.05569977 0.05354771 0.05480602 0.055009454 0.05757138 0.054534573 0.05492274 0.054706004 0.057065398 0.055676363 0.056887265 0.05755678 0.059273962 24235.0 6.453683 156405.0 0.010396088 0.007704357 0.008203062 0.007915348 0.00874013 0.007710751 0.0079728905 0.0079728905 0.008298967 0.0077938684 0.008119945 0.007992072 0.008644225 0.008151913 0.008599469 0.008113551 0.010287395 0.010268214 0.010351332 0.01772322 0.011054634 0.010025255 0.010702983 0.010568716 0.01176433 0.010651833 0.0099805 0.010869218 0.010933154 0.010018861 0.010376906 0.010217065 0.0082925735 0.010728558 0.010869218 0.012371727 0.011233657 0.0101978835 0.009775902 0.009200473 0.008823248 0.009616061 0.008081583 0.007806656 0.0094242515 0.01012116 0.009110962 0.010882005 0.010274608 0.008752917 0.008688981 0.012160736 0.011917777 0.008919152 0.009373102 0.00895112 0.008925546 0.010581503 0.00881046 0.009321952 0.008733736 0.009245229 0.00999968 0.010498386 0.008222244 0.016757777 0.009296378 0.011476615 0.012186311 0.024308685 0.009027844 0.010319363 0.010920367 0.016284646 0.008637832 0.008899971 0.015811514 0.010779707 0.0181452 0.018420128 0.011444647 0.007685176 0.017838305 0.013560948 0.02216681 0.010971516 0.009724753 0.009660817 0.009590486 0.009226047 0.008522745 0.008203062 0.008350117 0.007410249 0.008247818 0.008087977 6.5332556 5.0 2.0 0.0 74.0 5000730.0 10924032.0 0.0 0.0 12.0 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 1.0 0.0 4.0 0.0 448000.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -30720.0 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 -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 -448000.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 10273792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6972766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2157707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1692963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.567609 0.0 0.0 0.0 0.0 0.0 0.0 -5.054874 7.99643 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -30220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 103809.0 0.0 0.0 0.0 0.0 0.0 -29308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -447888.0 0.0 0.0 0.0 0.0 0.0 0.0 -8804.0 10273792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8804.0 593920.0 10273792.0 647168.0 0.0 0.0 6752.0 10792960.0 30220.0 614400.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 610304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.15132524 0.013618495 0.005542433 0.0055133603 0.018737227 0.0029187256 0.0027033004 0.0026141754 0.00957689 0.0030226253 0.0019359672 0.0012987471 0.00694365 0.0010137376 0.0006948893 0.025416361 0.00786159 0.001140991 0.00082166604 0.00073492405 0.0058426936 0.0016013909 0.0012725339 0.0005938491 0.00581791 0.00066819944 0.0004942388 0.0004708852 0.0060585956 0.0008983994 0.0008159468 0.0023563323 0.014210438 0.0011853152 0.00077877165 0.00068964664 0.057352673 0.0019159499 0.0033514823 0.0020393904 0.003437748 0.0023634813 0.0006648632 0.0008073679 0.0044848477 0.0015818501 0.0014283835 0.0024573726 0.005702572 0.0050277 0.0024197206 0.002115647 0.0043695094 0.001508453 0.0015994845 0.0015818501 0.0038571598 0.0038404786 0.0023753964 0.0020684632 0.003860496 0.0024926413 0.0014441115 0.0016857499 0.005059633 0.002156635 0.0014503073 0.0062697316 0.025340581 0.0036865354 0.0023248764 0.0021223195 0.0023668176 0.0012534697 0.0007387369 0.0010623513 0.0065704687 0.001631417 0.001904988 0.0013826295 0.0033119242 0.00069202966 0.0021413837 0.005243602 0.00692125 0.0030564643 0.002507416 0.0020045983 0.0018044244 0.00087313936 0.003171326 0.004590654 0.0064575137 0.0032890472 0.004596373 0.0042284345 0.0019111838 0.0031656066 0.0012158179 0.0018911664 0.0029873566 0.005255994 0.004679779 0.001238695 0.0020112707 0.0033848446 0.00046325952 0.0009656006 0.004255601 0.0013559397 0.0028705886 0.0033533887 0.0024321123 0.00047612784 0.0034987533 0.002726654 0.012758224 0.0043795183 0.0025574595 0.0013101856 0.0018420762 0.0011714937 0.0006210156 0.0010571086 0.005036756 0.0007177663 0.0009660772 0.0011905578 0.0062225475 0.0034587185 0.00072634517 0.015440554 0.0076542674 0.010536771 0.0012067624 0.0012301161 0.003910063 0.034448016 0.00045706367 0.026306659 0.0017400829 0.0129078785 0.0011557657 0.0008516921 0.006278787 0.00041559906 0.0006438926 0.0009765625 0.0013573695 0.0009403406 0.00048565993 0.00043704628 0.00088505447 0.0006991787 0.00042322473 0.00041083302 0.0010804622 0.00070394477 0.00043609308 0.00041416925 0.0011977069 0.0013340159 0.00042465454 0.0005919427 0.0007091874 0.0004732682 0.00038414318 0.00031551215 0.0010509128 0.0004704086 0.00039510507 0.00048518332 0.0009751327 0.00039367526 0.00041083302 0.0020222326 0.0009994395 0.0003302869 0.0003765175 0.00043704628 0.002515995 0.00050996675 0.009113153 0.0018492253 0.0027457182 0.0008149936 0.0010599683 0.0012186775 0.0024807262 0.0015346663 0.0008288151 0.0012353588 0.008307692 0.006577618 0.0025951113 0.003796631 0.002838656 0.0009317617 0.0020112707 0.013933531 0.0016752646 0.002136141 0.0013054196 0.0009632176 0.00068154436 0.0005952789 0.0006315009 0.0008078445 0.0025598425 0.0014498307 0.0022185936 0.002639912 0.00067916134 0.0007816313 0.00094463 0.00077972485 0.003004991 0.0039272206 0.0008197596 0.0020198496 0.00067058246 0.001754381 0.001212005 0.0008507389 0.002426393 0.0010633045 0.001569935 0.00075827766 0.00083310454 0.0007835377 0.0009126975 0.0007077576 0.010072081 0.00635838 0.0019740956 0.0025679448 0.0030259616 0.0009641708 0.0011214502 0.0008636073 0.0020026919 0.0009465364 0.00092890207 0.0015108361 0.00086217746 0.0005948023 0.0020293817 0.0023267828 0.0033004857 0.0017601002 0.0025145651 0.0017467553 0.0020112707 0.0020322413 0.0040420825 0.035776313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.179115e-05 0.0003964901 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00033593178 0.00048828125 0.00015234947 0.0 0.0 0.0 0.0 0.0 0.0008239746 3.4093857e-05 1.5258789e-05 1.2874603e-05 1.3589859e-05 2.026558e-05 2.5510788e-05 1.4781952e-05 0.00042319298 5.4836273e-06 6.198883e-06 5.9604645e-06 1.5974045e-05 7.6293945e-06 7.6293945e-06 3.2424927e-05 0.0021371841 1.168251e-05 3.1232834e-05 3.7908554e-05 0.00034308434 0.00047683716 6.9856644e-05 0.00015711784 4.053116e-05 1.04904175e-05 8.34465e-06 6.67572e-06 5.9604645e-06 8.34465e-06 6.67572e-06 6.604195e-05 0.002667904 3.2901764e-05 3.361702e-05 1.6212463e-05 0.00015163422 0.00058603287 4.172325e-05 0.00010561943 2.2411346e-05 0.0001142025 0.00028014183 0.00017142296 9.512901e-05 3.4093857e-05 2.336502e-05 1.8119812e-05 0.0035672188 0.00014710426 8.6307526e-05 9.775162e-05 0.00023436546 0.00038027763 0.00015425682 0.00021362305 0.0001373291 3.4809113e-05 5.2452087e-05 4.196167e-05 2.002716e-05 2.5749207e-05 4.3153763e-05 0.0001347065 0.0054187775 0.00024151802 0.0019359589 0.001357317 0.0018396378 0.0014197826 0.0056114197 0.0029575825 0.00018119812 5.8174133e-05 0.00014686584 0.00042033195 8.9883804e-05 4.386902e-05 8.72612e-05 0.00016307831 0.0052263737 0.00021958351 0.0049903393 0.003349781 0.0027050972 0.0015964508 0.0076863766 0.004303217 9.393692e-05 7.510185e-05 0.00015211105 8.535385e-05 6.771088e-05 7.1287155e-05 5.6505203e-05 8.249283e-05 0.0058279037 0.0004632473 0.0025975704 0.0014536381 0.0022306442 0.0017328262 0.0049197674 0.0025281906 0.00023627281 0.00020051003 0.0005569458 0.0006940365 0.00018429756 0.00012111664 0.00016355515 0.00050354004 0.016123533 0.0025947094 0.0056684017 0.01698947 0.004755974 0.0034136772 0.006646633 0.0042274 0.0037868023 0.0015084743 0.00151968 0.0018770695 0.0022068024 0.0022556782 0.0016303062 0.002432108 0.033673048 0.004641056 0.01101613 0.0029067993 0.008855104 0.005544424 0.00355649 0.0035204887 0.014747143 0.0017371178 0.0012974739 0.0030705929 0.0057325363 0.002175331 0.0034925938 0.0073149204 0.14754367 0.022603512 0.058390617 0.015346289 0.035618305 0.030953884 0.00944829 0.018973589 0.08650398 0.009061813 0.0056250095 0.017190695 0.03301263 0.01559782 0.02402258 0.043349504 0.029441118 0.0062634945 0.013812542 0.0041275024 0.008392572 0.008583307 0.0025920868 0.0055413246 0.020534039 0.0027012825 0.0016374588 0.0042481422 0.008175135 0.0057377815 0.0062799454 0.010115862 0.0002462864 0.00019979477 0.0002090931 0.00020170212 0.00020337105 0.00020289421 0.00025820732 0.00021004677 0.0002002716 0.0001988411 0.00019979477 0.00024557114 0.0002002716 0.00024271011 0.00019979477 0.00019931793 10655.0 17.35814 184951.0 0.094581805 0.0010759607 0.0014057778 0.0009678239 0.009997242 0.008337343 0.0007515504 0.0020762256 0.0075425385 0.0068774973 0.0031143385 0.0013246752 0.011148899 0.007661489 0.009018605 0.0026547571 0.022914177 0.014739039 0.014766073 0.012781763 0.0101216 0.0069964477 0.008110256 0.0077966596 0.011640921 0.008012933 0.016658466 0.008088629 0.0073424852 0.008369785 0.0053473623 0.0049851043 0.0024763315 0.008818552 0.0036874632 0.012424912 0.016317835 0.008613092 0.0055149742 0.009564696 0.003054863 0.007050516 0.0007948051 0.001627458 0.012516829 0.0057150275 0.007223535 0.0056068907 0.005433872 0.000800212 0.0084941415 0.012614151 0.008175138 0.00685587 0.005260853 0.0043687248 0.003492817 0.0028169623 0.00045958118 0.005185157 0.0023465676 0.005082427 0.0048174923 0.019107765 0.0016058307 0.030353986 0.009018605 0.016663874 0.022741158 0.051743437 0.012181605 0.01024055 0.009802597 0.02998632 0.0010056718 0.004952663 0.021248871 0.011348952 0.027261274 0.032165278 0.012835832 0.0009083487 0.034938984 0.023152078 0.041757006 0.016442193 0.0068018017 0.0064395433 0.007964272 0.006277338 0.0014760667 0.00044336068 0.0024709248 0.00058393844 0.0005893453 0.0010705538 5.8882966 0.0 1.0 0.0 10.0 2098176.0 2158592.0 0.0 629.0 449.0 1.0 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 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 2.0 30.0 4.0 0.0 4.0 0.0 1716736.0 1024.0 4096.0 10.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -67072.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 257024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17408.0 0.0 0.0 0.0 0.0 0.0 18432.0 0.0 0.0 -1716736.0 -13312.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8203613 0.0 0.0 -6.7204394 0.0 0.0 -1.9827812 0.0 0.0 0.0 0.0 0.0 6.143213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.104296 0.0 0.0 0.0 0.0 0.0 5.78159 0.0 0.0 -6.3290925 -5.5006905 4.5814943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -66612.0 0.0 0.0 -56.0 0.0 0.0 0.0 0.0 0.0 256916.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32000.0 0.0 0.0 -17272.0 0.0 0.0 0.0 0.0 0.0 18225.0 0.0 0.0 -1716312.0 -13144.0 6096.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 3.0 -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 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 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 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 -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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 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 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -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 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 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 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 3.0 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 1.0 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 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 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 -1.0 0.0 0.0 -1.0 -2.0 0.0 2.0 -1.0 0.0 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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 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 -1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 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 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -4.0 0.0 1.0 2.0 0.0 1.0 2.0 -5.0 0.0 -2.0 5.0 2.0 3.0 -1.0 -1.0 2.0 1.0 1.0 2.0 0.0 -3.0 1.0 5.0 -2.0 2.0 -4.0 0.0 2.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 -3.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -3.0 2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 2.0 1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 -3.0 3.0 0.0 2.0 -3.0 3.0 0.0 0.0 0.0 2.0 -1.0 -2.0 2.0 1.0 -1.0 -2.0 2.0 -1.0 -6.0 0.0 2.0 2.0 3.0 -1.0 0.0 -2.0 0.0 0.0 2.0 -1.0 2.0 -1.0 -2.0 -2.0 0.0 1.0 2.0 1.0 1.0 2.0 0.0 2.0 -3.0 1.0 2.0 0.0 -1.0 -1.0 -2.0 0.0 -2.0 0.0 -2.0 4.0 2.0 -1.0 0.0 0.0 0.0 2.0 -2.0 -3.0 -2.0 -1.0 1.0 -3.0 0.0 -3.0 18225.0 2035712.0 13144.0 2056192.0 6096.0 2080768.0 0.0 0.0 0.0 0.0 66612.0 2088960.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2076676.0 0.0 0.0 0.0 0.0 1852.0 2058344.0 0.0 0.0 0.0 0.0


Input: 0.0071505476 0.0038525856 0.0037256717 0.0038865625 0.0038176093 0.0037538526 0.0038323994 0.003939926 0.0038230056 0.003770841 0.0037052855 0.0038899602 0.0038993538 0.0038865625 0.003810614 0.004204347 0.0037632463 0.0036856988 0.0037010885 0.0037996215 0.0037508546 0.0038046183 0.003784232 0.0038657766 0.0038098146 0.003824205 0.0038290017 0.0039267354 0.003913944 0.0037986222 0.003967308 0.0040926225 0.0037128804 0.003692894 0.0037308682 0.0038204074 0.0037574503 0.0038126127 0.0037470572 0.0037926263 0.0037034869 0.0037610477 0.0037628466 0.0038365964 0.0038164102 0.0038375957 0.0038877618 0.0039145434 0.0038321994 0.0037778364 0.0037594489 0.004040858 0.0038643777 0.0038391948 0.0038881614 0.003928734 0.0038543844 0.003866776 0.0038377957 0.003927535 0.003961112 0.004026068 0.0040034833 0.0041287984 0.0036493235 0.0040146755 0.0037044862 0.0038429922 0.0037996215 0.0039701057 0.003908348 0.0038957563 0.0037362645 0.003774039 0.0038319996 0.0038345978 0.003778236 0.0039089476 0.0038074162 0.003996488 0.003962111 0.0037848316 0.003754652 0.0040204716 0.0038260038 0.0038345978 0.003939926 0.0039846958 0.0037450586 0.0038433918 0.0037536528 0.0038425925 0.0038469895 0.0038759697 0.0039789 0.003985096 0.0037524535 0.0039589135 0.0037768371 0.0039047503 0.0038160104 0.0039595133 0.0039665084 0.0038923586 0.003983097 0.003909547 0.003971305 0.0038673757 0.003969706 0.0039397264 0.003922338 0.0040724366 0.0038899602 0.0038088153 0.0039719045 0.0039852955 0.0040802313 0.004090624 0.0039167423 0.003962111 0.0040028836 0.003937528 0.003918741 0.003956315 0.00399329 0.004030665 0.0040398585 0.004062443 0.0036964915 0.0038066169 0.0037508546 0.0040766336 0.0038214067 0.0040134764 0.0039349296 0.0039507193 0.0036685106 0.0038987543 0.0037170777 0.0043726326 0.0037912272 0.0041381917 0.003877169 0.003996088 0.0036781041 0.0036890965 0.0037534528 0.003844391 0.0038150111 0.003770841 0.0038367964 0.0038805667 0.0037548519 0.0038194081 0.003844591 0.0039397264 0.0038162104 0.003899154 0.0039235377 0.004064042 0.003681102 0.0038517863 0.0037452586 0.003928734 0.0037304685 0.003754652 0.0038022199 0.0039201397 0.003815211 0.0038114137 0.003797223 0.0038459902 0.0037966236 0.0037678431 0.0038413932 0.0039549163 0.003882965 0.0037998215 0.0037958242 0.003848988 0.0038525856 0.003773839 0.0039027515 0.0039001533 0.0039401264 0.0038767692 0.0038773688 0.0038627787 0.003926935 0.0039291335 0.0039693066 0.004024669 0.0039277347 0.003872772 0.003928734 0.003994889 0.0037706413 0.003824205 0.0039473213 0.003979699 0.0038361968 0.0038759697 0.0038164102 0.0039297333 0.0038467895 0.0038865625 0.003941925 0.004061644 0.003921539 0.003906949 0.0038046183 0.003899154 0.003819808 0.0038006208 0.0038349975 0.0039759018 0.0038831648 0.003847589 0.003778236 0.003941725 0.00390495 0.0038647773 0.003982098 0.00405245 0.0039373282 0.0039840965 0.0037786358 0.003941725 0.0038174095 0.0039091473 0.0039085476 0.004030065 0.0042635067 0.0039373282 0.0038509867 0.0040472536 0.0039804988 0.0038499874 0.0039041506 0.0040368605 0.0040104785 0.003986295 0.003913544 0.0040900246 0.0040058815 0.0040056817 0.003953517 0.00408183 0.0041739675 0.004060045 0.0040484527 0.0040622433 0.004114408 0.0040692384 0.0042373245 0.0051672934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017592119 3.1985671e-06 4.59794e-06 1.7991939e-06 5.0977164e-06 1.2994178e-06 1.2994178e-06 8.9959696e-07 4.2980746e-06 7.996418e-07 7.996418e-07 1.0995075e-06 9.995522e-07 6.9968655e-07 7.996418e-07 1.0995075e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00038562724 8.596149e-06 2.1190506e-05 8.196328e-06 2.4089208e-05 1.3393999e-05 7.906458e-05 3.8382805e-05 7.796507e-06 2.5988356e-06 3.1985671e-06 2.4988806e-06 3.8982535e-06 3.1985671e-06 2.199015e-06 1.0195433e-05 0.00022320001 3.3984775e-06 2.6887954e-05 6.0972684e-06 6.3971343e-06 9.095925e-06 8.0164085e-05 3.388482e-05 5.0977164e-06 1.5992836e-06 6.9968655e-07 4.997761e-07 1.6992387e-06 1.9991045e-07 9.995522e-08 1.03953425e-05 0.00089280005 7.5566146e-05 0.00015473067 0.00017622106 0.0001482336 8.3762476e-05 0.0005188676 0.00028597188 2.4089208e-05 7.296731e-06 6.8969102e-06 1.169476e-05 9.495746e-06 5.5974924e-06 1.4293597e-05 4.098164e-05 0.00018851555 6.796955e-06 2.069073e-05 2.1990149e-05 1.4493507e-05 1.27942685e-05 3.8182894e-05 5.0077564e-05 1.0095478e-05 3.8982535e-06 2.8987013e-06 6.297179e-06 5.897358e-06 4.2980746e-06 2.199015e-06 2.029091e-05 0.00040211985 5.5075325e-05 5.247649e-05 6.617035e-05 8.096373e-05 4.158137e-05 0.00010005518 7.116811e-05 3.868267e-05 3.7982984e-06 3.7982984e-06 4.1981193e-06 1.8891536e-05 1.3993731e-05 9.995522e-06 6.0572864e-05 0.0001609279 9.695656e-06 1.5992835e-05 1.4693417e-05 2.278979e-05 2.1690283e-05 1.5293148e-05 1.2694313e-05 3.888258e-05 4.997761e-06 4.4979847e-06 5.6974477e-06 1.5992835e-05 5.497537e-06 2.089064e-05 3.9182447e-05 0.0019244378 0.0003017648 0.000236594 0.00026598084 0.0005285632 0.00053585996 0.00026268233 0.00043450535 0.0012201534 0.00010055495 6.776964e-05 0.0001790198 0.00044879894 0.00014133668 0.00045459633 0.0008810053 0.0011352914 0.00024149181 0.00021220493 0.00022160073 0.00043680432 0.00040191994 0.00019541246 0.0003468446 0.00067219883 8.156346e-05 7.356704e-05 0.0001129494 0.00031885714 0.00010865132 0.0002984663 0.00066930015 0.059385497 0.060616244 0.05984379 0.06176213 0.060188036 0.060860734 0.061375603 0.062378854 0.0604961 0.061130714 0.060886722 0.061846294 0.061620194 0.061938953 0.062379654 0.064252615 23766.0 5.843179 138869.0 0.0115360515 0.009339738 0.01089516 0.009584572 0.009627779 0.010146253 0.009807805 0.009750196 0.0090156915 0.009937423 0.01012465 0.010103047 0.009598974 0.009980629 0.010491902 0.010290273 0.010607119 0.010383887 0.010045438 0.010347881 0.010376686 0.010067042 0.010419892 0.0098726135 0.010412691 0.010290273 0.010009433 0.009728593 0.010643124 0.011176 0.010419892 0.01040549 0.009346939 0.01040549 0.009555768 0.009966227 0.009930222 0.0102686705 0.01034068 0.009973428 0.010333479 0.010535109 0.010074243 0.009887015 0.010009433 0.0102830725 0.009541366 0.010448696 0.010383887 0.010031036 0.009613377 0.010880758 0.010578315 0.009786202 0.0102758715 0.009699789 0.009786202 0.009555768 0.009519763 0.009815006 0.010088645 0.010304675 0.010297474 0.010110248 0.008842866 0.01340832 0.010844753 0.011543253 0.012004119 0.014675702 0.011046382 0.01040549 0.010455897 0.012673815 0.009966227 0.009793403 0.012155341 0.010938366 0.011406434 0.012587403 0.010743938 0.010059841 0.013069872 0.011852898 0.012212949 0.010535109 0.0106719285 0.010038237 0.010117449 0.010419892 0.010182258 0.010045438 0.009742995 0.0098726135 0.010009433 0.01061432 6.5796313 1.0 0.0 0.0 64.0 5003393.0 155648.0 1.0 0.0 149.0 0.0 1.0 0.0 0.0 0.0 1240766100.0 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 -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 9.0 0.0 5.0 0.0 4.0 0.0 66560.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66560.0 0.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5 0.0 0.0 0.0 0.0 0.0 5.5492134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5477786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5819936 0.0 4.6469502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 0.0 5789.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49156.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66254.0 0.0 15320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 75956.0 15320.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 74368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 628.0 73728.0 0.0 0.0 0.0 0.0


Input: 0.91886395 0.0040825736 0.005818685 0.0018378363 0.0029161242 0.0007324219 0.0042453343 0.0010443793 0.0009901258 0.00071207684 0.0066731772 0.00056966144 0.0003797743 0.00022379558 0.00048828125 0.00010172526 0.00031195747 0.0010918512 0.0002644857 0.0005628798 0.00074598525 0.0006306966 0.00066460506 0.0006849501 0.00045437284 0.00052218966 0.00041368272 0.00028483072 0.00043402778 0.00020345052 0.00032552084 0.00031195747 0.00027804903 0.00028483072 0.00024414062 0.00014919705 0.00014919705 0.00019666884 0.00033230253 0.00012207031 0.0029296875 0.00031873916 0.0020684137 0.00040690103 0.00074598525 0.0010986328 0.00034586588 0.00015597873 0.0006306966 0.00018988716 0.00022379558 0.00016276042 0.00022379558 0.00027804903 0.00021701389 0.00019666884 0.00027804903 0.00027804903 0.0002644857 0.00015597873 0.00024414062 0.00017632378 0.00013563369 0.00010172526 0.00023057725 0.00014919705 0.00018310547 0.00018988716 0.00016276042 0.00014241536 0.00010172526 8.138021e-05 0.00016276042 9.494358e-05 0.00014241536 9.494358e-05 0.00010172526 0.000108506945 0.00032552084 0.00018310547 0.00034586588 0.00018310547 0.000108506945 0.00014241536 0.000115288625 9.494358e-05 0.00040690103 7.459852e-05 6.1035156e-05 9.494358e-05 0.00017632378 0.000115288625 0.00017632378 0.00013563369 0.0002644857 0.000115288625 0.00016276042 0.00017632378 0.00015597873 0.00014241536 0.00012207031 0.00012207031 8.816189e-05 0.000115288625 0.000108506945 0.00014241536 0.00014919705 6.1035156e-05 0.000108506945 8.138021e-05 0.00012207031 0.0039605033 0.001844618 9.494358e-05 0.0019666883 0.0010375977 0.00032552084 0.000115288625 0.00019666884 0.000115288625 0.000128852 0.00010172526 0.00048828125 0.0012342664 0.000108506945 0.00054253475 0.00031873916 8.138021e-05 0.00055609806 0.00010172526 6.1035156e-05 0.000108506945 2.7126736e-05 5.4253473e-05 0.00052218966 3.390842e-05 0.00020345052 6.1035156e-05 2.0345053e-05 8.138021e-05 0.00020345052 7.459852e-05 6.781684e-05 0.000128852 7.459852e-05 4.0690105e-05 4.747179e-05 6.1035156e-05 4.0690105e-05 2.7126736e-05 4.747179e-05 2.0345053e-05 0.000128852 2.0345053e-05 0.00014241536 4.0690105e-05 0.000108506945 6.781684e-05 1.3563368e-05 2.7126736e-05 4.747179e-05 3.390842e-05 0.0004679362 3.390842e-05 9.494358e-05 0.0001695421 3.390842e-05 2.7126736e-05 5.4253473e-05 5.4253473e-05 0.000115288625 3.390842e-05 0.000115288625 0.00014241536 3.390842e-05 0.000115288625 4.0690105e-05 3.390842e-05 6.1035156e-05 4.0690105e-05 4.747179e-05 6.1035156e-05 2.0345053e-05 0.0002102322 3.390842e-05 2.0345053e-05 3.390842e-05 4.747179e-05 2.0345053e-05 0.00012207031 0.0002916124 3.390842e-05 8.138021e-05 0.00013563369 4.0690105e-05 1.3563368e-05 0.0002102322 2.0345053e-05 6.1035156e-05 2.0345053e-05 4.0690105e-05 3.390842e-05 1.3563368e-05 2.7126736e-05 6.781684e-05 5.4253473e-05 3.390842e-05 6.781684e-05 0.000108506945 1.3563368e-05 0.000128852 2.0345053e-05 2.0345053e-05 2.0345053e-05 8.138021e-05 6.781684e-06 4.747179e-05 4.747179e-05 5.4253473e-05 1.3563368e-05 8.816189e-05 6.781684e-06 0.00012207031 1.3563368e-05 4.0690105e-05 2.7126736e-05 9.494358e-05 3.390842e-05 1.3563368e-05 8.138021e-05 6.781684e-05 4.0690105e-05 7.459852e-05 2.0345053e-05 1.3563368e-05 1.3563368e-05 6.781684e-06 4.0690105e-05 3.390842e-05 4.747179e-05 6.1035156e-05 1.3563368e-05 4.0690105e-05 3.390842e-05 4.0690105e-05 1.3563368e-05 2.0345053e-05 4.747179e-05 6.1035156e-05 5.4253473e-05 0.00023735894 1.3563368e-05 1.3563368e-05 8.816189e-05 0.000108506945 0.00012207031 0.83914036 0.0 6.8291083e-06 6.8291083e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.8291083e-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 0.019486861 6.487653e-05 0.00016731316 4.4389206e-05 0.00015706949 0.0001263385 0.0005292559 0.00023901879 1.02436625e-05 1.707277e-05 2.390188e-05 2.7316433e-05 1.3658217e-05 1.3658217e-05 1.707277e-05 4.097465e-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 0.0384991 0.00179947 0.0023594568 0.000788762 0.00031413898 0.00047803757 0.0010653409 0.0016936188 0.00048828125 0.00024243335 0.00028682256 0.00021853147 0.00018780048 0.00018438592 0.00011268029 0.00023218969 0.005422312 0.0002902371 0.0002970662 0.000116094845 6.829108e-05 7.5120195e-05 0.00020487326 0.00022194603 6.829108e-05 3.073099e-05 3.7560098e-05 2.390188e-05 3.7560098e-05 4.4389206e-05 2.7316433e-05 2.7316433e-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 0.012213861 0.0013350907 0.0022843368 0.00055315776 0.0003892592 0.00044047748 0.0010687555 0.002113609 0.00015365494 9.902207e-05 0.00012292396 1.707277e-05 2.0487325e-05 6.146198e-05 6.487653e-05 4.097465e-05 0.023874562 0.0029092003 0.0034862598 0.0011882648 0.0009390024 0.00068632537 0.0026018904 0.0038584461 0.00037218642 0.00022194603 0.00062827795 0.00048145215 0.00019121503 0.00020487326 0.00013316762 0.00018097137 0.007583725 0.0009902207 0.0009151005 0.0006658381 0.00033804087 0.0004848667 0.0002014587 0.00035169907 0.0007614456 0.00021170235 0.00029365165 0.00021853147 0.00030730988 0.00019121503 0.00017755682 0.00029365165 0.0035340637 0.0005224268 0.00030048078 0.0004165756 0.00020487326 0.0003209681 8.877841e-05 0.00022877513 0.00045755025 8.877841e-05 0.00018780048 0.0001263385 0.0001638986 9.902207e-05 0.000119509394 0.00013316762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.214286 213.0 0.032863848 0.0046948357 0.0 0.014084507 0.0 0.0 0.0 0.0 0.0 0.0 0.0046948357 0.0 0.0 0.0 0.04694836 0.0 0.014084507 0.0 0.0093896715 0.0 0.0046948357 0.0093896715 0.0046948357 0.0093896715 0.0 0.0 0.0046948357 0.0 0.0 0.0 0.0 0.0 0.0046948357 0.0 0.018779343 0.0046948357 0.014084507 0.0046948357 0.0 0.014084507 0.0 0.0046948357 0.0093896715 0.0 0.0 0.0093896715 0.0 0.0093896715 0.0 0.0 0.0 0.014084507 0.014084507 0.0046948357 0.0 0.0 0.0 0.0 0.0 0.0 0.051643193 0.0 0.0 0.0046948357 0.0046948357 0.032863848 0.018779343 0.037558686 0.032863848 0.051643193 0.018779343 0.018779343 0.018779343 0.037558686 0.0 0.0046948357 0.04694836 0.014084507 0.037558686 0.07511737 0.028169014 0.0 0.07511737 0.032863848 0.028169014 0.014084507 0.0046948357 0.014084507 0.0093896715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.157407 0.0 0.0 0.0 1.0 147456.0 163840.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1268908300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 135168.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135168.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0043157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131316.0 0.0 1528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1528.0 147456.0 0.0 0.0 6016.0 147456.0 12.0 155648.0 28.0 139272.0 0.0 0.0 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 8200.0


Input: 0.056638077 0.008298116 0.0061736573 0.00564901 0.00575663 0.004970177 0.004194072 0.0054141087 0.0050405436 0.005628314 0.0037397917 0.0044548432 0.004948446 0.0031778915 0.0043254923 0.004639039 0.0050353697 0.0037573834 0.0049329237 0.0041568186 0.004358606 0.003180996 0.0041102525 0.003844307 0.0050736577 0.0033507042 0.0031675436 0.0029357467 0.00414854 0.0034469413 0.0037822188 0.0037936016 0.006162274 0.0038163674 0.0034810898 0.0030164616 0.0048842877 0.0041630277 0.0038370634 0.0037222 0.0047207884 0.0038898387 0.003335182 0.0030961419 0.004369989 0.0037263392 0.0037222 0.0035835358 0.0055186246 0.0039560664 0.003100281 0.0028995285 0.0036694247 0.0030702716 0.0026946368 0.00286538 0.004177515 0.0033186253 0.003513169 0.0033507042 0.0039984933 0.0032275622 0.00350696 0.0034634983 0.006591719 0.0039560664 0.0036166497 0.0032161793 0.004155784 0.0032213535 0.0035483523 0.0030744108 0.0050032907 0.0037729056 0.0037097821 0.0035845707 0.004130949 0.0031282208 0.00356077 0.0034676373 0.0051719644 0.0036269976 0.0036559722 0.0033289734 0.003926057 0.0033796788 0.0033610524 0.0035328304 0.0046348996 0.0036497635 0.0038080888 0.00350696 0.004111287 0.003388992 0.0036973646 0.003790497 0.0059149554 0.0036373457 0.0033517391 0.0029543734 0.0040088412 0.003057854 0.0032627457 0.0030350883 0.0049722465 0.003170648 0.0032110054 0.0030495755 0.0035804315 0.0028374402 0.0030878633 0.003192379 0.0045014094 0.0032917203 0.0032306667 0.0031458125 0.0038950127 0.0033455302 0.00329379 0.0036290672 0.0046235165 0.0033031031 0.0034790204 0.0031675436 0.004037816 0.0032016921 0.0034634983 0.0033444955 0.008646845 0.0046007507 0.0040171198 0.0035328304 0.0043772324 0.0034365933 0.003014392 0.0033869224 0.004534523 0.0038360287 0.002955408 0.0031965182 0.0037335828 0.0028095003 0.0028519274 0.002977139 0.0052361223 0.003206866 0.003492473 0.0030268098 0.0036694247 0.0031851353 0.0033010335 0.0032658502 0.0045479755 0.0028395099 0.003042332 0.0027080893 0.0035173083 0.003234806 0.0029812783 0.0031685783 0.0050032907 0.0034065838 0.0032803374 0.0027939782 0.003770836 0.0030164616 0.003068202 0.0031789264 0.004140262 0.0029957655 0.003127186 0.003015427 0.003641485 0.0028457185 0.0029150506 0.0030381926 0.004675257 0.0031137336 0.003839133 0.002859171 0.0035700833 0.0031530561 0.0029999048 0.003122012 0.004247882 0.0031468472 0.0033237992 0.0031716828 0.0036528679 0.0031903093 0.0033279385 0.0033538088 0.0067107216 0.004062651 0.0037149563 0.003336217 0.004112322 0.003260676 0.0033031031 0.0032389453 0.004341014 0.0033289734 0.003116838 0.003079585 0.0036487286 0.002982313 0.0030713065 0.002800187 0.004246847 0.0032730938 0.003083724 0.0029947308 0.0037118518 0.003029914 0.0029419556 0.002955408 0.003974693 0.0031085594 0.002725681 0.0026377225 0.0035286911 0.002950234 0.0035835358 0.0028891806 0.0049556894 0.0032327364 0.003383818 0.0029792087 0.0038101585 0.0030754458 0.003191344 0.0028995285 0.0044465647 0.005456536 0.003464533 0.0031416733 0.0037832535 0.0030744108 0.0032379103 0.0031892743 0.0046131685 0.0033196602 0.003416932 0.003037158 0.0037460006 0.0030868286 0.0033165556 0.0032513628 0.0043565365 0.003029914 0.00318617 0.0028571014 0.0040088412 0.0030940722 0.0042158025 0.0045117573 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099158935 0.062037118 0.06240877 0.05532351 0.06061737 0.059559945 0.054983474 0.05450038 0.060486745 0.05319363 0.052136205 0.05294897 0.056427587 0.050558362 0.05663959 0.053817715 4028.0 5.703823 22975.0 0.01710555 0.010489663 0.009357998 0.008618063 0.013449402 0.012491839 0.011751904 0.011534276 0.012622416 0.009793254 0.008487486 0.008574538 0.013841132 0.010576714 0.0117954295 0.009880304 0.016800871 0.011838956 0.008792166 0.0075299237 0.009793254 0.008487486 0.007834603 0.008313384 0.010272034 0.008443961 0.009575626 0.008835691 0.011534276 0.009009793 0.009793254 0.009314472 0.018063111 0.010881393 0.010402611 0.009096844 0.010794342 0.008879216 0.010663765 0.008356909 0.014232862 0.011577802 0.009749728 0.008966268 0.011403699 0.009357998 0.011621327 0.009575626 0.014755169 0.009575626 0.009967356 0.009053319 0.012143634 0.009357998 0.009619151 0.009749728 0.013667029 0.009183896 0.010576714 0.0095321005 0.011099021 0.009836779 0.010402611 0.010663765 0.01788901 0.010968444 0.009706202 0.008182808 0.013101197 0.008226333 0.009357998 0.008356909 0.015408052 0.0092709465 0.008879216 0.008661589 0.011316649 0.007965179 0.009880304 0.007965179 0.0131882485 0.007965179 0.008748639 0.008748639 0.011534276 0.0095321005 0.008356909 0.007965179 0.010968444 0.008879216 0.011969532 0.008574538 0.011273123 0.009053319 0.009967356 0.008792166 6.5548162 0.0 0.0 0.0 14.0 966364.0 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