Input: 0.31426868 0.0073887953 0.0057279137 0.0038115112 0.0067216037 0.0024416384 0.0022003136 0.0013485794 0.004847788 0.004592268 0.010057563 0.0009582011 0.0027468433 0.0028958968 0.0008020498 0.002462932 0.00285331 0.00054652954 0.00063170295 0.0005749207 0.0015260241 0.0022641937 0.0004684539 0.0007665609 0.0013414816 0.0007594631 0.0005110406 0.00024132473 0.00085883215 0.00038328045 0.0003052048 0.00073816977 0.05399286 0.0006813875 0.011973965 0.00028391145 0.0056214468 0.00083044096 0.0006458985 0.0019873802 0.0024700295 0.0022145093 0.0033217638 0.00070977863 0.0025410075 0.0028462124 0.0056498377 0.0042373785 0.0034992085 0.0031017326 0.0020157713 0.0037405333 0.0021861182 0.0013414816 0.0011001568 0.0016040996 0.0015473174 0.0015331218 0.00291719 0.0029029946 0.0038399023 0.0044999965 0.0035914797 0.00070268085 0.008907721 0.0021790203 0.0015473174 0.0030307546 0.0051033082 0.0059976294 0.0032152971 0.0018170333 0.0011143525 0.004017347 0.00022003138 0.00063170295 0.0039747604 0.0016111975 0.0017176643 0.0014692417 0.008652201 0.0011214502 0.003186906 0.004223183 0.00291719 0.0016395886 0.0020086735 0.0032365904 0.0006175074 0.0008730277 0.00024132473 0.0015899041 0.0009865923 0.0014834374 0.0013130904 0.0019944778 0.0008233432 0.015813868 0.003818609 0.009248415 0.009844629 0.03533278 0.0093264915 0.0047555165 0.008829646 0.017999986 0.0023706607 0.0012066236 0.01166876 0.0067003104 0.016431374 0.0185962 0.008055988 0.00063880073 0.021634052 0.014344626 0.027489726 0.009652989 0.0038115112 0.004819397 0.002420345 0.004386432 0.0010149834 0.0015473174 0.0010859612 0.0026048876 0.00039037823 0.00034069375 0.0023067805 0.0016182952 0.00078075647 0.005138797 0.0015047307 0.002881701 0.00022003138 0.0003619871 0.0027326476 0.0024487362 0.0008091476 0.008673495 0.00048974727 0.0025268118 0.00037618267 0.00045425832 0.00079495204 0.0001490535 0.000120662364 0.00021293359 0.00022003138 0.00011356458 8.517344e-05 0.00011356458 0.00029100923 9.227122e-05 9.9369005e-05 0.00014195572 0.00022003138 7.8075645e-05 0.0001490535 7.097786e-05 0.0004187694 0.0007168764 0.00016324909 0.0006884853 0.00036908488 0.00017744466 9.9369005e-05 8.517344e-05 0.00039037823 0.000106466796 0.00018454244 0.00013485794 0.00026971588 0.00012776016 0.00018454244 0.000106466796 0.0004116716 0.00074526755 0.0008162454 0.00022712916 0.0005110406 0.00022003138 0.00017744466 0.00027681366 0.0011001568 0.0002555203 0.0002555203 0.00073816977 0.0004116716 0.00022712916 0.00031940037 0.0006671919 0.002654572 0.000731072 0.00094400556 0.0014550461 0.0019093045 0.00024132473 0.0008446366 0.002093847 0.00048264946 0.0005678229 0.00017034687 0.000120662364 0.0066506257 0.00022712916 0.00024842253 0.00013485794 0.00042586718 0.00034779153 0.000298107 0.00016324909 0.0003052048 0.000120662364 0.00023422694 0.0003619871 0.0004684539 0.000106466796 0.00019164023 0.00034069375 0.00034779153 0.0001490535 7.097786e-05 7.097786e-05 0.00063170295 0.00017034687 0.00013485794 0.000120662364 0.00024842253 0.00013485794 0.000106466796 0.00013485794 0.0030804393 0.0017957399 0.00014195572 0.0009227122 0.0009723967 0.00016324909 0.0005252362 0.0002058358 0.0006742897 0.00014195572 0.000298107 0.00031940037 0.0004187694 0.00036908488 0.0005749207 0.0014337528 0.0015189262 0.00031230258 0.00042586718 0.00037618267 0.0010717657 0.00024842253 0.0008730277 0.022294147 0.080710016 0.0 3.231273e-05 0.0 0.0 0.0 0.0001077091 3.231273e-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 0.013442095 8.975758e-05 8.616728e-05 2.8722427e-05 0.000114889706 9.693819e-05 0.00016515395 0.00014361214 0.0001077091 1.077091e-05 1.4361213e-05 4.6673944e-05 0.00012925093 1.077091e-05 6.1035156e-05 0.00015797335 0.031767003 0.0003087661 0.00034466913 0.00020105699 0.00047392002 0.00046314913 0.0015330595 0.00080781826 0.00034466913 6.462546e-05 5.7444853e-05 3.5903035e-05 9.334789e-05 0.00014720243 3.231273e-05 8.975758e-05 0.005787569 0.0 2.154182e-05 3.5903035e-05 0.00027645336 0.00015079274 0.00067856733 0.00034107882 1.4361213e-05 1.4361213e-05 1.077091e-05 7.1806066e-06 3.5903033e-06 3.5903033e-06 0.0 7.1806066e-06 0.011162253 6.1035156e-05 0.00036621094 0.00092270796 0.00020105699 0.00013284122 0.0010375977 0.00044160732 4.308364e-05 6.821576e-05 5.385455e-05 5.7444853e-05 4.6673944e-05 3.5903035e-05 3.231273e-05 4.308364e-05 0.009270163 1.7951517e-05 0.0009442498 0.00017233456 0.00029799517 0.00025850185 0.0025634766 0.0011704388 0.0 0.0 0.0 0.0 7.1806066e-06 0.0 3.5903033e-06 0.0 0.022324506 0.0003303079 0.002319336 0.0007036994 0.00064266426 0.0005529067 0.0057121725 0.0027501723 0.00038416244 7.539637e-05 3.9493338e-05 8.975758e-05 0.000100528494 0.00016156364 6.1035156e-05 0.0005170037 0.055351704 0.0006211225 0.05867633 0.009367101 0.011492561 0.0076904297 0.09730081 0.054231532 0.0014433019 0.00030158547 0.00026209213 0.0003159467 0.00037339155 0.000114889706 0.00025850185 0.0036692899 0.04428998 0.002462948 0.018892176 0.008430032 0.0055434285 0.0048002354 0.032567643 0.020267263 0.0029153263 0.00026568244 0.0005098231 0.00091193704 0.0011058134 0.0002261891 0.00092629826 0.0029440487 0.03456385 0.0017951516 0.0075504077 0.009675868 0.007787368 0.0042437385 0.02069451 0.012253705 0.001798742 0.0003123564 0.00048110064 0.0015905043 0.0017377068 0.00056726794 0.0005098231 0.0047320197 0.011327407 0.0010519589 0.0012889189 0.0036118452 0.0015115177 0.0016623104 0.002060834 0.0014109892 0.0010591395 0.00020823759 0.0003231273 0.00027286305 0.00071447034 0.00019746668 0.00035544002 0.002355239 0.015930176 0.0016192268 0.0013643153 0.0008185892 0.005195169 0.0037087833 0.001515108 0.0014468923 0.007137523 0.00038057216 0.00039852367 0.0012458352 0.0021685432 0.00028363397 0.0021613627 0.006096335 0.034405876 0.0056870403 0.006573845 0.0037231445 0.011090447 0.01137049 0.003364114 0.006247128 0.016741585 0.00071447034 0.0016228171 0.002225988 0.012128045 0.0017089844 0.0045776367 0.01017133 0.0033892463 0.00083295035 0.0018059226 0.0015402401 0.0014109892 0.0010124656 0.0029655905 0.0024916704 0.0017125746 0.00056726794 0.00049905217 0.0006283031 0.0010842716 0.0005924 0.00060676126 0.00091911765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1351.0 38.664692 52236.0 0.124339536 0.0007848993 0.03108967 7.657554e-05 0.00045945324 0.00082318706 0.0010529137 0.0044988133 0.005130561 0.005034842 0.007868137 0.00044030938 0.005322 0.00635577 0.013324144 0.010816296 0.006164331 0.00635577 0.0037713454 0.004843403 0.0038862086 0.002010108 0.0021249712 0.0019526763 0.0016080864 0.0024121297 0.0067769354 0.0056091584 0.008653036 0.010337698 0.00842331 0.0008040432 0.0007848993 0.004345662 0.0034267555 0.0069109425 0.006145187 0.004919979 0.0061260434 0.004211655 0.0012634965 0.0089210505 0.00019143886 0.0008997626 0.007351252 0.0025844246 0.0024695613 0.0034267555 0.008059576 0.00049774104 0.0049008345 0.006987518 0.0044605252 0.0016080864 0.0014740792 0.0043839496 0.0005551727 0.000842331 0.00028715827 0.0021058274 0.00034458993 0.0020675396 0.00024887052 0.0024121297 0.00022972662 0.036947697 0.009150777 0.021785742 0.023164101 0.0840608 0.011352324 0.011141742 0.016119152 0.042173978 0.00088061875 0.002354698 0.02670572 0.015946856 0.037904892 0.04192511 0.018148404 0.0010337698 0.052492533 0.033980396 0.05863772 0.018665288 0.00867218 0.0054177195 0.0042690863 0.009725094 0.0024312735 0.003503331 0.00024887052 0.002488705 3.828777e-05 3.828777e-05 5.3417845 0.0 17.0 0.0 3.0 140889.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.056713197 0.00830394 0.0061652665 0.00565443 0.005752867 0.004958118 0.0041996343 0.005422326 0.00505241 0.005634743 0.0037509687 0.0044731856 0.004956045 0.003168636 0.0043208674 0.0046441555 0.005036867 0.00376962 0.004933249 0.004157151 0.004346772 0.0031717445 0.004111559 0.0038400802 0.0050731334 0.0033489312 0.003156202 0.002936532 0.0041592233 0.003433898 0.0037851627 0.0037913797 0.0061694114 0.0038141757 0.0034836347 0.0030256433 0.004892838 0.0041592233 0.0038380078 0.003716775 0.004722905 0.0038939617 0.0033364971 0.0030981759 0.0043695676 0.0037333537 0.003722992 0.0035820715 0.0055186907 0.003943698 0.0031023207 0.002907519 0.0036774 0.0030681267 0.0026857767 0.0028650356 0.004168549 0.0033085202 0.003526118 0.0033541122 0.004005869 0.0032173365 0.0035043582 0.0034587663 0.006594245 0.003943698 0.003618338 0.003219409 0.0041540423 0.0032214813 0.0035364798 0.0030629458 0.004996456 0.0037685838 0.00369916 0.003590361 0.004123993 0.0031282252 0.003561348 0.0034680918 0.0051612086 0.0036276635 0.003652532 0.0033344247 0.0039323 0.0033727635 0.003364474 0.0035375159 0.0046483 0.00364217 0.0038058863 0.0035064304 0.004111559 0.0033862337 0.0036794725 0.003792416 0.0059062215 0.0036235189 0.003341678 0.0029572556 0.00400276 0.0030546563 0.003266037 0.0030246072 0.004976769 0.003168636 0.0031986854 0.0030494754 0.0035748184 0.0028287694 0.0030867779 0.003191432 0.004509452 0.0032877966 0.0032245899 0.0031437678 0.0038898168 0.003329244 0.003288833 0.0036318083 0.0046234317 0.0032867605 0.0034836347 0.0031717445 0.004030737 0.0031945405 0.0034712004 0.0033437505 0.008663494 0.0045995996 0.00401105 0.0035250818 0.004364387 0.0034390788 0.0030173538 0.0033883061 0.0045488267 0.0038276461 0.0029510385 0.0031955768 0.003728173 0.0027935393 0.002850529 0.0029904132 0.005226488 0.0032100833 0.0034991773 0.0030225348 0.0036639299 0.0031821064 0.0033043756 0.00325982 0.0045405375 0.002839131 0.0030505117 0.0027044278 0.0035085029 0.0032297706 0.0029862686 0.0031479124 0.005013035 0.0034059212 0.0032691455 0.00279872 0.0037779096 0.0030111368 0.0030660543 0.003185215 0.004143681 0.0030049197 0.0031168272 0.0030152816 0.0036452785 0.0028360225 0.0029209892 0.0030349689 0.004665915 0.0031199357 0.0038462973 0.0028650356 0.0035654928 0.0031603468 0.0029904132 0.0031188994 0.0042524794 0.0031437678 0.0033344247 0.0031831425 0.0036463146 0.0031955768 0.003335461 0.0033489312 0.0067320564 0.004060786 0.0037261005 0.003341678 0.004119849 0.003249458 0.003300231 0.003226662 0.0043312293 0.0033344247 0.0031137187 0.0030919588 0.0036494234 0.0029914496 0.0030753799 0.0027956115 0.0042462624 0.003267073 0.0030919588 0.0029966303 0.003717811 0.0030297881 0.0029354957 0.0029531107 0.003983073 0.0031054292 0.0027313684 0.0026339677 0.0035333713 0.0029406766 0.0035799993 0.002889904 0.004961226 0.0032359879 0.0034038487 0.0029759067 0.003810031 0.0030764162 0.003196613 0.0029106275 0.0044327746 0.0054482305 0.0034608387 0.0031344423 0.003792416 0.0030898864 0.0032504944 0.0031893598 0.00461307 0.003329244 0.0034214638 0.0030422222 0.0037374985 0.0030878142 0.0033168097 0.0032390964 0.0043550613 0.0030339328 0.0031872874 0.0028650356 0.004012086 0.0030878142 0.0042224303 0.0045177415 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09923525 0.06201172 0.062455375 0.055316404 0.060564518 0.059548 0.054916333 0.054465413 0.06047786 0.0531469 0.052128304 0.052969955 0.05644189 0.050552934 0.05667124 0.05383755 4018.0 5.703335 22916.0 0.01714959 0.010429394 0.009338453 0.008596614 0.013440391 0.012480363 0.011782161 0.011476697 0.012524 0.00977483 0.008509339 0.008596614 0.013920405 0.01051667 0.011782161 0.010036656 0.016756851 0.011869436 0.008771164 0.0075493106 0.009818467 0.008465701 0.0078111365 0.008334788 0.010254844 0.008465701 0.009643917 0.0088584395 0.011563973 0.008945715 0.009731192 0.009251178 0.018022342 0.010909408 0.010385756 0.009076628 0.010953045 0.008814801 0.010647583 0.00829115 0.014269506 0.011607611 0.00977483 0.008945715 0.011476697 0.009338453 0.011694886 0.009556642 0.014793158 0.009600279 0.009993018 0.008989353 0.0120876245 0.009338453 0.009556642 0.00977483 0.013702217 0.00920754 0.010560308 0.009556642 0.011127597 0.0099057425 0.010385756 0.010778495 0.017935067 0.011040322 0.009687554 0.008203875 0.01309129 0.008247512 0.009382091 0.008334788 0.015447722 0.009338453 0.008902078 0.008683889 0.011345784 0.007985687 0.0099057425 0.007854774 0.013222203 0.008029325 0.008771164 0.008814801 0.01143306 0.009425729 0.008203875 0.007898412 0.01086577 0.0088584395 0.011913074 0.008509339 0.011345784 0.008989353 0.009993018 0.008771164 6.554568 0.0 0.0 0.0 14.0 965084.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.0018287811 0.0017454443 0.001438553 0.0075135455 0.008526816 0.0030947076 0.0014736074 0.0015443775 0.0014669934 0.0029697025 0.003803071 0.027128793 0.0012705565 0.001129016 0.0011660546 0.001273202 0.002529869 0.034564953 0.001595967 0.0015536372 0.0063018543 0.001338681 0.0013300828 0.0013519091 0.0067648366 0.007850861 0.001967676 0.008431573 0.0013155319 0.0013254529 0.0037951341 0.0014822056 0.006501598 0.030771805 0.0030940464 0.0021502234 0.008989137 0.0020602725 0.001537102 0.0016965003 0.007895175 0.0069890525 0.011598375 0.002086067 0.0014154038 0.0012136757 0.001523874 0.0041708113 0.0016032425 0.0011217406 0.0011402599 0.0011310002 0.001109174 0.007694109 0.0012090459 0.0011594406 0.0035735639 0.002680669 0.026789494 0.0037448674 0.0019121179 0.0014729459 0.001455088 0.0015000635 0.0019174092 0.0014769144 0.0011991248 0.0014134196 0.0049651572 0.024637947 0.0015542986 0.0022388513 0.001373074 0.0015490074 0.0035299114 0.003093385 0.0012626196 0.0016283758 0.0014722846 0.0019564321 0.0010278213 0.0012255809 0.0010165775 0.0011786213 0.0030907393 0.0015258582 0.0011594406 0.0010886705 0.0015126301 0.0012242582 0.0025014286 0.007272795 0.0039009587 0.0013737354 0.01171875 0.0020602725 0.0014220178 0.001537102 0.0011753143 0.0010595686 0.0017375074 0.0067172158 0.0012751862 0.001379688 0.0015754636 0.001533795 0.002295732 0.0034029218 0.0020014076 0.00412782 0.027587809 0.0035854692 0.0023631952 0.003299743 0.0020000846 0.002224962 0.024735173 0.005133154 0.0021158303 0.0047072098 0.0014034986 0.001009302 0.0010727968 0.0014954336 0.0012818003 0.0010794108 0.0015800933 0.0010231915 0.0023949426 0.013562744 0.006400403 0.0013710898 0.0053362045 0.0017150197 0.0012282266 0.0014590565 0.001445167 0.0015258582 0.0024260287 0.011249153 0.001156795 0.0011138037 0.0011997862 0.0012751862 0.0019385741 0.003580178 0.0013241301 0.0014636863 0.001376381 0.001338681 0.0015708337 0.0016673986 0.0012586511 0.0010761038 0.0015688494 0.0010708126 0.0014782372 0.0014504582 0.003244185 0.002942585 0.005022038 0.026407203 0.0017864513 0.0020721776 0.0022110725 0.0015595899 0.0018803705 0.0019451882 0.0013545547 0.0014345845 0.0011918494 0.0017322162 0.0015437162 0.0013949003 0.003326199 0.009411774 0.007670298 0.0012659266 0.0012123529 0.0010800721 0.0011118195 0.0014094512 0.0011422441 0.000971602 0.0040596956 0.0014021758 0.011862936 0.002485555 0.0017943882 0.0015165986 0.0028737988 0.002111862 0.0087497085 0.0070247683 0.0012116915 0.0016693828 0.00609748 0.03064746 0.0016072108 0.002529869 0.0013300828 0.0013049494 0.00151726 0.0040577115 0.007748344 0.006900424 0.0067469785 0.0023592268 0.0011118195 0.0012950284 0.0010655213 0.0013102406 0.0016918705 0.0016111793 0.0009841686 0.0012064002 0.0015126301 0.0013247916 0.0013036266 0.0019015356 0.001979581 0.0028546182 0.02628352 0.0023109445 0.007710644 0.0010443564 0.0011726686 0.001115788 0.0016693828 0.0012017705 0.0012751862 0.0011515038 0.0016131635 0.001664753 0.0021667583 0.008723915 0.0035107306 0.003634413 0.029849809 0.007123979 0.007782737 0.009627392 0.0017500741 0.0018922759 0.030670611 0.005619947 0.0036192008 0.0015906758 0.0011217406 0.001012609 0.001047002 0.001109174 0.0012639423 0.0012374863 0.0013082564 0.0010655213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.481462e-05 4.634534e-06 0.0043902276 7.315943e-05 0.010930879 2.1517479e-05 0.011009004 0.010960673 1.9862289e-06 8.606991e-06 0.010915652 8.93803e-06 0.004409759 9.6663134e-05 0.0044021453 0.0043862555 5.0317798e-05 7.481462e-05 0.0029048596 8.342161e-05 0.0006720074 7.249735e-05 0.0007170286 0.0006902145 8.1435384e-05 4.8993643e-05 0.00065611757 8.474576e-05 0.0028919491 9.864936e-05 0.0028959217 0.0028922802 3.012447e-05 2.482786e-05 0.0006746557 2.9462393e-05 0.0007829052 3.2772776e-05 0.00080243644 0.000798464 2.846928e-05 1.9862287e-05 0.0007673464 3.90625e-05 0.00067035225 5.0648836e-05 0.00068094546 0.0006693591 0.003029661 0.0029313427 0.00128509 0.0030528337 0.0019762977 0.0014178363 0.0032858846 0.003264367 0.00012281515 8.838718e-05 0.0019233315 0.0014568989 0.0011692267 0.002993909 0.0013162076 0.0011943856 0.00833554 0.013596729 0.013171677 0.008007812 0.0025797803 0.003255098 0.00433031 0.0023841367 0.007021981 0.0011225503 0.0026767743 0.0030081435 0.012717161 0.007162672 0.0072381487 0.008476231 0.01892545 0.026420485 0.018996293 0.01490135 0.005651152 0.009863943 0.0061103017 0.0046709483 0.014348848 0.003454714 0.009646783 0.008624205 0.01966201 0.010358514 0.012734375 0.010884865 0.01509567 0.01711732 0.02521683 0.011946836 0.008571571 0.0082925055 0.0108838715 0.008540122 0.012586732 0.0045977887 0.011783965 0.009829846 0.023337858 0.008629833 0.021155985 0.018006489 0.021755826 0.023395458 0.027123941 0.021248676 0.023971796 0.019953324 0.025151616 0.025091367 0.020709746 0.019027079 0.02579085 0.020948425 0.026729343 0.020400224 0.024277344 0.025272444 3372.0 5.7256823 19307.0 0.038069095 0.035220385 0.010410732 0.015538406 0.016108148 0.011187652 0.0066815144 0.008597918 0.0073548453 0.006422541 0.0045061377 0.0058527994 0.0055420315 0.007872792 0.0058527994 0.0053866473 0.0042471644 0.006888693 0.0051794685 0.004402548 0.004609727 0.006059978 0.0045579323 0.0038328068 0.007251256 0.007199461 0.008494329 0.0050758794 0.0047133164 0.0037292175 0.00419537 0.00497229 0.011757393 0.0103071425 0.006992283 0.007769203 0.032009117 0.052571606 0.0091158645 0.011809188 0.004402548 0.007458435 0.004920495 0.004454343 0.0055420315 0.006422541 0.004661522 0.005127674 0.0045061377 0.0071476665 0.0031594757 0.004661522 0.0050758794 0.0075102295 0.004765111 0.0050240844 0.004609727 0.0045061377 0.0032630651 0.0053866473 0.0055420315 0.007562024 0.005956389 0.003936396 0.009012275 0.0075102295 0.008908686 0.0065261303 0.0094784275 0.00662972 0.009685607 0.006785104 0.011291241 0.00994458 0.010980474 0.017144041 0.018853266 0.014450718 0.034184493 0.05106956 0.012068162 0.015849173 0.009167659 0.010203553 0.04552753 0.04687419 0.014968664 0.010876884 0.008960481 0.005283058 0.006785104 0.0063189515 0.008494329 0.006422541 0.008753302 0.0070440774 6.125888 0.0 0.0 0.0 3.0 1511936.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1540734700.0 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 5.0 12.0 4.0 0.0 4.0 0.0 1993216.0 512.0 4096.0 2.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.12239357 0.0028020146 0.0012482072 0.0012237591 0.0019436175 0.00076875434 0.00080950104 0.00075109745 0.00217859 0.000645156 0.00060984225 0.000571812 0.0015198517 0.0005908271 0.000456363 0.0018865721 0.0015891212 0.00048216924 0.00040475052 0.00051884126 0.00082987436 0.00064787245 0.0004916768 0.00035313805 0.0006954103 0.00046587057 0.00034906337 0.0003966012 0.0006845445 0.0030600769 0.00033955582 0.00048760214 0.0011653556 0.0004848857 0.00041425807 0.00058675243 0.0008746958 0.00044278076 0.00040475052 0.0005134084 0.000608484 0.000468587 0.0004020341 0.00058946887 0.00053921464 0.0011599227 0.00046994523 0.00032054068 0.0009589056 0.000645156 0.0008475313 0.0016556741 0.0007157836 0.00076332147 0.0006125587 0.00050933374 0.00079048594 0.0007836948 0.0006247827 0.0011096684 0.0004971097 0.00076196325 0.0004740199 0.00085160596 0.00083259086 0.0007320823 0.00057045376 0.00065873825 0.0006777534 0.002057708 0.000912726 0.0006071258 0.0005500804 0.00053649815 0.0003449887 0.00032054068 0.0005623044 0.0010417572 0.00060576753 0.0003517798 0.0015035531 0.000723933 0.0004740199 0.0008176504 0.00050797546 0.0010376825 0.000991503 0.0009453234 0.0005527969 0.0011572061 0.00040746696 0.0005324235 0.0005147666 0.0011558479 0.00091951713 0.000723933 0.00082987436 0.0008828451 0.00048624392 0.0006899774 0.0006437978 0.0012645058 0.0013500738 0.00034906337 0.00079048594 0.00075924676 0.0011110266 0.0004848857 0.0007932024 0.0006016929 0.0007769037 0.0008176504 0.00079184416 0.0004332732 0.0009643385 0.00088012865 0.0024896231 0.00253037 0.0006424396 0.0004794528 0.00054600573 0.0005201995 0.00049982616 0.00037486962 0.0006668876 0.0024013387 0.0004740199 0.000645156 0.0008964273 0.00071985833 0.00037486962 0.002822388 0.0007945606 0.0017493916 0.00064923073 0.0008339491 0.0006736787 0.0020712905 0.0006071258 0.00571812 0.0004387061 0.0016094946 0.00030695845 0.00046451236 0.0005623044 0.0003857354 0.00030288377 0.0003273318 0.0006139169 0.00039388472 0.00029880911 0.00032054068 0.0004617959 0.00035585448 0.0003979594 0.00034770515 0.00041969097 0.00038437717 0.00034227225 0.00037079494 0.0006777534 0.0005731702 0.00035992917 0.00039388472 0.00035313805 0.000316466 0.00023768906 0.00030560023 0.00048352746 0.00032597358 0.00033004823 0.00045228834 0.0004264821 0.00032461536 0.0003966012 0.00033819757 0.0006533054 0.00036128738 0.000316466 0.0004726617 0.0005011844 0.0004373479 0.00038981007 0.0005908271 0.0005935436 0.000431915 0.0004088252 0.00034770515 0.0004033923 0.0005921853 0.00039524297 0.00037215315 0.001953125 0.0010634888 0.0007415899 0.0013432828 0.0008583971 0.00038981007 0.0008271579 0.0008746958 0.00077962014 0.0008475313 0.00039524297 0.00032054068 0.0011639973 0.0005527969 0.0004672288 0.0004971097 0.0006967685 0.0005134084 0.00054600573 0.00045364656 0.0005419311 0.00036128738 0.00048352746 0.00045500477 0.00060576753 0.0007456645 0.00034091403 0.0006424396 0.00041018342 0.000608484 0.0003870936 0.0004373479 0.0007741872 0.00049846794 0.00030288377 0.0003572127 0.00053649815 0.00052834884 0.00040746696 0.00044685544 0.0026811326 0.00091408426 0.00038981007 0.0012305502 0.0011205341 0.00042376565 0.00038437717 0.00031918247 0.0010594141 0.00046451236 0.0004780946 0.0005419311 0.0007130672 0.00037079494 0.00077011256 0.0008040682 0.0012780881 0.0005120502 0.00047130347 0.00045228834 0.0013174765 0.0004740199 0.0010336079 0.68951696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.0052160406 0.00020877764 0.0003209871 0.00013125109 0.00025774178 0.00014757247 0.00036995125 0.00026250217 0.00014893258 4.7604022e-05 4.4203734e-05 4.8964135e-05 5.1684365e-05 8.3647064e-05 0.0001006485 0.00091603736 0.00087455387 7.208609e-05 2.1761838e-05 0.00012037017 8.908752e-05 1.8361552e-05 3.2642758e-05 2.1761838e-05 1.4961264e-05 1.8361552e-05 1.8361552e-05 2.7882355e-05 1.7001435e-05 1.36011495e-05 1.1560976e-05 2.0401723e-05 0.0030827005 0.0002523013 0.00030806602 0.000119690114 0.0003182669 0.00017205454 0.0013662354 0.0010404879 8.63673e-05 6.052511e-05 2.1761838e-05 3.0602587e-05 5.2364423e-05 2.1081782e-05 1.2921091e-05 1.8361552e-05 0.003386686 0.0006181722 0.00042707607 0.00024686084 0.00026114206 0.00014009184 0.001029607 0.0010438882 0.00022305884 0.00018293546 7.8206605e-05 9.7248216e-05 8.092684e-05 6.256528e-05 4.6243906e-05 0.0004318365 0.004391131 0.00065285515 0.0003835524 0.002699148 0.00043999718 0.0003849125 0.001005805 0.00087455387 0.00037063131 0.00038967293 0.00033322815 0.00032030707 0.00050052226 0.00037811193 0.00026250217 0.0005406457 0.002163943 0.00027406315 0.00019313632 0.0002795036 0.00020809758 0.00030262556 0.00020809758 0.00033186804 0.001088772 0.00024346057 0.00021353803 0.00027882354 0.0004746801 0.0001727346 0.0002448207 0.0016783818 0.008807424 0.0016056156 0.0010432082 0.0015641322 0.0016838223 0.0020401725 0.0013118308 0.0024543274 0.0047882847 0.00051276333 0.00058144913 0.00076642475 0.002296554 0.0007868265 0.0019388438 0.0040300204 0.012400168 0.0038185227 0.0018633574 0.0029378482 0.0036553089 0.005052827 0.0024012828 0.004642752 0.009270543 0.00073106174 0.0010003645 0.0011445367 0.005006583 0.001999369 0.0044686575 0.007851943 0.0039586145 0.0025488553 0.0023591192 0.0024652083 0.0025128124 0.0025508956 0.0023380376 0.0026257017 0.0030289758 0.0021925052 0.0023387175 0.0022475899 0.002831079 0.0024393662 0.0024815297 0.002863722 587.0 10.637138 6244.0 0.033632286 0.0027226137 0.0030429212 0.0028827675 0.004484305 0.0033632286 0.001921845 0.009449071 0.0067264573 0.0027226137 0.0028827675 0.0040038438 0.00512492 0.0020819986 0.00512492 0.0022421526 0.011851378 0.013452915 0.019378604 0.019538756 0.016495837 0.016175529 0.012011531 0.013292761 0.016495837 0.010730301 0.007367072 0.007367072 0.0070467647 0.010730301 0.0054452275 0.009449071 0.0054452275 0.0083279945 0.004324151 0.008808456 0.007367072 0.008808456 0.0083279945 0.00896861 0.008488148 0.0054452275 0.0027226137 0.003683536 0.0083279945 0.0054452275 0.004324151 0.003203075 0.01969891 0.0048046126 0.005605381 0.011210762 0.00896861 0.004324151 0.008808456 0.010890455 0.0072069187 0.00384369 0.00384369 0.0033632286 0.004484305 0.0040038438 0.0033632286 0.008648302 0.010089686 0.030269058 0.0070467647 0.024983985 0.020179372 0.05733504 0.0080076875 0.00896861 0.009929532 0.024023062 0.008488148 0.0033632286 0.030429212 0.007367072 0.023382448 0.030589366 0.0136130685 0.0030429212 0.0384369 0.022261372 0.047725815 0.016175529 0.007527226 0.0041639972 0.009929532 0.0083279945 0.0033632286 0.0028827675 0.0040038438 0.0030429212 0.0027226137 0.0040038438 6.1048083 0.0 0.0 0.0 4.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 23.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6851864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4288275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9310565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.26138085 0.037060697 0.03170547 0.01776926 0.020395609 0.008620418 0.027888196 0.009251372 0.010158369 0.0049924287 0.018684143 0.005055524 0.0035806675 0.004669064 0.005678592 0.0031232254 0.005607609 0.010505395 0.011980251 0.010071613 0.0032573033 0.0042589437 0.0042116223 0.00473216 0.007863272 0.001869203 0.0018139946 0.0040617706 0.0021689066 0.0039671273 0.0023187583 0.0074610384 0.007918481 0.0024055145 0.0016562559 0.0017903338 0.0032809642 0.002247776 0.0032020947 0.0016168213 0.016270742 0.0015773866 0.013849454 0.0045270994 0.0043457 0.004471891 0.0025711402 0.0018061077 0.0050870716 0.0023187583 0.002594801 0.001758786 0.00082812796 0.001648369 0.0030995647 0.0010410751 0.0036910847 0.0012145877 0.0040617706 0.0026184618 0.0012461354 0.0011357183 0.0034939114 0.0007571456 0.0011357183 0.0033125118 0.0017114645 0.0033519466 0.0023897407 0.002713105 0.0017035775 0.0012145877 0.0020348288 0.0028550697 0.0015852735 0.0009148842 0.0017430122 0.0022793235 0.002579027 0.005970408 0.0023976276 0.0009306581 0.002350306 0.0031153385 0.00354912 0.0022635497 0.0016956906 0.0012619093 0.0024843838 0.001869203 0.0008439018 0.00082812796 0.0010883968 0.0013092309 0.0009858666 0.003643763 0.00077291945 0.007169222 0.0025001578 0.003178434 0.0040775444 0.013328916 0.0011357183 0.0032020947 0.0016010473 0.0063095465 0.0006230677 0.0009937536 0.004006562 0.003975014 0.005292132 0.016057795 0.011357184 0.0017035775 0.015679223 0.009803457 0.011096914 0.004716386 0.0011357183 0.00089911034 0.0009937536 0.0034387028 0.0016956906 0.0037778409 0.00046532904 0.0019638464 0.002492271 0.00046532904 0.0037147454 0.003170547 0.002594801 0.0011593791 0.0011199445 0.0010726228 0.008407471 0.00056785916 0.0005757461 0.0009700928 0.00068616314 0.00047321597 0.000709824 0.0011514922 0.0013250047 0.00077291945 0.0006703893 0.0014433088 0.0011436053 0.0005757461 0.00078080635 0.001175153 0.0010647359 0.00088333647 0.0007571456 0.0006467285 0.0009622058 0.0003785728 0.00046532904 0.0011909269 0.00052053755 0.00077291945 0.0013171178 0.00077291945 0.0011278314 0.00073348475 0.00063095463 0.0006467285 0.0007650325 0.0005520853 0.0005363114 0.0005994069 0.000583633 0.0055918354 0.0007650325 0.0005441984 0.0004022336 0.00078080635 0.00060729386 0.0010883968 0.0006467285 0.00065461546 0.0008675626 0.00065461546 0.0005284245 0.0009148842 0.0005757461 0.0010095274 0.00082812796 0.00066250237 0.0005757461 0.00041800743 0.0009937536 0.0005047637 0.00061518076 0.0006467285 0.00051265064 0.000709824 0.0011909269 0.0005994069 0.0015616127 0.0008123541 0.00066250237 0.00093854504 0.0008044672 0.0006388416 0.00082812796 0.00078080635 0.00063095463 0.00059152 0.00068616314 0.00085178873 0.00065461546 0.00072559784 0.0008439018 0.00073348475 0.00063095463 0.00051265064 0.00083601486 0.00061518076 0.0007492586 0.0010726228 0.0009306581 0.0005994069 0.0007965802 0.00093854504 0.0005520853 0.00082024105 0.00085178873 0.0009779797 0.00087544956 0.00082812796 0.0007650325 0.00052053755 0.00065461546 0.0008439018 0.0006467285 0.0004968768 0.00072559784 0.00059152 0.0004811029 0.0009069973 0.00078080635 0.00059152 0.00085178873 0.00065461546 0.0009069973 0.00068616314 0.0005757461 0.0010883968 0.0009700928 0.00092277117 0.00072559784 0.00033913812 0.00038645972 0.0004337813 0.0012067007 0.0025395923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0068479446 2.8016137e-05 8.404841e-05 0.00019211066 0.0001480853 8.8050714e-05 0.0005843366 0.00017610143 1.600922e-05 0.0 0.0 8.00461e-06 0.0 0.0 1.2006916e-05 1.2006916e-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 0.03414767 0.0057313014 0.0028656507 7.60438e-05 0.003209849 0.00026014986 0.00016809683 0.0008444864 0.000116066854 0.00014008068 0.00039222592 0.00016009221 0.00020811988 8.8050714e-05 0.0004442559 0.00032818902 0.010077805 0.000144083 0.00044025359 0.00025214523 0.0075323386 0.0075723617 0.035696562 0.020251665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05666464 0.0072161565 0.005707287 0.0022613024 0.006695857 0.004126377 0.004486584 0.0052150036 0.0013647861 0.0005803343 0.0007044057 0.00050028815 0.00044025359 0.00035220286 0.0003642098 0.0016809682 0.17508085 0.030821754 0.034195695 0.011606686 0.008248751 0.0072681867 0.016517514 0.02489834 0.008388832 0.0026895492 0.0024093878 0.0019691342 0.0020611873 0.0031258005 0.0026135053 0.004170402 0.09491467 0.015408875 0.01694576 0.010105821 0.0047507365 0.0038862384 0.00595543 0.011254483 0.00545114 0.002805616 0.0034659964 0.0030177382 0.0029016715 0.0025494685 0.0024814294 0.0026295146 0.08100666 0.023617603 0.009465452 0.005491163 0.004126377 0.0038622248 0.004118372 0.004126377 0.010361969 0.005675269 0.0073122117 0.0041664 0.005126953 0.0044545657 0.0042944737 0.0031217982 0.0056072297 0.00090452103 0.00049628585 0.001704982 0.00088050717 0.0010205879 0.001716989 0.0011486616 0.0006003458 0.00027615906 0.0005723297 0.00046826972 0.00032818902 0.00032018442 0.00016409451 0.00018410604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007984599 0.0027215676 0.0032618789 0.0043104826 0.0018090421 0.0022733095 0.0048147733 0.0036461002 0.0020171618 0.001140657 0.0013487769 0.0010125833 0.0011886847 0.0011366548 0.0009965741 0.0013207608 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 971.0 13.359424 12972.0 0.009173605 0.00030835645 0.0004625347 0.0006167129 0.00030835645 0.0005396238 0.0010021585 0.0005396238 0.00084798026 0.00038544557 0.00015417823 0.00038544557 0.0006167129 0.0018501388 0.008865248 0.0045482577 0.012565526 0.008556892 0.005396238 0.0035460992 0.0018501388 0.0042399014 0.0038544557 0.002004317 0.003314832 0.0034690101 0.0016959605 0.0010021585 0.0040857233 0.0005396238 0.0042399014 0.00023126735 0.0005396238 0.010329941 0.0040857233 0.01641998 0.008865248 0.0043940796 0.006167129 0.002543941 0.002543941 0.0071692877 0.00015417823 0.0006167129 0.004779525 0.003314832 0.0039315447 0.005319149 0.008479803 7.708911e-05 0.0057045943 0.015726179 0.012488437 0.003237743 0.008325624 0.0043169903 0.0010792476 0.00023126735 0.0016959605 0.00015417823 0.00077089114 0.00015417823 0.00015417823 0.029525131 0.0011563367 0.056197964 0.010869565 0.024128893 0.024128893 0.1147086 0.00524206 0.023820536 0.0070151095 0.044017885 0.0014646932 0.0043169903 0.030064754 0.029216774 0.042244837 0.04509713 0.022587111 0.0016188715 0.06082331 0.038313292 0.09057971 0.025593586 0.0037002775 0.0030064755 0.0035460992 0.018963922 0.0021584951 0.00015417823 0.0 0.00023126735 0.00030835645 0.00023126735 5.2023654 1.0 18.0 0.0 1.0 126792.0 147456.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1541673900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 117760.0 512.0 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 -117760.0 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 -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 -5.922334 0.0 3.1863627 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 -117296.0 0.0 888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 125072.0 888.0 131072.0 0.0 0.0 6984.0 119808.0 12.0 139264.0 28.0 124760.0 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: 0.007884643 0.003966975 0.0040839957 0.0039619203 0.0039100386 0.0039279684 0.0038478563 0.0040091295 0.0038952557 0.0038967817 0.0038500498 0.0038701731 0.003879138 0.0038787567 0.0038440414 0.0039418926 0.0043883263 0.0037889166 0.0038104707 0.0038407033 0.0038195308 0.003883525 0.0038332643 0.003819817 0.0038354578 0.0038634017 0.0038849558 0.00385396 0.0038384146 0.0038553905 0.0038368886 0.0038809502 0.0039441814 0.0038073233 0.0038284957 0.0038655952 0.0038658814 0.00386035 0.0038544368 0.0038250624 0.003806942 0.0038679796 0.0038259209 0.0038563444 0.003806179 0.003876086 0.0038391773 0.0038945882 0.0038532924 0.0038414663 0.003886577 0.003987003 0.0038381284 0.0038710316 0.0038671212 0.003883239 0.0038512896 0.0038531017 0.003878089 0.003926156 0.0038423247 0.003901169 0.003884479 0.0038168605 0.004078655 0.0039788014 0.0038451857 0.0039179544 0.0038522433 0.003982425 0.0038435645 0.003836507 0.003832883 0.0038513849 0.003861685 0.0038731296 0.0038159068 0.003914807 0.0039020272 0.0038661675 0.0039626835 0.0038425154 0.0039062235 0.0038812363 0.0038635924 0.0039406526 0.0039626835 0.003876277 0.0038133317 0.0038712223 0.0038772307 0.0039587733 0.0038466165 0.003926347 0.003929685 0.0038540554 0.0038195308 0.0038147622 0.003855009 0.0038723666 0.0039511435 0.0039083217 0.0039881477 0.0038628296 0.0039229137 0.0038930622 0.0039274916 0.0038705547 0.003917382 0.003971267 0.003983379 0.00392072 0.0038907733 0.0038338366 0.003951811 0.0038984984 0.0039989245 0.00392587 0.0039391266 0.0039336905 0.0038954467 0.0038474747 0.0038839066 0.003915856 0.0038502405 0.0038792335 0.003872939 0.0038849558 0.004248607 0.0038297356 0.0037810009 0.003916142 0.0038446137 0.0038819038 0.003846521 0.003835172 0.0038655952 0.003929494 0.0038530063 0.004259098 0.0038361256 0.0039740326 0.0038528156 0.0038132365 0.0039334046 0.0038420386 0.0038749417 0.0038400358 0.003826016 0.0038350765 0.003889915 0.0038902012 0.0037776628 0.0039226273 0.00382058 0.0038840973 0.0038660723 0.0038825714 0.0038690288 0.0038235364 0.0038401312 0.0039212923 0.0038292587 0.0038308802 0.003828782 0.003867598 0.0038510035 0.003872462 0.0038731296 0.0038331691 0.0038377468 0.0039060328 0.0038556766 0.0039350255 0.003895542 0.003845758 0.003877326 0.003869887 0.0038982125 0.0038666443 0.003906319 0.0039494266 0.00395534 0.0039328323 0.0038617805 0.0039212923 0.003867312 0.0039419876 0.003874465 0.0038946837 0.0038750372 0.0038771352 0.0039664027 0.0038277328 0.0038288774 0.0039404617 0.0038520526 0.0038378423 0.0038986893 0.0038738926 0.0038650231 0.0038590147 0.0038397496 0.0038589193 0.0038867677 0.0038934438 0.0038804733 0.0038701731 0.0038682658 0.003909371 0.0038931577 0.0038848603 0.0038907733 0.0038851465 0.0038905826 0.003889152 0.0039210063 0.0039028856 0.0039428463 0.0039660214 0.0038919179 0.003949904 0.0039182403 0.0038499543 0.0038902012 0.0038400358 0.003835172 0.0038369838 0.0038750372 0.0038569164 0.003819054 0.003873225 0.0040800855 0.003893539 0.003839082 0.00393617 0.003940271 0.003988529 0.003951811 0.003894302 0.003948187 0.0038811408 0.003842897 0.003826207 0.0038790426 0.0038500498 0.003912995 0.003940939 0.003939508 0.0038831437 0.0038795196 0.0038921086 0.0039170007 0.0038713175 0.0038846696 0.0045928024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001779427 1.7407956e-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 0.00027533187 0.00010487698 9.061676e-07 9.538606e-07 1.8600282e-06 4.2923728e-07 7.1539546e-07 8.5847455e-07 9.061676e-07 3.338512e-07 3.338512e-07 1.9077213e-07 1.0015536e-06 6.200094e-07 7.1539546e-07 6.677024e-07 0.0008006706 0.0004010507 1.0492466e-06 1.1446327e-06 3.100047e-06 1.4784839e-06 3.8154425e-07 6.677024e-07 0.0002436637 3.8154425e-07 3.8154425e-07 4.626224e-06 3.8154425e-07 5.246233e-07 6.200094e-07 5.0077683e-06 4.8837665e-05 0.0 4.769303e-08 4.769303e-08 4.769303e-08 0.0 0.0 0.0 2.9378907e-05 1.9315677e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.00040763232 6.7247174e-06 7.153955e-06 8.870904e-06 3.605593e-05 1.4450989e-05 6.677024e-07 1.6692561e-06 3.8917515e-05 3.14774e-06 8.5847455e-07 2.6851176e-05 1.2400188e-06 9.061676e-07 2.3369585e-06 2.8568125e-05 0.00025091303 1.8457204e-05 1.0874011e-05 4.9123823e-06 1.3640207e-05 4.340066e-06 4.344835e-05 2.2224953e-05 3.052354e-06 1.0969397e-06 2.3846515e-06 1.7169491e-06 2.9092748e-06 2.8615818e-06 1.3354048e-06 6.5339455e-06 0.00022081874 6.200094e-06 8.918597e-06 3.7200564e-06 2.8520433e-05 2.0794161e-05 0.00010072768 4.826535e-05 6.438559e-06 2.5611158e-05 1.0015536e-06 4.1016006e-06 1.7169491e-06 1.3830979e-06 1.4784839e-06 8.680132e-06 0.00024485603 5.1985403e-06 4.2208332e-05 1.526177e-05 1.2257109e-05 2.1509557e-05 6.285941e-05 3.6628247e-05 1.6740254e-05 6.057015e-06 1.0969397e-06 2.1461865e-06 5.4846987e-06 2.1461865e-06 4.530838e-06 9.395527e-06 0.00046357626 3.510207e-05 1.5452542e-05 3.257434e-05 7.711963e-05 2.1128013e-05 8.785056e-05 4.626224e-05 1.51186905e-05 1.669256e-05 1.1827871e-05 1.4450989e-05 2.3703436e-05 1.3020197e-05 5.537161e-05 4.7502257e-05 0.00016735484 2.0984933e-06 4.816996e-06 2.2177259e-05 2.2654189e-05 4.0062146e-06 1.9601835e-05 1.5834086e-05 1.635871e-05 1.6740254e-05 7.297034e-06 6.057015e-06 2.2224953e-05 4.292373e-06 1.5786392e-05 4.3400658e-05 4.6500703e-05 3.4338982e-06 1.8218738e-05 1.1637099e-05 9.013983e-06 6.438559e-06 3.119124e-05 1.8457204e-05 9.967844e-06 3.195433e-06 2.2892655e-06 4.530838e-06 4.9600753e-06 2.3369585e-06 7.0585684e-06 1.6120244e-05 0.00074510823 7.2922645e-05 5.899628e-05 0.00010106153 0.000263504 0.00019205983 0.00012695885 0.00015648083 0.0003470622 3.2383567e-05 4.1349856e-05 6.5721e-05 0.00015910395 8.3510495e-05 0.00018905518 0.00039265672 0.00087082706 0.0001389775 0.00012371573 0.00016869025 0.00033552048 0.0003387159 0.00019835531 0.0002367005 0.0006165755 6.543484e-05 7.7548866e-05 0.00011608484 0.00029636448 0.00016859487 0.00031730175 0.00061900786 0.06189077 0.0612234 0.061334286 0.06161339 0.061452087 0.061690316 0.06180659 0.061819468 0.061226357 0.061589967 0.06168011 0.062127423 0.061462868 0.06217683 0.061757755 0.061766863 49015.0 5.704764 279619.0 0.01201635 0.00997071 0.010428476 0.010353373 0.010428476 0.009820506 0.010142372 0.010210322 0.009434266 0.010521459 0.010052965 0.010432052 0.009899184 0.010496425 0.010120914 0.010460663 0.01058941 0.010346221 0.0104249 0.010711003 0.010128067 0.010972072 0.010335492 0.010671664 0.010103033 0.010077999 0.01016383 0.010192441 0.0100851515 0.01006727 0.010031507 0.010013626 0.009888455 0.010006473 0.010246085 0.010714579 0.009956405 0.010517883 0.010299729 0.010024355 0.0102782715 0.010539341 0.0104713915 0.010299729 0.010306882 0.010725308 0.010521459 0.010170982 0.010117338 0.010153101 0.01048212 0.010614444 0.010156677 0.010117338 0.010557222 0.010553646 0.009813353 0.010474968 0.01023178 0.010775376 0.009992168 0.01039629 0.010378407 0.010006473 0.0098526925 0.011097243 0.0104249 0.010585832 0.010768224 0.012284573 0.010689545 0.010571527 0.0104713915 0.011165192 0.010635901 0.010256814 0.011240295 0.010628749 0.011261753 0.011440568 0.010464239 0.010181712 0.011880452 0.010861208 0.0117374 0.010761071 0.010306882 0.01045351 0.010160253 0.010474968 0.010360526 0.009820506 0.010063694 0.009770438 0.010221051 0.009616657 6.5834575 2.0 1.0 0.0 174.0 10485319.0 184320.0 0.0 0.0 135.0 0.0 1.0 0.0 1.0 0.0 1300357400.0 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 5.0 0.0 5.0 0.0 86016.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82944.0 -4096.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 -6.036669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7351375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.482909 -5.042266 4.161592 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22288.0 0.0 0.0 -3484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82928.0 -3998.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 2.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3998.0 122880.0 45568.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 131072.0 0.0 0.0 0.0 0.0 588.0 123728.0 0.0 0.0 0.0 0.0