Input: 0.09497102 0.011014153 0.0060155927 0.004462169 0.0144122 0.002028111 0.0034651633 0.002248946 0.017598072 0.0021152543 0.0020411012 0.00123462 0.009756259 0.0032031923 0.0026370315 0.008570353 0.007704332 0.0022521936 0.0006717069 0.0008005274 0.008928127 0.010530805 0.0009867217 0.001739618 0.008784692 0.0010343528 0.01656859 0.0023728954 0.0050234585 0.0013125618 0.0009970057 0.00079619733 0.0055717574 0.0010787364 0.00051041064 0.00037888382 0.051627792 0.0032762627 0.00032746387 0.00032638136 0.003196697 0.0005450515 0.0005039155 0.0011940253 0.002613216 0.0006316535 0.00039945182 0.00030202453 0.0026456916 0.0005039155 0.0006700831 0.004841053 0.0022305432 0.0005504641 0.00037292994 0.0003198862 0.0023101089 0.00085465366 0.00071771425 0.002967743 0.0020860261 0.0007225856 0.0005001267 0.0003415367 0.0033152336 0.001788873 0.0017482783 0.0008784692 0.019275444 0.0020562566 0.0029666603 0.0010695349 0.0049709557 0.00093746686 0.0012849574 0.00054829905 0.012729414 0.004161227 0.0038202314 0.0010451782 0.01373941 0.007900269 0.004642951 0.0028107767 0.0073833633 0.002283587 0.005859709 0.0038451296 0.0019301425 0.0028015752 0.00033558282 0.0022787156 0.0038445883 0.0018992905 0.0047414606 0.0032589422 0.0020849437 0.0016811617 0.00039349793 0.0008838819 0.0065113893 0.0026781673 0.032505527 0.00055695925 0.006277564 0.0014457124 0.005638874 0.00024952207 0.0029136166 0.00061270926 0.0014825183 0.0012562706 0.0023106502 0.00050716306 0.0016795379 0.0009742727 0.011432008 0.0073238243 0.00089416583 0.0005212359 0.0015404334 0.00069877005 0.0004546606 0.00059430633 0.0029580002 0.00069010985 0.0024914318 0.0006029665 0.0029953474 0.0011691273 0.0005731971 0.019364212 0.0067219404 0.0051739295 0.0016833268 0.0012124282 0.0038510836 0.015127207 0.0030164565 0.061390005 0.002534733 0.020506276 0.0012140521 0.0004909252 0.0021358223 0.0003723887 0.00028632794 0.000375095 0.0016817029 0.00039187414 0.0009163576 0.00057373836 0.0019155284 0.00028308036 0.00033558282 0.0013813021 0.002044349 0.0004200198 0.00046007324 0.0002257065 0.0019366377 0.0040573045 0.00032313378 0.0019030793 0.0012194647 0.00024302691 0.00029552937 0.0001910657 0.0012178409 0.00020459727 0.00017753414 0.00019810212 0.00087089156 0.0002013497 0.00026034733 0.00025114586 0.0010998456 0.00025655847 0.0003794251 0.00040486443 0.0009060736 0.00020189096 0.00041352463 0.00051907083 0.0025385218 0.0011025519 0.00070688897 0.00032313378 0.0011009282 0.00026142984 0.00078537205 0.00039782803 0.005876488 0.0062791877 0.0039176587 0.0038965496 0.010713211 0.0005196121 0.0069752512 0.0068231565 0.0042900476 0.0023626112 0.001211887 0.00076534535 0.04178764 0.00080972887 0.0036302484 0.0017526083 0.0014224382 0.0007783356 0.0016400258 0.0009905106 0.0007123016 0.0010440956 0.00093854935 0.0014348872 0.0017017296 0.0013239284 0.0005174471 0.0012145933 0.001372642 0.0036464862 0.00039133287 0.00067982584 0.0018132298 0.0005201534 0.00039349793 0.00027550268 0.0010381417 0.0006170394 0.00024573322 0.0002533109 0.013351325 0.0041125133 0.00044221155 0.0026321602 0.0030045488 0.0005001267 0.0007945735 0.0009731902 0.006790681 0.0016697951 0.0005174471 0.0005618306 0.0012589769 0.00039403918 0.0024811479 0.0008238017 0.0038505422 0.001061416 0.0008113527 0.00084924104 0.0017158025 0.0010213626 0.0024887256 0.049150433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00046309535 8.936928e-06 4.414301e-05 2.4644256e-05 0.0 0.0 0.0 0.0 2.70816e-07 3.520608e-06 1.624896e-06 0.0 0.0 1.624896e-06 1.35408e-06 5.41632e-06 0.00046580352 7.312032e-06 3.980995e-05 2.1936095e-05 5.41632e-07 0.0 1.624896e-06 7.041216e-06 3.791424e-06 0.0 0.0 0.0 0.0 2.166528e-06 1.895712e-06 2.70816e-06 0.0005435277 1.3811616e-05 5.145504e-05 2.1123647e-05 2.437344e-05 2.0040385e-05 6.499584e-06 1.7332224e-05 1.2999168e-05 0.0 0.0 0.0 0.0 1.0020192e-05 3.520608e-06 0.00038455872 0.0010667442 4.3059743e-05 8.936928e-05 6.364176e-05 7.934909e-05 5.4704833e-05 8.395296e-06 1.1103456e-05 1.2457536e-05 1.1915904e-05 1.5436512e-05 9.47856e-06 1.083264e-05 6.499584e-06 6.499584e-06 0.0007290367 0.00049532246 6.228768e-06 0.00015030288 3.6289344e-05 3.926832e-05 2.2206912e-05 0.00054650666 0.00031360492 1.2728352e-05 4.333056e-06 2.437344e-06 5.957952e-06 3.791424e-06 1.0291008e-05 6.7704e-06 7.853664e-06 0.0014136595 0.00010859722 0.000113471906 0.00014028269 0.00022640218 0.00019255017 0.0010586197 0.00058875396 3.3310367e-05 2.6269152e-05 2.1936095e-05 1.6519776e-05 3.574771e-05 5.41632e-06 3.791424e-06 0.00045172108 0.002447906 0.00021286137 0.0005367573 0.00020961158 0.0005979617 0.00037589262 0.003135237 0.0015282147 3.3039552e-05 8.016154e-05 3.4122815e-05 2.7623231e-05 3.8185055e-05 2.572752e-05 2.5185887e-05 0.0001202423 0.0012676897 0.00021204892 0.00026485804 9.911865e-05 0.0003236251 0.00025673356 0.0014244922 0.00062775146 5.280912e-05 0.00041380685 5.5246463e-05 2.6810783e-05 5.0371775e-05 2.5456704e-05 2.437344e-05 0.0004211189 0.0030989475 0.00088610995 0.0010060815 0.0002778572 0.0008882765 0.0013446014 0.0036208099 0.0016045849 0.0011563844 0.00024915073 0.00015869818 8.5577856e-05 0.0008091982 0.00037616343 0.00013107495 0.0003907875 0.007142772 0.0031739636 0.0021435088 0.0006702696 0.0027138472 0.0025280674 0.0060586957 0.0017846775 0.0033310368 0.000687331 0.00065456226 0.0005679012 0.002477154 0.00053621567 0.0008953177 0.0012403373 0.08241716 0.030132614 0.02784178 0.008833747 0.024892053 0.029260315 0.022704942 0.013177906 0.066649444 0.00479561 0.0054864613 0.0045686658 0.047916017 0.006945618 0.012850219 0.031383242 0.0846866 0.035724424 0.040225655 0.012244945 0.032832377 0.035525642 0.028545089 0.015983019 0.07582415 0.007534101 0.0071286894 0.0060849646 0.05033603 0.011876094 0.017034868 0.040354565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5314.0 10.858864 57704.0 0.036600582 0.0003292666 0.0018023014 0.00027727714 0.0370165 0.0016116734 0.00010397893 0.00045057535 0.009011507 0.0059441286 0.004367115 0.00051989465 0.0043844446 0.002322196 0.002599473 0.00062387355 0.0027554415 0.002599473 0.0018542908 0.0011264384 0.0038472202 0.00027727714 0.00045057535 0.00013863857 0.0027554415 0.0030847082 0.0038472202 0.004037848 0.0042804657 0.0017849716 0.0028247607 0.00019062804 0.002426175 0.004956329 0.0014037155 0.007867739 0.022996673 0.0062733954 0.002426175 0.0018542908 0.0031366977 0.0056495215 0.00060654373 0.0004159157 0.013222653 0.0026687924 0.0029287399 0.0038298904 0.026739914 0.023793845 0.012494801 0.020587828 0.013153334 0.0116976295 0.016792597 0.016394012 0.0016983225 0.017901706 0.00019062804 0.018126993 0.0019582699 0.018023014 0.018265631 0.022355469 0.0014903647 0.046686538 0.005614862 0.022476777 0.018092332 0.06860876 0.012858727 0.0109351175 0.013534591 0.03786566 0.0038472202 0.0018023014 0.025769444 0.011680299 0.036600582 0.031211007 0.015735477 0.002426175 0.0389921 0.021904893 0.059787884 0.012425481 0.012321503 0.0024088451 0.0037605711 0.0073998338 0.0010744489 0.00060654373 0.0032406766 0.00046790516 0.00077984197 0.0009358103 5.6441636 0.0 2.0 0.0 2.0 1847532.0 2592768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1347414800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4.0 83.0 10.0 0.0 5.0 1.0 5.0 1.0 1731072.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -190464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1731072.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.920251 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4215384 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -190090.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 621717.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1730849.0 0.0 1376.0 0.0 0.0 0.0 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 144965.0 2213456.0 180.0 2118820.0 1376.0 2396160.0 0.0 0.0 7616.0 2578944.0 153340.0 2400256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1914288.0 0.0 0.0 7800.0 1736704.0 0.0 0.0 0.0 0.0


Input: 0.18323568 0.0043863934 0.0033447265 0.003133138 0.0034261069 0.0041503906 0.0049886066 0.0034830729 0.0030843099 0.003108724 0.0043945312 0.0028076172 0.0031819663 0.0031982423 0.002726237 0.003914388 0.003116862 0.0028564453 0.0032877603 0.0030192058 0.0028727213 0.002750651 0.0030029297 0.0028076172 0.002750651 0.0024658204 0.0028401692 0.0023600261 0.002758789 0.0024902343 0.0028320313 0.002766927 0.002726237 0.0024739583 0.0029296875 0.0022379558 0.004003906 0.0026448567 0.0026611327 0.00238444 0.0036621094 0.0025878907 0.0029785156 0.0024576823 0.0028320313 0.0030517578 0.0041097007 0.0047851563 0.0040201824 0.004239909 0.0030680338 0.0027750651 0.004337565 0.0037027996 0.0034993489 0.003531901 0.0030354818 0.0032389322 0.0028645834 0.0024495444 0.0033772786 0.0031901042 0.0032470704 0.0030192058 0.0040283203 0.003149414 0.0036376952 0.0029134115 0.0037841797 0.005232747 0.0030517578 0.0028889973 0.0029134115 0.0032389322 0.0032877603 0.0028157553 0.0026041667 0.004345703 0.0034179688 0.0028483074 0.0031901042 0.002709961 0.0034342448 0.0030110676 0.0029622396 0.0038167317 0.002799479 0.0029541017 0.0025390624 0.0030273437 0.002718099 0.0021158855 0.0025390624 0.0027750651 0.0021972656 0.0026774087 0.0026774087 0.0029703777 0.0040852865 0.0026855469 0.003092448 0.004736328 0.0030436197 0.0025878907 0.0030192058 0.0033284505 0.0028076172 0.002709961 0.0033203126 0.0037760416 0.003540039 0.0037027996 0.0030436197 0.0029866537 0.0034830729 0.0030680338 0.004597982 0.0041015623 0.0037923178 0.003092448 0.0028320313 0.0048909504 0.0030436197 0.0026285807 0.0029541017 0.003116862 0.0028157553 0.0025716147 0.0028645834 0.0030029297 0.002799479 0.004378255 0.0034261069 0.0032389322 0.002726237 0.0033040366 0.0041910806 0.0064941407 0.0040771486 0.005859375 0.0028483074 0.004329427 0.0026204428 0.0032389322 0.0030110676 0.0029541017 0.003523763 0.0030680338 0.0028808594 0.0026855469 0.0022623697 0.0029703777 0.0028157553 0.0025878907 0.0025553384 0.003133138 0.0030680338 0.0029134115 0.0026855469 0.0048909504 0.0025797526 0.0026204428 0.0023925782 0.002766927 0.0026692708 0.002742513 0.0038004557 0.0037679037 0.0028076172 0.0028401692 0.0032063802 0.0038981119 0.0047200522 0.0028483074 0.0045003253 0.0034667968 0.0030029297 0.0029134115 0.0028401692 0.002693685 0.004166667 0.0026611327 0.002742513 0.0030110676 0.0030436197 0.002766927 0.0029622396 0.002734375 0.002718099 0.0040445966 0.0036376952 0.002693685 0.0040934244 0.002693685 0.0029052733 0.0032877603 0.0033447265 0.004345703 0.003141276 0.0033610025 0.0032389322 0.0041829427 0.0026041667 0.0025146485 0.0026774087 0.0029703777 0.002726237 0.002335612 0.0028645834 0.0029947916 0.002709961 0.0026285807 0.003442383 0.0028076172 0.0026692708 0.0029215494 0.0032226562 0.0036132813 0.0026692708 0.002726237 0.002758789 0.0040934244 0.0029215494 0.002351888 0.0026204428 0.0026774087 0.0023763021 0.0025227864 0.0029785156 0.0029947916 0.0025309245 0.0021972656 0.0032307943 0.0051513673 0.002766927 0.0037760416 0.004736328 0.0027750651 0.0040608724 0.0040934244 0.0032958984 0.0040445966 0.003914388 0.0028727213 0.004231771 0.0024902343 0.002758789 0.0029947916 0.0037109375 0.0026855469 0.0028889973 0.0030354818 0.003076172 0.0035888671 0.0026367188 0.0064046225 0.10084034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074760374 6.975447e-05 9.0270485e-05 6.975447e-05 9.847689e-05 0.00011899291 0.00014361214 0.000102580096 4.103204e-06 1.23096115e-05 2.051602e-05 5.334165e-05 4.5135243e-05 5.334165e-05 2.051602e-05 2.4619223e-05 0.02109457 0.00013540573 0.00013950893 0.0016002494 0.00023798582 0.00015181855 0.000644203 0.00040621718 0.00013950893 6.154806e-05 7.385767e-05 5.334165e-05 6.975447e-05 0.00011899291 0.00013950893 0.00014361214 0.0060276063 4.103204e-06 0.0002995339 0.0002995339 8.616728e-05 4.9238446e-05 0.001128381 0.00050469406 0.0 0.0 0.0 4.103204e-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 0.005436745 2.051602e-05 4.9238446e-05 0.000221573 0.00047186844 0.00024619224 0.0011899291 0.00062779017 2.4619223e-05 2.051602e-05 1.6412816e-05 1.23096115e-05 3.2825632e-05 1.23096115e-05 8.206408e-06 1.23096115e-05 0.0047597163 5.7444853e-05 0.00039801077 0.00037339155 0.00025029544 0.0001107865 0.0016166623 0.0007385767 3.2825632e-05 4.103204e-06 8.206408e-06 8.206408e-06 4.103204e-06 2.051602e-05 8.206408e-06 1.23096115e-05 0.015218783 0.00048828125 0.00079602154 0.0010832459 0.0012966124 0.0006688222 0.00092732406 0.00077960873 0.0011530003 0.00027901787 0.0003077403 0.00026260506 0.00056624215 0.00034877233 0.0005334165 0.0005005909 0.0046817553 5.334165e-05 0.00036108194 0.00028312107 0.0001066833 4.9238446e-05 0.00022977941 0.00017233456 0.00028722428 0.00023798582 0.0005129005 0.00023388262 0.00033235952 0.00017643777 0.00037749475 0.0003077403 0.006889279 0.00026670826 0.00047186844 0.0008616728 0.0012596835 0.0006318934 0.0019202994 0.0012432707 0.0011571035 0.00016412816 0.00016823136 0.00014771534 0.00041032038 0.00016002495 0.0004185268 0.0006359966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012391675 0.00016412816 0.00017643777 0.0002995339 0.00066471903 0.00059496454 0.00012719932 0.00036518514 0.001772584 0.00014771534 6.5651264e-05 0.00017643777 0.0005539325 0.00023388262 0.0005087973 0.0013130252 0.0047474066 0.00091091124 0.0010627297 0.0011201747 0.0032538406 0.0019613313 0.0009888721 0.0013622637 0.0065405066 0.00055803574 0.0007221639 0.00078781514 0.0024085806 0.0011612066 0.0022280395 0.0037995668 0.05266462 0.043116465 0.044999834 0.047765397 0.046788834 0.041146927 0.043461133 0.047059644 0.04878299 0.04691193 0.050145254 0.047248393 0.046378512 0.045455292 0.04765871 0.048315223 503.0 7.7276344 3887.0 0.011577052 0.0056598918 0.012863391 0.0061744275 0.006688963 0.0038590173 0.0061744275 0.0048880884 0.009776177 0.006688963 0.0077180346 0.00591716 0.00591716 0.00823257 0.013635194 0.0100334445 0.010547981 0.0113197835 0.013120659 0.0100334445 0.013635194 0.008489838 0.010547981 0.009004373 0.004630821 0.01183432 0.0064316955 0.004630821 0.010805248 0.0126061225 0.009261642 0.0056598918 0.0061744275 0.00823257 0.0077180346 0.013120659 0.006688963 0.009004373 0.0087471055 0.011062516 0.009004373 0.012348855 0.0056598918 0.0051453565 0.006688963 0.0100334445 0.00823257 0.005402624 0.010290713 0.0074607665 0.00823257 0.009776177 0.0087471055 0.0064316955 0.006688963 0.013120659 0.009261642 0.0056598918 0.0056598918 0.00591716 0.0077180346 0.006688963 0.0061744275 0.009518909 0.006688963 0.022896836 0.011577052 0.01414973 0.019552354 0.04502187 0.011577052 0.007975303 0.0126061225 0.019809622 0.0043735527 0.0069462312 0.022896836 0.013635194 0.025984049 0.023925906 0.019295087 0.0056598918 0.023154104 0.02469771 0.02829946 0.013635194 0.0051453565 0.009776177 0.006688963 0.019037819 0.0077180346 0.0033444816 0.0061744275 0.0064316955 0.006688963 0.0056598918 6.3711157 0.0 0.0 0.0 4.0 122880.0 126976.0 1.0 0.0 34.0 1.0 1.0 0.0 0.0 0.0 1187665200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 1.0 6.0 0.0 6.0 0.0 8192.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -94208.0 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 4096.0 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 0.0 0.0 -5.949029 0.0 0.0 -7.895278 0.0 0.0 0.0 0.0 0.0 5.379723 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5685434 0.0 4.152409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -380.0 0.0 0.0 -96176.0 0.0 0.0 0.0 0.0 0.0 2000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 0.0 0.0 0.0 0.0 0.0 0.0 -7430.0 0.0 1824.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 28800.0 200.0 13168.0 1824.0 118784.0 0.0 0.0 0.0 0.0 380.0 122880.0 56.0 12464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.15890434 0.0048534423 0.004653357 0.005211393 0.005092076 0.003757563 0.0035519707 0.002885632 0.004802044 0.0027553013 0.0031866776 0.0032050342 0.0033904342 0.0037593986 0.002988428 0.0037520558 0.0066046463 0.004952567 0.0027644795 0.0025001469 0.0027553013 0.007421508 0.0029700717 0.002412036 0.0034399964 0.0024707764 0.002474448 0.0022817052 0.0033775845 0.0024414062 0.002463434 0.002355131 0.0046753846 0.00327846 0.0027901786 0.0023679805 0.0033316936 0.0025478736 0.0022853764 0.0023220894 0.0036988223 0.0022743626 0.0022963905 0.0023624736 0.0026910538 0.0022688557 0.002529517 0.0021623883 0.0033941055 0.002443242 0.002628642 0.007395809 0.0031132519 0.0020999764 0.0022486637 0.0025056538 0.0041467194 0.0023331032 0.0022615131 0.0024560913 0.0027277668 0.0021734023 0.0025827507 0.0023734875 0.013526859 0.0029443726 0.0028727825 0.0029094955 0.004209131 0.008888187 0.0025570518 0.002716753 0.003555642 0.0027442875 0.0025497093 0.0022266358 0.002700232 0.0057125236 0.0025956004 0.0023110756 0.011168057 0.0046001235 0.0044128876 0.0036823014 0.0028305626 0.00439086 0.0035409569 0.0024652695 0.0034051193 0.0026671905 0.00226702 0.0022560062 0.0033665707 0.0028323983 0.0023147468 0.002850755 0.0048516067 0.0031664856 0.002870947 0.0025185032 0.003256432 0.0030930599 0.0074233436 0.0025754082 0.005488575 0.002859933 0.003974169 0.0022761982 0.0033537212 0.0026983963 0.0023991864 0.0026414914 0.0036914796 0.0021844162 0.0034656955 0.002457927 0.003979676 0.0026249706 0.002443242 0.0025643944 0.0051544877 0.0023018974 0.0025166676 0.0021991013 0.0032087055 0.0033316936 0.0021715667 0.002386337 0.004308256 0.00238083 0.0024083646 0.0037887688 0.0034234757 0.005785949 0.0022578419 0.0023074043 0.003843838 0.0052701333 0.0023936795 0.008185136 0.0030545113 0.009804173 0.002457927 0.002406529 0.005962171 0.0028966458 0.0032894737 0.0022578419 0.0034822163 0.0028323983 0.002375323 0.0022908836 0.0029443726 0.0071241334 0.002395515 0.0023331032 0.0028323983 0.0030581825 0.0024028576 0.002437735 0.0031940201 0.00238083 0.002355131 0.0022376499 0.0033665707 0.0022119507 0.0022853764 0.0025019825 0.004570753 0.0023018974 0.0025386955 0.002355131 0.0033243508 0.0022064438 0.0023532955 0.0022174576 0.003313337 0.0022284717 0.002375323 0.002215622 0.0031205944 0.0022578419 0.0022504993 0.0021054833 0.0034693668 0.0023275963 0.002323925 0.0026561767 0.002289048 0.002303733 0.0021734023 0.0020137012 0.004332119 0.0023532955 0.0026635192 0.002386337 0.0033996124 0.0021991013 0.0024781192 0.005591371 0.004025567 0.0020852913 0.0022615131 0.002323925 0.007173696 0.002289048 0.0022578419 0.0021880874 0.003384927 0.0023331032 0.00226702 0.0031976914 0.0030233054 0.0022119507 0.0026341488 0.0035079152 0.0032380756 0.0023275963 0.0024028576 0.003230733 0.0035464638 0.0038897293 0.002169731 0.0026965607 0.0042550224 0.0023422814 0.0031536361 0.0021605527 0.003076539 0.0022504993 0.0022027725 0.0022082794 0.0035005726 0.0023184181 0.0022853764 0.0026580123 0.0035281074 0.0020394002 0.002344117 0.0020650993 0.0027185886 0.0024193786 0.002175238 0.0021513745 0.0022229645 0.0021513745 0.0022743626 0.0022596775 0.0041650757 0.0022688557 0.00226702 0.0021091548 0.0030490044 0.0020981408 0.004025567 0.03896521 0.01691513 9.1955036e-07 0.0 5.5173023e-06 0.0 0.0 0.0 7.356403e-06 1.8391007e-06 0.0 0.0 0.0 3.6782014e-06 0.0 1.8391007e-06 1.2873706e-05 0.0018004796 0.0 0.0 1.10346045e-05 1.2873706e-05 2.2069209e-05 2.9425612e-05 7.356403e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003431762 5.5173023e-06 3.6782014e-06 8.275953e-06 2.7586511e-05 4.505797e-05 7.8161785e-05 4.3218868e-05 1.8391007e-06 0.0 1.8391007e-06 9.1955036e-07 9.1955036e-07 1.8391007e-06 2.7586511e-06 0.000113104696 0.0050299405 3.5862464e-05 3.8621114e-05 3.9540668e-05 7.264448e-05 7.724223e-05 8.1839986e-05 8.0000886e-05 4.2299318e-05 1.4712806e-05 2.6666961e-05 1.8391007e-05 2.1149659e-05 1.4712806e-05 3.9540668e-05 1.6551907e-05 0.004706259 1.4712806e-05 3.0345162e-05 0.000104828745 9.563324e-05 2.8506061e-05 0.000102070095 7.632268e-05 5.4253473e-05 2.482786e-05 9.1955035e-06 1.10346045e-05 2.9425612e-05 2.9425612e-05 9.1955035e-06 0.00032368174 0.015035568 9.287459e-05 0.00041839542 0.0001535649 0.00069609965 0.00020689884 0.00031540578 0.00043862552 0.00018850782 0.00018391007 0.00017287547 0.000116782896 9.287459e-05 6.712718e-05 0.00013057615 0.0024055438 0.008236413 4.2299318e-05 0.00014712806 8.0000886e-05 0.0005167873 0.00015632357 0.00018115142 0.00030069298 0.00022896804 0.0001241393 8.0920436e-05 3.9540668e-05 6.436853e-05 0.000103909195 0.00018023187 0.00081656076 0.009533898 0.00018666872 0.00033655544 0.00042483228 0.00044414285 0.00035310735 0.0007595486 0.0005131091 0.00017103637 0.00024184174 9.839189e-05 3.6782014e-05 0.00015908222 0.00016919727 8.5518186e-05 0.001552201 0.013789577 0.0005489716 0.000903918 0.0005315001 0.0008082848 0.00044874058 0.00086989463 0.00070437556 0.0002795433 0.0003944871 0.00041379768 0.00023816354 0.00031540578 0.00019218602 0.00019586422 0.0019641595 0.012849797 0.00047540755 0.0006731109 0.0005149482 0.00096093013 0.00059402955 0.0012009328 0.0010418505 0.0006179378 0.00057287986 0.0006951801 0.00026023274 0.00041747588 0.000255635 0.00033839454 0.0011301275 0.005593625 0.00020046199 0.00028414108 0.00034391184 0.00046345338 0.00032644038 0.0013167962 0.0006069032 0.00020781839 0.00033011858 0.00024184174 0.0001296566 0.00031540578 6.712718e-05 8.7357286e-05 0.00078437646 0.015197409 0.0010556438 0.0015659943 0.0019218603 0.0014344986 0.0016285237 0.0028800317 0.0019393318 0.0010234596 0.0014179467 0.00094253913 0.000519546 0.0011227711 0.00041011948 0.00048644215 0.004118666 0.011436448 0.0011770244 0.0010032294 0.0023448535 0.0018372616 0.0012340366 0.002464395 0.0009259872 0.0012423126 0.0022547375 0.0008993203 0.00062345515 0.0021030118 0.000584834 0.000584834 0.003182564 0.028066516 0.0064874277 0.0030722178 0.0039742966 0.008370667 0.0076230727 0.005956847 0.0032598062 0.0111955255 0.0056340853 0.0023650837 0.002016574 0.005738914 0.0031053217 0.0032598062 0.014751427 0.026354313 0.010732992 0.002693363 0.003986251 0.015673736 0.014012109 0.0057784547 0.0046556834 0.016408456 0.0070299627 0.004021194 0.00366073 0.0073968633 0.0088856155 0.005063964 0.014305445 0.03835077 0.032711167 0.03276726 0.03249599 0.033117607 0.032197136 0.0334606 0.032137368 0.03252174 0.03278657 0.032503348 0.031819202 0.032315757 0.03225783 0.031997595 0.0319838 2927.0 7.621797 22309.0 0.0129992375 0.0049307453 0.0060961945 0.0056479448 0.0059168944 0.0049307453 0.0051100454 0.0051100454 0.0070823436 0.0049755704 0.00542382 0.005468645 0.0051100454 0.0049755704 0.009233941 0.0048410953 0.011878614 0.008113317 0.010220091 0.024877852 0.005827245 0.0055582947 0.0049755704 0.005378995 0.026805324 0.008696042 0.00524452 0.0058720694 0.0045721456 0.00524452 0.0064996188 0.0050652204 0.009637366 0.013357838 0.0064996188 0.009771841 0.018288583 0.010533866 0.010309741 0.014343986 0.019498857 0.015957685 0.0069478685 0.00524452 0.009995966 0.007171993 0.013492312 0.0069478685 0.04554216 0.00542382 0.006409969 0.012730288 0.008920167 0.007351293 0.008516742 0.00533417 0.013985387 0.005827245 0.0056031197 0.005737595 0.0060961945 0.0047514457 0.0055134697 0.018467883 0.039804563 0.02595365 0.01689901 0.009771841 0.010892465 0.020260882 0.02613295 0.011071765 0.01093729 0.01734726 0.0073961182 0.006320319 0.016047334 0.016316285 0.010802815 0.014657762 0.011116589 0.0048859203 0.018557534 0.01039939 0.014702586 0.007844368 0.012282039 0.008785692 0.0272984 0.0074857683 0.005289345 0.0045721456 0.0047962707 0.0047066207 0.005468645 0.004303196 6.3060646 1.0 0.0 0.0 2.0 544768.0 548864.0 0.0 0.0 98.0 0.0 1.0 0.0 0.0 0.0 1544520300.0 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 3.0 5.0 6.0 0.0 4.0 0.0 4.0 0.0 274432.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 0.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0803814 0.0 7.98346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -270576.0 0.0 261340.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 2.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 272468.0 261340.0 286720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 568.0 440.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.20256323 0.018039247 0.01529758 0.008249314 0.012706328 0.0073160524 0.0077410904 0.004154664 0.010496053 0.0038823201 0.009082677 0.002601128 0.0047099865 0.00446803 0.0025232614 0.00346184 0.007131831 0.0041273157 0.003398407 0.0032179842 0.0025885934 0.0023519546 0.0024317205 0.0014365459 0.0029513382 0.0029395632 0.002074673 0.0028472627 0.003200132 0.002006682 0.0019865506 0.001939071 0.006669569 0.0032825565 0.0022957386 0.0019326138 0.0039423346 0.0019884498 0.0019060251 0.0010962114 0.005000562 0.0039503113 0.007234387 0.0029171528 0.0037527955 0.0027033042 0.006469774 0.0016135501 0.005630333 0.003407903 0.0046985913 0.0051920004 0.0032620453 0.0026402513 0.0027276138 0.002870053 0.0038644678 0.003335734 0.0020731536 0.0029999574 0.0026273367 0.002009341 0.001974396 0.0021525398 0.004455495 0.00334485 0.0043772487 0.0040217205 0.0045458963 0.007842127 0.00231549 0.001967179 0.0025973297 0.004338505 0.0017130676 0.0020598595 0.002544912 0.0036008605 0.0018999478 0.0023720858 0.0054715606 0.0012242167 0.0025855547 0.0045979344 0.0036878434 0.0039047305 0.0050909636 0.0025042694 0.001812585 0.0014395845 0.000933261 0.0015527762 0.0013377881 0.002318149 0.0037653302 0.0036734096 0.002367148 0.007727416 0.0024814792 0.004006907 0.005595768 0.0134998085 0.0016446968 0.003452344 0.0031465748 0.0065404237 0.0016952152 0.0018213213 0.0053891363 0.0027188775 0.023284046 0.009507716 0.005622356 0.0009378191 0.009264239 0.0062608635 0.009970738 0.0052744253 0.0018775373 0.0015436601 0.0024484333 0.0024427357 0.0012078836 0.0023120716 0.0017407958 0.0024894557 0.0015125134 0.0009078119 0.0073601133 0.0021419043 0.0013609582 0.003546164 0.0019968064 0.003363842 0.0016074728 0.0009514932 0.0017719425 0.0048805336 0.00096098916 0.021858895 0.0016097518 0.0045147496 0.0008838821 0.000977702 0.009434027 0.0024427357 0.0024123488 0.0015603729 0.0021453227 0.0021954614 0.001913242 0.0009822601 0.001382229 0.0013187962 0.00075511716 0.00097580283 0.0016974943 0.0007422027 0.0010316389 0.0005826709 0.0021772292 0.0011596442 0.0018346157 0.001096971 0.001836135 0.0027853493 0.0012849907 0.00086906843 0.0014673127 0.0011003895 0.00074714056 0.0015789849 0.001559993 0.00093857874 0.00074258255 0.00080829446 0.0022634524 0.0010039108 0.0012291545 0.0009503537 0.0016971144 0.0010965912 0.0011524273 0.0007099165 0.0021836865 0.0026022675 0.0018984284 0.00083184434 0.0014369257 0.0008705878 0.0007543575 0.0008572935 0.004869898 0.0010308793 0.0017935932 0.002652406 0.0016352009 0.0007030794 0.0013727332 0.0019937677 0.0025422531 0.0010669639 0.000652561 0.0009811205 0.009442383 0.0006366078 0.0019884498 0.0013328502 0.0031025137 0.00076195423 0.0016443171 0.00094883435 0.0016845798 0.00069130445 0.001022143 0.0010441736 0.0020271933 0.0011311565 0.00083146454 0.00087438617 0.0019178 0.0015326447 0.0006673747 0.00063129014 0.0021878646 0.00083564274 0.0018270189 0.0011227999 0.0017525707 0.0009868181 0.0012447279 0.0014726304 0.013748602 0.0019402105 0.0012671383 0.0023758842 0.0039939927 0.00080221705 0.0005082227 0.00066661503 0.0032267205 0.0013423461 0.0009792213 0.0010141664 0.0019918685 0.0006157168 0.0007479003 0.0006696537 0.0019124824 0.0018562664 0.00070953666 0.0010240423 0.0017700433 0.0014418636 0.0022547161 0.02888589 0.004637912 1.5199416e-06 2.0899197e-06 1.899927e-07 0.0 1.899927e-07 3.799854e-07 7.599708e-07 9.11965e-06 5.699781e-07 3.799854e-07 3.799854e-07 3.4198688e-06 4.559825e-06 4.1798394e-06 3.6098613e-06 0.0022174048 8.929657e-06 7.02973e-06 5.129803e-06 3.799854e-06 5.699781e-07 2.659898e-06 3.4198688e-06 2.4889045e-05 3.989847e-06 5.699781e-06 1.0639592e-05 9.309642e-06 8.169686e-06 3.989847e-06 1.899927e-05 0.0025080936 2.3939081e-05 2.4699051e-05 1.1589555e-05 1.5769394e-05 1.5009424e-05 1.1399562e-05 1.5199416e-05 4.768817e-05 9.879621e-06 1.1779548e-05 9.11965e-06 7.02973e-06 3.6098613e-06 1.329949e-06 7.599708e-06 0.001355028 7.979694e-06 8.169686e-06 7.789701e-06 1.0449598e-05 8.359679e-06 1.12095695e-05 9.879621e-06 4.3508328e-05 1.0829584e-05 1.2159533e-05 7.599708e-06 5.129803e-06 5.129803e-06 6.8397376e-06 4.635822e-05 0.005440631 0.00013698475 7.105727e-05 7.979693e-05 0.00312728 0.0018246899 7.1817245e-05 6.592747e-05 6.4407526e-05 3.9138497e-05 6.25076e-05 4.5978235e-05 5.4527907e-05 6.478751e-05 4.920811e-05 8.5306725e-05 0.0074121854 0.00017498327 0.00014534441 9.974617e-05 0.0018640184 0.0011920142 0.00022267144 0.00019626247 0.0001094358 7.4857126e-05 9.8606215e-05 0.00010468598 9.803624e-05 7.979693e-05 7.713704e-05 0.00011247568 0.018304467 0.0008528773 0.0006697243 0.0003674459 0.0014108858 0.0007996793 0.0021680067 0.0010001216 0.00038587517 0.0001850529 0.00018809277 0.0001772632 0.0003465467 0.00018049307 0.00021146188 0.00037846545 0.04476608 0.00089220575 0.0021951757 0.0034451378 0.009864802 0.005550257 0.0364254 0.018092815 0.00032697743 0.00023863083 0.00023559095 0.00021412178 0.00016510366 0.00015047422 0.00016624361 0.0006172863 0.029609794 0.0019240561 0.0031426693 0.0021058791 0.00519839 0.0033167026 0.014613098 0.008257273 0.00056104845 0.00058213767 0.0004215938 0.00045389257 0.0003832153 0.0007848599 0.0004480028 0.00096003315 0.042593893 0.006083946 0.0054303715 0.0022227247 0.0022586333 0.001666236 0.0038118237 0.004483258 0.0018921373 0.002158317 0.0014941026 0.00090151536 0.001144516 0.0009856821 0.0013624377 0.0012769409 0.042771347 0.005240189 0.0041775596 0.003541464 0.0030351335 0.0024588855 0.0047693867 0.0031318397 0.004202259 0.0029393772 0.0021429276 0.0017194339 0.002316961 0.001954835 0.0020777602 0.0022365942 0.028234625 0.006533659 0.006672164 0.021987665 0.0036906083 0.003618981 0.005076415 0.0037966243 0.0055342973 0.0031677485 0.0025544518 0.0026407086 0.0026494483 0.0025810509 0.0030102443 0.003309673 0.024440091 0.0065836273 0.0076392265 0.0032885838 0.0029633162 0.0027414048 0.006068177 0.0023492598 0.004119992 0.0034291784 0.002162497 0.002449766 0.0027300052 0.0018771279 0.002499354 0.00520314 0.022982847 0.0072835605 0.011229519 0.003799664 0.0037958643 0.0040713535 0.010057644 0.003254385 0.009352771 0.005044496 0.003697258 0.0049793287 0.005226889 0.0029750958 0.0077640517 0.011605894 0.036728248 0.009152139 0.012679543 0.008820222 0.014451225 0.017223218 0.010118822 0.010106092 0.031225871 0.011225719 0.0070952773 0.0064120637 0.01847033 0.008006292 0.018434802 0.022262584 0.0031565388 0.001742613 0.0026754772 0.001639637 0.0023217108 0.0014262752 0.0014798532 0.0010660491 0.0019050569 0.0024702852 0.0018089205 0.0014158257 0.001093978 0.00085515715 0.000625456 0.0023327305 17773.0 16.591064 294873.0 0.009363353 0.0010784303 0.0015328632 0.0009258223 0.0034116383 0.00087156164 0.0006036497 0.00066469295 0.0029165098 0.003760941 0.003665985 0.0015803414 0.0046867635 0.0031539002 0.009505787 0.002255208 0.010594391 0.008573182 0.009638048 0.0069894497 0.008308662 0.0064841476 0.006799537 0.006362061 0.007850838 0.0067181466 0.004764763 0.004473112 0.0068266676 0.0050869356 0.0046392856 0.0040695486 0.0026587718 0.010869086 0.010004307 0.01660715 0.01497933 0.016946279 0.0065180603 0.0066604945 0.0067961463 0.015728805 0.0018550359 0.0062671048 0.011004738 0.009237875 0.0085664 0.013412554 0.013290468 0.0010818216 0.011581257 0.019204877 0.017868709 0.006151801 0.008529096 0.0053039785 0.003852506 0.002289121 0.0013768639 0.0012852991 0.0025468592 0.0013768639 0.0012683426 0.017672015 0.0031199872 0.037151586 0.007447274 0.01941853 0.023325296 0.07809125 0.006195888 0.017733058 0.010435001 0.03584594 0.0025705982 0.005293804 0.0275678 0.013365076 0.046260595 0.044113908 0.014745331 0.0007562578 0.04138392 0.02730328 0.052646395 0.01689541 0.006836842 0.0059517147 0.006141627 0.011364214 0.0016312107 0.0008885181 0.0026519892 0.001003822 0.0004713894 0.00044425906 5.8371453 1.0 20.0 0.0 5.0 2632704.0 2646016.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1298076200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 0.0 5.0 0.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -93696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -356864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2101760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.43669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.777792 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.204911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.743385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -93320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -78852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -356652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2101387.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1244.0 446464.0 0.0 0.0 0.0 0.0 93320.0 2551808.0 56.0 2547400.0 0.0 0.0 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 447712.0


Input: 0.32235035 0.00870917 0.010914607 0.020300437 0.014553607 0.016744373 0.015358714 0.020944763 0.020603439 0.008049875 0.014736545 0.005676769 0.011683186 0.0019233947 0.0007817534 0.0022090296 0.0033114487 0.0010694842 0.00061198924 0.00061618094 0.001133258 0.0010808617 0.0014578159 0.00052725687 0.0010685859 0.00033683362 0.00032395907 0.0003565945 0.0008766656 0.0013006268 0.00035689393 0.00030030587 0.0080881985 0.00049432204 0.000376056 0.0004191707 0.0011614023 0.0011551147 0.0012458352 0.00031737212 0.0008209758 0.00032994724 0.00047605817 0.0029800043 0.0007272612 0.0005491136 0.001118587 0.0013362564 0.001999145 0.0035527712 0.0012835606 0.0016320711 0.0007907356 0.00053025095 0.00055061065 0.00083534734 0.0013518255 0.0008646893 0.0013880539 0.00092576846 0.00051797525 0.0006251632 0.00059791707 0.0004036015 0.003136894 0.0013272741 0.00060719874 0.0010745741 0.0022838817 0.0035668435 0.002191065 0.000672769 0.00088474964 0.00075869897 0.0002580894 0.00040509854 0.0006182768 0.002066811 0.00085810234 0.0008595994 0.0032285128 0.0014401508 0.001227272 0.001982378 0.0008350479 0.0021853764 0.0067193066 0.0017545288 0.0009395412 0.0011790673 0.0006697749 0.0010622983 0.004618962 0.0019557308 0.001729678 0.0016470415 0.0011455336 0.0035330104 0.003939606 0.0027518556 0.0025452645 0.00578755 0.0027826948 0.001684168 0.0031189295 0.004333327 0.0019784858 0.0009973269 0.0027105375 0.0017787808 0.0033365989 0.003713553 0.0022698094 0.0008808573 0.0040126615 0.0037192418 0.006245045 0.004614171 0.0015751837 0.0013476339 0.0015048229 0.0012667938 0.0032782145 0.0015910523 0.0012000259 0.001340448 0.0012826624 0.00074971677 0.027642213 0.02666285 0.0012883511 0.0024231062 0.0025593366 0.00223418 0.0018982445 0.004830044 0.0011919419 0.003342587 0.0008084007 0.0086537795 0.00067785894 0.0044704555 0.0006691761 0.0006185762 0.000838042 0.00057935383 0.0006077975 0.0006856435 0.00073624344 0.0006371395 0.0013158966 0.0006260614 0.00074133335 0.000680853 0.00059612066 0.00056079053 0.0007500162 0.0005718686 0.00095241575 0.0006185762 0.000760196 0.0008943307 0.0008844502 0.00071049435 0.004201887 0.005679464 0.0009260679 0.00057007215 0.0008332515 0.00061109103 0.0011880496 0.0054588 0.005933062 0.0010937362 0.00087846204 0.0007931309 0.0010850533 0.00075061497 0.001985971 0.0011763726 0.00072247064 0.00077007647 0.00075750134 0.00077935815 0.000970979 0.0006063005 0.00064402586 0.00066678086 0.00071797956 0.0006290555 0.0006530081 0.0006251632 0.0036940917 0.0010476274 0.0012173915 0.0012329607 0.001280866 0.0005167776 0.0012042176 0.0011479289 0.001039244 0.0011152935 0.00065181043 0.00072097365 0.0036836124 0.0005745633 0.00091139687 0.00085421005 0.0017221929 0.0010799634 0.00065210985 0.00052216696 0.000656601 0.00046797417 0.0017332709 0.0051264577 0.00077816047 0.0005059989 0.00045420142 0.0006616909 0.00064372644 0.00039881098 0.00048653744 0.00049102854 0.0010039138 0.0005898331 0.0004610878 0.0004179731 0.0007203748 0.000421566 0.00044851267 0.00042066775 0.0043734475 0.0009356489 0.00048444158 0.0013964373 0.0014069165 0.000414979 0.0005200711 0.0007296564 0.0011733786 0.0008326527 0.0005871384 0.00071678194 0.0008575035 0.00044821325 0.00077187293 0.0006802542 0.0012907464 0.00049821433 0.0003910264 0.00065121165 0.0015329672 0.00137488 0.0014641035 0.10080906 0.1566198 1.7374425e-05 5.0925037e-06 3.14537e-06 3.190304e-05 1.3180598e-05 1.03347875e-05 4.493386e-06 6.4405194e-06 7.488976e-07 7.488976e-07 2.9955905e-07 5.991181e-07 5.991181e-07 5.991181e-07 3.3101274e-05 0.015066173 0.00020160324 4.8229005e-05 9.391176e-05 0.00017329492 6.859902e-05 8.387653e-05 4.718055e-05 1.7074866e-05 1.9471338e-06 4.9427244e-06 2.5462518e-06 5.0925037e-06 3.14537e-06 5.2422834e-06 0.0001280615 0.013092528 0.00025342696 8.402632e-05 0.00011727737 0.00041279237 0.0002077442 8.013204e-05 5.751534e-05 5.2422834e-05 1.0933905e-05 9.28633e-06 4.1938265e-06 5.0925037e-06 2.845811e-06 8.986772e-06 1.7973543e-05 0.015017195 0.0009782101 0.00041384084 0.00016595572 0.00026076616 0.00021673097 0.00015562093 0.00019007022 7.1894174e-05 3.5797308e-05 3.819378e-05 4.074003e-05 4.2237825e-05 4.133915e-05 3.8493337e-05 8.4325875e-05 0.01670506 0.00044289805 0.00065408717 0.0006209859 0.00061035156 0.0010987826 0.000564519 0.0012593463 0.009282136 0.00010005272 0.0015921564 1.6325968e-05 7.6986675e-05 1.9621119e-05 1.857266e-05 6.695145e-05 0.008239971 0.00019785875 0.00039167344 0.00017389403 0.0002583697 0.001249311 0.00042672188 0.0010367739 0.0143005 0.00012791171 0.0031906033 5.2722393e-05 0.00010110118 0.00010379721 4.5233417e-05 0.00016490725 0.026519964 0.00041279237 0.0004703077 0.00024129481 0.00050969975 0.0036559685 0.006771832 0.0009934875 0.009007591 6.4255415e-05 0.0025568863 0.00010664302 0.00012251965 0.00035572637 8.6123226e-05 0.009167855 0.09066664 0.00092803396 0.0074780425 0.0013809672 0.0018849754 0.0039738007 0.01828808 0.013317347 0.011845913 0.00027409653 0.005992529 0.0021069485 0.0016821738 0.004122382 0.002205803 0.02955779 0.08742391 0.0014471698 0.0028065688 0.001845134 0.0021051513 0.003140577 0.0033035371 0.0040146904 0.013168016 0.0064595416 0.01126372 0.006120291 0.0051564598 0.00538712 0.0028148065 0.04446355 0.012544635 0.00091230706 0.0016517686 0.001556359 0.0010495051 0.0026531946 0.003807096 0.0022034065 0.0058060535 0.00063012243 0.0023903314 0.00055388466 0.0004981667 0.0014419275 0.0002648102 0.00252723 0.012295102 0.00065348804 0.0016381387 0.0032734314 0.001660306 0.0030865066 0.0038590694 0.0025478995 0.002328173 0.0005815939 0.0010229942 0.00064914447 0.00067550567 0.0011041746 0.00035093343 0.0020036006 0.004792945 0.000402158 0.0005405543 0.001171875 0.0007813998 0.0004887306 0.0012644387 0.00097072107 0.0005657173 0.00060391106 0.00039377037 0.0002583697 0.0003612682 0.00039152367 0.00031004363 0.0011197517 0.0049785217 0.0005408539 0.0007505452 0.0007319725 0.0006788008 0.0008995758 0.00099184 0.00076088 0.0016272047 0.00047285395 0.0003970655 0.00036920654 0.0009121573 0.00037175277 0.00065528543 0.0023461464 0.018520089 0.0038082942 0.0022447458 0.0032545594 0.0062856474 0.00724199 0.0032135197 0.005226257 0.013759646 0.0010623862 0.0011708265 0.0017747376 0.0068323426 0.0016313986 0.004791597 0.014273989 0.012733656 0.0033604535 0.0022324638 0.002932084 0.0047288393 0.005050266 0.0029827096 0.0040146904 0.008031178 0.0009848004 0.0013056281 0.0013978923 0.0043397117 0.0013289937 0.0030704802 0.00807057 0.0003853827 0.00015592048 0.0001646077 0.00025866923 0.00012851083 0.00012461656 0.000314537 0.00022646664 0.00012057252 7.788535e-05 9.1964626e-05 8.043161e-05 8.11805e-05 7.399108e-05 7.6088e-05 9.316287e-05 9273.0 16.754341 155363.0 0.046780765 0.005670591 0.0030509194 0.0026582906 0.0050205 0.005026937 0.0010813385 0.0027934578 0.001493277 0.0011521404 0.0029221887 0.04111661 0.0041966233 0.0042094965 0.007955562 0.003070229 0.011534277 0.05865618 0.013787067 0.00470511 0.0042674253 0.0022592251 0.00336631 0.010407884 0.011025791 0.0038876694 0.0029672445 0.0027419657 0.0023493366 0.0038619235 0.006301372 0.0033405637 0.008483359 0.009030464 0.004582816 0.006803422 0.029144648 0.005567606 0.0042352425 0.005889433 0.0019052156 0.0062756254 0.0014868405 0.0018730329 0.003784685 0.0049690083 0.0037589388 0.006809858 0.007170304 0.003070229 0.0153318355 0.0084447395 0.0040421463 0.014417848 0.06587154 0.0040550195 0.002877133 0.0020339463 0.0015705155 0.0027805849 0.044566594 0.0035014772 0.0007852577 0.007022264 0.0014417847 0.02256007 0.037254687 0.018833313 0.013819249 0.041277524 0.0074213296 0.010948553 0.009069083 0.025913505 0.0013581098 0.0016863733 0.017932197 0.010555924 0.021948598 0.026351191 0.011984835 0.00066940003 0.030856768 0.0226888 0.03475731 0.00857347 0.0035915887 0.006758366 0.004885333 0.0064880312 0.004660054 0.0013452367 0.0058315042 0.00065009046 0.011077284 0.0010105366 5.7891073 3.0 66.0 0.0 35.0 3339928.0 339968.0 1.0 0.0 105.0 0.0 1.0 1.0 0.0 0.0 1161596900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1857524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.768358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.391288 0.0 4.961174 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16418.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10766.0 0.0 298600.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29444.0 298600.0 40960.0 0.0 0.0 5744.0 339968.0 0.0 0.0 28.0 16864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 27656.0 0.0 0.0 444.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.22373535 0.031228099 0.032038417 0.023821754 0.024532525 0.0099985665 0.042789564 0.01190789 0.012375765 0.007914038 0.030047465 0.005345709 0.005053039 0.0037509557 0.003099914 0.002116383 0.003490141 0.010687436 0.006118199 0.011165265 0.0018874236 0.002462809 0.008065351 0.006402905 0.005680189 0.0024389175 0.0019650706 0.0025683295 0.0018894145 0.002462809 0.00238118 0.010838749 0.014472238 0.0015927625 0.0016923101 0.00152507 0.0015011786 0.003097923 0.0017460659 0.0014713143 0.024930716 0.0021004556 0.007689061 0.023957139 0.004501545 0.0042287842 0.001867514 0.0015589163 0.0038664308 0.0018615412 0.0019212697 0.0016923101 0.0018734869 0.0012582823 0.0019610887 0.0012801829 0.009377389 0.0018137583 0.0018456136 0.0013100471 0.0013080562 0.0012841647 0.0012622643 0.0010253409 0.0016027172 0.0014952058 0.0012682371 0.0012662462 0.0013558391 0.0032571992 0.0010313137 0.0014135767 0.0013200019 0.0013319476 0.0011348432 0.00087601936 0.0012085085 0.0012104994 0.0010492323 0.0011746624 0.0012582823 0.00093972986 0.0011786442 0.0012841647 0.0012244362 0.0010810875 0.0010990062 0.0009875128 0.005053039 0.0036792813 0.0010870604 0.0009815398 0.0010133951 0.0008700465 0.0010293227 0.0020745732 0.0014593686 0.0050211838 0.0018794597 0.0019053421 0.0022378312 0.00459512 0.0019232607 0.0015569254 0.0011647076 0.002934665 0.0015609072 0.0011547528 0.0017679663 0.0016106811 0.0022019942 0.010502278 0.0013080562 0.0011627167 0.002126338 0.005439284 0.003820639 0.0018615412 0.0012941195 0.00092181127 0.0010392775 0.0046827216 0.0017918578 0.006191864 0.001102988 0.002926701 0.0029207282 0.0009735761 0.0030083302 0.002763443 0.0023473338 0.0017082378 0.011686895 0.0013498662 0.0024548452 0.0012085085 0.0011806352 0.00091384747 0.0009058837 0.00092778413 0.0012602733 0.0023971077 0.0017898668 0.0011129428 0.0011209066 0.0021084193 0.0010731238 0.0012124905 0.0018555683 0.0011945718 0.0014115857 0.0009596394 0.0010153861 0.001019368 0.0012045266 0.0009715851 0.0014932149 0.0013060652 0.0014713143 0.0022238947 0.0011467889 0.0010273318 0.0015569254 0.00091384747 0.0010094133 0.0010133951 0.0009636213 0.0009158384 0.0010950242 0.0009895037 0.00088597415 0.00119059 0.0011567437 0.0009914946 0.0012423547 0.0009895037 0.00119059 0.0010571961 0.001017377 0.0010810875 0.0015051606 0.0018456136 0.00097556703 0.00093972986 0.0014215405 0.0010591871 0.0008142998 0.000891947 0.001188599 0.0008620827 0.0010552051 0.0010870604 0.0009914946 0.0007983722 0.0007426255 0.0010591871 0.0011547528 0.0008441641 0.0020247994 0.00086407363 0.00080235413 0.0018436225 0.00069484266 0.00084615505 0.0007884174 0.0013677848 0.0007784627 0.0009437118 0.0010153861 0.0012682371 0.0013857033 0.0007008155 0.00090190175 0.0012742099 0.0007864265 0.00078443554 0.00088398316 0.001063169 0.0007266979 0.00094968465 0.0010114042 0.0010133951 0.0014474229 0.0007386436 0.0013518572 0.0010532142 0.0008441641 0.0009437118 0.0012702281 0.0011009971 0.0015569254 0.0008780103 0.0009974675 0.00084814604 0.0015887805 0.0009795489 0.00096959417 0.0008162908 0.0051306863 0.0009855218 0.00088398316 0.0009257932 0.00093176606 0.0007784627 0.0007724898 0.0008581008 0.0010333046 0.00071873405 0.0012025357 0.0009437118 0.000891947 0.0009914946 0.0011169247 0.0012682371 0.004455753 0.021665553 0.016096307 9.985301e-06 1.6975013e-05 0.0 1.9970603e-05 1.9970603e-06 3.9941206e-06 9.985301e-07 0.0 1.9970603e-06 4.9926507e-06 0.0 6.989711e-06 9.985301e-07 6.989711e-06 0.00018772366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018422882 0.000110836845 4.7929447e-05 0.0 3.9941206e-06 0.0 0.0 0.0 2.9955904e-06 0.0 2.9955904e-06 0.0 0.0 9.985301e-07 9.985301e-07 3.1952964e-05 0.0035667499 7.988241e-05 4.9926508e-05 2.5961785e-05 0.000109838315 1.9970603e-05 1.5976482e-05 1.3979422e-05 5.192357e-05 3.9941206e-06 2.1967664e-05 1.1982362e-05 1.9970603e-05 9.985301e-06 1.1982362e-05 7.588829e-05 0.0016296012 8.986772e-06 3.5947087e-05 3.1952964e-05 4.8927977e-05 1.7973543e-05 0.00018472808 6.690152e-05 0.0 1.9970603e-06 3.9941206e-06 1.9970603e-06 9.985301e-07 1.9970603e-06 3.9941206e-06 4.9926507e-06 0.0013889555 0.00037245176 0.00018772366 5.991181e-06 7.988241e-06 9.985301e-07 0.0 1.9970603e-06 2.3964723e-05 9.985301e-07 4.9926507e-06 3.9941206e-06 1.9970603e-06 2.9955904e-06 3.9941206e-06 3.5947087e-05 0.0072742924 0.0006490446 0.0010804096 0.00010085155 9.28633e-05 7.1894174e-05 6.690152e-05 6.490446e-05 0.000110836845 9.086625e-05 0.00010085155 9.7855955e-05 9.9853016e-05 0.00011882509 9.28633e-05 0.000111835376 0.012325856 0.0003544782 0.0007079579 0.0019970604 0.0005212327 0.00018273102 0.00052922097 0.00033950026 0.00019071926 0.0001887222 0.00017374425 0.00016076336 0.00015776776 0.00017673984 0.00017673984 0.00022167369 0.020187285 0.002983608 0.0015567085 0.00053820777 0.0004663136 0.0003345076 0.0006690152 0.0008687212 0.0013500127 0.00048229008 0.00060411077 0.00060810486 0.0005921284 0.0006760049 0.00037045468 0.00043236357 0.11695684 0.02088326 0.027025219 0.005508891 0.0031313905 0.003497851 0.0070076846 0.008659254 0.009694729 0.00211289 0.0017494248 0.0018003499 0.00193615 0.0019631104 0.0019231691 0.0049636937 0.22272815 0.040122937 0.050098255 0.015357394 0.0072243656 0.009455082 0.0153893465 0.015972488 0.013111699 0.0058923266 0.0053900657 0.005772503 0.004806924 0.004958701 0.0057695075 0.021713039 0.040942732 0.0064405194 0.005612738 0.0039561763 0.002956648 0.003013564 0.007934321 0.0052482747 0.005304192 0.0044983784 0.002065959 0.0025881901 0.0024024635 0.0013030819 0.0046062195 0.0033760306 0.011479103 0.0016665468 0.0026181461 0.0009326272 0.0013709819 0.0013949466 0.003691566 0.0020919207 0.0013100716 0.0018293073 0.0010035228 0.0007998227 0.00048129153 0.00058314163 0.0019221705 0.0015896601 0.004845867 0.0010424654 0.0021138883 0.0007109535 0.0005032592 0.0008217903 0.001389954 0.00049527094 0.00040140914 0.0007149476 0.0003934209 0.00042537384 0.00045632827 0.000563171 0.0005531857 0.00092863303 0.0016266056 0.0003714532 0.0014548585 0.00020469868 0.00016675454 0.00066502107 0.0010554463 0.00019171779 0.00020070457 0.0003305135 0.00018972073 0.00019970603 0.00020569722 0.00035847232 0.0003305135 0.00062807545 0.0060900357 0.0056007556 0.005470947 0.005591769 0.0054080393 0.00542102 0.0054349997 0.0055218716 0.005351123 0.0055528264 0.0054240157 0.0055668056 0.00542102 0.0052762334 0.005599757 0.0052033407 1269.0 11.051222 14024.0 0.021748431 0.0024244152 0.01340559 0.0024244152 0.0026383342 0.0019965773 0.001925271 0.0020678837 0.0017826583 0.001925271 0.00427838 0.0024244152 0.0024244152 0.0045636054 0.009626355 0.0018539646 0.010125499 0.0058471193 0.0054905876 0.0067741014 0.005561894 0.0040644608 0.005134056 0.0029948659 0.0032800913 0.0044209925 0.0018539646 0.002353109 0.0018539646 0.0037079293 0.0033513976 0.0018539646 0.0014974329 0.011622932 0.007059327 0.013191671 0.008342841 0.009555048 0.0056332 0.0069880206 0.0044209925 0.0114090135 0.0014974329 0.0045636054 0.007059327 0.007059327 0.006203651 0.0064175697 0.0068454077 0.00213919 0.007273246 0.015616086 0.009055904 0.0041357675 0.0045636054 0.004920137 0.007986309 0.0054905876 0.0014974329 0.0009982886 0.0012122076 0.0012122076 0.0014261267 0.011551626 0.0022104962 0.043069024 0.01476041 0.022675414 0.018824872 0.10061324 0.016970906 0.01711352 0.006702795 0.040288076 0.00427838 0.004706218 0.030376498 0.024529379 0.037649743 0.04007416 0.014403879 0.0029235596 0.04627781 0.032373074 0.06838277 0.019181402 0.0077723903 0.0046349117 0.0069880206 0.017398745 0.003850542 0.0013548203 0.001283514 0.0014261267 0.001069595 0.0012122076 5.686256 0.0 0.0 0.0 3.0 502272.0 524288.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1544027500.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 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 485888.0 512.0 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 -485888.0 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 -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 -6.2193575 0.0 2.580155 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 -485588.0 0.0 15360.0 0.0 0.0 0.0 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 87.0 493684.0 15360.0 499712.0 0.0 0.0 0.0 0.0 12.0 516096.0 0.0 0.0 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