Input: 0.056746125 0.008306688 0.006172993 0.0056608235 0.0057551702 0.004962033 0.004201036 0.005421327 0.0050532697 0.0056328303 0.0037521098 0.0044737095 0.0049599595 0.0031715126 0.0043254495 0.004650999 0.005038755 0.003770772 0.00493404 0.0041554174 0.0043492955 0.003174623 0.0041087624 0.0038443834 0.0050688214 0.0033477654 0.0031601079 0.002933053 0.0041595646 0.0034338182 0.0037873604 0.0037915076 0.006171956 0.003817427 0.0034846205 0.0030284368 0.0048967157 0.0041595646 0.0038402362 0.0037199697 0.0047277207 0.0038920753 0.0033332503 0.003098938 0.0043731416 0.0037355213 0.0037251536 0.0035800042 0.0055198213 0.0039397674 0.0031010115 0.002904023 0.0036753882 0.0030678345 0.0026831888 0.0028604784 0.0041740797 0.0033094045 0.0035271284 0.0033570963 0.0040092315 0.0032150573 0.003505356 0.0034555905 0.006598073 0.003940804 0.003614218 0.0032202413 0.004157491 0.0032223149 0.0035395697 0.0030678345 0.005000394 0.003770772 0.0037023444 0.003590372 0.0041222405 0.003122784 0.0035634157 0.0034701054 0.0051631685 0.0036225123 0.0036556893 0.0033332503 0.003930436 0.003372648 0.0033622803 0.0035395697 0.0046478887 0.0036411744 0.0038070593 0.0035074295 0.004110836 0.0033861261 0.0036826455 0.0037915076 0.005907577 0.0036225123 0.0033425814 0.002955862 0.004001974 0.0030491725 0.0032648228 0.0030232528 0.0049744747 0.0031652919 0.003197432 0.0030522828 0.0035706733 0.0028273014 0.0030823494 0.003193285 0.00451207 0.003287632 0.0032233517 0.003141446 0.0038951857 0.0033291033 0.003287632 0.003627696 0.004620932 0.0032855584 0.003482547 0.0031715126 0.0040330775 0.003193285 0.003468032 0.0033436182 0.008655046 0.004598123 0.004011305 0.003524018 0.0043700314 0.0034327814 0.0030159955 0.00339131 0.0045431736 0.0038288317 0.0029537885 0.0031912115 0.003732411 0.0027920508 0.0028470003 0.0029869657 0.0052243387 0.0032098736 0.003501209 0.0030232528 0.0036650202 0.00317877 0.0033031837 0.003259639 0.0045411 0.002838706 0.0030388047 0.0027039244 0.0035115767 0.003226462 0.002989039 0.0031476666 0.0050117983 0.0034089354 0.003263786 0.0027982714 0.0037780295 0.0030118483 0.0030574666 0.003183954 0.004144013 0.0030014806 0.0031176 0.0030149587 0.0036463581 0.0028345587 0.0029185382 0.0030294736 0.0046665506 0.0031134528 0.0038402362 0.0028615152 0.0035644525 0.0031569977 0.0029880023 0.0031165632 0.004252875 0.0031435194 0.0033373975 0.0031798068 0.0036494685 0.0031943216 0.0033291033 0.0033498388 0.0067297444 0.0040600337 0.0037241168 0.0033415447 0.0041232775 0.0032534183 0.003302147 0.0032243885 0.004334781 0.003331177 0.0031176 0.0030864966 0.0036442846 0.0029869657 0.003074055 0.0027920508 0.0042466545 0.0032720803 0.0030906438 0.0029962966 0.0037189329 0.0030305104 0.0029392736 0.002947568 0.0039822753 0.0031061955 0.0027298438 0.00263446 0.0035271284 0.0029454944 0.0035789674 0.0028884714 0.0049630697 0.003235793 0.0034027146 0.0029734874 0.003802912 0.0030761287 0.003193285 0.0029123174 0.0044394955 0.0054524303 0.0034649216 0.0031300413 0.0037925444 0.003089607 0.0032523815 0.0031901747 0.0046105646 0.0033280666 0.0034224135 0.0030388047 0.0037386317 0.0030916804 0.003315625 0.0032399402 0.0043555163 0.0030336208 0.003189138 0.0028656623 0.004016489 0.0030906438 0.004224882 0.0045203646 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045872466 0.0002945271 0.00027322973 0.00026491855 0.00031011054 0.00023946559 0.00033036902 0.00031322724 0.00032725232 0.00035322472 0.00032725232 0.00035322472 0.0005225648 0.00015167886 0.00018700134 0.0007391747 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.099270694 0.062016394 0.06246104 0.055313956 0.06057908 0.059557326 0.054916576 0.054463618 0.060474154 0.05313383 0.05211052 0.052943714 0.056423496 0.050523605 0.05666244 0.05383041 4018.0 5.7038326 22918.0 0.01710446 0.010472118 0.0093376385 0.008595863 0.013482852 0.01243564 0.0118684005 0.01151933 0.012522908 0.009773977 0.008508596 0.008595863 0.013875556 0.010515752 0.011781133 0.009992146 0.016755389 0.0118684005 0.008770399 0.0075486517 0.0098176105 0.008464962 0.007810455 0.00833406 0.0102975825 0.00855223 0.009599442 0.008944934 0.011562964 0.008944934 0.009686709 0.009206737 0.01802077 0.010864822 0.010341217 0.009032202 0.0109084565 0.008814032 0.010646653 0.00833406 0.01426826 0.011650232 0.0098176105 0.008944934 0.01151933 0.0093376385 0.011693865 0.009555807 0.014791867 0.009643075 0.009948513 0.009032202 0.012086569 0.0093376385 0.009555807 0.009773977 0.013701021 0.009206737 0.010559386 0.009555807 0.011170259 0.009861245 0.01038485 0.010690287 0.017933503 0.010995724 0.009686709 0.008203159 0.013090148 0.0082467925 0.009424906 0.00833406 0.015446374 0.009294005 0.0089013 0.008683131 0.011344794 0.00798499 0.009904878 0.007854088 0.013221049 0.008072258 0.008726765 0.0089013 0.011432062 0.009424906 0.0082467925 0.007854088 0.010864822 0.008814032 0.011912034 0.008508596 0.011301161 0.008988568 0.009992146 0.008814032 6.55466 0.0 0.0 0.0 14.0 964524.0 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: 0.18517432 0.011622787 0.0024498736 0.0020970693 0.0022269012 0.002023686 0.0022889948 0.0038300443 0.0073298635 0.0025147896 0.0058763097 0.0056759166 0.0029437996 0.0024780978 0.0017640218 0.0022353686 0.0020067513 0.0016793488 0.0017273301 0.0020970693 0.0017103956 0.0018289379 0.0017075732 0.001583386 0.0019446576 0.0017611994 0.0015354046 0.0016906386 0.0017075732 0.0016426572 0.0050719157 0.013906137 0.0020039289 0.0016454796 0.005300533 0.0018486949 0.0018204706 0.0016652367 0.0017499097 0.0017724892 0.0019361904 0.0017047507 0.0017442649 0.001693461 0.0021394058 0.0017950686 0.0017301526 0.0017611994 0.0018289379 0.001778134 0.0017753115 0.0017075732 0.001693461 0.0016906386 0.001713218 0.0016737039 0.0016793488 0.0016200776 0.0016793488 0.0016567693 0.0016962835 0.0015128251 0.0016962835 0.0018740968 0.0018007135 0.0016708815 0.001758377 0.0016906386 0.0019559474 0.0017103956 0.010307533 0.0016708815 0.0018712744 0.0017329751 0.0016567693 0.0017329751 0.0018317603 0.0017188629 0.0017245078 0.0016370122 0.0017866014 0.0018458725 0.0017866014 0.0016200776 0.0016426572 0.0015890308 0.0015015354 0.0016878161 0.0017301526 0.0016454796 0.00151847 0.0016087879 0.0016793488 0.0018345828 0.0017188629 0.0016172553 0.0019700597 0.0017696667 0.001803536 0.0017216853 0.0018345828 0.0019503025 0.0046739522 0.0017075732 0.0021111814 0.0020519102 0.0017470872 0.0016652367 0.0019220782 0.001758377 0.0017357975 0.0018317603 0.0017668443 0.0016059655 0.010428897 0.0017809565 0.0018317603 0.0017414424 0.0016567693 0.001668059 0.001803536 0.0016652367 0.0019164333 0.0016313674 0.0015974982 0.001628545 0.0016116104 0.0019023211 0.0022410133 0.0017611994 0.001628545 0.0017075732 0.0018402276 0.012667088 0.0016821712 0.0015918533 0.0018994987 0.0018261154 0.0016595918 0.0022833499 0.0020490878 0.0017160404 0.0016793488 0.0016737039 0.0016737039 0.0016793488 0.0015720963 0.0016313674 0.0016172553 0.0015466943 0.0015946757 0.0016906386 0.012424359 0.001803536 0.001543872 0.0016200776 0.0016398347 0.0016652367 0.0016567693 0.01259935 0.0016878161 0.0017019283 0.0017611994 0.0015720963 0.0018853865 0.001972882 0.0020575551 0.0018712744 0.0016708815 0.0016426572 0.0017357975 0.0017950686 0.0017470872 0.0016708815 0.0015974982 0.00151847 0.0017611994 0.001628545 0.0016229001 0.0016737039 0.0017019283 0.001563629 0.0018120032 0.0016962835 0.105578825 0.0017753115 0.0016426572 0.0017753115 0.001583386 0.0015862085 0.012565481 0.0016652367 0.0022607704 0.001778134 0.0017724892 0.001668059 0.0017245078 0.0017160404 0.0018769193 0.0016398347 0.0016849936 0.0016878161 0.0017273301 0.0016821712 0.0016849936 0.0016595918 0.0017329751 0.0016483021 0.00173862 0.0016878161 0.0017019283 0.0017075732 0.0015974982 0.0017753115 0.0016059655 0.0017301526 0.0016793488 0.0016849936 0.001868452 0.0016454796 0.0019644147 0.001668059 0.0015269374 0.0015523392 0.0017640218 0.0016708815 0.0015692739 0.0017075732 0.001778134 0.001668059 0.0015269374 0.0015946757 0.0018317603 0.001907966 0.0015579842 0.0016737039 0.001583386 0.0016370122 0.001668059 0.0016003207 0.002297462 0.0020011065 0.0020744896 0.0017470872 0.0017527321 0.0015523392 0.001713218 0.0016849936 0.0018120032 0.0018063583 0.0013942829 0.0016144328 0.001603143 0.0016652367 0.0017329751 0.15684554 0.0057971017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026848393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8399003e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0001953125 0.0075110393 2.830616e-06 5.519701e-05 2.830616e-06 2.830616e-06 4.2459237e-06 7.07654e-06 7.784194e-05 3.396739e-05 8.491847e-06 1.8399003e-05 5.661232e-06 1.1322464e-05 5.661232e-06 1.415308e-05 0.0009341033 0.063762456 0.0004472373 0.00010473279 9.199502e-05 3.5382698e-05 3.396739e-05 0.00010897871 0.00014153079 0.0001783288 7.218071e-05 0.00017266757 4.387455e-05 0.00014719203 9.624094e-05 7.359601e-05 0.018547611 0.034448598 0.0008520154 0.00026183197 8.067255e-05 3.2552085e-05 2.830616e-05 0.0002689085 0.00020521965 0.00014294611 4.670516e-05 0.00010190217 3.5382698e-05 0.00013870018 3.1136777e-05 3.396739e-05 0.01256652 0.013476563 0.0008633379 0.00041893116 1.6983695e-05 5.661232e-06 0.0 0.0003892097 2.830616e-06 8.491847e-06 4.2459237e-06 5.9442933e-05 0.0 6.510417e-05 4.2459237e-06 1.6983695e-05 0.004957824 0.013267097 0.0010133605 0.00070340803 9.057971e-05 7.359601e-05 1.8399003e-05 0.00059725996 0.000118885866 0.00042176177 0.00052932516 7.5011325e-05 0.00013020834 3.9628623e-05 2.122962e-05 3.8213315e-05 0.008948992 0.018257473 0.0012794384 0.00055621605 0.00010897871 0.00020380435 4.5289857e-05 0.00062839675 0.00013020834 0.00060150586 0.0055168704 0.00022644928 0.0005703691 4.670516e-05 6.6519475e-05 0.00013586956 0.018002717 0.015064538 0.001539855 0.0006906703 0.00017125226 0.0006510417 0.00010190217 0.00071614585 0.0007854959 0.0016898777 0.0035736526 0.00029013812 0.0016601563 6.510417e-05 7.784194e-05 9.4825635e-05 0.016305763 0.017377151 0.0034434444 0.0006765172 0.00015426856 0.0024612206 0.00016700634 0.00080389495 0.0025220788 0.0032693613 0.0053810007 0.00027598505 0.003106601 0.00011322464 0.00012596241 9.624094e-05 0.029591259 0.016042516 0.006557122 0.001075634 5.519701e-05 0.005141814 0.0002505095 0.0010586503 0.0052607 0.0052819294 0.0060688406 0.00048403532 0.0050809556 0.00019814311 0.00042459238 0.00035807292 0.042313464 0.002513587 0.0010742188 0.0003000453 7.784194e-05 0.0008477695 7.784194e-05 0.00032976677 0.0009341033 0.00088032155 0.00078832655 0.00010048687 0.00079823367 4.812047e-05 0.000114639945 9.624094e-05 0.0055112094 0.0012299026 9.199502e-05 8.77491e-05 0.00011322464 0.00011322464 7.5011325e-05 0.00015709919 9.624094e-05 9.057971e-05 9.765625e-05 6.935009e-05 0.00036798007 8.350317e-05 6.935009e-05 7.218071e-05 8.350317e-05 0.00076851225 0.00013870018 0.00017125226 8.491848e-05 0.00024201766 0.00017974411 0.00019955842 0.00018115943 0.00036514946 7.07654e-06 1.2737772e-05 2.9721466e-05 0.0001245471 5.2366395e-05 0.000114639945 0.00022644928 0.025537817 0.023569124 0.024258379 0.023465807 0.023905966 0.023073766 0.024222996 0.023041213 0.023951257 0.023335598 0.023359658 0.11744084 0.024111187 0.02338938 0.022947803 0.022852978 0.0031603826 0.0028376924 0.0029707314 0.0027570198 0.00282637 0.0028178783 0.0027046534 0.002762681 0.003078295 0.0026494565 0.002715976 0.012759001 0.0028235393 0.0027188065 0.0027131455 0.0027768342 64.0 12.921875 827.0 0.059250303 0.0012091899 0.024183797 0.0 0.0048367595 0.0 0.031438936 0.018137848 0.0036275694 0.0 0.0 0.0 0.0012091899 0.007255139 0.014510278 0.018137848 0.0048367595 0.0048367595 0.0036275694 0.008464329 0.0012091899 0.006045949 0.0 0.0 0.0024183798 0.0024183798 0.006045949 0.0 0.014510278 0.009673519 0.012091898 0.0024183798 0.0036275694 0.009673519 0.0 0.0036275694 0.007255139 0.008464329 0.008464329 0.008464329 0.008464329 0.0048367595 0.0 0.0024183798 0.006045949 0.0048367595 0.0036275694 0.0012091899 0.008464329 0.0 0.0048367595 0.006045949 0.0048367595 0.006045949 0.009673519 0.006045949 0.0 0.0036275694 0.0012091899 0.0012091899 0.0 0.0036275694 0.0024183798 0.0024183798 0.0012091899 0.036275696 0.026602177 0.027811367 0.020556228 0.08948005 0.007255139 0.0048367595 0.007255139 0.032648128 0.0024183798 0.0012091899 0.037484884 0.022974607 0.029020555 0.043530833 0.0048367595 0.0048367595 0.048367593 0.053204354 0.038694076 0.020556228 0.010882708 0.0 0.008464329 0.007255139 0.0024183798 0.0012091899 0.0012091899 0.0012091899 0.0012091899 0.0012091899 5.514517 0.0 0.0 0.0 1.0 354304.0 372736.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1539689000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 -185856.0 0.0 166400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0141273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7562666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1085 0.0 3.0453978 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -185823.0 0.0 166048.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 192588.0 166048.0 200704.0 0.0 0.0 0.0 0.0 48.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 192512.0 0.0 0.0 0.0 0.0


Input: 0.056545626 0.008288703 0.0061697783 0.0056542526 0.0057544652 0.004963097 0.00419859 0.005410437 0.0050364486 0.005610862 0.003750217 0.0044589355 0.0049568983 0.0031913004 0.0043256637 0.0046345657 0.005048846 0.0037574489 0.004938302 0.0041593313 0.0043432266 0.0031840685 0.0041066427 0.0038535288 0.0050715744 0.0033483342 0.003179936 0.002924756 0.0041397023 0.0034547453 0.003795674 0.0037905085 0.0061646127 0.0038235683 0.0034898713 0.0030156702 0.004892845 0.0041686296 0.0038514624 0.0037181904 0.0047265133 0.0038948534 0.00333697 0.0030941872 0.004365955 0.0037192234 0.0037347202 0.003583885 0.005508583 0.0039568404 0.0031024523 0.0029009944 0.003679965 0.003083856 0.002696437 0.002862769 0.0041603646 0.003330771 0.0035239642 0.00333697 0.0040136618 0.0032212608 0.0034991694 0.0034568117 0.0065923235 0.003946509 0.0036148785 0.003232625 0.0041603646 0.0032264264 0.0035363615 0.0030807566 0.0050054546 0.003785343 0.0037223229 0.003584918 0.004129371 0.0031251807 0.0035456596 0.0034588778 0.005161456 0.0036221105 0.0036376072 0.0033318044 0.0039330786 0.0033896589 0.003365897 0.0035539246 0.0046428307 0.003653104 0.0038132372 0.003514666 0.0041076755 0.0033886258 0.0036840974 0.003795674 0.0059084 0.0036252097 0.0033452348 0.0029485177 0.004014695 0.0030559618 0.0032760159 0.0030373659 0.0049599977 0.003162373 0.003189234 0.0030549287 0.0035807856 0.0028421066 0.0030869555 0.0032047308 0.004497161 0.003293579 0.0032212608 0.0031406775 0.0038927873 0.0033266388 0.0032915128 0.0036293422 0.00461287 0.0032977115 0.0034826396 0.0031561744 0.004040523 0.0031943996 0.0034650764 0.0033462679 0.008636863 0.00458291 0.0040270924 0.0035301629 0.0043783523 0.0034268512 0.0030311672 0.0034030895 0.0045374525 0.0038318331 0.0029557494 0.0031913004 0.003723356 0.0027997487 0.0028534709 0.0029826106 0.005227575 0.003216095 0.0034857388 0.0030280678 0.0036696338 0.003179936 0.0033039101 0.0032791153 0.004540552 0.0028462391 0.0030445976 0.0027026357 0.003514666 0.003222294 0.0029857098 0.0031510086 0.0050033885 0.0034092881 0.0032708503 0.002792517 0.0037698462 0.0030105046 0.003047697 0.003189234 0.004145901 0.0030022399 0.003116916 0.0030187697 0.0036417397 0.0028348747 0.0029226898 0.0030435645 0.0046665925 0.0031138165 0.003838032 0.002855537 0.0035683883 0.0031489425 0.002986743 0.0031231146 0.0042523122 0.0031499756 0.0033328375 0.0031768368 0.0036603357 0.003187168 0.0033225063 0.0033576323 0.0067028673 0.0040529203 0.003724389 0.0033442017 0.0041180067 0.0032450224 0.0033101088 0.0032305587 0.0043308293 0.0033349036 0.003117949 0.003092121 0.0036479384 0.0029826106 0.0030807566 0.002801815 0.004250246 0.0032811814 0.0030807566 0.003003273 0.0037109584 0.0030094716 0.0029392196 0.0029392196 0.003972337 0.0031076178 0.0027294967 0.0026582116 0.003541527 0.0029557494 0.0035911168 0.002890663 0.0049568983 0.003250188 0.0033927583 0.0029733125 0.0038070385 0.0030714588 0.003196466 0.0029009944 0.0044413726 0.0054393644 0.003468176 0.00314481 0.0037987735 0.0030766244 0.00325742 0.0032005983 0.004614936 0.0033214733 0.0034196193 0.0030600943 0.0037419521 0.00308179 0.0033121752 0.0032377907 0.0043504583 0.003040465 0.003187168 0.0028761995 0.0040136618 0.0030993528 0.0042471467 0.004504393 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.0045709126 0.00029172737 0.00027052022 0.0002668995 0.0003020723 0.00024000264 0.00032690016 0.00030155506 0.00033258987 0.00034759004 0.0003294864 0.00035379702 0.00051724707 0.00015672587 0.0001877607 0.0007381116 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09908282 0.062046893 0.06246793 0.055333026 0.060626533 0.059586864 0.054964744 0.05447336 0.06048946 0.05318438 0.052127127 0.05295938 0.056443036 0.05057642 0.056670107 0.05388318 4034.0 5.7017846 23001.0 0.017173165 0.010390853 0.009347419 0.008695274 0.013477675 0.012477718 0.011782097 0.011521238 0.012608147 0.009738707 0.008564845 0.008608322 0.013868962 0.010564758 0.011825573 0.009999565 0.01665145 0.011912526 0.008695274 0.007477936 0.009782183 0.008608322 0.00778227 0.008303987 0.010260424 0.008434416 0.009608278 0.0088257035 0.011521238 0.0089126555 0.009608278 0.009260467 0.017999217 0.010956045 0.010434329 0.009173514 0.010912569 0.0088257035 0.01065171 0.00839094 0.014173297 0.011564715 0.00982566 0.008956132 0.011434286 0.009347419 0.011608191 0.009564801 0.01473849 0.009564801 0.009956089 0.008956132 0.012042955 0.009390896 0.009564801 0.009869136 0.013651581 0.009260467 0.0105212815 0.009608278 0.011173427 0.009782183 0.010390853 0.01065171 0.017999217 0.010956045 0.009738707 0.008130081 0.013086388 0.008217034 0.009347419 0.008303987 0.0153906355 0.009303943 0.0089126555 0.008651798 0.011347333 0.008130081 0.009869136 0.008043129 0.013129864 0.007999652 0.008695274 0.008695274 0.011477762 0.009434372 0.008086605 0.007999652 0.010869092 0.008999608 0.011999479 0.008521369 0.011434286 0.009043085 0.010129995 0.0088257035 6.554829 0.0 0.0 0.0 14.0 967944.0 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: 0.122890204 0.006382622 0.0032924844 0.0031171269 0.008486107 0.0024418056 0.0023013582 0.0023027516 0.009249437 0.0012214895 0.0012527327 0.0012296303 0.005482365 0.0029942812 0.0010500923 0.0041175676 0.04131759 0.0013474155 0.0008982037 0.0007587097 0.00275013 0.009099089 0.0008330038 0.00076223 0.004315661 0.0014154024 0.00063527725 0.00078665244 0.0019535765 0.00057565124 0.00058709236 0.00080660114 0.0044813375 0.0006615332 0.0014253034 0.0006905028 0.0032130566 0.004450681 0.0008763482 0.00059229956 0.001696224 0.0007202791 0.0007777049 0.0008777416 0.0013037778 0.0005719842 0.0014660074 0.00072519295 0.0050027166 0.0036773032 0.0038185574 0.0078046983 0.004425232 0.0030742225 0.0032518539 0.0030180435 0.006705101 0.0030486267 0.003096078 0.0037300352 0.005270117 0.0028921908 0.0028085825 0.005023472 0.0176303 0.003226918 0.0025197668 0.0023195466 0.002205135 0.02332308 0.002829778 0.002280236 0.0020396784 0.0012336641 0.0015064182 0.0009852591 0.0023650911 0.015994068 0.0017225533 0.00152424 0.011358202 0.0021785859 0.0009718377 0.0025239473 0.0023407422 0.0048573553 0.005847968 0.0025892204 0.0022264773 0.0026247173 0.0011448485 0.0013722047 0.0016253035 0.0037780001 0.002232858 0.0046283854 0.0032769362 0.0042850045 0.0011776318 0.0043986826 0.00868288 0.0089483 0.0022843431 0.0027808598 0.007010052 0.0069477856 0.0043044398 0.0007452883 0.0045179343 0.0023484428 0.0047216015 0.00563154 0.0049359766 0.0010430516 0.0062652035 0.0060090246 0.011282148 0.008571402 0.0030915309 0.0018452522 0.0024148163 0.0022945374 0.0010162089 0.0010198759 0.0017356079 0.0021491027 0.0012759817 0.001077155 0.0029199137 0.0016579401 0.0009755048 0.008666745 0.0027048055 0.004499746 0.0014321241 0.0012841225 0.013810863 0.010886841 0.001895344 0.0341855 0.0014789155 0.018681346 0.00093582744 0.0019669977 0.0018222233 0.0009826922 0.00091250514 0.0015123588 0.0012041811 0.0007485153 0.00071045145 0.00069585664 0.0011953069 0.0005268797 0.00059692 0.0005221859 0.0011858459 0.00056487013 0.00054968864 0.000526953 0.0017084718 0.0038025691 0.00063227024 0.0021256339 0.0012193626 0.000669674 0.0006489186 0.00059420645 0.001346462 0.00058555225 0.00057374436 0.00063146354 0.0013260734 0.00049526984 0.00043843075 0.0004856622 0.0018947573 0.000580125 0.0005912728 0.00051778543 0.001341695 0.00063337036 0.00072695315 0.0006307301 0.0025477095 0.0030442995 0.0004433446 0.0005842321 0.001402201 0.0024004416 0.0005510821 0.00049871684 0.004918228 0.003630952 0.002501725 0.0029936212 0.004347344 0.0024979112 0.009513757 0.009661098 0.0044010296 0.0011514492 0.0005788049 0.0009818121 0.026408523 0.0011917131 0.0022742953 0.001603448 0.0022308044 0.0006090946 0.00060132047 0.00066593365 0.0016060149 0.00047033397 0.001925047 0.0007915663 0.006484566 0.0007396411 0.00041745533 0.00068170193 0.0017900267 0.00038811905 0.00041708862 0.00040168708 0.00291566 0.00046057967 0.00048991595 0.000549982 0.002736782 0.008877673 0.0006044008 0.00054257456 0.01358094 0.0071554133 0.0004228092 0.0014700412 0.008441736 0.00039508642 0.0004168686 0.000500037 0.005844741 0.0009851857 0.00050289725 0.0006720943 0.0042938055 0.0005348738 0.001285956 0.00080770126 0.0018308042 0.0011015041 0.00059816684 0.0006185555 0.013578739 0.00073656073 0.0016378447 0.056695376 0.0009013069 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8300461e-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 5.6808447e-05 6.487679e-05 1.9804106e-06 5.8678836e-07 4.0341698e-07 3.667427e-07 5.134398e-07 3.667427e-07 3.667427e-07 2.9339418e-07 4.7676554e-07 8.4350825e-07 6.601369e-07 7.701597e-07 7.701597e-07 7.701597e-07 1.0635539e-06 3.1393178e-05 1.8337136e-07 1.8337136e-07 2.2004564e-07 7.334854e-07 4.0341698e-07 1.9070621e-06 5.8678836e-07 3.6674273e-08 0.0 0.0 0.0 3.6674273e-08 0.0 1.1002282e-07 3.931482e-05 0.0010438598 1.2139184e-05 3.0806389e-06 7.848294e-06 1.7236907e-06 0.0019148737 0.006597555 0.0038874727 2.053759e-06 3.8141243e-06 6.2713e-06 1.6503423e-06 9.168568e-07 6.968112e-07 6.968112e-07 3.495058e-05 0.0022671302 0.00026651192 0.00054057874 5.959569e-05 0.00018824903 0.000127003 0.0014900756 0.000874608 5.710184e-05 9.759024e-05 5.013373e-05 1.7016862e-05 1.9950803e-05 1.6796816e-05 1.536652e-05 0.00029654815 0.011883564 0.0020045424 0.0016871631 0.0013248947 0.0059615495 0.0026614885 0.010744828 0.0068872813 0.0003741876 0.0005634635 0.00026262447 0.00017614652 0.00013895881 0.00014376314 0.0001669046 0.0016612711 0.03073579 0.006517348 0.003011508 0.0052668652 0.0142631745 0.0068137865 0.018883582 0.014376791 0.0016419805 0.001759118 0.0008578112 0.0007859663 0.00062514964 0.0007134246 0.000705833 0.0045034904 0.017371576 0.004796628 0.0018311831 0.0013982799 0.0029773274 0.0018883216 0.00551383 0.00535272 0.0018245816 0.0009899853 0.00060428196 0.00064909796 0.0006025216 0.00057395233 0.00052392867 0.0020727932 0.009652412 0.0046066185 0.0035440915 0.03944263 0.0030241238 0.0033763435 0.0046905293 0.0038392828 0.0038219357 0.0028378551 0.002631379 0.002934712 0.003304242 0.0027206808 0.0030890373 0.003074184 0.005942222 0.0020727564 0.0010657177 0.0010098994 0.0014974105 0.0011824885 0.0016066264 0.0015707957 0.0026210002 0.00057494256 0.00083789707 0.0015117502 0.0023682043 0.00057068834 0.0012702134 0.002087683 0.06071521 0.02859559 0.0061957515 0.009185988 0.030364977 0.019979997 0.013555874 0.011208024 0.053128622 0.0028988444 0.0059782364 0.006669913 0.041538894 0.0073919194 0.021549838 0.04336769 0.037122834 0.019950364 0.00662385 0.00892274 0.025414757 0.01433909 0.008939831 0.00800581 0.044499937 0.004519554 0.006040179 0.005629537 0.030050201 0.008077508 0.02222978 0.034522116 4.7273137e-05 1.8997272e-05 2.2958095e-05 2.7505703e-05 1.5183148e-05 1.7383605e-05 3.6087484e-05 2.4021649e-05 1.7016862e-05 9.79203e-06 1.23959035e-05 9.498636e-06 1.0342144e-05 8.545106e-06 9.828705e-06 1.3606154e-05 63044.0 31.86484 2008887.0 0.015434417 0.0016013843 0.0012862844 0.0006058081 0.0090059815 0.0021832986 0.0022027122 0.0010921471 0.0030295383 0.001550112 0.0022758872 0.00044950264 0.002243531 0.0010144921 0.0070242877 0.0020842387 0.010448074 0.013221749 0.013708089 0.011441659 0.013676727 0.008131866 0.009213559 0.008508692 0.009321081 0.0075116223 0.00953314 0.007281146 0.009232974 0.0075479606 0.007580317 0.02232281 0.08779886 0.013795201 0.0077191996 0.0069182585 0.006738557 0.007832696 0.0038274925 0.0038459108 0.0046543186 0.0044318074 0.00063219084 0.0013908199 0.0035905454 0.0068664886 0.0036263862 0.0030693612 0.0077505605 0.0036537645 0.0032873924 0.00664796 0.0046642744 0.015168101 0.017900957 0.002346573 0.007730649 0.0006884409 0.0055139987 0.00046543186 0.0030225692 0.00054557575 0.0005804209 0.019445095 0.0019468492 0.02671778 0.0057653817 0.027199639 0.020735363 0.051533014 0.009653605 0.016184583 0.00854503 0.044459444 0.0011777666 0.0027517725 0.024562357 0.012943486 0.029927516 0.035738695 0.016843157 0.0013380543 0.03551718 0.033173095 0.047893185 0.021994269 0.013161019 0.0043755574 0.0039046498 0.0085938135 0.001402269 0.00036438086 0.002224117 0.000467423 0.00059535453 0.00039524373 5.754017 3.0 56.0 0.0 8.0 13634992.0 14180352.0 1.0 10861.0 1326.0 1.0 1.0 1.0 1.0 0.0 1542792200.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 8960512.0 1024.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 0.0 0.0 -1022464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3443712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -175104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8960512.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.718593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.764679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1825814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4075723 0.0 -0.7095449 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -1022076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3443226.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8960475.0 0.0 -12220.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 1.0 -1.0 -2.0 -1.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 -1.0 0.0 -1.0 1.0 -1.0 -3.0 -1.0 -1.0 -1.0 0.0 -2.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 -3.0 -1.0 0.0 -2.0 2.0 2.0 -2.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 1.0 -1.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 -1.0 2.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 -3.0 0.0 -1.0 1.0 2.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 1.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 2.0 1.0 -1.0 -3.0 1.0 -2.0 0.0 4.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 2.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 -3.0 0.0 -2.0 -1.0 1.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 2.0 0.0 2.0 0.0 0.0 -2.0 -1.0 1.0 -1.0 1.0 1.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 1.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 -2.0 1.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 -2.0 1.0 1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 1.0 2.0 0.0 2.0 1.0 0.0 1.0 1.0 -2.0 -3.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 2.0 -2.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 3.0 1.0 -2.0 -1.0 2.0 1.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 3.0 -1.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 1.0 3.0 -1.0 -1.0 -1.0 -1.0 2.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 1.0 -2.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -2.0 0.0 0.0 3.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 2.0 3.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 3.0 0.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 -2.0 0.0 -1.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 -2.0 -4.0 2.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 1.0 3.0 1.0 -1.0 1.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 3.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 4.0 -1.0 1.0 -1.0 4.0 0.0 0.0 -2.0 0.0 1.0 0.0 1.0 2.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 1.0 0.0 0.0 -1.0 1.0 2.0 1.0 0.0 1.0 2.0 0.0 2.0 -1.0 0.0 -3.0 -2.0 -2.0 0.0 -1.0 -3.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 2.0 0.0 -1.0 -1.0 -3.0 1.0 2.0 -2.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 4.0 1.0 2.0 -1.0 2.0 0.0 -1.0 1.0 0.0 0.0 3.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 -2.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 1.0 -2.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 1.0 2.0 0.0 3.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -3.0 2.0 -1.0 -1.0 1.0 -2.0 0.0 2.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 -1.0 1.0 1.0 -1.0 2.0 1.0 3.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -3.0 -1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 2.0 -1.0 0.0 4.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 2.0 0.0 -1.0 -2.0 -1.0 -3.0 0.0 0.0 -1.0 -2.0 0.0 -2.0 -1.0 -1.0 -1.0 -3.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 1.0 -1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 -2.0 2.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 2.0 0.0 1.0 2.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 -1.0 -2.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 2.0 0.0 0.0 1.0 -1.0 0.0 -2.0 1.0 0.0 1.0 -1.0 1.0 -1.0 2.0 0.0 2.0 0.0 -2.0 2.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 1.0 5.0 4.0 0.0 20.0 -1.0 -4.0 -10.0 -4.0 1.0 -17.0 13.0 -2.0 0.0 16.0 -6.0 3.0 12.0 5.0 1.0 8.0 -6.0 -9.0 -20.0 -8.0 10.0 -4.0 11.0 17.0 -19.0 2.0 4.0 16.0 2.0 8.0 -12.0 -1.0 1.0 8.0 -11.0 4.0 -2.0 -12.0 2.0 -1.0 -6.0 4.0 14.0 -1.0 -4.0 -4.0 -5.0 2.0 7.0 11.0 -1.0 -4.0 0.0 15.0 9.0 2.0 5.0 5.0 6.0 9.0 7.0 -17.0 11.0 -3.0 -7.0 -1.0 25.0 9.0 -15.0 -4.0 4.0 -9.0 14.0 5.0 3.0 -3.0 4.0 -16.0 -3.0 5.0 -17.0 -16.0 -23.0 -14.0 10.0 13.0 -3.0 -11.0 -13.0 13.0 1.0 -16.0 -1.0 -12.0 4.0 -6.0 25.0 -9.0 -6.0 -16.0 7.0 -8.0 -11.0 -7.0 -7.0 -3.0 7.0 10.0 11.0 -10.0 1.0 -2.0 5.0 -19.0 -14.0 1.0 -3.0 -1.0 -5.0 -22.0 4.0 10.0 -20.0 3.0 972468.0 11390880.0 540.0 12363348.0 1600.0 13152256.0 0.0 0.0 15792.0 13619200.0 1022076.0 13156352.0 84.0 9552160.0 0.0 0.0 0.0 0.0 24.0 9552244.0 64.0 9551952.0 0.0 0.0 5452.0 8966144.0 96.0 11177352.0 0.0 0.0


Input: 0.19153546 0.006051209 0.0041298904 0.0029580153 0.0058514234 0.003036538 0.0028069338 0.00285365 0.007311546 0.0027055503 0.0025395595 0.0023825143 0.0052013756 0.0028586197 0.0023795324 0.005819617 0.005129811 0.0027453084 0.0023099554 0.0023556775 0.0033854167 0.0027383508 0.0023367924 0.0022105598 0.0028099157 0.0025395595 0.0022214933 0.002277155 0.0026240458 0.002156886 0.002159868 0.0023149252 0.0035951415 0.0021737835 0.0024729643 0.0023129373 0.0038754374 0.0022612517 0.0021419767 0.0023010098 0.0025932333 0.0021191158 0.0021767654 0.0025952212 0.002571366 0.0031379214 0.0023576654 0.0021807412 0.0032581901 0.0026290156 0.0027085321 0.004186546 0.0028079278 0.0025097409 0.0025246502 0.0025395595 0.002966961 0.0027184717 0.002687659 0.00362993 0.0030425016 0.0031418973 0.002689647 0.0038694737 0.0041875397 0.0032552083 0.0037054708 0.002619076 0.0058931694 0.014124125 0.002711514 0.0025127227 0.0031339456 0.002297034 0.0025942272 0.0021708016 0.0025922393 0.009197081 0.0023517017 0.0023119433 0.005453841 0.0040265187 0.0031737038 0.0026866652 0.0028198552 0.0074149175 0.0032820452 0.0028278069 0.0026310035 0.0032512324 0.0021101702 0.002318901 0.0024272425 0.0034559877 0.0027910306 0.0028069338 0.0025097409 0.0031071089 0.0023298345 0.0025783237 0.0038197758 0.0036289361 0.0034380963 0.0023079675 0.003451018 0.0028427162 0.0036716762 0.002299022 0.0036011052 0.0024868797 0.0029818702 0.0031906012 0.0028914202 0.0022145356 0.0038088423 0.003420205 0.005718233 0.0050423425 0.002437182 0.002346732 0.002571366 0.00248191 0.0022463421 0.0020753816 0.0024163087 0.0025872693 0.002227457 0.0025157046 0.0036209845 0.0026677798 0.0021608619 0.007106791 0.0027979882 0.005329596 0.0021876988 0.00211514 0.0028377464 0.010081703 0.002692629 0.022345142 0.002435194 0.006824507 0.0021449586 0.0020714058 0.0025166986 0.0021708016 0.0020604723 0.0022870945 0.0023149252 0.002849674 0.0021648377 0.0020883032 0.002409351 0.002225469 0.0021310432 0.0021608619 0.0024143208 0.0021012246 0.0020197202 0.0022533 0.0024182966 0.0029510576 0.0021260735 0.0025316079 0.0023397743 0.002184717 0.0021310432 0.002023696 0.0023487199 0.002137007 0.0021171279 0.002138001 0.0024401639 0.002095261 0.002113152 0.0021459525 0.002712508 0.002158874 0.0020892972 0.002066436 0.0023964297 0.0021310432 0.0032065045 0.002298028 0.0030534351 0.002203602 0.0022006202 0.0021777593 0.0025107348 0.0022920643 0.0023000159 0.002254294 0.0046984334 0.0031359335 0.0032035226 0.003631918 0.0037124285 0.002502783 0.0032929787 0.0046129534 0.003261172 0.0029013597 0.0023079675 0.0022125477 0.011210838 0.0021727895 0.0022890824 0.0022711912 0.0029600032 0.0022403784 0.0025793177 0.0021767654 0.0027254294 0.002064448 0.0022125477 0.0022006202 0.0029928037 0.0023139312 0.0021191158 0.0023367924 0.0027741333 0.0022582698 0.0021519163 0.0021698077 0.0032323473 0.0022383905 0.00224833 0.0021489344 0.0031737038 0.0028983778 0.0021777593 0.0022026082 0.008759741 0.003351622 0.0021956505 0.00390625 0.005603928 0.0021171279 0.0021747774 0.0023228768 0.004280972 0.0023377864 0.0021906807 0.0022801368 0.0037969148 0.002137007 0.0025803116 0.0026856712 0.0039827847 0.0025564567 0.0024252546 0.0022453482 0.0053822757 0.0024322122 0.004638796 0.021823315 0.117227316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009009063 3.484168e-06 1.990953e-06 6.570145e-05 2.9864298e-06 3.981906e-06 4.4796443e-06 1.990953e-06 1.990953e-06 3.981906e-06 2.9864298e-06 3.981906e-06 4.9773826e-06 4.9773826e-06 6.470598e-06 4.4796443e-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 0.00081579306 1.1945719e-05 9.954765e-06 1.5429887e-05 1.3936672e-05 9.457027e-06 1.4932149e-05 1.5429887e-05 1.2443457e-05 1.1447981e-05 1.5927624e-05 1.69231e-05 1.2443457e-05 1.6425363e-05 1.3438934e-05 1.3438934e-05 0.006228697 0.00012294136 0.00029665203 6.76924e-05 0.0005823538 8.013586e-05 0.0005370596 0.00024638046 2.3393699e-05 0.00011796397 2.5882391e-05 2.6877868e-05 2.5384652e-05 6.520371e-05 6.6199194e-05 0.00066149415 0.009330104 0.00036733085 0.00051466137 0.00021203651 0.0010347979 0.00028122214 0.0008785081 0.000509684 8.162908e-05 0.00016226267 5.126704e-05 5.3755735e-05 5.773764e-05 8.511324e-05 8.113134e-05 0.00056991033 0.0061157104 0.00012642553 0.00061072485 0.00014135767 0.0008506347 0.00020257948 0.0019785096 0.0010467436 6.570145e-05 0.00011398207 7.466074e-05 8.511324e-05 8.8099674e-05 7.3665266e-05 9.656123e-05 0.00056194654 0.007675622 0.00037131275 0.00077149435 0.00044547574 0.001740093 0.00055049855 0.0027420402 0.0015982377 0.00014832601 0.00017719483 0.00010751147 0.00028321307 0.00011597302 0.00012443456 0.00011298659 0.00036484216 0.0073705083 0.00029466106 0.00069434487 0.000785431 0.0017828986 0.0005853402 0.002622583 0.001677378 0.00017968351 0.00021502294 0.00017719483 0.00019312245 0.00026628998 0.0001353848 0.00012244361 0.00022696865 0.003255706 0.00054701435 0.0006958381 0.0067786975 0.00075108703 0.0004957473 0.0007829423 0.0009352502 0.000540046 0.0005042089 0.0004628966 0.00047733102 0.00050918624 0.0004902722 0.00057488773 0.0005475121 0.009356982 0.0011851148 0.0005315845 0.00093176606 0.0046453914 0.0027733976 0.0009800467 0.0006958381 0.00771793 0.00054203696 0.0005380551 0.00061420904 0.0035150277 0.0007545712 0.002685298 0.005346207 0.035658967 0.005343718 0.0033273804 0.00402073 0.018236134 0.012654 0.0045085135 0.005101817 0.030911539 0.0020666092 0.0023224468 0.0032293259 0.016636403 0.0033288735 0.011548524 0.020513786 0.013709703 0.0028311354 0.0019869711 0.0031914979 0.0048579257 0.004737971 0.0024205013 0.0036643492 0.008296799 0.00090040854 0.001304572 0.0017241654 0.0049076993 0.0021034419 0.0040839426 0.0075765722 0.03177163 0.031155927 0.031470496 0.03132317 0.031246018 0.03118181 0.030828914 0.031563077 0.031546153 0.03140579 0.031213168 0.031395838 0.031350046 0.031149955 0.031436153 0.031490907 3475.0 9.126618 31715.0 0.022859845 0.00498187 0.0053917705 0.0050449315 0.012202428 0.0045089074 0.005234116 0.00690525 0.006810657 0.004761154 0.005580955 0.0050449315 0.007031373 0.005265647 0.009333123 0.004950339 0.011824058 0.010594356 0.012013243 0.010657418 0.012896106 0.009869147 0.011634873 0.009932209 0.012328551 0.010531294 0.012486205 0.012265489 0.014472647 0.010468232 0.012076304 0.017089706 0.02799937 0.0102159865 0.0051710545 0.0076304586 0.008544853 0.0072836196 0.0062746336 0.0064007565 0.007725051 0.0061169793 0.0051079933 0.004950339 0.008229544 0.0058962638 0.0050449315 0.0048872773 0.01150875 0.0059593255 0.006558411 0.008261075 0.009522308 0.0072836196 0.011603342 0.009080877 0.009112407 0.0052025854 0.0060539176 0.0052025854 0.006747596 0.0052025854 0.004288192 0.012896106 0.0075358665 0.024751695 0.011634873 0.017941037 0.01879237 0.035819013 0.0099952705 0.008734037 0.009301593 0.022418413 0.006211572 0.005549425 0.022134637 0.010783541 0.021188712 0.03156235 0.0133690685 0.0052025854 0.02421567 0.023616586 0.0346839 0.012328551 0.007094435 0.0050449315 0.009743024 0.009017815 0.0056755478 0.004729623 0.0071890275 0.0043197223 0.0048872773 0.005517894 6.3373795 0.0 0.0 0.0 14.0 1006080.0 1019904.0 1.0 0.0 75.0 1.0 1.0 0.0 1.0 0.0 1542294000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 274432.0 1024.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -636928.0 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 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.144549 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.981723 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4852347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3406167 0.0 6.137641 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -636676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79162.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273930.0 0.0 5848.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 355952.0 5848.0 372736.0 0.0 0.0 0.0 0.0 14084.0 380928.0 28.0 332016.0 0.0 0.0 0.0 0.0 24.0 332208.0 64.0 332048.0 0.0 0.0 304.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.18865472 0.006664379 0.0061870953 0.005679019 0.007827897 0.0022962415 0.0026261613 0.002076295 0.010544236 0.0015660191 0.0035961254 0.0017155828 0.005518458 0.001981718 0.0057098116 0.0029758762 0.013843433 0.006061726 0.0022720473 0.0014384502 0.0022874437 0.011725348 0.0018431518 0.001167916 0.0022302575 0.0015902133 0.0011217272 0.0013218785 0.0019091357 0.0011151287 0.0011811127 0.0010337486 0.004258164 0.001418655 0.0015484234 0.0022500528 0.002870302 0.0027559297 0.0012141047 0.0010733389 0.0032574078 0.0012514957 0.0010821369 0.00088418496 0.0018563486 0.0013812641 0.0013152801 0.0011217272 0.00337178 0.0013086817 0.001262493 0.0019795187 0.0022500528 0.0013306764 0.001040347 0.0008731876 0.0041459915 0.0012888865 0.0010623416 0.0015770164 0.0017705694 0.0012426978 0.00096776464 0.00079840585 0.02524766 0.003347586 0.0028505067 0.002511789 0.0027647277 0.013383745 0.0026591532 0.0009611662 0.0025095898 0.0014208545 0.0023886191 0.0012382988 0.002335832 0.01089835 0.0012448973 0.0011041315 0.01665435 0.009695242 0.008780264 0.0028351105 0.0054502743 0.007594753 0.0034311656 0.002010311 0.0017551731 0.0010447459 0.0012229026 0.0014582453 0.0016649951 0.0019465266 0.0011393229 0.0018343539 0.0021026887 0.0030858496 0.001508833 0.0016561972 0.0033299902 0.0040316195 0.0025029914 0.0011745144 0.008958422 0.0020345051 0.007005296 0.0012119053 0.0029626794 0.0017991625 0.001981718 0.0022566512 0.0023336324 0.0010227512 0.0025227864 0.0017287795 0.0032882004 0.002307239 0.0013944609 0.0010117539 0.0023006406 0.0012866871 0.0009567673 0.00082699885 0.0031144426 0.0045858845 0.0010821369 0.0008028048 0.0044099274 0.0016342025 0.0011217272 0.00801705 0.0023974169 0.013410139 0.0010491449 0.0011547192 0.0031760277 0.020901516 0.0009611662 0.02943984 0.0017617715 0.022650091 0.00096556515 0.0009193764 0.0045330976 0.002080694 0.0019575239 0.0008907834 0.0022500528 0.0048256265 0.00082699885 0.000818201 0.0019091357 0.0010095545 0.00082699885 0.0008731876 0.0034355645 0.0011129293 0.0008072037 0.0007830096 0.0027845227 0.0016232053 0.001007355 0.0008555919 0.0019993137 0.0010447459 0.001447248 0.0009919588 0.0020543004 0.0010469453 0.0013218785 0.00070822774 0.002861504 0.0011261262 0.00084899354 0.00075881544 0.0031232403 0.0026745496 0.0017265801 0.0011129293 0.0021334812 0.0012822881 0.0009853604 0.0010601422 0.0041745845 0.0019047367 0.000974363 0.0010887352 0.0016539977 0.0023512281 0.00090398017 0.0010887352 0.0049553947 0.0013548705 0.0014604448 0.001924532 0.004772839 0.00083139783 0.0014252533 0.0069811023 0.0026789485 0.0010667406 0.0008072037 0.0009259748 0.0030132672 0.0007940069 0.0010117539 0.00080940314 0.0037676836 0.0009259748 0.0010029561 0.0032222164 0.0027515308 0.0008731876 0.0022302575 0.0027339351 0.0031848254 0.0009259748 0.0007808101 0.0039898297 0.0021532762 0.0009237753 0.0008731876 0.0008247994 0.0037126972 0.0010183523 0.004005226 0.00087978604 0.0041767843 0.0011151287 0.0014384502 0.0010381475 0.006506018 0.0013064822 0.0007918074 0.0022874437 0.006110114 0.0007434192 0.0007368208 0.00074561866 0.003178227 0.00078520906 0.00085339247 0.0008753871 0.0028966956 0.0006356454 0.00072802295 0.0011701154 0.002936286 0.0007522171 0.001229501 0.0009589668 0.004392332 0.0017067849 0.009594067 0.08396238 0.020316027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020379955 4.40886e-06 0.0 6.61329e-06 0.0 0.0 0.0 5.511075e-06 1.322658e-05 1.983987e-05 2.3146515e-05 1.4328795e-05 6.61329e-06 0.0 1.322658e-05 0.00011242593 0.0040109605 4.849746e-05 8.487055e-05 1.6533226e-05 3.0862022e-05 2.7555376e-05 3.967974e-05 1.983987e-05 6.61329e-06 3.0862022e-05 1.2124365e-05 1.322658e-05 1.322658e-05 2.7555376e-05 9.919935e-06 0.00012234587 0.018743167 4.0781957e-05 0.0006194448 5.1804105e-05 0.0017999171 0.00026783824 0.00029208697 8.266613e-05 4.5190816e-05 0.00022264743 3.967974e-05 4.5190816e-05 2.645316e-05 2.645316e-05 0.00022374965 4.629303e-05 0.0034587507 2.865759e-05 5.8417394e-05 4.5190816e-05 0.00022926072 0.00014328795 0.0002634294 0.00014328795 1.983987e-05 6.61329e-06 3.1964235e-05 1.102215e-05 2.20443e-06 3.0862022e-05 1.763544e-05 2.424873e-05 0.010052201 0.00018958098 0.00040120626 0.00024689618 0.000968847 0.00012234587 0.00028547368 0.00014328795 0.00014549238 7.6052835e-05 0.00011463036 7.825727e-05 5.731518e-05 0.0001399813 0.00014549238 0.00037695753 0.010569139 0.00032184678 0.00039789962 0.00028437146 0.0011374858 0.00017966104 0.0006756578 0.00046403252 0.00028878034 0.00019509206 0.00016753668 7.274619e-05 0.0001465946 0.00016202561 0.0001697411 0.0005687429 0.014963671 0.00066684006 0.001475866 0.00068006665 0.0017690551 0.0003527088 0.0019652494 0.0009919935 0.00022264743 9.1483846e-05 0.0001763544 0.00021713636 0.00018958098 0.00018517212 0.00017414997 0.00070872426 0.017826123 0.00095010933 0.0012686495 0.00075060845 0.0020931063 0.00084099005 0.0024932104 0.0013358846 0.00079579925 0.00042876165 0.0007781638 0.0004199439 0.0003295623 0.00044198823 0.0005455964 0.0025615478 0.022409134 0.0015034212 0.0019090364 0.0014031198 0.0031457217 0.0014846836 0.005737029 0.0028889056 0.0009313717 0.00045962367 0.00070211093 0.00044860152 0.0005147344 0.0006194448 0.00062164926 0.002625476 0.010521744 0.0009457005 0.001117646 0.00073958625 0.0018869921 0.0008002081 0.0035281903 0.0016874912 0.0006591246 0.0003670376 0.0005599252 0.00040671733 0.000456317 0.00080461695 0.00039349077 0.0022132478 0.027549865 0.007345161 0.0035491323 0.0027533332 0.010659521 0.011381472 0.004243528 0.0027566398 0.03245913 0.0042314036 0.0018792766 0.004465073 0.0052366233 0.0030156602 0.0058163884 0.048730027 0.04476536 0.015011067 0.0031567437 0.0036317986 0.023891613 0.02312888 0.00888716 0.004571988 0.04013716 0.0060820226 0.0030321935 0.0064556734 0.009103194 0.007963504 0.010221942 0.031494692 0.02834346 0.010862329 0.0019641472 0.0027665596 0.015569889 0.018119313 0.006627619 0.0038026418 0.023575276 0.0045565567 0.0027852973 0.004233608 0.006209879 0.0068061776 0.006956079 0.017092047 0.018580038 0.0143210795 0.013563858 0.012945515 0.01383831 0.011810234 0.012637997 0.011724261 0.014926196 0.0122257685 0.012226871 0.011412335 0.0125928065 0.010995697 0.011381472 0.010235169 1749.0 8.461978 14800.0 0.028108109 0.0019594594 0.0025675676 0.024459459 0.0025 0.0022297297 0.003918919 0.0025 0.012432433 0.0021621622 0.0023648648 0.0027027028 0.0023648648 0.0020945945 0.009324324 0.0014864865 0.0029054054 0.0031756756 0.004391892 0.0038513513 0.003445946 0.0022297297 0.0018243244 0.001418919 0.013040541 0.0017567568 0.0027702702 0.0027702702 0.0012837838 0.0015540541 0.0027027028 0.0013513514 0.0030405405 0.004864865 0.005675676 0.018378379 0.014797297 0.0090540545 0.007027027 0.003918919 0.0035135136 0.009256757 0.0030405405 0.0022297297 0.009459459 0.010675675 0.008108108 0.0062162164 0.0072297296 0.0025675676 0.0069594593 0.017297298 0.019054053 0.002837838 0.006891892 0.0032432433 0.002635135 0.0018243244 0.0041216216 0.0016216217 0.0030405405 0.0010810811 0.0016216217 0.022432432 0.0022972974 0.052432433 0.02108108 0.017635135 0.018445946 0.05418919 0.011216216 0.006554054 0.042567566 0.02472973 0.036891893 0.008175676 0.026081081 0.023581082 0.024054054 0.033040542 0.012567568 0.0025675676 0.03587838 0.019662162 0.045945946 0.0096621625 0.01722973 0.002972973 0.0114864865 0.008783784 0.0012162162 0.0010135135 0.012635135 0.034527026 0.0014864865 0.002027027 5.8269544 8.0 0.0 0.0 4.0 454656.0 466944.0 0.0 0.0 90.0 0.0 1.0 0.0 0.0 0.0 991883700.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 442368.0 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 -442368.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.535078 0.0 3.2031307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -438964.0 0.0 1616.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 441060.0 1616.0 462848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 468.0 4096.0 0.0 0.0 0.0 0.0