Input: 0.17730916 0.015020313 0.0068173455 0.006490979 0.0144265955 0.0054110936 0.003862627 0.0037019802 0.013584806 0.002129501 0.001764579 0.002011975 0.008282952 0.0033417928 0.0015317255 0.013284819 0.031200157 0.0021065031 0.0011997784 0.0012674192 0.003747976 0.0018115893 0.0011933525 0.000971829 0.0031840208 0.0013653293 0.00081794616 0.0010120752 0.0023422313 0.00078040553 0.0009670941 0.0012396865 0.0038748023 0.0008260631 0.0012202398 0.00093107537 0.0072901547 0.001564024 0.0006780989 0.00079562474 0.0023797718 0.00086749304 0.0007153013 0.0019727435 0.002001829 0.0015919259 0.0009537351 0.0007411739 0.004140631 0.0025461682 0.002844633 0.0063754823 0.0032301857 0.0024156214 0.002442847 0.0025767756 0.0034084192 0.0027837565 0.002275605 0.0052134134 0.004098017 0.0039530965 0.0035634856 0.004340171 0.007655584 0.0031848664 0.001651957 0.001620335 0.003979307 0.015722593 0.0035927403 0.0028678002 0.0044108555 0.0017618734 0.0011492169 0.0011519225 0.002560542 0.009825162 0.0020895929 0.0021323757 0.009031735 0.008843863 0.0015395043 0.0027105354 0.001968854 0.004046779 0.0046963 0.0037177065 0.0018640109 0.002286935 0.00064867514 0.0023085799 0.0015575981 0.004254098 0.0034486654 0.0031221295 0.0017574767 0.002141338 0.0011864194 0.0013819012 0.0047754394 0.003089831 0.0039928355 0.00084145134 0.00379803 0.001968516 0.005232691 0.000756224 0.0024367592 0.0012178724 0.0018051635 0.0018399984 0.002121215 0.00060166477 0.002224198 0.0020299 0.011304128 0.0098723415 0.0012317387 0.0010568872 0.0020131588 0.00087747007 0.00053131836 0.00057968154 0.001660243 0.0027118882 0.0013293105 0.0010918913 0.0038196752 0.0019279314 0.00079308817 0.013695906 0.0037246398 0.008132451 0.001134505 0.001457659 0.0018369546 0.014389055 0.0011674799 0.042078823 0.0010340585 0.011999137 0.00077347236 0.000638529 0.0019759564 0.00045184043 0.00051981944 0.0009060483 0.0010272944 0.0005595584 0.0004996963 0.00040229358 0.0010399771 0.0040058563 0.00055634545 0.00034276966 0.00089201285 0.00038318505 0.00042816615 0.0004562371 0.0012420539 0.0026549008 0.00036881136 0.0019877935 0.0009877245 0.0004903957 0.00046384666 0.0004234313 0.0017661009 0.00039299295 0.00038470695 0.0005710573 0.0010998391 0.00036407652 0.00039265477 0.000555669 0.00186418 0.000656792 0.00041818916 0.00055888196 0.0011049123 0.00046232477 0.0015065294 0.0008225119 0.0038436875 0.0011537827 0.000844157 0.00053131836 0.00219748 0.0004834625 0.00071902154 0.0006507043 0.008298848 0.0042287325 0.0034977049 0.005803072 0.0053179185 0.0006349779 0.004845617 0.009354044 0.004197449 0.0037833182 0.0010093696 0.0014987506 0.016350975 0.0006123182 0.002567137 0.0019712215 0.0036764457 0.0010108915 0.0017187523 0.0007519964 0.001676646 0.0005166065 0.00088693976 0.00076332624 0.0022962354 0.0010362568 0.00083333446 0.0014084502 0.0019269169 0.00055736006 0.00058475457 0.0005881366 0.0036247005 0.00077972916 0.00064495485 0.0006062305 0.0027003891 0.0025015252 0.0007141176 0.00065797573 0.016641155 0.004303645 0.0006300739 0.004340678 0.0060858103 0.000534024 0.0006507043 0.00079545565 0.0054521854 0.0014314482 0.0013639764 0.0026104269 0.002680266 0.0005844164 0.002542617 0.0016801971 0.004375175 0.002021614 0.0016424874 0.0011049123 0.0073001315 0.0010658497 0.0024788657 0.04658167 0.017469017 2.3682444e-06 1.1841222e-06 1.7761834e-06 1.5224429e-06 2.5374047e-07 1.0149619e-06 9.3038176e-07 2.5374047e-07 7.6122143e-07 9.3038176e-07 1.099542e-06 9.3038176e-07 1.7761834e-06 2.5374047e-07 1.116458e-05 0.0022918684 5.4977104e-06 3.5523667e-06 3.8906874e-06 2.6219848e-06 2.4528247e-06 2.2836643e-06 2.4528247e-06 3.0448857e-06 2.791145e-06 2.6219848e-06 2.791145e-06 4.1444277e-06 3.3832064e-06 2.9603054e-06 8.8724584e-05 0.0057262457 2.6135269e-05 7.443054e-06 8.796336e-06 8.035115e-06 1.1925802e-05 5.0748095e-06 8.373436e-06 1.2517863e-05 2.6219848e-06 9.895878e-06 5.58229e-06 1.4547787e-05 1.6323971e-05 1.2687024e-05 0.00053293956 0.010619631 0.0001539359 2.0722138e-05 5.2355117e-05 0.00014725406 4.465832e-05 1.03187795e-05 3.4508703e-05 2.672733e-05 9.388397e-06 1.9030536e-05 1.7254351e-05 2.4697407e-05 4.964855e-05 4.821069e-05 0.001539951 0.006983107 5.396214e-05 1.4040306e-05 2.8249773e-05 8.796336e-06 1.4547787e-05 5.7514508e-06 3.4847024e-05 1.7508093e-05 7.527634e-06 1.040336e-05 2.2413742e-05 1.5647329e-05 3.0110536e-05 4.296672e-05 0.0029301103 0.00013279085 5.0748095e-06 3.3832063e-07 3.5523667e-06 0.0 0.0 1.6916032e-07 2.5374047e-06 3.5523667e-06 1.6916032e-07 0.0 0.0 2.706565e-06 0.0 1.6916032e-06 0.00019385772 0.00280933 9.5152674e-05 0.0003551521 4.3135882e-05 0.00014082596 0.00011883512 0.001666652 0.0008840318 2.9772216e-05 3.772275e-05 3.1379237e-05 2.647359e-05 3.121008e-05 3.5439087e-05 3.5100766e-05 6.893283e-05 0.004692253 0.00045199637 0.00027057194 0.0002037536 0.0003367982 0.00012822352 0.00071664766 0.00040251698 4.4489163e-05 7.4430536e-05 5.0663515e-05 6.504214e-05 4.6096186e-05 7.4430536e-05 5.37084e-05 0.00035650536 0.013334823 0.0020540291 0.0007852422 0.0011407326 0.0010218129 0.00035735118 0.0018112841 0.00092006294 0.00021085833 0.00030381192 0.00022320704 0.00018802169 0.00022320704 0.0002204159 0.00015934902 0.002335935 0.024457876 0.0046825265 0.0015701461 0.0026837285 0.0023843993 0.0010025286 0.0023372036 0.0015689619 0.0005627118 0.000838866 0.0005789512 0.00056804036 0.000532855 0.0006516901 0.00050621224 0.0046142703 0.011082707 0.002465004 0.0011755796 0.0033191792 0.0028451073 0.001465605 0.005282369 0.0021417388 0.0006591332 0.00039253652 0.00039625805 0.00047753958 0.00036851576 0.00024968063 0.00022642108 0.0024430978 0.0070569455 0.0024639892 0.0020140228 0.026079193 0.002604223 0.0021298975 0.002936031 0.0023754337 0.0024224604 0.0016974392 0.0016363723 0.0017607898 0.0019373085 0.0016985388 0.0017668795 0.002299396 0.016462343 0.004404258 0.0015709918 0.0019231837 0.0036655348 0.002708172 0.0022305478 0.0024113804 0.00679314 0.0007361857 0.0007390614 0.00090517686 0.0046265344 0.001247219 0.0023337358 0.0044051884 0.109358 0.024667634 0.0127149355 0.01247219 0.03446303 0.030775843 0.01312904 0.01957853 0.0666468 0.006444839 0.006194228 0.00828082 0.04713153 0.0097964965 0.0262651 0.04185407 0.045689862 0.013251004 0.007498285 0.007711765 0.017283786 0.016901484 0.007604179 0.010465864 0.030796397 0.0035547349 0.0038872194 0.005102298 0.018634615 0.0057635456 0.014319674 0.02087878 0.000798775 0.0004258611 0.00039126782 0.00052896433 0.00044954353 0.00038813835 0.00046358386 0.00039761132 0.0003955814 0.0003371365 0.00036031147 0.00039118322 0.0003892379 0.00038856125 0.0004425234 0.00038052612 19960.0 14.911072 297625.0 0.021412851 0.0021335573 0.0015657287 0.0012969341 0.013795884 0.0027921041 0.0015086099 0.0018143638 0.0059739607 0.0021604367 0.001851323 0.00200252 0.006790424 0.011954641 0.006535069 0.0017975641 0.021819403 0.018936582 0.01846955 0.01849643 0.022309953 0.01796556 0.017451491 0.017666526 0.021695087 0.018637547 0.014541789 0.015059219 0.020640068 0.014222596 0.015395212 0.020606468 0.03147585 0.009790844 0.0023687526 0.0040655187 0.009545569 0.0046064677 0.004388072 0.004199916 0.0067333053 0.0047778245 0.0013204536 0.0017942041 0.008117598 0.002304914 0.003396892 0.002950021 0.010089878 0.0031381773 0.003195296 0.0053389333 0.008742545 0.0058261235 0.010267954 0.0040251995 0.00550021 0.0025602689 0.001448131 0.002402352 0.0065014698 0.0017841243 0.0027517849 0.013150777 0.0051776567 0.030938262 0.014407392 0.01849643 0.026351953 0.037732046 0.0109063415 0.0075800084 0.015307854 0.02247123 0.0025837882 0.003648887 0.028959261 0.01450819 0.020018479 0.026607309 0.014407392 0.0015119697 0.02353297 0.019685846 0.0370399 0.011161697 0.0058294833 0.0044317516 0.0073784124 0.0044216714 0.0015858883 0.0012364553 0.0071264175 0.0011894162 0.0015354893 0.0043712724 6.076332 1.0 19.0 0.0 7.0 5913592.0 5955584.0 1.0 1.0 564.0 1.0 1.0 1.0 1.0 0.0 1526865900.0 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 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 4233728.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -293888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 958976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4234240.0 0.0 275456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.589978 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6172132 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.967727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.468997 0.0 0.87871534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -293736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 958536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -168936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4233959.0 0.0 275336.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 2.0 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 -1.0 -1.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 2.0 -1.0 0.0 2.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 3.0 1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 -3.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -3.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 2.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 3.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -2.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 2.0 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 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 1.0 0.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5184352.0 400.0 5184424.0 275336.0 5382144.0 0.0 0.0 6136.0 5907456.0 293736.0 5660672.0 112.0 4749248.0 0.0 0.0 0.0 0.0 24.0 4749452.0 64.0 4749360.0 0.0 0.0 2336.0 4239360.0 0.0 0.0 0.0 0.0


Input: 0.0064877397 0.003963497 0.0038837274 0.003905519 0.0040002833 0.0038961226 0.0039173146 0.0039019203 0.003942905 0.0038961226 0.0038917242 0.0038851267 0.0038649344 0.0038625353 0.0038945233 0.003942505 0.0038939235 0.0038823278 0.0038937235 0.003847141 0.0038567376 0.0038859264 0.0039091175 0.0038937235 0.0038431427 0.003831947 0.003868333 0.0038645347 0.0038361454 0.0038823278 0.0038807285 0.003940506 0.0040012826 0.0038521392 0.0039097173 0.0038649344 0.003973893 0.003871332 0.0038303474 0.0038757303 0.003884927 0.0038745308 0.003868733 0.003858137 0.0039045194 0.0038175525 0.0038807285 0.003926511 0.0039227125 0.0038889253 0.0038495401 0.003968895 0.003915715 0.0038773296 0.0038565376 0.003863535 0.003860536 0.0038409436 0.003919114 0.003960098 0.003926311 0.0039041196 0.00390252 0.0038977219 0.004071456 0.003911117 0.0038699326 0.0038839271 0.0038735312 0.0040046815 0.0038787292 0.003868733 0.0038689328 0.0038939235 0.0038909246 0.0038725315 0.0039291102 0.003918114 0.0038755303 0.003923512 0.00393031 0.0038647344 0.003826549 0.0039680954 0.0038627353 0.0039804904 0.003945904 0.003924312 0.0038693328 0.0038863262 0.0039359075 0.0039247116 0.003900121 0.0038631351 0.003939706 0.0039125164 0.0038833274 0.0039229123 0.003860936 0.003865934 0.0039287102 0.0040258733 0.0039071185 0.0038885255 0.003944504 0.0039461036 0.0038989214 0.0038401438 0.0039067185 0.0038821278 0.0039255116 0.0038963226 0.00390272 0.0038423429 0.0039632972 0.0039011207 0.0040782536 0.003942505 0.0038501401 0.003911117 0.0038483406 0.0038595365 0.003924112 0.0038625353 0.0038881255 0.00392891 0.0038889253 0.0038779294 0.0039225128 0.003874131 0.0038747308 0.0039433045 0.003900121 0.0038857264 0.003852739 0.0038573374 0.0039517013 0.0039866883 0.0038967223 0.004274779 0.0038995212 0.0039495025 0.00385054 0.003916515 0.003927311 0.0038467413 0.003866134 0.0038283484 0.003802758 0.0038991214 0.0038463415 0.0038355456 0.0038801287 0.00392971 0.0039035198 0.003874131 0.0038789292 0.0038511397 0.0038517395 0.003852939 0.003852939 0.003847341 0.0038387442 0.0038727315 0.0038697326 0.003833946 0.0038375447 0.0038517395 0.0038493404 0.0038919242 0.0038807285 0.003860736 0.0038349458 0.0039139157 0.0038557379 0.0038647344 0.0038603363 0.0038919242 0.0038707322 0.0038759303 0.0038601363 0.0038979219 0.003900321 0.0038781294 0.003913716 0.0038759303 0.0038937235 0.0039041196 0.0038907246 0.003889325 0.0038557379 0.0038987217 0.0040212753 0.0038929237 0.0038461415 0.004000083 0.0039566997 0.0039291102 0.0038799287 0.0038915244 0.0038147534 0.0038721317 0.003834146 0.0039519016 0.0038767299 0.0038841271 0.003879529 0.0039033198 0.003911117 0.003887326 0.003939706 0.0039043194 0.003916115 0.0038173525 0.0038779294 0.0038903248 0.003925911 0.0038391443 0.0038579372 0.0038601363 0.003920913 0.0038901248 0.0038435424 0.0038689328 0.003900121 0.0038721317 0.0038983217 0.0039031198 0.0038909246 0.0038377447 0.0038177522 0.0038361454 0.0040492644 0.0039674956 0.0038879258 0.003924912 0.00392991 0.0038379447 0.0038631351 0.0038197516 0.0039285105 0.0038753306 0.0038981219 0.003863935 0.003847141 0.0038597365 0.0038813283 0.0038987217 0.003905919 0.003871532 0.0038499401 0.0038771299 0.003934108 0.003907918 0.0038953228 0.004498694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014919427 1.5999385e-06 1.5999385e-06 5.699781e-06 5.4997886e-06 1.5999385e-06 1.5199416e-05 1.0599593e-05 5.399793e-06 1.9999231e-07 4.999808e-07 6.999731e-07 2.9998848e-06 5.9997694e-07 6.999731e-07 2.6998964e-06 0.0002028922 1.9999231e-06 1.1699551e-05 1.9999231e-06 2.2299144e-05 8.699666e-06 0.00010439599 5.5097884e-05 0.0 0.0 0.0 0.0 9.999616e-08 9.999616e-08 1.9999231e-07 9.999616e-08 0.00021979156 3.5998617e-06 3.719857e-05 3.799854e-06 8.499674e-06 5.399793e-06 7.779701e-05 4.0198458e-05 1.9999231e-07 9.999616e-08 4.999808e-07 2.9998847e-07 2.8998886e-06 1.9999231e-07 3.4998657e-06 5.599785e-06 0.0004969809 6.2997583e-06 0.00010189609 5.129803e-05 3.6898582e-05 1.6199378e-05 0.00013309489 7.059729e-05 1.589939e-05 1.5699397e-05 6.6997427e-06 3.6998579e-06 1.8599285e-05 1.5499405e-05 6.399754e-06 2.8198918e-05 0.0002678897 7.2997195e-06 1.6999347e-05 9.699627e-06 3.599862e-05 1.8199302e-05 9.569633e-05 4.7598172e-05 1.29995005e-05 4.8998118e-06 1.9999231e-06 6.099766e-06 1.4099459e-05 1.7299335e-05 2.3099114e-05 3.4498677e-05 0.00035348642 6.4997503e-06 2.2899121e-05 3.7898546e-05 3.6398604e-05 8.399677e-06 4.479828e-05 3.279874e-05 3.929849e-05 3.7598555e-05 5.599785e-06 1.1899543e-05 5.029807e-05 1.3299489e-05 3.2398755e-05 8.5596716e-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 0.0005517788 5.46979e-05 7.159725e-05 6.379755e-05 0.00018659284 0.00013659475 6.649744e-05 0.000104895975 0.0002783893 3.0098845e-05 3.339872e-05 4.6198227e-05 0.00017029347 7.359718e-05 0.0001171955 0.00026708975 0.0009347641 0.0001407946 0.00018269298 0.00019749242 0.00035288645 0.00039128496 0.0002318911 0.00028308912 0.00061067654 6.76974e-05 7.999693e-05 0.00012889504 0.0003751856 0.00016829354 0.0003254875 0.0006486751 0.061883025 0.061791927 0.06175193 0.06198482 0.061853025 0.06195392 0.061759327 0.061829627 0.061878223 0.06172313 0.061632533 0.06196532 0.06180563 0.061869726 0.06173493 0.06172893 23184.0 5.734774 132955.0 0.012929186 0.010123726 0.010386973 0.009898086 0.010221504 0.010138769 0.009627317 0.009890565 0.009499455 0.009913129 0.009935693 0.009792787 0.00998082 0.00980783 0.010168854 0.010206461 0.010266632 0.009965778 0.010417058 0.010732954 0.010168854 0.010386973 0.009717573 0.010251589 0.009905607 0.009732616 0.010131247 0.010680306 0.010657742 0.010266632 0.0105374 0.010236546 0.010417058 0.010108683 0.0104245795 0.010048512 0.010349366 0.010552443 0.010326803 0.010567485 0.010590049 0.010108683 0.009995863 0.009868001 0.010868339 0.0105073145 0.0099733 0.010499793 0.010793125 0.009770223 0.010289196 0.010575007 0.010334324 0.010168854 0.010567485 0.009567147 0.010063555 0.010221504 0.010356887 0.010635178 0.010206461 0.0105374 0.010845775 0.010131247 0.009770223 0.011477567 0.009943214 0.010590049 0.010996202 0.013252604 0.009950736 0.010394494 0.010732954 0.011522695 0.010161333 0.009883043 0.011643037 0.010778083 0.0117332935 0.011582866 0.010552443 0.010191418 0.011507653 0.011236885 0.012327479 0.01126697 0.010153811 0.010236546 0.009732616 0.010958595 0.010672784 0.010003384 0.009913129 0.0102591105 0.009792787 0.009935693 6.5822697 1.0 1.0 0.0 84.0 5001896.0 81920.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 37888.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.11619 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.573129 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.4762306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3664.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37444.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 11264.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13988197 0.008475549 0.0041108 0.0033623828 0.006128962 0.0038776062 0.0019925232 0.0019253732 0.007741783 0.0014834042 0.0016714241 0.0014785206 0.0044917236 0.0013478833 0.0012086997 0.0038202237 0.0060532656 0.0014785206 0.0011659679 0.0008802752 0.0024271668 0.0019473495 0.00075452164 0.0008119044 0.0022672277 0.0007423125 0.000816788 0.00069958076 0.0015896233 0.0005945826 0.00058481534 0.0005567344 0.0038226654 0.00057748985 0.000642198 0.00053475803 0.004092486 0.0012978261 0.0004578408 0.0005530717 0.0011659679 0.0006434189 0.00057504803 0.0009291116 0.0010890507 0.0023075177 0.0006666162 0.00051033986 0.0064695957 0.003171921 0.004068068 0.010507141 0.0042463206 0.002407632 0.0035882508 0.0021439157 0.0046956153 0.0024637938 0.0007044644 0.0014614278 0.0016433432 0.0009620761 0.0004590617 0.00052132807 0.011609621 0.0038739436 0.004833578 0.00870508 0.0038153399 0.0321099 0.0032231992 0.0026713484 0.0033367437 0.0034991247 0.0021585668 0.0023221686 0.0026725694 0.004326901 0.0011439916 0.0015102642 0.0089346105 0.002114614 0.0020279295 0.009621982 0.0031609328 0.013647319 0.0031780256 0.0020669985 0.0018997341 0.006424422 0.002704313 0.0032146529 0.0015444496 0.0045735245 0.0023453657 0.0035552864 0.0056857723 0.00454056 0.0030046566 0.0034197655 0.009387568 0.0062754713 0.0052108387 0.0017300277 0.008027475 0.0043842834 0.0048836353 0.0016128205 0.003760399 0.0018960714 0.0056992024 0.004234112 0.0033562782 0.001914385 0.0061350665 0.004000918 0.010330109 0.0056967605 0.0030156446 0.0013051515 0.0030864575 0.0012465479 0.0005237699 0.00058237347 0.0016311342 0.0024845493 0.0010487606 0.00086318253 0.0051742117 0.0011427706 0.0010743997 0.008943157 0.003080353 0.0031841302 0.0010206797 0.0006104544 0.0026273958 0.014987877 0.0022037404 0.051043756 0.0011806188 0.0108551 0.0008460898 0.0006714998 0.0026212912 0.00043830625 0.00071789435 0.0006373144 0.0011085852 0.00092422793 0.0014919506 0.00056039717 0.0011586425 0.00058115256 0.0004932472 0.0007032435 0.0009437625 0.00047004988 0.0004590617 0.00041388808 0.0008851589 0.0032854655 0.0004602826 0.002517514 0.001405266 0.0008070207 0.0005567344 0.00044685262 0.0010328889 0.00045173627 0.0005030144 0.00048103806 0.00083632255 0.0004444108 0.0007325453 0.00064952346 0.0013075933 0.0006763835 0.0017080514 0.0005298744 0.00086684525 0.00066173257 0.0007032435 0.0015591006 0.0031096546 0.002501642 0.004590617 0.0008131253 0.0009877152 0.0004737126 0.0008424271 0.0007056853 0.011841594 0.0011342242 0.0022574603 0.010215344 0.0043012616 0.001045098 0.0035113336 0.0033245347 0.001846014 0.0017422369 0.00097062247 0.001285617 0.0016604359 0.0008814962 0.0009791688 0.0009303325 0.002837392 0.0011354452 0.0029362857 0.0013356742 0.0017898523 0.00075818435 0.0015835187 0.00086440344 0.0033245347 0.00064586074 0.0010719579 0.0017642132 0.0014772996 0.000709348 0.0005555135 0.00083143887 0.002407632 0.00064952346 0.00086684525 0.000977948 0.0024015277 0.0024003068 0.0005433044 0.00068492984 0.027253127 0.005948268 0.0010792834 0.005823735 0.0064488403 0.0010292261 0.0006714998 0.0007447544 0.007149642 0.00096451794 0.001793515 0.00090713525 0.009020074 0.002142695 0.00404365 0.0025602458 0.009938197 0.003014424 0.0030339584 0.0035662747 0.0146973 0.0039447565 0.0042463206 0.06804735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017536517 0.0 0.0 0.0005109208 0.0002416931 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0133665465 0.0 0.0 0.0071455496 0.004550561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050841216 0.0 0.0 0.005533242 0.0031670975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054396247 3.6712877e-06 1.7744556e-05 6.608318e-05 0.0001468515 7.464951e-05 6.1188125e-06 7.3425754e-06 1.5297031e-05 0.0 0.0 1.8356438e-06 7.954456e-06 3.0594063e-06 4.89505e-06 0.00035366736 0.0060154046 0.00020314458 0.00021048715 0.0005433506 0.0018852062 0.00048155055 0.0024144836 0.0010506001 0.00019213071 9.9124765e-05 9.117031e-05 7.4037634e-05 0.0006626674 0.0003750832 0.0003952753 0.002850143 0.013145045 0.0006326852 0.0009331189 0.0020534736 0.0040739053 0.003560537 0.006873262 0.0031664856 0.0004478971 0.00023251488 0.0003065525 0.00032613272 0.0020546974 0.0010897606 0.0011068932 0.008869219 0.020493738 0.0012855625 0.0012170319 0.0020504142 0.007218975 0.0025270695 0.006602199 0.0032129886 0.0023600261 0.00096187735 0.000963713 0.0013179922 0.004004151 0.0026145687 0.002638432 0.009453566 0.019955896 0.001541329 0.0012347763 0.0022376499 0.009303043 0.0039906898 0.005807977 0.0033628994 0.005735163 0.0013950893 0.0017554874 0.0022749745 0.0038120202 0.0017493685 0.0039919135 0.0095459595 0.07307637 0.009692811 0.007188381 0.009953473 0.041529607 0.03021592 0.021034643 0.013775894 0.050822858 0.0052242423 0.005978692 0.009027084 0.01657525 0.0069840127 0.027094102 0.06029784 0.059496276 0.010001811 0.009003221 0.011524172 0.027764725 0.030219592 0.017447794 0.014425713 0.049190972 0.0058110366 0.0064008897 0.009035039 0.020832721 0.010799704 0.024766507 0.047916424 0.00023067923 4.7114856e-05 8.50515e-05 5.1398027e-05 8.9334666e-05 9.7901e-05 4.283169e-05 6.4859414e-05 0.00013277824 2.8758419e-05 3.304159e-05 2.8758419e-05 8.3215855e-05 5.9352482e-05 7.220199e-05 0.000105855455 5347.0 18.513186 98990.0 0.00472775 0.00011112234 0.00048489746 8.0816244e-05 0.002909385 0.0004949995 0.00011112234 0.00015153046 0.00034346903 0.00035357106 0.0006364279 0.0005051015 0.0004343873 0.012374988 0.000979897 0.00040408122 0.028841296 0.01874937 0.029528236 0.0149409035 0.026184464 0.01637539 0.02631579 0.014082231 0.028629154 0.016395595 0.00071724417 0.00044448936 0.0008283665 0.0004646934 0.000101020305 0.000121224366 0.0011819375 0.0074047884 0.0064248913 0.012597232 0.0061925445 0.014001414 0.0041014245 0.002666936 0.004273159 0.01527427 0.0021315285 0.0034649963 0.00591979 0.0057884636 0.0038488735 0.008000808 0.011203152 0.0022729568 0.0051924437 0.01776947 0.01134458 0.0054348926 0.0051217293 0.003030609 0.0024143853 0.004646934 0.001323366 0.0025962219 0.001010203 0.0024244874 0.0025255077 0.019264571 0.00022224468 0.028043237 0.021668855 0.024800485 0.024446914 0.047479544 0.020668754 0.010334377 0.018345287 0.031568844 0.01651682 0.0078088697 0.023073038 0.011597131 0.043549854 0.03143752 0.017951308 0.0041923425 0.04402465 0.02616426 0.037781592 0.01119305 0.019406 0.006657238 0.014203455 0.0057985657 0.00090918277 0.00025255076 0.00047479544 0.00022224468 0.0002626528 0.0002727548 5.747728 0.0 2.0 14.0 4.0 819062.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.60549 0.0 0.0 0.0 0.0 0.0 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 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.1060363 0.0076342993 0.19579819 0.007722614 0.0023010839 0.0073889815 0.02433065 0.0055441894 0.0032431053 0.0017270395 0.0051565864 0.0038024306 0.0016092868 0.0048818304 0.005882728 0.0023354283 0.0019331067 0.0010205234 0.027097838 0.0015504104 0.0011235569 0.00083898794 0.0023599602 0.0028653154 0.0034982362 0.0007948307 0.0018595112 0.0015209722 0.00057895074 0.0005004489 0.0012511223 0.0006721716 0.0007359543 0.00037778987 0.0036258015 0.0004562917 0.0004661044 0.0009322088 0.0025954656 0.0015455041 0.0005200744 0.00056423165 0.0008684261 0.000677078 0.0012216842 0.0019232939 0.0011726206 0.0009469279 0.002477713 0.005269433 0.004312692 0.0028555028 0.0024973382 0.0025660275 0.0027622818 0.0024335557 0.0026347165 0.0034197343 0.0029143791 0.0027279374 0.0019674513 0.0024973382 0.0031057273 0.0026739673 0.003144978 0.0026052783 0.006260518 0.0014326577 0.002546402 0.0034050152 0.003130259 0.0073546367 0.0011186505 0.007776584 0.001530785 0.0015749423 0.0015013468 0.0014866277 0.0019429193 0.0017564776 0.00295363 0.004454977 0.0055441894 0.0013247178 0.0029192853 0.0027181245 0.002507151 0.004582542 0.001368875 0.0025267764 0.0013835941 0.002139174 0.001938013 0.0011726206 0.001491534 0.0036748652 0.00096655334 0.003046851 0.0018938557 0.0035669252 0.0037975241 0.001776103 0.0049014557 0.007521453 0.0045236656 0.0008978643 0.004646325 0.0032823563 0.003974153 0.0037533669 0.004229284 0.0020410467 0.004930894 0.0037631798 0.00311554 0.00060348253 0.0017662904 0.0014522831 0.009768567 0.004553104 0.0008782388 0.0004955426 0.0015896613 0.0014719086 0.00080954976 0.0007359543 0.0012609351 0.0014326577 0.0011333696 0.005460781 0.019144624 0.0017319458 0.0004661044 0.0009273024 0.0018055412 0.0045040403 0.0008929579 0.021102263 0.0011873397 0.007099506 0.00059857615 0.002330522 0.0016092868 0.0055441894 0.0004513853 0.00031891355 0.0020753911 0.0003728835 0.00072123524 0.00036797716 0.00086351973 0.0009812724 0.00031891355 0.0002698499 0.0007506734 0.0004268535 0.00040722804 0.00031891355 0.0006525462 0.00026494355 0.0004023217 0.0008782388 0.0010744933 0.0015553167 0.00037778987 0.00046119804 0.00069670344 0.00043666622 0.0004415726 0.0004513853 0.00083408155 0.00024041174 0.0005593253 0.000284569 0.00095183426 0.00022569265 0.00047101075 0.00047101075 0.0026494355 0.0002600372 0.0009125834 0.001192246 0.0007752052 0.00030419446 0.0023108965 0.0004268535 0.0027426565 0.0010597742 0.0006427334 0.002399211 0.00084389426 0.000515168 0.001776103 0.005936698 0.007747146 0.0010107106 0.0023108965 0.0018398858 0.002399211 0.00087333244 0.015930958 0.0013590623 0.007884524 0.007855086 0.0012756542 0.00097145967 0.0031498845 0.001084306 0.0025267764 0.0015749423 0.0051026167 0.0013885004 0.0013296241 0.00066726527 0.0012216842 0.0005249807 0.0007752052 0.0014277514 0.0027671882 0.00081936247 0.0011333696 0.0012413096 0.0013639687 0.000907677 0.0012560287 0.00058876345 0.003522768 0.000623108 0.0010793996 0.000799737 0.0016092868 0.0009959915 0.0025267764 0.0033216071 0.014159761 0.0023501473 0.000799737 0.0005396998 0.0025562146 0.0006427334 0.00095183426 0.0007948307 0.0053822794 0.00058385707 0.0010205234 0.0010352423 0.0024679 0.0009223961 0.0011235569 0.0010597742 0.010102199 0.0010254297 0.0072565097 0.030218285 0.0033363262 0.00890014 0.025252525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013883957 0.0010283499 0.0 4.932134e-06 0.0 0.0 0.0 4.932134e-06 0.0 0.0 0.0 0.0 4.932134e-06 0.0 0.0 0.00022441208 0.008626302 0.0010431464 0.0 7.398201e-06 6.411774e-05 8.631234e-05 0.00016522648 9.617661e-05 0.0 0.0 4.932134e-06 2.466067e-06 0.0 2.466067e-06 0.0 2.466067e-06 0.019361092 0.004831025 0.00013070155 3.4524935e-05 0.000110973015 5.671954e-05 0.00021454782 0.00014303188 8.877841e-05 4.4389206e-05 2.9592804e-05 3.6991005e-05 6.411774e-05 2.9592804e-05 2.4660669e-05 5.1787407e-05 0.050953876 0.021171184 0.00017262468 0.00016522648 0.00024167456 0.00021208175 0.00038224037 0.00031812262 0.010271168 4.685527e-05 3.945707e-05 0.00024167456 0.00015536221 4.1923136e-05 8.384627e-05 0.0013612689 0.0089394925 0.000517874 3.6991005e-05 6.658381e-05 0.00019481928 1.9728535e-05 4.932134e-06 4.932134e-06 0.0040616123 7.398201e-06 4.932134e-06 0.00036004576 1.2330334e-05 0.0005277383 1.9728535e-05 0.00037237612 0.02967665 0.0010110874 0.00074721826 0.0005302044 0.0019259983 0.00020961568 4.4389206e-05 0.000101108744 0.00023920849 0.00014303188 3.945707e-05 0.0014303188 0.0042934227 0.0028680358 0.0007768111 0.0014179884 0.031353574 0.00069789693 0.0010924677 0.0024537365 0.0021134194 0.00076448073 0.0038002091 0.0021084873 0.00047841697 0.0002835977 0.00020714963 0.00031072443 0.0017065183 0.0011220605 0.0005228062 0.0014895045 0.028677892 0.0019309304 0.0008409288 0.0014130564 0.0061725653 0.001805161 0.007733586 0.0038199376 0.0021874013 0.00023427636 0.00018002288 0.00019728535 0.0044191917 0.0014673098 0.00027866557 0.0042983545 0.006722498 0.00018742109 9.371054e-05 0.00021454782 0.001435251 0.00069789693 0.00092970725 0.0005228062 9.1244474e-05 2.7126736e-05 3.6991005e-05 4.4389206e-05 0.00213808 0.00054746686 0.00022934422 0.0012330335 0.028751874 0.0022317905 0.0017731021 0.0013119476 0.0045548254 0.0016276041 0.006473426 0.0036349827 0.0006436435 0.0010505446 0.0006041864 0.0010801373 0.0044093276 0.0012749566 0.0027447324 0.0034894848 0.041703656 0.0043969974 0.003353851 0.029121784 0.008170079 0.004868016 0.011220604 0.0076423413 0.004305753 0.0020862927 0.0020912248 0.002616497 0.009102253 0.0023082385 0.004004893 0.004421658 0.0087397415 0.00023427636 0.00030332623 0.00051047583 0.0011837122 0.0021134194 0.002944484 0.0016744594 0.0013390743 0.0003131905 0.00028113162 0.00057705963 0.0013464725 0.00074721826 0.0010480784 0.0018964055 0.03740777 0.0032354798 0.0035215435 0.0037730823 0.007775509 0.01144255 0.008231731 0.0071343314 0.020653311 0.0020493015 0.002212062 0.0046534683 0.015368529 0.0048112967 0.011146623 0.023250079 0.04491201 0.0067151003 0.006256412 0.0072872275 0.013627485 0.018268624 0.012414181 0.011107165 0.03108724 0.002909959 0.0037632182 0.006128176 0.02029573 0.008747139 0.016241517 0.032663055 0.00027619948 0.00029346196 0.00025647096 0.00031072443 0.0006041864 0.00042169745 0.0003057923 0.00032552084 0.00030825837 0.0002835977 0.00028113162 0.000258937 0.00027619948 0.00026633524 0.00031072443 0.00027126737 1184.0 13.450169 15925.0 0.0013814757 0.00075353216 0.0075353216 0.0005651491 0.00069073786 0.0009419152 0.004897959 0.0005651491 0.0024489795 0.0010047096 0.0033908947 0.0010047096 0.00722135 0.00081632653 0.006342229 0.005651491 0.010047096 0.011491366 0.015133438 0.0085400315 0.01010989 0.010612245 0.012935636 0.009481947 0.011805338 0.012370487 0.012433281 0.009858713 0.007598116 0.010235479 0.01199372 0.008351648 0.0024489795 0.011240188 0.0067817895 0.008414443 0.0077864993 0.008414443 0.011805338 0.012684458 0.00144427 0.0033908947 0.006279435 0.010486656 0.0076609105 0.0047095763 0.009167975 0.005651491 0.006279435 0.015510204 0.010675039 0.0052119307 0.004144427 0.008602826 0.014254317 0.0074725277 0.0020722135 0.0033908947 0.005274725 0.0040188385 0.0042072213 0.0031397175 0.0033908947 0.0210989 0.004144427 0.028257458 0.011491366 0.031083202 0.0094191525 0.014631083 0.018021978 0.06436421 0.0024489795 0.005525903 0.010863422 0.026624804 0.0322135 0.029952904 0.030392464 0.01632653 0.036169544 0.03045526 0.0222292 0.0035792778 0.009795918 0.004646782 0.059403453 0.008602826 0.003076923 0.0019466248 0.009670329 0.013626373 0.0005023548 0.0010675039 0.0034536892 0.00069073786 5.9850955 1.0 0.0 0.0 1.0 203817.0 32768.0 0.0 0.0 85.0 0.0 1.0 0.0 0.0 0.0 1542978000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 20480.0 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 -20480.0 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 -5.504549 0.0 2.923397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19668.0 0.0 2180.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 21924.0 2180.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 400.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.20261517 0.004653033 0.003123564 0.0028363396 0.003540039 0.0023983226 0.0022188073 0.003123564 0.0045309626 0.0023624196 0.002261891 0.002175724 0.0028578814 0.0022403493 0.0020895565 0.002355239 0.0026568244 0.0023624196 0.0022188073 0.0021254595 0.0025419348 0.002283433 0.0019603055 0.0020895565 0.0018741384 0.0020177504 0.0019028607 0.0016012753 0.0018454159 0.001787971 0.0018597771 0.0017664293 0.0046099494 0.0017664293 0.0017807904 0.0016874425 0.0021685432 0.004983341 0.0018095128 0.0017377068 0.002391142 0.0018238741 0.0020321116 0.0018023322 0.0019100413 0.0017089844 0.0032958984 0.0015581916 0.0018956801 0.0017089844 0.0017448874 0.0022547105 0.0019244025 0.001752068 0.002060834 0.0017736098 0.0021254595 0.0017951516 0.001881319 0.001716165 0.0018095128 0.0018310547 0.0018238741 0.0018956801 0.011280733 0.0045955884 0.0023480584 0.0027860755 0.0075468174 0.011848001 0.0028794233 0.0053208293 0.0025491153 0.0045740465 0.002154182 0.0021254595 0.0025132124 0.0087890625 0.004294003 0.0020823758 0.0070728976 0.003597484 0.0030732995 0.002628102 0.0024055033 0.0044376147 0.0019459444 0.0020823758 0.0044447957 0.00201057 0.0018884996 0.0020033892 0.0026855469 0.002936868 0.001953125 0.0019100413 0.0020177504 0.0032815372 0.0018669578 0.002649644 0.0032815372 0.0054644416 0.001752068 0.0021900851 0.0048469095 0.0032958984 0.0035184973 0.0018095128 0.0028076172 0.0022906135 0.0031379252 0.002994313 0.0036980123 0.0016156365 0.002922507 0.0025491153 0.0051556756 0.0031092027 0.0021470014 0.009894876 0.002060834 0.001881319 0.0020392924 0.001716165 0.0020895565 0.0021613627 0.0018238741 0.0018023322 0.0061753215 0.0021254595 0.0016515395 0.0033820658 0.002175724 0.024363799 0.0019387638 0.001881319 0.0022762523 0.0048828125 0.002175724 0.011618221 0.0022116269 0.006498449 0.0018884996 0.0019746667 0.0024414062 0.0019674862 0.0019603055 0.0020823758 0.0023480584 0.0020321116 0.0021972656 0.001989028 0.0021039178 0.00201057 0.0018238741 0.0018669578 0.002283433 0.0019315832 0.00201057 0.001644359 0.0020536536 0.0021829044 0.0022977942 0.0022547105 0.0019674862 0.0018669578 0.0021039178 0.0020321116 0.001989028 0.0016802619 0.0019028607 0.0019674862 0.00201057 0.0018095128 0.0015294692 0.0018238741 0.0022331686 0.0016587201 0.0015940947 0.001752068 0.0017233456 0.002592199 0.002699908 0.002649644 0.0026711856 0.0020823758 0.0015653722 0.0017448874 0.0021326402 0.0018382353 0.0020321116 0.0019028607 0.0040570428 0.0019603055 0.002462948 0.0027645335 0.0019244025 0.001881319 0.02640309 0.0033102597 0.0022977942 0.0020033892 0.0019818475 0.0015725528 0.006735409 0.0016874425 0.0018741384 0.0019962087 0.0028004367 0.0024342258 0.0027429918 0.0023767808 0.0024198645 0.0017448874 0.0019244025 0.0016730813 0.0021326402 0.0017305262 0.0016156365 0.0018238741 0.0026209215 0.0015797334 0.0018956801 0.0014863856 0.0022403493 0.0022977942 0.0015725528 0.0016299977 0.003030216 0.0026424632 0.002556296 0.001716165 0.009614833 0.0026137407 0.0019746667 0.0022906135 0.0041360296 0.001787971 0.0018382353 0.0017736098 0.003209731 0.0018597771 0.0019244025 0.0021900851 0.003540039 0.0038990695 0.0039493334 0.0038129021 0.0043586283 0.0038631663 0.0036046645 0.0038344439 0.008099725 0.003504136 0.004925896 0.06356273 0.04427445 0.0 0.0 7.233796e-06 1.4467592e-05 1.0850695e-05 4.340278e-05 2.5318286e-05 1.0850695e-05 0.0 0.0 3.616898e-06 1.0850695e-05 0.0 2.170139e-05 2.170139e-05 0.0069986978 3.616898e-05 1.0850695e-05 1.4467592e-05 1.808449e-05 1.0850695e-05 2.170139e-05 2.170139e-05 0.00016276042 1.808449e-05 2.170139e-05 1.4467592e-05 1.4467592e-05 1.0850695e-05 1.0850695e-05 2.170139e-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 0.013104022 0.00013382523 9.042245e-05 0.000101273145 0.0056966147 0.002090567 0.0001880787 0.000104890045 8.318866e-05 1.4467592e-05 1.4467592e-05 3.616898e-05 3.2552085e-05 0.00012297454 2.8935185e-05 0.0003797743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005895544 5.0636572e-05 6.148727e-05 6.510417e-05 0.00011574074 0.00013020834 0.00017361112 0.000108506945 0.00013020834 7.957176e-05 4.7019676e-05 3.978588e-05 0.0001916956 0.00014467593 7.233796e-06 0.00016637731 0.020659722 0.0005967882 0.00069444446 0.00027850116 0.001349103 0.0006510417 0.0010452835 0.0018337674 0.001135706 9.403935e-05 0.000101273145 0.000101273145 8.318866e-05 4.7019676e-05 0.00031828703 0.00064019096 0.019212963 0.00016999421 0.0017867477 0.00027126737 0.0017939815 0.00088252313 0.0057978877 0.0063331886 9.403935e-05 3.616898e-06 1.4467592e-05 0.00014829282 3.2552085e-05 1.0850695e-05 5.787037e-05 0.000426794 0.015049913 0.00029296876 0.000499132 0.0003616898 0.0013671875 0.00043402778 0.0029911748 0.0061559607 0.00041956018 0.00022424769 0.00011574074 0.00024594908 0.0001880787 0.00015914351 0.00026403356 0.00086082175 0.019585503 0.00086805556 0.0014431423 0.00033275463 0.007353154 0.0029296875 0.0012948496 0.0006727431 0.0018699364 0.000604022 0.0005280671 0.0013563368 0.0011465567 0.00047743056 0.00135272 0.002629485 0.016344763 0.0027416088 0.0024305556 0.0024377895 0.0062644677 0.0029875578 0.0036783854 0.002983941 0.02156033 0.0028175637 0.0024052372 0.0045030382 0.021296296 0.0025318286 0.0024667245 0.05810547 0.011349826 0.0009548611 0.00041956018 0.0006004051 0.0046115452 0.0011827257 0.00067997683 0.0010054976 0.004354745 0.0023582175 0.0015154803 0.0011682581 0.0033854167 0.0009837963 0.0008463542 0.009027778 0.0216182 0.001598669 0.0015661169 0.0007269965 0.007693142 0.0035626446 0.0032479744 0.002170139 0.009132667 0.0014105903 0.001099537 0.0007233796 0.004759838 0.0010561342 0.005787037 0.0079210065 0.023784723 0.0019784432 0.0031901042 0.0009729456 0.012677228 0.006318721 0.0038917824 0.0022171587 0.014080584 0.0024739583 0.001631221 0.001385272 0.00942202 0.0038194444 0.007957176 0.01531033 0.004123264 0.00066912617 0.0010271991 0.00065827544 0.0025643809 0.00078848377 0.001208044 0.001063368 0.0015480324 0.0006546586 0.00052083336 0.0006257234 0.0019784432 0.0010850695 0.0012152778 0.0024920427 0.022323495 0.022978153 0.024052372 0.02337963 0.023918547 0.024410445 0.023173466 0.022254774 0.02313368 0.02216797 0.023676215 0.022728588 0.02281901 0.022674335 0.023687067 0.022992622 475.0 14.227368 6758.0 0.009766203 0.0023675645 0.003255401 0.0017756732 0.0016277005 0.005179047 0.0020716188 0.0025155372 0.0041432376 0.0028114826 0.0028114826 0.0022195915 0.0011837822 0.0029594554 0.007102693 0.003255401 0.0038472922 0.00266351 0.0029594554 0.006066884 0.0031074283 0.0017756732 0.0031074283 0.0020716188 0.0036993194 0.0019236461 0.0036993194 0.0029594554 0.0016277005 0.0028114826 0.0025155372 0.003255401 0.003255401 0.052974254 0.0028114826 0.0075466116 0.10580053 0.006066884 0.008138503 0.059337083 0.004439183 0.050014798 0.003255401 0.00266351 0.0048831017 0.0054749926 0.048831016 0.0038472922 0.050310742 0.0014797277 0.004439183 0.009322285 0.006510802 0.0036993194 0.0038472922 0.003995265 0.04809115 0.0035513465 0.00266351 0.0034033738 0.005179047 0.003255401 0.0016277005 0.007102693 0.0031074283 0.010802013 0.0019236461 0.007102693 0.008138503 0.027374962 0.003995265 0.0059189107 0.0029594554 0.0139094405 0.0038472922 0.0017756732 0.013613495 0.010062149 0.00799053 0.010949985 0.016129032 0.0031074283 0.011097958 0.0068067475 0.01923646 0.0062148566 0.00266351 0.14634508 0.0041432376 0.0050310744 0.0023675645 0.0014797277 0.0028114826 0.0016277005 0.0036993194 0.0028114826 5.2638874 0.0 0.0 0.0 3.0 139264.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1399976800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 49152.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 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 -49152.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.020018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9761837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8010726 0.0 7.4298024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45078.0 0.0 71324.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 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 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 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 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 -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 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 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 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 -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 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 1.0 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 -2.0 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 -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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 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 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 58272.0 71324.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.17183675 0.01113734 0.005422604 0.004571608 0.0109640565 0.004231391 0.004264959 0.0033549923 0.014906037 0.0020567246 0.0020893854 0.0017999742 0.0091795055 0.0017654989 0.0019233596 0.004068994 0.007855835 0.0017074352 0.0012891953 0.0010741781 0.004939042 0.005478853 0.0018172119 0.0012737721 0.004420098 0.0013064329 0.0006296281 0.000832851 0.0034067053 0.0072116912 0.0038920813 0.0022009765 0.009855404 0.001836264 0.00313181 0.0010124855 0.014824385 0.0018408003 0.0019070292 0.0011603665 0.0029049988 0.0039818985 0.0025411935 0.0049326913 0.0019133799 0.0005933383 0.0012148011 0.00048446888 0.0038485336 0.00235793 0.0024831297 0.008431029 0.0036344237 0.0026872598 0.0024559125 0.0026754658 0.004043591 0.0045561846 0.0027589323 0.0056167543 0.0036480324 0.002957619 0.0024649848 0.0031417897 0.005219381 0.0021256753 0.0014089516 0.0027199208 0.006177432 0.010026872 0.004008209 0.0019796088 0.003183523 0.0018734611 0.0012184301 0.0006332571 0.0035790817 0.0054697804 0.0018335423 0.0011485723 0.012443773 0.004191472 0.0018925132 0.0044554807 0.0027489525 0.0034765631 0.006573898 0.0054833894 0.0019487625 0.0023406923 0.00058063684 0.0016366701 0.00220642 0.0025076254 0.004176956 0.002724457 0.0015776992 0.0025121616 0.0009952479 0.0022789997 0.0031363463 0.00611211 0.0024559125 0.00095714355 0.0049444856 0.0024332313 0.0070175407 0.0008056336 0.00324703 0.0012973605 0.0025747616 0.0027743555 0.0026700222 0.00089454366 0.0033078156 0.00235793 0.015959349 0.013059793 0.0027199208 0.001558647 0.032689855 0.0010188363 0.00058063684 0.0005307384 0.0026663933 0.0028115525 0.0018770901 0.00089091464 0.0036852295 0.0017237656 0.0004871906 0.010235539 0.002894112 0.0070402217 0.0012093576 0.0005779151 0.0016638875 0.010490475 0.00073759025 0.03809522 0.0014615718 0.011878559 0.0008410162 0.0005951528 0.0023924052 0.0005352746 0.00053799635 0.0010950448 0.0012946387 0.000644144 0.0005434398 0.00048628336 0.0011358708 0.000503521 0.0004890051 0.00035926906 0.0012039142 0.00069948594 0.0006214629 0.0005978745 0.0012973605 0.0011295201 0.0004871906 0.0007348685 0.0011041173 0.0021537999 0.0004227762 0.00037378498 0.0018299134 0.00054525427 0.0006758976 0.0008165206 0.0011721606 0.0006495875 0.0004127965 0.0006858773 0.002236359 0.0009353697 0.0004264052 0.0004209617 0.0011050245 0.0004935413 0.0007303323 0.0012011925 0.0039982293 0.000603318 0.00056339917 0.0006423295 0.0017482613 0.00053799635 0.0014860674 0.00074394094 0.009034347 0.0020830347 0.0051068827 0.0043330025 0.0025121616 0.00090452336 0.0030292913 0.003402169 0.002887761 0.0023261763 0.0004926341 0.0011313346 0.0015704412 0.0006541237 0.0031191085 0.0015287079 0.0016412063 0.00062781357 0.0007502917 0.0006840628 0.0014026009 0.000503521 0.0010723637 0.0009807319 0.0021365623 0.0008573466 0.00042731242 0.0014715515 0.0017600554 0.0005897093 0.0005216659 0.0006332571 0.002213678 0.00063870056 0.00080381916 0.0005488833 0.002795222 0.00093264796 0.0005053355 0.00062055566 0.020341342 0.0037732322 0.0004853761 0.004183307 0.0058217915 0.00051440793 0.0004309414 0.00047358192 0.0046650544 0.0025421006 0.00055432675 0.0006940425 0.0017809221 0.0008165206 0.0032270707 0.0020775911 0.004382901 0.0018480582 0.0019415044 0.0016530005 0.006944961 0.0017228584 0.002924051 0.0603318 0.013953488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008543786 4.1333577e-05 2.2710756e-06 2.2710756e-06 2.2710756e-06 2.2710756e-06 2.7252906e-06 2.7252906e-06 2.7252906e-06 2.7252906e-06 2.7252906e-06 2.7252906e-06 2.2710756e-06 2.2710756e-06 2.2710756e-06 2.2710756e-06 0.0016460756 7.4491276e-05 1.2718023e-05 2.3619186e-05 7.267442e-06 7.267442e-06 9.084302e-06 1.7260174e-05 1.4534884e-05 5.9047966e-06 6.8132267e-06 1.22638085e-05 5.9047966e-06 4.9963664e-06 6.8132267e-06 5.4505813e-06 0.0031340844 4.3150438e-05 6.858648e-05 1.7260174e-05 2.8615552e-05 1.8168605e-05 0.000110828485 7.131177e-05 6.7678055e-05 1.3626453e-05 1.3172238e-05 2.6798692e-05 1.3626453e-05 2.40734e-05 1.7260174e-05 5.2688953e-05 0.004939135 0.000113099566 0.00014989098 6.722384e-05 5.8139536e-05 3.2703487e-05 8.312137e-05 0.00012990553 0.00013671875 3.3157703e-05 2.40734e-05 2.8615552e-05 3.90625e-05 2.4981831e-05 3.9516715e-05 0.00061228196 0.0034370457 7.22202e-05 0.0001894077 3.9516715e-05 0.00012263808 3.2249274e-05 0.000667242 0.0002788881 5.9047965e-05 1.4080669e-05 8.175872e-06 4.542151e-06 3.997093e-05 6.3590114e-06 2.043968e-05 0.0005895712 0.01630814 0.0003515625 0.0019345022 0.00039153342 0.00046375365 0.00022438227 0.003959393 0.0024309594 0.00027434592 0.00013399345 5.087209e-05 6.813227e-05 9.1751455e-05 3.2703487e-05 8.493823e-05 0.0020362465 0.032465026 0.0010742188 0.004037518 0.00048192224 0.00095067226 0.0005895712 0.0022410974 0.0039761993 0.00081849564 0.0010065407 0.0006218205 0.00041378997 0.00059047964 0.00041787792 0.0005677689 0.004630723 0.013771348 0.0016969477 0.0007639898 0.0005446039 0.0015175327 0.00097292877 0.0038771802 0.0036450764 0.0002879724 0.00038699128 0.0004782885 0.0003397529 0.00042514535 0.00023891716 0.00025390624 0.001497093 0.013509266 0.0020680414 0.0010628634 0.00059865555 0.0026380813 0.0013662791 0.0037150255 0.0040188953 0.00046466207 0.00064498547 0.000546875 0.0003974382 0.000540516 0.00038880814 0.00041061046 0.0011173692 0.020898437 0.0034633903 0.003880814 0.03314226 0.004324128 0.0036582486 0.006046057 0.0061119185 0.0027629905 0.0026798693 0.0029387719 0.0029614826 0.002806141 0.0028025073 0.0028810864 0.0028279433 0.009158794 0.0015765807 0.006226835 0.0010138082 0.0028070493 0.0014307776 0.0033884447 0.00800645 0.00056595204 0.00046738735 0.000954306 0.0014080668 0.00043422965 0.000546875 0.00083166786 0.0011827762 0.023093205 0.006363554 0.008527434 0.0034402253 0.0065043606 0.008009175 0.0045644077 0.013602834 0.013065044 0.0014107921 0.0017278343 0.0029882812 0.005910247 0.0018150436 0.0063353926 0.013572402 0.0959207 0.032419603 0.02729833 0.018051872 0.033218116 0.043094568 0.016475745 0.043365736 0.075193495 0.0063340296 0.0071025616 0.009203306 0.033236284 0.009747002 0.033670057 0.07008721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7594.0 11.417435 86704.0 0.028153257 0.0028487728 0.00937673 0.0014301531 0.015108876 0.0068162945 0.008015778 0.002479701 0.008765455 0.007012364 0.001776158 0.003183244 0.0054899426 0.0011418158 0.007104632 0.0017184905 0.016366027 0.010472412 0.011902565 0.012709909 0.015973888 0.01129129 0.011395091 0.011545027 0.017207973 0.0147052035 0.012952113 0.0136671895 0.015535615 0.012306238 0.010460879 0.01964154 0.01806145 0.012732976 0.0031025098 0.02066802 0.015131943 0.005501476 0.0069777635 0.005455342 0.011937166 0.010853017 0.0018799594 0.0013263518 0.009815003 0.0041751247 0.0021567633 0.0066086915 0.0139670605 0.005916682 0.0067932275 0.013298118 0.009964938 0.005005536 0.013794058 0.013032847 0.006527957 0.0018914929 0.000841945 0.0021106293 0.008903856 0.001799225 0.003183244 0.0052708066 0.00673556 0.019606939 0.005005536 0.014116996 0.013321185 0.04536123 0.005236206 0.0062280865 0.010772282 0.019860676 0.0044403947 0.004371194 0.024624009 0.008580919 0.020425817 0.023136187 0.012732976 0.0010610814 0.026849972 0.014232331 0.04254706 0.008430984 0.0043135267 0.003979055 0.058786213 0.004913268 0.0011879498 0.000865012 0.007439103 0.0009803469 0.0017646245 0.0008534785 6.1010466 0.0 1.0 0.0 4.0 1102238.0 1110016.0 1.0 0.0 588.0 1.0 1.0 0.0 0.0 0.0 1305341000.0 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 8.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 946176.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -946176.0 0.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1251655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.599274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5436354 0.0 3.6176188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79982.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -946106.0 0.0 46840.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -3.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 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 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 -2.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -2.0 0.0 0.0 -1.0 -2.0 1.0 2.0 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 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 -2.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -2.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 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 2.0 -1.0 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 -2.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 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 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -4.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26090.0 924112.0 120.0 912060.0 46840.0 978944.0 0.0 0.0 0.0 0.0 69304.0 1028096.0 28.0 7216.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 105400.0 0.0 0.0 2372.0 4096.0 416.0 906436.0 0.0 0.0