Input: 0.2527764 0.016558282 0.0042458386 0.0028729034 0.011037226 0.0008745743 0.0009674062 0.0010406945 0.0015195118 0.0010260369 0.00070356816 0.0012752173 0.000889232 0.0017686922 0.00150974 0.0014364517 0.001954356 0.0043435562 0.0007817424 0.0009625203 0.001201929 0.0011481842 0.00089900376 0.0007279976 0.0009380909 0.0008257154 0.0009820639 0.0022035365 0.0008843461 0.0023647707 0.0060633896 0.0012703314 0.00186641 0.0008257154 0.0015195118 0.000977178 0.0010846676 0.000664481 0.00069868227 0.0009283191 0.0013924787 0.0020569598 0.0013191903 0.0016221155 0.0013729351 0.0013582774 0.0017882357 0.001333848 0.003996658 0.0013436198 0.0019250406 0.0017442628 0.0019641279 0.0019641279 0.0017051756 0.0011726136 0.0017833499 0.0038500812 0.0016563167 0.0016563167 0.0016709744 0.001421794 0.0016514309 0.0019641279 0.0018859536 0.0016025719 0.0012947608 0.0021058186 0.0016612026 0.0015879143 0.0019006112 0.0015195118 0.00257975 0.0018224369 0.0014022505 0.0013240762 0.0012117007 0.0013729351 0.0019299266 0.0014169081 0.0019641279 0.0015732566 0.0015830284 0.0022865965 0.0023354555 0.001685632 0.0018615241 0.0018028935 0.0013143044 0.0012117007 0.0017051756 0.0017393768 0.0017980075 0.0014364517 0.002042302 0.0015488272 0.002794729 0.002174221 0.0013827069 0.002438059 0.0018566382 0.002540663 0.002218194 0.0015195118 0.0018077793 0.0026774677 0.0017589204 0.0013436198 0.0020618455 0.0016123437 0.0019494701 0.0019445842 0.0026921255 0.0020325303 0.0021058186 0.0023256836 0.0024282874 0.0022035365 0.0016954038 0.0024918038 0.0018273229 0.0021009326 0.0020520738 0.0021253622 0.0014901964 0.0018322087 0.0015292836 0.0017882357 0.0059803296 0.0016514309 0.0013533916 0.0018908394 0.001377821 0.0020765034 0.0015439412 0.001558599 0.0025699781 0.0016758603 0.0013875928 0.00257975 0.0016221155 0.0017980075 0.0015195118 0.0022572812 0.001998329 0.0020081007 0.0020129867 0.0039771143 0.0015781425 0.0018028935 0.0017051756 0.0014755388 0.0014022505 0.001690518 0.0016709744 0.0017051756 0.0015292836 0.0019396984 0.0014950824 0.002540663 0.0018468664 0.0016172297 0.001690518 0.0016660885 0.001778464 0.0018126653 0.0016563167 0.0016025719 0.0018859536 0.0017149474 0.0018370947 0.0020374162 0.0018322087 0.0017686922 0.0020325303 0.0020667315 0.0025260053 0.0016416591 0.0017540345 0.001690518 0.0017540345 0.0017149474 0.0015976861 0.001465767 0.00186641 0.0017980075 0.0018810676 0.0014999682 0.0019641279 0.0020129867 0.0021107045 0.0019641279 0.0036302162 0.0017393768 0.0019738995 0.0017589204 0.0017100616 0.0017540345 0.0017980075 0.0019396984 0.0016270013 0.0017931217 0.0014999682 0.0014999682 0.0019348124 0.0018517523 0.0017442628 0.0018615241 0.0021302481 0.0023745426 0.002535777 0.0020471879 0.0020765034 0.0018859536 0.002755642 0.0020667315 0.0021009326 0.002667696 0.0023745426 0.0026432665 0.0023354555 0.0025846357 0.0024234015 0.0026041793 0.0037083905 0.0026774677 0.0029706212 0.0030732248 0.0036644174 0.0032686605 0.0028533598 0.0034298948 0.0038598531 0.003239345 0.0030536812 0.003693733 0.0030781107 0.0034396665 0.00532562 0.0038500812 0.005794666 0.0032149157 0.003913598 0.0046562534 0.003967343 0.003952685 0.0030976543 0.0038549672 0.004568307 0.0059314705 0.005604116 0.00987927 0.0085698515 0.010729414 0.013954102 0.16429782 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042490335 6.658381e-05 1.7262468e-05 2.2194603e-05 9.864268e-06 1.2330334e-05 1.9728535e-05 3.6991005e-05 8.631234e-05 2.2194603e-05 2.2194603e-05 1.9728535e-05 4.9321337e-05 1.9728535e-05 5.1787407e-05 0.00034524937 0.0038544626 2.2194603e-05 4.9321337e-05 0.00031565657 8.384627e-05 6.658381e-05 0.00036991003 0.00014303188 2.7126736e-05 1.7262468e-05 1.9728535e-05 1.7262468e-05 1.4796402e-05 2.2194603e-05 1.2330334e-05 1.4796402e-05 0.0037286931 7.398201e-05 9.8642675e-05 0.00033045295 5.4253473e-05 4.4389206e-05 0.00020961568 9.8642675e-05 0.00019481928 2.4660669e-05 3.945707e-05 2.7126736e-05 4.1923136e-05 3.205887e-05 3.205887e-05 1.9728535e-05 0.014039319 0.00041923136 0.0004858152 0.00041923136 0.00047595092 0.00033785118 0.00069543085 0.00043649384 0.00016522648 0.00016276042 0.0002540049 0.00013563369 0.00019481928 0.00025153882 0.0003501815 0.0013785315 0.030310428 0.00093463936 0.0012700245 0.0013563368 0.0015536222 0.0013168798 0.0031269728 0.0017509075 0.0006855666 0.00075708254 0.0010012232 0.0011837122 0.0011368569 0.0010850695 0.0016424005 0.016544843 0.018668126 0.0006115846 0.00031565657 0.0010653409 0.0007842093 0.0005450008 0.000922309 0.0007669468 0.0013218118 0.0016473327 0.0016374685 0.0016867898 0.0017114504 0.0027225378 0.00471512 0.02653488 0.02646583 0.00066830416 0.0011072641 0.0019457268 0.0015560882 0.0020320392 0.0029987374 0.0021060212 0.0025252525 0.0026707505 0.0031861584 0.0030850498 0.0027965198 0.0041849157 0.007632477 0.04109947 0.062093098 0.0049691247 0.0034229008 0.0054993294 0.005094894 0.0058470448 0.0068655303 0.007671934 0.0072699655 0.006917318 0.0070948745 0.00722311 0.007403133 0.011134292 0.016749527 0.07716817 0.07931118 0.0080887 0.006409308 0.009879064 0.008475872 0.009013475 0.008120758 0.009324199 0.010382142 0.009777956 0.008214469 0.008273655 0.009048 0.010155263 0.014211943 0.064041294 0.044603754 0.0059900763 0.0051096906 0.0075584953 0.00568675 0.005795257 0.0056053703 0.006828539 0.0068038786 0.006937046 0.0053562974 0.0056916825 0.005560981 0.005999941 0.0076744 0.025363497 0.011163885 0.0049543283 0.0022564512 0.0027200717 0.002498126 0.0026017006 0.0024068814 0.0026781487 0.00235756 0.0016226721 0.0020838266 0.0019235322 0.002172605 0.002101089 0.002249053 0.00471512 0.00082120026 0.0007299558 0.00019975142 0.00021947996 0.00033045295 0.00023427636 0.00022441208 0.00020714963 0.00027373343 0.00017509075 0.00017755682 0.00019975142 0.00019728535 0.00020468356 0.0003131905 0.00054253475 773.0 11.03881 8533.0 0.0065627564 0.0067971405 0.014531817 0.013125513 0.011250439 0.004453299 0.007969061 0.0097269425 0.00902379 0.010312903 0.0124223605 0.0124223605 0.009492558 0.009492558 0.010430095 0.007969061 0.011133247 0.008086253 0.00843783 0.012773937 0.011602016 0.009844135 0.010781671 0.008086253 0.008320638 0.04277511 0.0077346773 0.013008321 0.008086253 0.007500293 0.009140982 0.014297433 0.011133247 0.008086253 0.011719208 0.011602016 0.0118364 0.011016055 0.011484823 0.010195711 0.009492558 0.011016055 0.010430095 0.00902379 0.0069143325 0.010078519 0.010898863 0.0077346773 0.011602016 0.0125395525 0.009844135 0.014531817 0.0067971405 0.011133247 0.011250439 0.009844135 0.0062111802 0.008320638 0.0076174852 0.006093988 0.0071487166 0.007851869 0.008555022 0.010547287 0.010312903 0.015000586 0.0077346773 0.012187976 0.010195711 0.015469355 0.009258174 0.007851869 0.0071487166 0.011719208 0.008906598 0.0070315246 0.01640689 0.010078519 0.010547287 0.010898863 0.010195711 0.00843783 0.012070784 0.010430095 0.014297433 0.010078519 0.007500293 0.023086838 0.010195711 0.00843783 0.0125395525 0.012773937 0.008555022 0.0073831007 0.0069143325 0.0062111802 6.4971533 0.0 0.0 0.0 1.0 204671.0 6139904.0 1.0 1.0 33.0 1.0 1.0 0.0 0.0 0.0 1059592900.0 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 7.0 10.0 4.0 0.0 4.0 0.0 6656.0 512.0 4096.0 3.0 0.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 194560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.016405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8526635 0.0 0.0 5.8952603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5931008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 196608.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 206640.0 60.0 10752.0 194344.0 12288.0 0.0 0.0 0.0 0.0 8.0 10816.0 56.0 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


Input: 0.100352824 0.007168449 0.0045850766 0.0046560783 0.008419173 0.004306531 0.0031595791 0.0032851978 0.004478574 0.0035418966 0.0026188733 0.002845533 0.004462189 0.0033288912 0.002321212 0.0037139393 0.0041809124 0.0028537253 0.002187401 0.0022829804 0.003331622 0.0039269445 0.0022147093 0.0021600926 0.0027718004 0.0026516435 0.002353982 0.0022966345 0.0024140605 0.002624335 0.003399893 0.0024167914 0.004560499 0.003801326 0.0022310945 0.0021082067 0.0050602425 0.0022665954 0.00211913 0.002069975 0.0024113297 0.0022993654 0.0020590515 0.002591565 0.002239287 0.0021655543 0.0020208198 0.00208636 0.0028209554 0.0038504812 0.0020126274 0.0030011907 0.0022174402 0.0028154936 0.0018815472 0.0019143173 0.0024823316 0.0030858465 0.0019880498 0.003044884 0.0022092478 0.002594296 0.0021000141 0.001982588 0.0035391657 0.004227337 0.0023457897 0.004508613 0.007149333 0.004374802 0.002695337 0.0023785597 0.0024031373 0.0029520355 0.0019334331 0.0021764776 0.0024796007 0.0028346095 0.0019716648 0.0019143173 0.0048171976 0.003214196 0.0021082067 0.003885982 0.0026297967 0.0030558074 0.0032606202 0.0026379891 0.0029711514 0.0033889697 0.0018351229 0.0021737467 0.0020781674 0.002744492 0.0026461817 0.002340328 0.003653861 0.00625908 0.003113155 0.0036320142 0.0038668662 0.00413995 0.0033889697 0.0029219964 0.0034053547 0.0035965133 0.0036839 0.002386752 0.0035992442 0.0029383814 0.0033616612 0.003530973 0.0045714225 0.0027472228 0.0034545097 0.002829148 0.0059532262 0.005355173 0.0024659464 0.0026188733 0.0030503457 0.003145925 0.0020290124 0.0021846702 0.0029465738 0.0030749233 0.0025205633 0.0028236862 0.0036456683 0.0034763564 0.002370367 0.0052404776 0.0037576328 0.0038149804 0.0023130195 0.0025970268 0.002523294 0.0045905383 0.002353982 0.007829311 0.0023184812 0.00528144 0.0020481283 0.003348007 0.0027062602 0.0027035293 0.0024085988 0.0023785597 0.0028701103 0.0025833724 0.0023157503 0.002340328 0.0023812905 0.0026352585 0.0022802495 0.0020890909 0.0024277146 0.002340328 0.0021600926 0.0022338252 0.0033097754 0.0048554293 0.0028974188 0.003216927 0.0027690695 0.0027827236 0.005415251 0.0027936469 0.0029520355 0.0027936469 0.002504178 0.0028045704 0.0027636078 0.0026680285 0.0025833724 0.0030885774 0.0033917003 0.0032387734 0.0024440999 0.0024167914 0.0025533333 0.0024987166 0.0025997574 0.0025205633 0.0029738822 0.0026024883 0.0027007984 0.0024249838 0.002878303 0.00257518 0.0025287557 0.002340328 0.004814467 0.0046970407 0.0031650409 0.0041344883 0.003905098 0.0035746666 0.0035965133 0.0041317577 0.004443073 0.003918752 0.0032415043 0.0030366916 0.0037084776 0.0033725845 0.0031431941 0.0032551587 0.0031950802 0.0033015828 0.002558795 0.002624335 0.0029766131 0.0025424098 0.0028127627 0.0025506024 0.003500934 0.0031841567 0.0029984599 0.0030175757 0.0032578893 0.0030148448 0.003009383 0.0029356505 0.0069772904 0.030918544 0.005603679 0.003853212 0.004052563 0.0035937824 0.0068516717 0.0067834007 0.0067697465 0.003752171 0.0034927414 0.004320185 0.004352955 0.0035036649 0.0045168055 0.0048308517 0.0043229163 0.0034599714 0.0032387734 0.003263351 0.003449048 0.0032524278 0.0036948235 0.0037904028 0.0043638786 0.0038340962 0.003246966 0.00417272 0.0050056255 0.005387943 0.0072776824 0.042871423 0.0028089888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051804446 2.6059954e-05 4.1147296e-06 2.6059954e-05 1.7830494e-05 2.6059954e-05 3.0174684e-05 5.2119907e-05 4.2518874e-05 3.4289413e-05 4.9376755e-05 4.2518874e-05 5.4863063e-05 2.6059954e-05 2.8803108e-05 0.002785672 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005450645 9.189563e-05 0.00013167135 9.052405e-05 5.074833e-05 4.2518874e-05 1.9202073e-05 3.977572e-05 3.8404145e-05 2.0573649e-05 1.6458918e-05 3.566099e-05 3.0174684e-05 4.5262026e-05 8.640932e-05 0.0022370412 0.006818107 0.00016596077 0.00014264396 3.154626e-05 0.00017967653 0.000113840855 0.00025237008 0.00016047446 0.000117955584 1.3715766e-05 4.2518874e-05 4.389045e-05 5.2119907e-05 4.6633602e-05 6.309252e-05 0.00018241968 0.00411473 2.8803108e-05 5.623464e-05 3.977572e-05 4.5262026e-05 4.1147297e-05 4.1147297e-05 7.406513e-05 6.0349368e-05 0.0001110977 0.00014264396 9.463878e-05 0.00017830495 0.00010561139 0.00014401553 0.0031491397 0.0072803283 0.00019613544 0.0004142161 0.00053080014 0.00047182234 0.0002098512 0.0007598534 0.00038404143 0.00021945225 0.00020025017 0.00019339229 0.00024139747 0.00030860474 0.00011246928 0.00023179644 0.002290533 0.018572519 0.0005157128 0.0008942679 0.001405866 0.0012508779 0.00074613764 0.0023371663 0.001603373 0.00048142337 0.00017281865 0.0001399008 0.00018241968 0.00024825535 0.00019339229 0.00052394223 0.0016308045 0.006215985 0.00030723316 0.00035386675 0.0004032435 0.00051982753 0.0003511236 0.001127436 0.00068304513 0.00038678458 0.00032369207 0.00035935306 0.0004265603 0.00058292004 0.00058292004 0.0019229503 0.0051159803 0.013367385 0.0005788053 0.0006226958 0.001013595 0.0017885359 0.0012385336 0.0025113567 0.0027513825 0.0008558638 0.00081060175 0.0009559888 0.0011603538 0.0017473885 0.0018283115 0.0062982794 0.010223731 0.009553031 0.0014854174 0.0005719474 0.00072144927 0.0019599828 0.0027527541 0.002814475 0.005059746 0.0013852923 0.001003994 0.0015814278 0.002043649 0.0033343027 0.0028254476 0.004398646 0.009070235 0.005956757 0.0003332931 0.0003113479 0.0014538711 0.0007598534 0.00096833304 0.0010876602 0.0018091095 0.0016801812 0.0008339185 0.0012769378 0.0020477637 0.002769213 0.0025950228 0.0023810568 0.007443546 0.023971044 0.0050679753 0.004581066 0.0036950272 0.008306268 0.006235187 0.0035907873 0.004512487 0.011120742 0.0011219496 0.0040379213 0.0026649733 0.004888299 0.0020162174 0.0040077465 0.008496917 0.017517775 0.0033384173 0.0026485142 0.003967971 0.0065890537 0.0055782017 0.0025744492 0.0053793234 0.011400544 0.0010862886 0.001901005 0.00215749 0.0059348117 0.0025209577 0.005037801 0.009446047 0.035249516 0.032071576 0.031322695 0.026663449 0.027523426 0.02744799 0.039962254 0.029087024 0.029933287 0.033260733 0.039712626 0.031724565 0.04023794 0.034776323 0.0794856 0.043001667 1323.0 9.544973 12628.0 0.018688628 0.005147292 0.003009186 0.003088375 0.00617675 0.0033259424 0.0027716185 0.005543237 0.0049889134 0.0034843206 0.0027716185 0.0026924296 0.0040386445 0.0049889134 0.0049889134 0.0040386445 0.005068103 0.015204308 0.003959455 0.003880266 0.003959455 0.0032467532 0.0056224265 0.003959455 0.005068103 0.005939183 0.0040386445 0.0035635096 0.004751346 0.0026924296 0.0041178335 0.002929997 0.006810263 0.010294584 0.006335128 0.008552423 0.014412417 0.016312955 0.010452962 0.011007286 0.009581882 0.013145391 0.0033259424 0.012907824 0.006335128 0.004672157 0.006255939 0.003801077 0.017104845 0.005226481 0.008394045 0.010769718 0.008552423 0.00878999 0.012670256 0.012274311 0.020114033 0.0072853975 0.005147292 0.005939183 0.004355401 0.008394045 0.009344314 0.005543237 0.017896738 0.026132405 0.010294584 0.028983211 0.021697814 0.039911307 0.007760532 0.013462148 0.009027557 0.023360785 0.004355401 0.005226481 0.017738359 0.008631612 0.015204308 0.018134305 0.05471967 0.0041970224 0.02914159 0.020272411 0.03531834 0.019718086 0.009819449 0.01583782 0.022410516 0.0113240415 0.005226481 0.007602154 0.013937282 0.013699715 0.00617675 0.010928096 6.190604 0.0 0.0 0.0 6.0 366188.0 389120.0 0.0 0.0 107.0 0.0 1.0 0.0 0.0 0.0 1435492700.0 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 -2.0 -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 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 10.0 0.0 5.0 1.0 5.0 1.0 234496.0 1024.0 4096.0 7.0 0.0 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 3584.0 0.0 0.0 52736.0 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 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234496.0 -7680.0 58880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5733914 0.0 0.0 7.609567 0.0 0.0 0.0 0.0 4.0768037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6334553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7279677 -6.070941 5.2141 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3208.0 0.0 0.0 52462.0 0.0 0.0 0.0 0.0 993.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234206.0 -7561.0 58636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 291492.0 58636.0 327680.0 0.0 0.0 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 290352.0 0.0 0.0 464.0 241664.0 0.0 0.0 0.0 0.0


Input: 0.4922347 0.0013498769 0.00074488024 0.00074488024 0.00052281504 0.00032697796 0.00090399786 0.00063647045 0.0003636974 0.00048959267 0.0005140723 0.00017310597 0.0003217323 0.00015212344 0.00015387198 0.00044937612 0.00023780215 0.0003864285 0.0003567032 0.00022731088 0.00014862635 0.00020982542 0.00020982542 0.00023955069 0.0002867614 0.00017485452 0.00018359725 0.000115403986 0.00018010016 0.00018010016 0.00019408851 0.00030249832 0.0013830992 0.0001626147 0.00022206524 0.0001433807 0.00016960889 0.00014163216 0.00016436326 0.00015736907 0.00041090813 0.00011890107 0.00022731088 0.00023255651 0.00021157398 0.0002867614 0.0003094925 0.0001626147 0.0006277277 0.00033397213 0.00011715253 0.00026053324 0.00013988362 0.0001783516 0.00018010016 0.00029200705 0.00036194886 0.00029900123 0.002037055 0.0030809366 0.14539678 0.0012641982 0.00023080797 0.001222233 0.00062073354 0.00016436326 0.00018884288 0.00018010016 0.00022206524 0.00017485452 0.00010141562 0.00014862635 0.00018884288 0.00017135743 8.5678716e-05 0.00012589525 0.0002815158 0.0001853458 0.0001783516 0.0001661118 0.00031823522 0.00016086616 0.00016960889 0.00018709434 0.00022206524 0.0002710245 0.00017485452 0.000108409804 0.00027627015 0.00011365544 0.00010666126 0.00012589525 0.00020457979 0.00015212344 0.00011190689 0.0002552876 0.0009704426 0.0005053296 0.00024479633 0.00034446342 0.0003514576 0.0007850968 0.00016436326 0.00019233997 0.00021332252 0.0005630316 0.00011365544 0.00024129923 0.00041265666 0.0003252294 0.00043538774 0.0005962539 0.0004983354 0.000103164166 0.00044762756 0.00052806066 0.0007081608 0.0002657789 0.00026053324 0.00018709434 0.00016960889 0.00022381378 0.00011190689 0.00021507106 0.00014687779 0.00013288944 9.7918535e-05 0.00035845177 0.00084105023 0.0001503749 9.26729e-05 0.00021856815 0.000103164166 0.00013288944 0.00015562052 0.00013463799 0.00016086616 0.0001503749 4.371363e-05 0.00014163216 0.00019233997 9.26729e-05 0.00016436326 0.0001433807 0.000657453 0.00013114089 7.8684534e-05 8.91758e-05 0.00010491271 0.00011890107 0.00012939234 0.00015911761 0.0001503749 0.000108409804 0.00013813507 7.8684534e-05 0.00013463799 8.5678716e-05 0.0001661118 0.0001503749 0.00022556233 8.742726e-05 0.00012239817 4.5462177e-05 8.742726e-05 0.00013988362 8.742726e-05 9.6169984e-05 0.00016786034 7.693599e-05 0.000103164166 7.8684534e-05 0.00019583707 9.26729e-05 0.00015387198 8.218163e-05 0.0004756043 0.00011890107 0.00018884288 5.9450536e-05 0.00019758561 0.00013638653 7.8684534e-05 0.00011365544 0.000115403986 0.000108409804 0.00013288944 0.0001818487 0.00012239817 0.00012414671 9.442144e-05 0.00014687779 0.00058576267 0.00011890107 0.00016436326 0.00015736907 0.00011715253 0.00015387198 9.6169984e-05 0.00014862635 0.0001276438 0.00011715253 0.00016960889 0.00028501288 0.00015562052 0.0001433807 7.693599e-05 0.00011015835 0.00033746922 8.218163e-05 0.000115403986 0.00014163216 0.000120649616 0.00013638653 0.00019233997 0.0002010827 0.00012414671 7.3438896e-05 0.00026053324 0.000108409804 9.6169984e-05 9.26729e-05 9.092435e-05 0.00025004198 0.00046336447 0.00023255651 0.0003007498 0.00015736907 0.00053855195 0.0023902613 0.0026315604 0.14637597 0.00040391393 0.00025004198 0.00018359725 0.0002517905 0.00013288944 0.00020632833 0.00012414671 0.00018709434 0.00079733663 0.00012589525 0.00012239817 0.00020457979 0.00013463799 0.000120649616 0.00027627015 0.00022905943 0.0003094925 0.0001783516 0.00021507106 0.0001783516 0.00032697796 0.00025004198 0.0005105752 0.14510128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.033991214 0.0 1.4026033e-05 0.0018365337 2.8052065e-05 1.7532541e-06 8.76627e-06 0.0 1.4026033e-05 0.0 0.0 0.0 0.0 0.0 0.0018356569 0.00176728 0.008603218 1.4902659e-05 1.8409168e-05 0.0007565291 1.6655913e-05 8.678607e-05 4.032484e-05 3.155857e-05 8.76627e-06 4.733786e-05 4.383135e-06 1.4902659e-05 7.0130163e-06 1.1396151e-05 0.0006916587 0.0004181511 0.07582561 7.013016e-05 6.925353e-05 0.010152218 3.769496e-05 6.48704e-05 0.00014464346 9.73056e-05 0.0001560396 6.399377e-05 1.4902659e-05 6.0487266e-05 8.76627e-05 5.873401e-05 0.010126796 0.01068959 0.115670055 8.678607e-05 0.00031032597 0.02565975 0.00016129937 0.00014113694 0.00016480588 0.00015428636 9.73056e-05 0.00030681945 8.590945e-05 0.00016305262 0.00011659139 9.905885e-05 0.025603645 0.025075039 0.18268995 0.00032873513 0.0005812037 0.07416615 0.0002401958 0.00020074759 0.0005329892 0.00024808545 0.0002594816 0.00033487153 8.941595e-05 0.00032610525 0.00038659252 0.00036204697 0.07396716 0.07103133 0.069544576 0.0006136389 0.00066711317 0.040283643 0.00039448217 0.0002366893 0.0005347425 0.00044006677 0.00035415732 0.00017357215 0.00010519524 0.00015866949 0.00034100792 0.00039535877 0.040160913 0.037696715 0.0058558686 0.0002989298 0.00069604185 0.0010011081 0.000486528 0.00044182 0.0022415353 0.0012772456 0.00026211148 9.555234e-05 0.0001332473 0.00012623428 0.00011396151 0.00011133163 0.0006776327 0.00054350874 0.0016252665 3.857159e-05 0.00016305262 0.00038746913 5.873401e-05 4.4707976e-05 0.00033311828 0.00019548782 3.9448216e-05 2.016242e-05 2.8052065e-05 2.9805318e-05 2.8052065e-05 2.1039048e-05 0.00031558573 0.00026211148 0.0020407876 0.0003208455 0.00016831238 0.0003857159 0.00023142953 0.00021477362 0.0007048081 0.0003725665 0.00016129937 5.6980756e-05 9.642897e-05 6.837691e-05 5.6980756e-05 5.0844366e-05 0.00024194906 0.00021389699 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000545262 0.00027789077 0.00011834465 9.993548e-05 6.662365e-05 5.52275e-05 0.00010256536 7.538992e-05 0.00011659139 6.224052e-05 4.2954725e-05 4.909111e-05 5.1720996e-05 3.3311826e-05 4.8214486e-05 4.996774e-05 0.0009397442 0.00018935144 0.00016392925 0.0002112671 0.00015077984 0.0001560396 0.00015077984 0.0001753254 0.00017970854 0.00016042274 0.00014990322 0.00016655914 0.00017620203 0.00013500056 0.00023844255 0.0002472088 0.002474718 0.0013517588 0.0012702326 0.0013543888 0.0012877651 0.001297408 0.0011913361 0.001222018 0.0012702326 0.0011650373 0.0010940306 0.0012325376 0.0013622784 0.001149258 0.0013377329 0.001483253 290.0 15.437931 4477.0 0.0531606 0.0024570024 0.008487826 0.0011168193 0.00022336387 0.00089345546 0.00044672773 0.0013401832 0.00044672773 0.00044672773 0.00044672773 0.0017869109 0.0006700916 0.014518651 0.014518651 0.004914005 0.009381282 0.008934555 0.004914005 0.0058074603 0.005360733 0.004243913 0.0037971856 0.0024570024 0.004243913 0.004914005 0.0026803664 0.00044672773 0.011614921 0.0055840965 0.0125083765 0.00044672773 0.0006700916 0.009604646 0.008487826 0.007817735 0.008711191 0.0044672773 0.004243913 0.005360733 0.0026803664 0.008711191 0.0006700916 0.0022336387 0.0024570024 0.0044672773 0.0024570024 0.004690641 0.005360733 0.00089345546 0.006030824 0.011614921 0.0069242795 0.0035738219 0.0017869109 0.004690641 0.0022336387 0.0011168193 0.00022336387 0.0013401832 0.0040205494 0.00044672773 0.0013401832 0.020772839 0.0029037301 0.046236318 0.018092472 0.026356936 0.022336386 0.07929417 0.009604646 0.013625195 0.009157918 0.047576502 0.00044672773 0.008487826 0.03015412 0.0265803 0.03685504 0.043109223 0.020996204 0.0017869109 0.039982133 0.04690641 0.06946616 0.019432656 0.0069242795 0.0073710075 0.006030824 0.011391557 0.0015635471 0.0015635471 0.0 0.0011168193 0.00089345546 0.00044672773 5.524891 1.0 1.0 0.0 3.0 571904.0 598016.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541649200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 420352.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -420352.0 0.0 150528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3979578 0.0 2.805841 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -420048.0 0.0 150472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 428152.0 150472.0 434176.0 0.0 0.0 0.0 0.0 12.0 589824.0 28.0 427840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.11605735 0.0044540465 0.0031818275 0.0035427588 0.0030781557 0.0032061455 0.00314983 0.002950166 0.0032790997 0.0027556212 0.0027863388 0.0029284076 0.0029194483 0.0027300233 0.0030730362 0.0028900106 0.0036054738 0.0030679165 0.0026033134 0.002736423 0.0028260157 0.0028836112 0.002796578 0.002685227 0.00277226 0.0026557893 0.002685227 0.0026941863 0.0026647486 0.0027005856 0.0031242322 0.0028528937 0.003300858 0.0026570691 0.0032087055 0.002682667 0.0028298553 0.0031831074 0.0030397587 0.002618672 0.0027863388 0.0026007537 0.0025777153 0.00264555 0.0026378706 0.0026314713 0.0026929062 0.0025764355 0.00391009 0.0026929062 0.0026660284 0.00302312 0.0028452142 0.0032970184 0.0028567333 0.0027121047 0.0029642447 0.0029668047 0.002671148 0.002910489 0.0027236238 0.0031011938 0.0026545094 0.0028144966 0.0040022423 0.0034864433 0.0034544459 0.0032624612 0.003201026 0.003680988 0.003252222 0.003250942 0.0034429268 0.0034314077 0.0033430946 0.0031523898 0.0032151048 0.0037449829 0.003250942 0.0031562296 0.003971525 0.0030883949 0.0032599012 0.0035568378 0.0034621253 0.0036643492 0.003501802 0.003743703 0.0033200565 0.003579876 0.0032867792 0.00340325 0.002822176 0.0029693644 0.002874652 0.0028669725 0.003098634 0.0034698045 0.0033046978 0.0033610133 0.0032918986 0.003729624 0.003665629 0.003440367 0.0035440389 0.0034838836 0.003842255 0.0032355832 0.0034096495 0.0033686927 0.0034595653 0.003501802 0.003578596 0.0035120412 0.0044297283 0.0037936189 0.0040867156 0.0040495987 0.0035440389 0.003501802 0.003741143 0.0034365272 0.0032957385 0.0032739802 0.0028452142 0.0029168886 0.003314937 0.0032432626 0.004611474 0.0029207282 0.0028836112 0.0035542778 0.003037199 0.0032739802 0.0029949623 0.0031549495 0.0061383927 0.0033187766 0.0027313032 0.005594436 0.0029194483 0.0033674128 0.0033648529 0.0036233924 0.0036259522 0.0030947945 0.0029399267 0.002986003 0.0029898428 0.0030615171 0.0029949623 0.003122952 0.0030256798 0.0036374712 0.0029028095 0.0031587894 0.002961685 0.0030307996 0.0029463263 0.0030691964 0.0031575095 0.0030244 0.0030320794 0.0031984663 0.003062797 0.0031843872 0.0030935146 0.0029808835 0.0029284076 0.002950166 0.0031075934 0.0033021378 0.002986003 0.003047438 0.0031280718 0.00352868 0.0037475426 0.0031536696 0.0031779879 0.00314983 0.0028784915 0.0029872828 0.0029924025 0.0033738122 0.0041519906 0.0032573415 0.002973204 0.0030346392 0.0030013619 0.0030589572 0.003062797 0.0042147054 0.0037718606 0.0036515503 0.003051278 0.0032701404 0.0033955704 0.0030551176 0.0028157765 0.0032074254 0.0031600692 0.0029693644 0.0029808835 0.0030730362 0.0035619573 0.003189507 0.0031805476 0.0031293517 0.0041750288 0.0034800437 0.0031639088 0.0030691964 0.0031677487 0.0031933466 0.003426288 0.0037513822 0.0031421506 0.0033290158 0.0031549495 0.0037193848 0.0032151048 0.0031920667 0.0037897793 0.003631072 0.00378082 0.0031831074 0.0034339675 0.0036400312 0.0032240641 0.003189507 0.0036259522 0.003665629 0.0055637183 0.004903291 0.0034045298 0.0039459267 0.0041430313 0.003989443 0.005405011 0.005077357 0.0042902194 0.0036080338 0.0036630693 0.0038204968 0.0041366317 0.0050619985 0.004448927 0.0042518224 0.0057672225 0.004183988 0.004486044 0.004547479 0.0044617257 0.0049813646 0.0035926749 0.036205765 0.005249344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037229843 2.4990773e-05 5.1263123e-06 3.9088132e-05 2.755393e-05 3.8447342e-06 5.1263123e-06 5.7671014e-06 1.6019727e-05 1.9223671e-06 6.4078904e-07 8.971047e-06 4.4855233e-06 1.9223671e-05 5.7671014e-06 4.549602e-05 0.013107981 6.4078904e-07 5.959338e-05 0.00015443016 0.0 5.959338e-05 0.0 4.10105e-05 0.00013520649 0.0 0.0 0.0 8.971047e-06 0.0001871104 1.9223671e-06 0.0006792364 0.010367966 1.0893414e-05 6.664206e-05 0.00010573019 1.2815781e-06 9.099204e-05 2.050525e-05 0.000103807826 0.00013072096 3.2039452e-06 3.8447342e-05 1.345657e-05 5.7671015e-05 0.00018198408 0.0011848189 0.00074523763 0.025948752 2.691314e-05 0.00040113393 0.00085545337 1.6660515e-05 0.0003960076 2.2427617e-05 0.00013136175 0.00090223097 6.4719694e-05 3.332103e-05 3.1398664e-05 2.3709195e-05 0.0011681584 0.0010784479 0.0017077028 0.0022120038 4.4855235e-05 9.0351255e-05 8.971047e-06 4.2932865e-05 0.00010060388 3.332103e-05 9.099204e-05 3.460261e-05 5.83118e-05 4.8699967e-05 1.9223671e-06 3.9088132e-05 1.9864461e-05 0.00097207696 0.00013841044 0.004735431 0.00015955647 5.318549e-05 0.0001230315 0.00014353674 5.7671015e-05 4.165129e-05 6.792364e-05 9.099204e-05 5.7671015e-05 7.6894685e-05 7.240916e-05 9.483678e-05 7.240916e-05 0.00011790518 0.0005965746 0.0051782164 0.00013008018 0.00013392491 4.165129e-05 0.0001980038 0.0001634012 0.00021850906 0.00034923002 0.0014353675 0.000501097 0.0007676653 0.0010893414 0.000110856505 0.00010060388 0.0014795819 0.0051628374 0.0089005595 0.00011534203 0.00033833663 0.0001992854 0.006937823 0.0052166637 0.0076561477 0.005761334 0.0020357869 0.00060041936 0.000944523 0.0011553427 0.0001698091 2.4349984e-05 0.0011386821 0.0060496894 0.0065712915 0.00012495386 0.00012495386 0.0001980038 9.419599e-05 0.00018390645 0.00027682088 0.0011034388 0.003596749 0.0009893783 0.0009054349 0.0016519541 0.00046264968 0.00050045626 0.0030719426 0.009015261 0.0072678295 0.00036076424 0.00024862614 0.0008528902 0.0007426745 0.0007003824 0.0014654845 0.0018192001 0.0009297849 0.0012905492 0.0012777334 0.0013052872 0.001026544 0.0016423423 0.004249072 0.010253906 0.008219401 0.00026656824 0.00026464587 0.00077279157 0.0006068272 0.0008772402 0.0011072835 0.0011258663 0.0008951823 0.0014693292 0.0012738886 0.0013924346 0.0016013319 0.0027233534 0.002876502 0.008648089 0.0044509205 0.0001634012 0.00019544066 0.00017429462 0.00030565637 0.0005927299 0.0006337404 0.00068500347 0.0011245848 0.0010726808 0.0012950347 0.0015853121 0.0017134699 0.002323501 0.0021633038 0.0064553088 0.006161187 0.0007388298 0.00050494174 0.0006305364 0.0018941724 0.0021927801 0.0016237594 0.0018249672 0.002575972 0.0012719663 0.001436649 0.0016320897 0.0026310799 0.0019800381 0.002670168 0.005663934 0.008958231 0.0021921394 0.0016237594 0.0019550475 0.0031936925 0.0025913508 0.0013860267 0.0028534336 0.0031308953 0.0017410239 0.0013437347 0.0018634145 0.002970698 0.0031815176 0.0027015666 0.005557563 0.041250154 0.041034207 0.040586937 0.040610004 0.04017427 0.040194135 0.040756747 0.04065422 0.040510044 0.040479925 0.04031909 0.04046903 0.04059911 0.040538236 0.04053183 0.04089836 3096.0 12.538759 38820.0 0.005899021 0.0031684698 0.0045337453 0.003760948 0.004301906 0.005229263 0.003426069 0.0041731065 0.005255023 0.0042503863 0.004070067 0.004276146 0.0037351882 0.0036321483 0.0047140648 0.003426069 0.0048171044 0.0051262234 0.004353426 0.0045337453 0.0051777433 0.0041215867 0.0060278205 0.0047398247 0.005306543 0.0051004635 0.004997424 0.004971664 0.005332303 0.004327666 0.004945904 0.004301906 0.005564142 0.015018032 0.014270994 0.015327151 0.013420917 0.015043792 0.015249872 0.013833076 0.015996909 0.01615147 0.016640907 0.014708913 0.014477073 0.01553323 0.01548171 0.014657393 0.016357549 0.013652756 0.014451314 0.01573931 0.014296754 0.01846986 0.014760433 0.015095312 0.013987635 0.014064915 0.014064915 0.0041215867 0.0035806284 0.004070067 0.0038897477 0.004379186 0.004327666 0.01548171 0.0156105105 0.014914992 0.014760433 0.019783616 0.015018032 0.016125709 0.014245234 0.01591963 0.0149922725 0.014013395 0.015558991 0.014966512 0.016512107 0.014940753 0.016383307 0.015352911 0.019732097 0.014554353 0.01888202 0.0149922725 0.014683153 0.015455951 0.014657393 0.014940753 0.013961875 0.008397733 0.0045337453 0.0038897477 0.005255023 0.0047655846 6.36984 0.0 0.0 0.0 18.0 781312.0 860160.0 0.0 0.0 64.0 1.0 1.0 0.0 0.0 0.0 1300474100.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 45056.0 1024.0 4096.0 5.0 1.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 664064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9137616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6815405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.606934 0.0 7.466487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 67040.0 0.0 0.0 -68272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44880.0 0.0 663800.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 47468.0 663800.0 188416.0 0.0 0.0 0.0 0.0 1992.0 856064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 10336.0 0.0 0.0 260.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.12163086 0.014489746 0.0064697266 0.0052978517 0.017785644 0.0039550783 0.003442383 0.0036621094 0.014624024 0.0021972656 0.001953125 0.002746582 0.009606933 0.003527832 0.0014282226 0.006188965 0.012219238 0.0014404297 0.0009399414 0.0010375977 0.0071655274 0.008947754 0.001184082 0.0009765625 0.0052368166 0.0011474609 0.00092773436 0.0010864257 0.0057739257 0.0010864257 0.0006225586 0.0011230469 0.0041625975 0.0007446289 0.00059814454 0.00092773436 0.033154298 0.001574707 0.000390625 0.0004394531 0.0024414062 0.00046386718 0.0006469727 0.0022949218 0.0024047852 0.0013305664 0.0011230469 0.00037841796 0.0019042969 0.00069580076 0.0009399414 0.006787109 0.0020141602 0.00092773436 0.00032958985 0.0005615234 0.0026000976 0.0018310547 0.0008544922 0.004406738 0.00234375 0.0026855469 0.0005493164 0.00047607423 0.006921387 0.004345703 0.021533202 0.00080566405 0.014526367 0.0056396485 0.004248047 0.0020751953 0.0032470704 0.0008544922 0.00057373045 0.00052490237 0.00657959 0.0026245117 0.0021484375 0.0006347656 0.013061523 0.006213379 0.0036987304 0.005834961 0.004345703 0.0045166016 0.0116821285 0.007116699 0.0018432618 0.0019042969 0.00030517578 0.005053711 0.0024902343 0.0049438477 0.0087890625 0.0065429686 0.0010498047 0.0003173828 0.00030517578 0.00047607423 0.0020751953 0.00092773436 0.0037109375 0.00034179687 0.005090332 0.00035400392 0.013830567 0.00024414062 0.0016967773 0.000390625 0.00023193359 0.00034179687 0.0012939454 0.0006713867 0.0016113281 0.0012817383 0.015905762 0.013964844 0.0017944336 0.0011230469 0.001550293 0.00041503907 0.0004394531 0.00037841796 0.0038085938 0.0018798828 0.0019042969 0.0017944336 0.0036987304 0.0043579102 0.0012573242 0.02418213 0.0043823244 0.012561035 0.0006347656 0.0005859375 0.002783203 0.013354492 0.0044921874 0.04938965 0.00091552734 0.01036377 0.0006713867 0.0007446289 0.022216797 0.00023193359 0.001159668 0.001928711 0.0021484375 0.0005493164 0.00030517578 0.00024414062 0.00041503907 0.0004272461 0.00014648438 0.00014648438 0.00045166016 0.00021972656 0.0006469727 0.0001953125 0.0010864257 0.0028930665 0.0003173828 0.0011352539 0.00095214846 0.001171875 0.0020751953 0.0016235352 0.0022949218 0.003930664 0.0002685547 0.00034179687 0.0005493164 0.00013427735 0.00046386718 0.00013427735 0.00047607423 0.00017089843 0.0001953125 0.00021972656 0.0006347656 0.00024414062 0.00024414062 0.0004272461 0.0024536133 0.00083007815 0.000390625 0.0004394531 0.00080566405 0.00048828125 0.0008544922 0.00080566405 0.014355469 0.0043212892 0.004296875 0.009899902 0.011938477 0.00083007815 0.0033081055 0.0052246093 0.0034545898 0.0033203126 0.00069580076 0.00070800784 0.007409668 0.00030517578 0.0016967773 0.000769043 0.0016357421 0.0013549805 0.0016601563 0.0009399414 0.0007324219 0.00070800784 0.0010009765 0.0012451172 0.0024414062 0.00052490237 0.00024414062 0.0012939454 0.0007324219 0.00029296876 0.0002685547 0.00041503907 0.0022705079 0.001208496 0.0006713867 0.00045166016 0.0010131836 0.0006225586 0.0003173828 0.000390625 0.020288086 0.0024902343 0.0004272461 0.0056762695 0.0033691407 0.0010253906 0.000769043 0.000390625 0.004760742 0.0020385743 0.0010375977 0.0013549805 0.0015869141 0.0006225586 0.0035644532 0.0023925782 0.0046142577 0.0015625 0.00070800784 0.0011108399 0.0026855469 0.0009887696 0.0020263672 0.04494629 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0071078916 0.00034612342 0.0005253659 0.00014215783 0.0005253659 0.00046973894 0.00056863134 0.00022868869 0.0005809929 0.0007107892 0.00012979629 0.00012979629 0.0004511966 8.035008e-05 0.00033994264 0.00032140032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04096 0.00876434 0.01051968 0.004709751 0.015161442 0.014042721 0.004456339 0.008090635 0.027609523 0.004870451 0.0019284019 0.001483386 0.012843651 0.0026082871 0.0079732 0.011193384 0.16707872 0.04186857 0.042375397 0.025137214 0.06209207 0.074515425 0.026453719 0.041324664 0.10703867 0.026187945 0.017405063 0.008096816 0.059656844 0.012899278 0.033363827 0.06463237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 326.0 5.92638 1932.0 0.02173913 0.004140787 0.0010351967 0.0015527951 0.10403727 0.00051759835 0.00051759835 0.0 0.007246377 0.0015527951 0.0025879918 0.008799172 0.011904762 0.0025879918 0.0051759835 0.0010351967 0.007246377 0.0010351967 0.0010351967 0.005693582 0.008281574 0.0010351967 0.00051759835 0.0010351967 0.005693582 0.0062111802 0.0025879918 0.004140787 0.0062111802 0.0031055901 0.0010351967 0.0010351967 0.008799172 0.00051759835 0.0062111802 0.0031055901 0.039855074 0.0020703934 0.0036231885 0.0051759835 0.008281574 0.0015527951 0.00051759835 0.00051759835 0.019151138 0.00051759835 0.0020703934 0.0010351967 0.06935818 0.04347826 0.035196688 0.061076604 0.019668737 0.029503105 0.056935817 0.050207037 0.004658385 0.01863354 0.0 0.023291925 0.00931677 0.023809524 0.026397515 0.025362318 0.0015527951 0.004140787 0.00051759835 0.0020703934 0.008281574 0.0015527951 0.0025879918 0.00051759835 0.010351967 0.0025879918 0.07453416 0.0 0.0020703934 0.0010351967 0.0031055901 0.0020703934 0.0015527951 0.0 0.004140787 0.0010351967 0.02173913 0.012939959 0.0 0.00051759835 0.00051759835 0.0 0.00051759835 0.00051759835 0.0077639753 0.0 0.0010351967 0.00051759835 5.186591 0.0 0.0 0.0 1.0 81920.0 196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 904202800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 111104.0 1024.0 4096.0 5.0 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 18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -111104.0 -7680.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5619464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110834.0 -7422.0 13220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 172032.0 13220.0 180224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1192.0 173424.0 0.0 0.0 0.0 0.0


Input: 0.1214594 0.010416369 0.0070544058 0.008061923 0.0073205763 0.005982579 0.0033512448 0.0037835483 0.01209735 0.002207963 0.0020114614 0.0016416812 0.006497056 0.0033047989 0.0015452168 0.008587118 0.0075670965 0.0016166719 0.0012969102 0.0018292508 0.005778932 0.002350873 0.0012308143 0.0011933004 0.0038228484 0.001754223 0.0011825821 0.0012218824 0.0032101208 0.0011790093 0.0010628948 0.0013755109 0.0044713034 0.0010057307 0.0015219939 0.0011450682 0.019053506 0.0024205418 0.0010093035 0.0010861177 0.002193672 0.0013540743 0.0010128762 0.005178709 0.0017149227 0.0011647183 0.0010789722 0.00094678026 0.0038764398 0.0022669134 0.0022043902 0.006270186 0.0027885358 0.004742833 0.0022633406 0.0023044273 0.0032422757 0.0031797525 0.0024151828 0.0049446938 0.002684926 0.0023758826 0.002127576 0.0021722354 0.0043176753 0.0022990683 0.0017899505 0.0019060652 0.010355632 0.02051119 0.003106511 0.013288865 0.0028206906 0.0014523251 0.0014666162 0.0012075914 0.004335539 0.0070758425 0.0015845171 0.0012826193 0.006581016 0.0032190527 0.0013415697 0.0030564924 0.0026884985 0.004448081 0.0033887587 0.0030332694 0.0023419412 0.0044337898 0.0014291023 0.0017703004 0.003683511 0.0049196845 0.0022579816 0.0019328608 0.002084703 0.0016523994 0.0010521766 0.0015219939 0.0039854087 0.0036585017 0.0025223654 0.0011950867 0.006095121 0.005169777 0.005518121 0.0024241146 0.0022954955 0.0012915512 0.0016934861 0.0018917741 0.0024098237 0.000978935 0.0026027525 0.0021650898 0.008331666 0.008276288 0.001673836 0.0016899134 0.0023901735 0.0013612199 0.0010271672 0.0010700403 0.002084703 0.0026098979 0.0017059908 0.0014934118 0.0031190156 0.0017845915 0.0011933004 0.009776846 0.0036388517 0.012610041 0.0012576099 0.0011021951 0.0024991424 0.012099137 0.0015291394 0.029794995 0.0017470774 0.011048746 0.0011182725 0.0011825821 0.0021382943 0.0010146626 0.0010807585 0.0013451425 0.0013915884 0.0017756595 0.00093606196 0.0011325636 0.0018274644 0.0011933004 0.0011021951 0.0010110899 0.0014969846 0.0023723098 0.0009878669 0.0013826564 0.0022311858 0.0022008175 0.0013362106 0.0016988453 0.0015487896 0.0018221054 0.0009574985 0.0010253808 0.0018524738 0.0010093035 0.00094678026 0.0011057679 0.0017006317 0.0010182353 0.0009664304 0.0033691085 0.002032898 0.0011039815 0.0010253808 0.0011272044 0.0018953468 0.0022615544 0.0021811672 0.0017703004 0.0030707833 0.001366579 0.0011164861 0.0011343498 0.0014291023 0.0017774459 0.001271901 0.0011272044 0.007300926 0.0058664647 0.0034494954 0.0034727184 0.0030475606 0.0011004087 0.003494155 0.005616372 0.005334124 0.0030582787 0.0019757338 0.0012969102 0.0032494213 0.0011968731 0.001418384 0.001300483 0.003106511 0.0016845543 0.0017238546 0.0014094521 0.0026688485 0.0012772601 0.0017024181 0.0013201332 0.0029100094 0.0020132477 0.001125418 0.0016077401 0.015068097 0.012836911 0.0040622232 0.0017167091 0.004203347 0.0018578329 0.0012093778 0.0010557492 0.0031333067 0.0014719754 0.0010932632 0.0010664675 0.0136443535 0.0048285793 0.0012218824 0.0038335668 0.005702118 0.0010861177 0.001220096 0.0015827307 0.004667805 0.0014666162 0.0015434304 0.0014505388 0.00319583 0.0022008175 0.0027688856 0.0021168578 0.005903979 0.0018131734 0.0020114614 0.0034316317 0.008174465 0.0040264954 0.008251279 0.067719795 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010579129 0.0004524441 0.00054024515 0.00038972907 0.0015625 0.00050709577 0.0014075043 0.0008323179 0.00047036266 0.00038704128 0.0005079917 0.00080723193 0.00068001 0.0005303899 0.0007731866 0.0015911697 0.0107395 0.0014290066 0.001499785 0.018543936 0.0024539493 0.0018285909 0.0024906823 0.0021063287 0.002028383 0.0015669797 0.0016816586 0.0018438217 0.0019217675 0.0019307268 0.001965668 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058355432 0.015332031 0.021610701 0.010405318 0.03269424 0.020397613 0.013051893 0.013565259 0.037456997 0.003253118 0.0057285693 0.0049939076 0.019471223 0.020557089 0.01653616 0.031361096 0.0138913775 0.010727853 0.010656178 0.0105415 0.010960794 0.010467137 0.010620341 0.010335436 0.011283329 0.01093302 0.010692911 0.010794152 0.010440259 0.010527165 0.0106364675 0.010804007 2005.0 10.400997 20854.0 0.020811355 0.0038361945 0.005466577 0.0037402897 0.013234871 0.0036443847 0.0041718613 0.006569483 0.006233816 0.0033566703 0.004651386 0.0055145295 0.0068092453 0.0045075286 0.005994054 0.004891148 0.024311883 0.017838305 0.017023113 0.018701449 0.019660497 0.019180972 0.016591541 0.018078066 0.019804355 0.018989163 0.018221924 0.018893259 0.017982163 0.015632493 0.015536588 0.014385729 0.007672389 0.008151913 0.0049870526 0.009254819 0.010693392 0.0062817684 0.0070969597 0.007864199 0.008343723 0.005706339 0.0035964323 0.004123909 0.008199866 0.005706339 0.0045075286 0.0069531025 0.013426681 0.0070490073 0.005898149 0.011460631 0.009686391 0.0057542915 0.0077203414 0.009494581 0.005562482 0.005082958 0.004891148 0.004459576 0.0070969597 0.004315719 0.004028004 0.0073367218 0.0076244366 0.01716697 0.008535533 0.0167354 0.016016113 0.035820466 0.007960103 0.008535533 0.011412678 0.017838305 0.008103961 0.0059461016 0.018126018 0.0093507245 0.017406732 0.022201976 0.009446629 0.0035964323 0.023400787 0.0177424 0.032032225 0.011796298 0.0055145295 0.006233816 0.009302772 0.007816247 0.0046034334 0.0039320993 0.0065215304 0.0035964323 0.0034046227 0.0056104343 6.321618 0.0 9.0 0.0 6.0 559792.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 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 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 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 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553808.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.011246247 0.008648335 0.0074576964 0.007542986 0.008109307 0.0056018014 0.0069613126 0.005547216 0.00839929 0.005453398 0.006137418 0.0051395334 0.00744405 0.0049365447 0.0058423174 0.005755322 0.008122953 0.0043855757 0.0052265283 0.0045459196 0.0068384963 0.0036947324 0.0051071234 0.0043429313 0.0065024565 0.0039045443 0.004726733 0.004032478 0.005709266 0.0035139192 0.0042115855 0.004561272 0.007208652 0.0045220386 0.0040120087 0.0040768287 0.0058900793 0.0039898334 0.0041092387 0.003762964 0.005293054 0.0036503822 0.0037919623 0.0043241675 0.005030363 0.0038977212 0.0040393015 0.003571916 0.0060879504 0.003077238 0.0041160616 0.0034951556 0.0048819594 0.0032000546 0.0037322599 0.0035105078 0.0053715203 0.004001774 0.003643559 0.0044469843 0.005079831 0.0030823553 0.0034320415 0.0037731987 0.00679244 0.0052418807 0.0050593615 0.004919487 0.004769378 0.0040205377 0.004765966 0.004568095 0.0057263235 0.0038380185 0.0037424946 0.0037936682 0.004678971 0.0036964384 0.0042712884 0.0036947324 0.006176651 0.0039352486 0.0043855757 0.004614151 0.0037731987 0.0033689274 0.0049126637 0.004472571 0.0047403793 0.002949304 0.0034166893 0.0033109307 0.004105827 0.003044828 0.003530977 0.0040768287 0.005110535 0.0041672355 0.0029919487 0.0028861898 0.0040938864 0.00360262 0.0035122135 0.0027684907 0.004312227 0.0039028383 0.0038363128 0.0028878958 0.004081946 0.0034576282 0.0032699918 0.003283638 0.0052589383 0.002742904 0.004175764 0.0032648745 0.0062244134 0.0054977485 0.0037970797 0.003563387 0.0044503957 0.0030704148 0.0027139056 0.0027872543 0.004032478 0.0029049537 0.0031932315 0.0038158433 0.0064802812 0.0048990175 0.0041962336 0.005183884 0.0049860124 0.00420988 0.003967658 0.0033296943 0.0044469843 0.004902429 0.0038004913 0.005618859 0.0037817275 0.004694323 0.0029851256 0.0025382095 0.004934839 0.0030977074 0.0033348117 0.0027309635 0.003339929 0.0027053766 0.0029032477 0.002678084 0.0031591158 0.0027531385 0.0027053766 0.002359102 0.0031778794 0.0024205104 0.0031864082 0.0030584743 0.004000068 0.0033262828 0.002599618 0.0025791484 0.0037749044 0.0030192412 0.0028998363 0.0025075055 0.0033211655 0.002623499 0.0023966294 0.0022669896 0.0033433407 0.0025535617 0.0025245633 0.0023693368 0.004566389 0.0026661435 0.0022925765 0.0023539846 0.0035957969 0.0026166758 0.0030499455 0.0029663618 0.004064888 0.0027889602 0.003205172 0.0025399155 0.00336381 0.002280636 0.0030977074 0.003437159 0.0059139603 0.0049655433 0.004600505 0.0038107259 0.0035207423 0.0023028112 0.004064888 0.003053357 0.0045220386 0.0030550628 0.0028810727 0.0026405568 0.002790666 0.0022601665 0.002655909 0.002964656 0.004672148 0.0029203056 0.0036145607 0.0027394923 0.0033262828 0.0021868176 0.003172762 0.0026132641 0.003925014 0.002567208 0.0030277702 0.0028861898 0.003229053 0.0024290392 0.0027770197 0.0032000546 0.0049621314 0.0034064548 0.0026849073 0.0023471615 0.003849959 0.0020554722 0.0022925765 0.0023301037 0.0035446233 0.0026217932 0.0024273335 0.004878548 0.002988537 0.0024563319 0.0025808543 0.00234375 0.0051446506 0.0027292576 0.002439274 0.0024102756 0.0031574098 0.00207253 0.0029680678 0.0031574098 0.004095592 0.0022533434 0.0023881004 0.0023898063 0.0031642332 0.0020947054 0.0030158297 0.0060964795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00011031223 0.0 0.0 6.841068e-06 0.00023259633 9.491982e-05 0.00090729666 0.00039934737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027364274 3.5060475e-05 1.6247537e-05 2.650914e-05 0.00019668072 8.8933884e-05 0.00071232626 0.00034290855 1.45372705e-05 1.45372705e-05 1.3682136e-05 1.3682136e-05 0.0 0.0 1.710267e-06 8.551335e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015298339 0.00036343175 9.919549e-05 0.00018385371 0.0002958762 0.00013853163 0.0002984416 0.00021463852 5.301828e-05 4.7032343e-05 1.7102671e-05 5.8149082e-05 4.2756677e-05 5.2163145e-05 2.9929673e-05 7.867229e-05 0.0013134851 0.00038566522 0.00010090576 0.000102616024 0.00020437692 0.00014622783 0.00035060474 0.00023088606 0.00014195217 6.755555e-05 5.558368e-05 9.1499285e-05 7.4396616e-05 7.4396616e-05 6.0714483e-05 0.00010176089 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033649504 0.0021925624 0.0016281742 0.0012476399 0.0010483937 0.0008542784 0.00089617993 0.0008072461 0.0006883825 0.00052847253 0.00055498164 0.00066443876 0.0005737946 0.0006191167 0.0006422053 0.0012023178 0.10309404 0.07661569 0.06948216 0.06349024 0.07156356 0.06356207 0.054393332 0.059167545 0.06927351 0.048007198 0.045582037 0.04817737 0.055454556 0.0486494 0.047153775 0.048312478 4024.0 6.357853 25584.0 0.017002814 0.0087554725 0.00789556 0.008130081 0.012625078 0.008442776 0.0086382115 0.0103580365 0.0128596 0.007739212 0.008560037 0.0086382115 0.01133521 0.009341776 0.01043621 0.008716385 0.015009381 0.006566604 0.0105925575 0.007661038 0.010631645 0.007817386 0.008130081 0.00840369 0.01246873 0.010084428 0.0076219514 0.00941995 0.011804253 0.0071138213 0.0073092557 0.008012821 0.015009381 0.012390557 0.009576297 0.012742339 0.012625078 0.010201689 0.010201689 0.01184334 0.013015947 0.010553471 0.007778299 0.008520951 0.011608818 0.008364603 0.009849906 0.011530644 0.015947467 0.0088727325 0.010631645 0.012390557 0.009888994 0.006762039 0.010748905 0.011647905 0.010827079 0.0068402127 0.007973733 0.006253909 0.009146341 0.006449343 0.008051908 0.010045341 0.012038774 0.016846467 0.007700125 0.010006254 0.013211383 0.024155723 0.00891182 0.008481864 0.010279862 0.017159162 0.0075046904 0.006762039 0.012898686 0.015712945 0.012585991 0.014188555 0.012546904 0.006175735 0.016533772 0.012898686 0.02267042 0.01641651 0.01145247 0.009654472 0.01094434 0.007035647 0.005628518 0.005745779 0.008794559 0.0043777362 0.006175735 0.008090994 6.513693 0.0 0.0 0.0 6.0 586240.0 1318912.0 0.0 192.0 8.0 1.0 1.0 0.0 1.0 0.0 1542035200.0 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 15.0 5.0 1.0 5.0 1.0 581632.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -579072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9249473 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.568531 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581632.0 0.0 0.0 0.0 0.0 0.0 724992.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 3.0 1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 -1.0 0.0 1.0 -3.0 -1.0 -1.0 -1.0 -2.0 0.0 2.0 -3.0 0.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 2.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 -1.0 1.0 1.0 1.0 1.0 1.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 0.0 3.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 1.0 3.0 -2.0 0.0 0.0 0.0 -2.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 -1.0 5020.0 1311752.0 556.0 1311196.0 476.0 1310720.0 0.0 0.0 0.0 0.0 36.0 1316772.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1307916.0 160.0 1307948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0