Input: 0.032133523 0.014253969 0.007259963 0.010637175 0.014345186 0.006528032 0.005913694 0.0055334414 0.009109572 0.004165192 0.0059972173 0.0036915252 0.0056037772 0.003069494 0.0030969689 0.008421601 0.0048817373 0.0029431095 0.0028991497 0.002785953 0.003488211 0.0032167593 0.0036145956 0.0024331757 0.0035387648 0.0024617494 0.0029431095 0.0024386705 0.0029617923 0.0022793163 0.0024639475 0.0029123374 0.011451531 0.003733287 0.003480518 0.0021606248 0.006544517 0.002341959 0.0020122605 0.0020935861 0.0029431095 0.0027606762 0.0025177982 0.0027189143 0.003984957 0.0022408515 0.0029628912 0.0022441484 0.004720185 0.0024057007 0.002568352 0.002557362 0.002560659 0.0021968917 0.0020617151 0.0019067569 0.0026408858 0.0019683007 0.0022309604 0.002091388 0.00355525 0.003518983 0.0021584267 0.003542062 0.008549085 0.0025529661 0.0028376058 0.0029903662 0.0041135396 0.005125714 0.0027507853 0.0023859187 0.002324375 0.0029848712 0.002099081 0.0026870435 0.0035431609 0.0023870177 0.0026123119 0.0026057179 0.009157928 0.0046047904 0.005792804 0.0033761135 0.003750871 0.003493706 0.0038343945 0.0029584954 0.0050476855 0.004304765 0.004471812 0.0022254654 0.0025057092 0.0024024036 0.002334266 0.0022034855 0.0038794533 0.0062104226 0.0025595601 0.006044474 0.007861113 0.012071365 0.00484547 0.0036717432 0.0052828705 0.0062389965 0.0022793163 0.0028683778 0.00563345 0.003025534 0.0064038457 0.008841417 0.0043542194 0.0019639046 0.008102892 0.006043375 0.010077787 0.005541134 0.0029738813 0.0024903233 0.003998145 0.0031068597 0.002070507 0.0020243493 0.0026276978 0.0024298786 0.002118863 0.003770653 0.006548913 0.0021683178 0.0020287454 0.0038398895 0.0047850255 0.009757979 0.0017155317 0.0029442084 0.0040992526 0.005591688 0.0027375973 0.007933647 0.002569451 0.0068972944 0.0020342404 0.0027134195 0.004176182 0.0018265302 0.0018408172 0.0017880653 0.002106774 0.0025287883 0.0028914567 0.001885876 0.00210018 0.0028760708 0.0018836779 0.0017364125 0.002108972 0.001858401 0.002374929 0.0028859617 0.0021859016 0.0019430236 0.0023034941 0.0018551041 0.0020869921 0.0023826219 0.0019375287 0.0020232503 0.0026782516 0.00187049 0.00444104 0.002590332 0.0029002486 0.0019430236 0.0025397781 0.002319979 0.003946492 0.0021760107 0.0020012704 0.002563956 0.0022771182 0.0035673387 0.0019573106 0.0018067482 0.0040596887 0.0022078815 0.002348553 0.0021485358 0.002763973 0.0029749803 0.0026584696 0.0030024552 0.004764145 0.0021837037 0.0022485445 0.0033332529 0.0022309604 0.0019748947 0.0029024465 0.0043091606 0.002596926 0.0019880824 0.002137546 0.0022573364 0.0036695453 0.0018012533 0.0017781744 0.0029562972 0.0022496434 0.0019243407 0.0021650207 0.0019792905 0.0023001973 0.0020507253 0.0021463379 0.0019001629 0.0021628228 0.002108972 0.0019419247 0.0017825704 0.0021738126 0.0018122433 0.0019584096 0.002554065 0.0021815056 0.0020782002 0.0019990725 0.0020474282 0.0022210695 0.0021880995 0.0017550954 0.0030936718 0.004928994 0.0035816256 0.0024562546 0.0024881253 0.0021880995 0.0018463121 0.0022672273 0.002812329 0.0034772211 0.0022947022 0.002112269 0.002784854 0.002101279 0.0019683007 0.0019452217 0.0034552412 0.0033717176 0.0036695453 0.0031903833 0.0031145527 0.0038398895 0.002576045 0.005347711 0.09925466 0.011246983 3.302917e-06 1.7615557e-05 2.2019447e-06 2.2019447e-06 1.1009723e-06 1.1009723e-06 0.00027359164 1.6514585e-06 0.0 1.6514585e-06 0.0002548751 0.0 0.00026918776 0.00023230517 0.04293462 0.0021584562 1.7615557e-05 3.1377713e-05 2.2019447e-06 3.8534035e-06 1.1009723e-06 1.7065071e-05 8.092147e-05 1.3762155e-05 0.0 5.5048616e-07 8.092147e-05 0.0 8.9178764e-05 8.697682e-05 0.009817371 0.0010800539 2.2569933e-05 7.1563204e-06 8.257292e-06 4.9543755e-06 2.2019447e-06 2.7524309e-06 1.59641e-05 5.9452508e-05 2.2019447e-06 4.9543755e-06 2.0367988e-05 1.4863127e-05 1.3762155e-05 2.2019447e-05 0.0021006553 0.0010183995 9.908751e-06 1.2661182e-05 1.6514585e-06 1.10097235e-05 8.257292e-06 2.0367988e-05 9.358265e-06 0.0 2.7524309e-06 9.908751e-06 4.4038893e-06 1.4312641e-05 0.0 2.2019447e-06 2.2019447e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016828363 1.1009723e-06 7.486612e-05 1.3762155e-05 5.670008e-05 4.0185492e-05 0.00024551683 0.0001277128 2.7524309e-06 5.5048616e-07 0.0 1.6514585e-06 5.5048616e-07 5.5048616e-07 4.9543755e-06 1.1009723e-06 0.00085930893 7.706807e-06 1.5413614e-05 1.2661182e-05 2.587285e-05 2.4221392e-05 2.8625282e-05 1.3762155e-05 3.7983547e-05 1.156021e-05 1.2661182e-05 1.8166043e-05 1.7615557e-05 2.0367988e-05 4.9543755e-06 1.6514585e-05 0.0035346719 4.2387437e-05 0.00024496636 3.7983547e-05 0.00013707107 0.000121657446 0.0005620464 0.00036497234 0.00014863127 1.156021e-05 2.0918475e-05 1.9817502e-05 4.293792e-05 9.908751e-06 3.468063e-05 0.0003027674 0.0014554855 4.624084e-05 0.00012881377 5.9452508e-05 3.027674e-05 2.4221392e-05 0.00014312641 0.00011229918 0.00023781003 2.752431e-05 2.8625282e-05 4.734181e-05 8.0370985e-05 1.7065071e-05 4.183695e-05 0.0009016964 0.002673161 0.00010789529 0.00063140766 0.00024551683 0.00033249366 0.0002713897 0.0015496187 0.00087747496 0.00020423038 8.697682e-05 0.0002554256 0.00011009724 6.4406886e-05 3.743306e-05 0.00011835453 0.0014532836 0.0065695024 0.0011312491 0.002991342 0.00092977117 0.002632425 0.0011411578 0.010856689 0.005520826 0.00063581154 0.000558193 0.00016404489 0.00013817204 0.000597828 9.743606e-05 0.00033194319 0.0051624593 0.012960097 0.002467279 0.00459711 0.002471683 0.0040053376 0.00243425 0.013899776 0.008165912 0.0020577174 0.00095124013 0.00073269714 0.00038754227 0.0019371609 0.00019487212 0.0014797068 0.011156153 0.012705221 0.0018964249 0.002874639 0.0018419268 0.0032230967 0.0024006702 0.00825454 0.004956027 0.0024744354 0.000677098 0.0009925266 0.00088353036 0.0011554705 0.00044259088 0.0011295977 0.008207198 0.02219285 0.004727025 0.0054140314 0.004174887 0.0054531163 0.0075548724 0.010264916 0.006783091 0.01220483 0.0021540525 0.002108362 0.0040493766 0.0034906329 0.0015050293 0.0031950218 0.01408529 0.029516518 0.009306519 0.009674795 0.0062766434 0.0090736635 0.016705055 0.012323184 0.009175504 0.021997428 0.0044594887 0.00411048 0.007392479 0.007091363 0.0028228932 0.0064984895 0.021704018 0.029594688 0.028515736 0.029426789 0.026650138 0.027536971 0.03179388 0.029345319 0.027143924 0.028403986 0.027982865 0.029613405 0.029117966 0.028681982 0.027743954 0.02701566 0.026900608 8734.0 11.38894 99471.0 0.07137759 0.0019101044 0.005871058 0.0023524445 0.0029455821 0.0020910618 0.0020810086 0.0014376049 0.007952066 0.007861588 0.0016185621 0.0024730826 0.0028450503 0.002282072 0.009208714 0.0031768053 0.0048154737 0.0027244121 0.002101115 0.0060218554 0.0016688281 0.0019503172 0.001940264 0.0010153713 0.0017593068 0.0014376049 0.0037498367 0.0015079773 0.0027344653 0.0018698918 0.0023524445 0.0057001538 0.005820792 0.006665259 0.0059112706 0.008454725 0.011500839 0.0071277055 0.005287973 0.004845633 0.0032974435 0.009057917 0.0013270199 0.0041620173 0.010214033 0.0044234 0.0052477606 0.0049059526 0.012586583 0.009942597 0.013038976 0.009781745 0.009580682 0.003377869 0.0083743 0.006323451 0.0018196258 0.0041720704 0.004564144 0.0039408472 0.0019302109 0.004051432 0.0033074967 0.0031466458 0.0029154227 0.039267726 0.0050768564 0.021724924 0.01760312 0.0817022 0.016849132 0.01567291 0.014707805 0.03769943 0.0015682963 0.009057917 0.026992792 0.011561158 0.042776287 0.054588776 0.014898815 0.0014074454 0.055342764 0.038121663 0.06025877 0.024851464 0.008062651 0.005800686 0.007097546 0.006715525 0.0029154227 0.0010756904 0.0013169667 0.0010656372 0.0011762222 0.00110585 5.597031 1.0 3.0 0.0 11.0 909922.0 57344.0 0.0 1.0 54.0 0.0 1.0 0.0 0.0 0.0 1079394700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3055797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0095694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.649047 0.0 3.9994364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16062.0 0.0 9384.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 23056.0 120.0 21668.0 9384.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 236.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.028907176 0.018890824 0.017663823 0.015970113 0.015502821 0.014208651 0.014061574 0.013106146 0.013109041 0.012206887 0.012298955 0.011508556 0.011617996 0.010985098 0.011069059 0.010342935 0.010556024 0.009916177 0.010088733 0.009649237 0.009817739 0.009122883 0.009341184 0.00886347 0.009042975 0.008634168 0.00876619 0.00836491 0.008628956 0.008057437 0.008257787 0.0077806525 0.007875616 0.0075218184 0.0077667553 0.0073701083 0.00750271 0.0070991144 0.0073816893 0.0068900785 0.007246192 0.0068929736 0.0069630384 0.0067047835 0.006826383 0.006456951 0.0065687075 0.0063469326 0.006564075 0.0061778505 0.0063758846 0.006045828 0.0061633745 0.005922491 0.005981554 0.0058669024 0.005945653 0.005685661 0.005835634 0.0054916805 0.0057314057 0.005350393 0.0055217906 0.0052982788 0.0054430403 0.0051378827 0.0052722213 0.0050463933 0.0051135626 0.004920161 0.005015704 0.004748763 0.0049520084 0.004758028 0.0048402525 0.0045599937 0.0046897004 0.0045831557 0.004661906 0.004448817 0.0045107747 0.00431332 0.004453449 0.0042345696 0.0044071255 0.00419172 0.0042942115 0.003991949 0.004278577 0.004025534 0.004092703 0.0039548897 0.003994265 0.0038164977 0.0038726653 0.0038049167 0.003895827 0.0036995304 0.003708216 0.003708216 0.0037528025 0.0035987762 0.0036497323 0.00343838 0.0035043915 0.0033329937 0.0035153935 0.0033573136 0.0034325896 0.0033428373 0.0032999879 0.003252506 0.0033283613 0.0031488568 0.0031754929 0.0031332225 0.003090952 0.0029832493 0.0031749138 0.0029959884 0.0030203084 0.002807798 0.002981512 0.0028043238 0.002916659 0.0027840573 0.0027643696 0.0027157296 0.0027875316 0.0026485603 0.002756842 0.002570968 0.0027157296 0.0024991662 0.0026531927 0.0025246441 0.0027632115 0.0024881642 0.002422732 0.0024134673 0.0023752502 0.0023381913 0.0024429986 0.0023335589 0.0023410863 0.0022548083 0.0022687055 0.0022177494 0.0021940086 0.002115837 0.0021801114 0.0021187323 0.0020857267 0.0020226105 0.0021314714 0.0019942373 0.0020590906 0.002001765 0.001989605 0.0018801651 0.0019490717 0.0018500547 0.0018784279 0.0017973614 0.0017886757 0.0017406148 0.0017846223 0.0016977653 0.0017493005 0.0016948701 0.0017023977 0.0016769196 0.0016103293 0.0015593731 0.0016549159 0.0015611103 0.0015182608 0.0014690418 0.001519998 0.0014771485 0.0014887294 0.0013920286 0.0014783066 0.001346863 0.0014429847 0.0013289124 0.0013462839 0.0013300705 0.0013150154 0.0012930116 0.0012802726 0.0012333698 0.0012206307 0.0011760441 0.0011922575 0.0011013472 0.0011192976 0.0010781853 0.0010440215 0.001074711 0.001050391 0.0010225967 0.0010225967 0.0009507949 0.0010266501 0.00092242163 0.0009322654 0.0009351607 0.0009861168 0.00087204453 0.000914894 0.0008396179 0.0008813093 0.0008540941 0.0008454084 0.0007863456 0.00079792656 0.0010579185 0.00076086755 0.00072149234 0.00070759526 0.0006722734 0.00072380854 0.0006960143 0.00066937815 0.0006375306 0.0006143687 0.000592944 0.0006085782 0.0005674659 0.00056225446 0.0005466202 0.00050550787 0.0005141936 0.0005008755 0.0004979803 0.00047076508 0.00044412893 0.0004313899 0.00045223557 0.00032368719 0.00038390805 0.00034916526 0.00033642622 0.00033816334 0.000321371 0.0003016834 0.00029241864 0.00023683016 0.00023509302 0.00029473484 0.00022061684 0.00021077305 0.00020440354 0.00015344741 0.00019340165 0.0041543026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011087027 4.92628e-06 4.056936e-06 3.4773739e-06 5.216061e-06 4.92628e-06 5.505842e-06 3.767155e-06 6.664967e-06 3.767155e-06 5.216061e-06 7.244529e-06 4.6364985e-06 4.6364985e-06 7.53431e-06 6.664967e-06 0.000532328 9.272997e-06 5.795623e-06 1.1591246e-06 6.664967e-06 3.4773739e-06 1.1301465e-05 5.216061e-06 2.028468e-06 2.3182492e-06 2.028468e-06 2.6080304e-06 1.7386869e-06 2.3182492e-06 2.3182492e-06 2.8978116e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048016736 9.562778e-06 1.1301465e-05 8.113872e-06 5.795623e-06 7.53431e-06 7.244529e-06 3.0427022e-05 4.6364985e-06 8.6934347e-07 2.8978116e-06 2.8978116e-06 2.028468e-06 1.7386869e-06 3.4773739e-06 1.4778839e-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 0.0004335126 2.028468e-06 9.272997e-06 6.0854045e-06 5.795623e-06 1.1011684e-05 1.2170809e-05 8.983216e-06 2.3762055e-05 1.5937963e-05 1.7966431e-05 1.39094955e-05 1.5937963e-05 1.24605895e-05 4.3467176e-06 2.8978116e-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 0.0003538228 1.0432122e-05 1.53584e-05 1.1301465e-05 8.113872e-06 1.2750371e-05 1.3619714e-05 3.680221e-05 3.07168e-05 1.1591246e-05 1.2750371e-05 1.0432122e-05 1.1301465e-05 8.403654e-06 1.2750371e-05 3.332483e-05 0.0006247682 1.3329934e-05 2.4341618e-05 1.5937963e-05 1.53584e-05 6.693945e-05 2.2023369e-05 2.260293e-05 0.00013011174 5.3899294e-05 1.4778839e-05 2.0864243e-05 2.8398554e-05 7.273507e-05 2.4341618e-05 3.6512425e-05 0.0008539851 5.302995e-05 4.6364985e-05 4.7234327e-05 4.230805e-05 4.317739e-05 6.14336e-05 4.5785422e-05 0.000118810276 4.8103673e-05 3.8540893e-05 4.0859144e-05 3.9120456e-05 0.00017850519 6.14336e-05 6.172339e-05 0.0007968982 5.1291267e-05 5.6507324e-05 5.5348202e-05 5.216061e-05 5.5348202e-05 6.6359884e-05 5.245039e-05 7.1286166e-05 5.9694918e-05 6.201317e-05 6.230295e-05 6.201317e-05 0.00014431102 6.693945e-05 6.549054e-05 0.21925016 0.14232573 0.110980675 0.091277875 0.07584529 0.06347656 0.053779326 0.045395955 0.037940178 0.031324472 0.025383381 0.019761626 0.014558315 0.010302589 0.0060091917 0.0019435622 0.0002457344 0.00015416357 0.00012547524 0.00010721903 9.765625e-05 8.171829e-05 6.8388355e-05 6.404163e-05 4.8103673e-05 5.013214e-05 3.8251113e-05 3.1006584e-05 2.8688335e-05 2.028468e-05 1.4199277e-05 1.1881028e-05 0.0024422756 0.0022895609 0.0021495966 0.002448361 0.0021220674 0.0024915384 0.0024500997 0.002172779 0.00237041 0.0022912996 0.002125255 0.0023144821 0.0021235163 0.0023730178 0.0024112691 0.0022197238 19450.0 5.858509 113948.0 0.016963879 0.016709376 0.017016534 0.016533857 0.01656896 0.015586057 0.016138941 0.015463194 0.016068732 0.015498297 0.015568505 0.014875206 0.015287675 0.014769895 0.01439253 0.014041493 0.014120476 0.013277986 0.014146804 0.013901078 0.0136553515 0.013242883 0.013286762 0.012707551 0.013260434 0.012575911 0.01312002 0.011812406 0.013155123 0.011750974 0.012119563 0.0118211815 0.011908941 0.011364833 0.011496472 0.010803173 0.010978692 0.010873381 0.010469688 0.010153755 0.010750518 0.010101099 0.010522343 0.010215186 0.010109874 0.009750062 0.010294169 0.009802717 0.009179626 0.009855373 0.00996946 0.009276161 0.0097061815 0.008977779 0.009030435 0.008617966 0.009478007 0.008775933 0.009267385 0.008951452 0.008811037 0.008144066 0.008231825 0.008223049 0.00837224 0.007924668 0.008433672 0.008205498 0.008310809 0.007722821 0.008205498 0.007582406 0.007661389 0.0072840243 0.0076438375 0.0070997295 0.00761751 0.0076438375 0.007363008 0.006968091 0.0072664726 0.006643381 0.006792572 0.0071260575 0.006529294 0.006371327 0.0075209746 0.0062221363 0.00625724 0.006002738 0.0061782566 0.005678029 0.0062221363 0.0061080493 0.005932531 0.0055814935 6.516941 1.0 0.0 0.0 29.0 1726976.0 90112.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1195581200.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 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 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0071106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9874797 0.0 4.9739585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61600.0 0.0 12288.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73.0 86016.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.21281844 0.00454097 0.0033140227 0.0035037568 0.0041994485 0.0029598523 0.0033646184 0.0035543526 0.0035037568 0.0034152141 0.0027321712 0.004072959 0.0033646184 0.0033899161 0.0031622353 0.002972501 0.0044777254 0.0034025651 0.0035796503 0.0027701182 0.0033519694 0.0038326292 0.002567735 0.0025171393 0.0031495863 0.0026942245 0.0024285968 0.0023400541 0.0023147562 0.0024032989 0.002820714 0.002175618 0.0030989905 0.0024032989 0.0044271294 0.0036934908 0.006033545 0.005945002 0.0032001822 0.0026942245 0.0028966076 0.0039717676 0.002820714 0.002593033 0.0024665436 0.0024791926 0.0027701182 0.0022135647 0.004161502 0.003655544 0.0057426193 0.0038579272 0.0034658099 0.0028966076 0.002605682 0.002593033 0.0034278631 0.00298515 0.0026436287 0.0026562777 0.0027321712 0.002580384 0.0027701182 0.0037314377 0.012585697 0.0031748842 0.0028713096 0.003023097 0.0046674595 0.003212831 0.0035037568 0.0029472033 0.002972501 0.0026942245 0.0022768094 0.0022515114 0.0035670015 0.0027574692 0.0026942245 0.0025044903 0.004503023 0.002820714 0.003238129 0.0026815755 0.0033393204 0.0026183308 0.0031622353 0.0033266717 0.002972501 0.003212831 0.0024032989 0.0021123732 0.0025044903 0.0023400541 0.0025297883 0.0026942245 0.003212831 0.0030610438 0.002808065 0.0024665436 0.0037567355 0.0042500445 0.0040097144 0.0028966076 0.0031116395 0.0034278631 0.004136204 0.0023653521 0.0032887247 0.002846012 0.0033899161 0.0027574692 0.0039717676 0.002593033 0.0033393204 0.002567735 0.004692757 0.0031622353 0.0026815755 0.007614663 0.0028966076 0.002605682 0.0023527031 0.0022641604 0.0024159478 0.0022768094 0.0024791926 0.00215032 0.008575982 0.0025044903 0.0027195225 0.003010448 0.0022894584 0.0026562777 0.0024412456 0.0024538946 0.0040097144 0.0035543526 0.0025297883 0.00513547 0.0027448202 0.0038452782 0.0027321712 0.0024032989 0.00920843 0.0027321712 0.0023653521 0.0026436287 0.002795416 0.0024032989 0.002175618 0.0022262137 0.009537302 0.002846012 0.0024918413 0.002808065 0.0029472033 0.0029472033 0.0023653521 0.0022262137 0.002808065 0.002795416 0.0024159478 0.004351236 0.0029345544 0.0024918413 0.0022262137 0.002555086 0.0024032989 0.0026436287 0.0022515114 0.0025297883 0.0027574692 0.0024791926 0.0022262137 0.0024791926 0.003250778 0.0027321712 0.0024665436 0.0023906499 0.0027701182 0.0024665436 0.0025044903 0.0026309798 0.0031369375 0.0026436287 0.0023021074 0.002567735 0.0027195225 0.00215032 0.0023906499 0.0026942245 0.0035796503 0.0024285968 0.0031495863 0.0033772674 0.0027068735 0.0024918413 0.002833363 0.0033266717 0.0027195225 0.002605682 0.0026436287 0.0024285968 0.0051481193 0.0024538946 0.0024285968 0.0027827672 0.0026815755 0.0023527031 0.0025044903 0.0026815755 0.0023400541 0.0020617775 0.0024918413 0.0025171393 0.0027321712 0.0026815755 0.0026183308 0.0023653521 0.0023021074 0.0023274051 0.0022768094 0.0022515114 0.0024032989 0.0033266717 0.004123555 0.0023653521 0.0027448202 0.0025424373 0.002580384 0.0024918413 0.003883225 0.0031242885 0.003212831 0.0026815755 0.003870576 0.0024032989 0.002567735 0.002567735 0.00298515 0.0026436287 0.0027827672 0.0027068735 0.0029345544 0.002162969 0.0026689267 0.0026309798 0.0025171393 0.002808065 0.002808065 0.0026309798 0.0024665436 0.0024918413 0.0027574692 0.010410079 0.05263158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012046413 3.2123768e-05 0.00021201686 0.00032766242 5.1398027e-05 5.782278e-05 0.00013491981 5.1398027e-05 9.63713e-05 6.4247533e-06 0.0 6.4247533e-06 1.2849507e-05 0.0 1.927426e-05 0.00010279605 0.023096988 0.00011564556 0.00016704359 0.00023129112 0.00034693666 0.00028268914 0.0010536596 0.0005139803 0.00014776933 2.5699013e-05 2.5699013e-05 5.1398027e-05 0.00014134457 3.854852e-05 3.854852e-05 3.854852e-05 0.010999178 0.00033408718 0.00033408718 5.1398027e-05 0.00025699014 0.00011564556 0.00044973273 0.00035978618 2.5699013e-05 1.927426e-05 5.1398027e-05 2.5699013e-05 4.4973272e-05 3.854852e-05 1.927426e-05 3.2123768e-05 0.009919819 1.2849507e-05 1.927426e-05 0.00027626439 0.00015419407 1.2849507e-05 5.1398027e-05 0.0017732319 0.00023771587 6.4247533e-06 6.4247533e-06 4.4973272e-05 4.4973272e-05 0.0 1.2849507e-05 0.00058465253 0.009425113 0.0007452714 7.709704e-05 0.00010279605 0.00047543173 0.00011564556 0.000109220804 8.3521794e-05 0.0013427734 7.0672286e-05 0.000109220804 0.00011564556 7.0672286e-05 7.709704e-05 0.00011564556 0.00012207031 0.02699039 0.00021844161 0.0010343853 0.0017282587 0.0012656763 0.00042403373 0.00037906045 0.0017154091 0.0008030942 0.0005139803 0.00022486637 0.00048828125 0.0013491982 0.00012207031 0.00065532484 0.001561215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021008944 0.0005782278 0.00095086347 0.0009701378 0.0017732319 0.0010086863 0.0028011925 0.004548725 0.0013813219 0.0012528269 0.00012207031 0.00030196342 0.0006489001 0.00015419407 0.0006360506 0.0013363487 0.019929584 0.0019210012 0.0032766243 0.0012335526 0.0046900697 0.00058465253 0.00055895356 0.0004561575 0.0018824528 0.0007388466 0.00059750205 0.00054610404 0.0009187397 0.00034693666 0.00046900698 0.0013234991 0.011211194 0.0019467003 0.0011885794 0.000494706 0.0026662727 0.0007002981 0.0018053557 0.001066509 0.0028782894 0.00023771587 0.00027626439 0.00036621094 0.00024414062 0.00025056538 0.0003983347 0.00058465253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018349096 0.0019980983 0.004574424 0.0051655015 0.0065982216 0.0029232628 0.0027497944 0.0018760279 0.0041311164 0.0030132092 0.0013363487 0.0013941715 0.003726357 0.0012335526 0.0017475329 0.004972759 0.008866159 0.0014198705 0.0028718647 0.001927426 0.0036428352 0.0029296875 0.0018117804 0.00066817435 0.0036749588 0.004317434 0.00026983963 0.00029553866 0.0024542557 0.0007709704 0.0011821546 0.002370734 0.0390625 0.037552685 0.039120324 0.04004549 0.03606214 0.037314966 0.03940301 0.037057977 0.03734709 0.044343647 0.039460834 0.038509972 0.037758276 0.036338404 0.04141396 0.03762978 358.0 7.8100557 2796.0 0.006795422 0.0042918455 0.005364807 0.003218884 0.017525036 0.005722461 0.0046494994 0.003218884 0.0028612304 0.0042918455 0.0028612304 0.0025035765 0.006437768 0.0042918455 0.01609442 0.0025035765 0.0071530757 0.0046494994 0.022889843 0.010729614 0.005722461 0.009656653 0.0071530757 0.005722461 0.008583691 0.007868383 0.005364807 0.003218884 0.0039341915 0.0028612304 0.0046494994 0.0021459227 0.014663805 0.01037196 0.010014306 0.01037196 0.018597998 0.009298999 0.01323319 0.013590844 0.007868383 0.008226037 0.0035765378 0.0071530757 0.006795422 0.007868383 0.0060801143 0.0035765378 0.014306151 0.0060801143 0.008583691 0.011444922 0.009656653 0.0039341915 0.0075107296 0.0060801143 0.006437768 0.0060801143 0.005007153 0.005007153 0.0035765378 0.005364807 0.005007153 0.015379113 0.009298999 0.023605151 0.008941345 0.0125178825 0.021816881 0.049356222 0.015021459 0.011087268 0.005722461 0.020386266 0.0046494994 0.0042918455 0.01609442 0.0125178825 0.019670958 0.016452074 0.027181689 0.005007153 0.022889843 0.011444922 0.045779686 0.0125178825 0.006437768 0.094420604 0.014306151 0.005007153 0.0042918455 0.0042918455 0.007868383 0.005007153 0.0035765378 0.0028612304 6.068177 0.0 0.0 0.0 3.0 79058.0 28672.0 0.0 0.0 52.0 0.0 1.0 0.0 0.0 0.0 1434043100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 8192.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1223154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.188929 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8480587 0.0 3.7275002 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5438.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6896.0 0.0 2480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -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 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 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 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 1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 15640.0 2480.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1008.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.20162037 0.008564815 0.0094907405 0.005787037 0.006712963 0.0034722222 0.0027777778 0.009259259 0.008101852 0.0018518518 0.0016203703 0.0046296297 0.0129629625 0.0013888889 0.0016203703 0.015740741 0.014351852 0.00046296295 0.0018518518 0.00046296295 0.0055555557 0.00023148148 0.00069444446 0.00069444446 0.008101852 0.00046296295 0.00069444446 0.0011574074 0.0025462962 0.00023148148 0.0009259259 0.0016203703 0.0050925924 0.0009259259 0.0 0.0013888889 0.034722224 0.0009259259 0.00046296295 0.00046296295 0.004398148 0.00069444446 0.00023148148 0.0016203703 0.0032407406 0.00023148148 0.0011574074 0.0 0.0060185185 0.00023148148 0.0020833334 0.010879629 0.0013888889 0.00023148148 0.00023148148 0.00023148148 0.0013888889 0.0013888889 0.0013888889 0.004166667 0.0023148148 0.00023148148 0.00046296295 0.0 0.0039351853 0.00069444446 0.0016203703 0.0011574074 0.015740741 0.014583333 0.008101852 0.004398148 0.004398148 0.00069444446 0.00069444446 0.00069444446 0.00625 0.0018518518 0.00069444446 0.0011574074 0.016435185 0.00625 0.0027777778 0.0060185185 0.0034722222 0.007638889 0.0074074073 0.008796296 0.0027777778 0.0064814813 0.00046296295 0.0030092592 0.0050925924 0.0034722222 0.0074074073 0.005324074 0.0016203703 0.00069444446 0.0 0.00023148148 0.0009259259 0.0009259259 0.0027777778 0.00046296295 0.004166667 0.00046296295 0.0074074073 0.0 0.0027777778 0.00023148148 0.0009259259 0.0011574074 0.00069444446 0.00023148148 0.0020833334 0.00046296295 0.013657408 0.009722223 0.0016203703 0.0013888889 0.005324074 0.0020833334 0.0 0.00069444446 0.0027777778 0.00069444446 0.0020833334 0.00046296295 0.009953704 0.00046296295 0.00023148148 0.019444445 0.0020833334 0.012037037 0.00046296295 0.0 0.006712963 0.012268518 0.0032407406 0.044675928 0.00069444446 0.013194445 0.0 0.0011574074 0.00046296295 0.00069444446 0.0 0.00023148148 0.0 0.00023148148 0.00023148148 0.00023148148 0.00023148148 0.00023148148 0.0 0.0020833334 0.0 0.0 0.00023148148 0.0 0.0011574074 0.00046296295 0.0 0.00046296295 0.00046296295 0.00023148148 0.00023148148 0.0 0.00023148148 0.0 0.00046296295 0.0 0.00023148148 0.00023148148 0.00046296295 0.00023148148 0.00023148148 0.0 0.00023148148 0.00046296295 0.0 0.00023148148 0.004398148 0.0025462962 0.0069444445 0.0011574074 0.00046296295 0.00023148148 0.00046296295 0.0 0.00046296295 0.0 0.015509259 0.0064814813 0.0009259259 0.009027778 0.0094907405 0.0 0.0064814813 0.0048611113 0.0027777778 0.004166667 0.0027777778 0.0030092592 0.0025462962 0.0016203703 0.0011574074 0.0018518518 0.0020833334 0.0009259259 0.0025462962 0.0009259259 0.00046296295 0.004166667 0.0027777778 0.0020833334 0.0013888889 0.0009259259 0.0009259259 0.0027777778 0.00069444446 0.00023148148 0.00023148148 0.00023148148 0.0020833334 0.0020833334 0.0009259259 0.00023148148 0.00023148148 0.00046296295 0.00023148148 0.0011574074 0.018287037 0.0027777778 0.00023148148 0.006712963 0.00625 0.00069444446 0.00023148148 0.00023148148 0.0027777778 0.0011574074 0.0013888889 0.0018518518 0.0037037036 0.00023148148 0.0027777778 0.0016203703 0.0034722222 0.0011574074 0.0023148148 0.00069444446 0.0034722222 0.00069444446 0.0032407406 0.024305556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.13492839 0.0133463545 0.014811198 0.007975261 0.018229166 0.026204428 0.005859375 0.015950521 0.03873698 0.0009765625 0.0013020834 0.0040690103 0.018066406 0.0076497397 0.012532552 0.0126953125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12597656 0.030436197 0.041666668 0.024739584 0.05501302 0.072265625 0.017252604 0.029947916 0.09781901 0.0006510417 0.0017903646 0.014811198 0.061523438 0.017252604 0.03434245 0.041178387 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 6.5 104.0 0.01923077 0.0 0.0 0.009615385 0.09615385 0.0 0.0 0.0 0.01923077 0.0 0.009615385 0.009615385 0.0 0.0 0.028846154 0.0 0.07692308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009615385 0.0 0.009615385 0.0 0.0 0.0 0.0 0.0 0.0 0.009615385 0.0 0.01923077 0.009615385 0.009615385 0.0 0.03846154 0.0 0.0 0.0 0.009615385 0.0 0.0 0.0 0.01923077 0.009615385 0.0 0.01923077 0.01923077 0.01923077 0.01923077 0.01923077 0.0 0.07692308 0.0 0.01923077 0.009615385 0.01923077 0.028846154 0.01923077 0.009615385 0.01923077 0.0 0.009615385 0.009615385 0.01923077 0.0 0.0 0.01923077 0.0 0.0 0.0 0.03846154 0.0 0.0 0.009615385 0.009615385 0.0 0.01923077 0.0 0.07692308 0.028846154 0.0 0.0 0.01923077 0.0 0.0 0.0 0.01923077 0.0 0.009615385 0.0 5.051556 0.0 0.0 0.0 1.0 4320.0 4320.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 0.0 0.0 0.0 0.0 3552.0 576.0 0.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -64.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6406918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.025479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.561321 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3534.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 4256.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056904238 0.008319437 0.0061797965 0.00566516 0.005764968 0.0049665016 0.0042023445 0.0054260357 0.005051755 0.0056381286 0.0037490488 0.00446954 0.0049550654 0.003168913 0.004323986 0.0046442044 0.005044477 0.0037698422 0.0049384306 0.0041586785 0.0043593347 0.0031741115 0.0041077347 0.0038436586 0.0050746277 0.0033435775 0.0031585163 0.0029245906 0.0041545196 0.0034381875 0.0037864768 0.0037906354 0.0061797965 0.0038197462 0.0034860123 0.003018161 0.004899963 0.0041628373 0.0038405396 0.003719938 0.004729457 0.0038914834 0.003332141 0.0030961363 0.0043707713 0.0037251364 0.0037251364 0.0035764636 0.0055206455 0.003945546 0.0031034139 0.0028975592 0.0036741926 0.0030722239 0.002687546 0.0028611708 0.0041742735 0.003313427 0.0035224007 0.0033498155 0.004004807 0.0032156983 0.003502647 0.0034537825 0.006611259 0.0039476254 0.0036211694 0.0032208965 0.0041565993 0.0032208965 0.0035390353 0.0030597476 0.005000811 0.0037791992 0.0037064222 0.003581662 0.0041285283 0.0031231677 0.0035608686 0.0034631395 0.0051713167 0.003622209 0.0036471612 0.003332141 0.003930991 0.003376847 0.0033622915 0.0035327973 0.0046504424 0.0036419628 0.0038062306 0.0035078453 0.0041108537 0.0033820453 0.0036835496 0.0037833578 0.0059146807 0.003625328 0.0033373395 0.0029526618 0.004008966 0.003046232 0.0032624833 0.0030285576 0.004985216 0.0031616352 0.0031959445 0.003049351 0.003572305 0.0028299808 0.0030795014 0.003190746 0.004510087 0.0032863957 0.0032250553 0.0031398023 0.0038873248 0.003325903 0.003288475 0.0036232488 0.0046296488 0.0032905545 0.0034787345 0.003165794 0.004033918 0.0031928255 0.0034704173 0.0033404585 0.008664607 0.0045994986 0.004012085 0.0035244802 0.0043655727 0.0034350685 0.0030223196 0.003383085 0.004543356 0.003833262 0.0029557808 0.0031865875 0.003726176 0.002794632 0.0028424568 0.0029786534 0.0052357763 0.003203222 0.0034984883 0.0030202402 0.0036585974 0.00317827 0.0033019907 0.0032614437 0.004542317 0.0028362188 0.0030347956 0.002703141 0.0035172023 0.0032281743 0.0029796932 0.0031491593 0.0050153662 0.0034090767 0.0032708007 0.0027925526 0.0037729612 0.0030098436 0.00305247 0.0031834685 0.0041378853 0.0030004866 0.0031200487 0.0030098436 0.0036471612 0.0028310204 0.0029131544 0.0030264782 0.0046743546 0.0031086123 0.0038405396 0.0028538932 0.0035619081 0.0031491593 0.0029859312 0.0031179693 0.004260566 0.00314708 0.0033363 0.00317827 0.0036513198 0.0031865875 0.0033311015 0.0033508553 0.006727702 0.0040640687 0.0037188984 0.003333181 0.0041222903 0.0032458487 0.00330407 0.0032208965 0.0043323035 0.003329022 0.0031169297 0.0030795014 0.0036461214 0.0029807328 0.0030732634 0.0027935924 0.0042470503 0.00327288 0.0030930173 0.0029973676 0.003710581 0.00302128 0.002932908 0.0029401858 0.003976736 0.0031086123 0.0027197758 0.0026345227 0.0035327973 0.002942265 0.0035806221 0.0028809246 0.0049602636 0.0032323329 0.0033966007 0.0029713758 0.0038072702 0.0030670254 0.003200103 0.0029058766 0.0044477065 0.0054561864 0.003468338 0.0031325247 0.0037885562 0.0030784619 0.0032468883 0.0031886667 0.0046182126 0.003316546 0.0034163545 0.003043113 0.003738652 0.0030857394 0.0033113477 0.0032437693 0.004348938 0.003027518 0.003184508 0.0028642898 0.004016244 0.0030898983 0.0042283363 0.00453296 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0045970273 0.00029515507 0.0002738123 0.0002654834 0.00031077175 0.00023997617 0.00033107342 0.00031389509 0.00032795008 0.00035397787 0.00032795008 0.00035397787 0.000523679 0.00015200226 0.00018740006 0.00074075075 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.0993517 0.06201328 0.062458877 0.055308003 0.06059685 0.059547927 0.054917064 0.05445429 0.060460985 0.053118024 0.052087326 0.05290928 0.05639232 0.050499108 0.056629695 0.053818174 4007.0 5.704517 22858.0 0.017149357 0.010455858 0.009362149 0.0086184265 0.013430746 0.012424534 0.011812057 0.01146207 0.012555779 0.009755884 0.008487182 0.0086184265 0.013911978 0.010543355 0.0117683085 0.009974626 0.016755622 0.011899554 0.008749672 0.007568466 0.009843381 0.008487182 0.007830956 0.008355937 0.010280864 0.008443434 0.0096246395 0.008880917 0.011549567 0.008968414 0.0096683875 0.009187155 0.018068073 0.010893341 0.010368361 0.009055911 0.010893341 0.008837169 0.0106746 0.008312188 0.014261966 0.011637064 0.009755884 0.008968414 0.01146207 0.009362149 0.011680812 0.009580891 0.014830694 0.0096246395 0.009974626 0.009012162 0.012074547 0.009362149 0.009580891 0.009799632 0.013693237 0.009230904 0.010543355 0.009537143 0.011155832 0.009843381 0.010412109 0.010718348 0.017980576 0.011024587 0.009712135 0.008180943 0.013124508 0.00826844 0.009405897 0.008355937 0.015486919 0.0093184 0.008924665 0.008705923 0.011374573 0.00800595 0.009930878 0.007874705 0.013212005 0.00800595 0.008705923 0.008837169 0.011418322 0.009405897 0.008180943 0.007874705 0.010893341 0.008837169 0.011899554 0.008443434 0.011287076 0.008968414 0.009974626 0.008749672 6.5544834 0.0 0.0 0.0 14.0 961844.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.28476727 0.005014901 0.009724234 0.0032138505 0.0032138505 0.0042599696 0.0035445823 0.0036092906 0.0038681242 0.0041017933 0.0037926312 0.0034511145 0.004601486 0.003361242 0.0029622067 0.003149142 0.0023151226 0.0018477843 0.0029298526 0.0019592266 0.001779481 0.0026027155 0.0014487491 0.0014271797 0.0017507217 0.0016824184 0.0015530016 0.0015206473 0.0014595339 0.0013121426 0.0013552814 0.0014379644 0.0031814962 0.0015781659 0.0019232774 0.001495483 0.0020275298 0.0014739136 0.0011971054 0.0011539664 0.0013948255 0.0013085476 0.0017327471 0.0018945182 0.0015242423 0.0014990779 0.0020886434 0.00161771 0.0015098626 0.0017327471 0.001980796 0.002419375 0.0013840408 0.0016141151 0.0014487491 0.001452344 0.0017363421 0.0016788235 0.0018154301 0.0020958332 0.001984391 0.001898113 0.0018405945 0.002347477 0.0027537018 0.0047057387 0.0063198535 0.0032030658 0.0027968409 0.004971762 0.0026566393 0.0024517293 0.0020023654 0.0025595766 0.0020419094 0.0018729486 0.0022432245 0.0027680816 0.0025991206 0.0030592694 0.0042995135 0.0026027155 0.0044253357 0.0034654941 0.0023978057 0.0032569894 0.0025416021 0.003199471 0.0019448468 0.0031239777 0.0018334046 0.0018154301 0.0018010504 0.002016745 0.0024553242 0.0022683889 0.0020419094 0.0044361204 0.002793246 0.0030341048 0.0032426098 0.008225157 0.0028507644 0.002581146 0.003677594 0.004249185 0.0032030658 0.0018154301 0.0035481772 0.0020562892 0.0041952613 0.0046158656 0.0024373496 0.0022899583 0.005133533 0.0039004786 0.007103544 0.00444331 0.0020023654 0.0019124927 0.0021569466 0.0022683889 0.0018046453 0.0015098626 0.0017291522 0.0020311247 0.0017615064 0.0018765435 0.0023151226 0.0029334475 0.0038717191 0.0044289306 0.0029442322 0.0032569894 0.0021209975 0.0027393221 0.0024948684 0.004978952 0.003753087 0.008789558 0.046291668 0.0032174455 0.0020958332 0.0019196825 0.0023079328 0.0018369996 0.0029334475 0.0016320896 0.0015134575 0.001858569 0.0013948255 0.0013588764 0.0015781659 0.0014990779 0.0015961406 0.0013984204 0.0014882932 0.0013444967 0.0013301171 0.0014918881 0.001455939 0.0015026728 0.0014595339 0.0014307746 0.0014271797 0.0012833832 0.0011072326 0.0010245496 0.0014811034 0.0010964478 0.0015278372 0.0012725985 0.0014451542 0.0013085476 0.001254624 0.0012258646 0.0014990779 0.0012510291 0.0015206473 0.0013480916 0.0018226199 0.0013588764 0.0016464692 0.0016141151 0.0017039878 0.0013229273 0.0016392794 0.0014128 0.0014020153 0.0015098626 0.002052694 0.0018909232 0.0034079757 0.0022791736 0.0033684317 0.0024481344 0.0025200327 0.0022863634 0.002221655 0.0019412519 0.0018729486 0.002228845 0.0017327471 0.0015458118 0.0025595766 0.0016033304 0.0019124927 0.0020095552 0.0015637863 0.0017579115 0.0028363848 0.0016320896 0.0016428743 0.0031635216 0.0016644438 0.0014235848 0.0016392794 0.0017651013 0.0017938606 0.0016428743 0.001452344 0.0014667237 0.0016788235 0.0014918881 0.0016752286 0.0014092051 0.0014271797 0.0014882932 0.0016716337 0.0016500641 0.0024373496 0.0019879858 0.0048603197 0.0015206473 0.0017651013 0.002063479 0.0024768936 0.0014415593 0.0017435319 0.0016932031 0.0023115277 0.0015925455 0.0015997355 0.0019196825 0.0024301598 0.0017183674 0.0020814536 0.0020059603 0.0030376997 0.0020311247 0.0025200327 0.0033684317 0.0032641792 0.005539758 0.006255145 0.06701633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033926505 7.233796e-06 3.616898e-06 7.233796e-06 0.0 0.0 1.808449e-06 5.4253474e-06 0.0 0.0 0.0 0.0 0.00017722801 0.0 9.042245e-06 9.94647e-05 0.013948568 9.042245e-06 1.0850695e-05 7.233796e-06 7.233796e-06 1.2659143e-05 9.042245e-06 7.957176e-05 0.003830295 0.0 0.0 0.0 7.052952e-05 0.0 5.4253474e-06 0.0005280671 0.05049009 4.5211225e-05 0.00020435474 6.691262e-05 8.318866e-05 5.6061923e-05 5.4253473e-05 0.00013744213 0.014583333 2.7126736e-05 2.3509838e-05 2.170139e-05 0.00013382523 1.808449e-06 4.5211225e-05 0.00439634 0.036771197 0.00013382523 7.052952e-05 5.4253473e-05 8.138021e-05 6.510417e-05 6.3295716e-05 0.0001030816 0.010604746 9.042245e-05 0.0001030816 6.691262e-05 6.3295716e-05 0.000112123846 0.00012659143 0.010749421 0.019934535 5.787037e-05 0.00013201678 9.94647e-05 0.00011031539 0.0001066985 9.042245e-05 9.403935e-05 0.0065104165 0.00020435474 0.00014829282 0.00013020834 0.000108506945 0.000121166086 0.0003508391 0.0051341867 0.040049914 0.0003870081 0.001759621 0.00030020255 0.00060221355 0.0004611545 0.005050998 0.0024775753 0.009758391 0.0005913628 0.00034360532 0.00044307002 0.00035626447 0.0003508391 0.0010398582 0.028620515 0.014964916 0.00029296876 0.00078305847 0.0004611545 0.0004937066 0.0007595486 0.0019748264 0.0011230469 0.0022063078 0.00027126737 0.00026945892 0.00024052373 0.0002061632 0.0002622251 0.00031828703 0.0050021703 0.01244213 0.000265842 0.0005081742 0.00041413485 0.00411603 0.002701823 0.013465712 0.0070855035 0.0016655816 0.00071614585 0.000390625 0.00031467015 0.00030562788 0.00032552084 0.00032552084 0.003105107 0.016250724 0.00057327835 0.0007993345 0.00061125576 0.0025282118 0.0008499711 0.003732639 0.0021357783 0.0025499132 0.001470269 0.00055519387 0.00058412907 0.0006546586 0.0006221065 0.00067636 0.0024432146 0.06286169 0.0038917824 0.0036096643 0.0035481772 0.004723669 0.0035373264 0.0048701535 0.003841146 0.0046531395 0.004007523 0.003512008 0.0034179688 0.0034848813 0.0036693432 0.0037018952 0.0048918547 0.009150752 0.00081018516 0.0009006076 0.0007071036 0.0015118634 0.0017270689 0.0021520543 0.0014503761 0.001208044 0.0006890191 0.0005714699 0.00062391494 0.0008119936 0.00063114875 0.00067636 0.0023039642 0.0048177084 0.0007559317 0.0005787037 0.0006383825 0.0021719474 0.0021086517 0.003850188 0.0022894966 0.001756004 0.00043221933 0.0005371094 0.00045753762 0.0011338976 0.00044307002 0.0007993345 0.0031557437 0.014290364 0.0035771122 0.0025191696 0.0036530672 0.00635489 0.006099899 0.0029441551 0.0043818722 0.008897569 0.0023871528 0.0017053675 0.0027578848 0.0053403503 0.0034686052 0.004018374 0.009085648 0.04533782 0.01766493 0.015116826 0.018491391 0.026390698 0.025112124 0.017952474 0.019046586 0.030463325 0.015782336 0.013246889 0.016071687 0.023265697 0.018730108 0.019370299 0.029808667 1268.0 10.542586 13368.0 0.005460802 0.0021693597 0.0026929982 0.0020197486 0.0026181927 0.0018701376 0.0017953322 0.0013464991 0.0016457211 0.0014961101 0.0025433872 0.0018701376 0.0014961101 0.0020945542 0.0034410532 0.003964692 0.0011220826 0.0020197486 0.0028426093 0.0035158587 0.001196888 0.0020945542 0.0015709156 0.0018701376 0.002393776 0.0021693597 0.0027678036 0.0035158587 0.0032166368 0.0043387194 0.0032166368 0.0026929982 0.004862358 0.010846798 0.008901855 0.018028127 0.01264213 0.012866547 0.011594853 0.016157988 0.005760024 0.012118492 0.0034410532 0.004039497 0.0073309396 0.0105475765 0.006358468 0.0077797724 0.01548474 0.0033662478 0.014512268 0.017429683 0.010397965 0.0061340514 0.006508079 0.020421904 0.003964692 0.0041891085 0.002393776 0.0046379413 0.0021693597 0.0023189706 0.0065828846 0.003964692 0.0042639137 0.04091861 0.013614602 0.021768402 0.021543985 0.098892875 0.01249252 0.013165769 0.010098743 0.03710353 0.0059844404 0.006059246 0.038300417 0.015409934 0.036205865 0.04510772 0.015035907 0.0070317173 0.04226511 0.027752843 0.0638839 0.016906044 0.0065828846 0.0080041895 0.010622382 0.009350688 0.0030670257 0.0022441652 0.0024685818 0.002393776 0.0023189706 0.0023189706 5.7233596 0.0 0.0 0.0 4.0 278171.0 290816.0 0.0 0.0 596.0 0.0 1.0 0.0 0.0 0.0 1468894000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 148992.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148992.0 0.0 90624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6732726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.083253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.536355 0.0 2.654985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148583.0 0.0 90256.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 2.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 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 2.0 0.0 0.0 1.0 1.0 -1.0 2.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 2.0 -1.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -3.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 2.0 1.0 1.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 2.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -3.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 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 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 158072.0 90256.0 196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2424.0 155648.0 0.0 0.0 0.0 0.0


Input: 0.022654908 0.004367607 0.004072977 0.0040059583 0.004227247 0.0038845658 0.003788463 0.0037201797 0.004228512 0.0037315604 0.003758115 0.003801108 0.0039439974 0.0039414684 0.003825134 0.0040514804 0.0040211324 0.0038972108 0.003868127 0.0036822446 0.0039288234 0.0041412604 0.0039136494 0.0038365144 0.0038845658 0.0035583228 0.0038137534 0.003783405 0.0038795075 0.0037796116 0.0037113281 0.0036569545 0.003780876 0.0037796116 0.0037922566 0.0037922566 0.003965494 0.0037922566 0.0038238694 0.003785934 0.0037745535 0.0037821406 0.00379605 0.0037770825 0.0038188114 0.003760644 0.003865598 0.0038150179 0.0038719205 0.003832721 0.0038061664 0.0039060623 0.0037998436 0.0039882553 0.0037720245 0.0036746575 0.0037340894 0.003760644 0.0038289274 0.0038023726 0.0038820368 0.003830192 0.0038833013 0.003842837 0.0045876317 0.0038858303 0.004124822 0.0038934173 0.003927559 0.004420717 0.0039010043 0.0038023726 0.003691096 0.0038441014 0.0038491595 0.0036329287 0.003927559 0.0040881513 0.0036873026 0.003730296 0.004201957 0.0038516885 0.003775818 0.0040388354 0.0037694955 0.0038491595 0.00416908 0.003968023 0.0038833013 0.003868127 0.003755586 0.0037442055 0.003868127 0.0038441014 0.00379605 0.003765702 0.0038263984 0.003875714 0.003760644 0.003845366 0.0040110163 0.0041210284 0.0037770825 0.0037265022 0.0040388354 0.003960436 0.004277827 0.003763173 0.0039161784 0.0038314564 0.0039414684 0.003870656 0.0039756102 0.003845366 0.0041412604 0.0039844615 0.004491529 0.004394162 0.003763173 0.0037467345 0.0038162824 0.0037998436 0.0037252377 0.0035520003 0.0037619085 0.003945262 0.0037391474 0.0038074309 0.0039781393 0.0039212364 0.0037252377 0.0040489514 0.003942733 0.0040287194 0.0036670705 0.0037012121 0.0039123846 0.004139996 0.0036215482 0.0046078637 0.003688567 0.0039010043 0.003675922 0.0037163862 0.003760644 0.0038188114 0.0036974186 0.003750528 0.0036948896 0.0036367222 0.0036948896 0.0037265022 0.003678451 0.0037087991 0.0037619085 0.0037239732 0.0036518965 0.003730296 0.00377076 0.003740412 0.0035848776 0.0037720245 0.0036544255 0.0037138571 0.0037239732 0.0037669665 0.0037922566 0.0036544255 0.0036013161 0.0036329287 0.0037087991 0.0036721285 0.0035254457 0.0036190192 0.0037100636 0.0037922566 0.003693625 0.0036152257 0.003673393 0.003732825 0.0036341932 0.0037871986 0.0037227087 0.0037543215 0.003755586 0.0036544255 0.0036152257 0.0036594835 0.003768231 0.0036721285 0.0036873026 0.0036316642 0.0040401 0.0038049018 0.0038263984 0.0038061664 0.00374547 0.0035671743 0.003727767 0.003868127 0.003935146 0.0037087991 0.0036266062 0.0037227087 0.0037265022 0.0038086954 0.0034837169 0.0037947856 0.00383525 0.0037619085 0.0037947856 0.0036164902 0.0037252377 0.0037568505 0.003755586 0.003768231 0.003778347 0.0037770825 0.00368098 0.0037593795 0.0037694955 0.0036481027 0.003650632 0.0035520003 0.003778347 0.0036000516 0.0036518965 0.0036974186 0.0036974186 0.003653161 0.0036278707 0.0035494713 0.004396691 0.0038908883 0.0036746575 0.0038845658 0.003763173 0.003780876 0.0037290314 0.003696154 0.0039085913 0.0037075346 0.003763173 0.003691096 0.0037201797 0.0036278707 0.0038036373 0.003668335 0.0039364104 0.0036228127 0.0037062701 0.0037416765 0.0038289274 0.003665806 0.0038365144 0.008415295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012368525 1.4566107e-05 6.3330904e-06 6.3330904e-06 6.9663993e-06 4.433163e-06 1.266618e-06 1.899927e-06 1.266618e-06 5.699781e-06 6.33309e-07 2.533236e-06 1.266618e-06 6.33309e-07 3.1665452e-06 3.1665452e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032501419 3.926516e-05 3.5465306e-05 3.6731923e-05 6.713076e-05 3.799854e-05 6.586414e-05 5.0031413e-05 3.4831995e-05 3.0398833e-05 1.4566107e-05 1.2666181e-05 1.5832726e-05 9.499635e-06 1.39327985e-05 0.00017669321 0.001022794 7.283054e-05 1.8365961e-05 1.6466034e-05 1.4566107e-05 1.4566107e-05 7.599708e-06 1.39327985e-05 1.0132944e-05 1.0132944e-05 7.599708e-06 6.3330904e-06 8.233017e-06 5.066472e-06 1.0132944e-05 5.8264428e-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 0.0008916991 1.2032871e-05 1.7732653e-05 2.0899197e-05 2.596567e-05 3.166545e-05 3.863185e-05 2.9132214e-05 2.8498906e-05 1.899927e-06 1.266618e-06 2.533236e-06 7.599708e-06 1.899927e-06 6.9663993e-06 0.00017859314 0.00073970493 1.0132944e-05 6.396421e-05 5.63645e-05 3.356538e-05 3.0398833e-05 0.00020645873 0.00010639591 1.39327985e-05 6.33309e-07 6.33309e-07 1.899927e-06 2.533236e-06 0.0 3.1665452e-06 2.7232287e-05 0.0015364076 0.00013299489 0.00012286195 8.613003e-05 0.00032362092 0.00015389409 0.0008271016 0.00040531778 2.596567e-05 2.4699051e-05 1.7732653e-05 1.6466034e-05 2.3432434e-05 1.39327985e-05 1.899927e-05 0.0001614938 0.0031507122 0.00020962529 0.00029132215 0.00024319066 0.00048828125 0.00028245582 0.0012438189 0.0009132316 0.00012982835 8.043025e-05 8.2330174e-05 8.359679e-05 7.4730466e-05 7.156392e-05 7.7897006e-05 0.0003590862 0.001112724 0.0001608605 0.00014946093 0.00014692769 0.00016782689 0.00012539518 8.739664e-05 9.81629e-05 8.929657e-05 1.5199416e-05 2.4699051e-05 2.0265888e-05 5.193134e-05 3.166545e-05 2.7865597e-05 0.00028435574 0.0013559146 0.00020772536 0.00020012565 0.0002039255 0.00022735793 0.00017162674 0.00021975822 0.0002387575 0.00016339372 5.763112e-05 6.206428e-05 6.839737e-05 7.409715e-05 5.0664723e-05 5.699781e-05 0.0005326129 0.005398326 0.0009987283 0.00068904023 0.0011082907 0.0016510366 0.0013147495 0.0008448342 0.0012723178 0.0016960015 0.00030652157 0.00031538788 0.0003166545 0.00074857124 0.0003920183 0.0009607298 0.0027390616 0.003945515 0.0008840994 0.00079100294 0.0009626297 0.0013996129 0.0012431856 0.00061557634 0.0011443894 0.0013749138 0.0003014551 0.00030398832 0.00031538788 0.0006694076 0.00030398832 0.00072007236 0.0018859942 0.05791864 0.05864568 0.058544986 0.058362592 0.058615282 0.05878121 0.058388557 0.0582334 0.05876601 0.05874258 0.058125734 0.05824733 0.05853612 0.05875841 0.058209963 0.058272664 3575.0 6.299021 22519.0 0.011279364 0.007860029 0.009947156 0.008481727 0.00914783 0.008836982 0.009059017 0.0080376575 0.009192238 0.010391225 0.008082064 0.008126471 0.008792575 0.010213598 0.010702074 0.008836982 0.008481727 0.00914783 0.008836982 0.009414272 0.008481727 0.008126471 0.008304099 0.008082064 0.008970203 0.009281051 0.009103424 0.010391225 0.00901461 0.009236645 0.0095919 0.009547493 0.008570541 0.0138549665 0.00901461 0.012123096 0.010746481 0.010568853 0.009991563 0.010258004 0.008570541 0.010346818 0.009369865 0.00945868 0.011146143 0.010480039 0.010124784 0.008836982 0.010657667 0.008748168 0.01016919 0.011856655 0.009858342 0.009769528 0.008748168 0.009858342 0.008170878 0.009547493 0.009236645 0.008570541 0.009636307 0.008703761 0.008126471 0.009369865 0.009192238 0.015942093 0.010524446 0.0122119095 0.013943781 0.027709933 0.009236645 0.011012922 0.010968516 0.015453617 0.009103424 0.009769528 0.016785825 0.012345131 0.016608197 0.016830232 0.011012922 0.008925796 0.01700786 0.015586838 0.020382788 0.010258004 0.009503086 0.009725121 0.010080377 0.010524446 0.009059017 0.008792575 0.009636307 0.00914783 0.008304099 0.008925796 6.5381756 0.0 1.0 0.0 21.0 790822.0 352256.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1245360800.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 1.0 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 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.263696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7227535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.486413 0.0 4.854086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23488.0 0.0 19648.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -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 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 19648.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0