Input: 0.074932255 0.012594413 0.0061116237 0.003455806 0.0057296474 0.004050392 0.00412967 0.0038233683 0.004140481 0.0039494927 0.008709785 0.0035711196 0.0037657116 0.0040287706 0.0046774102 0.0037404867 0.0033693209 0.0057620793 0.005304428 0.0048792087 0.00379454 0.0036359837 0.0044251615 0.004277416 0.0042017414 0.003463013 0.0033981493 0.004781913 0.003927871 0.0034413917 0.003931475 0.0037404867 0.0051458715 0.0038053505 0.0042485874 0.003473824 0.0046629957 0.0036215694 0.004371108 0.003272025 0.0042738123 0.0038161613 0.0033657174 0.0030738295 0.004363901 0.003063019 0.003917061 0.0031170722 0.0034233741 0.0044071437 0.0028756342 0.0031170722 0.002854013 0.0030666224 0.0031170722 0.0049152444 0.0037440902 0.003272025 0.0031999538 0.0037116583 0.0032431965 0.0033873385 0.003254007 0.0032864392 0.0021260956 0.0032972498 0.003553102 0.003927871 0.0041765166 0.0042702085 0.0038882322 0.0033981493 0.004533268 0.003351303 0.00236393 0.003127883 0.003239593 0.0034413917 0.0032684214 0.0035242736 0.002893652 0.0036071553 0.0036143623 0.0035134628 0.0034341847 0.0028179775 0.0025729358 0.0025981606 0.0034377882 0.0028972556 0.00302338 0.002814374 0.0030954508 0.0029080661 0.0029729302 0.003664812 0.0031855397 0.0058954107 0.0038449897 0.004389126 0.003463013 0.007571062 0.0032756284 0.003254007 0.003102658 0.0049476763 0.0029765337 0.0036071553 0.0048323628 0.004126067 0.0077440324 0.00884672 0.0065224287 0.0033729244 0.008709785 0.006356665 0.006680985 0.0040143565 0.0028395988 0.0034449955 0.0035026523 0.0042954334 0.002965723 0.004187327 0.0033296817 0.0033873385 0.0034846344 0.0031386935 0.0035891375 0.0026558177 0.0030594154 0.002918877 0.0032035573 0.0033260782 0.0042666052 0.0032323857 0.0031819362 0.0045116465 0.0031639184 0.0034197706 0.0031783325 0.0037404867 0.0036864334 0.0030846403 0.0028864448 0.004306244 0.0027855455 0.0034053563 0.003149504 0.002814374 0.00302338 0.0032287822 0.0036467942 0.0026486104 0.0030954508 0.0037404867 0.0036756226 0.0028684272 0.0032251787 0.0031386935 0.0025693323 0.003272025 0.0039675105 0.0037080545 0.003488238 0.0029296875 0.002926084 0.0025837466 0.0032576106 0.002508072 0.0033981493 0.0023747406 0.0027639242 0.0028504094 0.0028323915 0.0032035573 0.0034305812 0.0038882322 0.0025585217 0.0033296817 0.0027855455 0.002814374 0.0029477053 0.0029441018 0.004122463 0.00500173 0.0034233741 0.0026017644 0.003030587 0.003037794 0.002998155 0.0033801314 0.0033260782 0.003149504 0.0035242736 0.0046413746 0.0034197706 0.0038161613 0.0028828413 0.0031819362 0.0029080661 0.003174729 0.0036431907 0.002652214 0.0031531076 0.0035314807 0.0030017586 0.0033801314 0.0032900427 0.0037224689 0.0024360009 0.0025945571 0.002965723 0.0027495099 0.0027927526 0.0033044568 0.0038053505 0.0027350958 0.0028756342 0.0024936576 0.0054918127 0.002933291 0.0029801372 0.0035567055 0.003808954 0.0035639126 0.0037188653 0.0029765337 0.0033260782 0.003924268 0.003672019 0.0035170664 0.0033404925 0.002835995 0.002893652 0.0029801372 0.002796356 0.0027459064 0.0029116697 0.0033152676 0.0033116639 0.0027639242 0.0031062616 0.0034990488 0.00302338 0.0030161727 0.0028756342 0.003495445 0.0032359895 0.0032900427 0.0030738295 0.0032143681 0.0035350842 0.00302338 0.0033476995 0.004100842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033311632 7.233796e-06 0.0003237124 0.00020978009 0.0013744213 0.0010706019 0.007866753 0.0042986833 1.0850695e-05 3.616898e-06 3.616898e-06 7.233796e-06 0.0 0.0 5.4253474e-06 5.4253474e-06 0.02115162 0.0009096499 0.0032027634 0.0007559317 0.0017704717 0.0012008102 0.008881293 0.005166739 0.0001066985 7.5954864e-05 7.957176e-05 6.3295716e-05 0.00021520544 0.00015010127 0.0004864728 0.00022786458 0.025589554 0.004635055 0.0034686052 0.000942202 0.0010941117 0.0008734809 0.0041106045 0.0038122106 0.0011013455 0.00052264176 0.00037073207 0.00015914351 0.00034903068 0.00046657986 0.00034903068 0.00030381946 0.024811922 0.006134259 0.0029061777 0.0013943142 0.0011284723 0.00095666957 0.0029441551 0.003692853 0.001083261 0.0011574074 0.0013798466 0.0011284723 0.0009657118 0.00088975695 0.00051721645 0.0007613571 0.011340784 0.0031720197 0.001529948 0.00077944156 0.0005045573 0.00063114875 0.0018970631 0.002001953 0.00069806137 0.0005750868 0.00058051216 0.0007324219 0.0004756221 0.0003508391 0.00026041668 0.00039605034 0.0092484085 0.00035445602 0.00048466434 0.00071614585 0.0004756221 0.00040690103 0.0005913628 0.0007703993 0.00076859083 0.0011537905 0.0013255932 0.0011320891 0.0012315538 0.0015046296 0.00092411746 0.0011338976 0.00666956 0.00042498554 0.0007071036 0.0010054976 0.0005859375 0.00056604453 0.0010507089 0.0010054976 0.0006854022 0.001546224 0.0017614294 0.0012315538 0.0010651766 0.0019024884 0.000869864 0.0011447483 0.0020815248 0.000390625 0.00034541378 0.0003870081 0.00037073207 0.00034179687 0.00044487847 0.00042498554 0.00038519964 0.00032913772 0.00034903068 0.00037073207 0.00030020255 0.000302011 0.0002875434 0.00029658564 0.045249205 0.05046477 0.04861473 0.048793763 0.04833261 0.043977864 0.047198713 0.049045138 0.049562354 0.046453632 0.04295428 0.047650825 0.048978228 0.045341436 0.048813656 0.047828052 1683.0 9.3571005 15748.0 0.008382017 0.0071755145 0.008636017 0.0057785115 0.008255016 0.0043180087 0.0038735077 0.0050800103 0.0043815086 0.007874016 0.0066675134 0.0037465075 0.010668022 0.00495301 0.0137795275 0.0043815086 0.007810516 0.009398019 0.006604013 0.005334011 0.0043815086 0.004445009 0.005969012 0.011430023 0.0053975107 0.004064008 0.004635509 0.010731521 0.0052705104 0.0055880114 0.005334011 0.0041910084 0.0015875031 0.009080518 0.010731521 0.012636526 0.0077470155 0.011874524 0.008572517 0.0064770128 0.0064770128 0.009334519 0.0046990095 0.004572009 0.008318516 0.006921514 0.0056515113 0.007937516 0.007620015 0.005905512 0.011620523 0.013906528 0.009144018 0.0053975107 0.0047625094 0.007112014 0.004064008 0.0033655067 0.00495301 0.0031750062 0.0047625094 0.0036830073 0.0053975107 0.016129032 0.0038100076 0.029146558 0.010985522 0.018034035 0.017208535 0.06737363 0.009080518 0.013398527 0.006223012 0.032131065 0.0033655067 0.007874016 0.02495555 0.018796038 0.03917958 0.03473457 0.012319025 0.003556007 0.03479807 0.03359157 0.052070104 0.01949454 0.0067945137 0.0071755145 0.009334519 0.013589027 0.0048260097 0.0030480062 0.0088265175 0.0022225045 0.004127508 0.0057785115 6.099719 1.0 0.0 0.0 7.0 277504.0 303104.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542187600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 274944.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274944.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7544518 0.0 4.26106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274612.0 0.0 1420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 282700.0 1420.0 286720.0 0.0 0.0 0.0 0.0 12.0 294912.0 28.0 282388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.17873655 0.008314244 0.0034852838 0.0032107693 0.0147127975 0.0020371869 0.0037157973 0.00090694876 0.009948853 0.0010731024 0.0008307677 0.00087936595 0.008833064 0.0010553706 0.0005115953 0.0040993295 0.0066881725 0.0010238473 0.00053786463 0.00042556322 0.004687106 0.002270984 0.00039863714 0.00053261075 0.0028456256 0.0004932067 0.0004886096 0.00029881368 0.0026348142 0.00041308528 0.00049189327 0.001967573 0.011172348 0.0008051551 0.00055756664 0.00058317924 0.041708477 0.003943027 0.0004984606 0.000581209 0.0020522918 0.00057004456 0.00043869787 0.00029815696 0.002554036 0.00043672769 0.0019301394 0.0004465787 0.0032784129 0.003154947 0.002391166 0.0006179861 0.0042858417 0.0010172799 0.001027131 0.00051290874 0.0024240029 0.0007559001 0.0008452158 0.00087082846 0.0033270111 0.0013797968 0.0006626439 0.00040060736 0.006169353 0.0033499969 0.001857242 0.009433318 0.028556736 0.018552061 0.0023162987 0.0033362054 0.0017423136 0.005314943 0.0006751219 0.00072174997 0.0053832433 0.0063972394 0.007785574 0.0032869505 0.0066953967 0.002093666 0.004013954 0.009740013 0.007051346 0.013034844 0.004763287 0.0045794016 0.00087870925 0.0006252102 0.00040389103 0.0007086153 0.0013653487 0.0029638377 0.0013975286 0.024276806 0.0040894784 0.012618475 0.0023090744 0.0059723333 0.0045794016 0.022368338 0.0055888006 0.004159749 0.0028712382 0.011768661 0.00049255 0.0010987149 0.009428064 0.0058501805 0.011516476 0.010947089 0.0065791546 0.00034938214 0.012973111 0.010288385 0.023518277 0.0070395246 0.0016694162 0.0010560272 0.0018526448 0.002534334 0.00045117582 0.00021672201 0.0013246312 0.0018473909 0.0005017443 0.00046102682 0.0022256693 0.0013384225 0.00024890195 0.008779212 0.0020279926 0.007714647 0.00035726294 0.00041045833 0.0011236707 0.028284192 0.00036908415 0.015911993 0.0004327873 0.0076857503 0.0003822188 0.00027320106 0.0010980582 0.00029553002 0.0001832286 0.00029224635 0.00053983484 0.0005286703 0.00021212487 0.00021540854 0.0005647907 0.00056019356 0.00026991742 0.00019504981 0.00044460848 0.0003263965 0.00027057415 0.00020949794 0.0016385497 0.0022617897 0.00043081708 0.0008530966 0.0004643105 0.0003664572 0.00023773748 0.00025087214 0.00054837234 0.00022000568 0.00028830595 0.0002640068 0.0005214463 0.00022328935 0.00032836667 0.00042424974 0.0010481464 0.00023248361 0.00028502228 0.00018979594 0.0005470589 0.00076049723 0.00039009962 0.00025481253 0.0012333452 0.0006770921 0.0002797684 0.00025349908 0.0005634772 0.000554283 0.0006127322 0.0003822188 0.0053674816 0.00055559643 0.0022965965 0.0007559001 0.0023537322 0.00021934893 0.00072700385 0.027988663 0.0008931574 0.0008123792 0.000384189 0.0002896194 0.0028489092 0.00026991742 0.00035726294 0.00028305207 0.0017212981 0.0003290234 0.00038090535 0.000315232 0.0008504697 0.00023314034 0.00040520448 0.0003441283 0.0013896478 0.00086951494 0.00031063487 0.00059565715 0.0009811596 0.001844764 0.00047022107 0.00043410074 0.0017442838 0.00034150135 0.0003526658 0.00023445381 0.001394245 0.0024213758 0.0003388744 0.00028436555 0.010294952 0.0013009888 0.00032311282 0.0016359228 0.007825634 0.0002403644 0.0007775723 0.0022394608 0.0052118357 0.00038090535 0.00034478502 0.00043213056 0.0027615638 0.0003487254 0.0015741899 0.0009391287 0.0028837163 0.00064688234 0.00052013283 0.00059303024 0.0029710617 0.0018178379 0.002943479 0.042776328 0.0026802896 0.0 6.571753e-07 9.85763e-07 3.6144643e-06 2.9572889e-06 6.571753e-07 6.571753e-07 6.571753e-07 0.0 0.0 3.2858765e-07 0.0 3.2858765e-07 3.2858765e-07 3.2858765e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017875169 1.5772208e-05 1.7743732e-05 1.3472094e-05 3.6801815e-05 1.8729495e-05 5.290261e-05 2.9572888e-05 1.5115032e-05 2.3001135e-06 1.1500568e-05 5.2574023e-06 6.571753e-07 1.3143506e-06 4.9288146e-06 5.2574023e-06 0.0005533416 3.2858765e-07 8.871866e-06 4.9288146e-06 1.544362e-05 8.214692e-06 4.370216e-05 3.4830293e-05 0.0 0.0 0.0 1.3143506e-06 6.571753e-07 0.0 0.0 1.3143506e-06 2.6287013e-05 2.7272776e-05 0.00019748117 0.0001807232 4.9616734e-05 0.00071894977 5.58599e-06 6.571753e-06 3.2858766e-06 2.3001135e-06 4.600227e-06 4.9288146e-06 4.600227e-06 3.943052e-06 0.00020043847 0.003946995 0.0006308883 7.426081e-05 0.00051259674 0.00055827043 0.0003778758 0.0024745937 2.7601363e-05 2.7272776e-05 3.0230063e-05 1.807232e-05 7.886104e-06 3.055865e-05 1.117198e-05 1.7743732e-05 0.00053888373 0.008121043 0.0025744843 0.00018795213 0.002271855 0.0022179666 0.0034422842 0.008450617 0.015911529 0.008092128 7.130352e-05 4.9616734e-05 5.5531313e-05 5.7174253e-05 8.3461266e-05 5.8160014e-05 0.0013524668 0.013669903 0.0103475535 5.3888376e-05 0.0032372456 0.0052232295 0.018944392 0.023340238 0.05358016 0.029136196 3.778758e-05 2.4315486e-05 1.7415146e-05 1.4129269e-05 1.938667e-05 1.4786444e-05 0.00019550965 0.0011704292 0.02138777 0.000419935 0.0025058095 0.003146884 0.011575814 0.014464757 0.029415824 0.015362787 0.00043012123 0.00040580574 0.00039693387 0.00037360415 0.00039561954 0.00058948627 0.0006138017 0.0008030682 0.028479349 0.0014921165 0.004234509 0.001452686 0.0070909215 0.0051512686 0.0048223524 0.0027187343 0.0020556443 0.0006943057 0.0009368034 0.00095914735 0.0026277155 0.0012460044 0.0014586006 0.0018745925 0.022559842 0.0024315487 0.006825751 0.0013409662 0.0068415236 0.0026234437 0.00306408 0.0017658301 0.0048279385 0.00043735016 0.000564185 0.0008385557 0.0044201612 0.00056747085 0.0018561917 0.002965175 0.08656083 0.012398927 0.026447363 0.00512761 0.034342337 0.010118857 0.0026605742 0.006437689 0.034956798 0.0015039457 0.0019271666 0.0016048221 0.022818113 0.003548418 0.011827513 0.010935726 0.05742398 0.00801721 0.019926213 0.00674689 0.019823365 0.015016127 0.0049225716 0.0077076806 0.03105679 0.002554769 0.004581169 0.0037830297 0.014396083 0.0043274993 0.0121446 0.020411866 0.007008446 0.0010820391 0.0024164335 0.00094534666 0.0023835748 0.0022498397 0.0011664862 0.0013656103 0.0041310037 0.0005165398 0.0008231121 0.00059441506 0.0016537816 0.0011063546 0.0015752492 0.0032832478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14065.0 27.195663 382507.0 0.019301608 0.00024836147 0.00021176082 7.842994e-06 9.150159e-05 0.0022561678 0.00015163122 0.0004993373 0.00016993153 0.00016470287 4.705796e-05 3.9214967e-05 0.0017176156 0.00040260702 0.0052391198 0.00021698949 0.0032548425 0.00869788 0.008517492 0.0012418074 0.0046718097 0.00039737835 0.002904522 0.00055685255 0.00369405 0.00024836147 0.0012548789 0.00022744681 0.0001254879 0.0004601223 0.00023267548 9.150159e-05 0.014953975 0.0106978435 0.0057123136 0.02527274 0.010703072 0.010457325 0.0061279926 0.010101776 0.0022117242 0.01870554 3.9214967e-05 0.0007189411 0.0070534656 0.0062534804 0.0051293178 0.004812984 0.014548753 0.000789528 0.007971096 0.023366893 0.013288646 0.009341005 0.005785515 0.0028574641 0.00088102964 0.0005673099 0.000426136 0.0007241698 0.00036339206 0.0007241698 0.00055685255 0.08230699 8.627293e-05 0.048893224 0.0079423385 0.022308089 0.01586899 0.08778663 0.013808898 0.015487298 0.0077854786 0.041915573 0.0005777672 0.0033175864 0.03550262 0.022132928 0.04472598 0.04227635 0.021382615 0.0005019516 0.05049058 0.039957438 0.06960918 0.01763105 0.0052835634 0.002998638 0.003639149 0.0066273296 0.0004941086 5.4900956e-05 6.012962e-05 4.705796e-05 5.2286623e-06 7.842994e-06 5.215324 18.0 0.0 0.0 2.0 1522688.0 2236416.0 0.0 0.0 1981.0 0.0 1.0 0.0 0.0 0.0 1541458000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 13.0 0.0 1.0 0.0 4.0 0.0 912486.0 1024.0 4096.0 15.0 1.0 0.0 2.0 4.0 0.0 0.0 0.0 -1536.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 -512.0 0.0 0.0 0.0 0.0 -460288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -912384.0 -56832.0 69120.0 0.0 0.0 0.0 0.0 2048.0 -512.0 0.0 0.0 0.0 -5.1428657 0.0 0.0 -3.432074 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.3290571 0.0 5.8693748 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6460385 0.0 -5.897299 0.0 0.0 0.0 0.0 -5.4745164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8117205 -5.8045564 -5.931072 2.9650877 0.0 0.0 0.0 0.0 5.676432 -0.9219281 0.0 0.0 0.0 -1050.0 0.0 0.0 -1048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3483.0 0.0 6447.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1337.0 0.0 -444.0 0.0 678692.0 0.0 0.0 -459869.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54.0 -912042.0 -56554.0 68720.0 0.0 0.0 0.0 0.0 1594.0 -10.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 -1.0 0.0 -1.0 -2.0 3.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 2.0 -1.0 -2.0 -2.0 0.0 1.0 -3.0 -2.0 -1.0 -1.0 0.0 3.0 0.0 1.0 0.0 2.0 2.0 1.0 -2.0 -3.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -3.0 3.0 -2.0 1.0 1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 1.0 -2.0 -2.0 -1.0 -2.0 -2.0 -1.0 0.0 1.0 1.0 -2.0 0.0 -1.0 3.0 2.0 3.0 1.0 2.0 -1.0 0.0 -1.0 0.0 3.0 1.0 1.0 1.0 -1.0 -3.0 0.0 0.0 2.0 -2.0 0.0 -2.0 2.0 2.0 -1.0 -2.0 0.0 1.0 0.0 -2.0 0.0 -2.0 1.0 1.0 -2.0 2.0 1.0 -1.0 -1.0 -2.0 0.0 1.0 -1.0 1.0 -1.0 -2.0 3.0 1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 1.0 2.0 1.0 2.0 1.0 1.0 -1.0 2.0 2.0 1.0 -1.0 1.0 2.0 1.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 2.0 -1.0 1.0 0.0 1.0 -2.0 3.0 -2.0 -1.0 0.0 -1.0 1.0 1.0 -2.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -2.0 2.0 2.0 -1.0 0.0 0.0 -2.0 -2.0 1.0 1.0 -1.0 2.0 3.0 0.0 -2.0 -1.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 3.0 2.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 3.0 3.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 2.0 0.0 0.0 1.0 2.0 -2.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 4.0 -4.0 -3.0 -1.0 -3.0 0.0 0.0 0.0 -2.0 2.0 0.0 0.0 -2.0 1.0 0.0 1.0 -1.0 1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 3.0 1.0 0.0 0.0 0.0 -2.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 0.0 2.0 0.0 -3.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 -1.0 0.0 -1.0 -3.0 1.0 0.0 0.0 -2.0 0.0 2.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 2.0 1.0 -2.0 1.0 -1.0 -1.0 -2.0 0.0 -2.0 1.0 -5.0 -2.0 0.0 -3.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 3.0 -1.0 -3.0 -1.0 0.0 -1.0 0.0 0.0 3.0 0.0 -1.0 3.0 0.0 2.0 -2.0 -2.0 0.0 0.0 0.0 1.0 1.0 3.0 0.0 0.0 -4.0 1.0 2.0 1.0 2.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 -1.0 2.0 -1.0 -1.0 -2.0 2.0 1.0 -3.0 -1.0 0.0 -1.0 1.0 -2.0 1.0 -3.0 3.0 1.0 3.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 1.0 -2.0 0.0 3.0 -2.0 1.0 -1.0 0.0 -1.0 1.0 2.0 0.0 1.0 3.0 -2.0 -3.0 1.0 0.0 0.0 2.0 -2.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 2.0 1.0 -1.0 0.0 -2.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 2.0 2.0 1.0 -2.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -1.0 -3.0 -2.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 2.0 1.0 -1.0 0.0 3.0 2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 -2.0 1.0 3.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 3.0 0.0 1.0 -1.0 0.0 1.0 3.0 2.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 -2.0 -2.0 0.0 -2.0 -1.0 -3.0 1.0 -1.0 -1.0 1.0 -1.0 -2.0 1.0 2.0 0.0 1.0 0.0 1.0 2.0 -1.0 -2.0 -1.0 -1.0 0.0 -1.0 0.0 3.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 -1.0 -2.0 -2.0 1.0 1.0 -2.0 1.0 -2.0 1.0 -1.0 -1.0 -1.0 -2.0 1.0 2.0 3.0 -1.0 0.0 1.0 0.0 0.0 2.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 3.0 0.0 0.0 2.0 -1.0 0.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 -2.0 0.0 -1.0 -1.0 -5.0 -2.0 0.0 -1.0 0.0 1.0 -3.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 1.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -2.0 1.0 2.0 0.0 0.0 -1.0 1.0 1.0 -2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 1.0 1.0 2.0 -1.0 -2.0 -1.0 2.0 1.0 -3.0 0.0 -2.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 2.0 -1.0 -1.0 0.0 -1.0 1.0 3.0 2.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 3.0 -1.0 2.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 1.0 1.0 1.0 -1.0 -1.0 -2.0 -1.0 2.0 -1.0 0.0 -1.0 -3.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 2.0 -1.0 2.0 0.0 -1.0 1.0 -2.0 1.0 -3.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -3.0 0.0 0.0 4.0 0.0 2.0 -2.0 -2.0 0.0 2.0 2.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 3.0 1.0 0.0 -3.0 -2.0 -2.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 4.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 -2.0 -1.0 1.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 3.0 2.0 0.0 -2.0 -2.0 1.0 1.0 1.0 1.0 1.0 1.0 -1.0 2.0 2.0 3.0 2.0 4.0 0.0 1.0 0.0 1.0 1.0 -2.0 -4.0 2.0 1.0 1.0 2.0 2.0 -1.0 -2.0 4.0 0.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -2.0 1.0 5.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 1.0 -1.0 0.0 2.0 -3.0 0.0 -1.0 2.0 0.0 -1.0 0.0 2.0 0.0 1.0 2.0 -3.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 -2.0 -1.0 -1.0 -2.0 -1.0 1.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56554.0 2109440.0 68720.0 2166784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.005554199 0.0037078857 0.0034953526 0.003627232 0.0033732823 0.0037067959 0.0036642891 0.0036839077 0.003605434 0.0038604736 0.0037231445 0.0038223267 0.0036566597 0.0038779122 0.003767831 0.0038844517 0.0035433087 0.0038626534 0.0036599296 0.0036904472 0.0037514823 0.004043579 0.003782 0.0038332257 0.0035422188 0.0038517544 0.0037318638 0.0038877216 0.0039716447 0.003970555 0.004141671 0.003879002 0.0035149711 0.003882272 0.003691537 0.0040097916 0.0036228725 0.0039356775 0.0036468506 0.0039487565 0.0037002563 0.0038495746 0.0037732807 0.0039629256 0.003782 0.003972735 0.0037449428 0.0038659233 0.0033863613 0.0037885394 0.0037994385 0.004018511 0.0035988945 0.0040021623 0.0038626534 0.0038212368 0.0037220547 0.004122053 0.0039051601 0.0039770943 0.0038997105 0.0039901733 0.0041634697 0.0038288662 0.0035073417 0.0038484845 0.003819057 0.003729684 0.003972735 0.0039781844 0.0038234165 0.004131862 0.00365448 0.0037961688 0.0037394932 0.0038070679 0.0036806378 0.0039738244 0.003754752 0.003970555 0.0037961688 0.003970555 0.0038234165 0.0038899013 0.0037460327 0.004069737 0.0039716447 0.00403159 0.0038964408 0.0040250504 0.0039008004 0.0039999825 0.0038735527 0.003893171 0.0040392196 0.0039008004 0.0034964425 0.0040283203 0.0036642891 0.0038005284 0.0037972587 0.004173279 0.0037852696 0.004045759 0.0038016182 0.0038517544 0.0039465767 0.0042528426 0.0038877216 0.0042255945 0.0040283203 0.004021781 0.003855024 0.00403704 0.0039738244 0.0040893555 0.0037122455 0.004180908 0.0038506645 0.0038964408 0.0040130615 0.0040773666 0.003941127 0.0041405815 0.0040621078 0.0041667395 0.0042386735 0.003641401 0.0036762783 0.0033874512 0.0037623814 0.0038528442 0.0040250504 0.003843035 0.0037351337 0.003840855 0.0038724628 0.003829956 0.0037558419 0.0039912635 0.0039258683 0.0038419452 0.0041514807 0.004205976 0.0037983486 0.003767831 0.0039498466 0.0038321358 0.0040119714 0.0038288662 0.0039781844 0.0038037982 0.0037743705 0.0037449428 0.0038419452 0.0037645611 0.003985814 0.003868103 0.0038800922 0.0041765487 0.0036315918 0.0038266864 0.0039487565 0.003753662 0.0039716447 0.0038146973 0.003857204 0.0038768223 0.0038779122 0.0038103375 0.003945487 0.0040512085 0.004173279 0.0040413993 0.0040359497 0.0042452132 0.003753662 0.0037885394 0.003960746 0.0038866315 0.003995623 0.004070827 0.004070827 0.004055568 0.0038081578 0.00403377 0.0038899013 0.0039029804 0.0041503906 0.0041046143 0.004070827 0.0040882654 0.0036937168 0.0037133354 0.0039247787 0.003791809 0.003868103 0.0035934448 0.0036839077 0.0042495728 0.0038266864 0.0036860874 0.0039999825 0.0041438513 0.003954206 0.003916059 0.003992353 0.0042582923 0.0037253243 0.003679548 0.0038899013 0.0038593838 0.0039051601 0.0037525722 0.0040141516 0.0041111535 0.0037362236 0.0040021623 0.0041602 0.004071917 0.0038757324 0.0039487565 0.004044669 0.003972735 0.003791809 0.0038506645 0.0038495746 0.0041275024 0.0039585656 0.004093715 0.0039618355 0.0042288643 0.0038103375 0.0038877216 0.0039334977 0.0042681014 0.004055568 0.00416129 0.0039781844 0.0041907174 0.0040512085 0.0039008004 0.003957476 0.0041438513 0.003989083 0.004057748 0.004122053 0.0041819983 0.0039400375 0.0040621078 0.0041133338 0.0041667395 0.0040522986 0.004183088 0.0038561139 0.0041852677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017670871 0.00012438897 7.637919e-05 4.8555343e-05 0.00013530027 8.619937e-05 0.00019585807 0.00021004277 0.00019422137 2.0731495e-05 2.2913757e-05 2.509602e-05 0.00011511435 2.2913757e-05 4.364525e-05 0.0002635082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00033770513 8.183485e-05 2.8369413e-05 1.636697e-05 7.365136e-05 6.98324e-05 0.00014512046 9.4382856e-05 7.201466e-05 7.637919e-06 1.09113125e-05 7.637919e-06 2.2913757e-05 1.3093575e-05 1.9640363e-05 0.00011620548 0.0002760562 5.4556564e-05 5.2919866e-05 4.9646475e-05 8.074372e-05 7.256023e-05 5.1828734e-05 7.365136e-05 8.510824e-05 1.2002444e-05 1.6912534e-05 1.8549232e-05 4.910091e-05 2.7278282e-05 4.8555343e-05 0.00014784829 0.05819658 0.060914587 0.06077274 0.061813135 0.060806017 0.0625982 0.062446535 0.06354149 0.061384317 0.062002443 0.06285189 0.06362823 0.06215084 0.0627335 0.06408269 0.06449022 4359.0 5.828401 25406.0 0.011139101 0.010273164 0.008108321 0.009761474 0.00960403 0.010430607 0.01007636 0.0104699675 0.008147682 0.010666772 0.009800835 0.009407227 0.010509329 0.009761474 0.009485948 0.008738093 0.007754074 0.008659372 0.009485948 0.010824215 0.009289145 0.010902937 0.009918917 0.009446587 0.009131701 0.010745493 0.008620011 0.010036999 0.009918917 0.010824215 0.010036999 0.011178462 0.009131701 0.012201842 0.010824215 0.009879556 0.012516729 0.010784854 0.010155082 0.011335905 0.009289145 0.012044399 0.009210423 0.00960403 0.00909234 0.01058805 0.012241202 0.009997638 0.011532709 0.010233803 0.011375266 0.01161143 0.009958277 0.011296544 0.010627411 0.010312525 0.010273164 0.012241202 0.010863575 0.010824215 0.01011572 0.01007636 0.011532709 0.009682752 0.008108321 0.011257184 0.011257184 0.010706132 0.011060379 0.013933716 0.010627411 0.010233803 0.01161143 0.012831614 0.010273164 0.010784854 0.0126741715 0.012319924 0.011926317 0.011768874 0.010312525 0.008423207 0.011257184 0.011375266 0.010863575 0.009997638 0.009761474 0.01058805 0.009407227 0.01109974 0.009485948 0.010942297 0.010036999 0.009682752 0.01058805 0.010194442 6.5766473 0.0 0.0 0.0 16.0 917504.0 925696.0 0.0 0.0 26.0 0.0 1.0 0.0 0.0 0.0 929138750.0 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 2048.0 1024.0 4096.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 914432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.855813 0.0 7.998518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1856.0 0.0 917504.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 5308.0 914140.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 116.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.06036915 0.004390907 0.0040356745 0.0034271206 0.004239497 0.003840588 0.003578531 0.0038900876 0.003613472 0.0040618805 0.003051506 0.003127211 0.0040968214 0.004053145 0.0029146539 0.003456238 0.004516112 0.0039687045 0.0036862656 0.0038376763 0.003060241 0.0032582395 0.0031242995 0.0030893586 0.0030049179 0.0039337636 0.0049878145 0.003036947 0.0031039172 0.0037212064 0.0033019157 0.0038027354 0.0042132908 0.0036396778 0.003456238 0.0037736178 0.0032698864 0.0034970024 0.0033863562 0.004335584 0.003036947 0.0028418603 0.0035377669 0.0029379479 0.0035144729 0.0038143822 0.0029670652 0.002935036 0.0037182947 0.0033397684 0.0035843547 0.0036658833 0.003954146 0.0033601504 0.003016565 0.0038929994 0.00295833 0.0035872664 0.0046587875 0.003511561 0.003840588 0.0029787123 0.0028389487 0.0033019157 0.0063213925 0.0040851743 0.0029990945 0.0029961828 0.00616707 0.01255252 0.002801096 0.0048917267 0.003252416 0.00391047 0.0030194765 0.003828941 0.0035523255 0.005375076 0.0044782595 0.00295833 0.00519746 0.0037765296 0.0031475932 0.0032378573 0.0039162934 0.004536494 0.003671707 0.0029903592 0.0040298514 0.0038143822 0.0031592404 0.0034125617 0.0032960922 0.0032931804 0.0035261197 0.00314177 0.003645501 0.003127211 0.003036947 0.0039483225 0.004385084 0.0034183853 0.0031359463 0.0034125617 0.0038580585 0.004210379 0.004157968 0.004175438 0.0036542364 0.0031126523 0.0036571482 0.0041317623 0.0030544174 0.0036775304 0.003578531 0.003523208 0.0038551467 0.002981624 0.0041958205 0.003365974 0.0035319433 0.0032902686 0.0034067384 0.0030253 0.0037794414 0.0034707966 0.0028768012 0.003232034 0.004166703 0.0040706154 0.0035610606 0.003534855 0.0040007336 0.0045568766 0.0029903592 0.0034707966 0.0045597884 0.0039483225 0.0031475932 0.006108835 0.003770706 0.0036833538 0.004009469 0.002879713 0.0048946384 0.0036192955 0.0035290315 0.0040123807 0.0035610606 0.0034242088 0.0038813523 0.0029175656 0.0037910882 0.0033455917 0.0033747093 0.0029874474 0.0030253 0.0033776208 0.0032611513 0.0035086493 0.0034911789 0.0029961828 0.0032669748 0.0034242088 0.0029554183 0.0033747093 0.002844772 0.0033193862 0.0038580585 0.003828941 0.003354327 0.0032931804 0.0039832634 0.0036658833 0.0028098312 0.0027981843 0.0030806232 0.0027253907 0.0033135626 0.00327571 0.003785265 0.004507377 0.0034096502 0.0029787123 0.003692089 0.0029728888 0.003051506 0.0031126523 0.0031446815 0.0032873568 0.0035581489 0.0028826247 0.004390907 0.0035960015 0.003761971 0.004166703 0.0029990945 0.0033485035 0.010325038 0.0038202058 0.0030340354 0.003048594 0.003738677 0.0042627905 0.0061466875 0.003354327 0.0037590591 0.0035144729 0.0030049179 0.0044899066 0.003150505 0.0028302134 0.003421297 0.0027807138 0.003989087 0.0029670652 0.0030689763 0.0040939096 0.0034649733 0.0033397684 0.003959969 0.004358878 0.0035173846 0.0029088305 0.0036396778 0.0033106508 0.0034475029 0.0030893586 0.002993271 0.0032931804 0.003523208 0.003162152 0.005838043 0.0030631528 0.0028622425 0.0034533262 0.004597641 0.0038726171 0.003511561 0.0033368566 0.003962881 0.003645501 0.003962881 0.0036746187 0.004140497 0.0037910882 0.0037182947 0.0034067384 0.003569796 0.0048043747 0.0042977314 0.0037648827 0.005453693 0.003511561 0.0032698864 0.0062078345 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.0533937 0.054387808 0.0522958 0.05419337 0.052221242 0.05116135 0.053075 0.051865995 0.052165687 0.053504806 0.05111749 0.050771017 0.053816196 0.052826475 0.052012186 0.055503253 1403.0 7.826087 10980.0 0.008652095 0.0070127505 0.0066484516 0.006193078 0.006284153 0.007468124 0.006010929 0.019672131 0.0071949 0.006193078 0.0064663026 0.0054644807 0.006557377 0.019398907 0.0071949 0.0048269583 0.0063752276 0.006010929 0.006921676 0.022859745 0.0058287797 0.0057377047 0.006557377 0.0070127505 0.0067395265 0.0071949 0.0071949 0.006557377 0.0048269583 0.006921676 0.005919854 0.0054644807 0.006830601 0.0356102 0.0063752276 0.0070127505 0.066848814 0.007377049 0.0067395265 0.03852459 0.006557377 0.036703095 0.006193078 0.0055555557 0.0067395265 0.00856102 0.035336975 0.006193078 0.037795994 0.007468124 0.0063752276 0.007377049 0.0063752276 0.00564663 0.006830601 0.0076502734 0.036247723 0.0072859745 0.0061020036 0.005919854 0.0055555557 0.00564663 0.0064663026 0.01010929 0.0063752276 0.010291439 0.006921676 0.008378871 0.011930783 0.017941711 0.0075591984 0.009653917 0.006557377 0.010291439 0.020765027 0.0061020036 0.0104735885 0.010018215 0.010928961 0.02395264 0.006921676 0.0055555557 0.0103825135 0.01010929 0.013661202 0.0072859745 0.0058287797 0.006284153 0.006557377 0.006284153 0.0064663026 0.0057377047 0.0058287797 0.0066484516 0.0066484516 0.006284153 6.1870337 0.0 0.0 0.0 9.0 343437.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 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 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36456.0 5532.0 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 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.14559698 0.007420306 0.0032752138 0.0034475934 0.0059327334 0.0037907567 0.002054191 0.0019169258 0.0077203745 0.0014380934 0.0016886824 0.0014652272 0.004505813 0.0013710568 0.0011444095 0.0035337831 0.0057539693 0.0015274754 0.0012034655 0.0009193582 0.0024691792 0.0020334416 0.0007916696 0.0008459373 0.0022952033 0.00075815135 0.0008347645 0.000694307 0.001551417 0.00057938724 0.00059055997 0.00056661834 0.003963136 0.0005522534 0.00060332887 0.0005346962 0.004054114 0.0015035338 0.000458083 0.00052831176 0.00094329985 0.00064961595 0.00057938724 0.0008235918 0.0010342781 0.0027868047 0.0006911148 0.00044371805 0.004623925 0.002421296 0.0022872228 0.009648473 0.0023893737 0.0015418404 0.0017684877 0.0010949301 0.002999087 0.0016088769 0.00067196146 0.0014285167 0.0017780644 0.001019913 0.00048202462 0.00052511954 0.0121032875 0.0043940856 0.0054634777 0.0096404925 0.0039775013 0.036161423 0.0033151165 0.0029831259 0.0038035256 0.0037412774 0.0010087403 0.0011412173 0.0023654322 0.0043605673 0.0011507939 0.0015370521 0.008674847 0.0021930526 0.0020813248 0.010208707 0.0031746589 0.014700155 0.002718172 0.0018099865 0.0019983272 0.006839323 0.0028187267 0.002791593 0.0016631446 0.004975069 0.0018961764 0.003956752 0.0056039356 0.004767575 0.0013981906 0.0035353794 0.00931329 0.0063429335 0.0034029023 0.0015705703 0.007313367 0.0043924893 0.0028187267 0.0013327502 0.0028793789 0.0016711252 0.004103594 0.0038929076 0.0026383665 0.0014205362 0.0047595943 0.004060499 0.00915368 0.0051027574 0.0014732077 0.0010598158 0.002232955 0.0012784825 0.00050437014 0.00051713904 0.0015625898 0.0027149797 0.0010693924 0.0009065894 0.004421219 0.0011906966 0.0011970811 0.008920648 0.0028283035 0.0027979773 0.0010614118 0.00059055997 0.0026958266 0.016222842 0.0021595343 0.049718767 0.001270502 0.011836737 0.0009816064 0.0007214408 0.002555369 0.00044691024 0.00074697856 0.000576195 0.0012034655 0.0009528765 0.0016519718 0.00062407827 0.0012513488 0.00059854053 0.0005554456 0.00074538245 0.000916166 0.00046446745 0.0004756402 0.00044531416 0.0008762633 0.003235311 0.0004947935 0.0028825712 0.001462035 0.0007278253 0.000576195 0.0004756402 0.0010502391 0.0004931974 0.0005554456 0.0005091585 0.00086030224 0.0004373336 0.00082997617 0.00040860366 0.0011811199 0.000753363 0.0018451009 0.000531504 0.00090499327 0.0007421902 0.0007613435 0.0015753587 0.0030517585 0.0023606438 0.0054171905 0.0007629396 0.0010358741 0.00051713904 0.0008347645 0.0007709202 0.012175112 0.0013104047 0.0024260841 0.009661242 0.0045568887 0.0011539861 0.0032081772 0.0035529365 0.0019025608 0.0018626581 0.0010135286 0.0013838257 0.0016982589 0.0010390664 0.0011316406 0.0010757769 0.0029719532 0.0012497526 0.0030996418 0.0013040203 0.0019552324 0.0008730711 0.0016376069 0.00092255045 0.003040586 0.0007134603 0.0010262975 0.0017493344 0.0015641858 0.00078847737 0.000576195 0.00090499327 0.0026208095 0.0007725163 0.0009289349 0.0011891004 0.0025713302 0.0027868047 0.0005921561 0.00078847737 0.026967842 0.006810593 0.0011970811 0.00614342 0.007271868 0.0012018693 0.00074538245 0.0007725163 0.007881582 0.0011156795 0.0019280985 0.0009800104 0.0100075975 0.0010853534 0.0021962447 0.002732537 0.011043471 0.0036279536 0.003546552 0.00431428 0.01565782 0.004663828 0.00493357 0.075052194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010830238 0.0 0.0 0.00034820056 0.00020811988 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0034940126 0.0 0.0 0.0019082992 0.0011550654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007116099 4.8027664e-06 2.3213372e-05 8.644979e-05 0.00019211066 9.765625e-05 8.00461e-06 9.605533e-06 2.0011526e-05 0.0 0.0 2.4013832e-06 1.0405994e-05 4.002305e-06 6.4036885e-06 0.0004626665 0.007869333 0.00026575307 0.00027535862 0.0007108094 0.0024662206 0.0006299629 0.0031586194 0.0013743916 0.00025134478 0.00012967469 0.0001192687 9.685579e-05 0.0008668993 0.0004906826 0.0005170978 0.0037285476 0.01605725 0.0007660412 0.001171875 0.0026687372 0.004805968 0.004528208 0.008266361 0.0037717726 0.00052270107 0.00028656507 0.00037301486 0.00041463884 0.002649526 0.0014040087 0.0014240203 0.01154505 0.018547483 0.001048604 0.0011990906 0.003102587 0.006264408 0.0026775422 0.006001857 0.002888864 0.002376569 0.0009101242 0.0010894275 0.0015616996 0.0049228356 0.0030265432 0.0032562756 0.0116178915 0.020827197 0.0015897157 0.0013631852 0.0022476946 0.010404393 0.004143987 0.0051973937 0.0028128203 0.0062572043 0.0015657018 0.0018098424 0.0026391202 0.0044609695 0.0020171618 0.0043817237 0.010249103 0.080747314 0.010940702 0.0082927765 0.01133773 0.04847592 0.034746412 0.023876954 0.015360848 0.057381053 0.0058865906 0.0067783045 0.010371574 0.018553887 0.007677222 0.031607807 0.07058786 0.051187884 0.008785861 0.007744461 0.010454822 0.024694223 0.025750833 0.015015849 0.012495197 0.041956168 0.0054335296 0.0057064868 0.007987801 0.017719006 0.009752017 0.022263223 0.042888705 0.00030177383 6.16355e-05 0.00011126409 6.723873e-05 0.00011686732 0.00012807376 5.6032273e-05 8.484887e-05 0.00017370006 3.762167e-05 4.3224896e-05 3.762167e-05 0.0001088627 7.764473e-05 9.445441e-05 0.00013847977 4307.0 13.94567 60064.0 0.007225626 0.00014984017 0.00048281832 8.324454e-05 0.0040290356 0.0006493074 8.324454e-05 0.00018313799 0.00033297815 0.0004661694 0.00096563663 0.00071590306 0.0003995738 0.020328317 0.0013985082 0.00053276506 0.018330447 0.0147009855 0.018779969 0.007974827 0.013885189 0.011654235 0.013968433 0.006892648 0.018546883 0.011221364 0.0010322323 0.0003829249 0.0011487746 0.00073255197 9.989345e-05 0.00011654235 0.0016981886 0.010422217 0.008624135 0.017348163 0.0072922218 0.021327252 0.0049946723 0.0029468567 0.0054608416 0.02347496 0.0029468567 0.0048448322 0.008857219 0.007375466 0.005294353 0.01037227 0.01646577 0.0028636123 0.0073588174 0.025489477 0.01401838 0.007824986 0.0077417423 0.0040789824 0.003762653 0.005910362 0.0016981886 0.0027470698 0.0013652104 0.0027803676 0.0027304208 0.02986814 0.00028303143 0.035395578 0.010422217 0.032282233 0.0289691 0.0602524 0.008341103 0.010888386 0.015666623 0.040356953 0.0043953117 0.0069758925 0.02074454 0.012370138 0.03855887 0.036461107 0.015500133 0.001997869 0.040590037 0.033098027 0.042105086 0.011521044 0.007974827 0.0058271177 0.010239079 0.008191262 0.0010488812 0.00034962705 0.0006326585 0.00034962705 0.00033297815 0.0003995738 5.749307 0.0 1.0 14.0 4.0 626524.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5246534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.016835745 0.0041312487 0.003674619 0.003952136 0.0035434132 0.0037082834 0.0038407838 0.0041895146 0.0036116056 0.0036871352 0.0036793663 0.003929261 0.0038325835 0.003973716 0.0038036664 0.0041787243 0.003468747 0.003473926 0.003470905 0.0037596435 0.0037104415 0.00376137 0.0038796274 0.0038856699 0.0038627952 0.0036431123 0.0038213618 0.003884375 0.0037941714 0.0039409143 0.004084636 0.004265044 0.003524423 0.0036469966 0.003613332 0.0038343098 0.0037246842 0.0035460028 0.0036551969 0.0038485525 0.0037078517 0.0037350424 0.0036482913 0.0038101403 0.0038252464 0.0038360362 0.0038170458 0.0040043592 0.00375058 0.0036409541 0.0036051318 0.0037466956 0.003911997 0.0037402217 0.0038399205 0.003930988 0.0036569233 0.0037574854 0.003922356 0.0038610687 0.003934009 0.003953431 0.0039646523 0.0041713873 0.0037769075 0.0036215323 0.0035718987 0.0039624944 0.0034980956 0.00375058 0.0038338783 0.0039866637 0.0036008158 0.0036772084 0.0036413858 0.0037760441 0.003658218 0.003833015 0.0038567528 0.003948683 0.0038217935 0.0037315898 0.003650881 0.0039050917 0.003702241 0.0038049612 0.0039111343 0.0039633573 0.0037971924 0.0037350424 0.0039452305 0.0037937397 0.0036806613 0.0038131615 0.0039771684 0.004096289 0.00367764 0.003730295 0.0035895943 0.0037963293 0.0037363372 0.0037566223 0.0036232588 0.0038947335 0.0039560203 0.0038955966 0.0038658164 0.0039335773 0.0038179092 0.0039383247 0.003986232 0.0040557194 0.0036323224 0.003757917 0.003861932 0.003815751 0.0039931377 0.0038282676 0.003901639 0.0038796274 0.004034571 0.0038472577 0.003968968 0.003948683 0.0039555887 0.004046224 0.0040811836 0.0044048815 0.003752738 0.0037777706 0.0035580876 0.004013854 0.0036284379 0.0038968914 0.0038032348 0.0040423395 0.0035378025 0.003704399 0.0036789349 0.0042866236 0.0036858404 0.0039676735 0.003841647 0.004088089 0.0038217935 0.0037432427 0.0035546347 0.0038248147 0.003783813 0.0037807918 0.0036685765 0.0038299938 0.0036185111 0.0036806613 0.0037518747 0.0038403522 0.0036180797 0.0038507106 0.003934872 0.0040557194 0.00376137 0.003967242 0.0036608076 0.0039629256 0.003770865 0.0038317202 0.0036737556 0.003887828 0.0038213618 0.0036491547 0.003830857 0.0038248147 0.0036707346 0.0038606373 0.0038541632 0.004053561 0.0038226566 0.0037928764 0.0036974936 0.0038006452 0.003913292 0.003872722 0.0038179092 0.003868406 0.0037393584 0.0037652543 0.0038420786 0.0038472577 0.003965515 0.0039271032 0.003990548 0.004132975 0.0038153196 0.0038787643 0.00376137 0.0039706947 0.0038779012 0.0037682755 0.003725979 0.0040760045 0.0038377626 0.003804098 0.0038589109 0.0037782022 0.0038347414 0.0038282676 0.0038153196 0.004059172 0.0041019 0.00398839 0.003968105 0.0038179092 0.0038403522 0.003870564 0.0037894237 0.0038882594 0.0038179092 0.0038632269 0.0038839434 0.0038649533 0.0037359057 0.0037915816 0.0039353035 0.0041709556 0.0039331457 0.003944367 0.00398839 0.0039042286 0.0038658164 0.003870564 0.0037695703 0.0039456617 0.0041385856 0.0039698314 0.0038403522 0.0039094076 0.0039107027 0.003916745 0.0037941714 0.004095858 0.0042175683 0.0042568436 0.0039249454 0.003961631 0.0041165743 0.0039858003 0.0038450998 0.0039599044 0.004293961 0.0040242127 0.0040798886 0.0040095383 0.0044765263 0.00411269 0.0043569743 0.005080763 0.0030938156 0.0 4.319162e-07 0.0 4.319162e-07 4.319162e-07 0.0 0.0 4.319162e-07 0.0 0.0 0.0 0.0 0.0 0.0 4.319162e-07 0.0008394291 3.887246e-06 5.1829943e-06 4.103204e-06 1.0797904e-06 7.990449e-06 2.1595808e-06 1.0797904e-06 2.8074553e-06 2.159581e-07 3.6712877e-06 2.159581e-07 4.3191617e-06 2.159581e-07 2.159581e-07 7.990449e-06 0.0012043983 4.103204e-06 9.286198e-06 3.887246e-06 3.2393714e-06 7.774492e-06 2.1811768e-05 1.2741528e-05 3.4553295e-06 1.943623e-06 6.4787428e-06 1.0797904e-06 7.558533e-06 2.159581e-07 4.319162e-07 3.844054e-05 0.0015568419 2.1379852e-05 1.8356437e-05 7.774492e-06 1.4901108e-05 3.3689463e-05 2.4187306e-05 1.23096115e-05 6.0468265e-06 2.8074553e-06 4.53512e-06 4.751078e-06 6.694701e-06 2.375539e-06 5.6149106e-06 4.6862908e-05 0.0007683789 1.1229821e-05 8.638323e-06 8.638323e-06 7.774492e-06 3.0234132e-05 8.638323e-06 7.3425754e-06 7.3425754e-06 3.4553295e-06 3.887246e-06 3.4553295e-06 4.751078e-06 3.4553295e-06 3.887246e-06 3.4553295e-06 0.0017373828 2.6346888e-05 5.096611e-05 1.6196856e-05 1.7708564e-05 3.520117e-05 7.364171e-05 3.4553294e-05 2.030006e-05 9.718115e-06 1.5764941e-05 6.4787428e-06 7.947258e-05 4.103204e-06 1.0365989e-05 7.320979e-05 0.0006502498 9.934072e-06 1.8356437e-05 6.2627846e-06 6.694701e-06 5.8308688e-06 4.103204e-06 6.2627846e-06 6.910659e-06 8.422366e-06 1.5548983e-05 8.638323e-06 1.814048e-05 1.015003e-05 1.8788354e-05 9.0270485e-05 0.00088974735 2.8506469e-05 2.0084102e-05 1.5980899e-05 2.0731977e-05 4.0384162e-05 8.616728e-05 6.154806e-05 1.8356437e-05 1.6628774e-05 2.6130929e-05 9.286198e-06 1.23096115e-05 1.3173444e-05 3.0234132e-06 6.4787426e-05 0.00029694237 1.0581946e-05 1.9004312e-05 3.887246e-06 7.990449e-06 6.2627846e-06 4.53512e-06 4.103204e-06 3.2393714e-06 7.126617e-06 9.934072e-06 4.967036e-06 1.015003e-05 6.0468265e-06 3.887246e-06 4.3623535e-05 0.0012251303 4.103204e-05 6.910659e-05 3.3473505e-05 6.975447e-05 0.00010063647 0.00013540573 9.977264e-05 8.055237e-05 3.304159e-05 2.8722427e-05 1.8788354e-05 3.844054e-05 3.844054e-05 2.8290511e-05 0.00017082285 0.0008988176 4.1247997e-05 6.586722e-05 3.304159e-05 1.1229821e-05 5.852464e-05 1.4685151e-05 5.9604434e-05 4.2111827e-05 3.844054e-05 6.370764e-05 3.1529882e-05 0.00012655144 4.3407577e-05 2.5483056e-05 0.00021487831 0.00040448952 1.9868145e-05 3.1961798e-05 2.0084102e-05 8.638323e-06 3.628096e-05 9.502156e-06 3.4553294e-05 2.1163893e-05 2.0947935e-05 3.8656497e-05 2.0947935e-05 4.9454404e-05 3.0018175e-05 1.29574855e-05 0.00012503973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000958638 0.00022761984 0.0003107637 0.00013022273 0.00038354157 0.00030450092 6.8242756e-05 0.00011165033 0.00062325504 8.206408e-05 3.088201e-05 5.895656e-05 0.00025180713 7.105021e-05 0.000117697164 0.00024964756 0.00062887 0.00045934287 0.00026411674 0.0002606614 0.00028571257 0.00021315063 0.00010128435 0.00039239586 0.00046236627 0.0001561377 9.804498e-05 0.00011553758 0.00039433947 0.00013540573 0.00032782438 0.0010121956 0.05923018 0.059813265 0.05889307 0.060863037 0.059157617 0.060451422 0.06064449 0.062124234 0.059997477 0.059997693 0.060753547 0.061535962 0.060711436 0.061996385 0.062266335 0.06458464 10398.0 5.7326407 59608.0 0.010552275 0.009931553 0.010518722 0.009864448 0.009981882 0.008941753 0.009730238 0.010334183 0.009545699 0.009881224 0.00962958 0.010518722 0.0100322105 0.010636156 0.011357536 0.0107703665 0.009478593 0.0092940545 0.009428265 0.009646356 0.010451618 0.010518722 0.010233526 0.010434841 0.0092940545 0.010149645 0.010938129 0.010300631 0.010300631 0.010871024 0.010569051 0.011424641 0.009344383 0.009847672 0.009478593 0.0107703665 0.009277279 0.010132868 0.0104851695 0.010099315 0.009612803 0.011089115 0.010082539 0.010283855 0.009663132 0.010132868 0.010048986 0.0104851695 0.010636156 0.010267078 0.010418065 0.011122668 0.010166421 0.010317407 0.010317407 0.010216749 0.009898 0.010334183 0.011055563 0.010334183 0.010418065 0.010803919 0.011290431 0.010988458 0.009562475 0.010686485 0.010300631 0.010350959 0.010887801 0.013286808 0.00936116 0.010216749 0.01061938 0.0121124685 0.010535498 0.010216749 0.011508523 0.0112233255 0.012095692 0.011323984 0.009931553 0.010267078 0.011172997 0.011005234 0.012129244 0.010233526 0.010199973 0.009847672 0.010686485 0.010988458 0.009914776 0.010283855 0.011156221 0.011374312 0.010367736 0.011172997 6.5817184 1.0 0.0 0.0 35.0 2316975.0 53248.0 0.0 0.0 37.0 0.0 1.0 0.0 0.0 0.0 1153334800.0 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.599891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5856862 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4289784 0.0 3.375808 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12300.0 0.0 20224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 21948.0 20224.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 20480.0 0.0 0.0 0.0 0.0