Input: 0.0059801512 0.002729544 0.0025576965 0.0029172648 0.002946251 0.0027978688 0.0027750938 0.0030932531 0.0028979406 0.002720572 0.002610838 0.0026943462 0.0030539145 0.002908293 0.002564598 0.002872405 0.0028130522 0.002701938 0.002614979 0.0029441807 0.0031098167 0.0026225706 0.0024134552 0.0027833756 0.0029151943 0.0025839224 0.0025535556 0.0028020097 0.0031588173 0.012021036 0.014072852 0.0053659175 0.0034486805 0.0041581546 0.002908293 0.0032002265 0.0031367326 0.0028931096 0.0030214775 0.004077407 0.0035956823 0.00317124 0.004909038 0.0034334972 0.0034127927 0.0030856614 0.0031194787 0.0033479184 0.003804798 0.0033368762 0.0027053887 0.002995942 0.0035370197 0.0026405146 0.0026301623 0.0030408017 0.0034535115 0.003014576 0.0032651005 0.0031187886 0.0036329506 0.0035163152 0.0031539863 0.003345848 0.0031491553 0.0076496247 0.007974685 0.007889797 0.007934657 0.007980206 0.007573708 0.007808359 0.008141702 0.007705527 0.0076164976 0.0076627373 0.008688301 0.008048532 0.008103743 0.007881515 0.007989178 0.0075253975 0.007555764 0.007800077 0.0077731614 0.0075695673 0.0073231836 0.007610286 0.008034038 0.008056813 0.0028523908 0.0032547482 0.0030235478 0.0030518442 0.0027730234 0.003139493 0.0033348056 0.003074619 0.0029379693 0.00298697 0.002977308 0.004099492 0.0029724769 0.0037033458 0.0030994643 0.0032616497 0.0044362852 0.0028979406 0.0032154096 0.0026343032 0.002587373 0.003107056 0.0031222394 0.0028199537 0.0026729517 0.0031657189 0.0029931813 0.0026356836 0.0025846125 0.0029545329 0.0031719303 0.0030815206 0.0029793782 0.0030200973 0.0035867104 0.0056716544 0.0029766178 0.0030932531 0.025541078 0.0027861362 0.0025901336 0.0026902054 0.0030200973 0.0034569623 0.0024238075 0.003000773 0.0030587455 0.0028868981 0.0026639798 0.00275784 0.0031208592 0.0026957267 0.0025970351 0.002872405 0.0027826854 0.002583232 0.0024596953 0.0026184297 0.0031077461 0.0031263803 0.0026736418 0.0027999394 0.0029890405 0.0025901336 0.0025514853 0.00266536 0.0030256184 0.0029945616 0.0028254748 0.0028786163 0.0034956106 0.0033341155 0.0032022968 0.003280974 0.003327904 0.0039780256 0.0031581272 0.003368623 0.004631598 0.0035867104 0.0053293398 0.0036729793 0.0035308083 0.0028192634 0.003561865 0.0037792623 0.0031774514 0.0039041794 0.002904152 0.004358298 0.0030628864 0.00294142 0.0024624558 0.003295467 0.0034555818 0.0031726204 0.0031187886 0.0041022524 0.0032823542 0.003280974 0.0030090548 0.0032243817 0.002706769 0.0025300905 0.0026343032 0.0025935844 0.002977998 0.0028303058 0.002476259 0.0028130522 0.0029027716 0.0026867546 0.0024638362 0.0027143606 0.048786025 0.0028096014 0.0026798532 0.00303252 0.003102225 0.0027702628 0.002633613 0.0029669555 0.0031077461 0.0026018661 0.0025514853 0.0030884221 0.0030525343 0.0026094578 0.0024969634 0.0026853743 0.003004914 0.0027178114 0.002514217 0.00298697 0.003349989 0.003989068 0.0028530809 0.0031650288 0.003070478 0.0029890405 0.0032195505 0.003777192 0.003235424 0.003267861 0.0035874005 0.002767502 0.0038075584 0.0028572218 0.002697797 0.0030711682 0.003055985 0.0030718585 0.0027737136 0.0031719303 0.0031760712 0.0028385876 0.0032126491 0.0028468694 0.0035791188 0.0030953235 0.0032402552 0.0030311395 0.0033893276 0.002951082 0.002858602 0.0031222394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1092975e-05 4.6618083e-05 4.9380636e-05 4.3510212e-05 4.0402338e-05 4.9380636e-05 5.3179145e-05 3.8330425e-05 3.9021063e-05 4.5927445e-05 4.5927445e-05 4.5582125e-05 0.008519023 5.0071274e-05 4.869e-05 3.7639784e-05 0.00015470297 0.00016160935 0.00014330744 0.00017024233 0.07104976 0.04736984 0.00015642957 0.00016506255 0.00015228573 0.00015366702 0.00015746552 0.00015608425 0.020987807 0.00017162361 0.00015435765 0.00013847297 0.00012396957 9.496276e-05 9.1509566e-05 9.876127e-05 9.2545524e-05 8.943766e-05 9.5998716e-05 8.943766e-05 9.634404e-05 9.2545524e-05 8.9782974e-05 9.185489e-05 0.00917133 9.7034674e-05 9.738e-05 9.530808e-05 4.420085e-05 4.9380636e-05 5.145255e-05 4.5236808e-05 5.076191e-05 5.3524465e-05 5.076191e-05 4.834468e-05 5.2833828e-05 4.765404e-05 4.420085e-05 5.145255e-05 0.0035139674 4.5582125e-05 4.6963403e-05 4.6963403e-05 0.00047584975 1.208617e-05 1.2431488e-05 3.7985105e-06 7.597021e-06 5.179787e-06 1.553936e-05 6.5610634e-06 3.4531913e-06 2.0719149e-06 4.4891485e-06 4.8344677e-06 0.00013640105 4.1438298e-06 8.632978e-06 4.1438298e-06 0.00042370657 1.6920638e-05 1.8647233e-05 1.8647233e-05 0.0003826136 0.00025311892 3.3495955e-05 1.7611275e-05 1.7956594e-05 1.2431488e-05 2.7280212e-05 2.1064467e-05 0.0008228955 1.208617e-05 2.3481702e-05 1.968319e-05 0.00025967997 2.5553616e-05 0.00037294466 0.00036914615 0.00035464275 0.00017576743 0.00039400914 3.3495955e-05 3.8675742e-05 3.0388084e-05 2.2445744e-05 3.97117e-05 0.0010007349 2.417234e-05 0.00036949146 2.5208297e-05 0.00012742275 0.002238704 0.00011050212 0.0002558815 0.00020857276 0.00013018532 0.00013778234 0.0001118834 0.002238704 0.00010359574 0.000106703614 0.000106703614 0.000891614 0.00010325042 9.910659e-05 0.00010152382 0.0014952319 0.01369294 0.0019973258 0.0016551146 0.0017846093 0.0016806682 0.0016433737 0.0018460761 0.0136818895 0.0018339899 0.0014945412 0.0013111767 0.0014828003 0.0014907427 0.001635086 0.0014865989 0.0018201772 0.009325343 0.001427204 0.0015591158 0.0018260475 0.001564641 0.0018522919 0.0010314683 0.009391299 0.0010732518 0.0026710434 0.001813616 0.0019306793 0.0014013051 0.0016982795 0.0013398383 0.00052212254 0.00049035315 0.0018170692 0.00074968784 0.0005307555 0.00033634083 0.0019237729 0.00076660846 0.00043406614 0.00022100424 0.003664872 0.0012265736 0.0002147885 0.00023205446 0.00078974484 0.00022445743 0.0009955551 0.00097310933 0.0012061998 0.0008232408 0.0010145477 0.0014613905 0.0011744304 0.00065990485 0.000453404 0.00042198 0.0028233293 0.0011840994 0.0007451987 0.0003795057 0.0007451987 0.0004976049 0.0019185931 0.0012901123 0.0017321208 0.0020518862 0.0014686423 0.001612295 0.0017852999 0.0018833706 0.0013809312 0.0012024012 0.0016136763 0.0018091269 0.0011550925 0.0013343131 0.0011954948 0.0013191191 0.039223075 0.039096687 0.04591743 0.04337968 0.043056805 0.04060435 0.042032935 0.043861054 0.040218282 0.03944235 0.045325898 0.04492015 0.03912362 0.039545946 0.044823803 0.044109683 5017.0 40.594578 203663.0 0.0013846403 0.0015221223 0.0014337411 0.0013109893 0.0014141008 0.0015859533 0.0016154137 0.0018510971 0.0013993705 0.0013306296 0.0014926619 0.0014386511 0.0015515827 0.0014386511 0.0016596044 0.0015859533 0.0012618885 0.0014435612 0.0013944604 0.0014632015 0.0013748201 0.0013993705 0.0014091907 0.0016006834 0.0015761331 0.0013306296 0.0017136151 0.001571223 0.0014632015 0.0017921763 0.001973849 0.001772536 0.0012815289 0.035514552 0.036393452 0.035764966 0.03536234 0.03603993 0.03546545 0.035784606 0.035686404 0.035494912 0.035661854 0.035706043 0.035838615 0.03559802 0.036319803 0.03560293 0.03560784 0.03543108 0.035509642 0.03546545 0.035205215 0.03525432 0.03541144 0.03559311 0.035494912 0.03546545 0.001296259 0.0012667986 0.001296259 0.0015761331 0.0013257194 0.0014141008 0.0015614029 0.0018510971 0.0013797303 0.0014386511 0.0013846403 0.0018903777 0.001703795 0.001846187 0.0015073922 0.001571223 0.0016252338 0.0014288309 0.0014190108 0.0013404497 0.0012226079 0.0015957734 0.0014141008 0.0012422482 0.0014091907 0.0017283454 0.0016841547 0.0014288309 0.0014386511 0.0014975719 0.0014730216 0.0017430756 0.0015515827 0.001630144 0.0017234352 0.003530342 0.0014828418 0.001571223 5.304008 0.0 0.0 0.0 17.0 1448960.0 1458176.0 0.0 0.0 4.0 0.0 1.0 0.0 0.0 0.0 1543476500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 600064.0 1536.0 4096.0 4.0 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 0.0 512.0 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 -839680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -600064.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2587311 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7932305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.2955947 0.0 5.9827275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -839680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -602112.0 0.0 7168.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 606232.0 6940.0 1449984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 606232.0 0.0 0.0 0.0 0.0


Input: 0.017230049 0.0044356533 0.003942803 0.0043436545 0.004231942 0.00436994 0.003969088 0.0037325202 0.0043370835 0.0038968036 0.0038113764 0.0043765116 0.0038179476 0.0037588056 0.0035419515 0.0044027967 0.0036602356 0.0039230892 0.0038376616 0.0037193776 0.0036996636 0.0035353801 0.0038902324 0.0040085167 0.0040150876 0.0038376616 0.003765377 0.0038968036 0.0038310904 0.0038376616 0.0038376616 0.004021659 0.0039099464 0.0036930921 0.003903375 0.003666807 0.005316213 0.0039362316 0.0042647985 0.0037588056 0.004021659 0.0038310904 0.003942803 0.004409368 0.0038968036 0.0039230892 0.0038179476 0.003745663 0.003666807 0.0036273787 0.0039888024 0.003883661 0.003686521 0.003883661 0.0038113764 0.0035222373 0.003863947 0.0037193776 0.0038179476 0.004153086 0.003666807 0.003883661 0.003725949 0.0037522342 0.003824519 0.0038968036 0.0038705184 0.0037390916 0.0043765116 0.0041596573 0.0038179476 0.003824519 0.00392966 0.0037325202 0.0038179476 0.0035813795 0.004310798 0.0036602356 0.0036076647 0.0037193776 0.003844233 0.003844233 0.0037916624 0.0038705184 0.0039888024 0.003686521 0.003686521 0.003765377 0.00407423 0.003785091 0.0037982336 0.0036930921 0.0037325202 0.003495952 0.0039888024 0.0035748081 0.0039756596 0.004153086 0.0037785196 0.0038508044 0.0039493744 0.0038508044 0.003995374 0.0035682367 0.003745663 0.004061087 0.0035485227 0.0038310904 0.0041268007 0.0037982336 0.004133372 0.003903375 0.0036602356 0.003883661 0.003883661 0.003725949 0.0038902324 0.003982231 0.0036076647 0.0036930921 0.0040545156 0.0036799496 0.0035156661 0.003804805 0.003916518 0.0034696667 0.0037193776 0.0036799496 0.0035945221 0.0039493744 0.0035879507 0.003725949 0.0037982336 0.003804805 0.0036602356 0.003903375 0.0039099464 0.004153086 0.0036273787 0.004659079 0.0038113764 0.004179371 0.003666807 0.0039625173 0.0040808013 0.0040939436 0.0038179476 0.0037719482 0.0038705184 0.003686521 0.0038902324 0.0038179476 0.0035945221 0.004100515 0.0036996636 0.003804805 0.0037785196 0.0040676584 0.003955946 0.0038770896 0.003883661 0.0038179476 0.0035879507 0.0036470927 0.003863947 0.0036010935 0.0037193776 0.003863947 0.0035682367 0.004139943 0.0038902324 0.0035945221 0.0040413733 0.0037719482 0.0037522342 0.0037785196 0.0037719482 0.0038376616 0.0038113764 0.0036996636 0.0036602356 0.0035879507 0.003883661 0.0040282304 0.004021659 0.0038902324 0.003844233 0.0038310904 0.0039625173 0.0038179476 0.0038310904 0.0040479447 0.0041596573 0.004606508 0.0036602356 0.0036536641 0.0040150876 0.003942803 0.003942803 0.0040282304 0.003844233 0.003883661 0.003916518 0.0037128062 0.0036076647 0.0036208075 0.003969088 0.0036273787 0.0038705184 0.003725949 0.0040676584 0.0039756596 0.0039230892 0.0040873727 0.0038902324 0.0038705184 0.0037193776 0.003745663 0.0038902324 0.0033645253 0.0036470927 0.003863947 0.003804805 0.003745663 0.003785091 0.0036536641 0.0035288087 0.0037982336 0.0034828093 0.0036602356 0.00392966 0.0036536641 0.0037193776 0.0035485227 0.0037719482 0.0038310904 0.003745663 0.003745663 0.003883661 0.0039362316 0.0039888024 0.003916518 0.0036996636 0.003725949 0.0039493744 0.003686521 0.0038573756 0.004061087 0.003804805 0.0039625173 0.003863947 0.003706235 0.0041268007 0.0035945221 0.0038508044 0.004061087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046569407 0.00011625744 0.00030891263 0.00016276042 0.00031555592 0.00010961416 0.00021922831 0.00015943877 0.0002889828 2.3251489e-05 2.6573129e-05 4.982462e-05 0.00011957908 2.6573129e-05 7.6397744e-05 0.00014283057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027137809 0.00016608206 0.00068093644 0.00015943877 0.0004583865 0.00015943877 0.00025244473 0.00023915817 0.0007174745 5.978954e-05 6.311118e-05 0.00012622237 0.00039195365 6.6432825e-05 0.0002092634 0.0003388074 0.0018435109 0.00014283057 0.0007872289 0.00020262011 0.00055471406 0.00017936862 0.00036538052 0.00029562606 0.000906808 6.975447e-05 6.311118e-05 0.00016276042 0.00049160287 8.304103e-05 0.000259088 0.0003952753 0.0035375478 0.0005248193 0.0009200946 0.0005879305 0.0008935215 0.00060121703 0.0007672991 0.0006576849 0.00095663266 0.00049824617 0.00048163798 0.0006443984 0.0007108312 0.0005082111 0.0006543633 0.0006610066 0.061742667 0.060583413 0.061586548 0.059679925 0.05974636 0.059842687 0.060895648 0.059072066 0.059410874 0.06156994 0.060148276 0.06086243 0.060769424 0.060795996 0.058743224 0.06053691 728.0 5.6675825 4126.0 0.009452254 0.007270965 0.008482792 0.009936985 0.016965585 0.0075133303 0.01236064 0.009209888 0.010421716 0.014299564 0.011148812 0.01236064 0.01017935 0.008967523 0.010664081 0.009452254 0.009694619 0.0077556954 0.01236064 0.013330102 0.008967523 0.010906447 0.011391178 0.008725158 0.009694619 0.008240427 0.01017935 0.009936985 0.008967523 0.011875909 0.008725158 0.011391178 0.010906447 0.010906447 0.009209888 0.008240427 0.011391178 0.012603005 0.011875909 0.01017935 0.011148812 0.009936985 0.01017935 0.009936985 0.01236064 0.0135724675 0.009694619 0.012845371 0.008482792 0.005574406 0.011875909 0.011391178 0.008967523 0.008240427 0.009694619 0.0135724675 0.009694619 0.011391178 0.011391178 0.010421716 0.012603005 0.01017935 0.009452254 0.008725158 0.011148812 0.012118274 0.010421716 0.01017935 0.010664081 0.012603005 0.008967523 0.008482792 0.012845371 0.012845371 0.010664081 0.009452254 0.012845371 0.011391178 0.011148812 0.009936985 0.008967523 0.011391178 0.010906447 0.007270965 0.01236064 0.0135724675 0.009452254 0.008482792 0.009452254 0.010906447 0.008482792 0.009452254 0.010421716 0.006543868 0.010421716 0.008725158 6.5630236 0.0 0.0 0.0 4.0 152176.0 380928.0 0.0 0.0 5.0 0.0 1.0 0.0 0.0 0.0 1365764200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 43520.0 512.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 -151040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17.45448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -372379.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 268.0 372736.0 552.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 372836.0 0.0 0.0 0.0 0.0


Input: 0.1765141 0.020247823 0.013267058 0.006699254 0.011104546 0.006330498 0.0032036367 0.0028418608 0.011628015 0.0020461862 0.0022334724 0.003052412 0.009150256 0.0017902676 0.0016634716 0.013852181 0.006199049 0.0012970425 0.0014005733 0.0052288845 0.0035944944 0.0038678623 0.0014936347 0.0014878183 0.002955861 0.0008910624 0.0010120422 0.0010923075 0.0024463502 0.0010643891 0.0014436141 0.0014703693 0.0047368226 0.0012563282 0.0011109199 0.0010690422 0.010000605 0.0013354303 0.0019438189 0.0010143687 0.0022986152 0.0009306135 0.0008643073 0.0017227982 0.0017053492 0.0015611041 0.0009876136 0.00096900127 0.0037678212 0.0020264108 0.0022916356 0.0066120084 0.002641779 0.002083411 0.002202064 0.0021636763 0.0030989428 0.0033141472 0.0020089617 0.005271925 0.0033467186 0.0036177598 0.0023905134 0.005223068 0.0047670673 0.0031140654 0.002131105 0.0029244528 0.006528253 0.011712934 0.0045367405 0.003060555 0.0064421715 0.0039993115 0.0015773898 0.0027441464 0.00945038 0.0057756198 0.002249758 0.0017390839 0.008261521 0.003060555 0.0021124925 0.004311067 0.002729024 0.0049159657 0.0051637413 0.00442972 0.0022206763 0.0037108213 0.0010574096 0.0019042678 0.0017344308 0.0043541077 0.0030617183 0.003366494 0.0012167771 0.0027871872 0.0013005323 0.0015994919 0.0021497172 0.0039260257 0.0059233545 0.0012679609 0.003907413 0.0022043907 0.007079642 0.00085732766 0.0021171456 0.0020043086 0.0024219216 0.0023602685 0.0022660438 0.0007363479 0.009444564 0.0025010237 0.010854443 0.011184811 0.00169139 0.001621594 0.0018228391 0.0014215121 0.00074449077 0.0021508804 0.0019740637 0.0033094941 0.0019856964 0.0018996147 0.0033862698 0.0021764722 0.00088524603 0.012629588 0.0053161294 0.009535298 0.0011295321 0.0011993281 0.0024603093 0.012260832 0.0012318996 0.043411955 0.0013726548 0.010453116 0.0009562053 0.0008829195 0.0013749814 0.0005618579 0.00053277623 0.0006072253 0.001159777 0.00082591944 0.00065840903 0.00052347005 0.0009911034 0.0008759399 0.00055604154 0.00065724575 0.0010457769 0.0006746948 0.0007049397 0.0009364298 0.0012958793 0.0010527564 0.0006211845 0.00089338893 0.0009934299 0.00094108284 0.00071657234 0.0006281641 0.0011853689 0.0006630621 0.0005827967 0.00077008264 0.0010166952 0.00058977626 0.0007526336 0.0007712459 0.001661145 0.00081312354 0.00059908244 0.0009120012 0.0011981649 0.0012272465 0.0021031864 0.0024521665 0.0017844513 0.0012388792 0.0011853689 0.0006618988 0.0011842056 0.0011178994 0.0010818382 0.0015855327 0.008265011 0.0036072903 0.0031094123 0.0028279016 0.0025929217 0.00087128684 0.0025754727 0.00781599 0.002724371 0.0025905953 0.00095969514 0.0015808796 0.002232309 0.00057000073 0.0027045954 0.0016937165 0.0018019003 0.0009957564 0.0012935527 0.00096202164 0.0013168181 0.0005036945 0.0009527155 0.00083638885 0.002733677 0.0014622264 0.0007677561 0.0016948797 0.0017809615 0.0015866959 0.0009096747 0.000985287 0.0026720238 0.0012353894 0.0010108788 0.000898042 0.0027394933 0.0020613088 0.0006595723 0.0007072662 0.016648674 0.0049671493 0.0007154091 0.0053114765 0.004917129 0.0006525927 0.0007817153 0.0011085933 0.0038806582 0.0020368802 0.0015366755 0.0012563282 0.002584779 0.00091665424 0.0032711064 0.0026173503 0.0076100915 0.0043959855 0.002270697 0.0021915948 0.008163807 0.0023428195 0.0035328413 0.04472761 0.014319809 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0047546243 0.0 0.0 0.0 0.0 1.7480235e-05 1.1653491e-06 0.0 0.001154861 0.0 4.0787218e-06 2.3306982e-06 8.740118e-06 0.000108960136 1.2236165e-05 5.826745e-06 0.0010872707 0.0 0.0 0.0 0.0 2.3306982e-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 0.001038326 1.7480236e-06 4.6613964e-06 4.6613964e-06 1.2818839e-05 8.1574435e-06 7.0503615e-05 4.777931e-05 5.8267455e-07 2.3306982e-06 5.8267455e-07 0.0 0.0 5.8267455e-07 0.0 5.8267455e-07 0.0025614372 0.0006153043 3.9621867e-05 4.020454e-05 7.399966e-05 1.8645585e-05 6.292885e-05 0.0004684703 0.000769713 5.826745e-06 2.9133726e-06 5.826745e-06 5.2440705e-06 2.3889655e-05 1.2236165e-05 6.700757e-05 0.014535981 0.0015108751 0.0006788158 0.0005885013 0.0030549625 0.0019426369 0.00022840842 0.0003612582 3.2629774e-05 1.4566863e-05 2.447233e-05 0.00052032835 0.00017538504 3.2629774e-05 3.2629774e-05 0.00013226712 0.0130175315 0.0015190325 0.0009421847 0.00037174634 0.0019274873 0.0011828293 0.00080117746 0.002096463 0.00091596437 2.3889655e-05 3.7873844e-05 9.788932e-05 4.4283264e-05 4.777931e-05 0.00053664326 0.00030357344 0.032385632 0.0020871402 0.0021757067 0.0011950654 0.0024297528 0.0012154591 0.004723742 0.0067269774 0.00058442255 0.00045332077 0.0007574769 0.001632654 0.0018208579 0.00072368176 0.0013815213 0.00056577695 0.015457773 0.0009934601 0.0014001669 0.0004667223 0.0015976935 0.0005255724 0.0024087764 0.0021168566 0.0002627862 0.00028492784 0.00022782575 0.00019111724 0.0011309712 0.0006083122 0.00046147822 0.0005051788 0.024682675 0.0016134258 0.0021063683 0.0013016949 0.006199657 0.0017206379 0.007507761 0.003845069 0.00041719497 0.0003793211 0.00056869036 0.00052265904 0.0031155606 0.00047429706 0.00045914753 0.0011717585 0.0066104424 0.00039505333 0.00063686323 0.00064210733 0.0010546409 0.0004113682 0.0013896787 0.0008705157 0.00022899109 0.00014799932 0.00013751119 0.00026220354 0.00032105367 0.0003128962 0.0004370059 0.00046147822 0.006189169 0.0013215059 0.0012247819 0.016705278 0.0013628757 0.0015219458 0.0016617877 0.0014065763 0.0015668118 0.0011507822 0.0011612703 0.0011542782 0.0012073016 0.001262073 0.001265569 0.001604103 0.013615356 0.0011193177 0.0014689225 0.002325454 0.0031808203 0.0014019149 0.0011956481 0.002014306 0.0052440707 0.0006922173 0.00049469067 0.001312183 0.0021780373 0.0008926574 0.0016746066 0.0053425427 0.0814544 0.0127127925 0.009876333 0.012742509 0.026825752 0.023837797 0.011071399 0.018503413 0.052127227 0.004119509 0.0041189264 0.006732221 0.019018497 0.006974614 0.0206663 0.046020217 0.055409435 0.011365066 0.011223476 0.011559097 0.023456728 0.020877229 0.01033315 0.015555079 0.039780937 0.0036685187 0.0042721694 0.0063389163 0.015913423 0.007281101 0.017662613 0.035279196 0.0029489158 0.0017118978 0.0017416142 0.0037314477 0.0016518823 0.0016815987 0.0016804333 0.0016472209 0.001679268 0.0017375355 0.0016635357 0.0020440223 0.0018231886 0.0019338968 0.0025433742 0.0019997389 2967.0 12.146613 36039.0 0.024001775 0.002164322 0.0035794557 0.002663781 0.01265296 0.0025805377 0.002164322 0.0030799967 0.005383057 0.003440717 0.0024417993 0.0028302672 0.004606121 0.0044396347 0.0030522489 0.0021088265 0.015094758 0.012319987 0.012597464 0.014234579 0.013291157 0.012625212 0.013485391 0.013263409 0.013207913 0.016759621 0.013263409 0.016926108 0.013790616 0.012902689 0.011987014 0.013041427 0.0038291852 0.0066594523 0.0032187353 0.008074586 0.014068093 0.006492966 0.0075196316 0.0083798105 0.009905935 0.009434224 0.002081079 0.0027192764 0.0072421543 0.00474486 0.005605039 0.004245401 0.016704125 0.0054385527 0.005383057 0.013124671 0.0071034157 0.0055495435 0.0083798105 0.01362413 0.0069369297 0.005494048 0.0033297262 0.0034684648 0.004689364 0.00316324 0.003246483 0.022225922 0.0038291852 0.027692223 0.0066317045 0.016093677 0.014817282 0.050195623 0.013069175 0.007769361 0.010988096 0.024945198 0.013041427 0.00413441 0.019728627 0.010932601 0.024750965 0.027775465 0.011265573 0.0019423403 0.029606815 0.020089347 0.04300896 0.014317823 0.0053553097 0.005327562 0.0066317045 0.006853686 0.0028025196 0.032159604 0.004245401 0.0024695469 0.0025805377 0.0028857626 6.1622276 0.0 0.0 0.0 3.0 859648.0 884736.0 1.0 0.0 504.0 1.0 1.0 0.0 0.0 0.0 1530079200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 581632.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581632.0 0.0 30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.79917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7656097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1963819 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6754565 0.0 6.5255404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 195982.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581597.0 0.0 30276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 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 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 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 3.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 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 -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 2.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -1.0 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 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 770252.0 30276.0 819200.0 0.0 0.0 0.0 0.0 28980.0 851968.0 28.0 601024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 674640.0 0.0 0.0 2180.0 585728.0 0.0 0.0 0.0 0.0


Input: 0.09423065 0.010540906 0.0050571105 0.004603662 0.010445218 0.0039265193 0.0048440197 0.0034965512 0.0108120665 0.0028734384 0.003726305 0.003520284 0.00826205 0.004393096 0.0069087753 0.028016593 0.030993294 0.0035061452 0.001969824 0.002365455 0.004219897 0.0028741958 0.001981943 0.0017075005 0.0035111948 0.0016658419 0.0020390027 0.0021516073 0.0027903735 0.002724982 0.0032599804 0.0033329462 0.0053464486 0.0018097537 0.001800917 0.0015941384 0.010395479 0.0020440521 0.0013626172 0.0013121219 0.002682061 0.0023041032 0.0015441481 0.0015956534 0.0018759026 0.0015130935 0.0016999263 0.0016168614 0.017777396 0.0067401207 0.0022738061 0.002753512 0.0029014633 0.0020559186 0.0019127643 0.0018779224 0.0028545028 0.0041244607 0.0018958483 0.0038065927 0.0025275452 0.002040265 0.0018355063 0.0023083955 0.0036369283 0.0024053464 0.001910492 0.0025106294 0.0044105174 0.0069686123 0.004004787 0.00244852 0.0026570659 0.0018685808 0.0015767176 0.0032453367 0.010495713 0.0050250455 0.0028507155 0.002156152 0.0057880306 0.0025217382 0.0023995396 0.004239338 0.0028502105 0.005124774 0.007457407 0.004751361 0.0023389452 0.0023035982 0.0016741736 0.0025351194 0.0025515305 0.004739747 0.003623547 0.003084509 0.001986235 0.0044594975 0.0018695907 0.0022498209 0.002773205 0.0037333744 0.0052484875 0.0018779224 0.0031827225 0.0028464233 0.0030236621 0.001643119 0.0027633586 0.0019864875 0.0025644067 0.0033122431 0.003061786 0.001757491 0.0035094274 0.002784314 0.008060069 0.00775331 0.002355356 0.0024964905 0.0024245346 0.0018902938 0.0017302235 0.001681243 0.0026050557 0.0036783344 0.0026893828 0.002212959 0.005806714 0.0036720226 0.002128127 0.01144856 0.004585736 0.007031479 0.0021493349 0.0019294277 0.0030241671 0.024451116 0.0023980245 0.023563912 0.0022374494 0.008525131 0.002187459 0.001707753 0.0022770884 0.0017716297 0.0015807572 0.0018549471 0.0019662892 0.0017075005 0.0016075198 0.001479009 0.0018158131 0.0015471778 0.0014810289 0.0013638797 0.0016880599 0.0016724063 0.0016443814 0.0013997314 0.0016676092 0.002386663 0.0010937295 0.0011298336 0.0014239692 0.0009947586 0.0009225502 0.0010275806 0.0014406326 0.0009871842 0.0010889324 0.0009972834 0.0013550429 0.0010255608 0.0010745412 0.0015057717 0.0037285774 0.0011692201 0.0011018087 0.0013035377 0.0015077915 0.001284602 0.0022947616 0.001674931 0.0019357397 0.0015183955 0.0014431573 0.0012098688 0.0015787374 0.001316919 0.0016256981 0.0015979257 0.0061874487 0.005400479 0.0030226521 0.0034735757 0.0054264837 0.0012341066 0.0026717095 0.0036975227 0.0027015018 0.002574506 0.0016766984 0.0014264939 0.002459629 0.0010843879 0.0018190953 0.001425989 0.002654036 0.0019127643 0.0020478393 0.0018551995 0.00185015 0.0012404185 0.00152294 0.0013727164 0.0024472575 0.0026310608 0.0013103546 0.0020006262 0.0018897888 0.0011747745 0.0011846211 0.001244963 0.0028539978 0.0023043556 0.0016249407 0.0015544996 0.0025830902 0.0033337036 0.0014232117 0.0014110928 0.013035882 0.0036702552 0.0014504791 0.0040628565 0.004733435 0.0013010129 0.001463103 0.0016966441 0.004586241 0.0028014826 0.0035523486 0.0046849595 0.0018726204 0.0014340682 0.0025323422 0.0072385096 0.0038096225 0.0038661773 0.0022536078 0.0047182865 0.0023828761 0.0019728537 0.020532928 0.039219495 0.032811336 0.015770752 1.2377538e-05 1.7682197e-06 1.263014e-06 1.6419183e-06 2.147124e-06 4.0416453e-06 1.4398361e-05 3.410138e-06 2.2734255e-06 2.5260283e-07 2.5260283e-07 5.0520566e-07 1.8945211e-06 7.5780844e-07 0.0027051235 0.00024894008 1.3387949e-05 1.3893155e-06 0.0 0.0 3.7890422e-06 5.6835634e-06 7.312852e-05 1.3514251e-05 4.546851e-06 4.0416453e-06 4.0416453e-06 6.9465777e-06 8.841099e-06 1.0609318e-05 0.004966803 1.073562e-05 2.2102748e-05 2.2102748e-05 1.9576719e-05 1.8566307e-05 2.4755076e-05 1.8061102e-05 0.00022544802 1.5787677e-05 1.7176992e-05 1.7555896e-05 1.7555896e-05 1.4398361e-05 1.0988223e-05 1.0356715e-05 0.003187595 0.00027243214 2.9933433e-05 2.5386584e-05 1.3514251e-05 1.4272059e-05 7.8306875e-05 5.0899467e-05 0.00013299538 9.598907e-06 9.2200025e-06 7.704386e-06 9.977812e-06 1.2630141e-05 1.250384e-05 1.3009045e-05 0.0014898514 2.2986856e-05 6.820276e-06 1.7303293e-05 1.1240825e-05 1.2630141e-05 5.102577e-05 3.6374808e-05 3.3090968e-05 8.222222e-05 9.346304e-06 9.093702e-06 8.588496e-06 6.3150706e-06 5.304659e-06 8.462194e-06 0.0026557397 5.6961937e-05 4.6226316e-05 4.1553165e-05 3.2585765e-05 2.9049324e-05 5.6835634e-05 3.839563e-05 0.00024262501 3.334357e-05 2.4123568e-05 2.2229047e-05 2.2734253e-05 2.0208225e-05 1.7429595e-05 2.2607952e-05 0.0013307116 0.00050874206 7.2749615e-05 0.012096391 0.007608523 0.0026394469 0.0021958763 0.00025538146 5.1278374e-05 1.1367127e-05 8.462194e-06 0.00019639869 1.250384e-05 6.567673e-06 8.335893e-06 0.024730321 0.0017612731 0.0005480218 0.0005478955 0.0008068134 0.0007729646 0.0001434784 0.0013550879 0.0007175183 4.3447686e-05 4.1679465e-05 4.3321383e-05 0.0003842089 2.2229047e-05 0.00013627922 1.6166581e-05 0.0024888956 0.0021120121 0.00020397677 0.0011441645 0.0008059293 0.0011105683 0.00036968422 0.0020227171 0.0013154292 0.00045443248 0.00012769073 0.00018465266 0.000843946 2.9301927e-05 5.9614264e-05 2.589179e-05 0.0034165794 0.0030852908 0.0003117119 0.001047165 0.0005979109 0.0009237685 0.00048196618 0.0017996688 0.0010421129 0.00046390507 0.00015762416 0.0001518143 0.0006748284 0.00010230414 0.00014928827 6.4666325e-05 0.0023965694 0.0033699742 0.0010243044 0.00047918755 0.0009327359 0.000652852 0.00028973544 0.001130145 0.0005677248 0.000284936 0.00016090799 0.0001249121 9.82625e-05 0.00016330772 0.0001432258 0.0001250384 0.00028203105 0.0071213786 0.0020848573 0.0014121761 0.008045274 0.0020475984 0.0015580542 0.0026844102 0.002071722 0.0019857108 0.001222345 0.0010764669 0.0016133742 0.0015854615 0.0010259463 0.0022461442 0.0017948693 0.013970704 0.004328476 0.003498928 0.0045208326 0.0039620753 0.0033402934 0.0051119234 0.0034881923 0.007555098 0.0023036115 0.0020861204 0.002393159 0.0032803002 0.0028057857 0.005861396 0.007023369 0.07669262 0.02328998 0.017595302 0.016440528 0.022651652 0.027150003 0.014874517 0.021119868 0.057887346 0.010621317 0.0058264104 0.0093636075 0.022905266 0.012026042 0.022200504 0.032526277 0.04261561 0.017008001 0.010782604 0.011249414 0.014442061 0.017971301 0.009965939 0.015323771 0.03307556 0.0077713258 0.0061319335 0.0065242257 0.014314876 0.008097183 0.014126813 0.02641935 0.0057249903 0.0054115104 0.0037694655 0.0040744836 0.003918501 0.0039730635 0.0041410443 0.0046273046 0.0043539885 0.0042845225 0.004417139 0.004138013 0.0038108923 0.0038329952 0.003783485 0.006354224 18058.0 10.878558 196445.0 0.044908244 0.0053959126 0.0050599403 0.0040163915 0.010598387 0.007544096 0.004138563 0.004769783 0.006032223 0.0044999872 0.0035022525 0.0040214816 0.0051973835 0.0052075647 0.005171931 0.0081854975 0.022087608 0.012222251 0.010506758 0.009717733 0.010404948 0.007930973 0.0076102726 0.007956426 0.00979409 0.008811627 0.008450203 0.008353483 0.009040698 0.008333121 0.007645906 0.0072081243 0.008689455 0.007213215 0.0061696656 0.008664003 0.009677009 0.005889689 0.010155514 0.0060933083 0.005803151 0.0060271323 0.003945125 0.0042251013 0.006658352 0.004830869 0.0064394614 0.006775433 0.013408333 0.006770343 0.009096694 0.010593296 0.0098399045 0.0070808623 0.008266945 0.008226221 0.0068212477 0.005930413 0.005645346 0.0091323275 0.0064190994 0.008867622 0.009305404 0.012863652 0.0064954567 0.024780473 0.009402122 0.0168495 0.022133421 0.03971595 0.012196798 0.011947365 0.013403242 0.024393596 0.0075135534 0.0074422867 0.020647 0.013627224 0.021563288 0.025085902 0.019613633 0.006490366 0.025930922 0.018076306 0.032772534 0.01875334 0.007768078 0.007457558 0.010486396 0.008389116 0.0057776985 0.0068314285 0.0062612947 0.0069892337 0.006174756 0.005182112 6.312211 1.0 35.0 0.0 15.0 3960760.0 3973120.0 1.0 267.0 151.0 1.0 0.0 1.0 1.0 0.0 1524656800.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 11.0 5.0 1.0 5.0 1.0 1947136.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1930240.0 0.0 0.0 0.0 0.0 0.0 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 -1947136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.626124 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.178781 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.051086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7567434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1930054.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1946907.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 -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 -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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 2.0 -1.0 1.0 1.0 2.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 -3.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -2.0 1.0 1.0 0.0 -1.0 1.0 1.0 0.0 -3.0 2.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 -1.0 -3.0 0.0 0.0 1.0 0.0 2.0 -1.0 1.0 -1.0 2.0 0.0 -1.0 0.0 2.0 0.0 1.0 1.0 0.0 2.0 -1.0 -1.0 -1.0 -1.0 -4.0 2.0 0.0 0.0 2.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -2.0 0.0 3.0 1.0 3.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -3.0 1.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 -3.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 1.0 1.0 2.0 9744.0 3870752.0 80.0 3880496.0 0.0 0.0 0.0 0.0 13240.0 3947520.0 52856.0 3919872.0 56.0 3865472.0 0.0 0.0 0.0 0.0 24.0 3865680.0 64.0 3865528.0 0.0 0.0 616.0 1953792.0 0.0 0.0 0.0 0.0


Input: 0.06287903 0.005805865 0.0042941994 0.005016588 0.0043923017 0.00374126 0.0034870862 0.0037590968 0.0062250285 0.003879495 0.0037680152 0.0035138414 0.003910709 0.004053403 0.0033087186 0.004682149 0.0038170663 0.0033533105 0.003322096 0.0033889841 0.00374126 0.0045082406 0.0030902184 0.0031615654 0.0032819635 0.0032373716 0.0030054937 0.0031571062 0.0031571062 0.0031169734 0.0034023616 0.0030054937 0.004169342 0.0033042594 0.0035049228 0.0032775044 0.0038081477 0.0032908819 0.0033979025 0.0031481879 0.0033979025 0.0031437287 0.0030946776 0.0032150757 0.0032819635 0.003250749 0.0033310147 0.003317637 0.0035628923 0.003032249 0.0031704837 0.0038705764 0.0035851884 0.0036208618 0.003108055 0.0032061574 0.0031348101 0.003603025 0.002987657 0.0037813927 0.0036565354 0.003339933 0.0031571062 0.0033622289 0.0060555795 0.003879495 0.0035183006 0.0036966682 0.0047133635 0.0055606095 0.0033443922 0.0036386987 0.0035183006 0.003223994 0.0033131777 0.003223994 0.0033042594 0.003968679 0.0033577697 0.003250749 0.0050567207 0.003295341 0.0032195349 0.004450271 0.0033889841 0.003553974 0.0041559646 0.0042451485 0.0033131777 0.0031481879 0.003201698 0.0031838613 0.003317637 0.003509382 0.003268586 0.0035807292 0.003103596 0.0041470462 0.0033354738 0.0034023616 0.0038036886 0.0054669664 0.0043655466 0.003933005 0.00434771 0.0044770264 0.0047401185 0.003201698 0.004120291 0.0036654538 0.004187179 0.004378924 0.004352169 0.0037590968 0.004615261 0.0043610875 0.0058995076 0.0060867937 0.0035941068 0.0039820564 0.0037100457 0.0036386987 0.0035673515 0.0035049228 0.0034960045 0.0040311073 0.0033443922 0.0034737086 0.0044859448 0.003598566 0.0032641266 0.004374465 0.0037858519 0.004169342 0.0033087186 0.0033934433 0.0038527397 0.0046687713 0.003438035 0.0059931506 0.0036565354 0.0038928725 0.003250749 0.0033800656 0.0033711472 0.003322096 0.0032106165 0.003130351 0.0034424942 0.003317637 0.0031348101 0.0034201983 0.0034469534 0.0033800656 0.003295341 0.003455872 0.0033845247 0.003455872 0.0032730452 0.0034737086 0.0035405965 0.0036164026 0.0033042594 0.0034514128 0.0034603311 0.0033934433 0.0033756064 0.0034603311 0.0035450556 0.0031704837 0.0033087186 0.003438035 0.0034737086 0.0031838613 0.0030902184 0.0031169734 0.0033622289 0.00324629 0.0033042594 0.003366688 0.003455872 0.0033800656 0.0035138414 0.0031392693 0.003674372 0.0034603311 0.0034514128 0.003625321 0.0032373716 0.003032249 0.0035673515 0.0032329124 0.004963078 0.0039196275 0.003718964 0.0033354738 0.003455872 0.0033443922 0.0035405965 0.00401773 0.004093536 0.00341128 0.0033310147 0.0034157392 0.003553974 0.0036208618 0.0031838613 0.003059004 0.0037323416 0.0030857592 0.0031927796 0.003647617 0.0037055865 0.00341128 0.0036297801 0.0033979025 0.003647617 0.0033533105 0.0033354738 0.0035807292 0.0032596674 0.0033488513 0.0032998002 0.0032106165 0.00390625 0.003322096 0.0032373716 0.0033265555 0.0035227598 0.0032329124 0.0032552083 0.0035049228 0.00572114 0.003999893 0.0032329124 0.004120291 0.0041470462 0.0034068208 0.0032819635 0.0028806364 0.004048944 0.0032552083 0.0032775044 0.0034157392 0.003571811 0.003152647 0.003438035 0.0031571062 0.0039463826 0.003455872 0.00324629 0.0035405965 0.004111373 0.0033889841 0.0037724744 0.014184682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0043676533 2.4638044e-05 2.01584e-05 6.719467e-06 2.2398222e-06 4.4796443e-06 1.3438934e-05 4.4796443e-06 1.5678756e-05 2.2398222e-06 1.3438934e-05 1.1199111e-05 8.959289e-06 2.4638044e-05 3.8076978e-05 2.911769e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035926749 3.5837154e-05 6.4954846e-05 3.5837154e-05 0.00015902738 7.6153956e-05 0.00022846187 0.00011199111 6.943449e-05 4.927609e-05 2.01584e-05 2.01584e-05 1.1199111e-05 3.135751e-05 4.703627e-05 3.3597335e-05 0.0031290317 5.5995555e-05 8.06336e-05 4.03168e-05 8.287343e-05 0.00012319023 0.00022846187 0.00010303182 0.00020830346 4.4796443e-06 4.4796443e-06 6.719467e-06 6.719467e-05 1.1199111e-05 2.01584e-05 0.0004210866 0.003126792 2.911769e-05 1.7918577e-05 2.911769e-05 2.2398222e-05 2.911769e-05 3.135751e-05 0.00013438934 0.00012319023 5.151591e-05 0.00017918578 0.00014558845 0.00014558845 0.00015902738 0.0001500681 0.00021278311 0.0072010285 0.00014558845 0.0008130555 0.0006853856 0.0012341421 0.0006562679 0.004598355 0.0022801391 0.0001814256 6.4954846e-05 4.255662e-05 3.5837154e-05 5.823538e-05 3.8076978e-05 5.3755735e-05 0.00025981938 0.008885375 0.0001814256 0.0003606114 0.00025533975 0.0014626039 0.00076153956 0.0040809563 0.0035792359 0.0008354537 0.00020382383 0.0002217424 0.00025757955 0.0003830096 0.00020606365 0.0003225344 0.0009384855 0.0043788524 0.00018366543 0.00012766987 0.00013438934 0.00031805475 0.00024190081 0.00028445743 0.00047036266 0.0004614034 0.00034717243 0.0003247742 0.000302376 0.00040988746 0.0002508601 0.000302376 0.0006361095 0.0069636074 0.00026429901 0.00027549814 0.00026653885 0.0006069918 0.0003606114 0.0004524441 0.0007234626 0.0011154314 0.0007884174 0.00080185634 0.00096088374 0.0011288704 0.0010303182 0.000844413 0.0017649799 0.01776403 0.0018836905 0.0011490288 0.0021479896 0.0032544618 0.0028311354 0.002985683 0.0042937393 0.0051381523 0.0025511575 0.0030304794 0.0026855469 0.0039846436 0.002999122 0.0045423596 0.0075661195 0.01612448 0.003702426 0.0023495737 0.0026407505 0.005819058 0.0048536947 0.0027034655 0.0051650302 0.005996004 0.0012587801 0.000969843 0.001209504 0.0032813395 0.0017537809 0.0035949147 0.007384694 0.049811408 0.047273688 0.04874749 0.048032988 0.048678055 0.048059866 0.049094662 0.0486467 0.048467513 0.048301768 0.048424955 0.048460793 0.0486243 0.048440635 0.048295047 0.04786948 1151.0 8.147697 9378.0 0.014182128 0.0055448925 0.011089785 0.0061846874 0.0061846874 0.0075709107 0.00629132 0.0058647897 0.0047984645 0.005118362 0.007037748 0.004691832 0.0071443804 0.0066112177 0.009703562 0.0066112177 0.007251013 0.0069311154 0.007890808 0.008423971 0.0069311154 0.006397953 0.0059714224 0.006504585 0.0056515248 0.0058647897 0.005331627 0.0068244827 0.007890808 0.0077841757 0.008104074 0.0056515248 0.007357646 0.016208148 0.008530604 0.012369375 0.010343357 0.009916826 0.009596929 0.009383664 0.007357646 0.011089785 0.0058647897 0.007037748 0.008743868 0.007677543 0.0058647897 0.008104074 0.011516315 0.004371934 0.0077841757 0.014502026 0.008957134 0.0067178505 0.0075709107 0.007890808 0.0058647897 0.0066112177 0.007037748 0.005118362 0.0077841757 0.0066112177 0.0050117294 0.0075709107 0.005118362 0.02601834 0.011089785 0.016528044 0.018660694 0.053422906 0.016847942 0.01087652 0.010023459 0.028684154 0.00629132 0.0077841757 0.026124973 0.014715292 0.02473875 0.030496908 0.013329068 0.0069311154 0.027617829 0.02473875 0.03529537 0.015781617 0.007997441 0.015248454 0.010663254 0.010983152 0.007037748 0.005118362 0.0055448925 0.0057581575 0.0045851995 0.0055448925 6.304523 0.0 1.0 0.0 2.0 224256.0 598016.0 0.0 0.0 158.0 0.0 1.0 0.0 0.0 0.0 1399838700.0 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 5.2720685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.864905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4889636 0.0 5.81579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -286720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4558.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -251832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23144.0 0.0 19472.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 19472.0 577536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.18644518 0.02528155 0.008337552 0.007623594 0.004393163 0.0016022342 0.0015373289 0.0031785064 0.0069374517 0.0014520248 0.00615117 0.0011738591 0.005830352 0.0032267217 0.0014260627 0.0023885157 0.003248975 0.0024960733 0.00076031947 0.0006212366 0.0016226331 0.0028910686 0.00062679994 0.0011664414 0.0015095123 0.0013759928 0.0032248672 0.0012628721 0.0030690944 0.0013370496 0.0019249064 0.0006750153 0.009049656 0.0046194047 0.0011942579 0.014878154 0.000893839 0.0015929621 0.001804368 0.00076031947 0.0010663017 0.000775155 0.00062679994 0.00082337036 0.0009420544 0.019562464 0.001639323 0.000521097 0.0015725632 0.0012591633 0.0008994023 0.002902195 0.0008456236 0.0007529017 0.0007176674 0.00059342006 0.001338904 0.0019211975 0.0007362118 0.0017005195 0.00059712894 0.0006750153 0.0005563313 0.0007566106 0.0023458637 0.0017691336 0.00074548397 0.0016207786 0.0023273195 0.006679685 0.0017839691 0.0009476177 0.001338904 0.0010755738 0.0012814165 0.00089754787 0.0016782662 0.0068169134 0.0020361727 0.0016189242 0.005748757 0.0018525834 0.0012350555 0.0032304307 0.0009772887 0.0033287157 0.0040204213 0.0036736412 0.0006787242 0.0012461821 0.0011497514 0.0011961124 0.0010681561 0.0021826732 0.002203072 0.0015540188 0.0008456236 0.002707479 0.0011108082 0.0018006591 0.003007898 0.0063347593 0.0017190638 0.0012239289 0.003757091 0.0030728034 0.0040760543 0.0006601798 0.0029967714 0.0022104897 0.0031080376 0.0033991844 0.0034529632 0.0007770094 0.0040167123 0.0029263028 0.00765141 0.0071080597 0.0014946768 0.008634262 0.001325923 0.00080297154 0.00054891355 0.0009086745 0.0009086745 0.001745026 0.0009031112 0.001118226 0.0041372506 0.0011070993 0.00042837512 0.0048753168 0.0013166508 0.003350969 0.0007213763 0.0006453443 0.0022216165 0.004808557 0.00092536444 0.017355682 0.0009680165 0.007451131 0.00073992065 0.0012851254 0.0006601798 0.00035976092 0.00034677985 0.0008215159 0.00092351 0.00043579287 0.00044506506 0.0009902698 0.0008363514 0.00072508515 0.00055447686 0.00074919284 0.00096987095 0.0005748757 0.00050997036 0.0005044071 0.00088642124 0.0012461821 0.0005897112 0.00056374905 0.0006527621 0.00045433725 0.00047288163 0.00044135618 0.00055818574 0.00075846503 0.00048400825 0.0003931408 0.0011645869 0.0006787242 0.0009346366 0.00060269225 0.0014538792 0.00058229343 0.0010941182 0.00084747805 0.0005952745 0.0007974082 0.0006064011 0.00067130645 0.0023050662 0.0007974082 0.00073064846 0.0012999609 0.0006008378 0.0006138189 0.00069170527 0.00089569343 0.004482176 0.0011163715 0.002012065 0.0022512875 0.0012832709 0.0013945372 0.0023458637 0.001698665 0.0015058034 0.0017042283 0.0006286544 0.00082893367 0.02232743 0.00058414787 0.0016040887 0.0012276378 0.0025665418 0.0009439088 0.00091609225 0.00043579287 0.0012313466 0.0005266603 0.001414936 0.0030394234 0.0021659832 0.00034677985 0.000402413 0.0007325029 0.0010459028 0.034477707 0.0011237892 0.00037645086 0.0013778473 0.000432084 0.0004079763 0.0003690331 0.0010755738 0.0002763112 0.0006138189 0.00048400825 0.011846148 0.0024923643 0.00044321062 0.0017338993 0.003618008 0.013266648 0.0007566106 0.035442013 0.004524828 0.0034511087 0.0003541976 0.0009346366 0.0044376696 0.0005989834 0.0018618555 0.0015484556 0.0030282969 0.0005006982 0.00042095737 0.0015132212 0.004241099 0.03140305 0.0016541585 0.1479044 0.00046223958 7.719494e-05 2.6971726e-05 1.1160714e-05 2.8831846e-05 0.0 1.7671131e-05 2.9761904e-05 1.2090773e-05 1.3950893e-05 0.00010044643 2.9761904e-05 4.092262e-05 0.00036458333 0.015130208 0.07127325 0.0019903274 5.394345e-05 1.674107e-05 1.2090773e-05 2.2321428e-05 8.370535e-06 8.835566e-05 2.8831846e-05 2.5111607e-05 1.5811012e-05 4.6502977e-05 5.1153274e-05 4.092262e-05 9.4866075e-05 0.003673735 0.014783296 0.0126348585 0.0013569569 0.018077567 6.696428e-05 8.4635416e-05 0.00012090774 8.835566e-05 0.00010881697 7.4404765e-05 1.7671131e-05 1.1160714e-05 1.2090773e-05 0.00010416667 0.0054659597 9.300596e-06 0.0017661831 0.0028943452 0.0008854167 0.009627976 7.4404765e-05 0.00011625744 6.510417e-05 6.4174106e-05 2.2321428e-05 1.7671131e-05 1.674107e-05 2.139137e-05 3.999256e-05 0.00012834821 0.001734561 0.0033017113 0.0019419643 0.007063802 0.0012360491 0.004906064 0.00030598958 0.00036830356 0.0003655134 0.0005766369 0.00025204613 0.00019252232 0.00023530507 0.00013485864 0.00022414434 0.00017950148 0.005092076 0.008102679 0.016478796 0.0060732886 0.0017317708 0.003813244 0.00026971727 0.00059244793 0.0010035342 0.00044642857 0.00033389137 0.00020275297 8.4635416e-05 7.2544644e-05 6.138393e-05 0.0003004092 0.006478795 0.0030868675 0.007829241 0.029187128 0.0021521577 0.0055078124 0.00083519344 0.0012462798 0.0009198289 0.0011644345 0.0009979538 0.0010249256 0.0011104911 0.0004185268 0.0009468006 0.000500372 0.005201823 0.005864025 0.021017484 0.043505393 0.0011300223 0.0036309524 0.0010063244 0.0019596354 0.0012732515 0.013114769 0.007061942 0.0009235491 0.0003236607 0.00016834078 0.0002548363 0.0005859375 0.00036644345 0.0074469866 0.0048670014 0.021976376 0.000500372 0.0014778646 0.0005078125 0.0012276786 0.0007952009 0.0030738467 0.0021493675 0.001063058 0.000296689 0.00036272322 0.00053571427 0.00031622025 0.0023242189 0.0024627976 0.0028348214 0.028556548 0.0016387649 0.0019122023 0.0011979167 0.0022991071 0.0015187872 0.004207589 0.004643787 0.0012788319 0.0011811756 0.0017531622 0.0013216146 0.0046670386 0.004097842 0.0011932664 0.0071037947 0.014735864 0.00096540176 0.0018015252 0.0013792783 0.0028989955 0.0011337425 0.0033705358 0.0049590776 0.003482143 0.0007217262 0.00085565477 0.0015364584 0.0008565848 0.0089546135 0.0006194196 0.006967076 0.011634114 0.0009728423 0.0010100446 0.0007924107 0.0012704614 0.0008816964 0.002156808 0.0034802828 0.002126116 0.0007840402 0.00062779017 0.001156064 0.0015894717 0.0028338914 0.0013346354 0.0035398065 0.009226191 0.001750372 0.0013950893 0.0012081473 0.0009737723 0.0009105283 0.0011216517 0.0012695312 0.0015280878 0.0007310268 0.0010574777 0.00096168154 0.0015904017 0.0015773809 0.0013402158 0.0038346355 0.06591518 0.01093099 0.005721726 0.007612537 0.017663691 0.022521392 0.010042783 0.0155636165 0.035499442 0.0034979538 0.0039276415 0.005826823 0.031925224 0.005482701 0.018768601 0.03624256 0.01015904 0.0024860492 0.001827567 0.0025083704 0.004138765 0.0038643973 0.0021949406 0.0033807664 0.0050372025 0.0013811383 0.0013513765 0.001656436 0.004285714 0.0018294271 0.0025223214 0.008519345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1827.0 24.322933 44438.0 0.033529863 0.049642198 0.0015527251 0.17530042 0.0012151762 0.0014402089 0.0005400783 0.003082947 0.0016427382 0.00045006527 0.0011251632 0.0011026599 0.0010351501 0.23011836 0.009023809 0.0016202349 0.005468293 0.0044106394 0.0030379405 0.0046806787 0.0033529862 0.002317836 0.0015752284 0.001192673 0.003938071 0.0060308743 0.0029254241 0.0017777578 0.0006075881 0.0014402089 0.00090013054 0.0038705613 0.009001305 0.007358567 0.002475359 0.010283991 0.008236194 0.0026778884 0.0028129078 0.0043656332 0.002407849 0.005670822 0.005828345 0.0061883973 0.010374004 0.008933796 0.0021828166 0.009991448 0.0045231557 0.002047797 0.0022728296 0.0068634953 0.0033754895 0.014739637 0.0068184887 0.0154597415 0.0013276925 0.0005625816 0.00537828 0.0030154372 0.0051082405 0.0011476664 0.0007876142 0.0033979928 0.002047797 0.0108690765 0.002565372 0.0058508483 0.0066384627 0.024281021 0.0041856067 0.006570953 0.0033754895 0.012331788 0.0028579144 0.003510509 0.012984383 0.007696116 0.011004096 0.012916873 0.009473873 0.0029479275 0.013389441 0.008236194 0.023673432 0.004028084 0.0028129078 0.06062379 0.003082947 0.002047797 0.000427562 0.0006075881 0.00047256853 0.0005625816 0.00081011746 0.0015527251 4.763623 0.0 0.0 0.0 5.0 539247.0 548864.0 1.0 49.0 290.0 0.0 1.0 0.0 0.0 0.0 1091599600.0 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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 234496.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234496.0 0.0 298496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8247814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1896315 0.0 4.9997683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234181.0 0.0 298216.0 0.0 0.0 0.0 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 -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 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 -2.0 0.0 1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 3.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 -3.0 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 1.0 -1.0 -2.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -2.0 2.0 0.0 2.0 -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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 2.0 -1.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -3.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 2.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 3.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -3.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 2.0 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 0.0 -2.0 -2.0 1.0 2.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 3.0 2.0 -3.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -3.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 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 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 -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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 1.0 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 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 -1.0 -1.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 2.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 1.0 -1.0 1.0 -1.0 -2.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 2.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 -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 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 3.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 1.0 -2.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 0.0 0.0 0.0 -1.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 -2.0 0.0 -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 -2.0 0.0 0.0 -1.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 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 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 1.0 1349.0 236928.0 320.0 228540.0 298216.0 249856.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 7312.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 35056.0 320.0 608.0 3216.0 4096.0 0.0 0.0 0.0 0.0