Input: 0.18022136 0.02137472 0.009023099 0.013675008 0.013193776 0.0064966315 0.016201476 0.0049326275 0.004010266 0.0062159128 0.006055502 0.0038498556 0.0020452358 0.0056544757 0.0030478025 0.0025665704 0.0028071865 0.002967597 0.0014035932 0.008782483 0.002125441 0.0024462624 0.0029274945 0.0020853386 0.0018046198 0.0014035932 0.0019650306 0.0012030799 0.0028071865 0.003930061 0.0030076997 0.0023259544 0.0125922365 0.0019249278 0.0019249278 0.0023660571 0.002005133 0.0019650306 0.0020853386 0.0018447225 0.0018046198 0.0018447225 0.0034889316 0.0036092396 0.0016442091 0.0031280078 0.0072986847 0.006055502 0.024743343 0.011870388 0.005854989 0.0031280078 0.0024061599 0.0025665704 0.0023259544 0.0036493423 0.0028071865 0.0025665704 0.0024462624 0.0009624639 0.0014436959 0.0020452358 0.0017244145 0.0018848252 0.0018046198 0.0029274945 0.0027269812 0.0049727303 0.0023660571 0.0025264677 0.0035290343 0.0020853386 0.004050369 0.0031681103 0.0014837985 0.0018447225 0.0018447225 0.0054940647 0.0027670837 0.0018447225 0.0043711904 0.0012030799 0.005093038 0.0057747834 0.0054138596 0.0094642285 0.0034889316 0.0028873917 0.0014837985 0.002005133 0.0022858519 0.0012431826 0.0016041065 0.0015239012 0.0011228746 0.004290985 0.0019650306 0.012712544 0.0022056464 0.012231312 0.0062961183 0.021896053 0.005895091 0.0049326275 0.003930061 0.019650305 0.0012030799 0.0028071865 0.0068575554 0.008501764 0.011429259 0.027911453 0.009544434 0.0010426693 0.021976259 0.012070902 0.021294514 0.0054138596 0.0029274945 0.005133141 0.0026066732 0.0023660571 0.0022056464 0.0011228746 0.0010426693 0.0012832852 0.0012832852 0.0014436959 0.0023660571 0.0024863651 0.006657042 0.0015239012 0.0014436959 0.0011629772 0.006456529 0.0010025665 0.0015239012 0.0014436959 0.0011629772 0.0006817453 0.0011629772 0.0014436959 0.0013233878 0.0013233878 0.0013634906 0.0008822586 0.0012431826 0.0013634906 0.0016041065 0.0016041065 0.0014837985 0.0017645172 0.0018848252 0.0014436959 0.0012431826 0.0014837985 0.0015239012 0.0010827719 0.0013233878 0.0014436959 0.0028873917 0.0016442091 0.0014436959 0.0016442091 0.0016843119 0.0012030799 0.0012030799 0.0013634906 0.0014035932 0.0011228746 0.0017244145 0.0010025665 0.0018848252 0.0011228746 0.0013634906 0.0017244145 0.0013634906 0.0016442091 0.0014436959 0.0013233878 0.0012030799 0.0013634906 0.0011228746 0.0011629772 0.0014837985 0.0011228746 0.0010426693 0.0012832852 0.0010025665 0.0012431826 0.0012030799 0.0014035932 0.0011629772 0.0013233878 0.0011228746 0.0017244145 0.0011228746 0.0013233878 0.0009624639 0.0010426693 0.0014837985 0.0015239012 0.0013634906 0.0013233878 0.0016041065 0.0009624639 0.0016442091 0.0013233878 0.0013233878 0.0015239012 0.0012431826 0.0012431826 0.0013634906 0.0012431826 0.0010827719 0.0012030799 0.0014436959 0.0010025665 0.0013634906 0.0015640039 0.00080205326 0.0012832852 0.0013233878 0.0013233878 0.0010827719 0.0012431826 0.0014035932 0.0012832852 0.0014436959 0.0016041065 0.0015239012 0.0013634906 0.0016843119 0.0018447225 0.0010025665 0.0012030799 0.0015640039 0.0016442091 0.0011629772 0.0013233878 0.0013233878 0.0009624639 0.0018046198 0.0012832852 0.0016442091 0.0015640039 0.00084215595 0.0031280078 0.0013634906 0.0012431826 0.0011228746 0.0012832852 0.0015239012 0.0011228746 0.0011629772 0.0017244145 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06033458 0.0011463994 0.0023140286 0.0034179688 0.0021654211 0.0015709918 0.009149966 0.004139776 0.00070057745 0.00025475543 0.00040336276 0.00023352582 0.00027598505 0.00021229619 0.00025475543 0.00038213315 0.04517663 0.00021229619 0.0003184443 0.00072180707 0.003078295 0.0061778193 0.016983695 0.013226053 0.00014860733 6.368886e-05 0.00021229619 0.000106148094 0.00019106657 8.491848e-05 8.491848e-05 0.00016983696 0.037173063 0.0007854959 0.0036727241 0.0013162364 0.002844769 0.004925272 0.020231828 0.012015965 0.0006581182 0.00036090353 0.0006368886 0.00040336276 0.0005944293 0.00036090353 0.00046705164 0.00050951086 0.027640965 0.001231318 0.00613536 0.0018682065 0.0031844429 0.0030995244 0.025411855 0.0126528535 0.00067934784 0.0005731997 0.00089164404 0.00084918475 0.0007642663 0.0005307405 0.0005731997 0.0008704144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017684273 0.0019955842 0.001953125 0.0033330503 0.0017408289 0.002016814 0.0045855977 0.002632473 0.0014860734 0.0006368886 0.0009977921 0.0007854959 0.00082795514 0.0008067255 0.0010190217 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06825323 0.021463145 0.022736922 0.036047895 0.018172555 0.020359205 0.045643684 0.028893512 0.016856318 0.0107846465 0.010444973 0.009043818 0.0097868545 0.009213655 0.009638247 0.010487432 0.04190727 0.017153533 0.018002717 0.025496773 0.014329993 0.015200407 0.030740488 0.021017324 0.012334409 0.009638247 0.010317595 0.0083857 0.008215862 0.008534307 0.010020381 0.009574559 282.0 20.159575 5685.0 0.045030784 0.0015831135 0.0005277045 0.0029903254 0.0026385225 0.0017590149 0.002814424 0.0022867194 0.0015831135 0.0029903254 0.001407212 0.001407212 0.0015831135 0.007739666 0.019700967 0.018997362 0.042744063 0.032541778 0.01653474 0.0065083555 0.002814424 0.0047493405 0.003869833 0.005804749 0.0066842567 0.005628848 0.005277045 0.000703606 0.00087950745 0.001407212 0.0017590149 0.000703606 0.001055409 0.007739666 0.00087950745 0.014775726 0.0024626208 0.0033421284 0.003166227 0.001407212 0.0019349165 0.004573439 0.0012313104 0.0015831135 0.001055409 0.014599824 0.0033421284 0.002814424 0.007739666 0.000703606 0.008795075 0.011609498 0.00826737 0.001407212 0.00087950745 0.0054529463 0.001055409 0.0012313104 0.004221636 0.0001759015 0.0001759015 0.00087950745 0.0005277045 0.003166227 0.0015831135 0.035708003 0.003166227 0.042744063 0.016007036 0.045030784 0.018293755 0.010026385 0.010202287 0.05998241 0.0 0.004573439 0.015127528 0.024978012 0.03324538 0.08671944 0.0233949 0.000703606 0.06103782 0.03869833 0.059102904 0.011257696 0.005277045 0.008091468 0.00087950745 0.0026385225 0.003869833 0.0 0.000703606 0.0001759015 0.000351803 0.0005277045 5.374083 2.0 20.0 0.0 1.0 24936.0 32768.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1537904400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 4.0 0.0 6144.0 512.0 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 -6144.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.929763 0.0 3.3535752 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 -5876.0 0.0 1112.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 13972.0 1112.0 16384.0 0.0 0.0 16232.0 8704.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.03765978 0.004295962 0.0039870758 0.0037797964 0.0063931393 0.0033327236 0.0035643887 0.0043203477 0.0041943546 0.003625353 0.0037147675 0.0033611737 0.0040561687 0.0033693023 0.0033327236 0.00786035 0.003926111 0.0038041822 0.0033408522 0.0035359384 0.0034018168 0.0033571094 0.003568453 0.003405881 0.0034302669 0.0036172245 0.0031579589 0.0033205308 0.0036538031 0.0035643887 0.0033489808 0.003503424 0.005897295 0.003377431 0.0034709098 0.0033286593 0.009632384 0.0033733665 0.003377431 0.0032880164 0.0036578674 0.003637546 0.0032717593 0.0032880164 0.0037350892 0.0033977525 0.003324595 0.0032839521 0.004141519 0.0044666626 0.004113069 0.0042756405 0.004649556 0.003930175 0.0038895323 0.005742852 0.0045316913 0.004117133 0.0031091874 0.003446524 0.0035196813 0.0033408522 0.003446524 0.003759475 0.0036334817 0.0034505883 0.003267695 0.0033936882 0.004308155 0.0041537117 0.0038692108 0.0036050316 0.0033936882 0.0035400027 0.0033693023 0.003474974 0.0036009673 0.0033205308 0.0034343312 0.003377431 0.0037025746 0.0034546526 0.0034505883 0.003458717 0.0034383954 0.0036131602 0.0034505883 0.0034424597 0.0033611737 0.003296145 0.003665996 0.003446524 0.0033855597 0.003365238 0.0035115527 0.009209697 0.0048649637 0.004198419 0.0038895323 0.004186226 0.00558028 0.0041902903 0.0077181 0.003255502 0.0042228047 0.003678189 0.0034709098 0.0032880164 0.0039870758 0.0033977525 0.0034627812 0.0037391535 0.0034546526 0.0034546526 0.0036416103 0.003678189 0.004556077 0.0037554107 0.003503424 0.0034221383 0.0035074884 0.0035196813 0.0035765816 0.0032067306 0.0033611737 0.0034912312 0.0035603244 0.0032351806 0.0037919893 0.0034993598 0.0036822532 0.004239062 0.003759475 0.0037228963 0.0035521958 0.0036985104 0.0041821618 0.0054177083 0.0035196813 0.003954561 0.003255502 0.00566563 0.0034546526 0.0036741246 0.0033977525 0.0033002093 0.0034221383 0.0034302669 0.003377431 0.003418074 0.0032595664 0.003133573 0.0036619317 0.0035074884 0.0035237456 0.0032717593 0.005937938 0.0032880164 0.0033693023 0.0034668455 0.0033164665 0.0032717593 0.003117316 0.0036700603 0.0033327236 0.0032351806 0.0032311163 0.0034221383 0.0030929302 0.0032595664 0.0033408522 0.003515617 0.0035196813 0.0032311163 0.003446524 0.0034546526 0.003446524 0.0032595664 0.0033408522 0.0033977525 0.0032758235 0.0034627812 0.0036009673 0.0038123108 0.0040236544 0.0034262026 0.004043976 0.0036863175 0.003389624 0.0034952955 0.0039057897 0.0031417017 0.0044382126 0.0041821618 0.0035115527 0.0036294174 0.003938304 0.003596903 0.004401634 0.004043976 0.0037513464 0.0036863175 0.0033124022 0.0033571094 0.0033449165 0.003418074 0.003336788 0.0035196813 0.003828568 0.0032514378 0.004031783 0.0036172245 0.0034424597 0.003389624 0.0032636307 0.0035481313 0.0037716678 0.0034018168 0.0034343312 0.0033164665 0.0033855597 0.003389624 0.0036497389 0.0036334817 0.0036131602 0.0033977525 0.0035400027 0.003446524 0.0033408522 0.003324595 0.0034912312 0.0034952955 0.005714402 0.006222439 0.0035603244 0.0034546526 0.0034343312 0.0033733665 0.0035237456 0.003336788 0.003405881 0.0034668455 0.0036334817 0.003544067 0.0033855597 0.004007397 0.00407649 0.0037107032 0.00401959 0.0042187404 0.0037960536 0.003377431 0.003678189 0.0036172245 0.0039586253 0.010900445 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-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 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1065.0 10.760564 11460.0 0.04930192 0.005061082 0.006980803 0.0042757415 0.0062827226 0.0042757415 0.0040139616 0.005322862 0.0059336824 0.005671902 0.0041884817 0.0047993017 0.0046247817 0.0035776615 0.0057591624 0.0046247817 0.014746946 0.02661431 0.022687608 0.02774869 0.018062828 0.016666668 0.015794067 0.056631763 0.02469459 0.015968587 0.004363002 0.0055846423 0.0060209422 0.007329843 0.005410122 0.005846422 0.0068935426 0.007940663 0.0041884817 0.004886562 0.0064572426 0.0055846423 0.0061082025 0.007155323 0.0047993017 0.0063699824 0.005148342 0.005846422 0.005671902 0.0059336824 0.0062827226 0.0042757415 0.0067190225 0.005322862 0.004886562 0.006806283 0.004363002 0.004537522 0.004537522 0.0060209422 0.0055846423 0.0041884817 0.0060209422 0.005846422 0.0034031414 0.005148342 0.0041884817 0.12600349 0.004973822 0.020331588 0.011169285 0.02547993 0.015095986 0.02303665 0.014048866 0.0072425827 0.0061954623 0.009685864 0.004712042 0.0042757415 0.010645724 0.0067190225 0.009336824 0.012827225 0.0060209422 0.0067190225 0.013961606 0.009249563 0.014834206 0.009947644 0.005148342 0.0063699824 0.0066317627 0.006980803 0.005235602 0.004886562 0.005061082 0.0062827226 0.005497382 0.005410122 5.9374104 0.0 0.0 0.0 5.0 246045.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.7235796 0.0032760797 0.0015856911 0.0020520708 0.002493704 0.0010831432 0.0011231186 0.0010622037 0.0022481408 0.0011002754 0.0011669011 0.0007328824 0.0016770634 0.0009251451 0.0007043286 0.0014238859 0.0020330348 0.0008756517 0.000586306 0.00075572554 0.0011611903 0.0011307329 0.00063008856 0.00058440235 0.0013648745 0.0007005214 0.0009251451 0.0006833891 0.0009213379 0.0005996311 0.0009898671 0.00077285786 0.003074299 0.0006567388 0.0008356763 0.00084900146 0.001865519 0.0008470979 0.00079570094 0.0006548352 0.0007424004 0.00048731922 0.00050254795 0.000692907 0.00070623215 0.00070242496 0.0010393605 0.0006148598 0.0011002754 0.00086994097 0.0009270487 0.0016104378 0.0010545893 0.0017988932 0.0007576291 0.00075001473 0.0008432907 0.00087755534 0.000786183 0.0013401279 0.0010031923 0.0010945647 0.0007976045 0.0010964683 0.0013743925 0.0011326364 0.00093466305 0.0035616183 0.0013458387 0.0016389916 0.0009365666 0.0010393605 0.0011859371 0.0008794589 0.00062437775 0.00060914905 0.00085661584 0.0010564929 0.00079189375 0.0007233645 0.002171997 0.0011002754 0.0015609444 0.0014010428 0.0012620806 0.001172612 0.002162479 0.001237334 0.001069818 0.0016523168 0.0005786916 0.0014848008 0.00079189375 0.0014372111 0.0009327595 0.0010203246 0.0008832661 0.0020120954 0.0006586424 0.0013001525 0.0013229955 0.0029619872 0.0009784456 0.00090610917 0.0014714757 0.0021206 0.0013839104 0.00074811117 0.001530487 0.0009365666 0.0016256665 0.0017798573 0.0011040827 0.0005996311 0.0024061387 0.0018160256 0.0033312838 0.0036358584 0.001027939 0.001637088 0.0011478652 0.00087184453 0.00061295624 0.0008299656 0.001227816 0.00090991636 0.0006986178 0.00083186914 0.0016218593 0.0008413871 0.0005786916 0.0024118496 0.001102179 0.0016085341 0.0005177767 0.00050254795 0.0010469749 0.0020101918 0.0010641072 0.005229164 0.0010564929 0.0016637383 0.00048731922 0.000651028 0.00073478604 0.0005406198 0.0004892228 0.00064912444 0.0008071225 0.0006757747 0.0007404968 0.0005082587 0.000534909 0.0005748844 0.0015990163 0.0005729808 0.00081283326 0.0005387162 0.0004892228 0.0006167634 0.00070242496 0.0008147368 0.0004968372 0.0007252681 0.0008832661 0.0007328824 0.00078808656 0.00055965566 0.0007899902 0.0004340187 0.00046257256 0.00052348746 0.0007785686 0.00049874076 0.0004720905 0.0005044516 0.00063008856 0.0005082587 0.00058059517 0.00060343824 0.0005824988 0.0005463305 0.0005615593 0.00095369894 0.0007214609 0.0005291982 0.00088897685 0.0006719675 0.0008033153 0.00052348746 0.0005291982 0.00090230204 0.0017893753 0.0010869503 0.00068529265 0.0013781997 0.0010774324 0.00058059517 0.0008432907 0.0009727349 0.000860423 0.0014276931 0.00046447615 0.0005330054 0.0016561239 0.0009898671 0.00052348746 0.00048731922 0.0010583964 0.0015990163 0.000618667 0.00069481065 0.0006434137 0.00052348746 0.0008661338 0.00056917366 0.00085471227 0.00058440235 0.0004758977 0.00060534186 0.000651028 0.00054823415 0.0005729808 0.0005615593 0.0010564929 0.00061295624 0.0005729808 0.0012963453 0.0010355534 0.0009822529 0.00056917366 0.0005996311 0.0027544957 0.0008851697 0.0005330054 0.0011269257 0.0016104378 0.0005748844 0.00055204134 0.00060914905 0.0010907575 0.0005748844 0.00046637974 0.0008261584 0.0014962223 0.0005463305 0.0016599311 0.00074811117 0.0013344171 0.0012849238 0.0005824988 0.0006319921 0.0013591638 0.00068529265 0.0012677915 0.011547182 0.6152344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018730164 9.536743e-06 9.536743e-06 1.9073486e-06 1.04904175e-05 9.536743e-07 1.4305115e-05 1.1444092e-05 1.9073486e-06 1.9073486e-06 1.9073486e-06 1.9073486e-06 5.722046e-06 2.861023e-06 2.861023e-06 2.861023e-06 0.0036153793 3.8146973e-05 2.002716e-05 1.7166138e-05 4.005432e-05 1.4305115e-05 3.528595e-05 1.8119812e-05 5.531311e-05 6.67572e-06 2.861023e-06 7.6293945e-06 7.6293945e-06 2.861023e-06 4.7683716e-06 2.002716e-05 0.0068950653 8.869171e-05 6.580353e-05 5.2452087e-05 0.00014400482 3.4332275e-05 0.00010585785 9.441376e-05 0.00011634827 3.1471252e-05 1.9073486e-05 2.861023e-05 2.3841858e-05 1.9073486e-05 2.7656555e-05 6.580353e-05 0.0016431808 2.7656555e-05 1.7166138e-05 4.386902e-05 2.4795532e-05 1.8119812e-05 3.4332275e-05 1.04904175e-05 7.6293945e-06 5.722046e-06 1.1444092e-05 1.2397766e-05 9.536743e-06 8.583069e-06 7.1525574e-05 6.67572e-06 0.0015821457 1.335144e-05 4.7683716e-06 2.0980835e-05 3.2424927e-05 6.67572e-05 2.193451e-05 1.5258789e-05 7.915497e-05 1.9073486e-05 5.722046e-06 3.8146973e-06 1.8119812e-05 1.2397766e-05 1.1444092e-05 4.5776367e-05 0.0073928833 0.00019741058 0.00017642975 8.869171e-05 0.00035381317 0.00023269653 0.00031852722 0.0002002716 0.00012111664 8.4877014e-05 0.000102996826 8.201599e-05 7.915497e-05 0.00010681152 6.484985e-05 0.00016307831 0.016813278 0.00051403046 0.0013771057 0.0006914139 0.00045394897 0.00031089783 0.0025644302 0.0014677048 0.00039672852 6.580353e-05 8.201599e-05 0.000113487244 0.00023269653 4.9591064e-05 0.00034332275 0.0038204193 0.006556511 0.0001335144 0.0004272461 0.00017642975 0.00064373016 0.00042438507 0.00082683563 0.00068950653 0.00035762787 2.3841858e-05 3.4332275e-05 0.00012111664 7.43866e-05 5.2452087e-05 0.00022602081 0.0009508133 0.0036773682 8.106232e-05 0.0005788803 0.0006160736 0.00072574615 0.0003976822 0.002286911 0.0011262894 2.9563904e-05 3.2424927e-05 3.9100647e-05 3.9100647e-05 3.9100647e-05 3.2424927e-05 3.528595e-05 2.861023e-05 0.0051059723 0.00013542175 0.00082302094 0.00022411346 0.0009899139 0.0006093979 0.0029058456 0.0015707016 0.00016975403 9.059906e-05 0.0001001358 0.0001373291 0.00011634827 0.000111579895 0.0002155304 0.00036621094 0.04551792 0.0027923584 0.0026845932 0.0050230026 0.0028791428 0.0029640198 0.0031986237 0.0033903122 0.0028381348 0.0024843216 0.002544403 0.0027618408 0.0024175644 0.002506256 0.0029067993 0.0029344559 0.003909111 0.00032806396 0.00052547455 0.00029277802 0.0004491806 0.00043201447 0.00059223175 0.00057315826 0.00064849854 0.00020694733 0.00017738342 0.00021457672 0.00036621094 0.0002155304 0.00027561188 0.00055885315 0.008551598 0.0015258789 0.0014572144 0.0013561249 0.0029287338 0.0037984848 0.0017623901 0.0029382706 0.0048770905 0.001335144 0.00051116943 0.000579834 0.0029382706 0.001121521 0.0016117096 0.0037221909 0.012018204 0.0028820038 0.002067566 0.0025758743 0.003870964 0.0055093765 0.0021429062 0.004717827 0.0072460175 0.0016059875 0.0012664795 0.0012569427 0.004240036 0.0018262863 0.0036172867 0.0076093674 0.00603199 0.005911827 0.0048007965 0.0054979324 0.0051345825 0.0062150955 0.005783081 0.0058526993 0.005460739 0.004881859 0.005264282 0.005159378 0.004781723 0.00534153 0.005952835 0.0058202744 814.0 13.572481 11048.0 0.039916728 0.0017197683 0.0047067343 0.0017197683 0.005883418 0.0014482259 0.0014482259 0.005249819 0.002986966 0.0011766836 0.0020818247 0.0019007965 0.0031679943 0.005159305 0.0076937 0.0039826212 0.0110427225 0.008508327 0.010409124 0.008960898 0.007874728 0.0076937 0.007422158 0.0047067343 0.006879073 0.0066075306 0.006698045 0.0057023894 0.006879073 0.008055757 0.006517017 0.005973932 0.0040731356 0.015568429 0.0040731356 0.009685011 0.017197683 0.0057023894 0.0071506156 0.012762491 0.0050687906 0.011585807 0.0019007965 0.0033490225 0.005973932 0.00615496 0.009322954 0.0043446776 0.01692614 0.0036205647 0.008508327 0.013577118 0.0079652425 0.0038921072 0.009322954 0.010137581 0.009141926 0.0024438812 0.0018102824 0.002986966 0.0041636494 0.00307748 0.0028059378 0.005883418 0.00615496 0.03475742 0.006064446 0.02724475 0.01909848 0.07376901 0.008327299 0.010590152 0.0107711805 0.034395367 0.0042541637 0.0032585084 0.030503258 0.013215061 0.032675598 0.038559016 0.015115858 0.002986966 0.04326575 0.027425779 0.054398987 0.01801231 0.009322954 0.0043446776 0.007512672 0.009685011 0.0031679943 0.0018102824 0.002262853 0.0019913106 0.0019007965 0.0028059378 5.925128 0.0 1.0 0.0 5.0 525323.0 540672.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 963899400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2048.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -265728.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.909226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.073034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.759129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2516437 0.0 5.898484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152809.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 13312.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 226396.0 13312.0 102400.0 0.0 0.0 0.0 0.0 3264.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 8192.0 0.0 0.0 316.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.04718926 0.004499038 0.004393969 0.0046580615 0.003975586 0.0038364406 0.0037209592 0.0036121039 0.0036991881 0.0038667307 0.0041194647 0.0045009316 0.0047858483 0.0045776037 0.0040891743 0.0036215696 0.0036528064 0.0034511874 0.0034644394 0.0035382716 0.0035666686 0.0034076453 0.0033394923 0.0035032486 0.0034066986 0.0034795844 0.0039348835 0.00416206 0.0036376612 0.0034180575 0.0035108211 0.0036613254 0.009453376 0.0037200127 0.0037029744 0.0034682257 0.003690669 0.003300683 0.0035373252 0.0036196765 0.0035761343 0.0034710653 0.0033858742 0.0034180575 0.003533539 0.0035448975 0.0037976312 0.0036632186 0.0036177833 0.0036726843 0.0034161643 0.0034417217 0.0034776912 0.00345876 0.0036007452 0.0035278595 0.003337599 0.003327187 0.003577081 0.0033470648 0.0036263026 0.003508928 0.0035581496 0.003353691 0.0043475875 0.0037503028 0.003434149 0.0035903328 0.0036660584 0.0037133868 0.0035165006 0.003487157 0.0034682257 0.0037058142 0.0033016296 0.0034729585 0.003673631 0.0036064244 0.0036830965 0.0036102107 0.003927311 0.0035430044 0.0036442874 0.003737051 0.0036442874 0.0036395544 0.0035761343 0.0035960122 0.003495676 0.003383981 0.0033546374 0.0034682257 0.0034275232 0.003353691 0.003423737 0.0034085917 0.0037010813 0.004571924 0.0036499668 0.0044914656 0.0042652357 0.006046677 0.0035382716 0.0037966848 0.0037379975 0.0048577874 0.0034265765 0.0034019658 0.0043608393 0.0038743033 0.004810459 0.004886185 0.0051190406 0.0035780275 0.004703497 0.0049505513 0.004802887 0.0044375113 0.0035714016 0.0034057521 0.0035884397 0.003592226 0.0034634927 0.0033215075 0.0034653859 0.0033925 0.0033991262 0.0033868207 0.0069440235 0.003732318 0.00393867 0.003793845 0.003432256 0.0035515237 0.0034227904 0.0034085917 0.0034417217 0.0035780275 0.0033565306 0.0035884397 0.0032808052 0.0035609892 0.00342563 0.0034029123 0.003543951 0.003390607 0.0033480115 0.0033603169 0.0033716757 0.0034332026 0.003447401 0.0034313095 0.003710547 0.0034180575 0.0035041953 0.0034511874 0.0033669428 0.0035581496 0.0035411112 0.003533539 0.0037077074 0.0033981795 0.0033962864 0.003500409 0.0034294163 0.003320561 0.0034966227 0.0034720118 0.0035297526 0.0037787 0.0038875553 0.00348905 0.0035458442 0.0035344854 0.0033991262 0.0034294163 0.0048057265 0.0035676153 0.003918792 0.0035884397 0.0037891122 0.00441858 0.0036102107 0.0036575391 0.0043324423 0.003487157 0.0038932348 0.0037626084 0.0036234627 0.0040125023 0.0043163504 0.0037275853 0.003480531 0.00349189 0.0034057521 0.003925418 0.0033603169 0.0033697826 0.0034227904 0.0034114316 0.0033641031 0.003335706 0.0033783016 0.0034199506 0.00339534 0.0033196143 0.00345876 0.003438882 0.010832526 0.006288052 0.0034066986 0.0034426684 0.0034360422 0.0033650496 0.0034379354 0.003342332 0.0031321938 0.0034246834 0.0034597064 0.0033650496 0.0035269128 0.0033877674 0.0034843173 0.0034530805 0.0034426684 0.0034521339 0.0035269128 0.0035202869 0.0034180575 0.003436989 0.0034398285 0.003478638 0.0035079815 0.0035893864 0.0035165006 0.0035695084 0.0036395544 0.003530699 0.0034625463 0.003390607 0.003543951 0.00348905 0.003382088 0.0034502407 0.0035874932 0.0033925 0.0034104849 0.0033943933 0.0035950658 0.003383981 0.0034294163 0.0033745153 0.003423737 0.0036035848 0.00422832 0.008269219 0.0077603534 4.7405947e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8962379e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0009054536 4.7405948e-07 0.0 4.7405948e-07 0.0 0.0 0.0 9.4811895e-07 4.7405948e-07 0.0 0.0 0.0 4.7405948e-07 0.0 9.00713e-06 5.356872e-05 0.0008727435 5.0250303e-05 7.5849516e-06 4.7405948e-07 2.3702974e-06 0.0 0.0 1.8962379e-06 2.8443567e-06 9.955249e-06 1.801426e-05 2.3702974e-06 2.3702974e-06 0.0 0.0 0.0 0.0058058063 0.00019626062 0.00013984754 4.1717234e-05 5.2146543e-06 9.955249e-06 2.5125151e-05 1.1377427e-05 1.5169903e-05 2.559921e-05 2.1806736e-05 8.53307e-06 2.0858617e-05 3.7924758e-05 9.00713e-05 0.00034084875 0.00079973834 4.7405947e-06 1.4695844e-05 1.4221783e-06 1.4221783e-06 1.2325546e-05 1.1377427e-05 4.7405948e-07 3.3184162e-06 1.9910498e-05 1.1377427e-05 3.3184162e-06 1.801426e-05 0.0 3.7924758e-06 6.494614e-05 0.0015003982 0.000118514865 4.313941e-05 3.7924758e-06 3.7924758e-06 2.3702974e-06 9.4811895e-07 9.4811895e-07 5.2146543e-06 2.0858617e-05 3.0813866e-05 1.2325546e-05 5.6887134e-06 9.955249e-06 3.0813866e-05 0.00015217309 0.0042836014 0.00025931053 0.00014221785 0.00013652912 5.8309313e-05 5.6887136e-05 9.0545356e-05 1.9436438e-05 3.2710104e-05 0.00010950774 0.00012657388 7.7271696e-05 4.3613472e-05 2.702139e-05 9.955249e-05 0.00026215488 0.0014401927 0.00029059846 0.0025731947 0.00013652912 0.00019578656 0.0001099818 0.005705306 0.0030240254 0.0004399272 0.00021474894 0.00038114382 0.0012880196 0.00033847845 0.0018346101 5.1672483e-05 0.0013932608 0.0037640322 0.00046837077 0.0021503337 0.00021854142 0.00024129626 0.00014221785 0.002281648 0.0013401661 0.0016392976 0.0005518052 0.00026215488 0.004155131 0.00021948954 0.0061044637 0.0001332107 0.00059968524 0.010384747 0.00074664364 0.0011111954 0.00032757508 0.0007675023 0.00058735965 0.00094717083 0.0006954452 0.00074901397 0.00053189474 0.0009282084 0.0017018735 0.00043092004 0.0015179384 0.001363869 0.0014804878 0.006783791 0.0006229141 0.0015544409 0.00047453353 0.0016369274 0.0008874393 0.0016786446 0.0013676615 0.0011913114 0.0002256523 0.00044798618 0.00027353232 0.0003076646 0.00015122497 0.00033990064 0.0014738509 0.006152818 0.00042617947 0.000534265 0.00034321906 0.0011505423 0.0004726373 0.000566027 0.0006470912 0.0014378224 0.00041717233 0.000478326 0.00028585785 0.00025978457 0.0002024234 0.0002280226 0.00096091855 0.0020213895 0.00024840716 0.00041006145 0.00029059846 0.00020289746 0.0002759026 0.0006243363 0.00041243175 0.00041195768 0.00013700318 0.00020621587 0.000118514865 0.00014695844 6.873862e-05 9.00713e-05 0.00015975804 0.001403216 0.0002901244 0.00079973834 0.0003214123 0.00042049075 0.0003204642 0.0010993439 0.0007072967 0.00055275334 0.0002512515 0.0003062424 0.0005413759 0.0003380044 0.00064519496 0.0002910725 0.00044988244 0.0011633419 0.00042523135 0.00087511376 0.00051293237 0.0005494349 0.0004513046 0.0007267332 0.0005333169 0.0005797747 0.0004105355 0.000358863 0.0008888615 0.00030339806 0.0011751935 0.00030482025 0.00044988244 0.053851258 0.052984677 0.052522946 0.053017862 0.05280501 0.053300403 0.053629875 0.053418916 0.052808803 0.052515835 0.05277372 0.05318805 0.052575093 0.053060055 0.052931584 0.053159606 5181.0 10.352056 53634.0 0.07586606 0.0064324867 0.0069358987 0.0048476714 0.005444308 0.004493418 0.0059850095 0.007793564 0.0071596378 0.006227393 0.0061341687 0.005201924 0.0076816943 0.007737629 0.011280159 0.0090427715 0.0065070665 0.0084274905 0.0049968306 0.0066562253 0.004735802 0.0058544953 0.005742626 0.005220569 0.0048103817 0.005220569 0.006264683 0.0050900546 0.008110527 0.006078234 0.006973189 0.004512063 0.004866316 0.010608942 0.005444308 0.009322445 0.008446135 0.011019129 0.0054629524 0.0056866915 0.0050900546 0.0100495955 0.0054256627 0.0052951486 0.008986836 0.0068240296 0.009508894 0.009508894 0.0070104785 0.004717157 0.0076816943 0.010888616 0.008986836 0.008371555 0.006525711 0.004735802 0.004735802 0.0043069692 0.004418839 0.0041951 0.0048290263 0.0045866426 0.004549353 0.0053137937 0.0058358503 0.026606258 0.010310624 0.025338404 0.021777231 0.054592237 0.008185106 0.010758101 0.0077003394 0.034287952 0.005220569 0.0049595404 0.021106014 0.0130887125 0.029980982 0.033113323 0.016146474 0.007085058 0.028452102 0.032535333 0.031640377 0.023343401 0.008185106 0.005779916 0.006469777 0.0063579073 0.0058544953 0.0054256627 0.0049222508 0.0049222508 0.0041391654 0.005015475 6.100623 0.0 18.0 0.0 11.0 1056448.0 737280.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1406390700.0 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 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 9.0 0.0 5.0 0.0 5.0 0.0 477696.0 512.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -209920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 59392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.978042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0371904 0.0 4.6524754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -667648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3035.0 0.0 59228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 671744.0 59392.0 675840.0 0.0 0.0 6336.0 1050112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 671784.0 512.0 552212.0 0.0 0.0


Input: 0.094544746 0.0052513345 0.0037032892 0.0021096522 0.004675221 0.0140546765 0.012224792 0.005792218 0.00806973 0.005151862 0.011414503 0.0055912 0.008218939 0.011808249 0.012879655 0.0033737856 0.0029220134 0.00046006168 0.00042690407 0.0005657515 0.0016392288 0.0015791307 0.0006113432 0.00041861468 0.0012185418 0.0006071985 0.00043312114 0.00046006168 0.00095328095 0.00038752944 0.00041239764 0.0006092709 0.0028764217 0.00041032527 0.00067558605 0.000627922 0.0017221228 0.00046627873 0.00034193773 0.00041654232 0.0009512086 0.00026526078 0.00038752944 0.0010610431 0.0008973275 0.0014423556 0.00063413905 0.00039581882 0.0023438276 0.0012185418 0.0012724228 0.0035043436 0.001332521 0.0011087072 0.0009014722 0.0008869658 0.0011460095 0.0010320302 0.00092426804 0.0022236314 0.0011128519 0.0013615339 0.0011750223 0.00158742 0.002919941 0.0020371198 0.008442753 0.0009512086 0.000959498 0.0042669685 0.0016060711 0.00075019064 0.0010444643 0.00062584964 0.00046213402 0.00035229948 0.0006527902 0.002155244 0.00069630955 0.00040618057 0.0031955636 0.0012268311 0.0006569349 0.0016060711 0.0009677874 0.0023728407 0.0024557346 0.001676531 0.000752263 0.001912779 0.00031706953 0.0006569349 0.00050979806 0.0022402103 0.0016537352 0.0014962367 0.00073775655 0.0020474817 0.00069630955 0.0015211048 0.004803707 0.009499651 0.006664677 0.0038006897 0.004063878 0.0037882556 0.004173713 0.0018879108 0.0028577705 0.0020309028 0.0027852382 0.0032660235 0.0023003083 0.0013532444 0.0036100335 0.003435956 0.007850061 0.0075827283 0.0027914552 0.002677476 0.0028888558 0.0025531352 0.0019065619 0.0013553168 0.0015356112 0.0020184687 0.001463079 0.0013283762 0.002091001 0.0015439007 0.001255844 0.006511323 0.00207235 0.0049011074 0.0016454458 0.0016786034 0.0025220497 0.0065797106 0.0028847111 0.01749685 0.0052720583 0.0095245205 0.0033841473 0.00020516264 0.00060305384 0.0002528267 0.00022588614 0.00041032527 0.000538811 0.00038960177 0.00020930734 0.00020101795 0.00049114693 0.00023624788 0.00018858384 0.000248682 0.00046006168 0.00032535894 0.0002113797 0.00020723499 0.0006818031 0.00082065054 0.00019272853 0.0004952916 0.00052223215 0.00032950364 0.00017614974 0.0001699327 0.00080821646 0.0002321032 0.00018029445 0.00038545707 0.00046627873 0.0002528267 0.00025904374 0.00023417553 0.0006092709 0.0002776949 0.00023417553 0.0002694055 0.0005491727 0.0004227594 0.0003605889 0.0006092709 0.0011439371 0.00041239764 0.00036266123 0.000248682 0.00044762756 0.00039167414 0.00029220132 0.00031292482 0.0039892737 0.0014755131 0.0014858749 0.0024681687 0.001463079 0.00047042343 0.0014506449 0.0018899831 0.0054233395 0.007997198 0.0052637686 0.0035582248 0.005064823 0.0023500447 0.0024059983 0.0018443913 0.0019335024 0.0015708412 0.0016392288 0.0018029443 0.002269223 0.0019936005 0.0029510262 0.0031168142 0.0037095062 0.0032266488 0.0020516263 0.0024412281 0.0017863656 0.0017200503 0.0014444279 0.0017925827 0.002422577 0.0019169237 0.0016661693 0.0037260852 0.0028909282 0.0032826022 0.0035644418 0.0051394277 0.013861949 0.0054212674 0.00037509532 0.0022795848 0.0029033623 0.0003357207 0.0004932193 0.00038752944 0.0026899101 0.0009014722 0.00050979806 0.00057196856 0.001291074 0.0004642064 0.001469296 0.00089111045 0.0023231043 0.00087867636 0.00061341556 0.0006735137 0.002658825 0.00084966345 0.0024536622 0.34554982 0.014835439 6.2333775e-06 1.1427859e-05 4.155585e-06 0.0 0.0 1.0388962e-06 1.0388962e-06 5.194481e-06 0.0 2.0777925e-06 0.0 9.350067e-06 0.0 8.31117e-06 9.350067e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004778923 4.155585e-06 0.0 3.1166887e-06 1.0388962e-06 0.0 1.0388962e-06 0.0003615359 0.00012051197 4.155585e-06 7.272274e-06 0.0 6.2333775e-06 0.00048516455 2.493351e-05 0.0070135887 0.0076473155 6.0255985e-05 2.8050199e-05 3.0127992e-05 5.194481e-06 2.1816822e-05 0.0014492603 0.0021079206 0.0042584357 5.8178193e-05 6.752826e-05 9.350067e-05 5.5061504e-05 0.0049461853 0.0033068068 0.092885636 0.012666224 9.5578456e-05 7.168384e-05 1.662234e-05 2.0777925e-05 2.1816822e-05 0.00392495 0.004104679 0.0037026263 0.00010596742 0.00011635639 0.00011012301 0.0037805436 0.0045327046 0.0043332363 0.092183344 0.012040808 8.207281e-05 0.00023894614 5.0905917e-05 0.00010492853 6.545046e-05 0.0038324883 0.002613863 0.0037784658 6.752826e-05 9.5578456e-05 0.00010492853 0.0032839512 0.0025099735 0.0040215673 0.050087266 0.023505028 0.00023582946 0.00057762634 0.00010285073 0.0013661486 0.00026803525 0.0046625664 0.0013027759 0.007819773 0.0004997091 0.00028985206 0.00014232879 0.004257397 0.0011303192 0.008390127 0.032683678 0.046754487 0.00062125997 0.0011843417 0.00043737533 0.0019479305 0.000530876 0.0155356545 0.012643368 0.010377535 0.00032621343 0.00026076296 0.00021297374 0.013261511 0.011757189 0.010507397 0.048109207 0.013382023 0.00040828623 0.00071372173 0.00041036404 0.0021338928 0.00092773436 0.007340841 0.0034927693 0.0008498172 0.00023790725 0.0002794631 0.00035218583 0.001843002 0.0009547457 0.001382771 0.005716007 0.0093646115 0.00037504156 0.0011188913 0.00045399767 0.0015354886 0.0007500831 0.0034605635 0.0018398853 0.0006046376 0.00019115691 0.00020570146 0.00017245678 0.0006970994 0.00045191988 0.00056412065 0.0016186005 0.0048402175 0.0007168384 0.0010150017 0.008861785 0.0011427859 0.0007500831 0.0022502493 0.0013599152 0.0006981383 0.00063580455 0.000640999 0.0007604721 0.000901762 0.00089968415 0.0007303441 0.0014554937 0.0055861454 0.0005080203 0.00072722737 0.0019375415 0.0011375914 0.0006794382 0.0018648189 0.0013069315 0.0018450798 0.00042594748 0.00047062003 0.00062749337 0.00074904424 0.00033036902 0.00067632145 0.002404006 0.030651595 0.004366481 0.003364985 0.0048308675 0.009053981 0.009113198 0.004167013 0.006919049 0.018123545 0.0011230469 0.0015905502 0.0022980385 0.009833153 0.0029857878 0.008190658 0.015302942 0.026007729 0.005860414 0.0041431184 0.0057014627 0.0095910905 0.010339096 0.005549784 0.008263381 0.01730074 0.0012674534 0.0019178025 0.0018471576 0.009743808 0.0042916806 0.0083361035 0.016009392 0.0006098321 0.0002493351 0.00028154088 0.0001973903 0.00026284077 0.0001942736 0.00051633146 0.00032829124 0.00016414562 0.00020050698 0.00021712932 0.00017765127 0.0002223238 0.00022440159 0.00021920711 0.00019011802 1124.0 16.386122 18418.0 0.033934195 0.0009773048 0.0037463352 0.0008144207 0.0071126074 0.0013030731 0.0011401889 0.0028776198 0.0040178085 0.0013030731 0.0007058313 0.0016288414 0.0036377457 0.0030947987 0.011184711 0.005157998 0.017645782 0.011619069 0.011184711 0.011076122 0.010696058 0.009175806 0.007546965 0.008089912 0.00852427 0.006406776 0.009175806 0.008089912 0.0105331745 0.009935932 0.009881638 0.012976436 0.018297318 0.007709849 0.0033662722 0.009555869 0.004940819 0.004832229 0.0041806926 0.0041806926 0.003583451 0.005320882 0.000760126 0.0012487784 0.0054294714 0.0029319145 0.0028776198 0.0022803778 0.0089586275 0.0014116626 0.005320882 0.008198502 0.009827343 0.0027147357 0.0076555545 0.008035617 0.005483766 0.0016288414 0.0022803778 0.0016288414 0.0033119775 0.0014659573 0.0013573678 0.01140189 0.004832229 0.03838636 0.011021826 0.029101966 0.02443262 0.07308068 0.008252796 0.0102617005 0.009718753 0.037083287 0.0045607556 0.0047236397 0.029753502 0.014713867 0.03469432 0.049679663 0.018568791 0.0016831361 0.04321859 0.03328266 0.057118036 0.014496688 0.007818438 0.0052665872 0.009555869 0.009555869 0.0014659573 0.0009230101 0.002226083 0.0010315995 0.0008687154 0.0012487784 5.8056145 1.0 20.0 0.0 4.0 482544.0 495616.0 1.0 0.0 171.0 1.0 1.0 1.0 1.0 0.0 1542199200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 11.0 5.0 1.0 5.0 1.0 124416.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48128.0 0.0 0.0 0.0 0.0 0.0 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 -124416.0 0.0 287744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.613408 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1015344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9135323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.607554 0.0 3.7986224 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47846.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -124255.0 0.0 287728.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 1.0 1.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 -1.0 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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 174868.0 287728.0 192512.0 0.0 0.0 6384.0 476160.0 9412.0 483328.0 84.0 162192.0 0.0 0.0 0.0 0.0 24.0 162432.0 64.0 162280.0 0.0 0.0 712.0 131072.0 0.0 0.0 0.0 0.0


Input: 0.76453274 0.0009780873 0.00092994544 0.0012272927 0.0009386589 0.00093190593 0.00089748774 0.0009125185 0.0009815728 0.0009125185 0.0009445405 0.0009325595 0.0009436691 0.0009173109 0.0009009731 0.0009271135 0.00093582703 0.0009096866 0.0009155682 0.00088659587 0.0009186179 0.000883764 0.00091338984 0.0008998839 0.0009125185 0.0008687333 0.0009112115 0.0009173109 0.00090859743 0.00089639856 0.0008883386 0.0009536896 0.00091948925 0.0009258065 0.00090293365 0.00090336933 0.00094671885 0.00092493516 0.00089835905 0.0009112115 0.00091840007 0.00089182396 0.00086633704 0.000915786 0.0009120828 0.00089117046 0.0009175287 0.0009702452 0.0009066369 0.0009216676 0.000914479 0.0009271135 0.00092493516 0.0008942202 0.00090336933 0.00090402283 0.00089639856 0.00095085776 0.00092079624 0.0009610961 0.0009066369 0.0009116471 0.0008998839 0.00092885626 0.00095325394 0.00096305663 0.00091774657 0.0008953094 0.0009399659 0.0017877868 0.00089683424 0.0009284206 0.0009116471 0.00093626266 0.0009009731 0.00087526836 0.00089770555 0.0009334308 0.0009160039 0.0009175287 0.00094693666 0.0009151325 0.0009072904 0.00092558865 0.0009262422 0.00093452 0.00090315146 0.0009334308 0.000905112 0.0009325595 0.00087548624 0.0008979234 0.0008950915 0.000923846 0.0008885564 0.00095608586 0.0008998839 0.0009565215 0.00089247746 0.000894438 0.0009107758 0.000955868 0.00089639856 0.00091317197 0.00089748774 0.0009103401 0.00094541186 0.00089247746 0.0009105579 0.0008955272 0.0009221033 0.0009044585 0.00090184447 0.00089770555 0.0009244995 0.00091317197 0.0010096737 0.0009896327 0.00090293365 0.00089639856 0.00089770555 0.0009114293 0.0008833283 0.0009168752 0.00090271584 0.0009813549 0.00090750825 0.00090424065 0.00089726987 0.0009120828 0.0009020623 0.0010310217 0.00089683424 0.0009430156 0.0008902991 0.0009340843 0.0009480259 0.0011723978 0.0009325595 0.0012924259 0.00089051697 0.00095804635 0.000911865 0.00089225965 0.0008785359 0.00088158564 0.00087918947 0.0008835462 0.0009175287 0.000903805 0.0009099044 0.00088659587 0.00092602434 0.0008907348 0.0008844175 0.00092057843 0.00091469684 0.0009399659 0.00089051697 0.00089770555 0.0009390946 0.00091230066 0.00086045545 0.0008966164 0.00093626266 0.0009443227 0.0008889921 0.00088768505 0.0009329951 0.00092057843 0.00088223914 0.0009062012 0.000937134 0.0009173109 0.00092362816 0.00093604485 0.000905112 0.0008826748 0.00090162666 0.0008998839 0.00089748774 0.0008661192 0.0009216676 0.0008879029 0.000903805 0.00089748774 0.0008844175 0.0008852889 0.00091535033 0.0009268957 0.0008831105 0.00090750825 0.0009421443 0.00092885626 0.000914479 0.0009338665 0.00093059894 0.00093364867 0.00091012224 0.0009279849 0.00093016325 0.00088027865 0.0008892099 0.00088703155 0.0009427978 0.00090249797 0.00087396137 0.0008680798 0.0009282027 0.00089944823 0.0008839819 0.0008961807 0.0009369162 0.0009003196 0.00088703155 0.00089204183 0.00094715453 0.00088877423 0.00089051697 0.0008885564 0.0009504221 0.0009020623 0.0009271135 0.0009780873 0.000990504 0.0010366854 0.0008848532 0.0008966164 0.000977216 0.00088114996 0.0008885564 0.0008946559 0.0009968213 0.00089225965 0.0008942202 0.001002485 0.0009650171 0.00088986347 0.0009271135 0.0008992304 0.0009837511 0.00091905356 0.0008979234 0.0009059834 0.0009458475 0.00088877423 0.00090707256 0.0009092509 0.000955868 0.00090707256 0.00087918947 0.00090903306 0.00096784905 0.0008990126 0.00089835905 0.0011229488 0.010705801 0.0 0.0 4.3577086e-07 0.0 0.0 1.08942714e-07 1.08942714e-07 4.3577086e-07 1.08942714e-07 1.08942714e-07 0.0 6.536563e-07 6.536563e-07 0.0 1.0894272e-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 0.00062718324 6.2097347e-06 1.6995064e-05 1.1983699e-06 1.6341407e-06 1.1983699e-06 8.715417e-07 1.0894272e-06 4.357709e-06 8.715417e-07 1.1983699e-06 7.6259903e-07 1.4162553e-06 1.4162553e-06 5.447136e-07 2.3967398e-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 0.0003616898 2.1788544e-06 3.8129951e-06 1.4162553e-06 4.1834002e-05 1.5143038e-05 2.0699115e-06 2.1788544e-06 2.0699115e-06 1.6341407e-06 1.0894272e-06 8.715417e-07 2.6146251e-06 2.0699115e-06 1.9609688e-06 3.5951095e-06 0.13416459 0.002186807 0.0021464983 0.0021743877 0.0021288495 0.0021783095 0.0021251456 0.002173734 0.0021444284 0.002132009 0.0021760217 0.0021029213 0.0021290674 0.0021309196 0.002164147 0.0021857177 0.59989536 0.010841217 0.010826509 0.010921943 0.010911702 0.010877822 0.010841652 0.010822697 0.010851566 0.010875533 0.010925974 0.010799383 0.010811366 0.010859628 0.010897213 0.010869541 0.030013936 0.00068590336 0.000737869 0.000720765 0.0007151 0.0007015911 0.0007335113 0.0007475649 0.0006954903 0.0006957082 0.0007071472 0.0006755538 0.0006853586 0.0007110691 0.00070605776 0.00067424646 0.0005669379 1.0131673e-05 1.9064975e-05 9.586959e-06 7.4516814e-05 2.4838939e-05 4.651854e-05 3.170233e-05 2.5928366e-05 8.82436e-06 8.279646e-06 1.1438985e-05 1.1983699e-05 1.0458501e-05 1.568775e-05 1.6559292e-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 0.00022714556 9.151188e-06 1.5469866e-05 9.042245e-06 2.2006428e-05 1.5905636e-05 5.38177e-05 3.0177132e-05 7.4081045e-06 6.7544483e-06 6.9723337e-06 6.8633913e-06 7.952818e-06 8.715418e-06 9.913787e-06 8.9333025e-06 0.00023586098 1.4816209e-05 1.3944667e-05 1.6668235e-05 1.5034095e-05 1.645035e-05 1.5469866e-05 1.7539776e-05 1.9718631e-05 9.26013e-06 8.388589e-06 1.1656871e-05 1.3291011e-05 9.695902e-06 1.645035e-05 1.1983699e-05 0.00026734543 1.3399954e-05 2.690885e-05 2.0699115e-05 0.00040047342 8.388589e-06 6.42762e-06 6.231523e-05 0.00027791286 2.3749511e-05 3.6713696e-05 6.9832284e-05 7.113959e-05 7.2773735e-05 0.00010502078 9.87021e-05 0.00077469164 9.9028926e-05 0.00011014108 0.00012299632 0.000559203 0.00015273769 7.059488e-05 0.00019980094 0.0006308873 5.3708758e-05 7.767616e-05 9.238342e-05 0.00020601068 0.00012561095 0.00020001883 0.00031745908 0.00033826713 5.8393296e-05 6.133475e-05 7.952818e-05 0.00012441257 9.8593155e-05 5.545184e-05 8.780783e-05 0.00018847089 2.5819423e-05 3.6386868e-05 3.083079e-05 0.00010109884 6.754448e-05 7.615096e-05 0.00013171174 0.00060811825 0.0005929752 0.00063775067 0.0005956988 0.0005765248 0.00057859474 0.00064570346 0.00056399644 0.000559203 0.00057401916 0.00063894904 0.00056345173 0.00055658835 0.0005994028 0.0007249048 0.00057805004 293.0 8.979522 2631.0 0.006081338 0.0038008362 0.007981756 0.003040669 0.004941087 0.005701254 0.00418092 0.00418092 0.0064614215 0.00418092 0.00418092 0.004941087 0.00418092 0.0045610033 0.0064614215 0.005701254 0.0076016723 0.003040669 0.0045610033 0.0064614215 0.0026605853 0.005701254 0.006841505 0.0053211707 0.0045610033 0.0076016723 0.0045610033 0.005701254 0.0026605853 0.0026605853 0.00418092 0.010262257 0.004941087 0.034207527 0.004941087 0.012542759 0.05055112 0.011782592 0.00836184 0.037628278 0.007221589 0.030026605 0.0034207525 0.004941087 0.007981756 0.007981756 0.026605854 0.006841505 0.036488026 0.0034207525 0.004941087 0.013302927 0.006081338 0.006841505 0.007981756 0.015203345 0.025845686 0.006841505 0.00418092 0.0064614215 0.0026605853 0.006841505 0.00418092 0.005701254 0.0038008362 0.03154694 0.00418092 0.015583429 0.015583429 0.044849865 0.0053211707 0.006841505 0.009122007 0.023945268 0.007221589 0.0045610033 0.022805016 0.011402508 0.026985938 0.018244013 0.010642341 0.0045610033 0.028886355 0.011402508 0.03990878 0.011782592 0.0045610033 0.004941087 0.004941087 0.006081338 0.0026605853 0.009882174 0.00418092 0.008741924 0.004941087 0.007981756 6.076017 0.0 0.0 0.0 5.0 4590592.0 10387456.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1433814300.0 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 12.0 0.0 5.0 10.0 5.0 0.0 68096.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4507648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68096.0 0.0 10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4902158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.643404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7110465 0.0 1.0486389 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10292412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67974.0 0.0 13864.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 75304.0 1576.0 10371072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 224.0 73728.0 0.0 0.0 0.0 0.0