Input: 0.20111084 0.0060831704 0.004023234 0.0036417644 0.0037333171 0.0018920898 0.0017344157 0.0020650227 0.009073894 0.0019632976 0.0027313232 0.0018615723 0.0040130615 0.0021362305 0.0019276937 0.0042012534 0.008153279 0.00445048 0.004389445 0.0014292399 0.0028330486 0.010467529 0.001622518 0.0014851888 0.002085368 0.0014343262 0.0016530355 0.0016428629 0.0029907227 0.0021158855 0.0021718342 0.0023244221 0.0031483967 0.0015207926 0.001332601 0.0025482178 0.0025736492 0.0028381348 0.0012715658 0.0015004476 0.0019887288 0.002090454 0.0016886393 0.0017649332 0.0019124349 0.0017700195 0.0015920004 0.0018056234 0.0021565754 0.0015258789 0.0017140707 0.0019378662 0.0028483074 0.002090454 0.0016988119 0.0016937256 0.0025634766 0.0013834635 0.0026346843 0.0016479492 0.0025482178 0.00247701 0.002146403 0.002512614 0.02200826 0.004160563 0.0023244221 0.0023651123 0.001953125 0.011433919 0.002146403 0.0021311443 0.0025685627 0.0022786458 0.0022888184 0.0017344157 0.0029754639 0.0089976 0.0019175211 0.0024108887 0.010223389 0.0065714517 0.006652832 0.003250122 0.0027160645 0.0059305825 0.0034484863 0.0027313232 0.0021565754 0.0017547607 0.0016123453 0.0022023518 0.0025838215 0.0027058918 0.0021362305 0.0043945312 0.0026855469 0.004084269 0.0032857258 0.002380371 0.0042622886 0.004460653 0.004018148 0.0015563965 0.0063680015 0.0034891765 0.005630493 0.002029419 0.0034383137 0.0033416748 0.0028686523 0.0035502117 0.0037180583 0.0018971761 0.0039621987 0.002690633 0.004506429 0.0030314128 0.0027516682 0.0018717448 0.0027414958 0.0018259684 0.0022583008 0.0021616619 0.0027770996 0.0035502117 0.0018259684 0.0025583904 0.0038655598 0.0016835531 0.0016530355 0.005091349 0.0025583904 0.009180705 0.0013529459 0.0016276041 0.0021616619 0.010360718 0.001780192 0.018732706 0.0022023518 0.015889486 0.0021820068 0.0023498535 0.0037078857 0.0023142498 0.002319336 0.001739502 0.0018463135 0.004135132 0.0018819174 0.0015411377 0.0019124349 0.0015309652 0.0017547607 0.001622518 0.0019276937 0.0017852783 0.0021006267 0.0022532146 0.0032348633 0.0018870035 0.0016581217 0.001836141 0.0029296875 0.0017547607 0.0020548503 0.0021616619 0.0030670166 0.002029419 0.0020650227 0.0018005371 0.0024922688 0.0019938152 0.0014648438 0.0022176106 0.0026245117 0.0015309652 0.0016021729 0.0015309652 0.0029347737 0.0022888184 0.0019175211 0.0024414062 0.003560384 0.002090454 0.0018666586 0.0015614828 0.002339681 0.002400716 0.0015360514 0.0023600261 0.0035807292 0.0012613932 0.0017140707 0.0022176106 0.004231771 0.001546224 0.001546224 0.008661906 0.0026194255 0.0017547607 0.0015411377 0.0017293295 0.002919515 0.0015920004 0.0012105306 0.0019582112 0.0037384033 0.0017140707 0.0023956299 0.00293986 0.0037027996 0.0019175211 0.0021413167 0.0023142498 0.002298991 0.0016530355 0.0020446777 0.0034281414 0.0031738281 0.0016276041 0.0019124349 0.0017293295 0.002319336 0.0016784668 0.0023091633 0.0021158855 0.0022888184 0.0019683838 0.00146993 0.0015767416 0.0038452148 0.003326416 0.0020599365 0.003189087 0.0037384033 0.0022735596 0.0017700195 0.0013478597 0.002243042 0.0016937256 0.0018310547 0.001566569 0.0031433105 0.0020345051 0.0025838215 0.0018870035 0.0022684734 0.0017751058 0.0024312336 0.0025634766 0.0045572915 0.002919515 0.0077260337 0.051691692 0.036649216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050489814 2.5564464e-06 1.2782231e-05 1.2782231e-05 1.7895125e-05 3.8346694e-05 5.8798265e-05 0.0 3.8346694e-05 0.0 0.0 0.0 0.0 0.0 0.0 5.1128927e-06 0.004793337 0.0 0.0 2.5564464e-06 6.391116e-05 8.691918e-05 0.00017895125 9.203207e-05 0.0 2.5564464e-06 7.669339e-06 2.5564464e-06 0.0 5.1128927e-06 0.0 0.0 0.013840601 6.6467604e-05 0.0003374509 1.7895125e-05 0.00073625654 6.391116e-05 8.180628e-05 0.0001380481 4.857248e-05 3.579025e-05 3.8346694e-05 3.0677355e-05 3.0677355e-05 1.0225785e-05 1.5338677e-05 0.00021474149 0.0042232494 7.669339e-06 0.00019940281 2.5564464e-06 0.0004959506 4.6016034e-05 1.0225785e-05 7.15805e-05 5.1128927e-06 7.669339e-06 2.5564464e-06 2.5564464e-06 7.669339e-06 7.669339e-06 7.669339e-06 0.0001380481 0.012478014 0.000143161 0.00026842687 0.0001380481 0.0005854262 0.0003527896 0.0005061764 0.0001763948 0.00010992719 2.812091e-05 0.00010225785 9.203207e-05 0.00019428993 0.00014827389 0.00016616902 0.00021729794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036710568 2.5564463e-05 0.00023519306 3.8346694e-05 0.00042948299 6.135471e-05 0.00014060455 6.902405e-05 0.000115040086 2.812091e-05 2.045157e-05 3.579025e-05 1.2782231e-05 3.3233802e-05 8.691918e-05 0.00023263662 0.026101317 0.0011197235 0.0010430301 0.00070813566 0.002594793 0.0015210856 0.0033361625 0.0016156741 0.00072603073 0.0003374509 0.00049339415 0.0002812091 0.0005036199 0.00034512026 0.00044482166 0.0007132485 0.02356021 0.001076264 0.0012449893 0.0010839333 0.0021883182 0.0014750696 0.005110336 0.0029143489 0.0004959506 0.00019684636 0.00036557182 0.00032211223 0.00027098332 0.00027353977 0.0003579025 0.00094844156 0.010432857 0.0003579025 0.00053941016 0.0005087328 0.0017332706 0.0021218504 0.005268836 0.002955252 0.00020707215 0.0001712819 0.00034512026 0.0003144429 0.000286322 0.000286322 0.00028376555 0.00036557182 0.011243251 0.0009433287 0.0011299492 0.00095611095 0.0031648807 0.0006851276 0.0022241082 0.0012961183 0.00039369272 0.0004371523 0.0005854262 0.00042437008 0.00046782967 0.0006109907 0.0006058778 0.0010097963 0.019232146 0.0056165126 0.0015210856 0.0011376187 0.007965887 0.0043945312 0.0038448954 0.0018431979 0.012853812 0.0019735766 0.0011836346 0.002022149 0.0031469855 0.0013651423 0.0017230448 0.019181017 0.046036486 0.015095816 0.0023186968 0.0025922365 0.021947091 0.017077062 0.009515094 0.005176804 0.034532476 0.004655289 0.0036454925 0.0041107656 0.009809084 0.00468341 0.0049748444 0.03372464 0.01330119 0.0049288287 0.0008334015 0.0016080048 0.0085666515 0.007400912 0.002737954 0.0024337368 0.011319945 0.001832972 0.0009177642 0.0013037876 0.0035892506 0.002937357 0.0028785586 0.0067081153 0.020643305 0.021916414 0.021586632 0.024743844 0.023363363 0.025881462 0.024477974 0.025382956 0.022072358 0.024669707 0.026898928 0.025648827 0.021788592 0.028026322 0.025779204 0.02979027 961.0 8.46514 8135.0 0.0070067607 0.002335587 0.00196681 0.007252612 0.002335587 0.00590043 0.0020897358 0.0015980332 0.0035648432 0.003318992 0.0028272895 0.0035648432 0.0028272895 0.0038106944 0.0055316533 0.00196681 0.0022126613 0.0045482484 0.006392133 0.0041794716 0.008358943 0.0045482484 0.0052858023 0.0051628766 0.004302397 0.0025814383 0.0070067607 0.0012292563 0.00590043 0.0038106944 0.004917025 0.0068838354 0.01745544 0.007252612 0.009588199 0.015365704 0.008481869 0.008481869 0.007375538 0.0045482484 0.0052858023 0.010202827 0.0038106944 0.0057775048 0.013890596 0.006269207 0.0067609097 0.008481869 0.008604794 0.0051628766 0.010202827 0.015242778 0.014382299 0.0055316533 0.02163491 0.00786724 0.004302397 0.004302397 0.0025814383 0.0045482484 0.004917025 0.00393362 0.0018438845 0.05629994 0.0031960665 0.055562384 0.038106944 0.014751076 0.017824216 0.047449294 0.009219422 0.006637984 0.02618316 0.016717887 0.023847573 0.006637984 0.024093423 0.015980331 0.01659496 0.026674861 0.008604794 0.004302397 0.05003073 0.019299325 0.03122311 0.008604794 0.030239705 0.011923786 0.00590043 0.0061462815 0.0045482484 0.0047940994 0.002335587 0.008481869 0.0052858023 0.0031960665 5.9825544 3.0 0.0 0.0 2.0 196608.0 118784.0 0.0 0.0 123.0 0.0 1.0 0.0 0.0 0.0 1405678300.0 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 8.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 106496.0 4096.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -106496.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.729681 0.0 3.8909824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -103636.0 0.0 2188.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 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 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 104948.0 2188.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 652.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.16901028 0.012044594 0.018365964 0.0065028383 0.013002187 0.0040844274 0.0029083746 0.0034011302 0.013145267 0.0021636577 0.002324885 0.0016618287 0.006007291 0.0017588442 0.001186522 0.0042505404 0.007798939 0.0017434893 0.0020303484 0.0011467385 0.0059514544 0.0022592773 0.0009394462 0.0010811309 0.0027108537 0.0007098193 0.0010748493 0.0009499155 0.0019752102 0.0005562694 0.0005541755 0.00082637765 0.004438988 0.0008801201 0.00068329705 0.00065468095 0.0051299627 0.00088849553 0.00064211775 0.0006155955 0.0014273161 0.0007391334 0.00054998783 0.001019013 0.0015585314 0.00088709965 0.0036928752 0.00068050524 0.0055996855 0.003468134 0.0033055106 0.008630202 0.0037284708 0.003252466 0.0033313348 0.003131022 0.0043538376 0.0032175684 0.0031652218 0.004744692 0.004535306 0.0035483986 0.0038066416 0.003102406 0.014927144 0.0036314551 0.0035162927 0.007206376 0.0066626696 0.015273329 0.0039741504 0.0027429597 0.00562551 0.005240239 0.0027436574 0.0019256553 0.0061050043 0.0043838494 0.0028525384 0.0028937177 0.0067778323 0.0030619246 0.0033697223 0.01505138 0.0048249564 0.00862741 0.004510179 0.0028350896 0.001672996 0.0050901794 0.0023814193 0.0039043552 0.0010601922 0.0033864733 0.003283874 0.002083393 0.0011767506 0.007891767 0.0009464257 0.0035197826 0.00827285 0.016983317 0.005490805 0.0019354267 0.00483054 0.006166424 0.0025635853 0.0008410347 0.0072845467 0.004621852 0.007676797 0.0071980003 0.0036398305 0.0006183873 0.008174438 0.007930154 0.015124665 0.0059046918 0.0021364375 0.0008249817 0.0031526587 0.0047949445 0.000547894 0.0007188927 0.004563224 0.0017902523 0.0012186278 0.0009080383 0.0027443555 0.00087174465 0.0007558843 0.0065035364 0.0026187238 0.003909241 0.00048368218 0.0004997351 0.0014070754 0.009189264 0.00043761721 0.041703455 0.00149083 0.008055088 0.000486474 0.0009059444 0.0033487838 0.00047321286 0.0004683272 0.0004090011 0.0013742716 0.0006581707 0.00037200953 0.0003922502 0.0022906854 0.0005758121 0.00043412743 0.00070493366 0.002569169 0.00046413948 0.0004194704 0.00039783382 0.001047629 0.0017413954 0.00038108294 0.00042784587 0.0013114557 0.0005458001 0.00034129954 0.00041458473 0.0011264979 0.0004013236 0.00034688317 0.00038387475 0.00087034877 0.00038876044 0.0003713116 0.00037898906 0.002049891 0.0005897712 0.0016625266 0.00043273153 0.0008640672 0.0003713116 0.001093694 0.0010985797 0.001474079 0.0012179299 0.0010245966 0.0005102044 0.0014726832 0.00045087835 0.0005213717 0.0008836099 0.008498289 0.0009087362 0.001641588 0.009229745 0.0033201675 0.0005262574 0.003103104 0.0019528755 0.0025824301 0.0013421657 0.0007642597 0.00061350164 0.0018014195 0.00047042104 0.0007188927 0.0005744162 0.0022599753 0.0007223825 0.0021322498 0.0010909023 0.0013247168 0.0004941515 0.0013777614 0.00080125127 0.0038568943 0.0006470034 0.0011495304 0.0018705169 0.0018579537 0.0007433211 0.000577208 0.0009178096 0.0019521776 0.0005122983 0.00056324893 0.00049903715 0.0014552342 0.001124404 0.0005067147 0.00043412743 0.017845988 0.0035630555 0.0008738385 0.004228904 0.0037626706 0.0005485919 0.0012451501 0.0011327795 0.0063437046 0.0014915279 0.0017658238 0.0017748972 0.005788133 0.0012800478 0.0015257277 0.0011795424 0.0062871706 0.0018956433 0.0014049816 0.001566209 0.007964354 0.0016499634 0.0019912631 0.037749544 0.002853197 6.985426e-07 2.0956277e-06 0.0 0.00071565685 3.492713e-07 0.0 0.0 3.492713e-07 1.3970852e-06 0.0 0.0 1.3970852e-06 0.0 3.492713e-07 1.0478138e-06 0.0020177402 0.0001082741 5.9376116e-06 1.0478138e-06 1.0478138e-06 1.0478138e-06 1.0478138e-06 1.7463564e-06 1.0478138e-06 1.7463564e-06 1.0478138e-06 1.0478138e-06 1.0478138e-06 6.985426e-07 6.985426e-07 6.985426e-07 0.0011805369 0.00031399488 3.4927127e-06 1.0128867e-05 0.00063183176 5.5883406e-06 3.492713e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026865946 0.00063392735 1.641575e-05 0.00017184147 0.0005546428 4.1912554e-06 2.4448989e-06 2.0956277e-06 1.7463564e-06 8.033239e-06 1.3970852e-06 2.3750446e-05 3.737203e-05 2.4448989e-06 5.9376116e-06 0.00013900996 0.0017945558 1.5018665e-05 5.5883406e-06 2.7941703e-06 1.29230375e-05 5.9376116e-06 2.5496804e-05 3.5974943e-05 1.7812836e-05 6.286883e-06 2.0956277e-06 1.7463564e-06 7.090207e-05 2.5147532e-05 1.1875223e-05 0.00011176681 0.0018588217 1.2224495e-05 8.382511e-06 1.5018665e-05 4.121401e-05 1.9559191e-05 4.645308e-05 4.4008182e-05 1.3272309e-05 1.641575e-05 5.5883406e-06 4.889798e-05 0.00013586653 1.5717207e-05 2.2702634e-05 0.0005570877 0.006152763 8.138021e-05 7.5093325e-05 8.766709e-05 0.00035555815 9.3953975e-05 0.00014669394 9.919304e-05 3.9467654e-05 0.00027522576 6.6361545e-06 0.00021689746 0.00035940015 2.1305548e-05 2.8640245e-05 0.0019744306 0.0051339385 0.00079109945 0.00053368654 8.138021e-05 0.0009755147 0.0008068167 0.0013785737 0.0007614114 4.2261825e-05 2.2353363e-05 2.165482e-05 3.9467654e-05 3.7022757e-05 2.8640245e-05 2.724316e-05 4.8548707e-05 0.0050721173 0.0010373357 0.0003807057 0.0007313741 0.0015001202 0.001078899 0.0016747558 0.00083894964 2.2702634e-05 5.2739964e-05 1.1525953e-05 4.610381e-05 4.0166196e-05 2.444899e-05 4.8548707e-05 0.0003150427 0.01975199 0.0017718532 0.00057245564 0.0008672406 0.0048824633 0.0023708534 0.00722293 0.0028975545 0.00024309281 0.0005116824 0.0001872094 0.0002577622 0.00035555815 0.00018825723 0.0001994339 0.00063811865 0.05189927 0.004129085 0.0022559431 0.0019988795 0.015851676 0.0060263267 0.021062456 0.011611524 0.0012573766 0.0015273633 0.0007111163 0.0009790075 0.0012175597 0.0008487292 0.0009021677 0.0036156564 0.06256566 0.0067870393 0.007162506 0.04457016 0.022390384 0.0099214 0.02948164 0.02247491 0.004943935 0.0052973977 0.0036851612 0.003807057 0.004334806 0.0040983493 0.0041004447 0.007583727 0.010687701 0.0008682884 0.0010726121 0.00064650114 0.0034776942 0.0020131997 0.003970516 0.00259299 0.0017124771 0.00046033954 0.0002675418 0.00043030223 0.0007701432 0.00070482946 0.0008623508 0.0016513546 0.03519956 0.004777333 0.0039509567 0.0041371183 0.012949931 0.014126975 0.009370948 0.0077810655 0.02040792 0.0021120433 0.0015137417 0.003015259 0.008058736 0.0040330356 0.0095015755 0.01857739 0.05261702 0.010755809 0.008274935 0.011448065 0.025190841 0.03530015 0.012856676 0.012737225 0.053227548 0.0048688417 0.0038713228 0.006666541 0.02246967 0.011655183 0.024378087 0.04631442 0.00019663972 0.00019768755 0.00015717208 0.000176382 0.00020048172 0.00017428637 0.00018651086 0.0001872094 0.00017114292 0.00018336742 0.00018022399 0.00017288928 0.00016276042 0.00016869802 0.00016834876 0.00017742981 17799.0 12.781055 227490.0 0.003301244 0.0016044661 0.0007297024 0.00065057806 0.0036001583 0.00086597214 0.0012967603 0.00080882676 0.002430876 0.0009099301 0.0008527847 0.0008000352 0.0036221372 0.0020044837 0.020093191 0.00060662004 0.00981142 0.008352015 0.008466306 0.0073102117 0.008743241 0.008048706 0.008070684 0.007622313 0.010132314 0.00807508 0.0076355003 0.007859686 0.013600598 0.009600422 0.012145589 0.007055255 0.0035825751 0.009675151 0.0033539936 0.018506307 0.009591631 0.007213504 0.00812783 0.004993626 0.018163435 0.015060003 0.0007472856 0.0013055519 0.007064047 0.005609038 0.004514484 0.005318915 0.008136622 0.0031385995 0.008976218 0.018352455 0.020181106 0.004646358 0.006017847 0.003670491 0.0036660952 0.005714537 0.00195613 0.0043826103 0.002369335 0.0043782145 0.004365027 0.0043826103 0.0026858323 0.04293815 0.003428722 0.01837883 0.017011737 0.083484985 0.009270737 0.008932261 0.0077497913 0.033698186 0.0018198602 0.002303398 0.025869269 0.024836257 0.04199745 0.037878588 0.013794013 0.0008747637 0.0445602 0.041658975 0.0655853 0.0140181985 0.004017759 0.0018286518 0.010163084 0.021359181 0.0011824695 0.00047914195 0.0022638359 0.000716515 0.000694536 0.00065057806 5.7322073 0.0 0.0 0.0 1.0 1432759.0 1482752.0 0.0 1.0 210.0 1.0 1.0 0.0 1.0 0.0 1508913000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 1251840.0 1024.0 4096.0 11.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -116224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -18432.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -1247232.0 -6144.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.246603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2157707 -6.2344403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2719 0.0 0.0 0.0 0.0 0.0 4.0615077 0.0 0.0 -6.474915 -5.105861 3.5821214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 -115792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -4484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20932.0 0.0 0.0 -18068.0 0.0 0.0 0.0 0.0 0.0 97.0 0.0 0.0 -1247108.0 -6114.0 32256.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -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 3.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 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 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 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 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -1.0 0.0 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 3.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 97.0 1318912.0 6114.0 1306624.0 32256.0 1449984.0 0.0 0.0 0.0 0.0 115404.0 1331200.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1327104.0 0.0 0.0 0.0 0.0 908.0 1307892.0 388.0 1314816.0 0.0 0.0


Input: 0.39649722 0.024336966 0.023411801 0.01171875 0.017513877 0.007709704 0.020623459 0.008403577 0.01016396 0.004972759 0.019364206 0.0042146384 0.002788343 0.0025056538 0.0037649055 0.0014262953 0.0031866776 0.0082236845 0.0056537827 0.004317434 0.0025699013 0.00312243 0.004574424 0.0037520558 0.004188939 0.0021844162 0.0016832853 0.0020430714 0.0025827507 0.0033151726 0.0026341488 0.0030324836 0.009534334 0.0025313527 0.0017603824 0.0011693051 0.0011821546 0.0016575863 0.0016575863 0.0014134457 0.007427015 0.0014519943 0.0075169615 0.0023514598 0.0038034539 0.0026726974 0.0024157073 0.0014519943 0.0044330796 0.0021844162 0.0013363487 0.0022358142 0.0015547903 0.0011179071 0.00084806746 0.00053967925 0.0013620477 0.0007324219 0.0011307566 0.00088661595 0.00089946546 0.0008095189 0.0012335526 0.0006424753 0.00089946546 0.003071032 0.0014391447 0.003071032 0.0021844162 0.002968236 0.0016190378 0.0012849506 0.0013106497 0.0023257607 0.0007324219 0.0003983347 0.0012849506 0.0015804893 0.001143606 0.000989412 0.0020944695 0.0007581209 0.0017475329 0.0035593132 0.002839741 0.00095086347 0.0015933388 0.00042403373 0.0017218338 0.0016575863 0.0005782278 0.0007709704 0.0010536596 0.0015033922 0.0006296258 0.004921361 0.00088661595 0.010716489 0.0024542557 0.004741468 0.006797389 0.022730777 0.003829153 0.004548725 0.0020173725 0.011101973 0.0015290913 0.000989412 0.00624486 0.00624486 0.010472348 0.02449116 0.012913754 0.0007581209 0.01768092 0.010922081 0.017321134 0.0040475945 0.0013491982 0.0009765625 0.0021972656 0.003250925 0.0015290913 0.0075169615 0.0005653783 0.002942537 0.00034693666 0.0005910773 0.002736945 0.000912315 0.00028268914 0.00047543173 0.00024414062 0.00034693666 0.0038677014 0.0012464022 0.00068102387 0.00033408718 0.00046258225 0.00023129112 0.0006938733 0.0012078537 0.0015290913 0.0004111842 0.00044973273 0.0008095189 0.00033408718 0.00024414062 0.00050113077 0.00026983963 0.00066817435 0.00044973273 0.00043688322 0.0003726357 0.0012207031 0.00021844161 0.0007452714 0.0003983347 0.00032123766 0.00024414062 0.0005782278 0.00028268914 0.0012721012 0.0015033922 0.00028268914 0.00029553866 0.0001927426 0.00032123766 0.00046258225 0.00026983963 0.00025699014 0.00029553866 0.00030838815 0.0001927426 0.00026983963 0.0007709704 0.00023129112 0.00024414062 0.0002055921 0.00010279605 0.00033408718 0.00017989309 0.00034693666 0.00021844161 0.00028268914 0.0004111842 0.00012849507 0.00016704359 0.00016704359 0.0002055921 0.00017989309 0.00011564556 0.00025699014 0.00021844161 0.00017989309 0.00014134457 0.00016704359 0.00015419407 0.0003854852 5.1398027e-05 0.00033408718 0.00012849507 0.0003726357 0.0007709704 0.0001927426 0.00028268914 0.00026983963 0.0002055921 0.00032123766 0.00015419407 0.0001927426 0.00024414062 0.00025699014 8.9946545e-05 0.0001927426 0.00033408718 0.00032123766 0.0006938733 0.0001927426 0.0001927426 0.00065532484 0.00026983963 0.0014005962 0.00023129112 0.00028268914 0.0005268298 0.00023129112 0.00024414062 0.0002055921 0.00046258225 0.0001927426 0.0005782278 0.00030838815 0.00017989309 0.00015419407 0.00034693666 0.00034693666 0.00025699014 0.00016704359 0.00032123766 0.0003726357 0.00021844161 0.00012849507 0.0002055921 0.00033408718 0.00024414062 0.00025699014 0.00024414062 0.00029553866 0.00029553866 0.00021844161 0.00014134457 0.00043688322 0.0002055921 0.00047543173 0.00060392683 0.106627606 1.3020834e-05 0.0 1.3020834e-05 1.3020834e-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 0.012519531 0.00011067709 0.00016927083 6.510417e-06 0.00012369792 3.90625e-05 0.00018229167 9.1145834e-05 6.510417e-06 6.510417e-06 0.0 2.6041667e-05 1.3020834e-05 0.0 1.3020834e-05 2.6041667e-05 0.011308594 4.5572917e-05 0.0001171875 0.00021484375 0.00024739583 0.0001953125 0.000859375 0.00028645832 1.3020834e-05 0.0 6.510417e-06 1.3020834e-05 0.0 0.0 6.510417e-06 1.953125e-05 0.011126302 5.2083335e-05 0.00014322916 0.00021484375 0.0002734375 0.00020182291 0.00095052086 0.00030598958 1.3020834e-05 0.0 6.510417e-06 1.3020834e-05 0.0 0.0 6.510417e-06 2.6041667e-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 0.019479167 0.0025130208 0.00045572917 0.0003841146 0.0001953125 0.0004296875 0.0009440104 0.0011458333 0.00044921876 0.00024088542 0.0001953125 3.2552085e-05 7.8125e-05 1.953125e-05 3.2552085e-05 7.161458e-05 0.03451823 0.00025390624 0.0039973957 0.00095052086 0.009817708 0.008535156 0.05904948 0.029433593 9.1145834e-05 0.0 1.3020834e-05 6.510417e-06 0.0 0.0 0.0 0.0 0.100436196 0.015065104 0.015292969 0.005201823 0.0052539064 0.004453125 0.02686849 0.0196875 0.0025585936 0.001061198 0.0010091146 0.00020833334 0.0005338542 0.00109375 0.0006640625 0.00061197917 0.18916667 0.031041667 0.02469401 0.011126302 0.0062239585 0.008125 0.023203125 0.028802084 0.0065299477 0.0038997396 0.003561198 0.001516927 0.0017317708 0.002923177 0.0022135417 0.0019075521 0.06917318 0.008619792 0.005625 0.0041210935 0.0043815104 0.0051432294 0.0091536455 0.006197917 0.006204427 0.0025716147 0.0028645834 0.0017252604 0.001796875 0.0017838542 0.001920573 0.0020507812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 801.0 12.739077 10204.0 0.0012740102 0.00019600157 0.0 0.00029400236 0.0004900039 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009800078 0.006370051 0.0 0.0020580164 0.001372011 0.0016660134 0.002744022 0.0012740102 0.0021560173 0.0016660134 0.0009800078 0.00039200313 0.00088200707 9.800078e-05 0.0 0.0023520188 0.00019600157 0.0023520188 0.0 9.800078e-05 0.009604077 0.005390043 0.015288122 0.010780086 0.011760094 0.0066640535 0.003626029 0.0044100354 0.008918071 0.0 0.00039200313 0.0065660523 0.007644061 0.0051940414 0.0039200312 0.008330067 0.0009800078 0.00872207 0.019698158 0.011662093 0.0023520188 0.0016660134 0.00078400626 0.00019600157 0.0 0.00078400626 0.0 0.0006860055 9.800078e-05 0.0 0.030870248 0.00029400236 0.052822422 0.010094081 0.022050176 0.033320267 0.13269307 0.006860055 0.028518228 0.0066640535 0.05272442 0.0010780087 0.0047040377 0.031752255 0.03381027 0.05586045 0.051842414 0.021168169 0.00019600157 0.050372403 0.04606037 0.09143473 0.017150138 0.005292042 0.0017640141 0.0070560565 0.0154841235 0.0017640141 9.800078e-05 0.0 0.00019600157 0.0 0.0 4.9249997 0.0 0.0 0.0 1.0 77824.0 90112.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1241642500.0 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 -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 -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 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.655282 0.0 3.1406128 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 -64580.0 0.0 840.0 0.0 0.0 0.0 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 83.0 72680.0 840.0 73728.0 0.0 0.0 0.0 0.0 12.0 81920.0 28.0 72540.0 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: 0.056689113 0.0082973065 0.006176113 0.0056623863 0.00575146 0.0049622264 0.0041999226 0.0054231305 0.0050461213 0.005624064 0.0037524833 0.004472322 0.0049549765 0.0031703978 0.0043242113 0.004639076 0.005033693 0.0037680194 0.0049270117 0.0041636718 0.004352176 0.0031745406 0.004102563 0.0038467355 0.005072015 0.003356831 0.003161076 0.0029301064 0.004155386 0.0034386541 0.0037876982 0.0037897697 0.006167827 0.0038135918 0.0034821553 0.0030295372 0.0049062967 0.0041729934 0.003847771 0.0037172681 0.0047240066 0.0038902366 0.0033299015 0.0030947889 0.0043708193 0.0037255539 0.0037255539 0.0035846934 0.005516347 0.0039503095 0.0031072176 0.0029021413 0.0036789456 0.0030688953 0.002688779 0.0028617475 0.004165743 0.0033081512 0.0035215134 0.003356831 0.0040093465 0.0032304707 0.003507013 0.0034541902 0.006600766 0.003947202 0.0036188727 0.0032180417 0.004158493 0.0032242562 0.003550514 0.0030626808 0.005000549 0.003781484 0.003701732 0.003589872 0.004129492 0.0031248252 0.0035577642 0.0034666192 0.005167303 0.0036281946 0.0036592667 0.003343366 0.0039233803 0.003372367 0.0033578665 0.0035339422 0.0046483977 0.0036426948 0.0038073773 0.0035007985 0.0041160276 0.0033868672 0.0036872316 0.003784591 0.005914071 0.0036364803 0.003343366 0.0029570356 0.0040093465 0.003046109 0.0032656859 0.0030378231 0.0049746553 0.0031631475 0.0032035415 0.003046109 0.0035805504 0.0028286038 0.0030792528 0.0031952555 0.0045044296 0.0032915792 0.0032304707 0.0031465758 0.0038902366 0.0033381875 0.0032936507 0.0036271587 0.0046235397 0.003292615 0.0034800838 0.0031745406 0.0040404187 0.003185934 0.0034728337 0.003343366 0.008639101 0.0045945393 0.004014525 0.003522549 0.0043677124 0.0034407256 0.003022287 0.0033858316 0.004536538 0.003844664 0.0029601427 0.0031952555 0.0037276254 0.0028016747 0.00284414 0.0029860362 0.005227376 0.0032025056 0.0034997629 0.0030316086 0.0036603024 0.003177648 0.003312294 0.0032615429 0.004540681 0.0028410326 0.0030440376 0.002708458 0.0035215134 0.0032263277 0.0029818933 0.0031517544 0.005010906 0.003411725 0.0032698286 0.0027964958 0.003773198 0.003014001 0.0030554307 0.0031828266 0.0041408855 0.0030005365 0.0031206822 0.0030119296 0.0036447663 0.002835854 0.002918713 0.0030326445 0.004662898 0.0031123965 0.003840521 0.0028617475 0.0035660502 0.0031548617 0.0029901792 0.0031186107 0.0042475667 0.0031434686 0.0033371518 0.0031786836 0.0036509808 0.0031921482 0.0033330088 0.0033464734 0.0067178044 0.004063205 0.0037265897 0.0033392233 0.004110849 0.003253257 0.0033009008 0.0032242562 0.0043324973 0.0033330088 0.003109289 0.003086503 0.0036468378 0.0029881077 0.003085467 0.0027902815 0.0042434237 0.0032781146 0.0030875385 0.002994322 0.0037110536 0.0030274657 0.002938392 0.0029497852 0.0039844885 0.0031123965 0.0027229583 0.0026369921 0.003523585 0.002946678 0.0035722645 0.0028897123 0.0049611907 0.0032263277 0.0033982603 0.0029673928 0.0038198063 0.0030751098 0.0032035415 0.002911463 0.0044464283 0.0054542026 0.003463512 0.0031351827 0.003788734 0.003085467 0.0032480783 0.0031962912 0.004610075 0.0033205799 0.0034169038 0.0030419661 0.0037286612 0.0030875385 0.0033133298 0.0032418638 0.0043469975 0.003030573 0.0031942197 0.0028648546 0.004006239 0.0030916815 0.004225816 0.004515823 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922591 0.062012237 0.06246627 0.05532678 0.060595132 0.059564605 0.054943834 0.05448513 0.060476825 0.053156756 0.052116368 0.052941933 0.056414906 0.050534256 0.056668125 0.053810567 4026.0 5.703428 22962.0 0.017202334 0.010452052 0.009319746 0.008710043 0.013457016 0.0124989115 0.011889208 0.011453706 0.012586012 0.009711698 0.008448741 0.0086229425 0.013892518 0.010539152 0.011802108 0.010016549 0.016723283 0.011932759 0.008710043 0.007534187 0.009798798 0.008492292 0.007839038 0.008318091 0.010364951 0.008492292 0.009624598 0.008884244 0.011584356 0.009014894 0.009668147 0.009189095 0.018029789 0.010974654 0.010364951 0.009101994 0.010887553 0.008797143 0.010669802 0.00827454 0.014197369 0.011584356 0.009711698 0.008927794 0.011410156 0.0093632955 0.011715007 0.009537497 0.014763522 0.009581047 0.009972999 0.009101994 0.012019859 0.0093632955 0.009581047 0.009755248 0.013674767 0.009232645 0.010495601 0.009493946 0.011105305 0.009798798 0.010408501 0.010669802 0.017986238 0.010974654 0.009711698 0.00818744 0.013108614 0.008230991 0.0093632955 0.008361641 0.015460325 0.009276195 0.008927794 0.008710043 0.011366606 0.008013239 0.009885899 0.007839038 0.0132392645 0.00805679 0.008710043 0.008840693 0.011497256 0.009537497 0.008230991 0.007882589 0.010887553 0.008927794 0.011976309 0.008492292 0.011366606 0.008927794 0.009972999 0.008710043 6.5545125 0.0 0.0 0.0 14.0 965494.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16434842 0.015454685 0.008404539 0.008469517 0.009243165 0.010006661 0.0070603 0.005912011 0.009938636 0.005495744 0.005989173 0.0047809826 0.0045434055 0.009742686 0.002363586 0.014906432 0.0054135057 0.0015127764 0.0014477981 0.0014934859 0.0028620916 0.005892721 0.0023747543 0.0023351582 0.005308931 0.0035616239 0.0011503192 0.0011513345 0.0015706477 0.0017838578 0.00096959824 0.0025280626 0.0102381455 0.0019402119 0.0009990416 0.0010853409 0.01774111 0.0014417063 0.0007513118 0.0007848162 0.0032915578 0.0013564223 0.0008233971 0.0021331161 0.0010528518 0.0019503647 0.0015950146 0.0008437028 0.0070014135 0.0015026235 0.0016335954 0.0068003866 0.0020569698 0.0011239217 0.0008589321 0.00066196657 0.003434713 0.0025676587 0.00094624667 0.003392071 0.0014082019 0.002100627 0.0006416608 0.0008802531 0.005360711 0.01619889 0.0022021558 0.0031991666 0.013817029 0.0072298525 0.0014153089 0.0018965545 0.048163146 0.0061262366 0.0009157881 0.0017787813 0.010390438 0.0035595933 0.0011350899 0.0012092058 0.0034073002 0.0010569129 0.0010589435 0.002050878 0.0031524636 0.0020275265 0.0013452541 0.0021757581 0.002015343 0.00067008886 0.00070968503 0.0016843597 0.0040956642 0.0015097305 0.0013614987 0.0021909876 0.0024437937 0.0019199061 0.00088431424 0.0028590458 0.002725028 0.003076317 0.006159741 0.0009838123 0.0019178755 0.0022204309 0.0007706022 0.0010010721 0.0029159018 0.001132044 0.0022052014 0.002117887 0.0032539922 0.0005908965 0.0026478663 0.002406228 0.010839195 0.006570932 0.0010579282 0.0013066733 0.0018336067 0.0011838237 0.00070460857 0.00095639954 0.0023554638 0.0011361052 0.0011371205 0.0010822951 0.005027697 0.00234125 0.0009716288 0.013528688 0.0051535927 0.008936549 0.0009919346 0.0012254504 0.0024864357 0.017749233 0.00093507854 0.0347969 0.0017168489 0.013581483 0.0008284735 0.0009157881 0.0028235107 0.000652829 0.0006416608 0.00077161746 0.0013706363 0.00082238176 0.0006203398 0.0007330366 0.0011239217 0.0006081564 0.0004974902 0.000595973 0.0012224045 0.00053911697 0.0005858201 0.00073608244 0.0015300362 0.0006711041 0.0005878507 0.0005502851 0.00088939065 0.0006436914 0.0005045972 0.0005350558 0.00092695624 0.0005655144 0.000624401 0.00071273086 0.0009665524 0.00061830925 0.00061932456 0.0008376111 0.0013858656 0.0006203398 0.0006071411 0.0005908965 0.0009949805 0.00075740344 0.0036042659 0.0025270472 0.0029037183 0.0018183775 0.0018691418 0.0009909193 0.0012660618 0.0007269449 0.00086806965 0.0008721308 0.009844215 0.005906935 0.002427549 0.0055485386 0.00406216 0.0013746974 0.0022711952 0.004066221 0.004066221 0.003399178 0.00157877 0.0025646128 0.02471105 0.0013543917 0.0017574603 0.0020458016 0.0029758038 0.0014995777 0.0024295799 0.001600091 0.0010264543 0.0010690963 0.0009421855 0.0010548823 0.0025361849 0.0014691191 0.0009868582 0.0015594795 0.0007969996 0.00064267614 0.0008071525 0.0008142595 0.0027301044 0.0012782452 0.0011482886 0.0008883754 0.0010447295 0.0005858201 0.0007005474 0.0006447067 0.013937849 0.004107848 0.0012112363 0.0039586006 0.002678325 0.0011208759 0.0007990302 0.0008183206 0.0023189136 0.000989904 0.00097264413 0.00095436897 0.0009929498 0.0017239559 0.0024011517 0.0017645673 0.00409871 0.001965594 0.001851882 0.0016021215 0.0018244692 0.0016478094 0.0027788382 0.03298868 0.0010416667 0.00625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00094706216 2.339681e-05 1.7293294e-05 3.5603841e-06 3.5603841e-06 5.086263e-06 5.086263e-06 4.577637e-06 5.086263e-06 3.0517579e-06 3.0517579e-06 1.5258789e-06 2.0345053e-06 3.0517579e-06 0.0 1.42415365e-05 0.000898234 8.138021e-06 8.138021e-06 1.0681152e-05 1.93278e-05 4.577637e-06 5.086263e-06 2.5431316e-06 2.0345053e-06 5.086263e-06 2.0345053e-06 4.577637e-06 2.0345053e-06 3.0517579e-06 7.1207683e-06 5.900065e-05 0.005408732 0.0008641561 0.0001180013 6.8155925e-05 8.239746e-05 5.493164e-05 7.1716306e-05 5.0354003e-05 0.00014190674 2.4922689e-05 2.339681e-05 2.4414063e-05 1.7293294e-05 2.0345053e-05 2.4414063e-05 0.00029652912 0.0032602947 2.4414063e-05 5.238851e-05 3.1026204e-05 7.019043e-05 4.1707357e-05 0.00010172526 7.3750816e-05 3.2552085e-05 2.4414063e-05 2.0345053e-05 2.746582e-05 2.7974447e-05 2.746582e-05 0.00011698405 0.0002339681 0.012713623 0.0007614136 0.0007492065 0.00019887289 0.00029500326 0.00021311441 0.0017593384 0.00088094076 0.00032399496 9.6130374e-05 7.680257e-05 8.0871585e-05 9.562175e-05 9.9690755e-05 0.00013580322 0.00026957193 0.016615296 0.0012659709 0.0017038981 0.00060068764 0.00048014324 0.0004603068 0.0027582804 0.0014989217 0.00030263266 0.00012257895 0.00034942626 0.00013834635 0.00017954508 0.00014190674 0.00012512207 0.00034027098 0.012580363 0.00083312986 0.0015045166 0.0007115682 0.0006225586 0.0005732218 0.0027989706 0.0017379761 0.00027567547 0.00013478597 8.188884e-05 0.00013376871 0.00016682943 0.00017038982 0.00015004475 0.000440979 0.025595602 0.0024139404 0.002165222 0.0019475301 0.0017267863 0.0017506917 0.0046173097 0.0030863443 0.0007405599 0.0005991618 0.00043792726 0.00043436687 0.00074361166 0.00086568197 0.00053863524 0.0012949626 0.018723551 0.0013834635 0.0020843507 0.0018285116 0.0011561076 0.0011250813 0.0019002279 0.0017222087 0.0011850992 0.00085601804 0.0008748372 0.00084025064 0.00095876056 0.0009343465 0.00085245766 0.0010747274 0.0122599285 0.0007583618 0.0008000692 0.0008916219 0.0015848796 0.0009689331 0.0010777791 0.00081685383 0.0011128744 0.0008026123 0.0010152181 0.0008361816 0.0012120565 0.00068511965 0.00059305824 0.00062611897 0.013143412 0.0014216105 0.0024398803 0.0015955607 0.0065373736 0.001214091 0.0016220093 0.0014928182 0.0061757406 0.0007792155 0.00044403077 0.0010518392 0.004374186 0.0011230469 0.0016896565 0.0028121949 0.14072825 0.019914754 0.028983561 0.02307434 0.09374593 0.01866099 0.013686117 0.021132406 0.0844106 0.008016459 0.0058222455 0.0147226965 0.05792389 0.013675435 0.026434327 0.042609658 0.020887248 0.004009501 0.005952962 0.0046096803 0.017018637 0.0039967853 0.0033370971 0.005096944 0.015204366 0.001465861 0.0012207031 0.0026733398 0.009970093 0.0030298869 0.0056121824 0.00945638 0.0017918905 0.0013931275 0.0014185588 0.001395162 0.0014043172 0.0013971964 0.0014943441 0.0014221191 0.0013941447 0.0013885498 0.0013880412 0.0014241537 0.001387024 0.0014282226 0.0013905843 0.0013992309 3848.0 10.225832 39349.0 0.04256779 0.0018551933 0.0026684287 0.0017281253 0.027980382 0.0044982084 0.0006861674 0.002007675 0.004981067 0.003481664 0.001677298 0.0025667741 0.003608732 0.011359883 0.011181987 0.002058502 0.029683093 0.0032529416 0.005819716 0.010495819 0.006150093 0.0018806069 0.005895957 0.0010419579 0.008971003 0.0117665 0.0039899363 0.0056672343 0.002897151 0.0017027117 0.0009657171 0.002007675 0.011080332 0.0685405 0.0033037688 0.011664845 0.02198277 0.009707998 0.005057308 0.008437318 0.028285343 0.006887087 0.0011690259 0.0022363975 0.01092785 0.0055909934 0.0039645224 0.0037358 0.0073699458 0.0016010572 0.0036849729 0.010546647 0.017103357 0.016900048 0.014231619 0.022897659 0.0049302396 0.002515947 0.0015756435 0.0069379145 0.015222751 0.014790719 0.013240489 0.01860276 0.0036849729 0.020330885 0.005743475 0.018653587 0.01240184 0.039924774 0.022872245 0.0073445323 0.009123485 0.023533 0.0059721977 0.0038374546 0.021169534 0.008183181 0.020229232 0.022770591 0.011614018 0.00091488985 0.02564233 0.01967013 0.040204324 0.01430786 0.004853999 0.006226334 0.0070903962 0.006455056 0.0024142927 0.0007878218 0.004981067 0.0011690259 0.004472795 0.0016010572 5.957038 0.0 13.0 0.0 4.0 984944.0 1097728.0 0.0 23.0 283.0 1.0 1.0 1.0 0.0 0.0 1541543400.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 2.0 5.0 2.0 741888.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 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 168448.0 0.0 0.0 0.0 0.0 35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -741888.0 0.0 13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.048223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.854368 0.0 0.0 0.0 0.0 5.994689 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.45996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.522863 0.0 5.2023315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4394.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168104.0 0.0 0.0 0.0 0.0 35544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -741404.0 0.0 13472.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -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 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 3.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 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 1.0 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 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 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 2.0 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 -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 1.0 0.0 0.0 0.0 2.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 1.0 0.0 -1.0 0.0 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 0.0 1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 -1.0 -3.0 1.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 0.0 600.0 917072.0 260.0 909300.0 13472.0 1073152.0 35544.0 1036288.0 5488.0 979456.0 1832.0 1089536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2416.0 749568.0 0.0 0.0 0.0 0.0


Input: 0.009179713 0.004352216 0.0040544383 0.0041654985 0.0043231174 0.0038953645 0.0038095228 0.0038968194 0.004350276 0.00375763 0.0037726643 0.003828437 0.004134945 0.0037649046 0.00375666 0.004705282 0.004179078 0.0037692694 0.0037503552 0.0037838188 0.004050073 0.0038492912 0.003729016 0.0037493852 0.0040394035 0.0037876987 0.0038648106 0.0037362908 0.0037198015 0.0037644196 0.0038007933 0.0037474453 0.0038129177 0.0037692694 0.0038793602 0.003859961 0.0040447386 0.0037537501 0.0037838188 0.003783334 0.0038788752 0.0037658745 0.0038221325 0.0038143727 0.003829407 0.0037450204 0.0038745103 0.003729501 0.003854626 0.0037876987 0.003858021 0.004004485 0.0038085529 0.0038366818 0.0037944885 0.003733381 0.0039186436 0.0038779052 0.003803703 0.003934163 0.003826982 0.003834742 0.0037396858 0.0037978834 0.004029219 0.0038366818 0.003952592 0.0039196135 0.0038997293 0.00438471 0.0039753863 0.0039467723 0.0038939095 0.0037387158 0.003781394 0.0038454114 0.003833287 0.0039579268 0.0038429867 0.0037964284 0.0043546413 0.0038463813 0.003834742 0.004010305 0.003924948 0.0038851798 0.004091297 0.003995755 0.0038502612 0.0038216475 0.0037852738 0.0038187376 0.0037804241 0.0038866347 0.00388227 0.0038672355 0.003805158 0.0037901236 0.003913309 0.0038206775 0.0038381368 0.003926888 0.0043881047 0.0038090379 0.0039855707 0.0038163126 0.0041960524 0.0037081619 0.0038206775 0.003858506 0.0038711154 0.0037988534 0.003859961 0.0037445354 0.0039409525 0.0038235874 0.0042590997 0.0043546413 0.0037915786 0.003807098 0.0037886687 0.0037134967 0.0037649046 0.0037639346 0.0038463813 0.003930768 0.0038231025 0.0037915786 0.003933678 0.003857051 0.0037624799 0.0045850067 0.003983631 0.004197507 0.0039923606 0.0038400767 0.003979266 0.004436118 0.0038497762 0.0052969586 0.0038245572 0.0044710366 0.0039036092 0.0038090379 0.0037658745 0.003830377 0.0037736343 0.0037396858 0.0037474453 0.0037435654 0.003861416 0.0037396858 0.0036397798 0.003781879 0.0038172826 0.0037906086 0.003758115 0.0038114628 0.0038895446 0.003805158 0.00375763 0.003834257 0.003807583 0.0037896386 0.0037843038 0.0037668445 0.0037649046 0.0037770292 0.0037935185 0.003760055 0.0037236812 0.0037726643 0.0037362908 0.0037459903 0.0037392008 0.003704767 0.0038779052 0.0037760593 0.0037154367 0.00375666 0.0037775142 0.003780909 0.0038968194 0.003806128 0.003956472 0.0037988534 0.0038260121 0.0038027333 0.003805643 0.0038444414 0.003830377 0.003782364 0.0041713184 0.0039598667 0.0038667505 0.003861901 0.0038657805 0.0037663595 0.003986056 0.0038725703 0.0038100078 0.0038973044 0.0039220382 0.0038711154 0.0037973984 0.0037256212 0.0038813 0.0038531711 0.0038182526 0.0037915786 0.0037847888 0.003833772 0.0037164066 0.0037741193 0.003829407 0.003827467 0.0038512312 0.0037969134 0.0037644196 0.003826982 0.0038929395 0.0037023423 0.0037682995 0.0037886687 0.0038526861 0.0037915786 0.0037673295 0.0038080679 0.0038216475 0.0036771232 0.0037741193 0.0038458963 0.0046989773 0.0038522012 0.0038492912 0.00401467 0.0040481333 0.0036761533 0.0038245572 0.003951622 0.0039865407 0.003833287 0.0037920636 0.003882755 0.0038735403 0.003781879 0.0038231025 0.003783334 0.003986056 0.0038221325 0.0038167976 0.0038032182 0.0040161246 0.0038167976 0.003959382 0.006134035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00025918707 1.0435434e-05 1.5774494e-05 1.0678119e-05 2.3540399e-05 2.6695297e-05 1.2619595e-05 2.1356238e-05 3.8586837e-05 5.3390595e-06 3.882952e-06 6.7951664e-06 1.504644e-05 9.222012e-06 1.7473285e-05 2.03855e-05 0.0003322351 5.314791e-05 5.8729653e-05 1.9172077e-05 9.950065e-06 4.3683212e-05 0.00043828823 7.935784e-05 4.6110057e-05 7.2805356e-06 0.0 0.0 5.751623e-05 9.2462804e-05 0.00011357635 0.0001395436 0.0054851556 0.0007365475 0.00052735343 0.0006266114 0.0014102397 0.0013347649 0.0006610726 0.0011355209 0.003425492 0.00030772397 0.0002067672 0.0005324498 0.0012219165 0.00045503347 0.0012871986 0.0020179218 0.0034225797 0.00075062324 0.000398488 0.00064602616 0.001173137 0.0012854999 0.00070014485 0.0009481684 0.0020805344 0.00019560372 0.00032374114 0.0003776171 0.00091928896 0.00033903026 0.000983843 0.0018572647 0.06007534 0.059779022 0.06015421 0.06012072 0.060032383 0.059949387 0.060544692 0.05983508 0.06014305 0.059996467 0.059729755 0.060129702 0.059904974 0.05988556 0.05986833 0.0600899 9432.0 5.6307254 53109.0 0.00988533 0.010506694 0.011109228 0.009998306 0.010807961 0.010713815 0.010337231 0.010318402 0.010318402 0.009395771 0.011033911 0.010054793 0.010845619 0.010054793 0.011203374 0.010167768 0.009979476 0.010092451 0.01058201 0.010563182 0.010506694 0.010054793 0.009320454 0.010224256 0.01060084 0.010638498 0.01060084 0.009941818 0.009715867 0.009715867 0.010092451 0.010487865 0.01058201 0.010073622 0.00988533 0.010506694 0.009245138 0.009828842 0.010638498 0.010939766 0.010243085 0.010563182 0.009697038 0.011015082 0.011184545 0.010035964 0.010299573 0.010713815 0.009979476 0.010544352 0.01176825 0.010205426 0.010299573 0.010224256 0.010299573 0.010676157 0.010261914 0.010450206 0.010751474 0.010337231 0.009998306 0.010657327 0.010280743 0.010958594 0.010318402 0.011090399 0.010280743 0.010299573 0.011241033 0.010393718 0.010789132 0.011278691 0.010299573 0.010318402 0.011241033 0.009678209 0.010224256 0.010638498 0.012276638 0.010751474 0.010525523 0.009395771 0.011052741 0.011561129 0.010864449 0.010506694 0.010864449 0.010205426 0.009527575 0.010789132 0.010694986 0.01037489 0.009376942 0.009753526 0.010393718 0.009979476 6.583104 1.0 0.0 0.0 35.0 2061938.0 352256.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1442778200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 166400.0 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 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166400.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.991176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9657164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5911202 0.0 7.987367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20643.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166372.0 0.0 14632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 192624.0 220.0 187380.0 14632.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183424.0 0.0 0.0 916.0 172032.0 0.0 0.0 0.0 0.0