Input: 0.22800191 0.016286215 0.0063934326 0.0041859946 0.010116577 0.002878825 0.0034281414 0.002090454 0.00827535 0.0027414958 0.0022939045 0.0013631185 0.0063730874 0.0031483967 0.0013987223 0.0036112468 0.006749471 0.0015869141 0.0012257894 0.0012105306 0.0047098794 0.00811259 0.001566569 0.001042684 0.0043385825 0.0012868246 0.0012461344 0.0011850992 0.0038045247 0.0015513102 0.0009206136 0.0012461344 0.0062357583 0.0018615723 0.0024464924 0.0010477701 0.016133627 0.0030771892 0.00074768066 0.00072224933 0.0023549397 0.0008748372 0.000890096 0.0014648438 0.002090454 0.0010528564 0.004969279 0.0018870035 0.004837036 0.0018920898 0.0022684734 0.0048675537 0.0023345947 0.0010274252 0.00076293945 0.0009053548 0.0019785564 0.0012156168 0.0017089844 0.002553304 0.001953125 0.0014038086 0.0010477701 0.002588908 0.011474609 0.02229309 0.010274251 0.00247701 0.008026123 0.0031840007 0.006627401 0.0022888184 0.0041046143 0.0015920004 0.00088500977 0.00086466473 0.0057017007 0.0023701985 0.002960205 0.0012969971 0.009597778 0.0041656494 0.0034383137 0.0038808186 0.004135132 0.0022939045 0.005706787 0.0044199624 0.0028533936 0.0013631185 0.0022176106 0.00298055 0.002375285 0.0019989014 0.00646464 0.00801595 0.0010732015 0.008529663 0.0016530355 0.003168742 0.006245931 0.014292399 0.0016123453 0.0035349529 0.0095825195 0.008005778 0.009017944 0.0007578532 0.0072631836 0.0040639243 0.0052134194 0.0062204995 0.005320231 0.000386556 0.0063832602 0.0073242188 0.013427734 0.007405599 0.0020701091 0.0015513102 0.0020039876 0.0020446777 0.0010630289 0.0004272461 0.0020345051 0.0004374186 0.001449585 0.00084940594 0.0033416748 0.0017293295 0.00062561035 0.008168538 0.00445048 0.005304972 0.0032043457 0.0011647543 0.0027058918 0.008377075 0.0021972656 0.035858154 0.0015309652 0.0054829917 0.0024414062 0.00067647296 0.026540121 0.00029500326 0.0005086263 0.0005137126 0.0012054443 0.00039672852 0.0010935465 0.00044759116 0.0011393229 0.0009613037 0.00040690103 0.0004933675 0.00062561035 0.00031026205 0.0005340576 0.0002187093 0.0012817383 0.0019276937 0.00020345052 0.00034586588 0.00046284994 0.0003153483 0.0002187093 0.0002339681 0.0012156168 0.000193278 0.0002644857 0.0004119873 0.0006459554 0.0008392334 0.00037638345 0.0006052653 0.0031789143 0.00024414062 0.00040690103 0.00057474774 0.00085957843 0.000193278 0.00040690103 0.0004018148 0.00091552734 0.00044250488 0.00032043457 0.00045776367 0.00069173175 0.0002644857 0.00070699054 0.00040690103 0.00730896 0.002319336 0.003616333 0.0038655598 0.0051879883 0.000579834 0.0016021729 0.0031738281 0.0012664795 0.0017547607 0.00064086914 0.000986735 0.0027618408 0.0007019043 0.0024668376 0.0013275146 0.0035095215 0.002105713 0.0032043457 0.003229777 0.00084940594 0.0025634766 0.0007985433 0.0011698405 0.005976359 0.0054982505 0.0006459554 0.000869751 0.0012664795 0.00085957843 0.0006357829 0.0012257894 0.0026346843 0.0005340576 0.00036621094 0.0008951823 0.0016174316 0.00029500326 0.00035603842 0.00022379558 0.0068206787 0.0012715658 0.00029500326 0.0018920898 0.0017089844 0.0004018148 0.0002339681 0.00016784668 0.0016886393 0.0014953613 0.00041707358 0.0006052653 0.0006205241 0.00033569336 0.0019327799 0.0005340576 0.0023142498 0.0008951823 0.0007019043 0.000386556 0.0009969076 0.00045776367 0.0008951823 0.02675883 0.03141361 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009433287 0.0 0.00012015298 4.090314e-05 6.902405e-05 4.6016034e-05 0.00053174084 0.00022496728 0.0 0.0 2.5564464e-06 2.5564464e-06 0.0 0.0 0.0 0.0 0.009246666 8.947562e-05 0.0001380481 0.000107370746 6.902405e-05 3.3233802e-05 0.00013037876 7.15805e-05 0.000115040086 2.3008017e-05 3.3233802e-05 4.857248e-05 0.00014060455 2.3008017e-05 7.15805e-05 0.00013037876 0.0043203942 1.7895125e-05 1.7895125e-05 2.3008017e-05 0.00045504744 7.4136944e-05 1.2782231e-05 2.5564463e-05 2.3008017e-05 2.812091e-05 1.7895125e-05 2.045157e-05 2.5564463e-05 0.00013293521 2.045157e-05 2.045157e-05 0.0040187337 1.2782231e-05 7.924984e-05 1.2782231e-05 0.00031188646 0.00019428993 0.00029654778 0.00015594323 7.669339e-06 1.5338677e-05 1.5338677e-05 1.2782231e-05 2.3008017e-05 4.857248e-05 1.2782231e-05 1.7895125e-05 0.0037605325 6.6467604e-05 8.180628e-05 0.00012526587 0.00010992719 8.691918e-05 0.0003911363 0.0001712819 2.5564463e-05 0.0 1.5338677e-05 5.1128927e-06 2.045157e-05 0.0 2.045157e-05 0.00035534604 0.00703534 0.00035023314 0.00016361257 5.8798265e-05 0.00064166804 0.0001763948 0.00059053913 0.00030166068 0.00010225785 7.924984e-05 3.8346694e-05 8.947562e-05 0.00028376555 0.000143161 0.00012015298 0.00029654778 0.017723842 0.0016182305 0.0035483476 0.0018508672 0.004312725 0.0024209546 0.012112442 0.005447787 0.00032211223 0.0002812091 0.00015083034 0.00031955578 0.0004090314 0.00012526587 0.00036557182 0.0013472472 0.019101767 0.00044737812 0.003911363 0.003374509 0.01129438 0.008300781 0.02529348 0.014837614 0.00079249835 0.00036557182 0.00013549166 0.00013037876 0.00022241083 0.00010992719 0.00016616902 0.00052151503 0.021001207 0.0023877209 0.0043561845 0.0042437008 0.008837635 0.0057877945 0.01659645 0.009031925 0.0008640789 0.00031188646 0.00022496728 0.00032466868 0.0009893448 0.00031699936 0.0005164022 0.002743067 0.023054034 0.0036097022 0.004624611 0.004634837 0.010051947 0.0036557182 0.011473332 0.006327205 0.0015261985 0.00089219975 0.00060332136 0.0011555137 0.0010864896 0.0005854262 0.00075415167 0.0044993456 0.005087328 0.0016565772 0.0017025933 0.0019863588 0.0015849967 0.0010813768 0.00058798265 0.0004090314 0.00029654778 0.00018662059 0.00016105612 0.00016872546 0.00019428993 0.00014827389 0.0001048143 0.00035023314 0.07017189 0.012853812 0.01202808 0.007326775 0.01999141 0.018391075 0.009602012 0.007444372 0.03853076 0.015083034 0.0034639847 0.002983373 0.016000798 0.012662078 0.007045566 0.013436682 0.073275425 0.018485663 0.016921118 0.0093182465 0.028701223 0.02563093 0.012720877 0.009645472 0.044737812 0.01816355 0.0045428053 0.0050259735 0.019978628 0.020155024 0.010448196 0.017327594 0.0009305465 0.00037068472 0.00036045894 0.0004090314 0.00040136208 0.00035534604 0.00026587042 0.0003144429 0.00036557182 0.0004345959 0.00016872546 0.00021985438 0.0002760962 0.00012270942 0.00011759653 0.00012270942 1489.0 22.623238 33686.0 0.020661402 0.0023451878 0.009558867 0.0028795346 0.0043638307 0.0063231015 0.0010093214 0.0012171229 0.0020186428 0.0017217835 0.0012171229 0.0011874369 0.0016030398 0.0014546103 0.02576738 0.008252687 0.01558511 0.0035919966 0.0039185416 0.009796355 0.002315502 0.0016624117 0.0012171229 0.0015733539 0.0017217835 0.0015139821 0.005105979 0.0013358665 0.0011874369 0.0014842962 0.0011874369 0.0101229 0.035207506 0.0143679865 0.011043163 0.008757347 0.0067387046 0.010983791 0.017306892 0.0063527874 0.009855727 0.0043341448 0.00086089177 0.001988957 0.009083892 0.009469809 0.0054622097 0.003087336 0.016475687 0.005818441 0.004304459 0.0101229 0.008816719 0.0039185416 0.004541946 0.007302737 0.008341745 0.003473253 0.009262008 0.003087336 0.0010686932 0.0030279642 0.009915099 0.027845396 0.0010093214 0.045775693 0.0068277624 0.01668349 0.026272042 0.08071602 0.0061153 0.01784124 0.009351065 0.03574185 0.001157751 0.0018998991 0.030012468 0.02155198 0.027429793 0.033634152 0.02526272 0.0007421481 0.032802943 0.03989788 0.04485543 0.023570623 0.008608918 0.0057293833 0.0059668706 0.0096182395 0.0016327257 0.00014842961 0.000385917 0.00041560293 0.0007124622 0.0005046607 5.737921 0.0 1.0 0.0 1.0 196608.0 200704.0 0.0 0.0 332.0 0.0 1.0 0.0 0.0 0.0 1114011000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 114688.0 4096.0 4096.0 5.0 0.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 -114688.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.73258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.806772 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3956575 0.0 5.8891697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20282.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31212.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 -113953.0 0.0 24576.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 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 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 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 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 125632.0 23072.0 176128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1376.0 118784.0 0.0 0.0 0.0 0.0


Input: 0.3014772 0.027702946 0.004007274 0.0034348061 0.004995061 0.004624641 0.0027613146 0.0021439476 0.007486979 0.0019755748 0.0029296875 0.0019755748 0.0027051903 0.0033113325 0.001324533 0.010046246 0.008407418 0.0028062142 0.0013918822 0.001167385 0.002267421 0.0042654453 0.0014031071 0.0008979885 0.0029409123 0.0012908585 0.0008530891 0.0015153557 0.0012459591 0.001010237 0.0008081897 0.0013133081 0.0097431755 0.0006959411 0.0009541128 0.0008418642 0.011382004 0.0011898348 0.0005949174 0.0010888111 0.0039286995 0.0010551364 0.0007408405 0.002099048 0.0009653376 0.0061961208 0.0014704561 0.0007071659 0.004007274 0.0016163794 0.0016163794 0.005623653 0.0017623025 0.0011224856 0.0016500539 0.0009428879 0.003973599 0.0016949533 0.0008418642 0.004445043 0.0011898348 0.0017847521 0.0033337823 0.0074308547 0.0136943245 0.007217583 0.001324533 0.0021439476 0.0057134517 0.0048154634 0.0013357579 0.0014255567 0.044944324 0.006791038 0.0012796336 0.0011224856 0.0073635057 0.0035470545 0.0009428879 0.0008979885 0.0033225575 0.0006959411 0.0011898348 0.0017623025 0.0023796696 0.002020474 0.0012908585 0.0021102729 0.002267421 0.0010214619 0.0007632902 0.0014255567 0.0035358297 0.0011561603 0.0010775862 0.0021214979 0.0027949892 0.0041644215 0.0014704561 0.0034797054 0.0035582795 0.006162446 0.0030756106 0.0008867636 0.0023123205 0.0031654094 0.0005612428 0.0010326868 0.003659303 0.0017398527 0.0033899066 0.0030980604 0.0038052262 0.0005836925 0.0054103807 0.0044787177 0.013189206 0.006588991 0.001795977 0.0014031071 0.0019755748 0.0017398527 0.001167385 0.0005724677 0.0013806573 0.0007296157 0.0006398168 0.0008081897 0.002514368 0.0019306752 0.0006173671 0.013088183 0.0026939656 0.0058930498 0.0005949174 0.0006173671 0.0024245689 0.009226832 0.0009428879 0.026097791 0.0006734914 0.0076665767 0.0004153197 0.00047144396 0.0020092493 0.0004377694 0.0005051185 0.00042654455 0.0007408405 0.0005275682 0.00039286996 0.0004377694 0.0010326868 0.0004938937 0.00034797055 0.0003816451 0.0005949174 0.0004153197 0.0004377694 0.00047144396 0.0019194505 0.0011224856 0.0014255567 0.001167385 0.001481681 0.0011449354 0.0012684087 0.0010214619 0.0018745511 0.0008979885 0.0009092134 0.0008979885 0.0008755388 0.0007183908 0.0011337105 0.0010551364 0.0018633262 0.0006061422 0.0005612428 0.000550018 0.0007296157 0.0005724677 0.0010663613 0.0007745151 0.0022112967 0.0017398527 0.0016837284 0.0008530891 0.0008306394 0.00042654455 0.00047144396 0.0006510417 0.008239045 0.003659303 0.0015041308 0.005556304 0.0040970724 0.0016725035 0.0015265804 0.002817439 0.00429912 0.0032439835 0.0013694324 0.0022337465 0.009249282 0.0008755388 0.0011561603 0.0014367816 0.002660291 0.0017510776 0.0020092493 0.001324533 0.0010775862 0.0008418642 0.0010551364 0.0008867636 0.002200072 0.0014143318 0.0006622665 0.0014031071 0.00047144396 0.0007071659 0.0007071659 0.0007071659 0.003356232 0.001167385 0.0009877874 0.0009204382 0.0013133081 0.0005275682 0.0008194145 0.0007408405 0.0110901585 0.0021776222 0.0008755388 0.0038501257 0.0035695042 0.0006173671 0.0005275682 0.0004602191 0.0035807292 0.0012796336 0.0022561962 0.0010439117 0.0008755388 0.0009990123 0.0019755748 0.0011898348 0.0033225575 0.0022337465 0.0010775862 0.0017735272 0.0011449354 0.0013357579 0.0018857758 0.021484375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009941634 0.00016465299 0.0001987191 1.1355378e-05 0.00028388444 0.0001532976 0.00018736374 0.00013626454 5.10992e-05 3.9743823e-05 7.948765e-05 1.1355378e-05 1.7033068e-05 7.948765e-05 0.00011923147 0.0001532976 0.025759675 0.0010503725 0.0012490916 0.00018736374 0.001260447 0.00032930597 0.0026855469 0.0013796784 0.00011355378 5.677689e-05 0.00013626454 5.677689e-05 6.813227e-05 0.00014761991 0.0001987191 0.0002043968 0.085721746 0.0026855469 0.0032192497 0.00084597565 0.0066712843 0.0013456122 0.0057401434 0.0040425146 0.00046557048 0.00048260356 0.00048828125 0.00048828125 0.0004598928 0.00054505817 0.0011298601 0.0019474473 0.031073991 0.00068700034 0.0014648438 0.0018395712 0.002225654 0.0008175872 0.0024981832 0.0019815133 0.0005337028 0.00036904978 0.0005337028 0.0006188681 0.00084597565 0.000255496 0.00042014898 0.00034633902 0.021529796 0.00048260356 0.00090843026 0.00024981832 0.0022142986 0.0005564135 0.0036110103 0.0025152161 0.00038040517 0.00021007449 0.00018168605 0.00018168605 0.0003065952 0.0012150254 0.0001589753 0.00018168605 0.036200944 0.0039857375 0.002316497 0.0032362826 0.0026571585 0.0020723564 0.008244004 0.005734466 0.00047124818 0.0005677689 0.00057344657 0.0011298601 0.0006983557 0.00046557048 0.0006188681 0.0007948764 0.026378542 0.0012377362 0.0018168605 0.0028729106 0.003196539 0.0016862736 0.0068416153 0.004309366 0.001112827 0.00049395894 0.0032930595 0.0008289426 0.0018395712 0.0005564135 0.0011071493 0.0005677689 0.031505495 0.0020553234 0.0022142986 0.004428597 0.0031681505 0.0020723564 0.0026912245 0.0024470838 0.0022483647 0.0013456122 0.005989962 0.0017998274 0.0026741915 0.001532976 0.0017089844 0.0018849927 0.005002044 9.6520715e-05 0.00069267803 0.00032930597 0.00044853744 0.00023278524 0.0014875545 0.001004951 0.00028388444 0.00027252908 0.00027820675 0.00028388444 0.0003122729 0.00029523982 0.00033498366 0.00027252908 0.08389353 0.015159429 0.021586573 0.018236738 0.06763831 0.013041652 0.0058820858 0.016084893 0.057151616 0.0036223656 0.0032533158 0.0070403344 0.035610463 0.010208485 0.020036565 0.028530387 0.020008177 0.0037870186 0.006046739 0.0045705396 0.013938726 0.004383176 0.0029637536 0.0053767716 0.012031022 0.0009197856 0.0012831577 0.0018963481 0.0090388805 0.003139762 0.0058139535 0.009453353 0.0030602743 0.0022597201 0.0022426872 0.006466888 0.0018509266 0.0015386537 0.0016805959 0.0015897529 0.0017827944 0.0012718023 0.0014818768 0.0013172239 0.0015670422 0.0015670422 0.0016408521 0.0035655887 412.0 11.803398 4863.0 0.04585647 0.0018507094 0.0012338063 0.0006169031 0.0197409 0.0008225375 0.0018507094 0.009047912 0.002673247 0.0012338063 0.0008225375 0.0020563437 0.0014394406 0.0028788813 0.011104257 0.0014394406 0.0057577626 0.004729591 0.0034957845 0.0055521284 0.0039070533 0.0028788813 0.004935225 0.002673247 0.0074028377 0.004935225 0.001645075 0.00329015 0.0028788813 0.0010281719 0.0074028377 0.002261978 0.005346494 0.043388855 0.0024676125 0.0133662345 0.0071972036 0.009459182 0.0074028377 0.006374666 0.02303105 0.005963397 0.001645075 0.001645075 0.008636644 0.0055521284 0.0028788813 0.0018507094 0.0074028377 0.0014394406 0.0061690314 0.008636644 0.013777504 0.012338063 0.011515525 0.016656386 0.004729591 0.0014394406 0.0030845157 0.002261978 0.008636644 0.006374666 0.008842278 0.016656386 0.009047912 0.0394818 0.0078141065 0.032695867 0.02488176 0.06477483 0.011309891 0.0074028377 0.005963397 0.031050792 0.001645075 0.001645075 0.028994448 0.009459182 0.026732469 0.03619165 0.012132429 0.0010281719 0.050380424 0.027555007 0.066008635 0.019123998 0.009047912 0.0028788813 0.0078141065 0.0092535475 0.0028788813 0.0008225375 0.0024676125 0.0008225375 0.0006169031 0.0024676125 5.730132 1.0 0.0 0.0 5.0 89088.0 106496.0 1.0 0.0 70.0 1.0 0.0 0.0 0.0 0.0 1540996900.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 44032.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 35328.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 0.0 0.0 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 -44544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.408889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8051143 0.0 0.0 0.0 0.0 4.860114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8055562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.529016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34980.0 0.0 0.0 0.0 0.0 3264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44144.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 81972.0 0.0 0.0 3264.0 94208.0 0.0 0.0 1548.0 102400.0 84.0 78144.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 78240.0 0.0 0.0 584.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.17731515 0.010528835 0.00837521 0.010050251 0.008853793 0.0059822924 0.004067959 0.0052644173 0.010528835 0.004067959 0.0057430007 0.006221584 0.0074180425 0.0057430007 0.0035893754 0.0050251256 0.007657334 0.0028715003 0.002392917 0.004067959 0.004546542 0.0026322086 0.0033500837 0.0021536252 0.0035893754 0.0021536252 0.0026322086 0.0033500837 0.0057430007 0.0033500837 0.0019143336 0.0026322086 0.006939459 0.0028715003 0.002392917 0.0016750419 0.0057430007 0.004067959 0.004546542 0.0028715003 0.003828667 0.0019143336 0.0043072505 0.0033500837 0.0033500837 0.0016750419 0.002392917 0.0021536252 0.0033500837 0.0014357502 0.0021536252 0.0033500837 0.004785834 0.003828667 0.0016750419 0.0014357502 0.012203877 0.0035893754 0.0026322086 0.0019143336 0.002392917 0.0007178751 0.0019143336 0.0007178751 0.0067001674 0.0043072505 0.003828667 0.0033500837 0.0028715003 0.004546542 0.0043072505 0.0009571668 0.003828667 0.003110792 0.0014357502 0.002392917 0.0052644173 0.003828667 0.0026322086 0.0019143336 0.008853793 0.0014357502 0.0035893754 0.003828667 0.0011964585 0.004546542 0.0026322086 0.0033500837 0.0050251256 0.0019143336 0.0019143336 0.0043072505 0.0028715003 0.0026322086 0.0019143336 0.0033500837 0.0035893754 0.0028715003 0.0019143336 0.0021536252 0.004546542 0.0019143336 0.0021536252 0.0019143336 0.0057430007 0.0026322086 0.0033500837 0.0021536252 0.0019143336 0.002392917 0.0035893754 0.0026322086 0.0043072505 0.0019143336 0.0033500837 0.003110792 0.004546542 0.004546542 0.0016750419 0.0019143336 0.0021536252 0.0026322086 0.0016750419 0.0011964585 0.004785834 0.002392917 0.002392917 0.0028715003 0.004785834 0.004067959 0.007178751 0.0067001674 0.004785834 0.004546542 0.002392917 0.002392917 0.0026322086 0.0043072505 0.0026322086 0.007178751 0.003110792 0.0026322086 0.0026322086 0.0028715003 0.0033500837 0.0033500837 0.0033500837 0.0011964585 0.002392917 0.0021536252 0.0019143336 0.0019143336 0.0016750419 0.0014357502 0.0009571668 0.0016750419 0.0009571668 0.0026322086 0.0014357502 0.0009571668 0.002392917 0.0016750419 0.0021536252 0.002392917 0.0021536252 0.0016750419 0.0011964585 0.0016750419 0.0004785834 0.0019143336 0.0009571668 0.003828667 0.0019143336 0.003110792 0.0019143336 0.0011964585 0.004067959 0.002392917 0.0009571668 0.0019143336 0.0035893754 0.0021536252 0.0011964585 0.0016750419 0.004067959 0.003110792 0.0021536252 0.002392917 0.0021536252 0.0009571668 0.0021536252 0.0028715003 0.005503709 0.003110792 0.0035893754 0.0050251256 0.0035893754 0.0016750419 0.0014357502 0.0035893754 0.0043072505 0.003828667 0.0009571668 0.0016750419 0.0021536252 0.0026322086 0.0011964585 0.0007178751 0.0035893754 0.0016750419 0.0028715003 0.0016750419 0.0014357502 0.0019143336 0.0007178751 0.003110792 0.006939459 0.0019143336 0.0021536252 0.003110792 0.0028715003 0.003110792 0.0014357502 0.002392917 0.006221584 0.0011964585 0.002392917 0.0019143336 0.006221584 0.0019143336 0.0021536252 0.0019143336 0.0064608757 0.003828667 0.0019143336 0.004067959 0.008135918 0.002392917 0.0016750419 0.002392917 0.0074180425 0.0014357502 0.0033500837 0.0009571668 0.009093084 0.0016750419 0.0021536252 0.0019143336 0.0074180425 0.0011964585 0.0009571668 0.002392917 0.0057430007 0.0019143336 0.003828667 0.007657334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14729817 0.013183594 0.0139973955 0.013671875 0.012532552 0.014322917 0.0133463545 0.012207031 0.01936849 0.0050455728 0.0050455728 0.009114583 0.013509114 0.01171875 0.013020833 0.015950521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08707682 0.048177082 0.038085938 0.03564453 0.04329427 0.044270832 0.033203125 0.036458332 0.051757812 0.027018229 0.02734375 0.031901043 0.03434245 0.028483072 0.048990887 0.05061849 13.0 8.384615 109.0 0.09174312 0.018348623 0.0 0.0 0.027522936 0.0 0.0 0.0 0.018348623 0.0 0.0 0.0 0.0091743115 0.0 0.018348623 0.0 0.0 0.0 0.0 0.0091743115 0.027522936 0.0091743115 0.0091743115 0.0 0.018348623 0.0091743115 0.0 0.0 0.0 0.0 0.0091743115 0.0 0.018348623 0.0 0.0 0.0 0.0091743115 0.0091743115 0.0091743115 0.0091743115 0.027522936 0.0091743115 0.0 0.0 0.018348623 0.0 0.018348623 0.0091743115 0.018348623 0.0 0.0091743115 0.018348623 0.0091743115 0.0 0.0 0.027522936 0.0 0.018348623 0.0 0.0091743115 0.0091743115 0.0 0.018348623 0.0 0.0091743115 0.018348623 0.027522936 0.027522936 0.027522936 0.018348623 0.0 0.018348623 0.027522936 0.027522936 0.0 0.0 0.0 0.018348623 0.036697246 0.027522936 0.018348623 0.0 0.04587156 0.018348623 0.0091743115 0.018348623 0.0091743115 0.0 0.0091743115 0.0091743115 0.0 0.0 0.0091743115 0.0 0.0 0.018348623 5.498663 0.0 0.0 0.0 2.0 4179.0 5287936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536644400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 2936832.0 4096.0 4096.0 3.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2934784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 248832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.779731 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2936832.0 0.0 0.0 0.0 0.0 0.0 2097152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 249856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 744.0 5285724.0 247644.0 5038080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056552052 0.0082896445 0.0061694463 0.005654895 0.0057571856 0.0049605616 0.004198034 0.0054089855 0.005037021 0.0056104665 0.0037506432 0.0044563427 0.0049574617 0.0031885633 0.0043271882 0.004634059 0.005047353 0.0037578759 0.0049378304 0.0041598044 0.004342687 0.0031833972 0.0041081426 0.0038519 0.0050711175 0.003349748 0.0031792643 0.0029261217 0.00413914 0.003451005 0.0037940391 0.0037878396 0.0061601475 0.003825036 0.0034892347 0.0030170463 0.004893401 0.0041701365 0.0038539667 0.003718613 0.00472705 0.0038963293 0.0033352827 0.0030935057 0.0043664514 0.0037206793 0.0037341113 0.0035842923 0.005508176 0.00395729 0.0031028048 0.0029023571 0.00367935 0.0030842065 0.002694677 0.0028579282 0.004158771 0.0033311497 0.0035233314 0.0033383823 0.004014118 0.0032226602 0.0035006003 0.0034561711 0.006593073 0.0039448915 0.0036152895 0.0032319592 0.0041608373 0.0032267931 0.0035377967 0.0030811068 0.005003957 0.0037857732 0.0037217126 0.0035863589 0.004127774 0.0031265693 0.0035460626 0.0034561711 0.005161009 0.003622522 0.0036390538 0.0033342494 0.0039335256 0.0033921106 0.0033662796 0.0035532953 0.0046443916 0.003653519 0.003811604 0.0035150656 0.0041071093 0.0033879776 0.0036855494 0.0037961055 0.0059101046 0.0036276882 0.003345615 0.0029478197 0.0040120515 0.0030573425 0.003275355 0.0030397775 0.0049595283 0.0031627323 0.0031906299 0.0030542428 0.003578093 0.0028434629 0.0030852398 0.0032030286 0.004497672 0.00329292 0.0032216269 0.0031400013 0.0038932296 0.003332183 0.00329292 0.0036307878 0.0046144277 0.003297053 0.0034830354 0.003156533 0.004039949 0.0031947626 0.0034654704 0.0033476816 0.008636812 0.004584464 0.0040285834 0.003529531 0.0043767835 0.0034272405 0.003028412 0.0034034762 0.0045379684 0.0038322688 0.002959185 0.003191663 0.003722746 0.002800067 0.0028537952 0.0029839827 0.0052281693 0.0032143942 0.0034840684 0.003028412 0.0036679844 0.0031792643 0.003305319 0.0032784548 0.004544168 0.002848629 0.0030449436 0.0027029428 0.0035140323 0.0032226602 0.0029860493 0.0031524 0.005003957 0.0034107089 0.0032701888 0.002790768 0.0037682082 0.0030098136 0.0030490765 0.0031895966 0.0041474053 0.003001548 0.00311727 0.003020146 0.00364422 0.0028382966 0.002924055 0.003041844 0.0046681557 0.0031141704 0.003837435 0.002852762 0.0035687939 0.003148267 0.0029881157 0.0031224363 0.0042527956 0.0031493003 0.0033342494 0.003178231 0.0036597184 0.0031875302 0.003322884 0.0033569806 0.006703629 0.0040533813 0.0037258456 0.0033435486 0.004117442 0.003244358 0.0033073854 0.0032298928 0.004329255 0.0033352827 0.00311727 0.0030935057 0.0036473197 0.0029819163 0.0030831734 0.0028011003 0.0042496957 0.0032784548 0.0030800737 0.0030036143 0.0037093137 0.0030098136 0.0029385204 0.0029395537 0.003972789 0.003107971 0.0027287737 0.0026585138 0.0035408966 0.0029560854 0.0035904918 0.0028909917 0.004958495 0.0032474578 0.0033921106 0.0029746837 0.0038064378 0.0030707745 0.0031968292 0.0029002908 0.0044377446 0.005437916 0.0034654704 0.003143101 0.0037950722 0.0030759408 0.00325779 0.0032009622 0.0046133944 0.0033218507 0.0034200079 0.0030604422 0.0037423773 0.0030831734 0.0033135847 0.0032381585 0.004348886 0.0030366778 0.003186497 0.0028744598 0.0040120515 0.0030976387 0.004247629 0.0045049046 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.0045709126 0.00029172737 0.00027052022 0.0002668995 0.0003020723 0.00024000264 0.00032690016 0.00030155506 0.00033258987 0.00034759004 0.0003294864 0.00035379702 0.00051724707 0.00015672587 0.0001877607 0.0007381116 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09908282 0.062046893 0.06246793 0.055333026 0.060626533 0.059586864 0.054964744 0.05447336 0.06048946 0.05318438 0.052127127 0.05295938 0.056443036 0.05057642 0.056670107 0.05388318 4034.0 5.7017846 23001.0 0.017173165 0.010390853 0.009347419 0.008695274 0.013477675 0.012477718 0.011782097 0.011521238 0.012608147 0.009738707 0.008564845 0.008608322 0.013868962 0.010564758 0.011825573 0.009999565 0.01665145 0.011912526 0.008695274 0.007477936 0.009782183 0.008608322 0.00778227 0.008303987 0.010260424 0.008434416 0.009608278 0.0088257035 0.011521238 0.0089126555 0.009608278 0.009260467 0.017999217 0.010956045 0.010434329 0.009173514 0.010912569 0.0088257035 0.01065171 0.00839094 0.014173297 0.011564715 0.00982566 0.008956132 0.011434286 0.009347419 0.011608191 0.009564801 0.01473849 0.009564801 0.009956089 0.008956132 0.012042955 0.009390896 0.009564801 0.009869136 0.013651581 0.009260467 0.0105212815 0.009608278 0.011173427 0.009782183 0.010390853 0.01065171 0.017999217 0.010956045 0.009738707 0.008130081 0.013086388 0.008217034 0.009347419 0.008303987 0.0153906355 0.009303943 0.0089126555 0.008651798 0.011347333 0.008130081 0.009869136 0.008043129 0.013129864 0.007999652 0.008695274 0.008695274 0.011477762 0.009434372 0.008086605 0.007999652 0.010869092 0.008999608 0.011999479 0.008521369 0.011434286 0.009043085 0.010129995 0.0088257035 6.554829 0.0 0.0 0.0 14.0 967834.0 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: 0.17512026 0.007328235 0.0044478923 0.004909206 0.0046980577 0.0031396886 0.0023341107 0.0023524715 0.005519701 0.002242307 0.0022583725 0.0022675528 0.010353169 0.0021596835 0.0016754186 0.006272492 0.004599368 0.0016157462 0.0017075499 0.0015537787 0.002299684 0.0027219814 0.00182919 0.0016019756 0.0032062463 0.0015813197 0.0015537787 0.001806239 0.0020013219 0.0018773869 0.0017236156 0.0023019793 0.0048655993 0.0021275522 0.0025200131 0.0025980463 0.007454465 0.002565915 0.0026393582 0.0028137853 0.0042826454 0.0032498532 0.0035321496 0.004142645 0.003148869 0.0040967427 0.0029606712 0.0029032938 0.011615471 0.0028918185 0.0027724735 0.0053544543 0.0025223084 0.002200995 0.0020678798 0.0021046011 0.002880343 0.0026783748 0.0021964049 0.0037960855 0.0023800125 0.0024236194 0.002024273 0.0025705053 0.011057763 0.004982649 0.002464931 0.0071400376 0.005473799 0.006176098 0.0023524715 0.0021941098 0.014812537 0.0035528056 0.0020701748 0.0021550932 0.0043101865 0.003883299 0.0020541092 0.001780993 0.0038993647 0.0022560775 0.0019737808 0.0026806698 0.0026554237 0.0033600177 0.0029331301 0.0029216546 0.0022032904 0.003001983 0.00182919 0.002120667 0.0025819808 0.0032796892 0.0025957513 0.002634768 0.0022859136 0.0024741113 0.0018750918 0.0024442752 0.0023295204 0.0033003453 0.0040141195 0.001808534 0.0025682102 0.0024282094 0.0032773942 0.0019898466 0.0025521445 0.0019278789 0.0023019793 0.0023983733 0.0026967356 0.001758042 0.0034380509 0.003047885 0.007323645 0.0068187243 0.0019485349 0.0019898466 0.0021964049 0.0020150926 0.0017878782 0.0016455824 0.0021527982 0.0025039476 0.0018429605 0.0022400117 0.003073131 0.0024282094 0.0018911575 0.009235458 0.0029629664 0.0062197046 0.0015560738 0.0015445983 0.0025796858 0.008025943 0.0025498495 0.025544396 0.0018383703 0.0064836405 0.0015767296 0.0015744345 0.009430542 0.0016685333 0.0017649273 0.0017511568 0.0017396812 0.0017924684 0.0016868941 0.0015905001 0.0016042707 0.0017144352 0.0014045975 0.0015767296 0.0017511568 0.0017396812 0.0015308277 0.0014344337 0.0017396812 0.0018888623 0.0016501726 0.0017305008 0.0016731236 0.0015973854 0.0013724662 0.0015675492 0.0018613213 0.0014734503 0.0016157462 0.0014964013 0.001537713 0.0014849259 0.0013265644 0.0015423031 0.0016685333 0.00134263 0.0014091877 0.0013518104 0.0016019756 0.0016478775 0.0017350911 0.0021665688 0.0019462397 0.0018223047 0.00182919 0.0016478775 0.0016272217 0.001709845 0.0016570579 0.0017878782 0.0061692125 0.0032360826 0.0023731273 0.0044869087 0.003029524 0.0016593529 0.0027449324 0.0033829685 0.0029400154 0.003029524 0.0019623053 0.001904928 0.013157774 0.001636402 0.0022078804 0.0020931258 0.0025521445 0.0019324692 0.002467226 0.0018314851 0.0018108292 0.0016065658 0.0019577153 0.0018842722 0.0027931293 0.0024098486 0.0020586993 0.00243739 0.0019278789 0.0023754223 0.0018613213 0.0019921416 0.0028665725 0.0021987 0.0021619785 0.0019393545 0.002467226 0.0023226351 0.0019967319 0.0022905038 0.016377792 0.0033278863 0.002221651 0.0047554346 0.0038557579 0.0022285362 0.0020678798 0.002217061 0.0037410033 0.002024273 0.0020678798 0.0020678798 0.0022331264 0.0014550895 0.0033531324 0.0026026366 0.0036652652 0.003247558 0.0021803393 0.0018957476 0.0033278863 0.0036996915 0.0042092022 0.06303476 0.023461685 3.6851416e-05 8.061247e-05 5.7580337e-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 0.008246656 1.8425708e-05 4.260945e-05 1.2667674e-05 2.3032135e-06 0.0 4.606427e-06 1.4970888e-05 1.4970888e-05 2.3032135e-06 3.4548202e-06 8.061247e-06 2.6486954e-05 1.3819281e-05 7.715765e-05 0.00094546913 0.0018805738 8.061247e-06 2.3032135e-06 1.2667674e-05 2.3032135e-06 0.0 0.0 2.0728921e-05 9.212854e-06 0.0 0.0 0.0 5.7580337e-06 0.0 1.3819281e-05 0.00040306235 0.011566738 0.00013358638 0.00042033647 0.00015201209 0.0001704378 8.867372e-05 0.0001197671 0.0001531637 9.212854e-05 4.606427e-05 0.000102492995 2.6486954e-05 6.333837e-05 1.9577314e-05 6.448998e-05 0.0009316498 0.0056682085 0.0001197671 0.0001531637 0.00011170585 0.00012897995 7.024801e-05 0.00014279924 0.00011861549 4.0306237e-05 3.6851416e-05 7.715765e-05 2.6486954e-05 3.569981e-05 5.1822302e-05 7.370283e-05 0.00021995688 0.0035147038 0.00015546691 0.00014049602 6.2186766e-05 5.7580335e-05 2.6486954e-05 6.679319e-05 2.8790168e-05 5.988355e-05 1.2667674e-05 2.6486954e-05 1.6122494e-05 3.3396595e-05 6.2186766e-05 0.00019001511 0.00026371793 0.0077065523 0.00011055425 0.00071514776 0.00019116672 0.00033511757 0.00019692475 0.00042263966 0.0002902049 5.5277123e-05 3.800302e-05 3.3396595e-05 5.0670697e-05 5.988355e-05 0.00030056934 0.0012610094 0.0023838258 0.0090976935 0.00014740566 0.0007070865 0.00020728921 0.0008729179 0.00039039468 0.000857947 0.00055622606 3.9154627e-05 3.6851416e-05 0.00012667674 0.00013358638 0.0001715894 0.00089595 0.0021949625 0.0024321934 0.013948261 0.00041457842 0.0010295364 0.00052167784 0.0018609965 0.0005942291 0.0029181715 0.0016053398 0.00021650207 0.00035124004 0.0007220574 0.00033511757 0.0004629459 0.0011700324 0.0018011129 0.002708579 0.008252414 0.0002211085 0.00083146006 0.0003581497 0.0010157172 0.00051822304 0.0012932543 0.0009558336 0.00021189563 0.00020153118 0.00027062758 0.00043530733 0.0007139962 0.0014659953 0.0012437353 0.0032371664 0.009598642 0.00062186766 0.001355441 0.000582713 0.0011078457 0.0008118827 0.0012540998 0.0009247402 0.0007047833 0.00046985556 0.0004295493 0.00039845592 0.0006172612 0.0008878888 0.0010825103 0.0027373692 0.011698021 0.0009811689 0.0041043265 0.0033569336 0.002099379 0.0017585035 0.0024644383 0.002262907 0.003596468 0.0013761701 0.00090631447 0.0009397111 0.0014372052 0.0009788657 0.0007715765 0.008437823 0.037991505 0.0053687906 0.017890211 0.014631163 0.014426177 0.009937215 0.006867031 0.009888847 0.019063698 0.004243671 0.003145038 0.0039304337 0.010067346 0.0051407726 0.010556779 0.034398492 0.06304356 0.012800109 0.015039984 0.01758158 0.03761378 0.015429227 0.010356399 0.014820027 0.039247908 0.012393592 0.006647074 0.007431318 0.026896928 0.009830115 0.020834869 0.029656176 0.019864064 0.012895692 0.013450767 0.014815421 0.016884858 0.013162864 0.013238871 0.013867648 0.015979694 0.015052651 0.013117952 0.013267661 0.0155743295 0.013172078 0.015269154 0.016235352 1270.0 8.083465 10266.0 0.030294174 0.0057471264 0.006526398 0.005357491 0.019189557 0.005357491 0.004967855 0.00993571 0.007500487 0.006526398 0.0056497175 0.007305669 0.004773037 0.004870446 0.011883888 0.0055523086 0.014319112 0.005162673 0.007403078 0.0070134425 0.0054548997 0.0034093123 0.0045782193 0.004967855 0.007305669 0.0077927136 0.005357491 0.0058445353 0.0034093123 0.0054548997 0.0044808104 0.003798948 0.012760568 0.0152932005 0.005162673 0.011396844 0.012078706 0.011299435 0.0077927136 0.007890123 0.037210207 0.012565751 0.004675628 0.0036041301 0.013052796 0.010617573 0.0056497175 0.005357491 0.015780246 0.0069160336 0.008377167 0.011689071 0.012273524 0.006526398 0.008377167 0.011981297 0.007500487 0.004967855 0.0057471264 0.0044808104 0.006039353 0.0055523086 0.0055523086 0.007987532 0.007597896 0.028345997 0.008961621 0.020358466 0.018410286 0.047438145 0.009448665 0.008669394 0.006721216 0.023670368 0.006039353 0.004967855 0.021917008 0.010812391 0.020942919 0.026397819 0.00905903 0.0036041301 0.03448276 0.021527372 0.044710696 0.0163647 0.008474576 0.004675628 0.008571985 0.010227937 0.004675628 0.0032144946 0.0035067212 0.004091175 0.004091175 0.004675628 6.215564 1.0 0.0 0.0 5.0 435712.0 487424.0 1.0 0.0 109.0 0.0 1.0 0.0 0.0 0.0 1477392300.0 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 14.0 0.0 6.0 0.0 6.0 0.0 218624.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -219136.0 0.0 183808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.412132 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1425903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.954775 0.0 6.6646204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218719.0 0.0 183376.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 251548.0 183376.0 303104.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 249232.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 249320.0 0.0 0.0 464.0 225280.0 0.0 0.0 0.0 0.0


Input: 0.022899795 0.005044804 0.004245356 0.00477013 0.0037304915 0.0038937896 0.0036591475 0.0039465046 0.0039742496 0.003733266 0.0035771022 0.0039817803 0.0037047283 0.0038612885 0.0038719901 0.005135173 0.004003976 0.0036571657 0.0035410337 0.0036579585 0.003401517 0.003703143 0.0036860998 0.0036845142 0.0037768648 0.0037784504 0.003555699 0.0036072251 0.0038850699 0.003640519 0.0038081768 0.0039195525 0.003977817 0.0037304915 0.0035303324 0.0036500313 0.005124471 0.0034534393 0.0035358812 0.0036385371 0.0035941454 0.0035430156 0.0033951753 0.0036028652 0.003779243 0.0037035393 0.0036777763 0.0037471384 0.0041434933 0.0037562544 0.003617134 0.0040939488 0.003716619 0.003457403 0.0035497537 0.0037217715 0.0039972384 0.003805799 0.003585822 0.0042671557 0.0037978718 0.0038882405 0.0039897077 0.004076113 0.0036341771 0.0046912553 0.0038153112 0.0038279947 0.0044300575 0.00399486 0.0035767057 0.0037265278 0.008839505 0.004247338 0.0034724644 0.0035358812 0.00443957 0.0038208603 0.003640519 0.003699972 0.0036924414 0.0035128926 0.0033515762 0.0037570472 0.0035093254 0.003475239 0.0034871295 0.0036575622 0.0037828102 0.0035267652 0.0033900226 0.0035798766 0.003712259 0.003645275 0.0036103958 0.003896564 0.003746742 0.004057484 0.0035426193 0.003864063 0.0036801544 0.0039025093 0.004288559 0.0037665598 0.0036068286 0.0037404003 0.0034272799 0.0035497537 0.003768938 0.0036377443 0.0037931155 0.0040626368 0.004131999 0.0036381409 0.0038795208 0.004038063 0.004892207 0.004168067 0.0038704046 0.0038656483 0.0038343363 0.0036900633 0.0036583547 0.00382958 0.0038398854 0.0038359219 0.003851776 0.0038759536 0.0031759911 0.0034839588 0.0035882 0.0051335874 0.00412209 0.0047451598 0.0036932342 0.0038319582 0.0036282318 0.0050935554 0.0036500313 0.0067962958 0.0037328696 0.004762203 0.0036567694 0.0037570472 0.0037407966 0.003518838 0.0034744462 0.0035921636 0.0035925598 0.0034221273 0.0034589884 0.0036147558 0.003740004 0.003484355 0.0033963644 0.0035398446 0.0036413115 0.0035687787 0.0037229606 0.0038291838 0.0033499908 0.0036179267 0.0034241092 0.003670642 0.0035006057 0.0034344143 0.003546979 0.0036595438 0.0035370702 0.0034066695 0.0032600183 0.003456214 0.0034593847 0.003408255 0.0035045692 0.0037023502 0.0038418672 0.0036337809 0.003475239 0.0036381409 0.0034229201 0.0034546284 0.003601676 0.003879917 0.003799457 0.0035707604 0.003728906 0.0037736942 0.0036052433 0.0037947008 0.0038240312 0.0038743683 0.004140322 0.0042643812 0.0038418672 0.004344445 0.003956414 0.0036928377 0.0038109515 0.004058673 0.0038783317 0.003878728 0.00358384 0.0036968014 0.0049691 0.0035715532 0.0037954936 0.0039262907 0.0036436897 0.0037011611 0.0036658857 0.0037871702 0.0034891113 0.0035002092 0.0035117036 0.0037447603 0.003963548 0.0036829289 0.0035251796 0.0037705232 0.0036480497 0.003705521 0.0038097624 0.0038803136 0.0037487238 0.0038715936 0.0036123777 0.003670642 0.0035628334 0.0035394484 0.00363497 0.003768938 0.0046084174 0.003951261 0.0036246646 0.0040677893 0.0041605365 0.0036742091 0.0037507056 0.003967115 0.003931047 0.0036627147 0.003730095 0.0037748832 0.003789152 0.0036753982 0.0040872106 0.004039648 0.003974646 0.0038803136 0.0038945824 0.003992482 0.0037554617 0.003977817 0.004116541 0.0062172213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013422776 3.1732332e-05 2.7964117e-05 1.4081222e-05 7.437265e-05 3.2128984e-05 1.3684568e-05 1.0709662e-05 5.751485e-06 6.5447935e-06 1.24946055e-05 5.553158e-06 5.156504e-06 7.734756e-06 5.354831e-06 2.915408e-05 0.0019077081 5.0573402e-05 4.9780094e-05 2.0031035e-05 0.00012197115 2.3402594e-05 8.766056e-05 5.354831e-05 1.1899624e-05 1.7849436e-05 1.68578e-05 1.3882895e-05 1.4081222e-05 1.5667838e-05 9.123045e-06 2.300594e-05 0.0026228756 3.530222e-05 0.00011701297 1.8642744e-05 0.00018841072 5.8506484e-05 0.00020526852 0.0001449771 2.5980846e-05 9.30154e-05 3.2922293e-05 1.6461147e-05 1.4676203e-05 1.4676203e-05 3.5500547e-05 3.1335676e-05 0.0013446575 3.0542367e-05 7.7347555e-05 3.6293855e-05 5.830816e-05 3.312062e-05 0.00022966275 0.00013030089 1.3486241e-05 1.824609e-05 1.0511335e-05 8.726392e-06 1.0511335e-05 8.726392e-06 5.553158e-06 1.487453e-05 0.0012286362 5.6721543e-05 4.5218574e-05 4.1648684e-05 9.737859e-05 8.6073946e-05 0.00023025773 0.000117409625 2.2212633e-05 1.3089587e-05 1.68578e-05 1.289126e-05 1.0907989e-05 7.734756e-06 1.5667838e-05 2.8162443e-05 0.0025768636 0.0002754763 0.00015885998 0.00019098897 0.0002504871 0.0002336293 0.0006697505 0.00043691453 6.941448e-05 4.878846e-05 6.029143e-05 4.2243668e-05 6.247303e-05 4.0260395e-05 8.2305734e-05 8.151243e-05 0.0027785623 0.0001634215 0.00016064492 0.00015925664 0.00016223155 0.0001677847 0.0005112872 0.0003282313 0.00011701297 0.00016798303 0.00011701297 7.9529156e-05 8.012414e-05 8.290072e-05 8.0917445e-05 0.00012335944 0.0014434244 8.3495695e-05 0.00010907989 9.777525e-05 9.956019e-05 7.4769305e-05 0.00017532113 0.000108683234 0.00010551 9.4602015e-05 6.782786e-05 6.9612805e-05 0.00010293175 7.933083e-05 6.3266336e-05 6.802619e-05 0.0027708276 0.00024354564 0.00039526584 0.00030205213 0.0012207031 0.0001925756 0.00015072858 0.00027646794 0.0012809945 0.00021617652 0.00026238672 0.00023819081 0.00055214256 0.00016877634 0.0002667499 0.00039824075 0.0112689445 0.0018375004 0.0027045864 0.0019225826 0.00889477 0.001645718 0.0012020604 0.002345416 0.0075689545 0.0005380614 0.00049363606 0.0012070185 0.004526022 0.001141174 0.0022216598 0.0032844946 0.002504871 0.00058308156 0.0007246871 0.00091151125 0.0016510729 0.0005444078 0.0008230574 0.0008127443 0.0013982059 0.00020407856 0.0002754763 0.0002980856 0.0008450716 0.00041866844 0.0005644389 0.0008442783 0.052051336 0.055917922 0.055109542 0.057745308 0.054591905 0.054497503 0.05610415 0.058139183 0.056251902 0.055946082 0.054594286 0.0569518 0.057217162 0.057060484 0.05789108 0.059605416 11627.0 6.2888966 73121.0 0.0142640285 0.008944079 0.008615856 0.008834671 0.013060544 0.008014114 0.008985107 0.008944079 0.008588504 0.008150873 0.0074397232 0.00846542 0.009067163 0.008643208 0.011282668 0.010188592 0.013060544 0.011159585 0.010010804 0.009586849 0.009354358 0.008369689 0.008260281 0.008506448 0.010886066 0.010051832 0.008916727 0.0099561 0.0099971285 0.00873894 0.010188592 0.009504793 0.009080838 0.018093297 0.008820996 0.011159585 0.01073563 0.009586849 0.009532145 0.009395386 0.012404097 0.00931333 0.008219253 0.0085474765 0.010503138 0.009641553 0.01002448 0.009162894 0.010188592 0.00846542 0.009121867 0.010954445 0.009860368 0.0092449505 0.01144678 0.011624567 0.009422738 0.008506448 0.008711588 0.007945734 0.009901396 0.009463766 0.009340682 0.0128007 0.008916727 0.015645301 0.009395386 0.013169951 0.0127596725 0.017614638 0.012445125 0.009668905 0.010133888 0.015235022 0.008260281 0.008273957 0.0120895505 0.011597215 0.013634934 0.018339464 0.012308366 0.0085338 0.016301746 0.014482844 0.018612985 0.011227964 0.010256971 0.009586849 0.009709933 0.008985107 0.0085338 0.0085201245 0.009778312 0.008684236 0.008150873 0.00988772 6.5496187 2.0 20.0 0.0 45.0 2522992.0 2531328.0 1.0 0.0 121.0 1.0 1.0 1.0 0.0 0.0 1541857200.0 0.0 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 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 173056.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55808.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173056.0 0.0 2263040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.35198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0257072 0.0 0.0 0.0 0.0 5.4312973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8524575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4477334 0.0 7.99773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55482.0 0.0 0.0 0.0 0.0 8760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172667.0 0.0 2262876.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 232252.0 2262876.0 262144.0 8760.0 249856.0 15728.0 2507264.0 1524.0 2527232.0 84.0 216784.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 189216.0 0.0 0.0 1000.0 189480.0 0.0 0.0 0.0 0.0


Input: 0.1373192 0.008320269 0.0040354864 0.003300781 0.006016674 0.0038065652 0.0019560184 0.0018900986 0.007599946 0.0014562269 0.0016408021 0.0014514327 0.004409431 0.0013231889 0.0011865553 0.0037502337 0.0059423647 0.0014514327 0.0011446063 0.0008641478 0.002382699 0.0019116723 0.00074069813 0.0007970295 0.00222569 0.0007287127 0.0008018237 0.0006867638 0.0015604999 0.0005836893 0.000574101 0.00054653455 0.003752631 0.00056690973 0.0006304324 0.0005249608 0.004017508 0.0012740487 0.00044945275 0.00054293894 0.0011446063 0.00063163094 0.0005645126 0.0009120894 0.0010690982 0.002265242 0.0006544032 0.00050099 0.009295882 0.003517717 0.006819696 0.010656225 0.0071277213 0.002721886 0.0065296497 0.0025265238 0.0075579975 0.0028129749 0.00069155794 0.0014346532 0.0016132357 0.00094445003 0.00045065128 0.0005117769 0.011396923 0.0038029696 0.0047450224 0.008545595 0.0037454395 0.03152162 0.0031641473 0.002622407 0.0032756117 0.0034350175 0.0021190199 0.0022796243 0.0026236055 0.004247628 0.0011230326 0.0014825948 0.00877092 0.0020758724 0.001990776 0.009445699 0.0031030218 0.013397288 0.0031198014 0.0020291293 0.0018649292 0.006306721 0.0026547676 0.0031557574 0.0015161539 0.0044897334 0.0023023966 0.0034901504 0.005581604 0.004737831 0.0022161016 0.0036435635 0.009778894 0.0064026043 0.0043842616 0.0019392387 0.008470086 0.0045604473 0.004083428 0.0017570606 0.004158936 0.0021250127 0.0047785817 0.004354298 0.003930015 0.0021010418 0.0052591963 0.004162532 0.010702968 0.0057985396 0.0023083894 0.0015293378 0.0034817606 0.00122371 0.00051417394 0.0005717039 0.0016012503 0.0024390302 0.0010295464 0.00084736827 0.005079415 0.001121834 0.0010547158 0.008779311 0.003023918 0.003125794 0.00100198 0.00059927034 0.0025792595 0.0147132855 0.002163366 0.05010859 0.0011589888 0.010656225 0.0008305887 0.00065919734 0.0025732669 0.0004302761 0.0007047419 0.00062563823 0.0010882749 0.00090729527 0.0014646167 0.00055013015 0.0011374151 0.00057050533 0.00048421044 0.0006903594 0.00092647196 0.00046143815 0.00045065128 0.00040630528 0.00086894195 0.003225273 0.00045184983 0.0024713909 0.0013795203 0.00079223537 0.00054653455 0.00043866588 0.0010139653 0.00044346004 0.00049379875 0.00047222502 0.0008210004 0.0004362688 0.0007191244 0.00063762366 0.001283637 0.00066399155 0.0016767584 0.00052016665 0.0008509639 0.000649609 0.0006903594 0.0015305365 0.003052683 0.0024558099 0.004506513 0.0007982281 0.0009696194 0.00046503378 0.000826993 0.0006927565 0.011624645 0.0011134442 0.0022161016 0.01002819 0.0042224587 0.0010259508 0.003447003 0.0032636262 0.0018121934 0.0017103176 0.0009528398 0.0012620633 0.0016300153 0.00086534634 0.0009612296 0.000913288 0.0027854084 0.0011146428 0.0028824902 0.0013112035 0.0017570606 0.00074429373 0.0015545072 0.00084856676 0.0032636262 0.000634028 0.0010523187 0.0017318913 0.0014502342 0.0006963521 0.000545336 0.0008162062 0.002363522 0.00063762366 0.0008509639 0.00096003106 0.0023575295 0.0023563309 0.00053335057 0.0006723813 0.026753824 0.00583929 0.0010595099 0.005717039 0.0063306917 0.0010103697 0.00065919734 0.0007311098 0.007018654 0.00094684714 0.0017606562 0.0008905157 0.0088548185 0.0021034388 0.0039695664 0.0025133397 0.009756121 0.002959197 0.0029783736 0.0035009373 0.014428033 0.003872485 0.0041685244 0.06680066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00590502 0.0 0.0 0.0008750625 0.00059999136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0089470185 0.0 0.0 0.0020978677 0.0012552371 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018057998 0.0 0.0 0.008404683 0.0055176383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033074599 0.0 0.0 0.0023723382 0.0017002758 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053392624 3.6035517e-06 1.7417166e-05 6.486393e-05 0.00014414206 7.327222e-05 6.0059197e-06 7.2071034e-06 1.5014799e-05 0.0 0.0 1.8017759e-06 7.8076955e-06 3.0029598e-06 4.8047355e-06 0.00034714214 0.0059044193 0.00019939653 0.00020660362 0.00053332566 0.0018504238 0.00047266585 0.0023699359 0.0010312164 0.00018858587 9.7295895e-05 8.9488196e-05 7.2671624e-05 0.0006504411 0.00036816287 0.0003879824 0.0027975573 0.012902517 0.00062101206 0.0009159027 0.0020155865 0.003998741 0.0034948445 0.0067464495 0.0031080632 0.0004396333 0.00022822493 0.00030089656 0.0003201155 0.0020167877 0.0010696542 0.0010864708 0.008705581 0.020115625 0.0012618437 0.0011945774 0.0020125837 0.007085784 0.0024804447 0.006480387 0.0031537083 0.002316483 0.00094413053 0.0009459323 0.001293675 0.0039302735 0.0025663294 0.0025897524 0.009279146 0.019587705 0.0015128911 0.0012119946 0.0021963648 0.0091314 0.003917061 0.0057008187 0.0033008533 0.005629348 0.0013693497 0.0017230983 0.002233001 0.0037416879 0.0017170924 0.0039182617 0.009369835 0.071728095 0.009513977 0.0070557543 0.009769829 0.04076338 0.029658431 0.02064655 0.013521727 0.04988517 0.005127854 0.0058683837 0.008860533 0.016269434 0.0068551563 0.02659421 0.059185334 0.058398556 0.009817276 0.008837109 0.011311549 0.02725246 0.029662035 0.017125878 0.014159556 0.048283387 0.005703822 0.0062827924 0.00886834 0.020448353 0.010600448 0.024309559 0.047032356 0.00022642316 4.624558e-05 8.348228e-05 5.0449722e-05 8.768642e-05 9.6094715e-05 4.2041436e-05 6.3662745e-05 0.00013032845 2.8227822e-05 3.2431966e-05 2.8227822e-05 8.1680504e-05 5.8257418e-05 7.086985e-05 0.00010390241 5347.0 21.371984 114276.0 0.004095348 9.625818e-05 0.0004200357 7.000595e-05 0.0025202143 0.00042878644 9.625818e-05 0.00013126116 0.0002975253 0.00030627602 0.00055129686 0.00043753718 0.000376282 0.010719662 0.0008488221 0.00035002976 0.046483953 0.01919038 0.046212677 0.015436312 0.044287514 0.016801428 0.044751305 0.0152787985 0.046326436 0.017081453 0.0006213028 0.00038503273 0.000717561 0.0004025342 8.750744e-05 0.00010500893 0.001023837 0.006414295 0.005565473 0.010912177 0.005364206 0.012128531 0.003552802 0.0023101964 0.0037015646 0.013231125 0.001846407 0.003001505 0.0051279357 0.005014176 0.0033340333 0.006930589 0.009704575 0.0019689174 0.0044978824 0.015392559 0.009827085 0.0047079003 0.004436627 0.0026252232 0.0020914278 0.004025342 0.0011463475 0.0022489412 0.00087507436 0.0021001785 0.002187686 0.016687669 0.00019251637 0.02633974 0.0134148905 0.023574503 0.02528965 0.042896148 0.012566068 0.01071091 0.020196717 0.029218733 0.009118275 0.0080331825 0.023399489 0.011971017 0.0317652 0.028676188 0.020187967 0.0052504465 0.03256152 0.024379572 0.03683188 0.011200952 0.012049775 0.0075781443 0.015602577 0.0050229267 0.00078756694 0.00021876859 0.00041128497 0.00019251637 0.00022751934 0.00023627008 5.6481647 0.0 2.0 14.0 4.0 834348.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.621811 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0