Input: 0.060368624 0.005683671 0.004032728 0.0047228048 0.0038085254 0.0034037968 0.0031475658 0.0030281853 0.0036134406 0.0040589334 0.0034824132 0.0035610297 0.0032320055 0.00405311 0.0033455626 0.0034532961 0.0036542045 0.003537736 0.0032552993 0.0034067086 0.0034911484 0.003258211 0.003124272 0.0030893316 0.0038667598 0.0035027952 0.0032640344 0.0030369207 0.0035406477 0.0028593058 0.0028709527 0.0042365477 0.003351386 0.0040764036 0.0030281853 0.0029117167 0.004134638 0.003930818 0.0042511066 0.0034736781 0.0030369207 0.003700792 0.0031068018 0.0033688564 0.003083508 0.0033834148 0.0033979735 0.0029350105 0.0037182623 0.002908805 0.004012346 0.0036687632 0.0035231772 0.0033572095 0.0034474726 0.003034009 0.0033892384 0.0035843232 0.0029320987 0.0035086186 0.0042714886 0.0034096204 0.0032727697 0.0037357325 0.005456557 0.0040851384 0.0034300024 0.0029961565 0.0053051477 0.011687631 0.0032320055 0.0040269042 0.0036833216 0.0039104354 0.0030194502 0.0034008853 0.003555206 0.004944095 0.0044753086 0.0038201723 0.0047664805 0.0037764965 0.0031475658 0.004964477 0.003051479 0.0041055204 0.0049673887 0.0029903331 0.004894596 0.0029495691 0.0040210807 0.002981598 0.0032960633 0.0037240856 0.003957023 0.0035726766 0.0032145353 0.003991964 0.0034678546 0.003517354 0.005255649 0.0034183555 0.0040006987 0.0038463778 0.003855113 0.0037764965 0.0037269974 0.0033135337 0.0036542045 0.0035406477 0.0036600279 0.004131726 0.003054391 0.00281563 0.003575588 0.0030893316 0.004286047 0.002981598 0.004192872 0.0029350105 0.0035348241 0.00329024 0.002972863 0.0038871418 0.0029175403 0.0030369207 0.002876776 0.0040967856 0.0045976005 0.0036396459 0.0031300955 0.0043966924 0.0035697648 0.0041259024 0.0029903331 0.0034707664 0.0036920568 0.004379222 0.0031475658 0.006108782 0.002908805 0.0036833216 0.0035814117 0.004606336 0.004032728 0.0027573959 0.0039599347 0.0031475658 0.0035610297 0.003855113 0.0034503844 0.0037794083 0.0033572095 0.0029117167 0.0033775915 0.0034212673 0.0030252738 0.0033746797 0.0036949685 0.0035086186 0.0030602142 0.0034270906 0.003700792 0.0034270906 0.0033863266 0.003371768 0.0032756813 0.003319357 0.0038609365 0.0033979735 0.0037852318 0.0028593058 0.0031213604 0.0027981598 0.0032407406 0.0032320055 0.0043733986 0.0031592126 0.0028825996 0.0045684837 0.0046529234 0.0027777778 0.0029786862 0.003843466 0.0032611229 0.0038376427 0.003051479 0.003977405 0.003575588 0.0050139762 0.003124272 0.0033135337 0.0030980667 0.0031621244 0.003331004 0.0037386443 0.0042947824 0.0037794083 0.010324948 0.003823084 0.0034678546 0.0034795015 0.0028709527 0.0038318192 0.007011414 0.0037852318 0.0033251806 0.0035115303 0.0034358257 0.0031912415 0.0035814117 0.0028301887 0.0042831353 0.0027806894 0.0035522943 0.0029670394 0.003933729 0.0036629396 0.003464943 0.002908805 0.0035290008 0.0030660378 0.003517354 0.0037706732 0.0032058002 0.004169578 0.0030165385 0.003954111 0.0034241788 0.0037240856 0.0035231772 0.0031621244 0.0045393663 0.0034940601 0.0037240856 0.0034532961 0.0037357325 0.003875495 0.0035115303 0.0029058934 0.0039628465 0.0036425577 0.0031009784 0.0032436524 0.0045713955 0.004658747 0.0037182623 0.0042714886 0.0035697648 0.004370487 0.0034358257 0.0033339157 0.0050227116 0.0030805962 0.0037037036 0.006638714 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.054235768 0.051004924 0.052292876 0.053769413 0.050098535 0.05413782 0.05434395 0.05059705 0.05174758 0.052232936 0.051114567 0.056273684 0.053395163 0.051972713 0.052430294 0.05466411 1403.0 7.826087 10980.0 0.008652095 0.0070127505 0.0066484516 0.006193078 0.006284153 0.007468124 0.006010929 0.006193078 0.0071949 0.006193078 0.0064663026 0.0054644807 0.006557377 0.005919854 0.0071949 0.0048269583 0.0063752276 0.006010929 0.006921676 0.009380693 0.0058287797 0.0057377047 0.006557377 0.0070127505 0.0067395265 0.0071949 0.0071949 0.006557377 0.0048269583 0.006921676 0.005919854 0.0054644807 0.006830601 0.0356102 0.0063752276 0.0070127505 0.066848814 0.007377049 0.0067395265 0.03852459 0.006557377 0.036703095 0.006193078 0.0055555557 0.0067395265 0.00856102 0.035336975 0.006193078 0.037795994 0.007468124 0.0063752276 0.034335155 0.0063752276 0.00564663 0.006830601 0.0076502734 0.036247723 0.0072859745 0.019581057 0.005919854 0.0055555557 0.00564663 0.019945355 0.01010929 0.0063752276 0.010291439 0.006921676 0.021857923 0.011930783 0.017941711 0.0075591984 0.009653917 0.006557377 0.010291439 0.0072859745 0.0061020036 0.0104735885 0.010018215 0.010928961 0.0104735885 0.006921676 0.0055555557 0.0103825135 0.01010929 0.013661202 0.0072859745 0.0058287797 0.006284153 0.006557377 0.006284153 0.0064663026 0.0057377047 0.0058287797 0.0066484516 0.0066484516 0.006284153 6.17797 0.0 0.0 0.0 9.0 343440.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.3192178 0.026198557 0.02671037 0.012611465 0.022193808 0.008834883 0.026018392 0.0117517905 0.009440832 0.0053251176 0.0064572194 0.0056779645 0.0062552365 0.0036450436 0.0054547857 0.0031182673 0.005279609 0.009870357 0.006507715 0.0061448943 0.0027336269 0.0026949758 0.0055744792 0.00458015 0.0038545073 0.0021507442 0.0025989716 0.0027853695 0.0030602906 0.0026600652 0.0028751397 0.0056224815 0.008436527 0.0021445102 0.0023452463 0.0013970486 0.0014338294 0.0023764165 0.0018165995 0.0012617699 0.008442138 0.0011944423 0.0072607873 0.0012137678 0.0010342274 0.0010067977 0.002386391 0.0010030572 0.0034948033 0.0020859102 0.001329721 0.0010267466 0.0011850912 0.0010560466 0.0011782338 0.0008977019 0.003588314 0.003428099 0.0032267396 0.0016744634 0.0015578868 0.0010716317 0.0013839571 0.0017985208 0.0025135654 0.0019456442 0.0010616572 0.002534761 0.0015310805 0.002090274 0.0015666145 0.0016551379 0.0011657657 0.0025366312 0.0010130317 0.0013122656 0.001420738 0.0018278208 0.001547289 0.0013733592 0.001950008 0.001189455 0.0018371718 0.0026706632 0.0022274228 0.0013789699 0.001950008 0.0011096593 0.0035615074 0.0019337995 0.0013752294 0.0012505486 0.001160155 0.0015447953 0.0012181316 0.0035608842 0.0016775804 0.0088111935 0.0027822524 0.0042004967 0.005330105 0.013698058 0.0021769272 0.0027317568 0.0025353844 0.007556281 0.0015510294 0.0016277081 0.005115654 0.0035802096 0.007196577 0.012782278 0.0064553493 0.0010766189 0.010212606 0.008391019 0.009915865 0.0039174715 0.0017399208 0.0014194911 0.0015491592 0.0029524418 0.002690612 0.0075556575 0.0012355869 0.0034037863 0.0029231417 0.00077052746 0.0037672308 0.0018702123 0.0015485358 0.0017255825 0.0016495272 0.0014095167 0.0027666674 0.0013839571 0.001306655 0.0014413103 0.0020622208 0.0013259805 0.0015217294 0.0018857974 0.0021557314 0.0014699869 0.0014880656 0.00199801 0.001082853 0.0013315912 0.0012761082 0.0032279864 0.001897642 0.0011614019 0.0014681167 0.0020173357 0.0016401762 0.0009806147 0.0016607485 0.0011919487 0.0011913253 0.0011819742 0.0014893124 0.0011564146 0.0018833037 0.0012131444 0.0012243657 0.0013509167 0.0010547998 0.0013608912 0.0010666444 0.001277355 0.0013378252 0.0011788572 0.0012661337 0.0011981827 0.0011177636 0.0011595316 0.0011377125 0.0012736146 0.0010454487 0.00095505506 0.0010354742 0.0009444572 0.00093510613 0.0009188976 0.0011925721 0.0008509466 0.0009151572 0.0008559338 0.0011084125 0.0009151572 0.00084471254 0.00087837636 0.0011003083 0.0008665317 0.0008964551 0.0011470636 0.0010092913 0.0010117849 0.0024693036 0.0008565572 0.00087712955 0.00097188697 0.0009026891 0.0009307423 0.0008958317 0.0009151572 0.0008877274 0.0008970785 0.0015990315 0.001053553 0.0021501207 0.0009282487 0.0008852338 0.0007892296 0.00078174873 0.000913287 0.0009301189 0.00085157 0.0007948402 0.0007487083 0.0013022912 0.0012318465 0.00070507004 0.00097064016 0.0014107635 0.0010223828 0.00067888707 0.0010173955 0.00084408914 0.0007144211 0.0010940742 0.0008503232 0.0008415955 0.0007113041 0.00062963815 0.00072065514 0.00079920405 0.00066330197 0.0008085551 0.00067514664 0.00084782956 0.0009469508 0.00052365946 0.0006071956 0.0007181615 0.00055171264 0.00046692966 0.00049124245 0.000669536 0.00048064455 0.0005180488 0.00049373606 0.00090518274 0.0007443445 0.0011907018 0.0036431735 0.017849253 3.525609e-05 4.680012e-06 0.0 0.0 0.0006396016 0.0012779552 0.0012779552 6.240016e-07 0.0 0.0012785792 0.0012782672 0.0012779552 0.0013044754 0.0018904129 0.0 0.0042116987 0.00011544029 4.4616114e-05 3.120008e-06 4.9920127e-06 2.1840056e-06 1.560004e-06 1.560004e-06 3.8064096e-05 1.8720048e-06 6.895218e-05 0.0006246256 0.0006264976 0.00060122553 4.0248102e-05 3.120008e-06 0.0033671127 0.00033633687 2.9952076e-05 2.4336063e-05 4.0560103e-06 0.00056066544 0.0005815695 0.00013572034 9.360024e-07 9.422424e-05 0.00055567344 2.4960063e-06 9.360024e-07 0.0 3.6192094e-05 2.0592053e-05 0.012684393 0.001170627 0.00050575327 5.522414e-05 0.0001550644 0.00083553814 0.0006598817 0.00052353734 0.00037752098 4.4304114e-05 0.00044241713 0.0006467777 0.0006523937 0.0006495857 0.00033415286 7.113618e-05 0.01705958 0.001959053 0.00078437 1.6224041e-05 0.00010951228 4.3368113e-05 4.4928114e-05 4.0872106e-05 0.0018963409 0.001552516 2.1216054e-05 7.488019e-06 7.488019e-06 1.6848044e-05 4.305611e-05 3.93121e-05 0.008140101 0.00021372054 9.266424e-05 5.7096146e-05 0.00041839306 0.00011200829 0.00017815246 0.00049608125 0.0005790735 0.00057314546 0.0001962485 0.00016442442 3.2760083e-05 2.4336063e-05 3.0264078e-05 0.0001931285 0.044822346 0.0008639302 0.00075348193 0.00073819386 0.0025465505 0.0015029078 0.0037056336 0.0022089656 0.0010292906 0.0016735722 0.00078281 0.0008112021 0.0004368011 0.00056284945 0.0008118261 0.00064740167 0.047090903 0.0016869883 0.0040712985 0.0010994908 0.007059954 0.0053973016 0.0412125 0.02132775 0.0018470447 0.0014389476 0.0013272514 0.0005800095 0.00036691295 0.00032167282 0.00034788088 0.00028735274 0.062186126 0.0058309827 0.0060649836 0.0041258987 0.00310784 0.0029084715 0.010872915 0.008495782 0.0025297024 0.002338758 0.0022351737 0.0006913938 0.00069794577 0.00072571385 0.0006149536 0.00095035444 0.16169004 0.029405763 0.017926319 0.012541808 0.0045274436 0.0068353135 0.010359675 0.018861072 0.006652793 0.0061295675 0.0052893497 0.0041920426 0.003981442 0.0037979856 0.0022841578 0.0045667556 0.06744584 0.015530463 0.006016935 0.004438211 0.0028841353 0.0041015623 0.0072505865 0.0064499923 0.0050207167 0.0048066843 0.0024950705 0.0018043006 0.002662303 0.0032750724 0.0021300295 0.002346246 0.039579485 0.007453075 0.004327763 0.0032941045 0.0026704147 0.0033327925 0.0032716403 0.0026189347 0.0052534696 0.0028273512 0.0022457817 0.0017409645 0.0026183107 0.0018872928 0.0016938524 0.0014467477 0.0062637283 0.0014935478 0.0011147788 0.00063772965 0.0006898338 0.00077532197 0.0010133786 0.00095441047 0.0011962111 0.00041776907 0.0004661292 0.00040248103 0.000387505 0.0006364816 0.00039624103 0.00040684905 0.0032700803 0.0004336811 0.0004689372 0.00041901707 0.00038126498 0.000386881 0.000397177 0.0003472569 0.0003173048 0.0003510009 0.00036628894 0.00034538488 0.000390625 0.00036285692 0.00038376098 0.00032416882 0.0004988893 8.860823e-05 8.7672226e-05 7.644019e-05 7.89362e-05 7.76882e-05 9.328824e-05 8.4864216e-05 0.00011294429 0.00010764028 0.00011575229 9.952825e-05 0.00010171226 9.235224e-05 6.988818e-05 0.00013072834 0.0024916383 0.0024192543 0.0024729182 0.0024660544 0.0024629342 0.0024258061 0.0024460861 0.00241707 0.0024638702 0.0024579423 0.0024669904 0.0024283023 0.002407086 0.0023921102 0.002385246 0.002374326 8255.0 17.34561 143188.0 0.004804872 0.0023814845 0.0039109425 0.0017808755 0.0037433305 0.0016551666 0.0014596195 0.0013548621 0.0015853284 0.0015015225 0.0016062799 0.0013967651 0.0017250049 0.002926223 0.0068231975 0.0013478784 0.0029890772 0.0030658995 0.0032614465 0.0026468697 0.002479258 0.002116099 0.002437355 0.0019345196 0.0023884682 0.0020113417 0.0013548621 0.0014526357 0.0018297622 0.0013478784 0.0018367461 0.0014316842 0.0013269269 0.009917032 0.0051889825 0.014100344 0.00761237 0.007640305 0.006404168 0.0069070035 0.0035547672 0.012675643 0.0013967651 0.0030519317 0.005154063 0.006564796 0.005719753 0.0060689445 0.0073888875 0.001759924 0.010112579 0.014973322 0.010741124 0.0059921225 0.0052588205 0.004769953 0.0037433305 0.0035128642 0.00335922 0.0032684302 0.0030309802 0.0030658995 0.002926223 0.022033969 0.0034290582 0.048530605 0.011572199 0.024506243 0.023961505 0.09944269 0.011942342 0.01792748 0.012598821 0.046686873 0.0048677265 0.007772998 0.03446518 0.023102494 0.048062686 0.041944854 0.019820096 0.0037293627 0.04905439 0.036322877 0.06775708 0.020134369 0.009225633 0.0061038635 0.007444758 0.01754337 0.004679163 0.0030100287 0.0034919127 0.003079867 0.002758611 0.0012221695 5.576673 0.0 0.0 0.0 6.0 1604096.0 1630208.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1517519600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 1602048.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1602048.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.837088 0.0 3.2594433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1602020.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 1610120.0 1024.0 1613824.0 0.0 0.0 0.0 0.0 12.0 1622016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.2993965 0.0094099045 0.005589485 0.0103292465 0.012067795 0.0060548782 0.006382942 0.0027713776 0.006652832 0.0016794205 0.002450943 0.0014543533 0.004160881 0.0019512177 0.0076932907 0.005759239 0.0047512054 0.0010938644 0.000916481 0.0007286072 0.0031909943 0.0021944046 0.0008363724 0.00067424774 0.0023050308 0.0010738373 0.00062942505 0.0008020401 0.0018692017 0.0005979538 0.0006284714 0.0008277893 0.022990227 0.0007266998 0.0009727478 0.0009174347 0.013062477 0.0012521744 0.0011816025 0.0013341904 0.001914978 0.0008049011 0.0009088516 0.001493454 0.0014925003 0.0017147064 0.0019340515 0.000705719 0.0043792725 0.0017776489 0.0014133453 0.0034952164 0.0015592575 0.0011444092 0.0007019043 0.0007200241 0.0018529892 0.0015287399 0.0011615753 0.0028905869 0.0013303757 0.0017938614 0.0010261536 0.0017604828 0.0031604767 0.0029706955 0.0020971298 0.0018377304 0.00630188 0.0056972504 0.0056114197 0.0037183762 0.0018749237 0.0020103455 0.0009441376 0.0008163452 0.0038890839 0.0023288727 0.0019798279 0.0010690689 0.00628376 0.002954483 0.0027971268 0.004350662 0.003657341 0.0020189285 0.0038995743 0.0027093887 0.0010404587 0.0018663406 0.0005674362 0.0014104843 0.0016078949 0.0014925003 0.002169609 0.0018749237 0.0009393692 0.011717796 0.0018033981 0.005003929 0.0062408447 0.015737534 0.0042095184 0.003033638 0.0054502487 0.010406494 0.0040245056 0.0030078888 0.0077056885 0.0032348633 0.010624886 0.008997917 0.0049324036 0.000702858 0.009411812 0.0076961517 0.015226364 0.009430885 0.0026960373 0.0024909973 0.0013628006 0.002316475 0.0013599396 0.00036144257 0.0017795563 0.0011358261 0.0010194778 0.0014247894 0.0032396317 0.0018138885 0.00053310394 0.008538246 0.0026378632 0.004512787 0.0010976791 0.00061893463 0.002661705 0.0062770844 0.0010690689 0.017476082 0.0010700226 0.005288124 0.0006942749 0.000582695 0.0014696121 0.00039672852 0.0004892349 0.00064086914 0.00088119507 0.0006313324 0.00070667267 0.0005302429 0.00073337555 0.001912117 0.00053691864 0.000500679 0.0007209778 0.0005311966 0.00070858 0.0006093979 0.00091838837 0.0011606216 0.0005283356 0.00077724457 0.0009508133 0.00064373016 0.0004911423 0.00038146973 0.0009813309 0.0005598068 0.00046634674 0.0004911423 0.00086021423 0.0005979538 0.0007171631 0.0009431839 0.0009431839 0.0009727478 0.00061035156 0.0006313324 0.00092697144 0.00085926056 0.0014181137 0.0013790131 0.0017776489 0.0013875961 0.00075531006 0.00068473816 0.0010547638 0.0010728836 0.0008869171 0.0014619827 0.0062770844 0.0025491714 0.0029325485 0.002940178 0.0034446716 0.0011711121 0.001906395 0.003602028 0.0018091202 0.001663208 0.00085639954 0.0008869171 0.010456085 0.0010890961 0.0014820099 0.0009965897 0.001955986 0.0011205673 0.0013303757 0.0010671616 0.0013389587 0.0014123917 0.0011844635 0.0015335083 0.001411438 0.0016393661 0.0009508133 0.0016183853 0.0015144348 0.0011539459 0.0009202957 0.0008544922 0.0019035339 0.0010318756 0.001244545 0.000869751 0.0017881393 0.0011072159 0.0010251999 0.0010194778 0.008555412 0.0026712418 0.0012483597 0.0027780533 0.0017681122 0.0009832382 0.0008840561 0.0008878708 0.0022258759 0.0014562607 0.0013198853 0.0016918182 0.0019779205 0.001168251 0.003165245 0.0029878616 0.0032320023 0.0017175674 0.0013980865 0.0014867783 0.0023460388 0.0014181137 0.005124092 0.03268528 0.0048494013 1.5273705e-05 0.0 0.0 3.818426e-06 2.3865164e-06 1.2887189e-05 3.818426e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00092405913 5.3457967e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004120559 7.732313e-05 8.9255715e-05 1.6228312e-05 1.6705615e-05 1.3841795e-05 2.338786e-05 1.6705615e-05 2.5297073e-05 1.766022e-05 1.0500672e-05 2.0524041e-05 1.3364492e-05 9.5460655e-06 2.2910557e-05 0.0003937752 0.005783484 8.448268e-05 6.300403e-05 5.4889875e-05 7.445931e-05 0.00013603143 5.536718e-05 4.3434597e-05 9.2596834e-05 2.625168e-05 2.4342467e-05 2.768359e-05 9.927908e-05 2.1001344e-05 2.8638196e-05 0.00022767366 0.0103694135 0.00035320444 0.00025822106 0.00023006018 0.00013984986 0.00010930245 0.00015941929 0.00016132851 0.00012409885 0.00027063096 0.00012028043 0.00013316762 0.00012457615 0.00014700941 0.0001169393 0.00086773734 0.009652982 0.00030070107 0.0008305077 0.00069638545 0.00070354505 9.9756384e-05 0.00013841795 0.00016180582 0.00021765029 0.00017564761 5.966291e-05 7.159549e-05 6.157212e-05 0.00037611497 0.00017373839 0.00094267394 0.14540471 0.0019927411 0.019640552 0.004339164 0.007395337 0.0034647444 0.05952449 0.028832937 0.0007293194 0.00058756035 0.00030165567 0.0011965993 0.00089064793 0.0013894298 0.0022676678 0.0025898477 0.051765926 0.0012538757 0.0059438576 0.0026366233 0.0038566105 0.0020213793 0.012507255 0.0062774927 0.00084912253 0.00071881874 0.0005579675 0.0018925075 0.0015813058 0.00091212656 0.0008166659 0.0022051411 0.013788815 0.00036895543 0.00149205 0.0004381644 0.0018533686 0.0011455278 0.005329091 0.0030695375 0.001218078 0.00020285389 0.00026394872 0.0007694129 0.0009913589 0.0004940089 0.00045487002 0.0013555413 0.014728624 0.00050355494 0.0015092329 0.0013340627 0.0025874611 0.001186576 0.0044183964 0.0024686125 0.000714523 0.00096606184 0.0009875405 0.0007846866 0.0014271368 0.0013889525 0.0021163628 0.007844002 0.012711541 0.00044341476 0.00054555765 0.0008882614 0.0011565058 0.0007842093 0.0017688859 0.0009307414 0.0007579576 0.0011207081 0.0018352311 0.0015875107 0.0023554917 0.002573142 0.003161657 0.009412421 0.013589301 0.0007078408 0.001101616 0.0012820367 0.0019598072 0.002310625 0.0023884256 0.0018147071 0.0020924977 0.0017999107 0.0013746334 0.001507801 0.0027459257 0.0025783924 0.0024986826 0.006191101 0.059598472 0.009121265 0.01322321 0.009192861 0.014420287 0.01579301 0.008800518 0.009883519 0.029862957 0.0035158158 0.0034170141 0.0055286037 0.020724986 0.006114255 0.009365645 0.017019203 0.035497043 0.0077041523 0.00858955 0.006975787 0.011916831 0.013501001 0.006926625 0.0095441565 0.021265293 0.0023960625 0.00237172 0.0029234826 0.012923941 0.0048178993 0.008588118 0.01610135 0.00052742014 0.00015512356 0.00016419233 0.0004777806 0.00025869836 0.00016562424 0.00016944266 0.00019187592 0.00021526378 0.00020333119 0.00015512356 0.00038279724 0.00015941929 0.00020333119 0.00017087457 0.00030976982 3025.0 10.694215 32350.0 0.036506955 0.0013601236 0.0007727975 0.00092735706 0.024513138 0.0019474498 0.0012982999 0.0023183925 0.006522411 0.0015146831 0.0008346213 0.0017001545 0.0035857805 0.002782071 0.004729521 0.0017310665 0.024574962 0.013353941 0.0028748068 0.0051931995 0.003122102 0.00086553325 0.0038948995 0.0014219475 0.0038021638 0.0046058735 0.0022565688 0.003153014 0.0026584235 0.010139104 0.0016074189 0.0039258115 0.015270479 0.016043277 0.003122102 0.009582689 0.019227203 0.0051931995 0.008531685 0.0054714065 0.004760433 0.010664606 0.0021020093 0.0017001545 0.0128902625 0.0123338485 0.005996909 0.004636785 0.019721793 0.024173107 0.014683153 0.026491499 0.01595054 0.008284389 0.019258114 0.019598145 0.004420402 0.0057187015 0.0017310665 0.006615147 0.004451314 0.005904173 0.005965997 0.008593508 0.004296754 0.026522411 0.0089335395 0.019443586 0.017805256 0.051653787 0.0095517775 0.011684699 0.018763524 0.02927357 0.006862442 0.006306028 0.020772798 0.00812983 0.03446677 0.03366306 0.014343122 0.0010819165 0.03255023 0.019134467 0.041607417 0.020340031 0.00683153 0.0136939725 0.0080680065 0.0080061825 0.0019783617 0.00092735706 0.0023802165 0.0017619784 0.0024420402 0.007140649 5.975669 0.0 0.0 0.0 4.0 1048576.0 1056768.0 1.0 0.0 302.0 0.0 1.0 0.0 0.0 0.0 1206667800.0 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 8.0 0.0 4.0 0.0 4.0 0.0 385024.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -385024.0 0.0 548864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2448993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1143184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.610432 0.0 5.1684666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 84026.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -383376.0 0.0 548216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 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 -2.0 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 -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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -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 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -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 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 0.0 220.0 466380.0 548216.0 507904.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 390576.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 451576.0 0.0 0.0 1248.0 389120.0 0.0 0.0 0.0 0.0


Input: 0.36509708 0.034642186 0.004669631 0.0027247777 0.007572866 0.014638451 0.0050265454 0.0027049491 0.009276472 0.0015813294 0.0022918535 0.0010856149 0.006115465 0.0013764341 0.0010376958 0.006452551 0.004910879 0.0011880625 0.006554999 0.0011616244 0.0026256347 0.007782718 0.0006940004 0.0005171955 0.0018804105 0.0005998146 0.0005717241 0.00063947175 0.0010624815 0.00071217655 0.00045936214 0.0005072812 0.012521749 0.0004824955 0.0004742336 0.0005171955 0.0017564818 0.0019977295 0.000986472 0.0004263145 0.001873801 0.0011764958 0.00038830974 0.0007551385 0.0015714151 0.0009104624 0.0017779629 0.0006807813 0.00283053 0.002120006 0.0024587442 0.0036765495 0.0024157823 0.0031510922 0.0019035438 0.0017663962 0.0022786346 0.002159663 0.0030354254 0.0020439962 0.0028635778 0.0059915367 0.0021827964 0.0020671296 0.003501397 0.0022819394 0.0009220291 0.003509659 0.003116392 0.01885533 0.0021447917 0.0015301056 0.0020506058 0.0025975443 0.00040483355 0.0005205003 0.0018357962 0.0025826728 0.0013979151 0.0029379348 0.017657353 0.0012425912 0.0022009725 0.005271098 0.0023777774 0.003306416 0.0041491305 0.003341116 0.0021001773 0.0004180526 0.00027925253 0.0014607055 0.0012409388 0.0019118058 0.0021646202 0.0029461968 0.00061468605 0.005191784 0.001475577 0.0032634542 0.0033609446 0.012037601 0.003012292 0.0017994439 0.009960557 0.0051174266 0.00822721 0.0009914291 0.0052397028 0.0018044009 0.0053504123 0.004357331 0.003258497 0.00032056207 0.0054809507 0.004565531 0.011465877 0.0070341895 0.0014706198 0.0013433865 0.0011004863 0.0009815148 0.00048745263 0.00029908112 0.0010162148 0.00293463 0.00046597168 0.00046101454 0.0054264218 0.0016094199 0.0005337193 0.00964991 0.0037145542 0.0064442893 0.0004742336 0.00056676695 0.0010277815 0.0050662025 0.00041144306 0.022730164 0.00072374323 0.0036947257 0.0003470002 0.00031560494 0.0012260673 0.0002462049 0.00022802869 0.0002362906 0.0007534861 0.0006196432 0.00026272872 0.00022141916 0.00088898145 0.00030734303 0.000272643 0.0002544668 0.00047753836 0.0010492625 0.00025611918 0.00019663344 0.0006477337 0.0032849351 0.0002445525 0.00062460033 0.00091707194 0.00043622882 0.00036682875 0.00019167628 0.00083940994 0.00027594776 0.0002742954 0.00023794298 0.00055189553 0.00024290013 0.00028420967 0.00024950964 0.000964991 0.00031395254 0.00020654773 0.00021646202 0.0007551385 0.0002462049 0.00038500497 0.00056015747 0.0023695156 0.0006279051 0.00029247158 0.0003106478 0.0009980386 0.0006659099 0.000489105 0.0006345146 0.004656412 0.0007749671 0.0022075821 0.0008790671 0.0026884251 0.00023463822 0.0010525673 0.004722507 0.0010393482 0.0015218437 0.00029908112 0.00028420967 0.0070176655 0.000272643 0.00036848115 0.0002643811 0.0011203149 0.00040813832 0.00033378112 0.00061468605 0.0010938768 0.00030403826 0.0009269862 0.000761748 0.0021761868 0.00023959536 0.00022307155 0.00051389076 0.0011533626 0.00044779546 0.00030734303 0.00019828582 0.0013037293 0.00042300974 0.00022637632 0.00021646202 0.0009930815 0.00062460033 0.00046762405 0.00024950964 0.009843239 0.0055900076 0.00036187161 0.0025281443 0.00447465 0.00055189553 0.0003106478 0.0003734383 0.0025198823 0.00040648592 0.0003734383 0.00061468605 0.0024306537 0.0002825573 0.0011550148 0.0007799242 0.004332545 0.000579986 0.00062294793 0.00071382895 0.004739031 0.0011037911 0.0019960771 0.03361275 0.10508475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032880362 1.48967165e-05 7.4483582e-06 7.4483582e-06 8.275953e-06 1.6551907e-06 8.275953e-06 9.103549e-06 4.1379767e-06 1.48967165e-05 2.482786e-06 1.6551907e-06 3.3103813e-06 1.1586335e-05 4.1379767e-06 2.482786e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0043349443 8.2759536e-05 3.8069385e-05 0.00019365731 3.55866e-05 2.0689884e-05 2.648305e-05 2.8138242e-05 1.6551907e-05 6.538003e-05 4.965572e-05 4.800053e-05 5.9586866e-05 2.8965836e-05 2.8138242e-05 2.8138242e-05 0.0027476165 5.7931673e-05 7.03456e-05 2.648305e-05 2.8965836e-05 2.482786e-05 3.0621028e-05 2.648305e-05 3.9724575e-05 5.710408e-05 4.800053e-05 4.3034957e-05 5.9586866e-05 3.724179e-05 6.289725e-05 2.8965836e-05 0.011783303 0.0003732455 0.00040386652 7.448358e-05 0.0030215506 0.0018215374 0.00013407045 7.2000796e-05 5.131091e-05 0.00023751987 4.8828126e-05 3.9724575e-05 0.00024414062 3.55866e-05 0.00024579582 5.710408e-05 0.03924126 0.0002664857 0.0027277542 0.00084249204 0.0047206036 0.0028055483 0.010885362 0.0049771583 0.00031283105 6.372484e-05 5.5448887e-05 8.772511e-05 0.00016634667 3.6414196e-05 0.00014731198 0.000460143 0.11554224 0.0012480138 0.014395193 0.0031506554 0.010639566 0.00802602 0.034411415 0.0179373 0.0017545021 0.00036910753 0.00021682998 0.00015558793 0.000816009 0.00014400159 0.00032690016 0.0027310646 0.0068582827 0.00024579582 0.00047752252 0.00018455376 0.0010808395 0.0007787672 0.0031878971 0.0016667771 0.00029131357 9.020789e-05 9.3518276e-05 6.7035224e-05 0.0004055217 9.4345865e-05 0.00036662474 0.0010601496 0.0052858517 0.0004245564 0.00013076006 0.00074069784 0.0004286944 0.00043283237 0.0012885659 0.00054207497 0.0005702132 0.00011420816 0.00013324285 0.00024165784 0.00038483183 0.00012910487 0.0005139367 0.000503178 0.021164095 0.0037200411 0.002083885 0.025081104 0.003918664 0.0037622484 0.0032756224 0.0020880231 0.0057724775 0.0017991923 0.0020954714 0.002044988 0.003120862 0.002018505 0.0034047272 0.0044806013 0.0781192 0.011851992 0.0034560382 0.004619637 0.015687069 0.015744174 0.008282574 0.0032267943 0.02622153 0.0018397444 0.003653006 0.0030405852 0.012240135 0.0034212791 0.011127019 0.019503111 0.07036133 0.013341664 0.0042596334 0.0078605 0.01035239 0.018231098 0.010117353 0.011823854 0.02689602 0.0027972723 0.003202794 0.0041628047 0.0103052175 0.0046858448 0.012005925 0.026884435 0.0017031912 0.0002846928 0.00027807202 0.0002308991 0.00033848648 0.0004998676 0.00025407178 0.00034510726 0.0009103549 5.875927e-05 8.441472e-05 0.000115863346 0.00052138505 0.0001961401 0.00034593485 0.00061242055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1448.0 12.341851 17871.0 0.012702143 0.0038050474 0.003469308 0.0038050474 0.004140787 0.0042527 0.004644396 0.0028537854 0.0036371776 0.003469308 0.0031335684 0.0033573946 0.0035252643 0.0036371776 0.0044765263 0.0037490907 0.024397068 0.026579374 0.027082983 0.027810419 0.026243635 0.023110067 0.024453025 0.022158805 0.022942197 0.023669632 0.024061328 0.021879021 0.024453025 0.025236417 0.028705724 0.022438588 0.0034133513 0.005595658 0.0045884396 0.009568575 0.009400705 0.0048122657 0.006882659 0.008057747 0.004756309 0.0068267025 0.0033014382 0.0033014382 0.0053718314 0.0073303115 0.003693134 0.0064350064 0.005875441 0.0040288735 0.0072743553 0.0122544905 0.0064350064 0.0040288735 0.006099267 0.012142577 0.0033014382 0.0030216551 0.0031335684 0.0033573946 0.0041967435 0.003972917 0.003469308 0.0034133513 0.0030216551 0.022494543 0.0061552236 0.012198534 0.010911533 0.045548655 0.006994572 0.0096245315 0.0068267025 0.019360976 0.006770746 0.0057635275 0.021934979 0.008897096 0.016786974 0.022102848 0.0094566615 0.0033573946 0.01947289 0.013765318 0.03385373 0.010184097 0.0048682224 0.0057635275 0.0054837447 0.005819484 0.0036371776 0.002797829 0.0037490907 0.0030216551 0.0034133513 0.0027418723 6.114631 1.0 0.0 0.0 2.0 605187.0 638976.0 1.0 0.0 331.0 1.0 1.0 0.0 0.0 90.0 801548600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 51.0 2.0 60.0 3.0 51.0 3.0 51.0 323584.0 1024.0 4096.0 4.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -323584.0 0.0 123392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0128417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.658173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.085598 0.0 3.8850203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -323320.0 0.0 123132.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 -2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 320216.0 123132.0 413696.0 0.0 0.0 0.0 0.0 29136.0 540672.0 56.0 5488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1352.0 4136.0 0.0 0.0 0.0 0.0


Input: 0.121784024 0.0052013057 0.0035990349 0.0036847943 0.0039835228 0.0037248153 0.0036319094 0.0033917832 0.003746255 0.0034117936 0.003528998 0.003516134 0.0036118987 0.0034503853 0.0033746313 0.0038420197 0.0037791296 0.0032702906 0.0034246575 0.0034675372 0.0034460975 0.0037033756 0.0034103643 0.0032974477 0.0033975004 0.0032831547 0.00335605 0.0031845313 0.0035204221 0.0034503853 0.0030616096 0.0032831547 0.0038491664 0.003541862 0.0032860131 0.0032459921 0.003634768 0.003343186 0.0032660028 0.0032617147 0.003453244 0.0032903012 0.0033288929 0.003510417 0.0034160817 0.0033045944 0.0034818305 0.0033360396 0.003744826 0.0034503853 0.0033231757 0.0037662657 0.0034217988 0.003527569 0.0033003064 0.0033174583 0.0032788666 0.0034160817 0.0033846365 0.003541862 0.0033231757 0.0033703432 0.0033717726 0.0032817253 0.0035532967 0.0035390034 0.0034275162 0.0034318042 0.0034332334 0.003966371 0.0036376265 0.0035604432 0.0034989824 0.003333181 0.0033474742 0.0034203695 0.0034732546 0.003607611 0.0035046996 0.003263144 0.003966371 0.0034503853 0.0033674845 0.0038534545 0.0034346627 0.0037548312 0.0038748942 0.0037019462 0.0033846365 0.0034832598 0.0033274635 0.0033060238 0.0032602854 0.0032302695 0.003303165 0.003430375 0.0033317516 0.0035475793 0.003138793 0.0034675372 0.0035704484 0.0038391612 0.0035661606 0.0034246575 0.003763407 0.0037362499 0.0037376792 0.0032531389 0.0035532967 0.0034346627 0.0036333387 0.0036562078 0.0034904063 0.0031359342 0.0036776478 0.003594747 0.0044251834 0.0040178266 0.0033246048 0.0032688614 0.00337749 0.0034418094 0.003205971 0.0032288404 0.003448956 0.0033846365 0.0033489035 0.003298877 0.003613328 0.0036733598 0.0037748415 0.0038234387 0.0035304273 0.0040707113 0.0033131703 0.003337469 0.0034718253 0.0038505958 0.003554726 0.0043008323 0.0035575845 0.0039034807 0.0034589614 0.003333181 0.0034203695 0.0034017884 0.0034818305 0.0032116885 0.0034189404 0.00335605 0.0033917832 0.0032931599 0.003351762 0.0033231757 0.0034818305 0.0033260342 0.0035132756 0.0032459921 0.0032388456 0.003417511 0.0035590138 0.0034718253 0.003316029 0.00337749 0.0032831547 0.0033260342 0.0033589087 0.0032345576 0.0033860658 0.0033889245 0.0034618198 0.0033446155 0.0033989297 0.0033832071 0.0032302695 0.003276008 0.0032745786 0.0032088298 0.003338898 0.0032874425 0.0033975004 0.0032960186 0.0034475266 0.0032445628 0.0034032178 0.0032388456 0.0033060238 0.0033088825 0.0033546207 0.003147369 0.0032574267 0.0033145996 0.0037262447 0.0034146523 0.003586171 0.003430375 0.00335605 0.003276008 0.0033746313 0.0034189404 0.0035018409 0.0033889245 0.0032817253 0.0032545682 0.0033889245 0.0031773846 0.003338898 0.0031902485 0.0034603905 0.003303165 0.003143081 0.0033088825 0.003316029 0.0033446155 0.0031716675 0.0033303222 0.0031745262 0.0032688614 0.003160233 0.0034904063 0.0033474742 0.0031802433 0.0031988246 0.0032602854 0.003178814 0.0032617147 0.0032903012 0.0033131703 0.0033531913 0.0032345576 0.0033246048 0.0032774373 0.0038048574 0.0033274635 0.0032517095 0.0034060762 0.0033589087 0.0031573742 0.0031416516 0.0032417043 0.0033231757 0.0033188877 0.0033446155 0.003404647 0.0033003064 0.0031745262 0.0033303222 0.0034017884 0.0036390559 0.0033474742 0.003303165 0.0032617147 0.0033317516 0.0033103118 0.0033946417 0.005618668 0.102639295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002446418 3.6513702e-05 3.364988e-05 6.5867855e-05 2.5774378e-05 3.2933927e-05 6.729976e-05 3.794561e-05 4.080943e-05 1.9330782e-05 2.3626511e-05 2.4342467e-05 1.5751008e-05 2.3626511e-05 1.6466964e-05 2.2194603e-05 0.0011226173 8.591459e-06 2.0046738e-05 1.0739323e-05 4.1525385e-05 2.2910557e-05 0.00011813256 6.157212e-05 1.5751008e-05 3.5797746e-06 2.1478647e-06 3.5797746e-06 8.591459e-06 2.1478647e-06 6.4435944e-06 1.7898872e-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 0.0017447821 1.4319098e-05 0.000121712335 6.5867855e-05 9.6653916e-05 6.9447626e-05 0.0004940089 0.00026776714 1.5751008e-05 3.5797746e-06 2.1478647e-06 3.5797746e-06 7.875504e-06 2.1478647e-06 5.7276393e-06 1.7182918e-05 0.0007181028 6.4435944e-06 5.7276393e-06 1.3603143e-05 0.00010309751 5.4412572e-05 0.00034795408 0.00019187592 3.5797746e-06 4.2957295e-06 2.8638196e-06 3.5797746e-06 2.8638196e-06 7.159549e-07 2.8638196e-06 4.2957295e-06 0.0019194752 3.1502015e-05 0.000114552786 0.00012099638 0.0003415105 0.00021049075 0.0008634416 0.0005097599 1.9330782e-05 0.00013603143 2.2910557e-05 2.0046738e-05 2.6490332e-05 2.8638196e-05 2.4342467e-05 9.307414e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015321436 0.00012887188 0.00015536221 0.0001968876 0.0002670512 0.00023841299 0.00066011044 0.000380888 0.00015965794 0.00019831951 8.0186954e-05 5.7276393e-05 8.448268e-05 6.658381e-05 6.0856168e-05 0.00013173571 0.006530225 0.00090783084 0.0010273953 0.0008605778 0.0012106798 0.0015135286 0.00086129375 0.0011956447 0.0031781239 0.00024557253 0.00050689606 0.0007166709 0.0012013724 0.00044174417 0.0008863522 0.002176503 0.0052472334 0.0010195198 0.0010882515 0.0012457615 0.0012071 0.0015550541 0.0012450456 0.0014218865 0.0023111023 0.00039162734 0.0006658381 0.0005097599 0.00097083487 0.0005383981 0.00083480345 0.0017419183 0.053095218 0.05220958 0.05198835 0.05225397 0.05273151 0.05247019 0.051970452 0.0516182 0.052863963 0.052939855 0.05255324 0.051536582 0.051827975 0.051386233 0.051124908 0.051740628 3062.0 6.608426 20235.0 0.014974055 0.007363479 0.009191994 0.0066716084 0.009043736 0.008598962 0.007709414 0.007709414 0.008895478 0.008944898 0.0076105758 0.008154188 0.008104769 0.008104769 0.010773412 0.008302446 0.016456634 0.011465283 0.00943909 0.00948851 0.008598962 0.00948851 0.0070669632 0.008648382 0.007659995 0.0088460585 0.008994317 0.00800593 0.008697801 0.007758834 0.009093155 0.0071658017 0.009636768 0.014331603 0.008302446 0.012750185 0.012157153 0.010625155 0.01166296 0.011020509 0.00943909 0.01092167 0.008994317 0.008154188 0.009735607 0.0106745735 0.0112181865 0.00800593 0.0117617985 0.009735607 0.01027922 0.0152211515 0.011069928 0.00943909 0.008994317 0.010081542 0.00943909 0.009290833 0.0071658017 0.00731406 0.0074623176 0.00805535 0.008253027 0.011465283 0.0076105758 0.0141339265 0.007907092 0.01388683 0.012799605 0.02564863 0.012255992 0.010822832 0.011366445 0.02050902 0.007709414 0.00874722 0.01319496 0.0123054115 0.016555473 0.02050902 0.012700766 0.008450705 0.019570053 0.01536941 0.025105016 0.010328638 0.009587348 0.00874722 0.009241413 0.010526316 0.008203608 0.006276254 0.00805535 0.0075117373 0.008253027 0.006424512 6.5112486 1.0 6.0 0.0 8.0 699632.0 778240.0 1.0 0.0 107.0 0.0 1.0 1.0 0.0 0.0 1109274200.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 2.0 7.0 10.0 5.0 2.0 4.0 0.0 31232.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31232.0 0.0 659968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50958425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.627657 0.0 7.5667253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69844.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30880.0 0.0 663552.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 0.0 160.0 36416.0 3412.0 114688.0 0.0 0.0 6896.0 619008.0 0.0 0.0 28.0 8656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 456.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.21918595 0.0037902808 0.0030588862 0.0031363491 0.0031633712 0.0029598058 0.00289135 0.0027994753 0.0029796218 0.0029111663 0.002794071 0.0027220123 0.0028156885 0.002666167 0.0029201736 0.0033435177 0.0036857957 0.008852395 0.0028535193 0.0025941085 0.0029291809 0.0027616448 0.002797674 0.002794071 0.002716608 0.0025400645 0.002790468 0.002754439 0.0030264598 0.0027039978 0.0027418286 0.0027796593 0.003190393 0.002747233 0.002844512 0.002646351 0.002875137 0.002968813 0.0028355047 0.0029832248 0.0029057618 0.0028066812 0.002774255 0.0027634462 0.0028048798 0.0028066812 0.002848115 0.0028373061 0.0028931515 0.0030931141 0.0028102843 0.0027616448 0.002754439 0.0025796967 0.0026805787 0.0026373437 0.003089511 0.0030408716 0.002794071 0.0027039978 0.002720211 0.0027526373 0.002770652 0.0027400272 0.0038695452 0.003069695 0.0025869026 0.002801277 0.0028174901 0.0029057618 0.0029580044 0.0030354671 0.0037344354 0.0033363118 0.0033128927 0.003147158 0.0030444746 0.0027382257 0.0028859456 0.0027220123 0.0031633712 0.0028805414 0.0028228944 0.0028463134 0.0030588862 0.0029291809 0.0027922695 0.002723814 0.0028427106 0.0026679686 0.0026301378 0.0026265348 0.0026841818 0.002576094 0.0025742925 0.0031453564 0.0028769383 0.0031759813 0.0030048424 0.0028048798 0.007856186 0.008126405 0.003631752 0.007663429 0.004400977 0.0030588862 0.0028409092 0.0028463134 0.0029544013 0.0028607252 0.0031039228 0.0029724159 0.0029039604 0.0028769383 0.0037074133 0.004372154 0.0033921571 0.0029706145 0.0028859456 0.0027688504 0.0027562403 0.0027094022 0.002921975 0.0025869026 0.0027328213 0.002813887 0.0028228944 0.0033921571 0.002995835 0.0027076008 0.002619329 0.0028373061 0.0029093646 0.0035290683 0.0025851012 0.0025256528 0.002689586 0.0029381881 0.0027814608 0.0034407966 0.007647216 0.0035110537 0.002736424 0.002599513 0.002676976 0.0028174901 0.002696792 0.002676976 0.0027832622 0.0025004323 0.0027562403 0.0025472704 0.0027274168 0.0028895487 0.0026175275 0.0029544013 0.0027526373 0.0026877846 0.0027814608 0.0026103216 0.0027886666 0.0026715714 0.002538263 0.0032660547 0.0026949905 0.003069695 0.0025977115 0.0027490344 0.0028661296 0.0027184095 0.0027076008 0.002790468 0.002676976 0.0023995503 0.0027616448 0.002599513 0.0027076008 0.0027256154 0.002619329 0.0026067188 0.0030642906 0.0032174152 0.002676976 0.0027292182 0.0028697324 0.0027256154 0.0029291809 0.002898556 0.002696792 0.0026949905 0.0026751743 0.0027508358 0.0031759813 0.0027526373 0.0028427106 0.0027922695 0.002619329 0.0027490344 0.0025869026 0.00310032 0.0027760563 0.0025869026 0.002666167 0.0027292182 0.0026571597 0.002794071 0.0028571223 0.00274363 0.0031111287 0.0033561278 0.002658961 0.0028823428 0.002945394 0.002848115 0.0027039978 0.0026247334 0.002767049 0.0027994753 0.0026805787 0.0028949531 0.0030264598 0.0028589237 0.0026085202 0.002696792 0.0029616072 0.0027688504 0.0029255778 0.0029652102 0.002777858 0.0028264974 0.002797674 0.0025832998 0.003873148 0.0028661296 0.002875137 0.0029093646 0.0028282988 0.0028355047 0.0028697324 0.0029850262 0.0029652102 0.002658961 0.0026013143 0.0026265348 0.0026481524 0.0027850638 0.0029165705 0.0031813858 0.0034876347 0.0028661296 0.0026337407 0.0028355047 0.0028769383 0.017566077 0.0033813484 0.009769341 0.012939001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012179955 0.004021777 2.3466382e-05 1.0830638e-05 2.617404e-05 9.928084e-06 2.9784254e-05 3.7907233e-05 0.00015253149 1.8051063e-06 9.025532e-06 5.415319e-06 1.8953617e-05 1.8051063e-06 2.0758722e-05 8.574255e-05 0.0030425068 1.5343403e-05 9.928084e-06 4.1517444e-05 8.393744e-05 9.476808e-05 0.013166445 0.00012274722 1.2635744e-05 1.6245956e-05 1.1733191e-05 1.3538297e-05 3.6102126e-06 6.317872e-06 9.0255315e-07 0.012932684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016426467 8.2132334e-05 0.0 0.0 1.8051063e-06 0.0 0.0007996621 1.8051063e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007987595 0.007412669 0.0006029055 9.928084e-06 0.00014801872 0.0006426178 0.00032221148 0.0014314493 0.00078883144 0.0020370625 9.0255315e-07 1.8051063e-06 2.7076594e-06 1.8953617e-05 0.0 0.0003158936 0.0010514744 0.003532593 0.00058575696 0.00014982383 6.859404e-05 0.00024639702 4.9640425e-05 0.00021209999 8.574255e-05 6.859404e-05 5.5958295e-05 4.5127657e-05 6.588638e-05 4.332255e-05 5.1445528e-05 3.7907233e-05 0.00024639702 0.007151831 0.0010207876 0.00016697233 0.00025903276 0.0007364834 0.00046300975 0.0012022008 0.0010767459 0.0023899607 0.00015523915 0.00013809063 0.00018863361 0.00012455233 0.00015523915 0.00043051786 0.0009765625 0.005870206 0.00032852934 0.00024188425 0.00026083787 0.00075994973 0.00037636465 0.00067871995 0.00071301695 0.00027798637 0.0002581302 0.00019585404 0.00019224382 0.0002788889 0.00017960808 0.0001444085 0.00033394466 0.008838703 0.00041336933 0.00036102126 0.00038358508 0.0006471306 0.00043232297 0.0005550702 0.0009693421 0.001595714 0.0004909889 0.00040975912 0.0005126502 0.0005316038 0.00046752254 0.0003853902 0.0014901152 0.006991177 0.00050903996 0.0010397412 0.00043412807 0.001375491 0.00058485445 0.001070428 0.0014386697 0.00093685015 0.0005586804 0.00053431146 0.00053611654 0.00060200295 0.000620054 0.00073467824 0.0023664944 0.0052952794 0.00072565273 0.0011985906 0.00048467104 0.0014729667 0.0008186157 0.00093685015 0.0015144842 0.0015984216 0.00072113995 0.0009260195 0.00065796124 0.0007626574 0.00076355995 0.0009982238 0.0033060522 0.014762159 0.003542521 0.0035695976 0.0032121867 0.0036535352 0.003241971 0.0039026397 0.0030388965 0.0033782565 0.0029233696 0.0030749985 0.0031120032 0.0032266276 0.0034856603 0.0037591339 0.004659882 0.17559622 0.039499335 0.03887206 0.039520998 0.039327852 0.038573317 0.040232208 0.0388495 0.038631078 0.038328726 0.038579635 0.039329655 0.038838666 0.039763782 0.03984772 0.03961035 7158.0 10.086337 72198.0 0.010111083 0.009612455 0.009654007 0.009307737 0.009460096 0.00970941 0.011565417 0.011745478 0.010623563 0.010665115 0.00969556 0.00970941 0.010180337 0.010443503 0.010249591 0.010194188 0.009931023 0.010374249 0.010235741 0.010471204 0.0103881 0.010041829 0.009806366 0.010235741 0.009806366 0.010152636 0.010665115 0.010734369 0.0104296515 0.010360397 0.009931023 0.0106789665 0.010637414 0.011232998 0.010097233 0.011080639 0.010180337 0.009820216 0.010845176 0.011080639 0.01040195 0.010969833 0.009584753 0.0101387855 0.011080639 0.010665115 0.010997535 0.010900579 0.010014128 0.009986427 0.0104296515 0.011219148 0.010651264 0.010942131 0.0107897725 0.0104296515 0.010692817 0.010706668 0.010637414 0.010014128 0.010277293 0.01005568 0.009861769 0.0133937225 0.010872877 0.012257957 0.011717776 0.010498906 0.01091443 0.011648522 0.0107897725 0.010124934 0.010955982 0.010817474 0.010235741 0.009903321 0.010942131 0.010277293 0.010498906 0.010360397 0.010291144 0.009681708 0.011316103 0.0104296515 0.011468462 0.009418543 0.010665115 0.009529349 0.010041829 0.00987562 0.009307737 0.008933766 0.009376991 0.009986427 0.0094877975 0.0103881 6.5819516 1.0 0.0 0.0 76.0 555104.0 552960.0 0.0 0.0 65.0 0.0 1.0 1.0 0.0 0.0 1100814500.0 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 6.0 4.0 6.0 0.0 4.0 0.0 4.0 0.0 528384.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -528384.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.068193 0.0 5.3368177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -527844.0 0.0 13248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 530468.0 13248.0 536576.0 0.0 0.0 2144.0 552960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 348.0 4096.0 0.0 0.0 0.0 0.0