Input: 0.015428367 0.00465762 0.0045083375 0.004859152 0.004933793 0.0044710166 0.004605371 0.004650156 0.005486139 0.0042396286 0.004082882 0.0044784807 0.0045083375 0.004306806 0.0044784807 0.0045605865 0.0046800124 0.0041276664 0.0039037424 0.0039112065 0.004262021 0.0033887173 0.0040082405 0.0042172363 0.004135131 0.003985848 0.0036798185 0.003933599 0.0039485274 0.004030633 0.003538 0.0038888142 0.0047247973 0.004030633 0.0039112065 0.0039410633 0.0041873795 0.0037544598 0.0035753206 0.0034036455 0.003985848 0.0034708227 0.003709675 0.0036126412 0.004038097 0.0037171391 0.0038813502 0.003545464 0.0040231687 0.0036350337 0.0038813502 0.003709675 0.0038888142 0.003873886 0.0036126412 0.0037171391 0.0036275694 0.004157523 0.0037768523 0.004202308 0.0036947466 0.0039485274 0.0036201053 0.003649962 0.0045531224 0.0039559915 0.0037395316 0.0040754178 0.0040679537 0.003873886 0.004053025 0.0038664218 0.0040157046 0.0037917804 0.003814173 0.004030633 0.0038365654 0.004090346 0.0038067088 0.0037992445 0.0041649872 0.003873886 0.0036872826 0.0040679537 0.0038813502 0.004030633 0.0041724513 0.004306806 0.0036723544 0.0038514936 0.003926135 0.0038440295 0.0038589577 0.0038440295 0.0038365654 0.003709675 0.0037843164 0.0036201053 0.003829101 0.0039037424 0.0040082405 0.004030633 0.0037246032 0.0037320673 0.004209772 0.0035902488 0.004112738 0.003709675 0.0038365654 0.0039783837 0.0036648903 0.0036872826 0.0037171391 0.0035827847 0.0041276664 0.004112738 0.004866616 0.0049039368 0.00409781 0.003821637 0.004045561 0.0037246032 0.0035603924 0.00332154 0.003649962 0.0036798185 0.0036201053 0.0036051772 0.0045531224 0.003985848 0.0036798185 0.004381447 0.0040231687 0.0040007764 0.0035827847 0.0034857509 0.004053025 0.004426232 0.003597713 0.0050457553 0.0039559915 0.004762118 0.0036051772 0.0034633586 0.004269485 0.0034782868 0.0036201053 0.0033588607 0.0033663248 0.0037843164 0.003552928 0.0037171391 0.0037843164 0.003597713 0.0035305358 0.0036648903 0.0034633586 0.0034857509 0.003545464 0.0035081434 0.0033887173 0.0039709196 0.0036051772 0.0036275694 0.003097616 0.0037246032 0.0037768523 0.0035678565 0.0037619239 0.0036126412 0.0035006793 0.0036051772 0.003538 0.0038813502 0.0035156074 0.003538 0.003873886 0.0036798185 0.0037320673 0.0036648903 0.0038888142 0.0037171391 0.0040082405 0.004112738 0.003597713 0.0036275694 0.0037469957 0.0036947466 0.003426038 0.0036350337 0.0036872826 0.003709675 0.004150059 0.004090346 0.0037768523 0.0036723544 0.0036275694 0.0036275694 0.0039783837 0.0037469957 0.004053025 0.0039410633 0.0035305358 0.0034932152 0.003814173 0.0035753206 0.0036201053 0.0035753206 0.0040007764 0.0036051772 0.0038067088 0.0033887173 0.003709675 0.003657426 0.003597713 0.0036648903 0.0037320673 0.003702211 0.0035230715 0.0040754178 0.0037768523 0.0036275694 0.003821637 0.0037395316 0.0039634556 0.0036126412 0.003381253 0.003545464 0.003985848 0.0031871856 0.0036350337 0.0036424978 0.0037917804 0.0036350337 0.0033663248 0.00431427 0.0037843164 0.0039186706 0.0036275694 0.0037469957 0.004135131 0.0035902488 0.003597713 0.0035902488 0.0037395316 0.0033513966 0.0038888142 0.0040007764 0.0040157046 0.0035230715 0.003657426 0.0042172363 0.0036872826 0.003657426 0.0037693882 0.0045307297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035693739 0.00036715722 0.00032173572 0.0003368762 0.00023846293 0.0002460332 0.0003520167 0.00021575218 0.00042771923 0.00019682656 0.00014004965 0.00021196705 0.0002914547 0.00022332244 0.00022332244 0.000389868 0.0029788942 0.0003065952 0.00030281008 0.00020818193 0.0004087936 0.00034066133 0.00052991766 0.00045421513 0.00044285975 0.00019304143 0.00015140504 0.00025738857 0.00026874396 0.00026874396 0.0002800993 0.00035958696 0.0020553234 0.00048449612 0.0003520167 0.00028388444 0.00048449612 0.00041636385 0.000510992 0.000510992 0.0005374879 0.0002800993 0.00025738857 0.0003065952 0.00026495883 0.00034823158 0.00028766957 0.00037094235 0.07314756 0.06272711 0.060637716 0.060384113 0.06247729 0.061958726 0.060153224 0.06139853 0.063298665 0.057223536 0.057337087 0.059259932 0.059668727 0.05861646 0.05843099 0.060024526 669.0 5.8340807 3903.0 0.012810659 0.009223674 0.012298232 0.011785806 0.010248527 0.010248527 0.009223674 0.0097361 0.010760953 0.007430182 0.007173969 0.007173969 0.006661542 0.008711248 0.012810659 0.010760953 0.007942609 0.009992314 0.008455034 0.008711248 0.007173969 0.0097361 0.008711248 0.0097361 0.010248527 0.0097361 0.008711248 0.009992314 0.008967461 0.010760953 0.011785806 0.007173969 0.012298232 0.009992314 0.0097361 0.010760953 0.014347938 0.009992314 0.01050474 0.0097361 0.009479887 0.006661542 0.012042019 0.0097361 0.011273379 0.008711248 0.009992314 0.008967461 0.0097361 0.010760953 0.008967461 0.012810659 0.01050474 0.01050474 0.011273379 0.013323084 0.010248527 0.009479887 0.010760953 0.01050474 0.007430182 0.012042019 0.007430182 0.007686395 0.011785806 0.013066872 0.009992314 0.011529593 0.012042019 0.014860364 0.010760953 0.011529593 0.011273379 0.011273379 0.012042019 0.011529593 0.012298232 0.010248527 0.009479887 0.013066872 0.008711248 0.009223674 0.01614143 0.015116577 0.017934922 0.012042019 0.007686395 0.012042019 0.012042019 0.012298232 0.009992314 0.011273379 0.008455034 0.008967461 0.008711248 0.009992314 6.55797 0.0 0.0 0.0 6.0 133974.0 77824.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1540458400.0 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 7.0 10.0 4.0 0.0 4.0 0.0 24576.0 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 -512.0 0.0 0.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6304808 0.0 0.0 0.0 0.0 -7.853804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -24576.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 71416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.07070717 0.0043089837 0.0033179661 0.0031430805 0.0038377645 0.0036677371 0.003055638 0.0028321731 0.0041729617 0.0029099 0.0027884517 0.002492118 0.003536573 0.0052368483 0.002919616 0.0034345563 0.0036240157 0.022618521 0.0027981675 0.0029487633 0.0031042171 0.0035268571 0.0024581125 0.0026281402 0.0025115497 0.0023220906 0.002428965 0.0021374892 0.0041972515 0.0043964265 0.0028564627 0.002492118 0.00333254 0.0031382227 0.0029681951 0.0032305233 0.004095235 0.0028175993 0.0031770861 0.0023803855 0.0042361147 0.002963337 0.0028175993 0.0028613207 0.0028758945 0.004017508 0.0030410641 0.0024824021 0.0030604957 0.0030945013 0.0025309816 0.0035754363 0.0025504131 0.0027398723 0.0024483965 0.002428965 0.0027835937 0.0026864351 0.0024483965 0.0028516047 0.0024629703 0.0028273151 0.0026767193 0.0029536213 0.003750322 0.004425574 0.0025212655 0.004440148 0.0034977095 0.0054263077 0.0029293317 0.0029584793 0.0024581125 0.0024192492 0.0024095331 0.0024095331 0.0027252987 0.003400551 0.0033082503 0.0028953261 0.004853072 0.0032305233 0.028894966 0.0036968845 0.002963337 0.003521999 0.0041778195 0.003944639 0.0027350145 0.00387177 0.0024824021 0.0026767193 0.0026718613 0.0049405145 0.00319166 0.0028613207 0.0029973427 0.003677453 0.0024824021 0.0033033923 0.002982769 0.0039300653 0.0037746115 0.0022978007 0.0044692955 0.0031382227 0.0046101753 0.0026961511 0.0032693867 0.0042652623 0.0055088922 0.0027933097 0.003609442 0.0035122833 0.0032742447 0.0033859771 0.00539716 0.0053923023 0.0027495883 0.0026670035 0.0026135664 0.0023901016 0.0034782777 0.0026670035 0.0025358393 0.003031348 0.0025795607 0.0024726863 0.002919616 0.003254813 0.0025941345 0.0047170497 0.0032791027 0.003808617 0.0022395058 0.002705867 0.0029099 0.004989094 0.0038571963 0.0064221835 0.0027593041 0.004979378 0.002496976 0.0021131996 0.002501834 0.017075624 0.0025504131 0.0041000927 0.0025892765 0.0026572875 0.002569845 0.0026135664 0.0032256653 0.002501834 0.0022978007 0.0022055001 0.0026961511 0.004168104 0.0029244737 0.0025066917 0.003055638 0.002987627 0.0025795607 0.0028175993 0.0028904683 0.0032013757 0.004697618 0.00347342 0.0042846943 0.004070945 0.0044450057 0.0042361147 0.0039057755 0.0056254826 0.008501377 0.0023269483 0.0023803855 0.0024581125 0.0022783692 0.002428965 0.0040369397 0.0028224573 0.0030410641 0.0122079775 0.002637856 0.0026961511 0.003395693 0.0023658117 0.002356096 0.002701009 0.0033908351 0.0022735111 0.004425574 0.003531715 0.0026281402 0.0034588461 0.0034102667 0.0031382227 0.0029390475 0.0027252987 0.0026961511 0.0028904683 0.0026038503 0.0024143911 0.0023269483 0.007967005 0.0024824021 0.0025941345 0.0025455551 0.0023901016 0.0026475717 0.026762335 0.0023366644 0.005202843 0.0026184241 0.0021374892 0.0026767193 0.0026475717 0.0030022007 0.0023706697 0.0027398723 0.0043867105 0.0029584793 0.0023658117 0.003322824 0.0028564627 0.0023220906 0.0022540796 0.0027350145 0.0032353813 0.003531715 0.0030119165 0.006378462 0.0031576543 0.0031333647 0.0032305233 0.003521999 0.004289552 0.0029439055 0.002360954 0.003521999 0.003055638 0.0025164078 0.0025406973 0.0029730531 0.0032110917 0.0034782777 0.0026184241 0.0036434473 0.0029536213 0.0042021093 0.0027884517 0.0031479385 0.008919159 0.0061452813 0.013568198 0.004926758 0.010007325 4.8828124e-06 0.0 1.2207031e-05 2.4414062e-06 2.4414062e-06 2.4414062e-06 2.4414062e-06 0.005004883 0.0 9.765625e-06 7.3242186e-06 0.015004883 7.3242186e-06 4.8828124e-06 0.0 0.0 0.0 0.0 0.0 0.0005444336 0.0 0.0 0.0 0.0 0.0 0.0044555664 0.0 0.0 0.0 0.0 1.7089844e-05 0.004008789 2.4414062e-06 0.0 0.0 0.001953125 0.00026123048 2.4414062e-06 2.4414062e-06 0.004260254 2.4414062e-06 2.4414062e-06 1.4648437e-05 0.0044702147 0.0 2.4414062e-06 0.008937988 7.324219e-05 0.000100097655 2.6855469e-05 7.080078e-05 0.0002758789 0.00010253906 8.056641e-05 1.4648437e-05 2.9296874e-05 1.4648437e-05 4.1503907e-05 5.859375e-05 5.3710937e-05 9.033203e-05 2.9296874e-05 0.0043676756 4.6386718e-05 3.173828e-05 1.953125e-05 5.6152345e-05 0.0010302734 0.00012451172 0.0001953125 4.1503907e-05 4.1503907e-05 3.6621095e-05 0.0038354492 3.90625e-05 4.1503907e-05 4.3945314e-05 4.8828126e-05 0.0041210935 0.0033129882 5.3710937e-05 4.3945314e-05 6.347656e-05 0.0017993164 7.324219e-05 5.6152345e-05 4.6386718e-05 0.003117676 4.6386718e-05 7.080078e-05 0.0012329102 7.080078e-05 7.8125e-05 0.00081298826 2.4414062e-06 0.0 0.00069824216 0.0 0.00019042968 0.003059082 0.0 0.0 2.4414062e-06 2.4414062e-06 2.4414062e-06 0.0019555665 0.0 0.0040844725 2.4414062e-06 0.0 0.0034277344 0.0015625 7.080078e-05 5.859375e-05 8.300781e-05 0.0044433596 0.0004248047 0.00021972656 0.00037109375 0.0018505859 0.00014648438 0.001340332 0.0007666016 7.5683594e-05 6.591797e-05 9.2773436e-05 0.0015844726 0.0021728515 0.0 0.0 0.0 0.007875976 0.0023632813 0.0 0.00028808592 0.0013769531 7.5683594e-05 0.0 0.001459961 0.0011889648 0.0 0.0016137696 0.0013671875 8.056641e-05 0.0007910156 7.8125e-05 0.00026123048 0.0020336914 7.080078e-05 7.080078e-05 9.521484e-05 0.000637207 0.002524414 7.080078e-05 0.0012573242 0.00049560546 9.521484e-05 7.080078e-05 0.0033251953 0.00017578126 0.00025146484 0.00013427735 0.00022949219 0.002902832 0.00032714845 0.0002807617 0.0001928711 0.0010595703 0.0023876952 0.00020507812 0.00094726565 0.002182617 0.0001977539 0.00020019531 0.013144531 0.0007861328 0.0007861328 0.0006665039 0.00071044924 0.0006689453 0.0006689453 0.00084228517 0.00079833984 0.00068115233 0.0012475586 0.0007470703 0.0007421875 0.0008691406 0.0008666992 0.0007739258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006291504 0.00080810545 0.0007495117 0.0006567383 0.0011352539 0.0020874024 0.0018896484 0.001159668 0.0006713867 0.0008520508 0.0035107422 0.00067871093 0.00092773436 0.0005517578 0.00079589844 0.0022338866 0.0067578126 0.0014526367 0.0015869141 0.0014233398 0.0026293946 0.0024072265 0.004833984 0.0033520507 0.0021435546 0.0021630859 0.0040991213 0.0012988282 0.0023388672 0.00140625 0.0021044922 0.0050024414 0.06255127 0.04269287 0.045334473 0.04104248 0.046552733 0.049868163 0.045109864 0.045532227 0.051486816 0.038198244 0.049152832 0.038879395 0.04251221 0.039482422 0.04802002 0.058583986 727.0 14.480055 10527.0 0.004369716 0.002754821 0.0037047593 0.004844685 0.006079605 0.0032297901 0.004369716 0.0034197776 0.031347964 0.0039897407 0.0040847347 0.0025648333 0.0046546976 0.005414648 0.0045597036 0.004179728 0.0035147716 0.0046546976 0.004274722 0.0031347962 0.0028498147 0.0033247839 0.0035147716 0.0033247839 0.002754821 0.0036097653 0.0028498147 0.0029448087 0.0030398024 0.003799753 0.004274722 0.0028498147 0.005414648 0.004749691 0.0035147716 0.0064595803 0.004179728 0.0050346726 0.0039897407 0.0038947468 0.0038947468 0.0023748456 0.0039897407 0.0031347962 0.0036097653 0.003799753 0.010639308 0.004179728 0.0044647097 0.0046546976 0.5165764 0.004749691 0.0038947468 0.0050346726 0.004369716 0.0037047593 0.0031347962 0.005509642 0.0036097653 0.0039897407 0.0025648333 0.006174599 0.004939679 0.004274722 0.0039897407 0.0063645863 0.0030398024 0.016053956 0.003799753 0.005984611 0.004749691 0.0036097653 0.004274722 0.0039897407 0.0050346726 0.0036097653 0.004844685 0.005414648 0.049966753 0.0037047593 0.0052246605 0.004274722 0.004274722 0.0051296665 0.006174599 0.0058896174 0.0028498147 0.008834425 0.0029448087 0.0028498147 0.003799753 0.0032297901 0.0028498147 0.0032297901 0.0040847347 0.0031347962 3.986652 0.0 0.0 0.0 2.0 205849.0 438272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1486255700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 376832.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376832.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5909076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376549.0 0.0 1768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 382456.0 1768.0 434176.0 0.0 0.0 0.0 0.0 0.0 0.0 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 380928.0 0.0 0.0 0.0 0.0


Input: 0.15017493 0.0062315115 0.004057949 0.002446147 0.0064922445 0.0022067467 0.001690022 0.0012112219 0.006129589 0.001386624 0.0013439585 0.00074901397 0.004057949 0.0015406932 0.0005641308 0.002668955 0.005164878 0.00054990896 0.00049539213 0.00076086546 0.0021877845 0.002654733 0.00040295054 0.0004408753 0.0018393507 0.0022470418 0.00046220797 0.0017966854 0.0018014259 0.00067790505 0.0002702139 0.0004906515 0.003491448 0.0004456159 0.0002512515 0.00047880007 0.008841209 0.00072294066 0.0006352397 0.00022043765 0.0011519645 0.0003626555 0.00028917627 0.0010263388 0.00083434465 0.00043376442 0.0006233882 0.0004906515 0.0017469091 0.00084145553 0.0005854634 0.0022020063 0.0020834913 0.0006115367 0.00041243175 0.00033658222 0.0014150675 0.0011827784 0.00031524955 0.0025551806 0.0010121169 0.0008011605 0.00032236043 0.00039583966 0.002894133 0.0037853648 0.008819876 0.003683442 0.0037687728 0.0036881827 0.0030600538 0.0011211507 0.0015312121 0.0009694516 0.0005593902 0.00063286937 0.0037829946 0.002415333 0.0009907843 0.00057361193 0.0050819176 0.0019246815 0.0011448537 0.002465109 0.0014672141 0.0017232061 0.0041669826 0.0028277647 0.0009528595 0.0018512022 0.00040769114 0.0013344774 0.0008888615 0.0026096974 0.0027021389 0.004233351 0.0009765625 0.0018440913 0.0009884139 0.0015051388 0.002495923 0.003944175 0.0015359527 0.0007940496 0.002559921 0.00175402 0.004178834 0.0005143545 0.0017587607 0.00064472086 0.0019791983 0.0015122497 0.0012586279 0.00039346935 0.002097713 0.0015738774 0.008582846 0.0066297217 0.00111641 0.0011306318 0.0011045586 0.00050961395 0.00067079416 0.0002678436 0.00167343 0.0010713744 0.0012657387 0.00037213668 0.0025148855 0.0009030833 0.000438505 0.0067814207 0.0019910499 0.003960767 0.00046694858 0.00047642976 0.0022754855 0.0064116544 0.001403216 0.018071147 0.00063998025 0.0047003 0.00032236043 0.0003484337 0.0051625078 0.00017066141 0.00029154657 0.0006162773 0.0011495942 0.0005404278 0.00021095647 0.0001801426 0.00057598227 0.16230612 0.000438505 0.0002536218 0.060852643 0.00013510695 0.0003626555 0.0001659208 0.0004550971 0.0008106417 0.00065657235 0.0030316103 0.003925212 0.0027282122 0.00019673468 0.0004574674 0.0006162773 0.00020858616 0.00046931888 0.00027732478 0.0013463289 0.0011330021 0.00057835254 0.00030813864 0.0063500265 0.00021095647 0.00024414062 0.00012088516 0.0005309466 0.001562026 0.00058783375 0.0005522793 0.00159521 0.0022873369 0.00029865745 0.008189377 0.0004432456 0.00033895252 0.0090829795 0.00043139412 0.0048022224 0.0018962378 0.0020716398 0.0030079074 0.004100614 0.00050487334 0.0016449863 0.001983939 0.0013676615 0.0014364002 0.000438505 0.0007158298 0.0033610817 0.00046220797 0.0011377428 0.0005380575 0.11245639 0.016990291 0.0005475387 0.00050013274 0.004799852 0.031107781 0.0029960559 0.00052146544 0.0041906857 0.004776149 0.00031287925 0.00066842383 0.00057598227 0.0038730658 0.0003602852 0.0010263388 0.0012159626 0.0008912318 0.00038635847 0.0002844357 0.00065657235 0.00036739607 0.00029628718 0.00023940003 0.008514108 0.0019649765 0.00046694858 0.0024888122 0.0017990557 0.0003436931 0.00050013274 0.00024651093 0.002192525 0.0011235209 0.00041243175 0.0006636832 0.0008793803 0.0002820654 0.0013226259 0.000964711 0.0022683744 0.00068975653 0.00040058026 0.00058309315 0.0019507547 0.0005570199 0.0022067467 0.02344698 0.036457144 1.1880322e-06 0.0 0.0 7.1281934e-06 1.1880322e-06 1.1880322e-06 0.0 4.752129e-06 0.03851482 0.0 0.0 5.3461452e-05 0.00036353787 4.752129e-06 1.6632452e-05 0.006876331 0.00014969206 4.6333258e-05 8.7914384e-05 8.910242e-05 3.801703e-05 0.00010217077 5.3461452e-05 6.1777675e-05 0.020480487 4.752129e-06 1.7820483e-05 5.9401613e-05 0.0010419043 4.9897353e-05 3.801703e-05 0.0022228083 0.00019008516 6.415374e-05 5.464948e-05 9.2666516e-05 8.4350286e-05 0.0 7.1281934e-06 5.7025547e-05 0.026091564 3.5640967e-06 1.1880322e-06 4.9897353e-05 0.009918882 4.6333258e-05 4.5145225e-05 0.0044420525 0.00035997375 8.4350286e-05 0.00022097399 0.00031601658 0.0003207687 5.821358e-05 2.4948677e-05 6.5341774e-05 0.022690227 3.3264903e-05 0.00030294823 0.0003243328 0.028863244 0.00012593142 0.00016157239 0.0025530814 0.0016026555 4.158113e-05 0.00057381956 0.00070212706 0.0006652981 0.00015088009 7.959816e-05 4.9897353e-05 0.07468683 0.0001770168 0.019783113 0.0008185542 0.05051513 0.00041937537 0.00046570864 0.0047354964 0.0006415374 0.00018889713 0.0005666914 0.0008209303 0.0006783664 0.0005203581 0.000294632 7.484603e-05 0.010417854 8.316226e-05 0.0005417427 0.0006094605 0.03749192 0.00035046952 0.00037779426 0.0039965403 0.00037779426 9.741864e-05 0.00021859792 0.0003397772 0.0002174099 0.00033502508 0.0002875038 7.7222096e-05 0.0033003537 0.00012474338 0.0006367853 0.000294632 0.008897173 0.00012236732 0.00014137583 0.024924917 0.0011523913 0.0015266214 0.00067005015 0.002917807 0.00079716963 0.00420801 0.0022418168 0.00054293073 0.011972989 0.0022738937 0.0032504562 0.00023047825 0.01874596 0.0003944267 0.0020089624 0.0031756102 0.00072945177 0.00024473463 0.00030651232 0.0005203581 0.001365049 0.0006593579 0.00038967456 0.00020196548 0.0105330935 0.0068359375 0.0017345271 0.00042769162 0.015977846 0.00021622187 0.00047758897 0.0066553564 0.00051441794 0.00032195673 0.00023760645 0.0017654159 0.0014577155 0.00421395 0.0023035945 0.0007781611 0.006789604 0.0030128497 0.0006593579 0.00030888838 0.006325084 0.00044313603 0.0007092552 0.011661724 0.00040987114 0.0005417427 0.0004015549 0.0021978596 0.00069975096 0.0021705348 0.0017618518 0.0016192879 0.00058451184 0.0004906573 0.0009432976 0.0012212972 0.00035759772 0.00033027297 0.0013721773 0.009462677 0.0002542389 0.0012403056 0.0007924175 0.0035201395 0.0007805372 0.0030176018 0.0017642279 0.00038017033 0.00026730724 0.00026493118 0.00038611048 0.00045858044 0.00081499014 0.0002684953 0.00065816985 0.0006355973 1.4256387e-05 0.00022929022 0.00012830748 0.00030294823 4.0393097e-05 0.00045026423 0.00023166629 1.6632452e-05 1.6632452e-05 1.7820483e-05 1.7820483e-05 1.6632452e-05 0.00025780298 2.3760645e-05 3.3264903e-05 0.027652638 0.0049303337 0.0045846165 0.0040012924 0.010026992 0.009141908 0.003981096 0.007189971 0.01761139 0.0022750818 0.0013210919 0.0015907752 0.008433841 0.002245381 0.0065721944 0.012528988 0.045822404 0.010953657 0.011112854 0.008597789 0.018711507 0.019541942 0.0091371555 0.013139636 0.030288883 0.005355649 0.002581594 0.0030294822 0.016219016 0.004310181 0.011342144 0.020999657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1281.0 9.594848 12291.0 0.019038321 0.0008949638 0.00056952244 0.005613864 0.020828249 0.0017899276 0.010739566 8.136035e-05 0.0027662518 0.00024408103 0.00040680173 0.0016272069 0.0018712879 0.0018712879 0.007810593 0.002115369 0.007891954 0.004393459 0.008624197 0.0040680175 0.011959971 0.0017085673 0.0021967294 0.0013017656 0.0029289725 0.004230738 0.0011390449 0.0030103328 0.0029289725 0.00097632414 0.0015458466 0.00463754 0.01171589 0.02123505 0.0054511433 0.018061997 0.01635343 0.010576845 0.013993979 0.010251404 0.0056952243 0.008054675 0.0010576845 0.00235945 0.015865268 0.00935644 0.0030916932 0.0052884226 0.020014646 0.010088683 0.011227728 0.021316411 0.013261736 0.0069969897 0.017004313 0.01627207 0.002115369 0.0027662518 0.0011390449 0.0050443416 0.0026848915 0.008054675 0.0037425759 0.021479132 0.0011390449 0.031323735 0.0064274673 0.020502808 0.018956961 0.0703767 0.007322431 0.012366773 0.009763242 0.033195022 0.007566512 0.005125702 0.028964283 0.011959971 0.033439104 0.040517453 0.015377105 0.0013017656 0.035717193 0.021967294 0.059637133 0.01651615 0.004474819 0.012610854 0.008054675 0.007566512 0.0019526483 0.00056952244 0.0060206656 8.136035e-05 0.00463754 0.0011390449 5.852602 0.0 2.0 0.0 2.0 421888.0 438272.0 0.0 0.0 297.0 0.0 1.0 0.0 0.0 0.0 1034779200.0 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 151552.0 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 28672.0 0.0 0.0 0.0 0.0 0.0 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 -151552.0 0.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.740716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3490396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.638876 0.0 3.7202635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28150.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147558.0 0.0 213344.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -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 -1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 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 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 -1.0 0.0 1.0 1.0 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 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 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -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 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 -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 -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 -2.0 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 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 -2.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 1.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 200.0 177296.0 213344.0 221184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1224.0 155648.0 0.0 0.0 0.0 0.0


Input: 0.109219365 0.0071320366 0.004316759 0.00383414 0.006139986 0.0041022617 0.004920033 0.0030833993 0.0050272816 0.0023594708 0.0024801255 0.0030968054 0.006260641 0.0032978966 0.0024399073 0.0052417787 0.004048637 0.0023460647 0.0030029628 0.0023192526 0.0022924403 0.007199067 0.002413095 0.0023058464 0.0061802045 0.0030297749 0.0026275923 0.003069993 0.0028152775 0.003043181 0.0037268912 0.0026141864 0.003378333 0.0022656282 0.0021449735 0.003043181 0.0047859717 0.002882308 0.0022790341 0.0025739681 0.0020243186 0.0024399073 0.0025203438 0.002560562 0.0026007802 0.0027482472 0.0027750593 0.0027884655 0.004812784 0.006300859 0.0036464548 0.0044240076 0.0033917392 0.0042631347 0.0034319574 0.0029761505 0.004048637 0.0042631347 0.0034051454 0.00414248 0.0044240076 0.005630555 0.0031102113 0.0028420896 0.01602027 0.0029895566 0.0023594708 0.0031102113 0.0031906478 0.0056573674 0.0038207339 0.0027482472 0.0031236175 0.0035526122 0.0024265011 0.0035660183 0.002895714 0.0031236175 0.0025739681 0.0028420896 0.0061533926 0.0034319574 0.0026409985 0.0034453636 0.003069993 0.0036062365 0.005161342 0.004035231 0.00253375 0.002104755 0.002721435 0.002721435 0.0034051454 0.0035258 0.0032442722 0.0030968054 0.0031236175 0.0043971953 0.0032576784 0.0052551846 0.0031906478 0.005308809 0.008941858 0.002560562 0.0051479363 0.0036062365 0.0058316463 0.0025203438 0.0040888553 0.0032978966 0.0031906478 0.003941389 0.0030163687 0.0026678108 0.0039145765 0.0038743583 0.008405615 0.006046144 0.0028420896 0.003204054 0.004169292 0.0058182403 0.0026544046 0.002708029 0.0026275923 0.0035526122 0.0026544046 0.0030565872 0.0056841793 0.0026007802 0.0024667194 0.0073063155 0.0028554958 0.006046144 0.0049066264 0.0023460647 0.002734841 0.004651911 0.0026678108 0.0075610313 0.003860952 0.0049468447 0.0027482472 0.0037402974 0.0024801255 0.0027750593 0.005576931 0.0050675 0.0026275923 0.0030029628 0.002734841 0.003069993 0.0039145765 0.0033381148 0.002560562 0.0023594708 0.0028554958 0.0025069376 0.0022656282 0.0021583794 0.00253375 0.0037268912 0.0014210448 0.0033247087 0.0028286837 0.0024265011 0.0021985976 0.0024265011 0.0021315673 0.002399689 0.0022388159 0.0026678108 0.0021449735 0.0024935317 0.0024935317 0.0024533132 0.002091349 0.0021985976 0.0019841003 0.0026946228 0.0024801255 0.002587374 0.0028018714 0.0034855818 0.0034319574 0.002721435 0.0018768517 0.0023594708 0.0021717856 0.0024935317 0.0031236175 0.0026678108 0.0052149664 0.0034051454 0.0026007802 0.0052015604 0.00482619 0.002386283 0.0033917392 0.0056841793 0.002386283 0.0027482472 0.0026409985 0.0026409985 0.0033381148 0.0024667194 0.0027482472 0.002587374 0.0030163687 0.002721435 0.0029627446 0.0033247087 0.00253375 0.002252222 0.002895714 0.002587374 0.0027750593 0.0023594708 0.0025739681 0.0022656282 0.003351521 0.002560562 0.0026007802 0.0025203438 0.0044240076 0.0029493384 0.002091349 0.0026141864 0.002895714 0.0030968054 0.0025069376 0.002386283 0.0066762296 0.0032442722 0.0020243186 0.0037268912 0.0034587695 0.0028420896 0.002734841 0.0024935317 0.004155886 0.002560562 0.0024533132 0.0031236175 0.003204054 0.0028018714 0.0031906478 0.0024935317 0.00482619 0.002882308 0.002587374 0.0025739681 0.0034989878 0.002708029 0.0038207339 0.025203437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015184859 0.00027508804 0.0005983165 0.00029571963 0.0010315801 0.00048828125 0.0029571962 0.0019393706 0.0006877201 0.001609265 0.00017880721 0.0002819652 0.00015817562 0.00015817562 0.00032322842 0.0020012653 0.02717182 0.001265405 0.0012447733 0.0013272997 0.0029296875 0.0023863886 0.005886884 0.0037480744 0.0022763535 0.00079775526 0.00052266725 0.00062582525 0.0015198614 0.00071522885 0.0009696853 0.002950319 0.016381493 0.001265405 0.0011691242 0.014772227 0.0020287742 0.0014579665 0.0043051275 0.0029915823 0.0014579665 0.0025445642 0.0010384573 0.0011828785 0.0012103873 0.0010865977 0.0011553697 0.0022901078 0.011533066 0.0008596501 0.0010109486 0.00079775526 0.0013891945 0.0013616857 0.0021525638 0.0016986686 0.0018912302 0.00035761442 0.00040575484 0.00050891284 0.0011003522 0.00043326363 0.0009009133 0.0017674406 0.005990042 0.0008390185 0.0005501761 0.0006670885 0.0020081426 0.0008458957 0.002675231 0.0015611246 0.0038924955 0.00020631602 0.00019256162 0.0008046325 0.002083792 0.0005845621 0.0015886334 0.0036793023 0.049887214 0.010700924 0.0056461818 0.009394256 0.019937005 0.014531525 0.01132675 0.014792859 0.02186262 0.007771237 0.0043601454 0.004277619 0.00948366 0.0052335495 0.0097381165 0.02640845 0.039633308 0.038237236 0.033987127 0.038436674 0.035396952 0.03456481 0.03876678 0.034798637 0.03584397 0.036462918 0.03326502 0.03378081 0.039048746 0.03552762 0.03581646 0.033897724 636.0 8.490566 5400.0 0.015555556 0.006111111 0.005740741 0.005185185 0.007222222 0.0053703706 0.005185185 0.0053703706 0.0044444446 0.006851852 0.005740741 0.0055555557 0.0064814813 0.006851852 0.008148148 0.0064814813 0.0129629625 0.015740741 0.014259259 0.012037037 0.011481482 0.01 0.011851852 0.010740741 0.008518519 0.012592592 0.011111111 0.011481482 0.0112962965 0.017777778 0.009259259 0.006111111 0.0053703706 0.014629629 0.006851852 0.010185185 0.010555555 0.009259259 0.009074074 0.01 0.007222222 0.01037037 0.005925926 0.009444444 0.008333334 0.0075925924 0.006296296 0.005925926 0.008518519 0.007037037 0.007222222 0.0112962965 0.009444444 0.009259259 0.008148148 0.01 0.007777778 0.005185185 0.0055555557 0.0064814813 0.008703704 0.009074074 0.0044444446 0.008333334 0.005 0.01962963 0.011666667 0.017407408 0.014814815 0.045555554 0.014444444 0.01 0.012037037 0.022592593 0.008518519 0.005925926 0.02462963 0.013518519 0.018888889 0.025555555 0.011666667 0.0064814813 0.023518518 0.017962962 0.032962963 0.010740741 0.005925926 0.010555555 0.01 0.01037037 0.006111111 0.0053703706 0.004814815 0.006111111 0.005740741 0.0044444446 6.381863 0.0 0.0 0.0 1.0 74593.0 49152.0 0.0 0.0 98.0 1.0 1.0 0.0 0.0 0.0 908628400.0 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 -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 4.0 20.0 4.0 0.0 4.0 0.0 18432.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 0.0 512.0 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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18432.0 -2560.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.326097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.661893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8045726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.35347 -5.1710486 3.3029363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2338.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 146.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5877.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18030.0 -2560.0 1284.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 50.0 24672.0 120.0 36864.0 1284.0 40960.0 0.0 0.0 0.0 0.0 2032.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 412.0 37396.0 0.0 0.0 0.0 0.0


Input: 0.11059721 0.007605638 0.004395824 0.0055163284 0.006492029 0.0035752703 0.0032115374 0.0034994208 0.0074315285 0.0028926246 0.0037390364 0.0021686065 0.004423406 0.003590785 0.0023185818 0.006529954 0.004795758 0.0021668826 0.0020634516 0.002163435 0.0039355555 0.0077590607 0.002353059 0.0018221122 0.0034839062 0.002327201 0.0038166097 0.0023220296 0.004763005 0.0021927406 0.0024013268 0.0021823973 0.013601197 0.0019514011 0.003601128 0.002875386 0.008824402 0.002372021 0.0021789498 0.0024116698 0.0028391853 0.0020910332 0.0019427818 0.0027736789 0.0024495944 0.004244125 0.002620256 0.003030533 0.0036045758 0.0020375939 0.0023599542 0.005966254 0.0024944148 0.0025237203 0.0022547992 0.0020031168 0.0025823312 0.0025219964 0.0024495944 0.0039234883 0.003921765 0.0037959234 0.0037528272 0.0031615456 0.0043647946 0.00442513 0.007307411 0.006938507 0.0106051415 0.005438755 0.0036993877 0.0029874365 0.002983989 0.0028805577 0.0015704298 0.0020048406 0.003251186 0.0033408264 0.0025702643 0.002363402 0.008569271 0.003461496 0.002232389 0.0038183336 0.0030925917 0.007815948 0.004928495 0.0049371137 0.002399603 0.0037235217 0.0020910332 0.002418565 0.0022427323 0.0032236043 0.0033701318 0.0033408264 0.0025668165 0.005564596 0.0034425335 0.0043406608 0.0047681765 0.008353789 0.009093323 0.0033597888 0.00493539 0.00519052 0.0054249642 0.0026668 0.0056404457 0.0033408264 0.0051508714 0.0056869895 0.0039596893 0.0019807066 0.0060714087 0.0053629056 0.012397948 0.007943513 0.0032356714 0.0029253778 0.0027667833 0.0026702476 0.0024599377 0.0019048571 0.002668524 0.0025788834 0.002270314 0.0027891935 0.0035959566 0.002842633 0.0020496608 0.0072212187 0.003368408 0.008041772 0.0022444562 0.001965192 0.0029064154 0.007102273 0.0024995862 0.015326774 0.0024599377 0.0077090687 0.00205828 0.0017997021 0.002092757 0.0017324719 0.001753158 0.0017979783 0.0025357872 0.0024495944 0.0020668993 0.0017583297 0.0023099624 0.0019755352 0.0018290076 0.0018893424 0.0021117195 0.0015962875 0.0017324719 0.0020617277 0.0019376103 0.0027512687 0.0018445223 0.0017031664 0.002222046 0.0020686232 0.0018496938 0.0019169241 0.0026443899 0.0018789993 0.0019514011 0.0020496608 0.002034146 0.0020513847 0.0018807232 0.0019548489 0.0023599542 0.0017617773 0.001882447 0.0018652085 0.0023082385 0.002232389 0.0020600038 0.0023427156 0.00250131 0.0019600205 0.002211703 0.0022651423 0.0047785193 0.0035769942 0.002211703 0.002232389 0.0067075104 0.0033132448 0.003227052 0.0038855637 0.0034425335 0.002306515 0.0027202393 0.00329773 0.0031512026 0.002816775 0.0020082882 0.00203587 0.003402885 0.0021203386 0.0024944148 0.0021996358 0.0028805577 0.0023651258 0.0022254938 0.00226859 0.0024013268 0.0021565396 0.001989326 0.001882447 0.0028150512 0.002139301 0.0018634846 0.0023099624 0.002492691 0.002092757 0.0018893424 0.0019048571 0.0029650265 0.0022616945 0.0021496443 0.0018083213 0.0027340301 0.0025151009 0.0019445057 0.002211703 0.008098659 0.0025685404 0.0021203386 0.0038924592 0.003544241 0.0020910332 0.0019738113 0.0019220957 0.0043113553 0.0025513018 0.0026478376 0.0030339805 0.0032029182 0.0023927074 0.0034701154 0.002573712 0.003835572 0.0027960888 0.002023803 0.0021599873 0.0033597888 0.0023909835 0.0027943652 0.04106562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016696627 3.4568584e-05 2.5926438e-06 8.642146e-07 8.642146e-07 8.642146e-07 2.5926438e-06 8.642146e-07 2.5926438e-06 0.0 2.5926438e-06 3.2840155e-05 3.4568584e-06 1.7284292e-06 8.642146e-07 1.2963219e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002895119 1.3827434e-05 1.4691648e-05 1.2099004e-05 0.00013481748 0.0002834624 3.370437e-05 2.5062223e-05 6.827295e-05 1.2099004e-05 9.506361e-06 5.1852876e-06 9.506361e-06 8.642146e-06 7.777931e-06 6.049502e-06 0.0042268736 0.00018062085 4.8396018e-05 1.9012721e-05 0.00012876798 7.950774e-05 8.4693034e-05 4.7531805e-05 5.1852876e-05 2.3333794e-05 4.0618088e-05 0.00013481748 1.4691648e-05 2.3333794e-05 5.1852876e-05 0.0001538302 0.007904971 0.00022210315 0.00068705063 2.1605365e-05 0.00021000415 8.642146e-05 0.0017802821 0.0010059458 2.1605365e-05 5.1852876e-06 1.6420077e-05 0.000177164 1.2099004e-05 1.2099004e-05 1.3827434e-05 0.00021259679 0.011497511 0.00063692615 0.0008624862 6.827295e-05 0.0016152171 0.0010543418 0.0026427682 0.0013481748 5.444552e-05 5.5309734e-05 6.740874e-05 0.000531492 2.5926438e-05 1.4691648e-05 8.555724e-05 0.0006784085 0.013312362 0.00034482163 0.005149855 0.0036314297 0.0040868707 0.002634126 0.010085384 0.0034119193 0.0002782771 0.00022296737 0.00023247373 0.0007466814 0.00029469718 0.00015296598 0.00018580614 0.0012470616 0.019441372 0.0034853774 0.007858303 0.0033436462 0.00447836 0.0023627628 0.015055482 0.007529902 0.000366427 0.0005600111 0.0006931001 0.0029962321 0.00058939436 0.00038284707 0.0005297636 0.0064332136 0.011811221 0.0018217644 0.0020758435 0.0012159499 0.0037221722 0.002392146 0.006088392 0.0031880876 0.0004943308 0.00042778623 0.0004554411 0.0016687984 0.0005332204 0.0005263067 0.0006438399 0.0036426645 0.00630531 0.0005021087 0.0015668211 0.0008166828 0.0014224972 0.0009394013 0.0038034085 0.0017941095 0.000499516 0.00018839879 0.00020309043 0.00071816234 0.00032062363 0.00075013825 0.000628284 0.0007803858 0.0028303028 0.000354328 0.0002488938 0.00033877214 0.000543591 0.00050470134 0.0010966883 0.00065248203 0.0015149682 0.00033531527 0.00029988246 0.0004312431 0.00048223176 0.0002653139 0.0003560564 0.00213461 0.024904937 0.004489595 0.003330683 0.004397124 0.007562742 0.007902378 0.0037722967 0.005561221 0.0146164615 0.0012159499 0.0014631153 0.0022426369 0.0067460593 0.002485481 0.005118743 0.0139250895 0.041614525 0.011857889 0.010562431 0.0090535125 0.01635699 0.017609237 0.007087424 0.011860481 0.0285597 0.0021925124 0.00300401 0.003741185 0.013587182 0.005487763 0.010006741 0.028657356 0.029208725 0.026725836 0.027171772 0.02632484 0.026597068 0.025951501 0.027566718 0.027354121 0.026852012 0.026533118 0.026328297 0.025202226 0.026635958 0.025653346 0.02727202 0.026941026 3658.0 16.58502 60668.0 0.095931955 0.0016483155 0.015856795 0.006197666 0.0075492845 0.002983451 0.0023076416 0.0025054393 0.003313114 0.0023241248 0.002027428 0.0013845849 0.002043911 0.0038076087 0.007285554 0.012263467 0.009378915 0.0030493836 0.0030329004 0.008999802 0.0021263268 0.0017636975 0.005373508 0.002043911 0.0022252258 0.0059174523 0.0040218895 0.0046482496 0.014834839 0.01295576 0.015032637 0.0042361706 0.010433837 0.010236039 0.0027526869 0.01473594 0.034350894 0.0046812156 0.009032768 0.004615283 0.0024889563 0.006395464 0.0011703039 0.001813147 0.0064449133 0.003527395 0.0026043383 0.0032636644 0.010796466 0.0031482824 0.004153755 0.008538274 0.00799433 0.04447155 0.0062471153 0.0074009364 0.0017307312 0.0024065406 0.0020768775 0.0025384058 0.0017966639 0.0023735743 0.0021263268 0.0071042394 0.0023406078 0.028301576 0.012988726 0.022186326 0.02393354 0.04555944 0.04712534 0.014933738 0.012032703 0.0276917 0.0030493836 0.0042526536 0.027180722 0.01165359 0.02304345 0.034927804 0.013812883 0.0013681018 0.03067515 0.021279752 0.04404299 0.010516252 0.0073020374 0.0065767784 0.005472407 0.0064284303 0.002027428 0.0013516187 0.001598866 0.0012197534 0.0010054724 0.001598866 5.7474203 1.0 5.0 7.0 7.0 580096.0 593920.0 1.0 0.0 372.0 0.0 1.0 0.0 1.0 0.0 1543331000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 16.0 5.0 1.0 5.0 1.0 186368.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 67072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -186368.0 0.0 318464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4882054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1644397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5850854 0.0 7.758114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 66692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -186103.0 0.0 318460.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -4.0 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 -1.0 0.0 0.0 -2.0 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 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 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 1.0 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 -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 -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 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 -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 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 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 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 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 250684.0 318460.0 274432.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 241168.0 0.0 0.0 0.0 0.0 24.0 241440.0 64.0 241280.0 0.0 0.0 1556.0 192512.0 0.0 0.0 0.0 0.0


Input: 0.4526215 0.005858935 0.0036430557 0.003680613 0.0049763387 0.0026102306 0.0023848868 0.0017839705 0.006009164 0.0013332833 0.0015774055 0.0012957259 0.003004582 0.0013145047 0.0012581687 0.003211147 0.007041989 0.0022909937 0.001859085 0.0012393901 0.0027416812 0.00482611 0.0016149628 0.0009952678 0.0018966424 0.0012957259 0.0008074814 0.00097648916 0.0014083978 0.00097648916 0.0010891609 0.00078870275 0.0064035156 0.00088259595 0.0012769473 0.0010703823 0.00371817 0.0013332833 0.0011079396 0.0009013746 0.0014083978 0.0009201532 0.00076992414 0.0012018328 0.0014835123 0.0012206114 0.0025914519 0.0011267182 0.0024224443 0.0013145047 0.0016149628 0.0025726734 0.0015398483 0.0016149628 0.0012206114 0.0012018328 0.0015586269 0.0017464133 0.0010140464 0.0027604597 0.0011267182 0.0012393901 0.0012018328 0.00086381735 0.010215579 0.0028543528 0.0014647337 0.0023661084 0.003680613 0.0059152707 0.0029670247 0.0020656502 0.0019529783 0.0022909937 0.0014647337 0.0015586269 0.0021407646 0.0025726734 0.0021219861 0.0012769473 0.009539547 0.0017839705 0.001708856 0.005126568 0.0018027492 0.0027416812 0.0040561855 0.0034740479 0.0014083978 0.0011079396 0.0009389319 0.001708856 0.0015961842 0.0015210697 0.0023097724 0.0020093143 0.001502291 0.005333133 0.0013520619 0.0027229025 0.0033238188 0.0091451965 0.0026290093 0.0019529783 0.0050514536 0.0056711487 0.0031923684 0.0010328251 0.005971607 0.0028543528 0.0058213775 0.006309622 0.0030796966 0.0009952678 0.006816645 0.005032675 0.0107789375 0.008694509 0.0012769473 0.0015586269 0.0015398483 0.0019905355 0.0010328251 0.0009389319 0.0017651919 0.0015398483 0.0012018328 0.0010140464 0.0025351162 0.0024975587 0.0010891609 0.0037369488 0.0020468715 0.008506723 0.0009201532 0.00076992414 0.0021595433 0.0043190867 0.001971757 0.010628709 0.0015210697 0.0076992414 0.0012581687 0.0009577105 0.0012018328 0.00054458046 0.00063847366 0.0007511455 0.0010703823 0.0013520619 0.0010891609 0.0010328251 0.0012581687 0.0010516037 0.0007135882 0.0007135882 0.00078870275 0.0013145047 0.00061969506 0.00073236687 0.0011454968 0.00088259595 0.00076992414 0.0007511455 0.0012957259 0.0010516037 0.0007511455 0.0006009164 0.0009201532 0.0011267182 0.00086381735 0.0008074814 0.0010891609 0.0011079396 0.0008450387 0.0009577105 0.00086381735 0.00067603093 0.00088259595 0.00076992414 0.0010516037 0.0011454968 0.0008262601 0.0009201532 0.0011267182 0.0010703823 0.00097648916 0.0008074814 0.0008074814 0.00097648916 0.0011830542 0.00088259595 0.0046946593 0.0014083978 0.0019529783 0.0015586269 0.0014647337 0.00067603093 0.0014647337 0.0020093143 0.0008450387 0.0018778638 0.00086381735 0.00061969506 0.0015586269 0.00076992414 0.0011642756 0.00097648916 0.0013708406 0.0012769473 0.00097648916 0.0012957259 0.00097648916 0.0008074814 0.0020093143 0.0011267182 0.0012018328 0.0007511455 0.0009201532 0.0011267182 0.0012581687 0.0009013746 0.0009013746 0.00097648916 0.0014835123 0.00078870275 0.0008450387 0.0006948096 0.0012957259 0.0006948096 0.0009389319 0.0011079396 0.0049387817 0.0013332833 0.00088259595 0.0025538947 0.0030609178 0.0009201532 0.0009201532 0.0009013746 0.0029294675 0.0010328251 0.0006948096 0.0011642756 0.001859085 0.0009013746 0.0013332833 0.0012393901 0.0031923684 0.0013520619 0.0008074814 0.0012769473 0.0042627505 0.0022346578 0.003830842 0.025614062 0.19600184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.659314e-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 0.017807905 1.9148285e-05 0.0003159467 0.0 8.616728e-05 5.7444853e-05 0.00085209863 0.00046913297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.035137102 0.00021063113 0.0002489277 0.000134038 0.00071806065 0.00028722428 0.0012925091 0.00062231923 7.659314e-05 3.829657e-05 1.9148285e-05 5.7444853e-05 3.829657e-05 2.8722427e-05 2.8722427e-05 0.00027765014 0.016467525 7.659314e-05 0.00032552084 0.000114889706 0.00035424327 0.00023935355 0.0010818781 0.0005170037 8.616728e-05 2.8722427e-05 2.8722427e-05 1.9148285e-05 3.829657e-05 9.5741425e-06 2.8722427e-05 0.00019148285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013001685 3.829657e-05 0.0010818781 1.9148285e-05 0.00021063113 0.00015318628 0.0032552083 0.0018286612 9.5741425e-06 0.0 9.5741425e-06 0.0 0.0 0.0 0.0 0.0 0.03499349 0.00022977941 0.0028722426 0.0016467525 0.003293505 0.0012542126 0.0087794885 0.0048732385 0.00016276042 5.7444853e-05 9.574142e-05 9.574142e-05 0.000105315565 5.7444853e-05 6.7019e-05 0.00023935355 0.046329275 0.0006127451 0.0019244025 0.0014935662 0.0039828434 0.0020392924 0.010397518 0.006242341 0.0018382353 0.00027765014 0.000105315565 0.00028722428 0.00060317095 0.000536152 0.0005648744 0.0011967678 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009353937 0.00048828125 0.0014169731 0.0011776194 0.0062806373 0.0019244025 0.009631587 0.0053327973 0.0010818781 0.00032552084 0.00037339155 0.000268076 0.0004978554 0.00022020527 0.00030637256 0.000536152 0.032848883 0.0026041667 0.00323606 0.0021158855 0.0030637255 0.003638174 0.0044806986 0.0040690103 0.008205039 0.0013116575 0.001282935 0.0014648438 0.002824372 0.0012446385 0.0022403493 0.0038009344 0.04597503 0.013020833 0.0036956188 0.0057827816 0.013595282 0.017290901 0.007946538 0.010206035 0.024452358 0.0018765319 0.0021637562 0.0025467218 0.007678462 0.0044328277 0.0072859223 0.028128829 0.024691712 0.0074391086 0.0043945312 0.0045477175 0.008310355 0.008291207 0.008300781 0.007831648 0.009602864 0.0029871324 0.0031307444 0.0026328892 0.0048732385 0.0034658394 0.004988128 0.01215916 0.016036687 0.007525276 0.00825291 0.008406097 0.0075061275 0.008348652 0.0087603405 0.008080576 0.008071002 0.008233762 0.008032706 0.007831648 0.007688036 0.008214614 0.008291207 0.007975261 282.0 12.549645 3539.0 0.021474993 0.0016953942 0.002825657 0.0014128285 0.0016953942 0.0039559198 0.0008476971 0.00056513137 0.0011302627 0.0008476971 0.0 0.00056513137 0.0019779599 0.0050861826 0.014975982 0.0042384854 0.0033907883 0.0042384854 0.008194406 0.0067815767 0.0036733542 0.0011302627 0.0042384854 0.004521051 0.0031082227 0.0022605255 0.0025430913 0.0016953942 0.0014128285 0.00028256568 0.0008476971 0.0014128285 0.0031082227 0.027408872 0.0070641423 0.013280588 0.012998022 0.011867759 0.011302628 0.0073467083 0.0036733542 0.0067815767 0.0008476971 0.002825657 0.0059338794 0.013845719 0.0062164455 0.005368748 0.014975982 0.0031082227 0.010172365 0.023735518 0.0073467083 0.004521051 0.007629274 0.009889799 0.0014128285 0.0022605255 0.0014128285 0.0022605255 0.007629274 0.0016953942 0.0019779599 0.0016953942 0.0014128285 0.043232553 0.005651314 0.016953941 0.03136479 0.08335688 0.007629274 0.011302628 0.011302628 0.046058208 0.0033907883 0.0042384854 0.0486013 0.015823679 0.042949986 0.046058208 0.016388811 0.0011302627 0.050861824 0.04210229 0.055948008 0.022887822 0.004803617 0.008194406 0.007629274 0.008194406 0.0019779599 0.0019779599 0.0011302627 0.0016953942 0.00056513137 0.00056513137 5.5710597 0.0 0.0 0.0 3.0 53252.0 53248.0 1.0 0.0 79.0 0.0 1.0 0.0 0.0 0.0 995571000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 5.0 0.0 6.0 20.0 5.0 0.0 4.0 0.0 36864.0 4096.0 4096.0 4.0 0.0 0.0 2.0 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 -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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 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 0.0 0.0 0.0 0.0 0.0 -6.0379243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.21634915 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.480871 0.0 3.4785535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15618.0 0.0 4488.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 17816.0 4488.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 336.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.2596279 0.02336238 0.014811198 0.012833033 0.010867388 0.0056465343 0.015424679 0.005408654 0.008551182 0.0081380205 0.0127453925 0.0048828125 0.008663862 0.002328726 0.010066106 0.003092448 0.0044195713 0.0106921075 0.010904948 0.0044571315 0.0048702923 0.004256811 0.009477665 0.004356971 0.0028044872 0.0018028846 0.0014648438 0.001565004 0.002391326 0.0032552083 0.0021409255 0.003505609 0.01996945 0.0013146034 0.0012645232 0.0013396434 0.0016651643 0.0024914865 0.0058718952 0.0012144431 0.011418269 0.0013146034 0.0045572915 0.0047951723 0.0020532853 0.004682492 0.0063476562 0.001539964 0.006184896 0.0036182893 0.0032051282 0.0026792868 0.002328726 0.004231771 0.0020783253 0.0014898839 0.0114433095 0.0032426883 0.0027919672 0.00061348156 0.001965645 0.0017277644 0.0019280849 0.0006510417 0.0010141226 0.0028545673 0.0020282452 0.004356971 0.0029296875 0.0022536058 0.0025040065 0.002391326 0.0019155649 0.0033553685 0.001151843 0.0016150841 0.0014648438 0.0030298478 0.0015024039 0.001965645 0.003493089 0.0009890825 0.0020157252 0.004707532 0.003167568 0.0019280849 0.0021659655 0.0017152444 0.0039688502 0.0025415665 0.0014523237 0.00047576122 0.0006260016 0.0009765625 0.0006635617 0.0053710938 0.0013396434 0.01166867 0.005083133 0.0060096155 0.0072616185 0.024939904 0.002766927 0.005483774 0.0026417268 0.014911358 0.0015149239 0.0019155649 0.01185647 0.006635617 0.012282152 0.018354367 0.0056465343 0.0012019231 0.012232072 0.013621795 0.016351162 0.0064478167 0.0026166867 0.0024288862 0.0013271234 0.0045447717 0.0010391626 0.0020908453 0.00043820112 0.0014398036 0.0016276041 0.0004632412 0.0040564905 0.0040439703 0.0015149239 0.0013396434 0.00048828125 0.00061348156 0.001176883 0.00037560097 0.00045072116 0.00067608175 0.00033804087 0.000388121 0.0005133213 0.0012394831 0.000776242 0.00060096156 0.0005008013 0.0017277644 0.00043820112 0.0007386819 0.000388121 0.00067608175 0.0005008013 0.00033804087 0.00036308094 0.00067608175 0.0032301683 0.00036308094 0.0040564905 0.0008388421 0.00040064103 0.00033804087 0.00056340144 0.0005008013 0.0005133213 0.00048828125 0.0003130008 0.0005133213 0.0004632412 0.0006385216 0.0005133213 0.0010016026 0.0005759215 0.00033804087 0.0005884415 0.00067608175 0.00033804087 0.0005133213 0.000788762 0.0007011218 0.0004632412 0.0002629207 0.00036308094 0.00040064103 0.000388121 0.00048828125 0.00040064103 0.00060096156 0.00041316106 0.0004256811 0.0009390024 0.0005258414 0.00040064103 0.00028796075 0.000388121 0.00087640225 0.00021284055 0.00037560097 0.0005008013 0.00045072116 0.0007136418 0.0003130008 0.00055088144 0.0003505609 0.0005759215 0.00022536058 0.000388121 0.00030048078 0.00033804087 0.000388121 0.0005008013 0.00076372194 0.0005258414 0.0005383614 0.0005133213 0.0004256811 0.0005008013 0.0010266426 0.000788762 0.0020157252 0.000388121 0.00047576122 0.00067608175 0.001151843 0.00043820112 0.00045072116 0.0008513622 0.00056340144 0.0005884415 0.00056340144 0.00048828125 0.0006385216 0.0011393229 0.0005258414 0.0005383614 0.00080128206 0.0005133213 0.00043820112 0.0005884415 0.0010141226 0.00045072116 0.0005008013 0.0007136418 0.0007011218 0.00055088144 0.00036308094 0.0009014423 0.0010516827 0.00060096156 0.00088892225 0.00055088144 0.0034555288 0.00036308094 0.00022536058 0.00068860175 0.00055088144 0.011067708 0.016826924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011211445 1.268263e-05 0.00010146104 0.00012048498 0.00013950893 0.00010146104 0.00078632304 0.0003868202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001268263 0.011046571 5.7071833e-05 0.00021560471 0.000114143666 0.0001268263 8.2437095e-05 0.00079266436 0.00039950284 2.536526e-05 0.0 6.341315e-06 1.268263e-05 3.1706575e-05 6.341315e-06 0.0 6.975447e-05 0.010139762 5.073052e-05 0.00014585024 0.0002092634 0.00022828733 0.00028535916 0.0013253348 0.00039950284 6.975447e-05 1.268263e-05 2.536526e-05 3.1706575e-05 0.0 1.268263e-05 6.341315e-06 4.4389206e-05 0.009626116 0.0005136465 0.0009765625 0.00029170047 0.00019658076 8.877841e-05 0.0004185268 0.00032340706 9.511972e-05 6.975447e-05 2.536526e-05 6.341315e-05 4.4389206e-05 5.073052e-05 1.9023944e-05 0.00018389813 0.00095119723 0.0 0.00019658076 0.0001268263 0.001369724 0.000703886 0.006487165 0.0031516335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026145242 0.0022511669 0.0030755377 0.003221388 0.007952009 0.0061510755 0.035308443 0.017108867 0.0005453531 0.0003804789 0.0002536526 0.00017755682 0.00023462865 0.00027901787 0.00022828733 0.00058340095 0.08510045 0.017159598 0.015301593 0.013183594 0.0109768165 0.011312906 0.042937044 0.02454723 0.0016614245 0.0021306819 0.0018072748 0.0010526583 0.0009131493 0.0013189935 0.0008877841 0.0034750407 0.13736556 0.028028611 0.026468648 0.018212257 0.008078835 0.009765625 0.02806666 0.017184963 0.008598823 0.0067091114 0.0032911424 0.0030755377 0.0023018974 0.0032277294 0.004610136 0.019689783 0.09346464 0.020748783 0.022651177 0.010894379 0.0056818184 0.0061700996 0.01229581 0.0069373986 0.0060305903 0.005415483 0.0022638494 0.0024667715 0.0024350649 0.0052696327 0.0034369926 0.014616731 0.010380733 0.0028282264 0.0014267958 0.0021687297 0.0006024249 0.0005390118 0.0019404424 0.000906808 0.00095753855 0.00052632915 0.00049462257 0.0005516944 0.00052632915 0.0008180296 0.000703886 0.0006024249 0.0043818485 0.0016170354 0.002010197 0.0022131188 0.0012999696 0.0014838676 0.005776938 0.0029931006 0.0008180296 0.00051998784 0.0004692573 0.00049462257 0.00051998784 0.000342431 0.00043120942 0.0006024249 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1082.0 17.268023 18684.0 0.005512738 0.00016056519 0.00016056519 0.00048169558 0.001177478 0.0003746521 5.352173e-05 0.00010704346 0.0014450867 0.00021408692 5.352173e-05 0.00026760864 0.0046563903 0.0017126953 0.019267824 0.0022479126 0.012952259 0.006154999 0.0052986513 0.0066902163 0.0063155643 0.005512738 0.00588739 0.0039070863 0.0037465212 0.0043887817 0.0009098694 0.00010704346 0.004495825 0.0043887817 0.004549347 0.00010704346 0.00010704346 0.008509955 0.0046563903 0.015039606 0.008777563 0.0059944335 0.0058338684 0.006904303 0.004816956 0.00899165 0.002354956 0.0040676515 0.0028366516 0.009847999 0.0040141298 0.004977521 0.010757867 0.0016591736 0.0063155643 0.016538214 0.010062085 0.0039070863 0.005352173 0.005512738 0.0031577821 0.0015521302 0.0016056519 0.00016056519 0.0 0.00032113038 0.00010704346 0.01980304 0.0012845215 0.042603295 0.017126953 0.020552345 0.02381717 0.09200385 0.00867052 0.018732606 0.007974737 0.054056946 0.0032648256 0.0060479552 0.044744167 0.025262257 0.048008993 0.05453864 0.016645258 0.0018732606 0.045386426 0.04265682 0.06433312 0.023603084 0.008188825 0.008188825 0.0035859558 0.015414258 0.0028901733 0.00021408692 0.00010704346 0.00032113038 0.0 5.352173e-05 5.432873 0.0 7.0 0.0 1.0 79872.0 114688.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540201600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 76288.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -76288.0 512.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1215024 6.828092 3.4622917 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 -76100.0 488.0 1100.0 0.0 0.0 0.0 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 75.0 84208.0 1100.0 98304.0 0.0 0.0 0.0 0.0 12.0 106496.0 28.0 84110.0 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