Input: 0.66473436 0.0113809705 0.004637209 0.004439123 0.003633098 0.001522555 0.0030776018 0.0025523175 0.0034344418 0.004740385 0.0027512587 0.00092117145 0.0026996708 0.002596495 0.011471321 0.0017237762 0.0033093197 0.00084336207 0.0008869695 0.0007712531 0.00116372 0.0009020754 0.0008861145 0.001146334 0.0026480828 0.0010688097 0.0017582632 0.0010847705 0.0014074086 0.0009875802 0.0016448268 0.0009904304 0.0073753567 0.0024497118 0.0015718627 0.0007182401 0.0014447457 0.0010462934 0.0010497136 0.00065069133 0.0015168547 0.0007484518 0.0005344048 0.0005660416 0.0010186469 0.0011326532 0.0011668551 0.0011850962 0.0020347286 0.0012238583 0.0019660399 0.0009231666 0.0009633538 0.0007039893 0.001002401 0.0008920998 0.0012566352 0.0008037449 0.0019010562 0.0005646165 0.0017565531 0.0019814307 0.00143306 0.00056062633 0.003884482 0.0016716183 0.00082084583 0.0017331818 0.0021914875 0.0015561869 0.0008576129 0.0006065139 0.0013401448 0.0013153484 0.00043464926 0.00051160355 0.000895235 0.00084279204 0.0009114809 0.0006532565 0.0019631896 0.0021199484 0.0023040688 0.0016567975 0.0009961306 0.0006541115 0.00070113916 0.0008120103 0.0005458055 0.0005406752 0.00071738503 0.00054409535 0.0009921404 0.00055093574 0.0005580612 0.001218728 0.0018172615 0.004120475 0.0014062686 0.003328986 0.0034062252 0.0070820753 0.0028487341 0.0012067574 0.0016448268 0.00403326 0.0018585888 0.00090749067 0.0031619666 0.0021934826 0.0036120068 0.0036459237 0.0033361113 0.0009619287 0.004283504 0.0057023135 0.0072034923 0.0017693788 0.001057124 0.001038598 0.0017662436 0.00096819905 0.0013863174 0.00040757275 0.002308629 0.0010491436 0.001773084 0.0006515464 0.0050225505 0.0008903897 0.0008704386 0.0021170983 0.00064356596 0.00057345204 0.00071538996 0.00093542226 0.0015852585 0.0008573279 0.0012141678 0.0015701527 0.00045973068 0.00074816676 0.00041640826 0.000823411 0.0013030928 0.0012854218 0.00050162803 0.00044205968 0.000572882 0.0002778905 0.00041327308 0.00041270306 0.000573737 0.0014210894 0.00051274366 0.0003474344 0.00051530875 0.0004169783 0.0003673855 0.00068289816 0.0009396975 0.00057402207 0.0014433207 0.00043635938 0.00071710005 0.00037935618 0.0005264244 0.00042524375 0.001449876 0.00047227138 0.00037280083 0.0005232892 0.00039674217 0.00038420144 0.0003850565 0.00047198636 0.0005600563 0.0005383951 0.00035969008 0.0004155532 0.00042210857 0.00041127796 0.00037821612 0.00044433982 0.00073819124 0.0003648204 0.00043806946 0.00033631877 0.0005765872 0.00036282526 0.00048737723 0.0004155532 0.0018833851 0.00070883456 0.00071738503 0.00069287367 0.0006432809 0.00058485265 0.0006432809 0.00052756444 0.0006179145 0.00049307756 0.00043208414 0.0004101379 0.0013019528 0.00033261356 0.0004759766 0.00042866395 0.0008285413 0.0004973528 0.00072451046 0.00047227138 0.0012566352 0.00039503205 0.00044319974 0.00054409535 0.0005306996 0.00040785776 0.00033261356 0.00053041463 0.00062104966 0.0003440142 0.0005147387 0.0004973528 0.0014071235 0.0005398201 0.00048395703 0.00038163632 0.000519584 0.00042210857 0.00033232855 0.00043179913 0.0012264235 0.00063245033 0.0013589559 0.0013740617 0.00041412812 0.00040215746 0.0003545598 0.0005164488 0.0010693797 0.00033546373 0.0003779311 0.0007008541 0.00060366374 0.0011315132 0.00045545545 0.00042467372 0.0007319209 0.0003508546 0.0003705207 0.00036396532 0.00053326477 0.00034486924 0.00051530875 0.0034247513 0.48369655 9.19537e-05 6.6292196e-05 0.0001053547 0.00011134238 7.2707575e-05 0.00013215671 9.409215e-05 7.1424496e-05 4.2911724e-05 3.834968e-05 2.7087135e-05 2.7372264e-05 5.4031705e-05 2.5091242e-05 0.00030679745 0.023729471 9.86542e-05 0.000114051094 8.48255e-05 0.000100792655 9.409215e-05 0.00015154539 0.00011134238 5.203581e-05 4.4907618e-05 4.1913776e-05 2.1669708e-05 2.4378422e-05 3.3930202e-05 4.7046076e-05 6.6862456e-05 0.02134338 0.00012930542 0.00013600593 9.451985e-05 0.00021655452 0.00013557824 0.00030209284 0.0001783474 0.000119468525 4.1771214e-05 7.256501e-05 2.7087135e-05 5.8736314e-05 4.462249e-05 6.344092e-05 0.00010221829 0.019886091 0.00021042427 0.00021028171 0.00017392793 0.00027728672 0.00023038322 0.00045905565 0.00032133897 0.00015140283 0.00017806227 4.2911724e-05 2.9225594e-05 5.4031705e-05 5.8166057e-05 8.5253196e-05 0.00011390853 0.013755275 0.00017906023 0.00027785698 0.00018333714 0.00020187044 0.0001850479 0.0005889313 0.00038848654 0.00014227875 0.00010521214 5.1465555e-05 2.9225594e-05 4.889941e-05 3.692404e-05 6.287067e-05 0.000113623406 0.008431084 0.00014014028 0.00022453809 0.00015682026 0.00017649407 0.00015325616 0.00064923585 0.0003645358 0.00012859261 6.2015286e-05 4.4337365e-05 2.1242016e-05 5.887888e-05 3.6638914e-05 7.071168e-05 8.439781e-05 0.014138915 0.00043239622 0.0006010493 0.00029382412 0.0004261234 0.00028398723 0.001305885 0.00079835765 0.00026887545 0.00016466127 7.227988e-05 3.3359946e-05 5.2178377e-05 4.889941e-05 0.00013315465 0.00021612682 0.017345319 0.0010033645 0.0006955691 0.0003598312 0.0007866674 0.0006024749 0.0018953866 0.0012046647 0.00057866675 0.00027472057 9.1526e-05 3.7066606e-05 9.0528054e-05 5.5742472e-05 0.00019545507 0.00047644845 0.03657904 0.0026947423 0.002389513 0.0018443487 0.0018858348 0.0015466755 0.007091412 0.0050749886 0.0012337477 0.0008667883 0.00026046418 0.00014869412 0.000188612 0.0001609546 0.0003073677 0.00079251255 0.03507456 0.002008012 0.007242102 0.0047030393 0.0022805943 0.0029934135 0.020103073 0.0143727185 0.0011650319 0.0007474624 0.0002798529 0.000123888 0.00016166743 0.00015083257 0.00020928375 0.00035526915 0.0095775835 0.0008170335 0.0016035584 0.000950901 0.0016393419 0.0013486542 0.004158588 0.0029641879 0.0005656934 0.00029211337 0.00017806227 0.00010136291 0.00018804174 0.00017250227 0.0002564724 0.00029539232 0.0022071737 0.00022753193 0.00020015967 0.000120751596 0.00024064782 0.000247776 0.00021983348 0.00020372377 0.00029767337 7.798243e-05 9.737112e-05 6.8858346e-05 0.00019631044 9.0100366e-05 0.000247776 0.00021983348 0.01235045 0.002257499 0.0014102418 0.0019636748 0.0015540888 0.0007879505 0.001504619 0.000997662 0.002486599 0.00071567064 0.0009855441 0.00057510263 0.0012817917 0.0008511063 0.0011818545 0.0006289918 0.013417684 0.0034521841 0.0021873575 0.0021649748 0.0031590727 0.0028320313 0.0018008668 0.0022268477 0.0042274464 0.00082159555 0.0014681227 0.0007493157 0.0023088218 0.0012045221 0.0017629449 0.0020556285 0.009651574 0.002941663 0.0022603502 0.0020600478 0.0026806283 0.0010911839 0.0013556398 0.0016142507 0.0034749943 0.0009836907 0.0016156763 0.0006297046 0.0014684078 0.0011385151 0.0014086736 0.00095346716 0.0050456203 0.004821225 0.004562899 0.0047144447 0.004494326 0.004275348 0.0045687445 0.0047589247 0.0044862 0.0046307594 0.0045611886 0.004628621 0.004689068 0.0048063984 0.0047438126 0.004956946 16310.0 17.093563 278796.0 0.05415429 0.0016929941 0.012891146 0.0006958493 0.0022668906 0.0032999038 0.00076758635 0.0014347408 0.004533781 0.0024605806 0.0010043186 0.00045194334 0.0030201294 0.007589779 0.0075323894 0.008149328 0.006667958 0.0037016312 0.0024103646 0.002862308 0.0035222888 0.001068882 0.002812092 0.0008106286 0.0021664586 0.0016929941 0.015495201 0.0005846569 0.014899784 0.00844345 0.0123674655 0.0008608445 0.0019297265 0.0064025307 0.00090029987 0.0063845967 0.0066213286 0.0056672264 0.003909669 0.0021808061 0.0032676223 0.008360952 0.00065639394 0.0016786468 0.004605518 0.0048135556 0.005408973 0.004031622 0.008558229 0.00078910746 0.0074319574 0.01204465 0.0063774227 0.0018292945 0.0019942897 0.0019512475 0.0012338771 0.000606178 0.00057030946 0.0013235484 0.004820729 0.000896713 0.0005523752 0.008464971 0.004870945 0.045344982 0.009390378 0.03383836 0.022525432 0.082533464 0.027030516 0.009232557 0.012962883 0.043271784 0.0022238484 0.005330062 0.03191581 0.020775046 0.035029195 0.038515616 0.021528285 0.0011334453 0.04516564 0.05781288 0.058871 0.014218281 0.009526679 0.0089456085 0.013651559 0.0069871875 0.0015710412 0.0012912668 0.0027224207 0.0013630037 0.011477927 0.0003658589 5.5330987 300.0 70.0 0.0 20.0 3508576.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.24336542 0.003443138 0.003231717 0.0031310406 0.0029296875 0.0033021907 0.00309077 0.0028189432 0.0030202963 0.0029699581 0.0028894169 0.0030102287 0.003030364 0.0030001611 0.0026679286 0.003412935 0.003030364 0.003231717 0.0030202963 0.0030404318 0.0032820555 0.0029095523 0.002798808 0.002829011 0.0026175901 0.0029598905 0.002829011 0.0029296875 0.0030202963 0.00309077 0.0028088756 0.0027585374 0.0029699581 0.003322326 0.0027786726 0.0026175901 0.0031008376 0.0032820555 0.0026477932 0.002597455 0.002537049 0.0035337468 0.0028894169 0.0029498227 0.002738402 0.0032115818 0.0030504994 0.0028894169 0.0027786726 0.0031411082 0.002627658 0.0026679286 0.002768605 0.0031813788 0.0028390787 0.0026679286 0.002798808 0.0031813788 0.0024363725 0.003231717 0.0028592139 0.003382732 0.0028793493 0.0025773195 0.0027585374 0.0028592139 0.0026679286 0.00291962 0.0030202963 0.0032115818 0.0024565076 0.0030001611 0.0025169137 0.0032820555 0.0027887404 0.0028592139 0.0027484698 0.0034330701 0.0030504994 0.0028491463 0.00291962 0.003231717 0.0030807024 0.0029598905 0.002627658 0.0033625967 0.0027585374 0.002798808 0.0026578608 0.0031310406 0.0029095523 0.0029699581 0.0030706346 0.00326192 0.0025169137 0.0028189432 0.0024967783 0.003292123 0.002939755 0.0031008376 0.002829011 0.0033726643 0.0029800257 0.002627658 0.0025773195 0.0035941526 0.0026578608 0.0027081992 0.0029095523 0.0031813788 0.0028592139 0.0027283344 0.0024967783 0.00326192 0.0029498227 0.0029095523 0.0026779962 0.0034632732 0.002829011 0.002798808 0.002798808 0.003120973 0.0029498227 0.0032719877 0.002627658 0.0031310406 0.0029800257 0.0028994845 0.0031109052 0.0037955057 0.0026578608 0.0030001611 0.0030001611 0.0035236792 0.0029498227 0.0032216494 0.0026679286 0.0036746939 0.0031813788 0.0033625967 0.0026981314 0.0040471973 0.0027786726 0.0026578608 0.0028692817 0.0032216494 0.003030364 0.0026578608 0.0028088756 0.0032216494 0.0026880638 0.002738402 0.0029800257 0.00326192 0.0030102287 0.0026981314 0.0028692817 0.0030001611 0.0028994845 0.0029296875 0.0029800257 0.0034733408 0.002537049 0.0025873873 0.0031008376 0.0034632732 0.0026981314 0.002829011 0.0027585374 0.0029598905 0.0027484698 0.0027484698 0.002597455 0.003292123 0.002768605 0.0033927995 0.0026779962 0.0033021907 0.0029900933 0.0027887404 0.0026981314 0.00326192 0.002798808 0.0026981314 0.0029296875 0.0033122583 0.0027887404 0.0028491463 0.0028592139 0.0035236792 0.0028189432 0.00309077 0.0031813788 0.0035035438 0.003060567 0.0028088756 0.0028592139 0.0035941526 0.003231717 0.0031310406 0.003060567 0.0034934762 0.002738402 0.0025773195 0.0027585374 0.0033122583 0.0025873873 0.0030001611 0.003060567 0.0032518525 0.0030102287 0.0029498227 0.002627658 0.0034834086 0.0030706346 0.0030102287 0.0029900933 0.0031612436 0.0028793493 0.0031109052 0.0029498227 0.0030807024 0.0026981314 0.0027585374 0.0028692817 0.0032115818 0.003030364 0.0028390787 0.002537049 0.0029296875 0.0029296875 0.0027484698 0.0025269813 0.0031511758 0.002738402 0.0030001611 0.0026477932 0.0032820555 0.0028793493 0.0031914464 0.0027786726 0.003231717 0.0028894169 0.0028088756 0.002829011 0.0031713112 0.003120973 0.0031612436 0.0028692817 0.0034934762 0.002597455 0.0027182668 0.0027283344 0.0031914464 0.0027786726 0.0034632732 0.21875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0078125 0.00014750163 0.00014750163 0.00015258789 0.00018819173 0.00020345052 0.00014241536 0.00015258789 0.00020853679 0.00017293294 0.0001373291 0.0002187093 0.00017801921 0.00016276042 0.00017801921 0.00021362305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004760742 0.00036112466 0.0002187093 0.0002187093 0.00030517578 0.00026957193 0.00044250488 0.00032043457 0.0008748372 0.00012715657 0.00016276042 0.0002593994 0.00076293945 0.00035603842 0.0003306071 0.0006459554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005009969 0.0007883708 0.00077819824 0.0009104411 0.00069681805 0.0009460449 0.00081380206 0.00093078613 0.0018971761 0.0006866455 0.00081888837 0.0010274252 0.0017344157 0.0010477701 0.0010782877 0.0016682943 0.04706319 0.04616801 0.046366375 0.04520162 0.045547485 0.04605611 0.04567973 0.046122234 0.047683716 0.046361286 0.04630534 0.046346027 0.046625774 0.046991985 0.045374554 0.0456899 348.0 5.715517 1989.0 0.0155857215 0.01256913 0.0115636 0.008547009 0.012066365 0.013071896 0.007038713 0.011060835 0.0060331826 0.013071896 0.011060835 0.01256913 0.0115636 0.0100553045 0.013071896 0.016088488 0.009552539 0.007541478 0.009552539 0.008547009 0.009049774 0.009049774 0.008044244 0.0115636 0.009552539 0.008547009 0.009049774 0.007541478 0.007541478 0.008044244 0.009552539 0.0115636 0.009049774 0.0115636 0.006535948 0.0115636 0.014580191 0.015082956 0.009049774 0.009049774 0.0050276523 0.013574661 0.009049774 0.0100553045 0.008547009 0.0115636 0.016088488 0.006535948 0.0100553045 0.0100553045 0.013574661 0.007541478 0.012066365 0.012066365 0.009552539 0.009552539 0.008547009 0.015082956 0.0060331826 0.0100553045 0.0060331826 0.008044244 0.008044244 0.0115636 0.0115636 0.013071896 0.009049774 0.01256913 0.011060835 0.017094018 0.0100553045 0.009049774 0.008547009 0.0115636 0.007038713 0.01055807 0.01256913 0.0115636 0.0115636 0.01256913 0.01055807 0.014077426 0.013071896 0.009049774 0.007541478 0.01055807 0.0055304174 0.0155857215 0.0060331826 0.0155857215 0.013574661 0.007541478 0.0060331826 0.011060835 0.013574661 0.007038713 6.5350213 0.0 0.0 0.0 1.0 99328.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 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 0.0 512.0 512.0 4096.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.98854 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.36888826 0.014066956 0.0050486885 0.0053441585 0.008170396 0.0041365842 0.0031859407 0.0020040595 0.012910768 0.0025564604 0.0044577476 0.0015544308 0.007104134 0.0020040595 0.001849901 0.0038796538 0.008697105 0.005434084 0.0029161635 0.0014259655 0.004342129 0.007605149 0.0012461139 0.0010148763 0.00292901 0.0011561882 0.0010791089 0.001271807 0.0017342822 0.0014901981 0.0008992575 0.0010919555 0.006770124 0.0005780941 0.00068086636 0.00070655945 0.004483441 0.0016957427 0.0011433417 0.0006937129 0.0011818813 0.0006423268 0.00062948023 0.0010277228 0.0010277228 0.002042599 0.0020554457 0.0011947278 0.0033272526 0.002132525 0.0010662625 0.0045219804 0.0012332674 0.0017085891 0.0016957427 0.0012332674 0.0022866833 0.0022481438 0.001104802 0.0040466585 0.001271807 0.002042599 0.0007579456 0.0009249505 0.013771486 0.007656535 0.0010662625 0.0019269803 0.0027748516 0.0075794556 0.0031088616 0.001464505 0.0015287377 0.0014773515 0.0005138614 0.00048816833 0.0016828962 0.00326302 0.0015158912 0.0012461139 0.009763367 0.0016700496 0.0012975001 0.0048559904 0.0015929703 0.00292901 0.0059864856 0.0052156933 0.0015287377 0.0015544308 0.00044962874 0.0014259655 0.0011176486 0.0013874258 0.0030703219 0.0022738366 0.0006680198 0.005087228 0.0010148763 0.0023637626 0.003455718 0.009673441 0.004290743 0.0017599753 0.006102104 0.0050743814 0.004920223 0.0010148763 0.004008119 0.0021710645 0.0042136637 0.004534827 0.0029803962 0.0003211634 0.005434084 0.004611906 0.014144035 0.013257625 0.0018884407 0.0012204208 0.0022224507 0.0011947278 0.000552401 0.00052670797 0.0013745793 0.0018884407 0.00079648517 0.0008093317 0.0038282676 0.001849901 0.000359703 0.0062819556 0.001464505 0.0072582923 0.00048816833 0.00044962874 0.0011690347 0.0055111637 0.0007579456 0.016559184 0.0006937129 0.0096862875 0.00044962874 0.00068086636 0.0014901981 0.00019269803 0.00012846536 0.00029547032 0.0006166337 0.00048816833 0.00038539607 0.0011690347 0.0006166337 0.0026335397 0.00020554457 0.0004367822 0.0005138614 0.0005138614 0.0003211634 0.0004367822 0.0005010149 0.0008093317 0.000359703 0.0007322525 0.00056524755 0.0010020297 0.00030831684 0.00038539607 0.0006551733 0.00034685645 0.0009249505 0.00041108913 0.00060378714 0.0002569307 0.0004367822 0.0003340099 0.0011433417 0.00029547032 0.0003211634 0.00026977723 0.00042393568 0.0010534159 0.00039824258 0.0005138614 0.0008992575 0.00070655945 0.0002569307 0.0006937129 0.00074509904 0.00053955446 0.00070655945 0.00059094065 0.0070142085 0.0013231931 0.002851931 0.0021710645 0.0019783664 0.00037254952 0.0014901981 0.0017599753 0.0013745793 0.00196552 0.00019269803 0.0003340099 0.0037254952 0.0002183911 0.0006166337 0.00052670797 0.0012075743 0.0013745793 0.0006680198 0.00056524755 0.0011304951 0.0001798515 0.000719406 0.00086071785 0.0014773515 0.0008093317 0.00034685645 0.0009506436 0.0010277228 0.00020554457 0.00059094065 0.000359703 0.0015415843 0.0006423268 0.00068086636 0.0003211634 0.0012204208 0.00060378714 0.000552401 0.0006423268 0.009429357 0.0017085891 0.00088641094 0.0033529457 0.004367822 0.0008992575 0.0008350248 0.00077079213 0.0030317823 0.0015158912 0.00046247526 0.00097633665 0.0017728219 0.00020554457 0.0013745793 0.0015158912 0.0037383419 0.0012075743 0.00052670797 0.0014002724 0.0037254952 0.0028005447 0.009095347 0.051270522 0.08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024427084 0.00010416667 0.0001953125 0.00029947917 0.0008203125 6.510417e-05 5.2083335e-05 0.00014322916 7.8125e-05 3.90625e-05 2.6041667e-05 3.90625e-05 3.90625e-05 5.2083335e-05 3.90625e-05 0.00024739583 0.034778647 0.0016601563 0.0007486979 0.00024088542 0.0004231771 0.00022786458 0.00069661456 0.00032552084 0.0003190104 7.161458e-05 5.859375e-05 6.510417e-05 3.2552085e-05 3.2552085e-05 0.0001953125 0.00012369792 0.010755208 0.0011393229 0.0001171875 0.0001171875 9.1145834e-05 0.0 6.510417e-06 2.6041667e-05 4.5572917e-05 0.0 6.510417e-06 6.510417e-06 2.6041667e-05 6.510417e-06 3.2552085e-05 0.00095703127 0.020091146 0.00014322916 0.00013020834 0.00014322916 0.0007486979 0.0006184896 0.0018294271 0.0010026041 6.510417e-05 9.765625e-05 9.765625e-05 9.765625e-05 9.765625e-05 8.4635416e-05 0.0011067708 0.0003125 0.009414063 6.510417e-05 0.000546875 0.00024739583 0.00046223958 0.00016276042 0.0007356771 0.00056640623 5.2083335e-05 6.510417e-06 1.3020834e-05 6.510417e-06 3.2552085e-05 1.953125e-05 3.90625e-05 0.0009635417 0.02653646 0.0015690104 0.0015494792 0.000859375 0.0008789062 0.00061197917 0.0024023438 0.0012695312 0.00047526043 0.0008854167 0.00033854166 0.00020182291 0.00017578126 0.00010416667 7.161458e-05 0.0020703124 0.015039062 0.0032096354 0.0010872396 0.00072265626 0.0006640625 8.4635416e-05 0.0035546876 0.001920573 3.90625e-05 1.3020834e-05 3.90625e-05 4.5572917e-05 5.2083335e-05 3.90625e-05 5.2083335e-05 0.00010416667 0.026529947 0.00059895834 0.0033984375 0.0016536459 0.0049023437 0.003046875 0.015169271 0.008190104 0.00020833334 0.00026041668 0.00020833334 0.00025390624 0.00028645832 0.00029947917 0.0012630208 0.00039713542 0.03203125 0.0039973957 0.0031184896 0.0042838543 0.003828125 0.0025716147 0.01140625 0.005638021 0.0010091146 0.0016731771 0.0005013021 0.0006705729 0.0011328125 0.0005859375 0.0007486979 0.0068033854 0.034505207 0.0033463542 0.003925781 0.004505208 0.0028776042 0.002454427 0.007050781 0.004140625 0.0015625 0.0018619791 0.0010742188 0.0009765625 0.0019921875 0.0011523437 0.0017382812 0.0068359375 0.027167968 0.0013606771 0.0018880208 0.0026432292 0.003704427 0.002252604 0.0029557291 0.0027799478 0.0029492187 0.0025195312 0.0013411458 0.00171875 0.0028320313 0.001516927 0.0022851562 0.006751302 0.07182943 0.018730469 0.006197917 0.010846354 0.021015625 0.023209635 0.010696614 0.019628907 0.03520182 0.002220052 0.0032877603 0.003951823 0.0140625 0.005520833 0.015553385 0.044713542 0.02826823 0.008867187 0.0038346355 0.005410156 0.011080729 0.011347656 0.004309896 0.008170573 0.016145833 0.00091145834 0.0016992188 0.0016210937 0.0075130207 0.0032096354 0.0055533852 0.015390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 382.0 14.560209 5562.0 0.0587918 0.0037756204 0.0044947863 0.0034160374 0.004135203 0.009169363 0.005573535 0.002876663 0.003236246 0.0035958288 0.0044947863 0.0035958288 0.0030564545 0.016900396 0.008809781 0.0035958288 0.011866235 0.020855807 0.0071916576 0.0071916576 0.0030564545 0.0039554117 0.0062927003 0.0035958288 0.012585401 0.0035958288 0.006112909 0.018158935 0.0071916576 0.0037756204 0.0025170802 0.0021574972 0.0030564545 0.015462064 0.0043149944 0.016001439 0.006472492 0.007910823 0.012944984 0.009349155 0.0039554117 0.008629989 0.0012585401 0.0021574972 0.006832075 0.012944984 0.0044947863 0.0037756204 0.014563107 0.0034160374 0.006472492 0.021035599 0.008450198 0.0059331176 0.010787486 0.021574972 0.0010787486 0.002876663 0.0012585401 0.0025170802 0.0023372888 0.0021574972 0.0012585401 0.0030564545 0.0012585401 0.033081625 0.0039554117 0.015282272 0.024631428 0.08288386 0.007731032 0.009528946 0.014203524 0.039194535 0.0025170802 0.0059331176 0.030384753 0.011506652 0.028047465 0.029665587 0.008450198 0.0008989572 0.03829558 0.029126214 0.052678894 0.013304567 0.0059331176 0.0052139517 0.006472492 0.0062927003 0.0021574972 0.0010787486 0.0005393743 0.0005393743 0.0003595829 0.0008989572 5.806965 0.0 0.0 0.0 1.0 77842.0 81920.0 1.0 0.0 193.0 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 61440.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.46609414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.158958 0.0 4.621533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57990.0 0.0 7320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 57484.0 7320.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 812.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.25615743 0.018576447 0.0096838605 0.006020267 0.0056312247 0.009124035 0.0055191275 0.0045920196 0.010924839 0.00364513 0.007041009 0.0055672633 0.0028123155 0.0033029045 0.004306502 0.0070851883 0.009685839 0.0033662063 0.002174022 0.0012660364 0.0019254305 0.006933528 0.000855234 0.00077742554 0.0026890086 0.0034334646 0.0008882037 0.0011486643 0.0007800631 0.00074313703 0.0006732413 0.0009528243 0.009668694 0.00071939884 0.001688708 0.00046816975 0.01415587 0.0006903855 0.0005499346 0.0007675346 0.003771074 0.0010965723 0.0006013673 0.0011354764 0.00065148127 0.0005050958 0.0012633989 0.000503777 0.0068003302 0.0011203104 0.0014045092 0.004777969 0.0018707007 0.00090336974 0.0010286546 0.0010451395 0.0040658233 0.0029910111 0.0006013673 0.0014981432 0.0008183079 0.00051037094 0.0008638061 0.002174022 0.015956676 0.0061633554 0.0026870305 0.0029151808 0.0060565337 0.0056892512 0.0012706522 0.0015818862 0.05800689 0.0061448924 0.00084995886 0.0009185358 0.0056325435 0.0033134548 0.0008763346 0.0009864534 0.005283724 0.00065016246 0.0014552826 0.0019293869 0.00252416 0.0025446014 0.002478662 0.0025050377 0.002454924 0.00050839275 0.0005677382 0.0012713117 0.0032006984 0.0015522134 0.0009930474 0.0040288973 0.003092558 0.0048716026 0.001611559 0.003112999 0.003173004 0.005271855 0.001648485 0.0008143516 0.0021647904 0.0030516754 0.0003956364 0.00085193705 0.0029791421 0.0016023275 0.004982381 0.004674444 0.004100112 0.00049190794 0.0034684124 0.003204655 0.01132707 0.0052777897 0.0007273116 0.001010851 0.0022498523 0.0016873892 0.00038904246 0.00062048977 0.0008558934 0.0006475249 0.00041937458 0.0008347928 0.011334983 0.0017098086 0.0004411346 0.010043889 0.0012792243 0.0071623377 0.00077017216 0.00084270554 0.0017994862 0.011813703 0.0016089213 0.03230635 0.0005387249 0.009232176 0.00034354426 0.00042201215 0.005574517 0.00039893336 0.00047542306 0.0015053964 0.00059015764 0.00052224007 0.00044575034 0.00048861094 0.0013794522 0.0003718982 0.00034618186 0.0003521164 0.00059609214 0.00038112974 0.0003507976 0.0003956364 0.0026065845 0.0007563249 0.00080709823 0.00080446067 0.0008664437 0.00082094554 0.00080775766 0.00091919524 0.0017223371 0.0008433649 0.0008130328 0.00078599766 0.00082688004 0.00077544735 0.0007879758 0.0009383176 0.0022505117 0.00041409943 0.0004826764 0.00035145698 0.0004391564 0.00040420852 0.0005782885 0.00071742065 0.0014803396 0.00078336004 0.0013873649 0.00043388124 0.00044509093 0.00037981092 0.00039761458 0.00068511034 0.006478546 0.0021845724 0.0013201068 0.0051254695 0.0042768293 0.00055257214 0.0010200825 0.0044291494 0.0029356221 0.0025755928 0.00069895765 0.0018482814 0.035565075 0.0004985019 0.0009917285 0.0015482571 0.0026184535 0.00062642427 0.0010411831 0.0005888388 0.00047806065 0.00047806065 0.0009007322 0.0009290861 0.0019860948 0.00090798555 0.00065016246 0.0014763832 0.0005459782 0.00040354911 0.00041409943 0.00048729216 0.0025333918 0.0004055273 0.00059741095 0.00048795156 0.00046751034 0.00033299398 0.00036860124 0.00056510064 0.007514454 0.005221741 0.0013326353 0.0011203104 0.0030800293 0.00045564125 0.0003389285 0.00048795156 0.0034934694 0.00064093096 0.00063961215 0.00066466915 0.00044706912 0.0005967516 0.001492868 0.0010820655 0.0031222305 0.0012851589 0.0011209698 0.00078336004 0.0007292898 0.0009956849 0.0027806645 0.031295497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0055687157 3.1012456e-05 6.829339e-05 0.00010326489 4.9158043e-05 1.45164695e-05 1.7815668e-05 1.6166068e-05 1.8145587e-05 4.420925e-05 1.8805427e-05 1.45164695e-05 1.6495987e-05 3.7940772e-05 4.387933e-05 1.8145587e-05 0.0017809069 4.9817885e-05 1.1547192e-05 7.5881544e-06 2.3424303e-05 1.1547192e-05 1.8145587e-05 1.8475506e-05 8.907834e-06 2.2764463e-05 8.907834e-06 2.804318e-05 5.608636e-06 6.928315e-06 1.6495987e-05 7.9180745e-06 0.015740473 0.00064037426 0.00020784946 0.00015704181 0.00026657517 9.270745e-05 0.00012174039 0.00013163798 0.000104914485 0.0001085436 9.270745e-05 0.00012339 0.00022731471 0.00021972656 0.00012668919 0.00055723445 0.04308554 0.001825446 0.0006024335 0.0003107844 0.0007221944 0.000505767 0.00070206926 0.0006941512 0.0005308409 0.0005493164 0.00036819046 0.00046287742 0.00077003276 0.00082216004 0.0004938899 0.0016083588 0.03487252 0.0035581847 0.0018696553 0.0004872915 0.00054205814 0.0002454603 0.00032134185 0.0005278716 0.00053018105 0.0011992584 0.00039524387 0.00036291173 0.0004724451 0.00035301415 0.0003088049 0.0012510557 0.021880938 0.0018363334 0.0009326832 0.0008030247 0.0006172799 0.00065851986 0.0015407254 0.0009782121 0.0011642869 0.00035862278 0.00024678 0.00027053422 0.00031408362 0.00026162638 0.00028439084 0.0009600665 0.0942363 0.004572688 0.0035067173 0.0032342034 0.003572701 0.0035971152 0.005372743 0.0038564322 0.009353885 0.0019059465 0.0017043655 0.0016822609 0.0027657175 0.0020791544 0.0018633868 0.0066963816 0.028970914 0.0021903373 0.0014054582 0.0024780273 0.004088036 0.0028029983 0.008263171 0.0042124153 0.0017921241 0.0006212389 0.00059352565 0.00061793975 0.0008911133 0.0007284628 0.0007264833 0.0031312685 0.013748086 0.0011332744 0.0027815534 0.0059807855 0.009518186 0.0049035973 0.019683342 0.008466401 0.0015974715 0.0006542309 0.00023193359 0.00018970386 0.0064367345 0.00017782675 0.0019917255 0.0022348764 0.0109378295 0.0030204155 0.0012685414 0.0011791332 0.002076845 0.0012362093 0.001648939 0.0013952306 0.0016568571 0.0010735589 0.007860999 0.0010531038 0.0032345334 0.0010597022 0.0015450142 0.0016449799 0.013416847 0.003264886 0.0024684598 0.0014371305 0.008602988 0.0021154454 0.0009264147 0.0015776763 0.007199509 0.00091585726 0.0007927972 0.0009481894 0.0075970623 0.0010983029 0.0023533176 0.0033932247 0.07532365 0.01612021 0.023058752 0.016224464 0.08896022 0.017705474 0.0055492506 0.015368982 0.06766456 0.0066627297 0.0033853068 0.005808567 0.04930387 0.0076386323 0.015500951 0.029643292 0.00032761032 5.608636e-05 6.0705235e-05 8.34697e-05 6.631387e-05 7.291227e-05 0.00013394743 7.984058e-05 7.918074e-05 6.136508e-05 6.136508e-05 6.7633555e-05 4.9158043e-05 5.2787163e-05 5.1467483e-05 4.7508445e-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 3303.0 33.889797 111938.0 0.0030016617 0.00017867034 2.680055e-05 3.573407e-05 0.030409692 3.573407e-05 3.573407e-05 5.36011e-05 0.0011256231 3.573407e-05 8.933517e-05 0.00062534615 8.040165e-05 0.0010809555 0.00828137 6.2534615e-05 0.011881577 0.0070128106 0.0065750685 0.012006647 0.0069234753 0.0064410656 0.005958656 0.0064767995 0.006226661 0.0067001376 6.2534615e-05 0.0019296396 0.003126731 4.4667584e-05 0.003126731 0.019537602 0.085368685 0.041567653 0.0010898891 0.014427629 0.008272436 0.013185871 0.0040022153 0.0008397506 0.014418696 0.006414265 0.0004198753 0.00040200824 0.00469903 0.0019117725 0.0022512462 0.0008665511 0.016768211 0.00046454289 0.0010898891 0.009943004 0.009076453 0.010934625 0.025112115 0.01023781 0.0040915506 0.00067894725 0.0015276314 0.0017867034 0.0020457753 0.002849792 0.006414265 0.026541479 0.0008665511 0.04940235 0.012944666 0.031249441 0.02375422 0.051072914 0.010487949 0.0026889886 0.0061105257 0.028480051 0.00037520772 0.005136772 0.028640855 0.01069342 0.051457055 0.04806232 0.0058693206 0.001107756 0.031142239 0.026032267 0.05939002 0.013864818 0.0016795011 0.0045114257 0.0014740303 0.011747574 0.00017867034 2.680055e-05 0.00039307473 0.00031267307 6.2534615e-05 0.0018939056 5.424197 1.0 0.0 0.0 2.0 1516544.0 1536000.0 1.0 2.0 253.0 1.0 1.0 0.0 1.0 0.0 1544155100.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1812.0 6002.0 14.0 16.0 6.0 2.0 6.0 2.0 770048.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 490496.0 0.0 0.0 0.0 0.0 50176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -182272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -770048.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.445531 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1575027 0.0 0.0 0.0 0.0 5.980245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2623467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.191617 0.0 3.291279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 490018.0 0.0 0.0 0.0 0.0 49800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -769596.0 0.0 1008.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 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 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 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 1250192.0 420.0 1250320.0 1008.0 1507328.0 49800.0 1454080.0 0.0 0.0 21292.0 1511424.0 112.0 925424.0 0.0 0.0 0.0 0.0 40.0 925792.0 256.0 925536.0 0.0 0.0 2184.0 774144.0 0.0 0.0 0.0 0.0


Input: 0.041618958 0.0054541524 0.0043536536 0.0039958255 0.0049247565 0.0032967573 0.0036768608 0.003471169 0.0050337636 0.002813334 0.0030133387 0.0027583565 0.004151753 0.002676838 0.0026991135 0.004654608 0.004231376 0.003088696 0.0030422492 0.003052202 0.0032190306 0.003010969 0.0028128603 0.00322377 0.0030953311 0.0029882197 0.002738925 0.0027147536 0.0026228086 0.0022550276 0.0024280173 0.003018552 0.0047294917 0.0029209196 0.0030711598 0.0028029073 0.0033071842 0.002899118 0.0028431925 0.0031280331 0.002549347 0.0027484037 0.0026166472 0.002754091 0.0028085946 0.002865468 0.0026417663 0.0027322897 0.0032697427 0.0028474582 0.003121398 0.004188247 0.0031062318 0.002722337 0.00291618 0.002993433 0.0028104906 0.002652193 0.003112867 0.0032967573 0.0032332488 0.0029213934 0.002823287 0.0028981701 0.005210545 0.007242345 0.0063920887 0.009191678 0.00772482 0.00968932 0.0062399525 0.0053588897 0.0059418413 0.006692095 0.00671911 0.006906792 0.004468822 0.004877362 0.0039707064 0.0039356346 0.006991628 0.005389696 0.010734841 0.0071698315 0.007498275 0.006526215 0.008486449 0.0080238795 0.0069755143 0.0072878436 0.0071788365 0.005929519 0.00440247 0.005911035 0.005229029 0.0052337684 0.0053550983 0.005705817 0.0073745754 0.008309668 0.010006389 0.009062291 0.00627455 0.0075177066 0.005907717 0.0056347256 0.007803969 0.007422444 0.009373199 0.007233814 0.005992553 0.007715815 0.003957436 0.0035095585 0.005449413 0.0070660375 0.007406804 0.0069034747 0.0043328 0.0063077263 0.003951275 0.003557901 0.0038408458 0.0038005605 0.0041384827 0.0038271013 0.0032190306 0.0038441634 0.0026147515 0.0023185362 0.0024152207 0.00655323 0.003547474 0.005047982 0.002413799 0.0026337092 0.0026744683 0.0042256885 0.0026019549 0.010214451 0.003053624 0.0037759154 0.0018806115 0.0023000524 0.002654089 0.0020000455 0.002686317 0.0030389316 0.002864994 0.0026649896 0.0019938843 0.0020915167 0.0025299154 0.0020834596 0.0026114339 0.0032446235 0.0026507713 0.00240432 0.0018588101 0.0023815709 0.002173983 0.0023152186 0.0028469842 0.0025635655 0.0025033746 0.0025915282 0.0024028982 0.002473516 0.0027337114 0.0025559822 0.0025223324 0.0030754255 0.0027057487 0.0035678537 0.0021270625 0.0021474422 0.0024365482 0.002378727 0.0023564517 0.0022744592 0.0026066944 0.0024886823 0.0024356004 0.0022365437 0.002267824 0.0021673478 0.0031664227 0.0026199648 0.003028505 0.0021673478 0.0026654634 0.0023848885 0.0045849383 0.0027512475 0.0027972201 0.0036811263 0.003717146 0.0017460113 0.002524228 0.0031195022 0.0031882243 0.0023327544 0.0026204388 0.001807624 0.005391118 0.0019180531 0.0025280195 0.0021692438 0.0022446008 0.0028578849 0.00267826 0.0025957937 0.0022370177 0.0019853532 0.0018137853 0.0024773076 0.0019995715 0.003137038 0.0020777723 0.00271191 0.0024062158 0.0024526624 0.0017701824 0.0027318157 0.0028958004 0.0026801557 0.0022621367 0.0019735047 0.002779684 0.0026829995 0.0026517191 0.003062629 0.005825725 0.0030052816 0.002328963 0.002873525 0.0036176178 0.0020531274 0.0027057487 0.003077795 0.0024607196 0.0016194681 0.001953599 0.0018896165 0.0021749309 0.0015649645 0.002354082 0.0020152116 0.0030972268 0.0018469614 0.0021536036 0.002191993 0.0032019685 0.0019431722 0.002822813 0.012358101 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00041690064 7.1143455e-07 4.980042e-06 3.7943175e-06 1.0197228e-05 5.9286212e-06 1.9445877e-05 9.722939e-06 4.980042e-06 7.1143455e-07 7.1143455e-07 2.1343037e-06 7.1143455e-07 4.742897e-07 9.485794e-07 3.3200279e-06 0.00038464894 1.3754401e-05 8.774359e-06 2.3714485e-06 1.5414415e-05 8.774359e-06 2.8457382e-05 1.5414415e-05 7.1143455e-07 4.742897e-07 0.0 2.3714485e-06 4.742897e-07 0.0 2.3714485e-07 3.7943175e-06 0.0011136322 2.7745948e-05 2.2765906e-05 8.774359e-06 2.4663064e-05 8.845503e-05 6.142052e-05 1.8971588e-05 1.2805822e-05 9.248649e-06 1.3517257e-05 8.774359e-06 9.248649e-06 1.0197228e-05 7.588635e-06 1.9208734e-05 0.0032356044 8.655787e-05 0.00011833528 7.1143455e-05 0.0001633928 0.00011288095 0.0003203827 0.00015864991 7.185489e-05 4.1737494e-05 2.8220238e-05 4.6717534e-05 7.61235e-05 3.272599e-05 2.6560223e-05 0.0002658394 0.0027089056 5.999765e-05 0.0004678868 0.00010695233 0.00024947638 0.00018189011 0.0014482436 0.00070194877 4.2923217e-05 1.9445877e-05 2.3714485e-05 2.5848789e-05 2.5611644e-05 2.1817326e-05 1.7548718e-05 0.0002115332 0.005006365 0.00014442121 0.00094834226 0.0003203827 0.0008705587 0.0005285959 0.0024307347 0.0013149682 0.0002326391 6.640056e-05 7.7309225e-05 0.00010173514 0.0001036323 8.2052116e-05 7.35149e-05 0.00032583703 0.0035654728 0.00014774124 0.0009412279 0.00029382246 0.00061871094 0.00036354305 0.0020662432 0.001144224 0.00021390466 7.659779e-05 0.00012046959 7.470063e-05 9.272364e-05 6.92463e-05 0.00011193237 0.00029856537 0.005044071 0.00038038034 0.00069507153 0.0031127634 0.0008719816 0.000694123 0.0014510894 0.0009450222 0.0007000516 0.00034433432 0.0002568279 0.0002971425 0.0005214815 0.00032512558 0.00042164355 0.0009374336 0.0071629602 0.0009801197 0.0007688236 0.0009559309 0.002744003 0.0030442285 0.0019962853 0.0014555951 0.0043921596 0.00048258976 0.00034433432 0.0005741277 0.0026266163 0.0005006128 0.0012834279 0.0032282528 0.026346318 0.006491129 0.005908227 0.006397931 0.016442202 0.02035604 0.016461885 0.012574369 0.015186519 0.0025969732 0.002318091 0.0036527421 0.010260547 0.0032313357 0.006308053 0.011567689 0.014214937 0.008492632 0.008157072 0.008321175 0.024270827 0.026633738 0.027581843 0.017470935 0.010419196 0.0064048083 0.0068873977 0.0065921526 0.0074579683 0.0063561937 0.008164898 0.008300307 0.029068267 0.030737767 0.029395528 0.029207708 0.05433866 0.057018872 0.06288939 0.03934423 0.02702479 0.029733695 0.03125759 0.028318178 0.025725473 0.027559077 0.030080164 0.02051042 46023.0 7.6591053 352495.0 0.012641314 0.00459581 0.0051802155 0.00459581 0.0049248924 0.006156116 0.004516376 0.005265323 0.003878069 0.0039773616 0.0042099888 0.0044312687 0.004731982 0.004800068 0.0045305607 0.004417084 0.005228443 0.005018511 0.005299366 0.005512135 0.005131988 0.0047007757 0.004731982 0.005506461 0.0045844624 0.0042582164 0.005676676 0.0050724125 0.005336246 0.004990142 0.0044085733 0.004553256 0.009730634 0.015750578 0.012278188 0.021546405 0.01607966 0.015631428 0.010227095 0.0103888 0.010340572 0.015149151 0.015089576 0.01593214 0.008323522 0.007897984 0.007705074 0.0076426617 0.012269678 0.009710776 0.025977673 0.014411552 0.016491015 0.011458319 0.016913716 0.016102357 0.015560504 0.015047022 0.015764762 0.011387396 0.008400119 0.008683811 0.008071036 0.008198698 0.010062554 0.013549129 0.016502362 0.019988935 0.024323748 0.024542192 0.012879616 0.017293863 0.011046966 0.01349239 0.01528816 0.016556263 0.02350388 0.017146343 0.015276812 0.020008795 0.008198698 0.007585923 0.013069689 0.017778976 0.013983177 0.010221422 0.009032752 0.01412786 0.007639825 0.0071093207 0.0075093266 0.007472446 0.007534859 0.0068029333 0.0062412233 0.007205776 6.390528 0.0 3.0 0.0 110.0 2109952.0 2134016.0 1.0 0.0 129.0 1.0 1.0 0.0 1.0 0.0 1544599600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 365568.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1665024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -365568.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.654184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.457921 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.833305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.467633 0.0 4.5351567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -12372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1667880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -365510.0 0.0 6280.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 80.0 428276.0 6280.0 2109440.0 0.0 0.0 0.0 0.0 12372.0 2117632.0 84.0 423776.0 0.0 0.0 0.0 0.0 24.0 423956.0 64.0 423864.0 0.0 0.0 528.0 372736.0 0.0 0.0 0.0 0.0


Input: 0.04371142 0.0044256365 0.004359568 0.0037721836 0.0044661458 0.0035802468 0.0033338156 0.0036005015 0.0069319056 0.004207658 0.0051610726 0.0041396604 0.0040051118 0.0029619986 0.004256848 0.0037639854 0.008591339 0.0063044946 0.004895351 0.0038194444 0.0061294367 0.004037905 0.0037856868 0.0039130016 0.0036902006 0.0032228974 0.0032310956 0.0028443288 0.00480951 0.003591821 0.004055748 0.003492477 0.005175058 0.0073939045 0.0057388116 0.0047207754 0.004969136 0.003986786 0.0032296488 0.003569155 0.004887153 0.0035681906 0.0037673612 0.0043118247 0.003687307 0.0033661264 0.0036058063 0.0038237846 0.004264082 0.0033945795 0.0041222996 0.0034076003 0.0035267167 0.0031375387 0.0031023342 0.003130787 0.0047882907 0.003374807 0.0051413 0.0033598572 0.00418451 0.003214699 0.0037572337 0.003323206 0.0046522957 0.0038859954 0.0085368445 0.004748264 0.0073148147 0.004395737 0.0040895063 0.004939236 0.004988426 0.0036255787 0.0040938463 0.0037466243 0.0040118634 0.0033675733 0.004193673 0.0034939237 0.00562934 0.0041377316 0.0041507524 0.0039337385 0.0041927085 0.0034905479 0.003728781 0.0039621913 0.0039438657 0.0037143133 0.0036897184 0.0029976852 0.0037509645 0.0031235532 0.0039081792 0.0038633295 0.0036805556 0.003837288 0.0038845486 0.0032648535 0.005182292 0.004000772 0.0032865547 0.00319348 0.0037610917 0.003502122 0.0033227238 0.0033892747 0.0035570988 0.0029865934 0.0036887538 0.003380112 0.0047439234 0.0039891973 0.003835841 0.0035291282 0.005135513 0.004474826 0.003536362 0.0035218943 0.0037885802 0.0039187884 0.0034418402 0.0033424962 0.00380353 0.0034196565 0.003685378 0.0032778743 0.0045023146 0.00319348 0.00315924 0.0030386767 0.0061159334 0.005354456 0.0030314429 0.003671875 0.006998457 0.0046527777 0.0037562693 0.0037577162 0.0032156636 0.0033781829 0.0039491705 0.003313561 0.0049440586 0.00409674 0.0033627509 0.0029856288 0.00354022 0.003831501 0.0031616513 0.0034587192 0.0033005401 0.0027604166 0.0027941745 0.0025834297 0.0033376736 0.003256655 0.0030642361 0.0031438079 0.0035831404 0.0039617093 0.0040866127 0.0026909723 0.0032706405 0.0033482832 0.0028954474 0.0029894868 0.0037162423 0.0029166667 0.003136574 0.0029161845 0.0037615742 0.002907986 0.0033526234 0.0034177275 0.0037553047 0.0030251737 0.0037413195 0.0026157408 0.0031524885 0.003084973 0.0027580054 0.0029325811 0.003978588 0.0028915894 0.0032113234 0.0032397762 0.003618345 0.003098476 0.0035407022 0.00336902 0.0039617093 0.0030406057 0.004022473 0.002780189 0.0048697917 0.0030748458 0.0030135994 0.0029812886 0.0048061344 0.0031737075 0.0034765624 0.0029697146 0.003256655 0.0024421297 0.0029031637 0.0029330633 0.003723476 0.003081115 0.0031963733 0.0028819444 0.0033873457 0.0028920718 0.003330922 0.0030193867 0.0032725695 0.0027772954 0.0029258295 0.0026538388 0.0034423226 0.002862172 0.0030058834 0.0028645834 0.0038898534 0.003271605 0.004571277 0.002595004 0.003986786 0.0031775655 0.0030555555 0.0029239005 0.0048635225 0.0033265818 0.003473669 0.003920235 0.0037297453 0.002707369 0.0032918595 0.0029446373 0.0038122106 0.0032966821 0.003990162 0.003115355 0.003393615 0.0034027777 0.0033159722 0.0031177662 0.0039515817 0.003429784 0.003637635 0.002964892 0.004127604 0.0031563465 0.0036646412 0.0034066357 0.031620555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004668104 1.2062284e-06 3.1361938e-06 1.6887197e-06 9.649827e-07 2.6537025e-06 1.2062284e-06 2.171211e-06 1.447474e-06 1.9299655e-06 2.171211e-06 1.9299655e-06 1.9299655e-06 1.9299655e-06 1.6887197e-06 1.2062284e-06 0.0013193726 1.2786021e-05 1.30272665e-05 1.49572315e-05 1.7610935e-05 6.754879e-06 1.6887197e-05 1.230353e-05 1.39922495e-05 9.1673355e-06 5.789896e-06 5.307405e-06 8.684844e-06 5.0661592e-06 1.01323185e-05 1.0373564e-05 0.0004151838 4.824914e-07 5.789896e-06 6.0311418e-06 1.0856055e-05 3.6186852e-06 3.739308e-05 1.30272665e-05 0.0 2.412457e-07 2.412457e-07 4.824914e-07 2.412457e-07 0.0 2.412457e-07 2.412457e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00035511365 1.8093426e-05 9.649827e-06 9.649827e-06 2.7019516e-05 7.2373705e-06 9.1673355e-06 9.649827e-06 5.307405e-06 6.9961247e-06 5.789896e-06 3.859931e-06 6.0311418e-06 4.8249135e-06 1.061481e-05 5.0661592e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005818846 3.618685e-05 2.9673218e-05 5.86227e-05 4.17355e-05 2.8225744e-05 5.524526e-05 2.5572042e-05 4.511294e-05 1.1821038e-05 1.0856055e-05 1.30272665e-05 1.2544775e-05 9.649827e-06 9.1673355e-06 1.8817163e-05 0.00055462384 5.1626575e-05 3.618685e-05 6.296512e-05 4.197675e-05 3.401564e-05 2.6295778e-05 2.2194603e-05 2.7984499e-05 1.6404707e-05 1.5198478e-05 1.4233495e-05 1.785218e-05 1.4715986e-05 1.9058409e-05 3.2809414e-05 0.00052905176 3.5463116e-05 3.0638203e-05 2.5330795e-05 3.2085674e-05 3.0638203e-05 3.0638203e-05 3.0638203e-05 2.6537024e-05 2.8949482e-05 3.6669342e-05 3.2809414e-05 2.7743254e-05 3.3291904e-05 2.8708235e-05 2.8949482e-05 0.00023642076 1.7610935e-05 1.6887197e-05 1.95409e-05 1.8575916e-05 1.8093426e-05 1.7610935e-05 1.785218e-05 1.6404707e-05 1.8817163e-05 1.8334671e-05 1.4474741e-05 1.4233495e-05 1.6404707e-05 1.5922215e-05 1.6887197e-05 0.00035824982 4.873163e-05 4.6801662e-05 4.75254e-05 6.1758896e-05 4.0046783e-05 5.138533e-05 4.4389206e-05 3.8358063e-05 3.4256886e-05 3.522187e-05 3.353315e-05 3.7634327e-05 2.8225744e-05 4.800789e-05 3.401564e-05 0.00022194603 0.0006889977 0.0011396445 0.00023786824 0.0011463994 0.00023304332 0.00023376706 0.00023497328 0.00069478754 0.0006851377 0.0002318371 0.00023617952 0.00023569702 0.0002265297 0.00023835072 0.0002318371 0.06963846 0.06953376 0.06849688 0.058766 0.072717234 0.061841883 0.057457484 0.061057594 0.0642512 0.052832805 0.052614957 0.05168182 0.053364992 0.049000133 0.055372156 0.055424023 15911.0 5.91773 94157.0 0.011948129 0.016366282 0.01613263 0.008337139 0.014274032 0.009399195 0.008581412 0.009197405 0.01044001 0.007540597 0.007869834 0.007922937 0.0077211466 0.0090274755 0.009101819 0.0098558795 0.010036428 0.008188452 0.010726765 0.008761961 0.009154922 0.007646803 0.00816721 0.0076786643 0.010896694 0.00874072 0.014890024 0.006701573 0.009335471 0.0067334347 0.007869834 0.0072963242 0.010556836 0.01195875 0.018649703 0.011109105 0.024544112 0.0116295125 0.01024884 0.0106842825 0.016217593 0.009462918 0.008634515 0.008910649 0.011045381 0.0101532545 0.011310896 0.009016855 0.011799442 0.008761961 0.010705524 0.011491445 0.011725098 0.008061005 0.010482492 0.009781535 0.010960417 0.009059337 0.008400862 0.0060855807 0.0096222265 0.0061493036 0.008124728 0.010121393 0.008188452 0.014953747 0.0112790335 0.009431057 0.015867116 0.015983941 0.008464586 0.009271748 0.010864832 0.012755292 0.007636182 0.009749673 0.012086197 0.0091443015 0.011788821 0.012659707 0.012872118 0.009537262 0.013445628 0.011268414 0.017045997 0.0135836955 0.011066623 0.008337139 0.009654088 0.011555169 0.008453965 0.008209692 0.007614941 0.008209692 0.009314231 0.0076999054 6.5334096 5.0 0.0 0.0 47.0 2073600.0 15142912.0 0.0 0.0 3.0 1.0 1.0 0.0 0.0 0.0 1190180000.0 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 0.0 4096.0 4096.0 6.0 0.0 1.0 1.0 6.0 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 144896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26112.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 -350720.0 0.0 1415680.0 0.0 0.0 0.0 0.0 0.0 0.0 6.726656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.998777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9922614 0.0 0.0 0.0 0.0 -7.7328787 0.0 0.0 0.0 -7.999429 0.0 7.922508 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2723840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192512.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 -1724416.0 0.0 10424320.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 15074120.0 10421112.0 4644864.0 0.0 0.0 0.0 0.0 8.0 15074336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0