Input: 0.17993298 0.0108200265 0.009073921 0.0055388273 0.0075271497 0.002968581 0.002708608 0.0028429497 0.008875926 0.0021065834 0.0029826516 0.0018201444 0.005055398 0.0026258589 0.0014787626 0.0062805535 0.008628684 0.0016037237 0.0013702173 0.0012509514 0.0031029223 0.0018908329 0.0011089045 0.00081040483 0.0028519952 0.00086065725 0.0007839385 0.00086199737 0.0019410853 0.00080303446 0.0012958436 0.00089918415 0.0060366616 0.0007712079 0.0009176101 0.0008914788 0.0048537184 0.0010264905 0.00068343355 0.0007561321 0.0017384004 0.0007913089 0.0007882937 0.0015702221 0.0016496211 0.0016419156 0.0012677023 0.0007822634 0.0039002616 0.0017896579 0.0015370555 0.013583242 0.0021658815 0.0013789277 0.0011514516 0.0011072294 0.002588337 0.0013816078 0.0011249853 0.0025176487 0.0018804474 0.0013018739 0.0008921488 0.000998014 0.007947596 0.0044490187 0.003031564 0.005434637 0.004597431 0.017129391 0.0049790144 0.0030469748 0.0027863318 0.0022727516 0.0018238296 0.0014884782 0.0025950375 0.0046068113 0.0018600114 0.001976262 0.008496017 0.002809783 0.0024365748 0.006333151 0.0037528544 0.0077043734 0.0042637545 0.0035163327 0.0021095986 0.004461079 0.0020489607 0.0038416337 0.002179952 0.0037166725 0.005889254 0.0020020583 0.0014187947 0.0044848653 0.0013142696 0.0027638858 0.006368998 0.0077633364 0.0034298985 0.0016238247 0.0052600936 0.004474145 0.0035890313 0.0012519564 0.0046922406 0.001998373 0.0045689545 0.0051009604 0.0028617105 0.000630166 0.00498873 0.0042027812 0.012351052 0.0069140694 0.0015836228 0.0020288597 0.0027752763 0.0014402358 0.00072966586 0.0011564768 0.001831535 0.0022513105 0.0015504562 0.0012730625 0.007246406 0.0013799327 0.00074876175 0.008620309 0.0038506791 0.00702429 0.0010918187 0.0008090647 0.0027176535 0.009826703 0.0010271604 0.047152225 0.0013270002 0.009439424 0.0005996795 0.000895834 0.0028677408 0.00063217606 0.00081576506 0.00096518244 0.0014070692 0.0019216544 0.0007795833 0.00045227222 0.0011340308 0.0012921585 0.00042982612 0.00065830734 0.0011186199 0.0005521071 0.00050889 0.00056684786 0.0011933286 0.0023531555 0.0005129102 0.00083385594 0.0011990239 0.000875398 0.00043384632 0.0005236307 0.0010348659 0.00044925706 0.00059130404 0.00052028056 0.0012073993 0.00049816945 0.0006130801 0.00058560877 0.0017836277 0.0007042046 0.0013752426 0.00079867925 0.001261337 0.00073167594 0.0019970331 0.0011477664 0.002624854 0.0015236548 0.0025709162 0.0013075692 0.0010747327 0.0007591473 0.0011028742 0.000793654 0.009481636 0.0012201299 0.001670392 0.008400872 0.0026757764 0.00078360346 0.0041652597 0.0029367541 0.0017621865 0.0014968535 0.00079499406 0.00085060677 0.0023665563 0.0006291609 0.0008904737 0.000875063 0.002466391 0.0009269905 0.002158176 0.0016817827 0.0015119293 0.0006372013 0.0014677071 0.0011427412 0.0037367735 0.0008449115 0.0011259903 0.0020382402 0.0015142744 0.0009450814 0.0007802533 0.0008673576 0.0023243441 0.0007189453 0.0009712127 0.001223145 0.0023253493 0.0017628566 0.0012331955 0.0013179547 0.023727875 0.0037106422 0.0013320254 0.0055049905 0.010059204 0.0013273353 0.0023571758 0.0012811029 0.0049582436 0.0011695424 0.0019799473 0.0016043938 0.003727393 0.001669722 0.008090648 0.0018948531 0.005946877 0.006974708 0.002261026 0.0021273545 0.008443755 0.002927709 0.0077067185 0.06522402 0.0034303728 0.0 3.3524287e-07 3.3524287e-07 3.3524287e-07 0.0 0.0 0.0 1.0057287e-06 0.0 0.0 0.0 0.0 0.0 0.0 5.0286434e-07 0.0019715633 3.6876716e-06 1.508593e-06 5.86675e-06 1.8438358e-06 3.1848074e-06 5.1962647e-06 3.1848074e-06 3.2350938e-05 3.1848074e-06 1.8438358e-06 1.3409715e-06 2.3467e-06 3.3524287e-07 1.17335e-06 2.11203e-05 0.002862136 4.190536e-06 4.861022e-06 4.525779e-06 6.201993e-06 4.861022e-06 1.5588794e-05 1.1398258e-05 4.425206e-05 8.716314e-06 7.542965e-06 1.0057286e-05 2.329938e-05 7.878208e-06 1.4080201e-05 6.0008475e-05 0.003579891 1.7935494e-05 2.0282194e-05 2.3131759e-05 1.7432629e-05 1.7265009e-05 3.0674724e-05 2.2461272e-05 0.00010392529 1.27392295e-05 1.7432629e-05 1.1901122e-05 8.515169e-05 1.5421172e-05 0.00093214284 0.001957986 0.0035606145 2.3802244e-05 2.0617437e-05 2.6148944e-05 2.5310837e-05 3.6038608e-05 4.6934e-05 3.1009968e-05 7.693824e-05 1.7265009e-05 1.7265009e-05 2.3131759e-05 4.207298e-05 3.033948e-05 0.0012628599 0.00299858 0.0065667373 0.00014247822 0.0002799278 9.1353686e-05 0.00028814125 0.0001672862 0.000247074 0.00013342667 0.00017214722 4.45873e-05 2.58137e-05 6.2019935e-05 0.00012940375 7.0233385e-05 0.0009132016 0.0026812726 0.007946597 0.00031864835 0.00026165706 0.00063176523 0.00029434325 0.000211203 0.0003629004 0.00025528745 0.00016376615 0.00010409291 0.00010493102 0.0001164969 0.00019410563 0.00024020152 0.0006104773 0.0022583636 0.015347084 0.00053152756 0.0019080348 0.0031583232 0.0016621342 0.00042944614 0.003630848 0.0019400505 0.0002589751 0.00017164435 0.00010627199 0.0001915913 0.00019108845 0.0002306471 0.0010529979 0.0035182063 0.00909229 0.0004322957 0.00082754705 0.0016856012 0.002033751 0.0011829045 0.0055646966 0.00320224 0.0002712115 0.00017231485 0.00016058134 0.00026484186 0.0003994419 0.00041469545 0.0008669381 0.0036380556 0.01174691 0.0005618671 0.00081044965 0.0027610604 0.0019008272 0.00075245264 0.0035507248 0.0019616736 0.00087012287 0.00059153605 0.00028830886 0.00053420954 0.00069948426 0.0007804454 0.002078841 0.006842978 0.014808181 0.00087883923 0.0011235665 0.003513513 0.00393022 0.0017177846 0.0061133215 0.0037341027 0.0014346719 0.00044821974 0.0003313876 0.00054963067 0.00068540405 0.00044201774 0.00095527456 0.004304686 0.028153697 0.0027486563 0.0017985781 0.004168745 0.00734953 0.0027158025 0.008642226 0.00478291 0.0033202455 0.0014889812 0.0011604432 0.0015074196 0.0017026985 0.0012251451 0.001988996 0.005172462 0.021303847 0.002928514 0.0020144745 0.0025644405 0.005962462 0.0039179837 0.0052140323 0.0031598317 0.0053171194 0.0019157454 0.0014108696 0.0021189025 0.0022538379 0.0017456097 0.0036831459 0.008639544 0.05767468 0.0091663785 0.007270412 0.008153778 0.020600507 0.0211669 0.010571213 0.011569567 0.040402465 0.005234985 0.0038874764 0.0069033215 0.012866119 0.0073109767 0.018771254 0.03788697 0.06425567 0.012006053 0.009431221 0.012145682 0.025681617 0.03295203 0.01568635 0.017330883 0.05102916 0.0056117983 0.0056151506 0.008912097 0.021362012 0.011048096 0.027789287 0.046461813 0.00027020575 0.00028277736 0.00036558235 0.00033256094 0.0002916613 0.00030289195 0.0003970952 0.00041653926 0.00030021 0.0002720496 0.00028328024 0.0003494907 0.0003761425 0.00028830886 0.00028730315 0.0003332314 22034.0 13.048879 287519.0 0.016812801 0.0010990578 0.0012451351 0.0011477502 0.0030780574 0.00093559036 0.0011129699 0.0017042352 0.0019511754 0.0013946905 0.00201378 0.0013146957 0.0014155586 0.009338513 0.0058883065 0.0018398784 0.009665448 0.009258519 0.007502113 0.060169935 0.009383728 0.0059891692 0.005484855 0.005596152 0.0072308267 0.005964823 0.0036484546 0.002698952 0.0027198202 0.00203117 0.0021981157 0.0033249976 0.0029841505 0.01860051 0.010197587 0.020485602 0.015929382 0.01471555 0.011265342 0.0050953156 0.0058674384 0.011494893 0.0013077396 0.002587655 0.007717751 0.0073490795 0.0058674384 0.011063617 0.009063749 0.0051127058 0.0076829707 0.015887646 0.015887646 0.005759619 0.005039667 0.009018535 0.0020972528 0.0050361888 0.0020798626 0.0039719115 0.0077699213 0.0036936689 0.0038049659 0.0054500746 0.0018294443 0.03542027 0.0083124945 0.021059478 0.020071717 0.06607911 0.007422118 0.0116131455 0.012820022 0.035475917 0.0031510962 0.0049770623 0.03278392 0.013738222 0.037757505 0.04269283 0.013567799 0.000897332 0.039879102 0.03008149 0.05262609 0.012378313 0.008361187 0.011362728 0.0050292327 0.0057770093 0.0019546535 0.002253764 0.0009947169 0.002229418 0.00066430395 0.0016938011 5.8097258 277.0 42.0 0.0 18.0 2984928.0 3092480.0 0.0 0.0 667.0 0.0 1.0 1.0 1.0 0.0 1278716900.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1928192.0 1024.0 4096.0 9.0 3.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1903616.0 -18944.0 936960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 -6.2324324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6138253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.536902 -5.270516 6.155019 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 -120060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -24116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25944.0 0.0 0.0 -37424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1903220.0 -18442.0 936600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -3.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 -1.0 -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 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 2.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 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 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -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 0.0 0.0 -2.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 1.0 0.0 -5.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 3.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 2.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 -2.0 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 -1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 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 1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 3.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 2.0 0.0 -1.0 1.0 1.0 0.0 -3.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 -1.0 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 -3.0 0.0 0.0 0.0 0.0 3.0 0.0 -1.0 1.0 1.0 0.0 3.0 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 -1.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 -3.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 3.0 2.0 0.0 3.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 2.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 2.0 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 1.0 0.0 2.0 2.0 -2.0 0.0 0.0 1.0 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 -1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 1.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 -2.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 1.0 -3.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -3.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18442.0 2002944.0 936600.0 2154496.0 0.0 0.0 5520.0 2979408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2027520.0 0.0 0.0 0.0 0.0 2796.0 2006400.0 0.0 0.0 0.0 0.0


Input: 0.0076371185 0.0037547108 0.0032310472 0.003147347 0.0036581336 0.0033673286 0.0032643129 0.003334063 0.0036055525 0.0030507697 0.0031731008 0.0031280315 0.003650622 0.0029938964 0.0030486234 0.003386644 0.003384498 0.0029745807 0.0029327306 0.0029949695 0.0031323237 0.0030861814 0.0032331934 0.003095839 0.003189197 0.0030196502 0.0029037576 0.002857615 0.0031044236 0.0028533228 0.002989604 0.0030765235 0.003547606 0.0030486234 0.0030765235 0.003107643 0.0039349883 0.0027846454 0.0028458112 0.002844738 0.0029810194 0.002990677 0.0029477538 0.0028415187 0.0028479572 0.0029016114 0.0030067733 0.0029273652 0.0029960424 0.0029863848 0.002895173 0.0028146917 0.0030733044 0.0037203722 0.0036484757 0.0049254424 0.009324002 0.02482144 0.031500295 0.033237614 0.022943547 0.010723299 0.004006885 0.005002704 0.0034338597 0.0029713616 0.0027889379 0.0027664031 0.003096912 0.00472263 0.0027224068 0.0027567453 0.0027170414 0.0027631838 0.0028404456 0.002818984 0.0028597612 0.0029423884 0.003002481 0.0027610378 0.0029488269 0.0028865882 0.0027492337 0.0028350803 0.0027685494 0.0029380962 0.0027706954 0.002792157 0.002724553 0.0027266992 0.0028619072 0.0027857185 0.0028801498 0.0030754504 0.0029584847 0.0026773375 0.0027181145 0.002683776 0.002738503 0.0026408527 0.0026741182 0.002885515 0.0026118795 0.0030303812 0.0027266992 0.0027470877 0.0027749878 0.0026816297 0.0030507697 0.0027288452 0.0027867917 0.003004627 0.002805034 0.0025711025 0.0027148952 0.0026086601 0.0028619072 0.002711676 0.002764257 0.002764257 0.0026623143 0.0026022217 0.0026483643 0.0025378368 0.0025367637 0.0026945067 0.0025850525 0.0026365602 0.0033855708 0.0032889936 0.0031913433 0.0037128606 0.0032449972 0.0034327866 0.0032696782 0.00331904 0.003212805 0.0041624815 0.0033555247 0.0053471634 0.0030861814 0.0032932858 0.003029308 0.003110862 0.0032707513 0.0030443312 0.0030765235 0.0032364125 0.0032063664 0.003015358 0.0028361534 0.0029778 0.0029938964 0.002976727 0.0029724347 0.0030529157 0.0031741739 0.0030443312 0.0030979852 0.0030668657 0.0028103995 0.0028533228 0.0028329343 0.0029187805 0.003043258 0.0029016114 0.0028908805 0.002909123 0.002962777 0.0029166345 0.0032181703 0.0028769304 0.0029520462 0.0028919536 0.0028404456 0.0028769304 0.0029273652 0.0029316577 0.0029938964 0.0029778 0.0030486234 0.003453175 0.003968254 0.0050660158 0.009481745 0.024426546 0.031882312 0.03268927 0.023697924 0.009591199 0.004679707 0.0027148952 0.0029659963 0.0029799463 0.002923073 0.0029198537 0.0026751913 0.002818984 0.0028425918 0.003121593 0.0029574116 0.00273743 0.002895173 0.0026376334 0.0026633872 0.0027063105 0.0027449415 0.0027889379 0.0029080498 0.002802888 0.0026773375 0.0027814263 0.0030239427 0.0027020182 0.0025657369 0.0026279755 0.0027975226 0.0028758573 0.0027696223 0.0029466806 0.0029209268 0.0034220556 0.0029338037 0.0028586881 0.002989604 0.0025764678 0.002696653 0.0026236833 0.002698799 0.0027395762 0.0026204642 0.0026408527 0.0029702885 0.0028018148 0.0026204642 0.0028672728 0.0028790766 0.002659095 0.002884442 0.0026419258 0.002778207 0.0025882716 0.0025034982 0.0025732485 0.0028007417 0.0025990026 0.002567883 0.0027224068 0.0027771338 0.0026161717 0.0026065141 0.0027664031 0.0028329343 0.0026816297 0.002698799 0.0032224625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00031531474 5.371631e-07 0.0001267705 1.6114893e-05 4.1361556e-05 2.954397e-05 0.00035775063 0.00020251049 5.371631e-07 2.6858154e-06 5.371631e-07 1.6114893e-06 0.0 0.0 5.371631e-07 4.2973047e-06 0.0005774503 4.2973046e-05 5.2641983e-05 2.2023687e-05 2.4709501e-05 3.0081133e-05 5.6402125e-05 3.0081133e-05 8.9706235e-05 7.5202834e-06 1.0743262e-05 1.1817588e-05 4.1361556e-05 1.5040567e-05 3.5989928e-05 5.156766e-05 6.2310915e-05 5.8013615e-05 7.090553e-05 0.0006102173 6.607106e-05 7.896298e-05 6.821971e-05 6.5533895e-05 7.251702e-05 7.251702e-05 0.00011226709 0.0005790618 6.5533895e-05 7.466567e-05 6.2848085e-05 8.0574464e-05 0.0033159077 0.0017968105 0.0024387205 0.00943527 0.0028544846 0.0020541116 0.0019031689 0.0018704019 0.0035458135 0.0022834803 0.0024032677 0.0071367486 0.0028206434 0.0023602946 0.0018043309 0.0014814958 0.015239854 0.012206494 0.012425119 0.04061759 0.013070789 0.012053402 0.01131158 0.010415055 0.014556046 0.012569079 0.011519463 0.041812237 0.011071469 0.012322522 0.011627969 0.011306746 0.034526158 0.03178931 0.030600032 0.10827274 0.029246382 0.028591042 0.02813929 0.027559152 0.03420064 0.031283304 0.029976387 0.107417576 0.028885407 0.028332667 0.027946446 0.02799694 0.0030231539 0.0029500998 0.0029157212 0.009729635 0.0026385451 0.002572474 0.002654123 0.0025810685 0.003017245 0.0028566334 0.0027067647 0.009592659 0.0025209063 0.0025418557 0.0024580583 0.002446778 4589.0 7.705818 35362.0 0.014478819 0.0071545728 0.0063627623 0.0066738306 0.007324246 0.006560715 0.0066172727 0.0066738306 0.0077201515 0.007522199 0.007069736 0.007607036 0.006984899 0.007833268 0.009501725 0.00831401 0.008229173 0.008455404 0.0072394097 0.007522199 0.008116057 0.008709915 0.008766472 0.009727957 0.018494429 0.05570952 0.06942481 0.07906792 0.057377975 0.025875233 0.0094168885 0.017052203 0.007013178 0.0081726145 0.0071828514 0.0071828514 0.0064475993 0.007889825 0.0071828514 0.006928341 0.0062496467 0.0076635936 0.0075787567 0.0071828514 0.007409083 0.008596798 0.00831401 0.007324246 0.0074373623 0.0067586675 0.0066738306 0.008229173 0.0071545728 0.007069736 0.007069736 0.0072959675 0.0062213675 0.0063062045 0.007465641 0.007041457 0.0069000623 0.0066738306 0.00803122 0.0069000623 0.006560715 0.009473446 0.007550478 0.0072676884 0.007889825 0.01097223 0.0075787567 0.0074373623 0.007550478 0.008992704 0.0068435045 0.0064475993 0.010152141 0.007069736 0.0092472145 0.008709915 0.008738194 0.0063062045 0.010519767 0.0080877775 0.009275493 0.008002941 0.0072959675 0.0071545728 0.0057123466 0.007465641 0.0063062045 0.00588202 0.006334483 0.0063062045 0.0053729992 0.0063627623 6.1204348 0.0 0.0 0.0 22.0 931896.0 1536000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1007762370.0 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 -1.0 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 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 25600.0 1024.0 4096.0 11.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -1024.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 1464320.0 0.0 0.0 0.0 0.0 0.0 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 0.0 512.0 0.0 0.0 -25600.0 -1536.0 1024.0 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 7.5476313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2483733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1921 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -916.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 1464052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1060.0 0.0 0.0 -28.0 0.0 0.0 0.0 0.0 0.0 167.0 0.0 0.0 -25444.0 -1288.0 920.0 0.0 0.0 0.0 -36.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167.0 1507328.0 1288.0 1511424.0 920.0 1523712.0 0.0 0.0 15256.0 1497112.0 916.0 1527808.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1519620.0 0.0 0.0 0.0 0.0 176.0 1511680.0 0.0 0.0 0.0 0.0


Input: 0.25146535 0.009917184 0.008064211 0.010758584 0.011609439 0.0066083046 0.0021271366 0.002382393 0.005360384 0.0022878535 0.0019569658 0.0015220843 0.003176524 0.0021082286 0.0014842687 0.005067312 0.0027889125 0.0013235516 0.0013140977 0.0013519134 0.0026187415 0.0018057026 0.0013708214 0.0013140977 0.001748979 0.0015977159 0.0010872032 0.0013991832 0.002221676 0.0012195583 0.0012479201 0.0012479201 0.011836333 0.0014464529 0.0018529723 0.0018246105 0.012999168 0.0027321887 0.002221676 0.0018151565 0.0021271366 0.0022783997 0.0014559068 0.0014464529 0.0018624263 0.003516866 0.00959575 0.0028172743 0.002845636 0.0032521556 0.0020420512 0.0023351233 0.0031576161 0.0023351233 0.0028267282 0.002032597 0.0020136894 0.0019096959 0.001748979 0.0018624263 0.0023351233 0.002713281 0.0014086372 0.002221676 0.010768038 0.0029968992 0.0013897292 0.002675465 0.003942293 0.0057858117 0.001739525 0.0015409923 0.0018057026 0.0019286039 0.001115565 0.001106111 0.0023918469 0.0022878535 0.0013046438 0.0012857359 0.0033845108 0.0013140977 0.001588262 0.0028267282 0.00285509 0.0038193918 0.0019947814 0.002070413 0.0019286039 0.0012290123 0.0013613674 0.0017962487 0.0024391166 0.0029590833 0.0016733474 0.013036984 0.0018435183 0.016742928 0.0035452277 0.0047080624 0.009491757 0.010853124 0.0032332477 0.0029118136 0.003025261 0.011202919 0.0012195583 0.0016828014 0.005889805 0.005558917 0.005105128 0.006665028 0.0069108303 0.0019286039 0.007033732 0.011968688 0.01753706 0.0054832855 0.0021271366 0.003176524 0.0035641356 0.003658675 0.0014086372 0.0012290123 0.0019096959 0.0021933143 0.0012195583 0.0015504463 0.003356149 0.0024769325 0.0011344729 0.0048498716 0.0026849192 0.005719634 0.003015807 0.0011722886 0.0018813341 0.014076917 0.0013613674 0.008158751 0.0037815762 0.0053414763 0.0013424596 0.0032143397 0.006759567 0.0020136894 0.0025809258 0.0013140977 0.0016260778 0.0017867947 0.0009926638 0.0010872032 0.0024863863 0.0014086372 0.001266828 0.0024674784 0.0011344729 0.0015315383 0.002524202 0.0012573741 0.0027416428 0.002713281 0.0017678868 0.0011722886 0.0016260778 0.0010493874 0.001115565 0.00091703224 0.0015126305 0.0010966571 0.0012006505 0.0011911965 0.0011628347 0.0014559068 0.0013424596 0.0010872032 0.0037153985 0.0011533807 0.0020042353 0.0027227348 0.0020420512 0.0016922554 0.0027983664 0.002051505 0.003015807 0.0018151565 0.0019569658 0.0012006505 0.0020231432 0.0010966571 0.0014086372 0.0014653608 0.004897141 0.0015315383 0.0018246105 0.0032332477 0.0017962487 0.0008886704 0.0015788081 0.0035452277 0.0014937225 0.0015599001 0.0010493874 0.0011911965 0.0013991832 0.0008792165 0.0010210256 0.0009926638 0.0024769325 0.0011533807 0.0016355317 0.0014653608 0.0013991832 0.0009926638 0.0010210256 0.00089812436 0.0023351233 0.0010399334 0.001106111 0.0014748147 0.0013046438 0.0012006505 0.00095484796 0.0010399334 0.0021271366 0.0012857359 0.0014559068 0.0011533807 0.0022689458 0.0021271366 0.0019947814 0.0010682952 0.0074118893 0.0027794584 0.002051505 0.0021744063 0.003639767 0.0010588414 0.0012195583 0.0010021176 0.0032048859 0.0015126305 0.0022405838 0.0019853276 0.0018246105 0.001266828 0.002221676 0.0016355317 0.004443352 0.0019475117 0.0028172743 0.003497958 0.0036775828 0.0017678868 0.0019664196 0.020325972 0.029373469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.5741425e-06 9.5741425e-06 0.0 1.9148285e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01619945 0.00034945618 0.0004451976 0.00017233456 0.0003159467 0.00023456648 0.00056966144 0.0005457261 7.180607e-05 3.35095e-05 6.7019e-05 6.223193e-05 9.574142e-05 6.7019e-05 6.223193e-05 0.0003159467 0.03129787 0.0003638174 0.00201057 0.00041647517 0.0003781786 0.00032073376 0.001756855 0.0016706878 0.00012446386 0.000110102636 0.00016754749 0.000105315565 8.138021e-05 0.00014361214 0.000134038 0.000134038 0.014763327 0.00012446386 0.0006318934 0.00023456648 0.00030158547 0.00059359684 0.0013308057 0.0008616728 7.659314e-05 6.223193e-05 7.659314e-05 6.7019e-05 8.616728e-05 7.659314e-05 9.574142e-05 0.00022499234 0.06397921 0.0003829657 0.0057205497 0.0018334482 0.00071806065 0.002020144 0.0100719975 0.0054189647 0.00031115962 0.0011393229 0.0007994409 0.0008903952 0.00065582874 0.0005600873 0.00068933825 0.0028483074 0.050589766 0.00086645986 0.011134727 0.0033892463 0.002556296 0.0077837775 0.03166169 0.016601562 0.00021063113 0.00019626992 0.00068933825 0.0006510417 0.0002489277 0.00020105699 0.00020105699 0.00046913297 0.00055051316 0.0 3.35095e-05 0.00044998468 0.0009143306 0.0020392924 0.0038009344 0.002015357 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025409773 0.00071806065 0.0058833105 0.0026855469 0.005912033 0.0044328277 0.017611634 0.0087938495 0.000536152 0.00048349416 0.00046913297 0.0027812882 0.00039253983 0.0004308364 0.0005026425 0.0013882506 0.007817287 0.00019626992 0.0014456954 0.0011919807 0.0021924786 0.00045955883 0.0015222887 0.0009957108 0.0006318934 0.000943053 8.138021e-05 0.00045477174 0.00030637256 9.095435e-05 0.00030158547 0.0009765625 0.005787569 0.00034945618 0.0005313649 0.0005026425 0.0005313649 0.00063668046 0.00044041054 0.0006175322 0.0020440794 0.00082337623 0.00032552084 0.00062231923 0.00070848654 0.0006127451 0.0007276348 0.0043466603 0.034739774 0.003240847 0.008439606 0.003159467 0.007477405 0.005184398 0.0012063419 0.0037530637 0.02000517 0.0031929763 0.0014648438 0.0048301546 0.0067737056 0.0028530944 0.0077885645 0.0133415675 0.018918505 0.0025945925 0.004313151 0.002628102 0.006084367 0.00540939 0.0029440487 0.004633885 0.012092141 0.004246132 0.001957912 0.003370098 0.0046003754 0.0026328892 0.0043275123 0.007482192 0.022891775 0.016615923 0.021479588 0.020608341 0.016845703 0.017477596 0.02098652 0.027252795 0.027774587 0.021350337 0.017137714 0.018626494 0.015074487 0.013949526 0.020158356 0.02529967 1468.0 11.542234 16944.0 0.0453848 0.00076723326 0.0025377716 0.0012983948 0.024079321 0.0033640226 0.0011803588 0.0013574127 0.0018885741 0.00088526914 0.00076723326 0.0005901794 0.0014754485 0.011331445 0.041961756 0.007790368 0.002183664 0.0022426818 0.005134561 0.0034820586 0.008675638 0.0066100094 0.0066690273 0.00631492 0.0023016997 0.0012393767 0.002124646 0.00088526914 0.0013574127 0.002183664 0.00094428705 0.00088526914 0.005842776 0.0074952785 0.00088526914 0.0046033994 0.003895184 0.00401322 0.0033050047 0.0037771482 0.0020656278 0.0040722378 0.0006491974 0.0005311615 0.0055476865 0.001947592 0.0017705383 0.002183664 0.0036000945 0.0011803588 0.0031869689 0.005783758 0.0034230405 0.0015934844 0.0014754485 0.0015934844 0.0011213409 0.0005311615 0.0005901794 0.00082625117 0.00076723326 0.00076723326 0.0007082153 0.07211992 0.00076723326 0.08834986 0.007259207 0.02095137 0.04992918 0.056421153 0.01032814 0.01003305 0.0107412655 0.05907696 0.0016525023 0.0041312557 0.027974505 0.01835458 0.023312086 0.03293201 0.024138339 0.0016525023 0.033168085 0.035056658 0.08345137 0.013042965 0.005075543 0.007849386 0.012216714 0.005134561 0.0017705383 0.00076723326 0.001062323 0.00076723326 0.00023607176 0.0006491974 5.237979 0.0 0.0 0.0 2.0 105776.0 12767232.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 29696.0 512.0 4096.0 2.0 1.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 20544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9693108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12656640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 110592.0 5120.0 102400.0 0.0 0.0 0.0 0.0 1484.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 131112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.22548544 0.02144013 0.0080097085 0.01197411 0.0118932035 0.006553398 0.014401294 0.0033980582 0.0033980582 0.0052588996 0.0049352753 0.0036407767 0.002750809 0.005016181 0.0028317152 0.0024271845 0.0029126212 0.002184466 0.001132686 0.007200647 0.0025889967 0.002265372 0.0029126212 0.0015372168 0.0023462784 0.0018608414 0.0016990291 0.0012135922 0.0020226538 0.0033171521 0.0018608414 0.002184466 0.014158576 0.0024271845 0.0014563106 0.0029935276 0.0019417476 0.001618123 0.0012944983 0.0017799353 0.001618123 0.001132686 0.003236246 0.0035598706 0.0024271845 0.0029935276 0.009546925 0.0052588996 0.02289644 0.009385114 0.0033171521 0.0028317152 0.0025889967 0.002184466 0.0016990291 0.0028317152 0.002669903 0.0017799353 0.0033980582 0.00088996766 0.0012944983 0.0015372168 0.0009708738 0.00088996766 0.002265372 0.0036407767 0.0028317152 0.005016181 0.004692557 0.0025889967 0.0029935276 0.0012135922 0.004368932 0.0033980582 0.0012135922 0.0013754045 0.0015372168 0.0036407767 0.0025889967 0.00210356 0.0037216828 0.001618123 0.002750809 0.006067961 0.002750809 0.007847897 0.0014563106 0.0015372168 0.00210356 0.0012135922 0.0019417476 0.0007281553 0.001618123 0.000566343 0.0009708738 0.0041262135 0.0017799353 0.009142395 0.003236246 0.011245955 0.00841424 0.014401294 0.0037216828 0.005987055 0.0033980582 0.015533981 0.0007281553 0.0019417476 0.0058252425 0.0074433656 0.009466019 0.014805825 0.005501618 0.0012944983 0.016747573 0.010760518 0.015210356 0.005501618 0.001618123 0.0033171521 0.0012135922 0.0015372168 0.001132686 0.001618123 0.000566343 0.0012135922 0.00105178 0.00105178 0.0041262135 0.0038834952 0.008333334 0.0014563106 0.0008090615 0.0012135922 0.0063106795 0.0012135922 0.0008090615 0.0016990291 0.00064724917 0.0017799353 0.0012944983 0.00105178 0.0013754045 0.0018608414 0.0009708738 0.0012944983 0.001618123 0.001132686 0.0008090615 0.0008090615 0.00064724917 0.0014563106 0.0015372168 0.00105178 0.00105178 0.00105178 0.0007281553 0.0024271845 0.0013754045 0.0015372168 0.0028317152 0.0018608414 0.00105178 0.001618123 0.0009708738 0.0016990291 0.0008090615 0.0014563106 0.001132686 0.00105178 0.00064724917 0.0007281553 0.0014563106 0.0012135922 0.000566343 0.001618123 0.0049352753 0.0024271845 0.0033980582 0.0015372168 0.0029935276 0.006472492 0.0012135922 0.001132686 0.0039644013 0.0009708738 0.00210356 0.003236246 0.0017799353 0.003802589 0.00420712 0.002750809 0.00088996766 0.001618123 0.0009708738 0.000566343 0.0012135922 0.00105178 0.00088996766 0.0008090615 0.0018608414 0.00064724917 0.00064724917 0.0012135922 0.00105178 0.0013754045 0.0013754045 0.001132686 0.032686085 0.012216829 0.000566343 0.0009708738 0.00105178 0.0007281553 0.000566343 0.0012944983 0.0009708738 0.0004854369 0.0007281553 0.0008090615 0.0007281553 0.0014563106 0.00088996766 0.001132686 0.00040453076 0.00105178 0.00088996766 0.00040453076 0.0013754045 0.0009708738 0.00088996766 0.00088996766 0.00105178 0.0012135922 0.0013754045 0.00088996766 0.0008090615 0.0007281553 0.0009708738 0.001618123 0.00064724917 0.00088996766 0.0013754045 0.0012135922 0.001132686 0.0009708738 0.001132686 0.0030744337 0.0013754045 0.001618123 0.001132686 0.0013754045 0.0012135922 0.0009708738 0.00088996766 0.0016990291 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05801669 0.0022638494 0.002574574 0.0057262075 0.0028409092 0.0027077415 0.010564631 0.003950639 0.00075461646 0.0 0.00053267047 0.00022194603 0.00031072443 4.4389206e-05 4.4389206e-05 0.00035511365 0.053932883 0.00062144885 0.003506747 0.0027521306 0.0025301846 0.002397017 0.0104758525 0.005060369 0.0015536222 4.4389206e-05 0.00013316762 0.0031960227 8.877841e-05 0.004350142 4.4389206e-05 0.00022194603 0.04967152 0.0006658381 0.0026633523 0.0018199574 0.0041725854 0.0051047583 0.015003551 0.007768111 0.00035511365 0.00053267047 0.0007102273 0.00062144885 0.00035511365 0.00048828125 0.00026633524 0.0007102273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050026633 0.00053267047 0.008744673 0.0027521306 0.0057262075 0.0052379263 0.015092329 0.008700284 0.01114169 0.0015536222 0.00031072443 0.029651988 4.4389206e-05 0.042125355 0.0 0.00017755682 0.036443535 0.0051047583 0.004350142 0.008034446 0.0042169746 0.0037286931 0.008655895 0.005193537 0.0028409092 0.0011985085 0.0021306819 0.0014648438 0.001953125 0.0016867898 0.0016867898 0.0022194602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.047629617 0.017444957 0.021928268 0.025878906 0.01677912 0.01229581 0.037642047 0.024946732 0.011851918 0.00785689 0.009366122 0.0075461646 0.008212003 0.006969105 0.006658381 0.009721235 0.032759234 0.012562145 0.013805043 0.014026988 0.009188565 0.009410512 0.021084873 0.014737216 0.009632457 0.007013494 0.007013494 0.006569602 0.0056818184 0.0048384233 0.0066139917 0.0068803267 116.0 19.025862 2207.0 0.040779337 0.0022655188 0.00090620754 0.0022655188 0.0027186226 0.0013593113 0.00090620754 0.00045310377 0.0018124151 0.00045310377 0.0013593113 0.0013593113 0.0040779337 0.0067965565 0.03488899 0.024920708 0.049388308 0.028998641 0.011327594 0.0063434527 0.0049841413 0.0045310375 0.0022655188 0.005437245 0.005437245 0.0036248302 0.008155867 0.00090620754 0.00090620754 0.0045310375 0.0013593113 0.00045310377 0.00090620754 0.014046216 0.0022655188 0.020842774 0.014952424 0.0031717264 0.0013593113 0.0013593113 0.0040779337 0.008155867 0.0013593113 0.0013593113 0.0013593113 0.008155867 0.0031717264 0.0031717264 0.0072496603 0.00090620754 0.009062075 0.014952424 0.005437245 0.00045310377 0.00090620754 0.0027186226 0.0036248302 0.00045310377 0.005890349 0.00090620754 0.0 0.0 0.00090620754 0.0018124151 0.00090620754 0.02174898 0.0036248302 0.049388308 0.021295877 0.046216585 0.011327594 0.019483462 0.011780698 0.05754418 0.0 0.0040779337 0.013140009 0.025826914 0.023108292 0.058450386 0.017671047 0.0018124151 0.062075216 0.03987313 0.059809696 0.013593113 0.0027186226 0.011780698 0.0013593113 0.0022655188 0.00090620754 0.0036248302 0.00045310377 0.0031717264 0.0 0.0 5.4392104 0.0 14.0 0.0 1.0 12360.0 32768.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1534964200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 3584.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1765113 0.0 3.4809623 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 -3236.0 0.0 960.0 0.0 0.0 0.0 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 79.0 11340.0 960.0 16384.0 0.0 0.0 6728.0 5632.0 12.0 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 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.16894306 0.022382429 0.005071391 0.0046578636 0.0041543897 0.006638775 0.003252711 0.0028726105 0.007419332 0.0024691955 0.0029575238 0.0020890068 0.0025957043 0.007636715 0.0018030924 0.014971046 0.007718096 0.003525025 0.0017865779 0.0016687238 0.0030967938 0.00897263 0.0016389622 0.0015353707 0.0033738327 0.002885725 0.0015298511 0.0015364747 0.0017168986 0.0015563451 0.0014941284 0.0020114677 0.008953952 0.0013450114 0.0024377117 0.0012772752 0.013009342 0.0037389197 0.0013012522 0.0014002514 0.007282623 0.0017303223 0.001407493 0.00169641 0.0015417734 0.0012685762 0.0016481909 0.0016734485 0.0068554957 0.0015116144 0.0019478379 0.0036441155 0.002195601 0.0013488089 0.0013788795 0.0013599806 0.0034967207 0.0018036223 0.0019583472 0.0033396995 0.0027845623 0.0029072736 0.0026697991 0.0026020186 0.011410254 0.007153244 0.0023701522 0.0027536526 0.0070923963 0.0052742464 0.0018461894 0.002198736 0.056313545 0.0054194774 0.0013371074 0.0014689591 0.0077070566 0.004481237 0.0015124534 0.0015729038 0.004520669 0.0016693419 0.0018383295 0.0021616886 0.0029201673 0.0027279092 0.002308156 0.0026115123 0.0033703442 0.0021338258 0.0012649996 0.0017633515 0.003236064 0.0017285119 0.0017595098 0.0028604674 0.0031313684 0.0032212273 0.0018068458 0.0026957633 0.0028390514 0.004833916 0.0026771734 0.0016956151 0.0026186216 0.002722213 0.0011248023 0.0012347081 0.0028348125 0.0019017383 0.0028063315 0.0029284686 0.0040829442 0.0010349876 0.0037953078 0.0029327078 0.0079747345 0.0045445575 0.0016932307 0.0013830744 0.0026501494 0.0014788944 0.0011172956 0.0012816024 0.0017610112 0.0014578758 0.0011800863 0.0018562129 0.0042950287 0.0017263482 0.0011921852 0.010876003 0.0027305144 0.004701667 0.001238594 0.0012729036 0.0024430547 0.010488528 0.0027996637 0.024895163 0.0018479998 0.02019928 0.0015095391 0.001286548 0.0070149456 0.0011421557 0.0013425827 0.0018066249 0.0012199598 0.0014623356 0.0010348993 0.0011369894 0.0017594215 0.0010647492 0.0009992649 0.0010172366 0.0013066834 0.0010892561 0.0010075222 0.001099942 0.0025814415 0.0012230508 0.0013195772 0.0013812641 0.0013419646 0.0015907432 0.0021633224 0.0012656619 0.0019641318 0.0012785115 0.0014932452 0.0014463067 0.0013599363 0.0015005752 0.0014267453 0.003102446 0.0029048007 0.0013135719 0.0014828243 0.0013470426 0.0013808666 0.0012866805 0.0019432898 0.0015658829 0.0024290571 0.0018625715 0.003687389 0.003526968 0.004451387 0.003002387 0.0023415387 0.0015972783 0.005441203 0.0036450427 0.0019547264 0.0039000474 0.004408423 0.0011695329 0.002132236 0.004368417 0.0032483835 0.0025064636 0.0012441134 0.0023912147 0.024350358 0.0011849877 0.0017150883 0.0021081707 0.0029951895 0.0012382406 0.001960246 0.0013948643 0.0010523853 0.0009368274 0.0010896093 0.0012739192 0.0022612617 0.0014169867 0.0011392856 0.0014907725 0.0009662357 0.00093687157 0.000923183 0.0011240958 0.0025109234 0.0010027533 0.0010726091 0.0011094357 0.001029159 0.0008561532 0.0010409045 0.00093422213 0.0075260587 0.0038464854 0.0012585527 0.0019447912 0.004005008 0.0011064331 0.00092618563 0.0010417877 0.0037700061 0.0012064921 0.001785209 0.0053273225 0.0010167068 0.00089187594 0.0013379905 0.0012184585 0.0029988985 0.0017001634 0.0012762595 0.0010764507 0.0010937159 0.0010700921 0.0020452032 0.031872798 0.0017029565 5.7408483e-06 0.0 1.8326555e-06 0.0 0.0 0.0 1.656014e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.182452e-06 0.0006000291 5.166764e-06 8.390471e-07 4.835561e-06 1.302731e-06 5.299245e-07 1.302731e-06 1.3910518e-06 4.968042e-06 6.624056e-08 4.4160373e-08 1.7001744e-06 3.9744336e-07 1.3248112e-07 3.312028e-07 1.0046485e-05 0.0017402499 2.5325975e-05 3.8066242e-05 1.1062173e-05 1.8459035e-05 8.743754e-06 5.431726e-06 2.958745e-06 2.0247531e-05 3.7536317e-06 3.0029055e-06 3.9744336e-06 4.6589194e-06 3.2237072e-06 2.1417782e-06 7.948867e-06 0.0033084732 6.818362e-05 9.158861e-05 2.4376526e-05 4.601511e-05 2.7379432e-05 1.3380593e-05 1.0377687e-05 4.2681e-05 9.693202e-06 9.163277e-06 1.0753051e-05 8.699593e-06 8.434631e-06 6.2928534e-06 0.00024866706 0.0018625079 5.586287e-05 5.813713e-05 1.9585126e-05 4.003138e-05 1.9805928e-05 2.3802442e-05 1.3778036e-05 2.1506103e-05 1.0377687e-05 8.235909e-06 7.728066e-06 6.4694946e-06 6.5578156e-06 6.4694946e-06 0.000100155725 0.011119472 0.00077022315 0.00028953748 0.0001435433 0.0003885009 0.00010057525 0.00013014062 0.0001290587 8.74817e-05 0.00014773852 0.00011108542 0.00012464265 9.697618e-05 8.763626e-05 8.814411e-05 0.00056527485 0.010146398 0.0006453597 0.0005160802 0.00027421385 0.0002967798 0.00012678443 0.00032477747 0.00020221034 0.00010761883 0.00025237654 0.00012879373 0.000116804185 0.00011236607 0.00010856828 9.779315e-05 0.00029002325 0.007823142 0.00028688787 0.00039625104 0.00039534573 0.00052424986 0.00015504708 0.00087680423 0.0004525555 0.00011068798 0.00016639629 0.00011419872 8.78129e-05 8.699593e-05 7.028123e-05 0.00010379896 0.00046856364 0.013939575 0.000509147 0.0012824835 0.0009775782 0.0019512261 0.0009545927 0.00457539 0.0023015945 0.00026017084 0.00034407555 0.0003266543 0.00025244278 0.00021813017 0.00020686927 0.00019931784 0.00073213485 0.015655559 0.0014048298 0.0027180489 0.0016321011 0.0043102293 0.0020810356 0.0072083417 0.004016673 0.000420473 0.00048170137 0.00057430565 0.00052917376 0.0003212888 0.0003190587 0.00033213018 0.0008186008 0.038635734 0.003598673 0.0031344593 0.004237784 0.0050613307 0.0032414817 0.007184628 0.004134758 0.0018425033 0.0014642917 0.0024935375 0.0023592238 0.0012418339 0.0011396026 0.0011703161 0.005294807 0.021700054 0.0030250738 0.0020161197 0.002384042 0.0023618513 0.0015419257 0.0018479791 0.0018107741 0.0021215747 0.0016061348 0.0052283676 0.0014784893 0.0015993121 0.0011530494 0.0010983127 0.004828694 0.020224104 0.003634487 0.0038884755 0.0022983488 0.0096283965 0.0018409356 0.0012782662 0.00193025 0.009123644 0.0018217479 0.0016908124 0.0017378653 0.006002609 0.0011784637 0.0020055654 0.0041136052 0.08923277 0.020178685 0.02499963 0.013405389 0.07422931 0.017766777 0.007994772 0.014828546 0.060645774 0.009363677 0.007038479 0.010213455 0.041351687 0.008673208 0.015715618 0.02896746 0.01574346 0.0060486905 0.0063898736 0.00785145 0.015401483 0.0053624604 0.0037517108 0.0046201907 0.012878622 0.0041625346 0.0030627868 0.010252206 0.008983413 0.0036062244 0.0047368403 0.007479067 0.006479431 0.00578375 0.005890751 0.008139838 0.0056584454 0.005645749 0.005851912 0.0057651587 0.005819675 0.005669971 0.0056491494 0.008947797 0.0057364544 0.0056388383 0.0056475154 0.0057582255 75049.0 17.411304 1306701.0 0.051387426 0.0006650335 0.006119227 0.0015910296 0.01614677 0.000997933 0.0007201341 0.0008724261 0.0047294674 0.003336647 0.0013078738 0.0017479133 0.003574651 0.0025032505 0.0062914165 0.0044723316 0.0077125523 0.005225373 0.0053830217 0.007792142 0.004460087 0.0030358897 0.0029953294 0.0026417673 0.0036664852 0.003569294 0.008356923 0.0037001579 0.0033320554 0.003609089 0.004296316 0.011959124 0.042576686 0.036054153 0.006165144 0.0066013574 0.01074385 0.015334036 0.0047034477 0.0035968442 0.014708032 0.006469728 0.0014318501 0.0011073689 0.008533704 0.005913365 0.0044830455 0.004101168 0.0076513295 0.007613065 0.007240371 0.009869894 0.009994635 0.008877317 0.020117838 0.009530872 0.0047883946 0.00088390533 0.0034613886 0.0019285207 0.0040705563 0.004032292 0.0072097597 0.019282147 0.0015152663 0.040087212 0.010147693 0.02290042 0.024706494 0.062725134 0.015394493 0.012924151 0.009367866 0.030469863 0.002249941 0.004206777 0.024450889 0.013172868 0.0305969 0.032396853 0.014004734 0.0013400158 0.039258406 0.026843937 0.046713058 0.015673058 0.0066067143 0.0039580595 0.0057243393 0.0065079923 0.0015581223 0.0014517476 0.001859645 0.0013759843 0.0006726864 0.0018634715 5.8281975 17.0 106.0 0.0 66.0 22646648.0 23080960.0 1.0 2.0 3770.0 1.0 1.0 1.0 1.0 0.0 1540326900.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 10.0 6.0 0.0 6.0 0.0 12859392.0 1024.0 4096.0 9.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 -512.0 0.0 -150528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7977984.0 0.0 -4096.0 0.0 0.0 872448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12859392.0 0.0 54784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2389013 -0.86668473 0.0 -5.4675407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.542472 0.0 -7.0907507 0.0 0.0 6.429734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.693878 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4119053 0.0 7.3117166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.0 -48.0 0.0 -150432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7977670.0 0.0 -3632.0 0.0 0.0 872424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1142376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12859130.0 0.0 54360.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 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 -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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 -2.0 -2.0 6.0 1.0 1.0 -3.0 -2.0 0.0 -3.0 3.0 0.0 2.0 -1.0 0.0 4.0 0.0 -2.0 3.0 0.0 -2.0 -1.0 2.0 -1.0 -2.0 4.0 3.0 0.0 2.0 -2.0 3.0 -2.0 -2.0 3.0 4.0 3.0 2.0 -1.0 1.0 0.0 -2.0 0.0 2.0 -1.0 -2.0 -2.0 0.0 -1.0 2.0 2.0 -1.0 -2.0 0.0 -2.0 0.0 1.0 -1.0 3.0 3.0 0.0 3.0 0.0 -1.0 4.0 -1.0 -1.0 2.0 2.0 -2.0 -1.0 -2.0 2.0 0.0 0.0 -2.0 1.0 -1.0 -3.0 -1.0 0.0 -5.0 0.0 2.0 1.0 0.0 1.0 2.0 2.0 -1.0 4.0 0.0 1.0 2.0 3.0 1.0 -1.0 0.0 2.0 -2.0 4.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 1.0 2.0 0.0 4.0 -1.0 0.0 2.0 0.0 0.0 0.0 -2.0 -6.0 0.0 -1.0 1.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 -4.0 -2.0 0.0 -2.0 2.0 1.0 1.0 -4.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -3.0 0.0 2.0 0.0 3.0 7.0 5.0 -3.0 0.0 -2.0 -1.0 0.0 -2.0 4.0 3.0 -1.0 -2.0 -2.0 2.0 1.0 2.0 -1.0 -2.0 -1.0 2.0 1.0 1.0 -2.0 -3.0 -1.0 -1.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 1.0 0.0 4.0 2.0 3.0 -2.0 1.0 2.0 0.0 2.0 -1.0 2.0 -3.0 3.0 -2.0 2.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 1.0 -3.0 -1.0 -1.0 2.0 1.0 2.0 -1.0 2.0 2.0 0.0 2.0 -3.0 0.0 0.0 0.0 2.0 0.0 1.0 -1.0 3.0 4.0 -1.0 -2.0 1.0 -1.0 1.0 -1.0 -1.0 -4.0 -1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 -3.0 2.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 2.0 2.0 -1.0 1.0 3.0 0.0 1.0 2.0 -6.0 -2.0 5.0 -6.0 -2.0 3.0 -1.0 0.0 -1.0 -1.0 2.0 -3.0 -1.0 0.0 1.0 1.0 -2.0 2.0 0.0 3.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 4.0 -2.0 2.0 0.0 2.0 0.0 0.0 1.0 1.0 -2.0 2.0 0.0 -2.0 -1.0 1.0 -1.0 -1.0 -5.0 1.0 -1.0 1.0 -4.0 4.0 3.0 -1.0 -3.0 0.0 -1.0 -5.0 0.0 0.0 -1.0 -3.0 0.0 2.0 -1.0 0.0 -2.0 1.0 1.0 2.0 1.0 2.0 1.0 0.0 -5.0 0.0 -4.0 3.0 2.0 3.0 1.0 0.0 -1.0 0.0 2.0 1.0 1.0 6.0 -1.0 1.0 -1.0 -2.0 2.0 -1.0 3.0 -2.0 -1.0 2.0 -2.0 0.0 1.0 -2.0 2.0 -2.0 -1.0 1.0 3.0 1.0 0.0 -2.0 -1.0 -6.0 -2.0 -3.0 0.0 -3.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 2.0 2.0 -3.0 -2.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 -2.0 -3.0 1.0 3.0 -4.0 -1.0 0.0 -1.0 -1.0 -3.0 -3.0 0.0 -1.0 0.0 -1.0 3.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -2.0 -2.0 -2.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -2.0 -4.0 -1.0 -1.0 1.0 0.0 0.0 5.0 1.0 1.0 1.0 0.0 -1.0 2.0 0.0 1.0 -1.0 1.0 1.0 -2.0 -2.0 3.0 0.0 -1.0 0.0 3.0 -4.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 -3.0 0.0 0.0 4.0 1.0 -1.0 0.0 4.0 -1.0 4.0 -1.0 1.0 2.0 2.0 1.0 0.0 0.0 3.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -3.0 1.0 3.0 -1.0 2.0 -10.0 -1.0 1.0 1.0 -1.0 2.0 1.0 -2.0 -2.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 2.0 0.0 -1.0 1.0 0.0 2.0 -1.0 1.0 -3.0 -1.0 -3.0 0.0 1.0 -1.0 0.0 -2.0 2.0 -1.0 2.0 -1.0 4.0 -2.0 0.0 1.0 -1.0 4.0 0.0 4.0 -2.0 1.0 -2.0 2.0 0.0 2.0 0.0 -3.0 1.0 -3.0 -3.0 0.0 1.0 -2.0 1.0 -3.0 2.0 -1.0 0.0 3.0 -3.0 0.0 0.0 0.0 3.0 4.0 2.0 -1.0 2.0 3.0 0.0 1.0 1.0 1.0 -1.0 3.0 3.0 2.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 -2.0 -5.0 3.0 2.0 0.0 4.0 0.0 0.0 1.0 1.0 -2.0 2.0 -1.0 -1.0 1.0 2.0 0.0 0.0 -1.0 1.0 3.0 1.0 -1.0 5.0 1.0 -1.0 -2.0 -1.0 1.0 1.0 0.0 1.0 2.0 -4.0 -1.0 4.0 2.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -4.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 2.0 0.0 2.0 -1.0 0.0 2.0 -3.0 0.0 -1.0 2.0 -2.0 -2.0 0.0 1.0 4.0 3.0 2.0 -2.0 -2.0 0.0 5.0 2.0 0.0 2.0 3.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 2.0 -3.0 3.0 4.0 3.0 1.0 2.0 3.0 0.0 -1.0 2.0 1.0 -1.0 5.0 1.0 0.0 2.0 0.0 1.0 2.0 3.0 0.0 -4.0 -2.0 1.0 2.0 -1.0 -2.0 -2.0 0.0 0.0 0.0 1.0 1.0 3.0 1.0 -1.0 -1.0 2.0 -3.0 -2.0 1.0 1.0 -5.0 -2.0 -1.0 0.0 3.0 -1.0 1.0 0.0 2.0 -1.0 2.0 2.0 0.0 2.0 2.0 -1.0 1.0 -4.0 -3.0 1.0 0.0 -1.0 4.0 0.0 -1.0 0.0 1.0 2.0 0.0 2.0 1.0 2.0 3.0 -2.0 -3.0 -1.0 -2.0 0.0 -3.0 1.0 5.0 -2.0 0.0 1.0 2.0 0.0 1.0 -1.0 -2.0 3.0 -1.0 4.0 1.0 -3.0 2.0 3.0 -3.0 1.0 -3.0 2.0 -1.0 0.0 -4.0 1.0 0.0 1.0 -2.0 1.0 1.0 4.0 2.0 -2.0 1.0 -1.0 2.0 1.0 -3.0 4.0 -2.0 1.0 1.0 -3.0 1.0 -1.0 -3.0 -1.0 -2.0 -1.0 -3.0 0.0 -1.0 2.0 1.0 1.0 -1.0 -2.0 -1.0 -1.0 1.0 0.0 3.0 0.0 -4.0 5.0 1.0 1.0 -1.0 -1.0 -1.0 3.0 1.0 2.0 -3.0 -3.0 0.0 1.0 -1.0 0.0 2.0 3.0 -4.0 0.0 2.0 -1.0 -2.0 -2.0 -4.0 2.0 0.0 1.0 1.0 -1.0 0.0 -1.0 -3.0 0.0 -1.0 -2.0 5.0 3.0 -1.0 3.0 1.0 0.0 0.0 4.0 -2.0 0.0 -2.0 2.0 2.0 0.0 0.0 2.0 5.0 1.0 -5.0 0.0 -3.0 1.0 1.0 4.0 4.0 0.0 -2.0 -1.0 1.0 2.0 3.0 -2.0 1.0 -1.0 1.0 -1.0 -5.0 -3.0 -1.0 -2.0 4.0 -1.0 -1.0 0.0 -2.0 1.0 2.0 -4.0 -1.0 -2.0 -3.0 -2.0 -1.0 -1.0 -1.0 -2.0 1.0 -1.0 2.0 0.0 1.0 1.0 -1.0 -1.0 3.0 5.0 -3.0 0.0 -1.0 -1.0 1.0 -3.0 1.0 -1.0 0.0 -2.0 1.0 2.0 -3.0 -1.0 2.0 0.0 -1.0 2.0 -1.0 -1.0 -2.0 3.0 -1.0 1.0 3.0 1.0 -1.0 -2.0 0.0 1.0 0.0 3.0 -1.0 2.0 0.0 6.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 2.0 4.0 0.0 0.0 -2.0 0.0 1.0 -1.0 3.0 0.0 -3.0 1.0 -2.0 -2.0 1.0 0.0 -1.0 -3.0 0.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 3.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 -2.0 0.0 -1.0 2.0 3.0 1.0 0.0 -2.0 0.0 4.0 -1.0 1.0 3.0 2.0 -1.0 1.0 0.0 2.0 -4.0 0.0 4.0 2.0 1.0 4.0 4.0 0.0 4.0 1.0 2.0 -1.0 1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 20637456.0 840.0 20637568.0 54360.0 22872064.0 872424.0 21987328.0 7032.0 22639616.0 150432.0 22929408.0 84.0 18131344.0 0.0 0.0 0.0 0.0 40.0 18131600.0 160.0 18131440.0 0.0 0.0 30968.0 12865536.0 0.0 0.0 0.0 0.0


Input: 0.45668316 0.007870514 0.0035452764 0.0032358705 0.005569307 0.001791976 0.002571937 0.002546153 0.009204826 0.0011538264 0.0014245565 0.00088309613 0.004653981 0.0011860561 0.0011473803 0.0074192965 0.0043187914 0.0014761242 0.001360097 0.00074128504 0.0029200185 0.0044348184 0.0010571369 0.00053501443 0.0020046926 0.0010829208 0.0005092306 0.0007799608 0.0015599217 0.00046410892 0.00033518978 0.0006445957 0.0034163573 0.00046410892 0.00052212254 0.0005607983 0.0054790634 0.00051567657 0.00052856846 0.00043187913 0.0011731642 0.00043832508 0.00027717615 0.0019208952 0.0010893667 0.0004189872 0.0009411097 0.00030296 0.0023269905 0.0010120153 0.0018435437 0.006001186 0.0014632322 0.0015534756 0.0013407591 0.0011925021 0.0020304765 0.0027073019 0.0017404084 0.0046475353 0.0023850042 0.0018370978 0.0012053939 0.00093466375 0.0024430177 0.0022045174 0.00060592 0.002700856 0.003899804 0.0068778363 0.0030618296 0.0016952867 0.0017597463 0.0016759488 0.00033518978 0.00067037955 0.0023140986 0.003306776 0.00097333954 0.0010764748 0.007225918 0.02054971 0.0035388304 0.004666873 0.002720194 0.008605353 0.013491388 0.00572401 0.00092177186 0.0014696782 0.0003158519 0.00093466375 0.00096689357 0.0017081787 0.0023850042 0.0016372731 0.000747731 0.0047506704 0.0010313531 0.002127166 0.0029393565 0.009959004 0.002842667 0.0016179353 0.0029844781 0.003764439 0.0031843027 0.00067037955 0.0047571165 0.0014374484 0.0035581684 0.004808684 0.003164965 0.0003158519 0.004795792 0.0039836015 0.0141102 0.008998556 0.0012311778 0.0012956373 0.0013343131 0.0012505157 0.00057369017 0.0003287438 0.0016050433 0.0020369224 0.000902434 0.0007928527 0.0033261138 0.0008702042 0.00025783828 0.0058851587 0.0016243812 0.008431312 0.00057369017 0.00017404085 0.0014503404 0.005898051 0.0006639336 0.01983421 0.0014696782 0.006613552 0.00044477105 0.0007219472 0.0012182859 0.00021271658 0.00014825701 0.0001804868 0.0011602723 0.0003738655 0.00025783828 0.0001353651 0.0009153259 0.00023850042 0.00014825701 0.0001804868 0.00096689357 0.0003287438 0.0002707302 0.00121184 0.0012053939 0.0004963387 0.00033518978 0.00042543316 0.00059302803 0.0005543523 0.00024494636 0.00010958127 0.00059302803 0.00023850042 0.00023850042 0.00025783828 0.00068327144 0.00021271658 0.00019337871 0.00024494636 0.00052212254 0.00014181106 0.0013085293 0.00088309613 0.0011667182 0.0004898927 0.0025139232 0.0007992987 0.0028168831 0.0005027847 0.0005092306 0.0003158519 0.0006317038 0.0003609736 0.00052212254 0.0003609736 0.005898051 0.0010764748 0.003919142 0.0026621802 0.00121184 0.00046410892 0.0015534756 0.0019273412 0.0011796101 0.0020240305 0.00030296 0.00035452764 0.0013923268 0.00045766294 0.0007348391 0.0003738655 0.0009797855 0.0004898927 0.0012762995 0.00044477105 0.00067037955 0.00023205446 0.0004963387 0.0003738655 0.0011860561 0.00035452764 0.00026428423 0.0010184612 0.0011409344 0.0002707302 0.00026428423 0.0003158519 0.0009540017 0.00032229786 0.00042543316 0.0003609736 0.001198948 0.00044477105 0.0004060953 0.0004060953 0.006104321 0.0024430177 0.0005479063 0.00269441 0.0025783828 0.00025783828 0.00036741956 0.00032229786 0.0022883147 0.0012053939 0.0019080034 0.0010764748 0.0012698536 0.00036741956 0.0035710603 0.001063583 0.0024816934 0.0007219472 0.00044477105 0.0007348391 0.0030940594 0.00097333954 0.0017855301 0.037032023 0.35333332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0062369793 4.8828126e-05 3.580729e-05 3.580729e-05 2.2786458e-05 2.6041667e-05 3.580729e-05 2.2786458e-05 2.9296874e-05 3.2552084e-06 3.2552085e-05 2.6041667e-05 2.2786458e-05 4.5572917e-05 2.6041667e-05 1.6276043e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013658854 0.0009733073 0.00045898437 0.0015950521 0.0005273438 0.00025716145 0.00044596355 0.00023111979 0.0005143229 0.00013671875 9.440104e-05 0.000107421874 0.00013671875 0.00013346355 0.00013671875 0.00059244793 0.017991537 0.0005338542 0.0003515625 0.00041666668 0.0028385418 0.0021614584 0.008079427 0.0035742188 0.0003190104 0.00013346355 0.00016601563 0.0005501302 0.00013346355 0.00016927083 0.00014322916 0.002438151 0.0023763021 2.9296874e-05 3.90625e-05 4.5572917e-05 0.0007747396 0.0002669271 0.0019824218 0.0008984375 4.2317708e-05 2.6041667e-05 2.9296874e-05 2.6041667e-05 3.90625e-05 2.6041667e-05 2.9296874e-05 3.580729e-05 0.01148112 0.0008984375 0.00081380206 0.0004361979 0.0038378907 0.0039973957 0.010791016 0.0056998697 0.00029296876 0.00017578126 0.00022786458 0.0007454427 0.00013997396 0.00014648438 0.00012695312 0.00018880208 0.02758138 0.0023990886 0.004127604 0.016559245 0.0073470054 0.013873698 0.018020833 0.009967448 0.0025097656 0.0015234374 0.0015917969 0.0027766926 0.001953125 0.0015071614 0.0017154948 0.006546224 0.00875651 0.0009700521 0.0008235677 0.0009342448 0.0011914063 0.0047753905 0.0026985677 0.0019075521 0.0005533854 0.00044270835 0.0005045573 0.0011653646 0.0005403646 0.00041341147 0.000390625 0.00059895834 0.04930013 0.011621093 0.0072070314 0.009238281 0.012298177 0.03514323 0.005358073 0.015738932 0.037711587 0.003531901 0.0021289063 0.0055078124 0.014785157 0.0044270833 0.011360677 0.034641925 0.021328125 0.005611979 0.0036848958 0.004505208 0.005999349 0.016009115 0.0034375 0.0075097657 0.016009115 0.001780599 0.0013997395 0.0023795574 0.00726888 0.0024283854 0.005625 0.015022786 0.0003190104 0.00060546875 0.00046875 0.000390625 0.00057942705 0.0005891927 0.0003515625 0.0007747396 0.00046223958 0.00018229167 0.0002636719 0.00037434895 0.00044921876 0.00033854166 0.00026041668 0.00025716145 1094.0 13.676416 14962.0 0.01797888 0.0014703916 0.0010025398 0.00066835986 0.0034754712 0.0010693758 0.0007351958 0.0009357038 0.0026734394 0.00033417993 0.0004678519 0.0014035556 0.0030076194 0.0010693758 0.003876487 0.00080203183 0.0072851223 0.0027402753 0.0072851223 0.0057478948 0.004745355 0.0055473866 0.005012699 0.004277503 0.0064830906 0.0058147307 0.0054805507 0.007017778 0.008688678 0.007084614 0.0038096511 0.003675979 0.0030744553 0.014770753 0.0038096511 0.02031814 0.013901885 0.0064162547 0.0072182864 0.009423873 0.005280043 0.00982489 0.00060152385 0.0025397674 0.00882235 0.0064830906 0.0014703916 0.007686138 0.008889186 0.02446197 0.011094773 0.0176447 0.00982489 0.014436573 0.016508488 0.02746959 0.0016040637 0.0011362117 0.00033417993 0.0013367197 0.0020050795 0.0013367197 0.0016040637 0.0017377356 0.0018714076 0.046049993 0.009223366 0.019716615 0.021588024 0.09303569 0.0064162547 0.014770753 0.012030478 0.034821548 0.004678519 0.0052132066 0.041170966 0.011696298 0.03308381 0.044044916 0.014369736 0.00080203183 0.041371476 0.03408635 0.06569977 0.013835049 0.004010159 0.007686138 0.008688678 0.00815399 0.0022724234 0.00080203183 0.0022724234 0.00040101592 0.0007351958 0.00066835986 5.646619 0.0 0.0 0.0 2.0 155136.0 172032.0 1.0 53.0 73.0 1.0 1.0 0.0 0.0 0.0 1441540700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 59392.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59392.0 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 -6.116953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5582685 0.0 0.0 -0.5866217 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5249188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.55525 0.0 4.664622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20141.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59006.0 0.0 9032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 0.0 -1.0 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 -1.0 -1.0 1.0 0.0 -1.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 3.0 1.0 -1.0 0.0 0.0 1757.0 83920.0 40.0 82236.0 9032.0 90112.0 0.0 0.0 0.0 0.0 4860.0 102400.0 28.0 65888.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 78904.0 0.0 0.0 296.0 65536.0 192.0 79268.0 0.0 0.0