Input: 0.5588027 0.0015884163 0.001372099 0.0011254766 0.0010606858 0.00061342126 0.0010032103 0.00076808286 0.00056326075 0.0006489516 0.0011244315 0.0006071512 0.00082242343 0.0006761219 0.0005392255 0.0009185644 0.0007628578 0.00058834103 0.0005204153 0.0009060243 0.0010460557 0.0004702548 0.00053295546 0.001467195 0.00069075206 0.0010356056 0.00050996523 0.0008673589 0.0005967011 0.0007607678 0.0006061062 0.0010826311 0.003312684 0.00042218433 0.0004995151 0.00068657205 0.0004671198 0.082486875 0.00057893596 0.0005162353 0.0006719419 0.00058834103 0.0005653508 0.00056430575 0.00071687734 0.0020168705 0.0006740319 0.00063850154 0.0010073903 0.00048279495 0.0005287754 0.00065731176 0.00051205524 0.00048801998 0.0005935661 0.00047652487 0.00069179706 0.0007043372 0.00073986757 0.00048592998 0.00047338984 0.0005559457 0.0005967011 0.0010889012 0.00084541366 0.0005663958 0.0004409945 0.0005381805 0.00050265016 0.00044308454 0.00076599285 0.0005716208 0.0005747559 0.0006040162 0.000391879 0.000493245 0.00054131553 0.0004922 0.0004974251 0.0005183253 0.0005716208 0.00041382425 0.00043785947 0.0006228264 0.00047756988 0.00034276352 0.0003814289 0.0005235504 0.00042113932 0.00041486925 0.0004023291 0.0004942901 0.00042218433 0.000491155 0.00054236053 0.0009102043 0.00066358177 0.0008119733 0.00043367944 0.00073568756 0.0005465406 0.0014055393 0.00058625103 0.00069179706 0.00050265016 0.0009948502 0.00041068922 0.0006040162 0.00084332365 0.0008861691 0.0009394646 0.001567516 0.00087571895 0.00045457965 0.0009854451 0.0011077113 0.0013961343 0.00079629815 0.000489065 0.00059252104 0.0019290898 0.0005987911 0.00045457965 0.000880944 0.00055908074 0.00056117075 0.00068761705 0.0009875351 0.0011202515 0.00055803574 0.00038665396 0.00048801998 0.00042322933 0.0003417185 0.00048488498 0.0005225054 0.00041277922 0.00038247393 0.0003239533 0.00040964418 0.0004002391 0.00043263444 0.00047756988 0.0010878561 0.00047443487 0.00047547987 0.00030723316 0.00043576947 0.00041173422 0.00033753845 0.00038665396 0.0004974251 0.00043158943 0.000493245 0.0004566697 0.00051205524 0.0004974251 0.00050474016 0.0004786149 0.00068970706 0.00048174994 0.00041277922 0.00040441914 0.00051310024 0.00053609046 0.0004294994 0.0012581929 0.0004587597 0.00040964418 0.00039292403 0.00034694356 0.0004284544 0.000390834 0.00036888878 0.00058102596 0.00058625103 0.00047443487 0.00045457965 0.00039501404 0.0005402705 0.0004200943 0.00044935461 0.00048697498 0.00054236053 0.00042218433 0.00039814907 0.0005183253 0.00050683017 0.00048801998 0.00046293973 0.0005475856 0.0008067483 0.0010094803 0.000491155 0.00040650915 0.00047338984 0.00032813335 0.0004012841 0.00039396904 0.00053609046 0.00053504546 0.0003521686 0.00045144462 0.00042740937 0.0004974251 0.0005674408 0.0004963801 0.0008088383 0.0004963801 0.000493245 0.0005496756 0.00047547987 0.00042531936 0.00039605907 0.00043263444 0.0007231474 0.00042322933 0.0005172803 0.00061028625 0.0005538557 0.0005956561 0.0005653508 0.0004598047 0.00066880684 0.0008036132 0.00051101024 0.00043263444 0.0011442867 0.0004399495 0.00043472444 0.0004995151 0.00057893596 0.0005935661 0.0005465406 0.0004671198 0.00062073633 0.0004796599 0.00044621958 0.00048383995 0.00058102596 0.00085377373 0.00045144462 0.00063745654 0.0005235504 0.0005967011 0.00058834103 0.0005005601 0.00058520597 0.00098649 0.00063118647 0.00066149177 0.0005758009 0.0011233866 0.00073673256 0.08303759 0.11752295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018819501 2.0933815e-06 8.373526e-05 1.2560289e-05 4.186763e-06 2.0933815e-06 0.0 0.0 0.0 0.0 0.0 0.0 2.0933815e-06 8.373526e-06 0.0 0.00014653671 0.016012799 4.186763e-06 0.0010843717 7.693177e-05 1.5700361e-05 8.373526e-06 5.2334536e-07 1.7793744e-05 4.186763e-06 5.2334536e-07 2.0933815e-06 1.6747052e-05 1.5700361e-06 4.867112e-05 5.2334536e-07 0.0019976094 0.22093391 0.0013266805 0.025617234 0.00036267834 0.0002904567 6.437148e-05 3.977425e-05 0.00050241157 0.00015962035 0.0 0.000304587 5.547461e-05 5.3904576e-05 0.00018631096 0.0001983479 0.05751409 0.2511074 0.0022195077 0.044475462 0.0007185532 0.000406116 9.315548e-05 0.00018735765 0.0010451208 0.00044432023 1.0466907e-06 0.00025120578 8.321192e-05 0.0002695229 0.00021143154 0.00045688052 0.1031744 0.057837516 0.00075309403 0.016231034 0.00015177016 7.065163e-05 2.6690615e-05 4.971781e-05 0.00018997438 0.000103622384 0.0 0.00038413552 1.8840434e-05 3.5064142e-05 7.065163e-05 0.00016119039 0.035384428 0.0028794464 0.0001130426 0.00018160084 0.000104145736 0.00031767067 0.00034383792 0.0018034482 0.0011775271 1.6223707e-05 5.233454e-06 1.0990253e-05 8.373526e-06 1.6747052e-05 4.7101084e-06 1.0466908e-05 0.00050921505 0.0069720075 0.00051601854 0.00058300677 0.00022765524 0.00040297594 0.00032813757 0.0014172193 0.0013067934 7.588508e-05 3.5587487e-05 7.95485e-05 4.3437667e-05 5.756799e-05 3.4540797e-05 4.657774e-05 0.00073477696 0.0016951157 0.00014496667 0.00014549002 0.00010676246 6.3848136e-05 7.5361735e-05 0.00042443312 0.00020933816 8.635199e-05 2.2503851e-05 2.0933816e-05 2.721396e-05 2.3027198e-05 1.5177016e-05 2.5120578e-05 0.00012978965 0.0007138431 2.3027198e-05 9.0015405e-05 7.274501e-05 0.000103622384 0.00010205235 0.0006018472 0.00033337102 1.8317089e-05 7.3268357e-06 7.850181e-06 1.5177016e-05 1.0466908e-05 2.0933815e-06 5.7567995e-06 3.6110832e-05 0.00090224744 0.00012560289 0.00010990253 8.111854e-05 6.646486e-05 7.693177e-05 0.000375762 0.00018003081 7.6408425e-05 2.3027198e-05 2.5120578e-05 3.1924068e-05 1.9887126e-05 1.2560289e-05 1.9887126e-05 1.6747052e-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 0.00039983587 2.7737306e-05 7.7455115e-05 5.442792e-05 4.0297597e-05 4.186763e-05 0.000116706025 7.0128284e-05 2.4597233e-05 2.4073888e-05 3.297076e-05 2.3027198e-05 2.6690615e-05 2.616727e-05 2.721396e-05 5.8614685e-05 0.00021143154 3.6634177e-05 4.082094e-05 4.1344287e-05 4.2390977e-05 5.7044646e-05 7.1174974e-05 5.7044646e-05 4.082094e-05 3.7157522e-05 5.8614685e-05 4.4484357e-05 4.5007702e-05 3.6634177e-05 4.5531047e-05 0.00020567473 0.010450684 0.0071447114 0.0067600524 0.008050622 0.0069615403 0.0066496264 0.0074042906 0.008184075 0.007211176 0.007244147 0.006832274 0.007553967 0.0076256655 0.007741325 0.008076266 0.010439694 722.0 12.590028 9090.0 0.014741474 0.0029702971 0.004180418 0.002860286 0.004290429 0.001870187 0.002530253 0.002860286 0.002420242 0.001430143 0.002750275 0.00220022 0.006710671 0.004290429 0.017931793 0.002310231 0.011111111 0.0066006603 0.0029702971 0.005830583 0.0059405942 0.005060506 0.0029702971 0.004510451 0.001430143 0.0040704072 0.003520352 0.002640264 0.00440044 0.007040704 0.005060506 0.003080308 0.00440044 0.009130913 0.006490649 0.008910891 0.0118811885 0.004180418 0.006160616 0.005610561 0.005280528 0.008470847 0.001980198 0.003080308 0.003960396 0.0059405942 0.003190319 0.003960396 0.00770077 0.003080308 0.006820682 0.01760176 0.012541254 0.00220022 0.004840484 0.004840484 0.003190319 0.00220022 0.002090209 0.0029702971 0.0033003301 0.002750275 0.002420242 0.023872387 0.003410341 0.033333335 0.015071508 0.02310231 0.013641364 0.08228823 0.008690869 0.014961496 0.005170517 0.045324534 0.003960396 0.007590759 0.03212321 0.027282728 0.039383937 0.05082508 0.015181518 0.0033003301 0.04268427 0.036743674 0.0669967 0.02849285 0.0066006603 0.008910891 0.0066006603 0.014411441 0.0033003301 0.002750275 0.001870187 0.002420242 0.003080308 0.002860286 5.7474527 1.0 0.0 0.0 5.0 956928.0 983040.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1490559500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 683520.0 512.0 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 -683520.0 0.0 272384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5464802 0.0 1.7378858 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 -683348.0 0.0 272104.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 691451.0 272104.0 696320.0 0.0 0.0 0.0 0.0 12.0 974848.0 28.0 691260.0 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: 0.39910015 0.020228794 0.024809338 0.0021972656 0.00945173 0.0042201453 0.003080822 0.0018368675 0.0053129653 0.005219959 0.035691034 0.0011858259 0.0014183407 0.0012904576 0.0020228794 0.0027553013 0.0010811941 0.0018833706 0.0023484002 0.0016741072 0.0013485863 0.0012207031 0.001546224 0.0037551154 0.00109282 0.0018717448 0.0011160715 0.001906622 0.0010346912 0.0011160715 0.0007905506 0.004638672 0.004673549 0.00074404763 0.00091843377 0.0028366814 0.00055803574 0.00080217636 0.00086030504 0.0008370536 0.016578311 0.0048828125 0.0015113468 0.0018484934 0.0032087055 0.0037086124 0.0029296875 0.000453404 0.0017089844 0.0023367745 0.0015578497 0.0056036087 0.0010463169 0.0009765625 0.0009416853 0.0008254278 0.0034760975 0.0010114397 0.0029761905 0.0006161644 0.00055803574 0.00062779017 0.00036039806 0.00032552084 0.00081380206 0.0029413132 0.0018833706 0.0028483074 0.0021042596 0.003859747 0.0027087983 0.00080217636 0.0011625744 0.0037667411 0.00015113468 0.0023600261 0.0043480285 0.0021507626 0.0027436756 0.0006859189 0.0046619233 0.00040690103 0.00281343 0.005591983 0.0036039806 0.00453404 0.00084867934 0.0011160715 0.0006394159 0.00031389509 0.00016276042 0.00025576638 0.00013950893 0.00017438616 0.00012788319 0.0071382066 0.00054641 0.017275855 0.0034644718 0.0054641 0.006847563 0.031110492 0.001860119 0.0067429314 0.0055687316 0.018252417 0.00086030504 0.0016508556 0.011114212 0.0062430245 0.014102028 0.031808037 0.012951079 0.0006045387 0.025623139 0.013625372 0.022798084 0.00516183 0.0013834635 0.0018949963 0.0018484934 0.003406343 0.0008951823 0.004871187 0.0005812872 0.0027204242 0.00018601191 0.00011625744 0.0006626674 0.0005347842 0.0001046317 0.00017438616 0.00019763765 0.00012788319 0.0008951823 0.00011625744 0.00015113468 0.00018601191 0.00015113468 0.00012788319 0.0006161644 0.00030226936 0.00018601191 0.0001046317 0.0022437687 0.00024414062 0.00015113468 0.00018601191 0.00011625744 0.00022088914 0.00016276042 0.0002906436 0.00023251488 0.00038364955 9.3005954e-05 0.00025576638 0.0021623883 0.0002092634 0.00011625744 0.00012788319 0.00022088914 0.00022088914 0.00056966144 0.00017438616 0.00011625744 8.138021e-05 0.0002092634 0.00012788319 0.00011625744 9.3005954e-05 0.00018601191 0.00022088914 0.00016276042 0.00031389509 0.00011625744 0.00017438616 0.00018601191 0.00012788319 0.00012788319 0.00013950893 0.0002092634 0.0002092634 9.3005954e-05 0.00017438616 0.0023018974 0.0022553944 0.00012788319 0.00017438616 0.00017438616 0.00018601191 0.00012788319 0.00017438616 0.00011625744 0.00019763765 0.0001046317 8.138021e-05 0.0002092634 0.00016276042 0.00017438616 0.00013950893 0.0001046317 5.812872e-05 6.975447e-05 9.3005954e-05 6.975447e-05 0.00011625744 4.6502977e-05 0.00012788319 0.0002673921 0.00012788319 5.812872e-05 0.010160901 0.0003952753 0.00055803574 0.002220517 0.0021972656 0.0001046317 0.00052315847 0.00025576638 0.00024414062 0.0002092634 0.00018601191 0.00016276042 0.0001046317 0.00019763765 0.00016276042 5.812872e-05 6.975447e-05 0.0001046317 0.00044177828 0.00012788319 0.00025576638 0.002046131 4.6502977e-05 9.3005954e-05 0.00016276042 9.3005954e-05 0.0022088913 9.3005954e-05 0.0001046317 0.00013950893 0.00013950893 4.6502977e-05 0.00013950893 0.00012788319 6.975447e-05 0.00013950893 5.812872e-05 0.00019763765 9.3005954e-05 0.00013950893 0.0001046317 6.975447e-05 3.4877234e-05 0.00012788319 0.00074404763 0.10839844 0.0 0.0 2.3531626e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1765813e-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 0.011301064 7.059488e-05 0.00014707267 1.764872e-05 0.00010589232 3.529744e-05 0.0001764872 8.82436e-05 1.764872e-05 1.1765813e-05 1.1765813e-05 2.3531626e-05 1.764872e-05 5.8829064e-06 5.8829064e-06 1.1765813e-05 0.021378482 2.3531626e-05 0.00020001883 0.00030591115 0.00032944276 0.00020001883 0.001129518 0.0004353351 3.529744e-05 0.0 1.1765813e-05 2.3531626e-05 0.0 0.0 1.1765813e-05 1.1765813e-05 0.019837162 0.0010236257 0.00101186 0.00014707267 0.000111775225 5.294616e-05 0.000376506 0.001129518 0.00012354105 4.706325e-05 0.000111775225 4.706325e-05 2.3531626e-05 1.764872e-05 2.3531626e-05 1.1765813e-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 0.05918204 0.00097067957 0.002464938 0.00078242656 0.012148202 0.012189383 0.05972915 0.032879565 8.82436e-05 7.647779e-05 4.1180345e-05 5.294616e-05 4.1180345e-05 2.3531626e-05 2.9414534e-05 2.3531626e-05 0.102650836 0.003918016 0.009206749 0.009400885 0.0145837255 0.015813254 0.08016637 0.044986587 0.0007647779 0.0005882907 0.00055887614 0.00390625 0.00020001883 0.0020413685 0.0001823701 0.000188253 0.17316335 0.020266613 0.026967244 0.011230469 0.0071947947 0.0021001976 0.018754706 0.017701667 0.0024355233 0.0057887803 0.0019060618 0.0023649284 0.0010765719 0.015524991 0.005247553 0.0015295558 0.006047628 0.0010412745 0.0014295463 0.0004529838 0.00022943335 0.00072359754 0.0004353351 0.0002588479 0.000441218 0.0001764872 0.00014707267 0.00010000941 0.00021178465 9.41265e-05 0.00012354105 0.00013530685 0.012824737 0.001382483 0.0063476562 0.0028708584 0.00094714796 0.0017707549 0.0039297817 0.0022884507 0.00077066076 0.00058240775 0.0003412086 0.00032944276 0.00030591115 0.0002647308 0.00071183173 0.00047651544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 741.0 20.604588 15268.0 0.00065496465 0.00013099292 0.00013099292 0.00032748232 0.0005239717 0.0 0.0 0.0 0.0 0.0 6.549646e-05 0.0005239717 6.549646e-05 0.0005239717 0.0017684045 0.0 0.0037332985 0.009758973 0.0034058162 0.0027508514 0.0033403197 0.0030128374 0.0032093266 0.0028818443 0.0024888655 0.0021613834 0.0 0.0 0.00013099292 0.00019648939 0.00013099292 0.0 0.00013099292 0.0041262773 0.005239717 0.009169505 0.00648415 0.012182342 0.0070081213 0.0022923762 0.0030783338 0.01185486 6.549646e-05 6.549646e-05 0.013623265 0.0062876604 0.007466597 0.0013754257 0.014409222 0.00065496465 0.009300497 0.018600995 0.012247839 0.009889966 0.0022923762 0.003929788 0.0018993975 0.00019648939 0.0 0.0 0.0 0.0 0.0 0.038970396 0.00019648939 0.057505894 0.01074142 0.017749542 0.028228976 0.118024625 0.004912235 0.025609117 0.01702908 0.064252034 0.00019648939 0.00425727 0.037070997 0.022530783 0.04643699 0.04761593 0.013295782 0.00026198584 0.05717841 0.048008908 0.08835473 0.017094577 0.00425727 0.0056981924 0.005894682 0.010544931 0.0021613834 6.549646e-05 0.0 6.549646e-05 0.0 0.0 4.990133 0.0 0.0 0.0 1.0 86016.0 98304.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1418797400.0 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 8.0 0.0 4.0 0.0 4.0 0.0 73728.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3880677 0.0 3.0465674 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 -71380.0 0.0 680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 79480.0 680.0 81920.0 0.0 0.0 0.0 0.0 12.0 90112.0 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: 0.12145425 0.010424705 0.0070540025 0.008070393 0.0073201577 0.0059822374 0.0033474807 0.003783332 0.012096659 0.0022060506 0.0020077738 0.0016487325 0.006493112 0.0033063963 0.0015469147 0.008591986 0.007566664 0.0016112207 0.0012950499 0.00182736 0.0057768156 0.0023578838 0.0012253851 0.0011968047 0.0038190575 0.0017487638 0.0011825145 0.0012164537 0.0032152962 0.0011843008 0.0010699792 0.0013647146 0.004474621 0.0010092458 0.0015272658 0.0011521478 0.019059561 0.002416831 0.0010163909 0.0010914145 0.0021881878 0.0013575695 0.0010146046 0.005169482 0.0017148247 0.0011735831 0.0010789105 0.0009485124 0.003874432 0.00226857 0.0022006917 0.0062716138 0.0027901626 0.004751493 0.0022667837 0.0023060818 0.0032510217 0.0031706393 0.002423976 0.004937266 0.002690131 0.0023757466 0.0021131642 0.0021685387 0.0043192147 0.002300723 0.0017969933 0.0019059562 0.010356827 0.020502873 0.0031134784 0.013289891 0.002831247 0.0014468833 0.0014647461 0.0012164537 0.004321001 0.0070736515 0.0015862128 0.0012861185 0.0065806396 0.003220655 0.0013432793 0.0030598904 0.0026847722 0.0044406815 0.0033992827 0.00303131 0.0023364485 0.00443175 0.0014379519 0.0017684129 0.0036833005 0.0049211895 0.0022524938 0.0019363229 0.0020845837 0.0016505187 0.0010503301 0.0015201207 0.0039869673 0.0036636514 0.0025186487 0.0011950184 0.006103704 0.0051659094 0.005514233 0.0024275486 0.0022917916 0.0012932636 0.0017058933 0.001879162 0.0024061133 0.0009824516 0.0026026038 0.00216318 0.008334762 0.008270456 0.0016737403 0.0016898168 0.0023882505 0.0013647146 0.0010217497 0.0010539027 0.0020881563 0.002616894 0.0017273286 0.0014933265 0.0031188373 0.0017862757 0.0011878733 0.009778073 0.003635071 0.012616465 0.0012521793 0.0011092772 0.002500786 0.012103804 0.001529052 0.029787933 0.0017326875 0.011049901 0.0011253537 0.0011789419 0.0021363858 0.0010146046 0.0010860557 0.0013468518 0.0013915087 0.001775558 0.0009324359 0.0011378576 0.0018255737 0.0011932321 0.0011039184 0.0010092458 0.0014843951 0.0023739603 0.0009842379 0.0013825773 0.0022239133 0.0022006917 0.0013361343 0.0016933894 0.001548701 0.0018291463 0.00095923006 0.0010217497 0.0018559404 0.001011032 0.0009502987 0.0011164224 0.0016898168 0.0010199634 0.00096637517 0.0033653434 0.0020292092 0.0010985596 0.0010271085 0.0011289263 0.0018988111 0.0022614251 0.0021721113 0.0017809168 0.003070608 0.001373646 0.0011164224 0.0011289263 0.0014343794 0.0017827031 0.0012771871 0.0011324987 0.00729515 0.005864343 0.0034421533 0.0034760926 0.0030420276 0.0011003459 0.0034957414 0.0056142644 0.005337392 0.003063463 0.0019774071 0.0012968362 0.0032492355 0.0011950184 0.0014183029 0.0013039813 0.0031134784 0.0016898168 0.0017219698 0.0014093715 0.002668696 0.0012736146 0.0016933894 0.0013236303 0.0029044843 0.0020131327 0.0011164224 0.0016058618 0.015070808 0.012836177 0.004063777 0.0017058933 0.0042084656 0.0018559404 0.0012200263 0.0010610478 0.0031367 0.0014754637 0.0010932008 0.0010717654 0.01364536 0.004828303 0.0012271714 0.0038333477 0.0057000057 0.0010932008 0.0012164537 0.0015754951 0.004660393 0.0014593872 0.0015397697 0.0014540284 0.0031849295 0.0021917603 0.0027722998 0.002106019 0.005907214 0.001807711 0.0020042013 0.0034314357 0.008181143 0.004036983 0.008247235 0.06770342 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.01056569 0.00045065224 0.0005536841 0.00038524944 0.0015642919 0.00051695097 0.0014084002 0.0008376935 0.0004622993 0.00038345758 0.0005124713 0.00081350346 0.00067732227 0.00052501436 0.00078931334 0.0015723552 0.0107395 0.0014290066 0.001499785 0.018543936 0.0024539493 0.0018285909 0.0024888904 0.0021072247 0.002028383 0.0015669797 0.0016816586 0.0018438217 0.0019217675 0.0019307268 0.001965668 0.0046857083 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058370665 0.015331135 0.021611597 0.01040711 0.03268707 0.020397613 0.013045621 0.013566155 0.0374561 0.0032558057 0.0057276734 0.00499122 0.019472118 0.020557089 0.016534368 0.031359304 0.013886002 0.010725165 0.010666033 0.010540604 0.010962586 0.010476992 0.010620341 0.010337228 0.011278849 0.010923165 0.010696495 0.010800423 0.01043578 0.010521789 0.010652594 0.01078788 2005.0 10.401496 20855.0 0.020810356 0.0038360106 0.005466315 0.0037401102 0.013282186 0.00364421 0.0041716616 0.006521218 0.006233517 0.0033565091 0.0046032127 0.005466315 0.006808919 0.0045073126 0.006041717 0.0048909136 0.024310717 0.01783745 0.017070247 0.018652601 0.019659555 0.019180052 0.016590746 0.0180772 0.019803405 0.019036202 0.01822105 0.018892352 0.01793335 0.015679693 0.015583793 0.01438504 0.007672021 0.008151523 0.005082714 0.009302326 0.0106449295 0.006281467 0.0070486693 0.007863821 0.008391273 0.005706066 0.0035483097 0.0041237115 0.008151523 0.005706066 0.0045073126 0.007000719 0.013426037 0.0070966193 0.005897866 0.011460082 0.009637976 0.005754016 0.0077199712 0.009494126 0.005562215 0.005082714 0.0049388637 0.0044593625 0.0070486693 0.004315512 0.004027811 0.00733637 0.007624071 0.017166147 0.008439223 0.016734596 0.016015343 0.03581875 0.007959722 0.008535123 0.011412132 0.01783745 0.008103572 0.005945816 0.0180772 0.009398226 0.017453847 0.02224886 0.009398226 0.00359626 0.023399664 0.0177895 0.03207864 0.011795732 0.005514265 0.006233517 0.009302326 0.007815871 0.0046032127 0.0038839607 0.006521218 0.0035483097 0.0034044595 0.0056101657 6.3212137 0.0 9.0 0.0 6.0 559824.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 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 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553840.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.124688834 0.01571594 0.008483282 0.008350974 0.0135703115 0.0048117377 0.004951571 0.0047706105 0.013646616 0.0031822154 0.0028885477 0.0028710468 0.008367426 0.0023166134 0.0023645663 0.01588815 0.015090628 0.0019447163 0.0018328846 0.0016484236 0.0058460496 0.0022102073 0.0018416351 0.0015166407 0.005284266 0.0014933643 0.001304878 0.0014506618 0.0043278337 0.0013579061 0.002491624 0.0016956764 0.0058007217 0.001354231 0.0012161477 0.0014756883 0.019198649 0.0015043899 0.0011597944 0.0013750573 0.0026969113 0.0014130345 0.0012585003 0.0026722348 0.0026862356 0.0015584682 0.0027571148 0.001640198 0.0045429217 0.0018199339 0.0021342526 0.0055952594 0.002977453 0.0018923882 0.0019370158 0.001705652 0.0035142102 0.0029702776 0.0016603243 0.0050264755 0.0028663215 0.001872787 0.0018635114 0.0021489535 0.005247864 0.003076684 0.0019412161 0.0023278142 0.007326113 0.009066242 0.005634112 0.0024779732 0.0044069383 0.0021762552 0.0012686509 0.001303653 0.0062070964 0.005318568 0.0033419998 0.001790532 0.0106730135 0.004196576 0.002945251 0.0047219573 0.0044060634 0.003845855 0.005949481 0.005046602 0.0023491655 0.0032222928 0.0010616134 0.0026494835 0.0029667774 0.004130072 0.0045752986 0.0034009784 0.002438421 0.0029333504 0.001370332 0.0019121644 0.0025824544 0.0043169833 0.0039368602 0.001555843 0.0046969308 0.002827119 0.0056582633 0.001321679 0.0033519755 0.0014951144 0.002812768 0.0035206855 0.0028881978 0.0013726071 0.00300843 0.0026491333 0.011170393 0.009237402 0.0021099262 0.0015308165 0.0022676105 0.0015241661 0.0011349429 0.0011410683 0.003645643 0.0030675835 0.0024144445 0.0026857106 0.0038094528 0.0025793042 0.0011487687 0.013659392 0.004496369 0.007478197 0.0023316643 0.0012763513 0.0031738149 0.013840178 0.002126377 0.040457346 0.0018838126 0.010307416 0.0017023268 0.0010243362 0.001989519 0.0011030909 0.0009100544 0.0009478567 0.0015434173 0.0014405111 0.0013309546 0.0008207991 0.0014158346 0.0011774704 0.000802423 0.0008295496 0.0014599373 0.0009347309 0.0011802706 0.00089097826 0.0015934703 0.0011296925 0.0008130986 0.0011109664 0.0013752322 0.0012278734 0.00086210156 0.00083672506 0.001371032 0.0009314057 0.00085195096 0.0009069042 0.0012135225 0.00077494635 0.00078194676 0.0013955334 0.0019027138 0.00089955376 0.0008470506 0.0009462816 0.0014072591 0.00095555716 0.002758865 0.0014574871 0.0022884367 0.0011914712 0.000987409 0.0009912592 0.001470963 0.0010764893 0.0015647686 0.0014289605 0.0082352925 0.0049128938 0.004064443 0.004450166 0.005231938 0.0013524808 0.003179765 0.0042434786 0.0029144492 0.0029877787 0.0014648376 0.001806458 0.0117388265 0.001219473 0.0033848775 0.0021998815 0.0033215235 0.0018533608 0.0019996695 0.0016088712 0.0013297296 0.0011037911 0.0011058911 0.0013218541 0.003295972 0.004654228 0.0011618945 0.0022219329 0.001989169 0.0024538217 0.0013622815 0.0014035839 0.0032208925 0.001637223 0.0014457614 0.0010271365 0.001705827 0.0011319676 0.001119892 0.0011692449 0.016997717 0.0029998545 0.0013621064 0.0046740044 0.00351106 0.0014788384 0.0014273854 0.0013255293 0.0034888336 0.0023661414 0.0013008527 0.0017172027 0.002273561 0.0012171977 0.002808568 0.002357566 0.005462777 0.002577204 0.0018885379 0.0018626364 0.0040537673 0.0027742658 0.004010715 0.038475525 0.0064410414 4.551107e-06 1.7504257e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00089621794 0.0 0.0 7.0017027e-06 0.0010088579 1.03275115e-05 3.2382875e-06 3.5883727e-06 4.1135004e-06 8.7521286e-08 4.3760642e-07 7.001703e-07 6.12649e-07 2.6256384e-07 3.5008514e-07 1.7504257e-07 8.7521283e-07 1.7504257e-07 1.1377767e-06 4.0522355e-05 0.0026009576 4.4023207e-05 4.559859e-05 1.1640331e-05 1.5053661e-05 2.1530235e-05 5.863926e-06 1.3478278e-05 1.2077938e-05 8.664607e-06 9.452298e-06 4.2010215e-06 0.00016760326 6.3015327e-06 6.5640966e-06 7.413053e-05 0.0016296463 4.971209e-05 0.000103187595 1.2865629e-05 9.53982e-06 1.1377767e-05 2.9757236e-06 3.675894e-06 6.5640966e-06 6.8266604e-06 2.8882025e-06 2.3630746e-06 4.901192e-06 7.964437e-06 1.9254683e-06 0.00011526553 0.0037560635 0.00013224466 0.00030649954 4.2010215e-05 3.3083044e-05 3.1682706e-05 3.203279e-05 1.8904597e-05 3.6408856e-05 4.1135005e-05 2.1267671e-05 2.2843056e-05 2.1442715e-05 8.0519585e-06 1.1115203e-05 0.00014554789 0.0031174207 0.00015281216 0.00023937071 0.00076064747 0.00034352104 5.6713794e-05 7.036711e-05 3.5621164e-05 2.310562e-05 1.5403746e-05 2.118015e-05 1.5841353e-05 2.109263e-05 1.6804086e-05 1.5403746e-05 0.0001135151 0.007840594 0.00071924995 0.00028523186 0.00067837746 0.00057265174 0.00013110689 0.00016296463 0.0001213045 0.00013495782 0.00011990416 8.6821114e-05 8.734624e-05 8.156984e-05 6.957942e-05 8.47206e-05 0.00047445289 0.008337103 0.00041826422 0.000355774 0.0007596848 0.0008551705 0.00019447229 0.0011993917 0.00092124904 0.00017372976 0.00019018375 0.000110889465 0.00010187478 0.00024593482 0.00011981664 0.00014476021 0.00092816324 0.012822131 0.0006460821 0.0008816019 0.0007269518 0.0018396974 0.00076554867 0.0042272783 0.0022213778 0.000353586 0.00042841668 0.00023586987 0.00025967567 0.00037082768 0.00024033345 0.0002322815 0.0013518537 0.0105871 0.00077071245 0.0010846513 0.00076309807 0.0017351095 0.00081184745 0.0042629866 0.0022297797 0.00042981704 0.00025179875 0.00019062136 0.00021801553 0.0005299414 0.00024155875 0.00031148826 0.0012133076 0.008702067 0.0015093045 0.0011854758 0.0010070199 0.001361131 0.0008051958 0.0032389 0.0017752817 0.00053685554 0.0002742917 0.0002360449 0.0002763922 0.00046578827 0.00035831213 0.00053142925 0.0013966647 0.011369978 0.0035980875 0.001689686 0.007578293 0.0020623517 0.0016552026 0.0033692194 0.0020697908 0.0018004879 0.0009644846 0.0008725872 0.0010175224 0.0012370258 0.0014706202 0.0016842596 0.0025505454 0.019722572 0.0037297197 0.0032746089 0.0025583347 0.0033523277 0.0029344137 0.004338693 0.0027735496 0.0058943834 0.0013867748 0.0009780504 0.0014709702 0.003178773 0.003077336 0.002325528 0.0065788 0.07178242 0.015208311 0.017131241 0.009682917 0.020751735 0.024531515 0.008758693 0.014570368 0.04794197 0.0039630514 0.0028918784 0.005400413 0.024619738 0.008148319 0.0147492625 0.024799157 0.058648888 0.016610052 0.015616247 0.012268209 0.022350574 0.02668559 0.009437946 0.017499005 0.046271455 0.0036966365 0.0040918826 0.0056576384 0.023996674 0.011002913 0.018650347 0.031050626 0.008471098 0.007735831 0.0075654276 0.007676317 0.0076305433 0.0075073135 0.0076225786 0.00759641 0.007693296 0.007424693 0.00742198 0.0076362323 0.0075550126 0.007420142 0.007487621 0.0077996342 25443.0 10.952914 278675.0 0.024200233 0.0020130978 0.0027487217 0.0016363147 0.020873778 0.002569301 0.0017726743 0.003190096 0.0050560688 0.0021279268 0.0014640711 0.003889836 0.00503095 0.008404055 0.0068143895 0.0029640263 0.023342604 0.01051404 0.010675518 0.0112891365 0.0108872345 0.009706647 0.009548757 0.008910021 0.011874047 0.012541491 0.0069435723 0.008734189 0.008479412 0.006491433 0.0053574955 0.0062079486 0.0045536915 0.0116623305 0.006907688 0.011874047 0.01464071 0.011396788 0.016653808 0.00471517 0.0062079486 0.007661254 0.0016291379 0.0021243384 0.011683861 0.0057019824 0.006010586 0.004733112 0.017884633 0.0068933344 0.010912353 0.01691935 0.01274603 0.0065524355 0.008289225 0.010987709 0.0054472056 0.0035130528 0.0017690859 0.0031434468 0.0057271016 0.004550103 0.0042737955 0.008321522 0.004169732 0.03257558 0.007987799 0.020489817 0.01827218 0.055372745 0.011493675 0.009502108 0.014812954 0.03070602 0.008669597 0.004320445 0.024584193 0.013068987 0.02815466 0.029457252 0.015171795 0.0018623845 0.029679734 0.025596125 0.046423253 0.014751951 0.0066564996 0.0049735354 0.0075428365 0.007937562 0.0018480308 0.00164708 0.004277384 0.0020669238 0.0019269759 0.0016542567 6.108793 3.0 36.0 7.0 19.0 5713944.0 5226496.0 1.0 0.0 311.0 0.0 1.0 0.0 0.0 0.0 1247481900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 802816.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -802816.0 0.0 4120576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8957763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.98047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5543456 0.0 6.840617 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -802816.0 0.0 4120576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -2.0 0.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 -1.0 1.0 0.0 1.0 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 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 1000424.0 4320784.0 1105920.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 808208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.09571885 0.014798847 0.007947667 0.0069089876 0.013633363 0.0042143892 0.0048651956 0.003673605 0.01918666 0.009821765 0.0030433112 0.001881557 0.0102394745 0.002254512 0.0016186238 0.013346188 0.024616882 0.0015067374 0.0011412418 0.00094917 0.0066982685 0.0030973896 0.0016465954 0.0010032484 0.00486706 0.00091560406 0.0010983519 0.0012307508 0.004141663 0.00067877775 0.0009398461 0.0011505656 0.004811117 0.000850337 0.0006414823 0.0009062802 0.019988513 0.0010442735 0.0007030198 0.00057621516 0.00210533 0.0005482436 0.000619105 0.002912777 0.0019505536 0.0007309914 0.0005724856 0.0007067494 0.002840051 0.00059859245 0.00068810163 0.008083795 0.0014974136 0.00085966085 0.0006731834 0.000816771 0.0027952963 0.0024409893 0.0010834337 0.0044679986 0.0034032126 0.0015552215 0.0010107076 0.0007198028 0.004507159 0.0031085783 0.0020158207 0.001700674 0.0072595654 0.012824051 0.0057826643 0.003194358 0.0026573031 0.00085966085 0.0011393769 0.00066013 0.003673605 0.007043252 0.0017678058 0.0008633904 0.013239896 0.0032633545 0.0011300531 0.004380354 0.0021761914 0.0049304627 0.008236707 0.0055365143 0.0014265522 0.0051933955 0.0006545357 0.0029948272 0.0016932149 0.00548803 0.0055327844 0.004091314 0.000990195 0.0006172402 0.0003449832 0.0004027912 0.0021277072 0.0012065088 0.0042554145 0.00035617183 0.005152371 0.00033192977 0.011783508 0.00047365262 0.0012531282 0.00037295482 0.00042143895 0.0005165424 0.0014731715 0.0005146776 0.0020978707 0.0016279478 0.016307449 0.01633542 0.0018629093 0.0014899544 0.0020587104 0.0009062802 0.0005370549 0.00070115505 0.0032223295 0.0034386434 0.0027990257 0.002069899 0.0054600583 0.0024298006 0.00057807995 0.02545976 0.0059803305 0.0165853 0.0012400748 0.0008969563 0.0024242064 0.014828683 0.0025025269 0.04487952 0.0012755054 0.016641244 0.0007421801 0.0005016242 0.00094544044 0.00027598656 0.00030022862 0.00028903998 0.00079998805 0.00077947555 0.000387873 0.0003095525 0.0008522017 0.0005594322 0.00032260592 0.0004158446 0.00091373926 0.0007384505 0.00040652073 0.0007104789 0.00090255064 0.0019673365 0.0012232917 0.0011468361 0.0011207293 0.0005295958 0.00037295482 0.00037854913 0.0010424086 0.0003375241 0.0004307628 0.00047924693 0.0012102383 0.00040652073 0.00033565934 0.0003449832 0.0012493986 0.00041397984 0.00036922525 0.00036922525 0.0010330848 0.0019897139 0.001806966 0.0015496273 0.002937019 0.0012083736 0.0006060516 0.00046992305 0.0013967158 0.0008540665 0.0015067374 0.000775746 0.012452961 0.003763114 0.0033081092 0.007431125 0.011199833 0.00078134035 0.004619045 0.0072259996 0.0039253496 0.0032614898 0.00077947555 0.0010573269 0.018019311 0.0006694539 0.0017939126 0.001749158 0.0020680344 0.0011412418 0.0014023101 0.0006246993 0.001534709 0.00043449237 0.0011542952 0.0007291266 0.0027598655 0.001378068 0.0004923004 0.002038198 0.0015701398 0.0014955488 0.0006041868 0.00075896305 0.0024484482 0.0009100097 0.0008205006 0.00049789465 0.0017137274 0.0023235085 0.0007160732 0.0007608278 0.026302638 0.004257279 0.0006843721 0.0066702967 0.0047607683 0.0008559313 0.0006265641 0.0005295958 0.0046638 0.0013892567 0.0005967277 0.00090068585 0.0017845888 0.0006321584 0.0037127652 0.0018125604 0.0054078447 0.0024130177 0.0023552096 0.0015086022 0.004029777 0.0036213913 0.006951878 0.0598089 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00088208664 5.0511855e-05 7.1090755e-05 6.0801303e-05 9.260506e-05 6.2672116e-05 6.734914e-05 8.792804e-05 0.00017117905 3.2739164e-05 2.6191332e-05 2.806214e-05 0.0001786623 1.8708093e-05 4.2093212e-05 4.3028616e-05 0.0054571507 0.0009419525 0.00072587404 0.00067910383 0.0010121078 0.0009110842 0.0005949174 0.0011636434 0.0035002844 0.0003199084 0.00017117905 0.00062391494 0.0015499656 0.00029371708 0.0008427996 0.0042009023 0.116116464 0.027098674 0.020499393 0.016554791 0.027256757 0.032580145 0.014767234 0.0277572 0.07080078 0.0039380537 0.005390737 0.009059395 0.04625202 0.007512235 0.023417857 0.047166847 0.08961177 0.027661787 0.018434955 0.01629288 0.030815037 0.03656684 0.015187231 0.028548552 0.06829296 0.0044197873 0.006631084 0.008835833 0.034145076 0.012385693 0.030681275 0.050416443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 994.0 6.3108654 6273.0 0.020564323 0.0041447473 0.0027100272 0.0020723736 0.07221425 0.0028694405 0.0038259206 0.001753547 0.013390722 0.0031882671 0.0036665073 0.0094053885 0.009883628 0.0033476804 0.0047824006 0.004941814 0.010361868 0.0027100272 0.0023912003 0.0074924277 0.0068547744 0.0011158935 0.0012753069 0.006695361 0.012434242 0.019767256 0.008927148 0.017216643 0.04798342 0.0041447473 0.0036665073 0.002231787 0.009086561 0.0051012277 0.0027100272 0.0074924277 0.0417663 0.0028694405 0.0060577076 0.007173601 0.011956002 0.001753547 0.00095648016 0.0038259206 0.009883628 0.0012753069 0.0025506138 0.0028694405 0.066953614 0.014666029 0.0051012277 0.041925713 0.0036665073 0.015622509 0.037143312 0.033955045 0.004463574 0.023433764 0.0028694405 0.024868485 0.0060577076 0.02470907 0.025665551 0.029013231 0.0014347202 0.0027100272 0.00095648016 0.0014347202 0.0033476804 0.0019129603 0.0074924277 0.00047824008 0.011477762 0.0020723736 0.02757851 0.0012753069 0.004304161 0.0015941336 0.0011158935 0.0014347202 0.0014347202 0.0012753069 0.0041447473 0.0038259206 0.06312769 0.02662203 0.0015941336 0.004463574 0.0020723736 0.0007970668 0.00095648016 0.0007970668 0.006535948 0.0027100272 0.0063765342 0.007173601 5.632307 0.0 0.0 0.0 2.0 536258.0 704512.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1426675800.0 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 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 12.0 0.0 5.0 1.0 5.0 1.0 534528.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -534528.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.3773503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.671977 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 -25280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90018.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -534235.0 0.0 6136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170.0 626736.0 140.0 626908.0 6136.0 667648.0 0.0 0.0 6752.0 671744.0 25280.0 675840.0 56.0 541648.0 0.0 0.0 0.0 0.0 24.0 596732.0 64.0 596656.0 0.0 0.0 716.0 540672.0 0.0 0.0 0.0 0.0


Input: 0.016820528 0.00587223 0.005243185 0.004788113 0.006757521 0.004050228 0.0039816666 0.0043124724 0.007899058 0.006458425 0.005143772 0.0048335344 0.0064532827 0.0037674145 0.0044915876 0.004687843 0.008082458 0.0051334877 0.006066771 0.004434168 0.006988057 0.0044153137 0.0045807166 0.0039396733 0.0053494545 0.0040725097 0.003729706 0.003015817 0.0054197293 0.0031409403 0.003200931 0.003012389 0.006312733 0.0052020485 0.004884955 0.0039405306 0.006210749 0.0051112054 0.0035445918 0.0041110753 0.0052628964 0.004971513 0.00408108 0.004717838 0.0047392636 0.0040236604 0.0035891563 0.0038865388 0.00453958 0.0034271816 0.004266194 0.003469175 0.004443595 0.003119515 0.002486185 0.0027501439 0.0048318203 0.0034880294 0.0036722864 0.0042002043 0.0041350718 0.0027107215 0.0030295292 0.0029635394 0.0053537395 0.0036748573 0.005232044 0.0045635765 0.0061104787 0.004698984 0.0041290727 0.0037562733 0.0061618993 0.0048266784 0.0050212196 0.0048206793 0.0047461195 0.0037194218 0.004537009 0.0042361985 0.0058165244 0.0039405306 0.0054480103 0.0046698456 0.0054540094 0.004506157 0.0042044893 0.004168495 0.0044847317 0.0035720163 0.003961099 0.0035188817 0.0042944755 0.0035848713 0.0035171676 0.0039688116 0.003448607 0.003188933 0.0035703022 0.0026867252 0.0051986207 0.003550591 0.0032309263 0.0026233066 0.003713423 0.003918248 0.0036260078 0.0032163572 0.003642291 0.0024801858 0.0029438282 0.0028735534 0.00458843 0.0030021048 0.0037836977 0.0036242937 0.005852519 0.005734252 0.003015817 0.0031846478 0.0040536555 0.0030698085 0.0029746804 0.0028229898 0.004078509 0.0033474797 0.0033466227 0.0033937583 0.005355453 0.0028949785 0.0030380993 0.0040176613 0.004976655 0.004351038 0.002676441 0.0029035488 0.005586846 0.00525604 0.004626138 0.0041890633 0.0035197386 0.0037939816 0.002749287 0.0024716158 0.0054488676 0.004170209 0.0041307868 0.0036602882 0.00463128 0.0042302 0.003362906 0.003813693 0.0036208658 0.003214643 0.002752715 0.0023302094 0.0039473865 0.003299487 0.0026190216 0.0030672376 0.0032172143 0.0031486535 0.0033646198 0.002580456 0.004515584 0.0041102185 0.0028855514 0.003280633 0.0038368322 0.0033363386 0.0031280853 0.0031992171 0.0037425612 0.002922403 0.0029481133 0.0032694917 0.0035317368 0.0027792824 0.0036585743 0.0027707121 0.0035668742 0.0033611918 0.0024081971 0.002932687 0.004408458 0.0030003907 0.0037836977 0.0032129292 0.003806837 0.0028572702 0.003020959 0.0033423377 0.0039242473 0.0025170373 0.0035274518 0.0028084207 0.0046647037 0.0030449552 0.0034923144 0.0031409403 0.0050357888 0.0035874425 0.0033260544 0.0029943918 0.0036208658 0.002210228 0.0026095945 0.0024639028 0.0036080107 0.0026010242 0.003994522 0.0034100413 0.004179636 0.0028118487 0.0030629525 0.0031726498 0.0039388165 0.0028161337 0.002477615 0.0024639028 0.0036799994 0.0028701252 0.0024501905 0.002564173 0.0039405306 0.0028161337 0.0034237537 0.002388486 0.0045601483 0.0027792824 0.0025427477 0.002477615 0.0051694824 0.0037742704 0.0030869488 0.0054325843 0.004183064 0.0024613317 0.0027998504 0.0026987235 0.0046552764 0.0029909636 0.00327292 0.002734718 0.0042216294 0.0026413037 0.0029712524 0.0030329572 0.004902095 0.003003819 0.0030012478 0.0029909636 0.004276478 0.0026558728 0.003284918 0.0043750345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002791098 1.5875577e-05 0.00015017437 0.00015575228 9.439532e-06 9.439532e-06 9.439532e-06 0.00015575228 9.010462e-06 9.010462e-06 9.010462e-06 0.00015489414 9.010462e-06 9.010462e-06 9.010462e-06 9.010462e-06 0.003370342 5.6208122e-05 0.00017420227 6.006975e-05 0.00079721137 0.0005067312 1.8020924e-05 2.8747665e-05 2.7031387e-05 3.0893014e-05 3.0463945e-05 4.3336033e-05 3.2609292e-05 3.861627e-05 3.218022e-05 2.5744179e-05 0.0017201402 8.452672e-05 5.964068e-05 9.868602e-05 0.0002501476 0.00012914996 2.274069e-05 4.80558e-05 6.5647655e-05 2.3169761e-05 1.6304646e-05 5.0630217e-05 1.4588368e-05 1.8879064e-05 1.4159298e-05 1.9737203e-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 0.0005243231 4.505231e-05 2.5315108e-05 3.647092e-05 8.581393e-06 8.152323e-06 1.0726741e-05 1.0297671e-05 0.00012786275 7.294184e-06 1.0297671e-05 1.0297671e-05 1.0297671e-05 1.5446507e-05 1.3730229e-05 1.4588368e-05 0.00043035686 8.1952305e-05 9.010462e-06 6.908021e-05 1.0726741e-05 9.439532e-06 7.294184e-06 2.40279e-05 0.00013644414 8.581393e-06 9.868601e-06 1.9308134e-05 1.0726741e-05 1.7162785e-05 1.5875577e-05 1.8879064e-05 0.0006075626 4.548138e-05 2.7889526e-05 7.5087184e-05 0.00018278367 0.00012185578 8.281044e-05 1.3730229e-05 0.00017978018 6.393137e-05 1.5017437e-05 3.0463945e-05 6.4789514e-05 1.6304646e-05 6.6076725e-05 0.00016390461 0.0011391799 0.00010383486 0.000112416245 0.000112845315 0.00012142671 9.439532e-05 0.00017591855 0.000103405786 0.00013301159 0.00012829182 4.934301e-05 3.904534e-05 0.0001059802 4.8484868e-05 5.749533e-05 0.00011112904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009104858 0.00024628598 0.00026130342 0.00014717088 0.00028189874 0.00014888716 0.00017420227 0.00015703948 0.00025529644 0.00021281854 0.000113703456 0.0001115581 0.0001441674 0.00010984183 0.00011928136 0.00012099764 0.08339183 0.07398834 0.073854044 0.05684958 0.07401366 0.06816887 0.053454783 0.059400402 0.061398577 0.057888787 0.05329989 0.052014824 0.05263869 0.049887497 0.054195788 0.054464813 7334.0 5.8131986 42634.0 0.017779237 0.012689403 0.013088145 0.009593282 0.01693484 0.012361026 0.008772342 0.009077262 0.01224375 0.012783225 0.008748886 0.011117887 0.011469719 0.008983441 0.008959985 0.0091007175 0.011680818 0.0078106676 0.012126472 0.0069193603 0.008748886 0.0066848057 0.006215696 0.006192241 0.012947413 0.009593282 0.00945255 0.008889618 0.010531501 0.006966271 0.0077872123 0.005723132 0.013369611 0.011070976 0.013862176 0.011610452 0.01895201 0.011657363 0.010250035 0.00919454 0.017333584 0.013181968 0.012009194 0.011094431 0.013088145 0.009851293 0.010672233 0.010695688 0.014894216 0.008420509 0.013416522 0.013158512 0.014495473 0.009992025 0.01151663 0.009640194 0.0112351645 0.008561242 0.009593282 0.0074119247 0.011493174 0.007857579 0.00820941 0.008913074 0.008045222 0.011188254 0.00945255 0.008092133 0.015785523 0.012126472 0.00666135 0.0077872123 0.010648778 0.012267205 0.008397054 0.006778627 0.011821551 0.008584698 0.009569827 0.009687104 0.013604166 0.007623024 0.013580711 0.011985739 0.016700286 0.0138387205 0.008725431 0.0074119247 0.009358727 0.0087019745 0.0062860628 0.0062626074 0.009546371 0.007365014 0.007060093 0.0063798847 6.532672 1.0 0.0 0.0 17.0 1166848.0 3747840.0 0.0 0.0 3.0 1.0 1.0 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 2161152.0 1024.0 4096.0 9.0 3.0 0.0 0.0 9.0 0.0 0.0 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 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -892928.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.20058191 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.4666834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8414044 0.0 0.0 -7.940463 0.0 0.0 0.0 0.0 0.0 0.0 -7.6416006 7.814244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -2162688.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 1368064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137.0 3745168.0 1366016.0 2375680.0 0.0 0.0 0.0 0.0 8.0 3744564.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2215936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0