Input: 0.009286404 0.004110527 0.003957367 0.0040177344 0.0041120527 0.003941727 0.003955841 0.0038784028 0.004084778 0.003852272 0.003870678 0.0038354874 0.0040198327 0.0038680076 0.0038371086 0.004023838 0.0039522173 0.0038392066 0.0038467408 0.003830433 0.0038773536 0.0038847923 0.0038101196 0.003810978 0.0038657188 0.0038118362 0.0038677217 0.0038366318 0.0038664818 0.0038204193 0.0038104057 0.0038379668 0.004118538 0.0038136481 0.003848934 0.0038224221 0.0039461134 0.003846264 0.0038205148 0.0038183213 0.0038827895 0.0038606643 0.003812313 0.0038868904 0.003882885 0.0038549423 0.0038389205 0.0038527488 0.003919506 0.003843403 0.0038555146 0.003977394 0.0038671494 0.0038309097 0.0038095475 0.0038160323 0.0038442612 0.0038456917 0.003837204 0.0039333343 0.0038352013 0.0038256645 0.0038197518 0.0038327216 0.003978157 0.0039824485 0.004096031 0.0039378167 0.003874588 0.004071617 0.003963089 0.0038749694 0.003890705 0.0038336753 0.0038285255 0.0038098334 0.0038633347 0.0039777756 0.003901291 0.0038681985 0.0039861677 0.003915501 0.003841114 0.0039073946 0.0038678169 0.0038915635 0.0039259912 0.003939724 0.0038467408 0.003915024 0.0038083077 0.0038514137 0.003834057 0.003906727 0.0038704872 0.0038959503 0.0038643838 0.0039461134 0.003846073 0.0038967133 0.0039263726 0.0040986063 0.0038751601 0.0038515092 0.003918171 0.0039698603 0.0039230348 0.003834915 0.0039359094 0.003899765 0.0039059639 0.0039222715 0.0039393427 0.0038655282 0.003988457 0.0039449693 0.004247761 0.0040878295 0.0038508414 0.0038653375 0.0038191795 0.003817177 0.0038254738 0.0038781166 0.0038523674 0.0038618087 0.0038486482 0.0038437843 0.0039292336 0.0038559914 0.003837681 0.0040841103 0.0038974762 0.003994751 0.0038256645 0.0038490295 0.0038555146 0.004039383 0.0038202286 0.0043925284 0.0038372993 0.0040914537 0.0038451194 0.003808403 0.003874588 0.0038232803 0.003805828 0.0038438798 0.0038360595 0.0038467408 0.003808689 0.0038499832 0.0038552284 0.003826046 0.003814125 0.0038614273 0.0037926673 0.0038118362 0.0038535118 0.0038565635 0.0038484572 0.003841877 0.0038347244 0.0037971498 0.0038324357 0.0038352967 0.0038218498 0.003815174 0.0038856505 0.00383358 0.0038038255 0.0037833215 0.0038043023 0.0038492202 0.0038350106 0.0037985803 0.0038345337 0.0038429261 0.003829193 0.0038181306 0.0038087845 0.0038825036 0.003850174 0.003853035 0.0039434433 0.0038363456 0.0038725853 0.0038070679 0.003839016 0.0038443566 0.0038442612 0.0038620948 0.0039857863 0.003876686 0.00388937 0.0039334297 0.0038858415 0.0038499832 0.0039186478 0.0039029121 0.0038925172 0.003846264 0.0037969588 0.003815937 0.0038784028 0.0038235665 0.0038321496 0.0038824081 0.0038470267 0.0038371086 0.0038240433 0.003854847 0.0038247108 0.0038389205 0.0038741112 0.00377388 0.003849125 0.003839016 0.0038277626 0.0038212775 0.0038006783 0.0038372993 0.003837681 0.0038209916 0.0038570403 0.0038176537 0.003831291 0.0038298606 0.0038487434 0.003846073 0.0038575171 0.0038338662 0.0042850496 0.0040311813 0.0038640022 0.003928757 0.0039135935 0.0038467408 0.0038249015 0.0038510324 0.003875351 0.0038676262 0.0038513183 0.0038666725 0.003855896 0.003835678 0.0038930892 0.0038508414 0.0038930892 0.003866577 0.0038184165 0.0038473129 0.003947735 0.003925419 0.0038902282 0.0052861213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001714874 1.144521e-06 1.144521e-06 8.107023e-07 8.583907e-07 9.060791e-07 1.8121582e-06 1.0014559e-06 5.4364746e-06 1.4306512e-06 9.537674e-07 1.4306512e-06 1.2875861e-06 1.3829629e-06 3.3381862e-06 9.060791e-07 8.183325e-05 1.144521e-06 3.81507e-07 9.060791e-07 4.2919537e-06 6.199488e-07 6.676372e-07 1.4306512e-06 4.768837e-07 2.7182373e-06 2.8613024e-07 4.2919535e-07 9.537675e-08 2.3844186e-07 3.338186e-07 1.8121582e-06 0.00023801267 6.1994883e-06 5.5318515e-06 1.9552233e-06 8.679284e-06 3.7673815e-06 4.196577e-06 4.339642e-06 6.0564234e-06 3.5289395e-06 2.0029117e-06 1.1922093e-06 1.0014559e-06 1.8598465e-06 1.144521e-06 3.5289395e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00085266813 1.9218414e-05 1.4211135e-05 7.057879e-06 0.00012351289 2.1650521e-05 1.9218414e-05 5.484163e-06 6.819437e-06 2.3510367e-05 3.2714222e-05 2.136439e-05 1.201747e-05 1.349581e-05 6.7240608e-06 8.998796e-05 0.00065685966 1.2637419e-05 5.3458665e-05 3.7864567e-05 5.488932e-05 2.0410624e-05 0.00013925004 7.4060044e-05 1.0443754e-05 6.104112e-06 3.3381862e-06 1.0205312e-05 7.439386e-06 1.2971237e-05 1.6595553e-05 5.5461576e-05 0.0015449602 2.5131772e-05 0.00024511822 9.4279916e-05 0.00011078009 5.3744796e-05 0.0007025928 0.00032671305 2.2127406e-05 1.1969782e-05 1.3305056e-05 5.298178e-05 4.2681095e-05 2.637167e-05 3.338186e-05 1.44972655e-05 0.00033458162 5.722605e-06 5.1646508e-05 4.2394964e-05 9.10371e-05 4.1012e-05 0.00021135487 0.00012046083 1.7787763e-05 3.1474326e-06 3.5289395e-06 8.440842e-06 1.0205312e-05 1.0014558e-05 1.1254456e-05 1.406807e-05 0.00027778477 1.3400433e-05 3.3477238e-05 2.1125948e-05 5.7750618e-05 2.1841275e-05 8.512375e-05 5.4698565e-05 2.4750265e-05 7.153256e-06 5.0549675e-06 1.3686563e-05 1.3877317e-05 1.15405865e-05 2.141208e-05 2.0982885e-05 0.00036629438 3.5337085e-05 4.9309776e-05 3.5337085e-05 7.482306e-05 2.5417903e-05 5.631997e-05 5.6653786e-05 7.0149596e-05 2.0267558e-05 2.1030572e-05 4.0821247e-05 2.7039307e-05 1.9552233e-05 6.037348e-05 0.00011559662 0.0019126376 0.00026405053 0.00029886304 0.00031145275 0.0007218589 0.00053339446 0.00021683903 0.0004907611 0.0011053688 9.118017e-05 6.666835e-05 0.00024273382 0.00046863363 0.0001496938 0.00061618147 0.0012996035 0.0009948271 0.00020815975 0.00013233523 0.00020715829 0.0004142212 0.00039433516 0.0001386301 0.00035461073 0.0006873802 4.8403697e-05 5.9658156e-05 9.551981e-05 0.00035537375 0.00010572512 0.00034259327 0.0007350209 0.061184708 0.060979217 0.06102295 0.060936395 0.06109057 0.061089903 0.06104002 0.061047748 0.061008688 0.061142884 0.061014697 0.061082892 0.061073832 0.060958426 0.061157525 0.06102276 48193.0 5.7538853 277297.0 0.011136075 0.010198452 0.010129933 0.00975849 0.010342701 0.009895527 0.010050596 0.010144358 0.0103499135 0.009769308 0.00961424 0.010061414 0.010043383 0.010101083 0.01054465 0.009740459 0.010595138 0.009877496 0.010212877 0.010108296 0.010093871 0.009801765 0.010065021 0.009747671 0.010032564 0.01038237 0.010227301 0.009909952 0.010176814 0.009924377 0.010184026 0.010331882 0.011128861 0.011063949 0.0101407515 0.010761025 0.010541044 0.010003715 0.010642019 0.010591532 0.010703325 0.010400401 0.010075839 0.009924377 0.010014533 0.010270576 0.010479738 0.010447282 0.010476132 0.01029582 0.010057808 0.010930519 0.010158783 0.009992896 0.010696113 0.010656444 0.010147964 0.009895527 0.009592603 0.009708002 0.009946015 0.010346307 0.010335488 0.01032467 0.010375157 0.011305568 0.00998929 0.011348843 0.010851181 0.013902062 0.010288607 0.01041122 0.01029582 0.011402937 0.010173208 0.009607028 0.011211805 0.010739388 0.011215412 0.012207128 0.010537438 0.010173208 0.012098941 0.011327205 0.012931983 0.010919699 0.01035352 0.010176814 0.010187632 0.010486951 0.010458101 0.010205664 0.01035352 0.010083051 0.010072233 0.010007321 6.582207 2.0 0.0 0.0 169.0 10485760.0 262144.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1285583600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 155136.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33792.0 0.0 0.0 0.0 0.0 0.0 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 -155136.0 0.0 44544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.71213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9603329 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5716968 0.0 4.59417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33482.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154972.0 0.0 44420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 189476.0 44420.0 217088.0 0.0 0.0 7688.0 343861300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 171568.0 0.0 0.0 664.0 159744.0 0.0 0.0 0.0 0.0


Input: 0.060807172 0.0048194947 0.0036022447 0.0034275197 0.0042370786 0.002973235 0.004440924 0.0038905407 0.003613893 0.0031974653 0.0030518612 0.0035585633 0.0036633983 0.004050705 0.0029149933 0.0030227404 0.0032236741 0.0035381787 0.003255707 0.0029790592 0.0034944976 0.0036896071 0.0039895517 0.0030897183 0.003005268 0.0035003219 0.002833455 0.0034682888 0.0039662546 0.0032906518 0.0033023003 0.0029382901 0.0033518057 0.0036401018 0.0030256526 0.0033430695 0.0037012554 0.00393131 0.0038206507 0.003043125 0.003037301 0.0041322433 0.0035381787 0.003369278 0.0039458703 0.0038148265 0.0033983989 0.003366366 0.004149716 0.0037711454 0.003150872 0.0040972983 0.0030897183 0.003788618 0.0034537285 0.0030314766 0.0029586747 0.003584772 0.003363454 0.003506146 0.0029790592 0.0029790592 0.0028392794 0.0028713122 0.0058882283 0.004947626 0.003430432 0.0034275197 0.004874824 0.011689095 0.0028014223 0.0048893844 0.003252795 0.0043419134 0.0038818044 0.0033983989 0.0035527393 0.00580669 0.0044758692 0.0033896626 0.0056290533 0.0046389457 0.003578948 0.0032382344 0.0039138375 0.0036750466 0.0041031227 0.0029907075 0.004030321 0.0038119145 0.004452572 0.0038439473 0.003296476 0.003724552 0.0035265305 0.0044351 0.0032149379 0.0039895517 0.0034682888 0.0035207064 0.0039546066 0.005142736 0.0035702118 0.0029819713 0.0034246077 0.0037827936 0.0037274642 0.0041759247 0.00408565 0.005270867 0.0032265862 0.0037012554 0.0030547734 0.004111859 0.0035760358 0.0035207064 0.0038555956 0.0034158714 0.003762409 0.0042283423 0.0031013666 0.00415554 0.003835211 0.0034566405 0.0029179056 0.003037301 0.0028771365 0.0028014223 0.0041671884 0.00450499 0.0039924635 0.0035352667 0.0031392237 0.0041264193 0.0038526836 0.003040213 0.0036925192 0.0052417465 0.003578948 0.0065405346 0.0033401572 0.004976747 0.003578948 0.0033110364 0.0040332326 0.0027577411 0.0035323547 0.00314796 0.0031275754 0.0034246077 0.0038818044 0.0029179056 0.00379153 0.0029120813 0.0042370786 0.0038555956 0.0030256526 0.0038060902 0.0036925192 0.0035119702 0.0034915856 0.0029965318 0.0036983434 0.0038555956 0.0029557627 0.0033721903 0.004138068 0.0033197727 0.0029965318 0.002967411 0.0029237296 0.0032906518 0.0031217511 0.0032294982 0.0032411464 0.0045224624 0.003080982 0.002725708 0.0033139486 0.0037070794 0.004216694 0.0027781257 0.0038410353 0.0034100472 0.0036925192 0.002973235 0.0030518612 0.003544003 0.0035760358 0.0032877398 0.0039866394 0.0033139486 0.0030984546 0.0040244963 0.003762409 0.0037362003 0.003430432 0.0033488935 0.0111882165 0.0038206507 0.004327353 0.0047758133 0.0033052124 0.003829387 0.0057164156 0.0033576298 0.003325597 0.003080982 0.003005268 0.003191641 0.0027169718 0.0036925192 0.0029877955 0.0032120256 0.0031217511 0.003829387 0.0030693337 0.0032324104 0.003896365 0.0033401572 0.0035294427 0.0034974096 0.0030868063 0.0042021335 0.0036371895 0.0033081244 0.0030169163 0.0030897183 0.0029936195 0.003293564 0.0035265305 0.0040244963 0.0054019107 0.0030635095 0.002862576 0.0038818044 0.0037362003 0.003011092 0.003942958 0.0037682333 0.0035323547 0.0032120256 0.0031013666 0.0032440587 0.0032790035 0.004222518 0.003718728 0.0034071351 0.0035702118 0.0039400463 0.003436256 0.0033343332 0.00502334 0.003080982 0.0032702673 0.0066395453 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.052545786 0.050572194 0.053555973 0.051652554 0.053077925 0.055810254 0.055186015 0.052719757 0.05428547 0.05266274 0.051971253 0.052466843 0.05466411 0.051127724 0.05158238 0.05043039 1699.0 7.420836 12608.0 0.0075348984 0.0061072335 0.0057899747 0.005393401 0.017211294 0.018242385 0.0052347714 0.005393401 0.006265863 0.005393401 0.017369924 0.016497461 0.01744924 0.016894035 0.006265863 0.00420368 0.017290609 0.0052347714 0.006027919 0.008169416 0.005076142 0.016735407 0.00571066 0.0061072335 0.0058692894 0.018004442 0.006265863 0.00571066 0.00420368 0.006027919 0.0051554567 0.0047588833 0.005948604 0.031012056 0.0055520306 0.0061072335 0.058217004 0.006424492 0.0058692894 0.03355013 0.00571066 0.031963833 0.005393401 0.004838198 0.017607868 0.019194162 0.04251269 0.005393401 0.03291561 0.006503807 0.0055520306 0.006424492 0.0055520306 0.0049175126 0.005948604 0.0066624368 0.03156726 0.0063451775 0.017052665 0.0051554567 0.004838198 0.0049175126 0.0056313453 0.020542514 0.0055520306 0.008962563 0.006027919 0.0072969543 0.010390229 0.015625 0.0065831216 0.00840736 0.00571066 0.008962563 0.0063451775 0.005314086 0.009121193 0.00872462 0.009517767 0.020859772 0.006027919 0.004838198 0.009041878 0.008803934 0.011897208 0.0063451775 0.01681472 0.005472716 0.00571066 0.005472716 0.0056313453 0.0049968273 0.005076142 0.0057899747 0.0057899747 0.005472716 6.1946077 0.0 0.0 0.0 9.0 343397.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.13406089 0.020380475 0.0031234159 0.0035930465 0.0054342966 0.0035855921 0.0030115992 0.0026686944 0.0031159616 0.0022437905 0.0021767004 0.0027656022 0.0028997823 0.0026686944 0.003913588 0.004077586 0.0036825 0.0030861436 0.0022437905 0.0021692459 0.0029817813 0.002713421 0.003667591 0.0026836032 0.0036452278 0.0022661537 0.0024897873 0.0023854251 0.0043683094 0.0023332438 0.0024152428 0.0021170648 0.0043310374 0.0059933807 0.004047768 0.002564332 0.015385992 0.0030488714 0.010741867 0.0043683094 0.0034737752 0.0023406984 0.0023779706 0.0023108805 0.0028774189 0.0020797926 0.0022661537 0.005784656 0.0029966903 0.0030339626 0.0024450608 0.0022736082 0.0035557742 0.0023928795 0.0020276112 0.0023630618 0.004129767 0.0026388764 0.0026612398 0.002400334 0.0026761487 0.0020797926 0.0023630618 0.0037868624 0.005903927 0.0031681426 0.0025494231 0.0020276112 0.012776933 0.0027656022 0.0027059666 0.0031979606 0.0026686944 0.0024972418 0.0019456123 0.0019977936 0.004353401 0.0023332438 0.005397024 0.004591943 0.0048752124 0.009847333 0.0024897873 0.0027506934 0.0043310374 0.002482333 0.0027059666 0.0025196052 0.0024301517 0.0026686944 0.0036303187 0.0025568774 0.003160688 0.0027432388 0.0043459465 0.004293765 0.0035632288 0.0034215942 0.001990339 0.0024748784 0.003600501 0.0041372217 0.0050243014 0.0026761487 0.0024599696 0.0034215942 0.0023034262 0.004189403 0.003734681 0.0028550555 0.0034663207 0.0035855921 0.0033694129 0.0026910577 0.0034737752 0.0032799596 0.0075886333 0.0027432388 0.0030414169 0.0049348483 0.0030861436 0.0035855921 0.002534514 0.0020872469 0.010302055 0.0031159616 0.0023332438 0.0028177833 0.007074276 0.0030190535 0.0054193875 0.0053224796 0.004226675 0.0024226974 0.0021394282 0.002370516 0.0041372217 0.008028446 0.0027879656 0.007789904 0.002482333 0.0031010525 0.0024226974 0.002452515 0.0028774189 0.0025046964 0.0020574292 0.004413036 0.003078689 0.004092495 0.0035483197 0.0019605213 0.0018636134 0.0030339626 0.004293765 0.0021841547 0.0024748784 0.004092495 0.0023332438 0.0021170648 0.002713421 0.0026239676 0.0022959716 0.0040104957 0.0029296002 0.004241584 0.0026090587 0.0021916092 0.0019307034 0.0020052479 0.0027581477 0.0027506934 0.0025270598 0.0021916092 0.002236336 0.0018934312 0.0041744937 0.004211766 0.002780511 0.0026239676 0.0024599696 0.0022512448 0.0023108805 0.004144676 0.002631422 0.002288517 0.002318335 0.0025419686 0.0021096102 0.002020157 0.0043832185 0.0025121507 0.0048453948 0.0027879656 0.002646331 0.002631422 0.0022810628 0.0024972418 0.0023108805 0.0035334108 0.0025941497 0.0025494231 0.002534514 0.0021319736 0.0019754302 0.0021096102 0.0022139726 0.0024674241 0.0026090587 0.0026686944 0.004144676 0.0027730567 0.0041223126 0.0021170648 0.0024450608 0.0031234159 0.0024152428 0.0029370545 0.0021170648 0.004047768 0.0021319736 0.0050093927 0.0023481527 0.0028028744 0.002400334 0.002154337 0.0023257895 0.0026537853 0.004472672 0.0025941497 0.0021170648 0.003980678 0.0031308704 0.003056326 0.0027208754 0.0040552225 0.0023928795 0.003846498 0.0021916092 0.0025046964 0.0032128694 0.0026239676 0.0027581477 0.0024301517 0.0029966903 0.003980678 0.0029892358 0.0033395952 0.002974327 0.0025866954 0.0026612398 0.002236336 0.0025121507 0.0029966903 0.0028774189 0.025121508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005078125 0.00055588945 0.0005446214 0.00034179687 0.001171875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003917518 8.638822e-05 0.0006159856 1.8780049e-05 0.00012019231 3.7560098e-05 0.0018742488 0.0010216347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013743239 0.0006460337 0.00065354566 0.000394381 0.0013934795 0.00022911659 0.00048828125 0.000766226 0.00044696513 0.00021409255 0.00020658053 0.00026667668 0.00021033654 0.0020996095 0.00028921274 0.0010291466 0.01419396 0.0016639122 0.0020883414 0.0002704327 0.00037560097 0.0004657452 0.0035531851 0.0026705228 0.00022911659 0.0003455529 0.00017653246 0.00031550482 0.00029672476 0.0022122897 0.00018780048 0.0017240085 0.021067457 0.00228741 0.0016601563 0.000766226 0.004364483 0.0011155348 0.0039550783 0.0034630408 0.0011192908 0.0006911058 0.0010704627 0.000788762 0.0005596454 0.00059720554 0.0004657452 0.0021822415 0.010464243 0.0008112981 0.00546875 0.00079627405 0.004206731 0.005404898 0.00061974156 0.006257512 0.0026329628 0.001209435 0.0010779748 0.00075120194 0.0010141226 0.0007136418 0.0010141226 0.011403245 0.008097957 0.0008638822 0.0032301683 0.0009089543 0.0018667368 0.002711839 0.0015286959 0.004462139 0.0021559496 0.0013446514 0.0009765625 0.0006272536 0.00083759014 0.00068359374 0.0009765625 0.0071890024 0.049447868 0.0056978664 0.014160156 0.0060321516 0.009100812 0.008879207 0.006670673 0.0072829025 0.015155499 0.006629357 0.005198317 0.0064828726 0.006505409 0.00625 0.0068058893 0.0089317905 0.031122295 0.0052809496 0.009957181 0.0052396334 0.008094201 0.0063777044 0.0052246093 0.0057354267 0.01002479 0.004740084 0.004289363 0.004623648 0.00558143 0.004642428 0.0057091345 0.0064340443 0.04002404 0.027663011 0.035727162 0.029360726 0.03046875 0.032620944 0.029176682 0.029319411 0.033826623 0.032072566 0.029109074 0.03221154 0.02732497 0.030848106 0.031370193 0.028876202 723.0 7.7759337 5622.0 0.004980434 0.0048025614 0.003913198 0.004980434 0.011205977 0.008004269 0.018676627 0.006937033 0.0053361794 0.0028459623 0.006581288 0.004091071 0.0048025614 0.0051583066 0.007826396 0.007114906 0.0056919246 0.0026680897 0.004446816 0.0055140518 0.006403415 0.008182142 0.0062255426 0.003023835 0.004091071 0.0053361794 0.0067591607 0.0032017075 0.006937033 0.0051583066 0.006403415 0.0056919246 0.008182142 0.01743152 0.00942725 0.00942725 0.11152615 0.010138741 0.017253647 0.008893632 0.010138741 0.007826396 0.004980434 0.0048025614 0.007826396 0.0055140518 0.007114906 0.02347919 0.00604767 0.0037353255 0.0055140518 0.009782995 0.0062255426 0.0062255426 0.0048025614 0.007470651 0.0042689433 0.004446816 0.003557453 0.0053361794 0.0028459623 0.0058697974 0.00604767 0.007826396 0.0046246885 0.021166844 0.0055140518 0.013162576 0.023123443 0.028815368 0.01956599 0.008360014 0.006937033 0.016008537 0.004980434 0.008893632 0.016720029 0.010138741 0.019921737 0.017609391 0.010138741 0.006403415 0.017965136 0.024012808 0.03486304 0.008004269 0.013518321 0.07559587 0.006581288 0.004446816 0.0056919246 0.004446816 0.0026680897 0.004980434 0.0032017075 0.004980434 5.9693193 0.0 0.0 0.0 2.0 134148.0 151552.0 1.0 0.0 39.0 0.0 1.0 1.0 0.0 0.0 1521013400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 13.0 5.0 5.0 0.0 4.0 0.0 1.0 1024.0 4096.0 5.0 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 0.0 83968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.978847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.509261 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2921963 0.0 6.268463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15352.0 0.0 31560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 106524.0 31560.0 118784.0 0.0 0.0 0.0 66880.0 0.0 0.0 56.0 3392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.14295875 0.008661973 0.0042012194 0.0034363403 0.006263772 0.0039628963 0.0020363498 0.0019677228 0.007912068 0.0015160325 0.0017081881 0.0015110414 0.0045905216 0.0013775307 0.0012352858 0.0039042516 0.006186411 0.0015110414 0.0011916141 0.0008996374 0.0024805537 0.0019901826 0.00077111775 0.00082976266 0.0023170966 0.0007586401 0.0008347537 0.0007149684 0.0016245879 0.0006076608 0.00059767865 0.0005689801 0.0039067473 0.0005901921 0.00065632357 0.00054652034 0.004182503 0.0013263725 0.00046791128 0.00056523684 0.0011916141 0.0006575713 0.00058769656 0.0009495479 0.001113005 0.002358273 0.0006812788 0.0005215651 0.00550638 0.0026227986 0.003085719 0.010076937 0.003190531 0.0018204867 0.0026277897 0.0015222713 0.0037395468 0.0019028392 0.0007199595 0.0014935727 0.0016794895 0.0009832375 0.00046915904 0.000532795 0.011864982 0.0039591533 0.004939895 0.008896553 0.0038992607 0.032816175 0.0032940954 0.0027301062 0.0034101373 0.0035760899 0.0022060457 0.002373246 0.002731354 0.0044220733 0.0011691543 0.0015434833 0.009131133 0.0021611261 0.002072535 0.009833624 0.0032304593 0.013947499 0.003247928 0.0021124633 0.0019415198 0.006565731 0.002763796 0.003285361 0.0015784206 0.0046741217 0.0023969535 0.003633487 0.005810834 0.0044258167 0.0016632685 0.0032616535 0.009257156 0.0061552166 0.0039042516 0.0015409878 0.007848431 0.004266103 0.0036284958 0.001376283 0.003491242 0.0017356388 0.0043434645 0.00406147 0.0031194084 0.0017019493 0.0048475605 0.0038693142 0.010216687 0.0055824933 0.0017069404 0.0010992795 0.002789999 0.0012739664 0.0005352905 0.0005951831 0.0016670119 0.0025391984 0.0010718288 0.0008821687 0.005288021 0.0011679066 0.0010980318 0.009139867 0.003148107 0.0032541668 0.0010431302 0.0006238817 0.002685187 0.015317543 0.002252213 0.05216649 0.0012065872 0.011093864 0.0008647 0.00068626984 0.002678948 0.00044794707 0.00073368486 0.0006513325 0.0011329692 0.0009445569 0.0015247669 0.0005727234 0.0011841274 0.0005939354 0.0005040964 0.0007187117 0.0009645211 0.0004803889 0.00046915904 0.00042299178 0.0009046284 0.0033577313 0.00047040678 0.002572888 0.0014361757 0.0008247716 0.0005689801 0.0004566814 0.0010556078 0.00046167246 0.00051407854 0.00049161876 0.0008547179 0.00045418588 0.000748658 0.0006638101 0.0013363545 0.0006912609 0.001745621 0.0005415293 0.000885912 0.00067628775 0.0007187117 0.0015933939 0.0031780533 0.0025566672 0.0046915906 0.0008310104 0.0010094406 0.00048413218 0.00086095673 0.00072120724 0.012102057 0.0011591722 0.0023071144 0.010440037 0.0043958705 0.0010680854 0.0035885675 0.0033976596 0.0018866182 0.0017805584 0.0009919719 0.0013138949 0.0016969582 0.00090088515 0.0010007062 0.0009507957 0.002899802 0.0011604199 0.003000871 0.0013650531 0.0018292211 0.0007748611 0.0016183491 0.00088341645 0.0033976596 0.00066006684 0.0010955363 0.001803018 0.0015097937 0.0007249505 0.0005677323 0.00084972684 0.0024605894 0.0006638101 0.000885912 0.0009994585 0.0024543505 0.0024531027 0.0005552547 0.00069999526 0.027852574 0.0060791033 0.0011030228 0.005951831 0.0065906863 0.0010518646 0.00068626984 0.00076113566 0.007306902 0.0009857331 0.0018329644 0.0009270882 0.009218476 0.0021898248 0.004132592 0.0026165599 0.0101567935 0.0030807278 0.003100692 0.003644717 0.015020575 0.0040315236 0.004339721 0.06954409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017918234 0.0 0.0 0.00052204204 0.00024695403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009694978 0.0 0.0 0.004100062 0.0028502871 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062895124 0.0 0.0 0.00037449485 0.00027696363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055580284 3.7512004e-06 1.8130802e-05 6.752161e-05 0.00015004801 7.627441e-05 6.2520007e-06 7.502401e-06 1.5630001e-05 0.0 0.0 1.8756002e-06 8.127601e-06 3.1260004e-06 5.0016006e-06 0.00036136564 0.006146342 0.00020756642 0.00021506882 0.0005551777 0.0019262414 0.00049203244 0.0024670395 0.0010734685 0.00019631282 0.00010128241 9.315481e-05 7.564921e-05 0.00067709165 0.00038324765 0.00040387924 0.002912182 0.013431173 0.00064645684 0.0009534301 0.0020981715 0.004162582 0.003638039 0.007022872 0.0032354104 0.00045764644 0.00023757602 0.00031322523 0.00033323164 0.0020994218 0.0011134814 0.001130987 0.009062275 0.020939825 0.0013135454 0.001243523 0.0020950455 0.00737611 0.0025820762 0.006745909 0.0032829256 0.0024113967 0.0009828145 0.0009846902 0.0013466809 0.0040913094 0.00267148 0.0026958627 0.009659341 0.020390274 0.0015748789 0.0012616537 0.0022863566 0.009505542 0.0040775547 0.005934399 0.0034360995 0.0058600004 0.0014254561 0.001793699 0.0023244938 0.0038949964 0.001787447 0.0040788054 0.009753746 0.07466702 0.009903794 0.0073448503 0.010170129 0.04243358 0.03087363 0.021492502 0.014075754 0.051929116 0.005337958 0.0061088298 0.009223577 0.016936045 0.0071360334 0.02768386 0.06161034 0.06079133 0.01021952 0.009199194 0.011775018 0.028369078 0.030877382 0.01782758 0.014739716 0.05026171 0.005937525 0.006540218 0.009231704 0.021286186 0.011034781 0.025305597 0.048959415 0.00023570043 4.8140406e-05 8.690281e-05 5.2516807e-05 9.127921e-05 0.00010003201 4.3764005e-05 6.6271205e-05 0.00013566841 2.9384402e-05 3.3760803e-05 2.9384402e-05 8.502721e-05 6.0644405e-05 7.3773605e-05 0.00010815961 5347.0 15.216383 81362.0 0.005752071 0.00013519825 0.000589956 9.8326e-05 0.003539736 0.0006022467 0.00013519825 0.00018436126 0.0004178855 0.00043017624 0.00077431725 0.0006145375 0.0005285023 0.015056169 0.0011922028 0.00049163 0.024200486 0.01671542 0.025368107 0.011663922 0.020537844 0.013618151 0.02177921 0.010545463 0.024397139 0.013888547 0.00087264326 0.000540793 0.0010078416 0.0005653745 0.0001229075 0.000147489 0.0014380177 0.00900912 0.007816917 0.015326565 0.0075342297 0.01703498 0.0049900445 0.003244758 0.005198987 0.018583614 0.0025933483 0.004215727 0.0072023794 0.0070426 0.0046827756 0.009734274 0.013630441 0.0027654187 0.0063174455 0.02161943 0.013802513 0.0066124233 0.0062314104 0.003687225 0.0029374892 0.005653745 0.0016100883 0.0031587228 0.001229075 0.00294978 0.0030726874 0.023438461 0.0002703965 0.032005113 0.012499693 0.027875422 0.026425112 0.05522234 0.0111477105 0.010336521 0.018817138 0.036294583 0.006673877 0.006821366 0.02460608 0.0121186795 0.038396303 0.035630886 0.018780267 0.0025933483 0.039551634 0.02966987 0.04261203 0.011258327 0.010066125 0.0057889433 0.013691896 0.0070548905 0.0011061674 0.00030726875 0.0005776652 0.0002703965 0.0003195595 0.00033185026 5.774146 0.0 2.0 14.0 4.0 801434.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.573242 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.26230583 0.026982479 0.013971053 0.0042392975 0.004905392 0.0048828125 0.0027546966 0.0024498736 0.0066101425 0.0019023211 0.0026756683 0.0017894238 0.002523257 0.0032627347 0.0014958906 0.010465588 0.0064916005 0.002297462 0.0009765625 0.0009483381 0.0016991058 0.0048376536 0.0011854226 0.0008297959 0.0032627347 0.0018458725 0.0010160765 0.00087495486 0.0010668804 0.0010555907 0.0007168985 0.0016878161 0.0095398305 0.00094269327 0.0012249368 0.00068302924 0.015235504 0.0010725253 0.00070560875 0.0010104317 0.0038441564 0.000999142 0.0006040011 0.0018345828 0.0007168985 0.0038554461 0.0013942829 0.0007677023 0.0045779897 0.00085237535 0.0014225072 0.005294888 0.0017668443 0.0010217215 0.0007112536 0.0007507677 0.004386064 0.0016821712 0.0008185061 0.0035788475 0.0011910675 0.001303965 0.001998284 0.004177204 0.0068077133 0.008546333 0.0017103956 0.0027659864 0.007039153 0.005086028 0.001433797 0.0016821712 0.052119084 0.0073101064 0.0011571983 0.0014225072 0.009398708 0.004132045 0.0010047868 0.001303965 0.004736046 0.0009201138 0.00151847 0.0022635928 0.0025401914 0.0020039289 0.0023990697 0.0028619491 0.0023143967 0.0008862446 0.00074512284 0.0015128251 0.0037312591 0.0011459086 0.0012418714 0.0025684158 0.0026192197 0.00347724 0.0012531611 0.003206286 0.0031441925 0.006034366 0.004205428 0.0012418714 0.0025514811 0.0027998555 0.000999142 0.0011910675 0.004165914 0.0015015354 0.0030595195 0.0031780617 0.0037877078 0.0005419075 0.0040417267 0.003979633 0.012627574 0.0061811325 0.0010894599 0.0012983201 0.0024780978 0.00151847 0.0009257587 0.00078463694 0.00173862 0.00094269327 0.00076205743 0.0010047868 0.008631006 0.0015918533 0.0005927113 0.012305817 0.0032627347 0.007908463 0.0004685242 0.00049674854 0.0022748825 0.0114929555 0.0011007496 0.030290373 0.0010725253 0.009861588 0.00046287934 0.0006209357 0.0032401553 0.00047981396 0.0005136832 0.00078463694 0.0007677023 0.0005306178 0.0003386922 0.00040078576 0.0009934971 0.00044594472 0.00037820628 0.00044029986 0.0008072164 0.00041772038 0.00047416906 0.0004290101 0.0023539108 0.00076205743 0.0007677023 0.0008805997 0.00097091764 0.00079592667 0.00078463694 0.0007677023 0.0017442649 0.0007281882 0.0009878522 0.00072254334 0.00089188945 0.0006773844 0.0007789921 0.0008580202 0.0015805636 0.00041772038 0.00049674854 0.00048545882 0.0007112536 0.00047981396 0.0008072164 0.0011402637 0.0021506955 0.0020547328 0.0013660585 0.000739478 0.00087495486 0.00057577674 0.0007281882 0.0006773844 0.009426933 0.003166772 0.0016200776 0.005261019 0.004064306 0.0011571983 0.0017160404 0.0033304733 0.0034151464 0.002771631 0.00086931 0.0019813494 0.013310603 0.0008185061 0.0013604136 0.00195877 0.0025345467 0.0014733111 0.0022692378 0.0011233292 0.0008072164 0.00060964597 0.0008805997 0.00091446895 0.002557126 0.0016087879 0.00090317917 0.0014620213 0.0006322254 0.0005814216 0.00058706646 0.0007281882 0.0026813133 0.00068867416 0.0005927113 0.0007168985 0.00082415104 0.00034998194 0.00062658056 0.00041207552 0.010894599 0.0025006775 0.0008297959 0.0036240064 0.0032232208 0.0007507677 0.0005249729 0.00058706646 0.003550623 0.00093140354 0.0014507315 0.00094269327 0.0007789921 0.00061529083 0.0021111814 0.0009370484 0.0035223989 0.0018458725 0.0010725253 0.0010386561 0.001083815 0.0011459086 0.0034320808 0.036561824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014427007 9.368187e-05 8.516533e-05 5.10992e-05 0.00027252908 0.0001021984 0.00023846293 0.00014478106 6.813227e-05 0.0001532976 0.00077500456 5.677689e-05 7.3809955e-05 9.084302e-05 4.2582666e-05 0.000766488 0.03188306 0.0006784838 0.0011412154 0.00030375636 0.0012292196 0.00036621094 0.0015443314 0.0009055914 0.0008999137 0.00022710756 0.00042582667 0.00010787609 0.00013058685 0.00016181414 0.00010787609 0.00058480195 0.05069041 0.0006898392 0.002262559 0.0006898392 0.0023789518 0.0011979924 0.004820358 0.00240734 0.0021291333 0.0004031159 0.00026401255 0.0007153888 0.0004911201 0.00026401255 0.00018452489 0.0001788472 0.019869072 0.0005564135 0.0010645667 0.0008431368 0.0009566906 0.00061602925 0.0020723564 0.0012661247 0.00039176055 8.800418e-05 0.00011639262 0.0002611737 0.00032930597 0.00015045876 0.00014761991 0.00034066133 0.039564975 0.0006699673 0.0018480878 0.0007948764 0.0027082576 0.0019417696 0.006736578 0.003812568 0.001970158 0.0005223474 0.00053086394 0.00076081033 0.000547897 0.00048260356 0.00034917786 0.00071254995 0.04174237 0.0041872957 0.003048919 0.002935365 0.0032589934 0.0027536792 0.008970749 0.005788404 0.0011639262 0.000766488 0.0004456986 0.00045705397 0.00064725656 0.00094249635 0.0011582485 0.0031284066 0.014844318 0.0004967978 0.0008232649 0.0019616415 0.0019673193 0.0013229016 0.0031795057 0.0016067859 0.00041163244 0.00036904978 0.0005564135 0.0006557731 0.00085733103 0.00070687226 0.00047124818 0.004652866 0.020507812 0.0015272984 0.0014307776 0.0019673193 0.0028785884 0.0015556868 0.0020155795 0.0013910338 0.0015443314 0.0012178643 0.0039914153 0.0013938727 0.0013058685 0.0013598065 0.0009708848 0.0014534884 0.0069125863 0.00044285975 0.0009055914 0.0010106286 0.0012434139 0.00094249635 0.0014449719 0.00087720295 0.00069267803 0.00025265716 0.0002299464 0.00029807867 0.0006188681 0.00033214482 0.00024981832 0.0009879179 0.085928984 0.015511447 0.022733467 0.016056504 0.07315134 0.015928756 0.0092376 0.01808344 0.062920146 0.0052433456 0.0047579035 0.007281636 0.038860943 0.009407931 0.018262286 0.032680776 0.025407659 0.005240507 0.008442723 0.006850132 0.022713594 0.0061773257 0.0038210847 0.0069069085 0.020019531 0.0017345339 0.0017146621 0.0028615552 0.012070767 0.0052263127 0.0073895124 0.014585983 0.00084029796 0.0007409384 0.0007636492 0.0021830713 0.0006898392 0.00053654163 0.00059615733 0.0005422193 0.0006075127 0.00042014898 0.00049963663 0.0004144713 0.00051383086 0.00048828125 0.0005677689 0.0012235419 851.0 11.813161 10053.0 0.03600915 0.0016910376 0.000994728 0.0002984184 0.02208296 0.00079578237 0.000994728 0.0070625683 0.0030836565 0.00069630955 0.00039789118 0.0022878742 0.0008952551 0.0018899831 0.012135681 0.0012931463 0.007360987 0.0015915647 0.0031831295 0.008057296 0.0034815478 0.001989456 0.0024868199 0.0013926191 0.0050731124 0.0059683677 0.0018899831 0.0050731124 0.0025862926 0.001989456 0.005172585 0.0062667863 0.020789813 0.05779369 0.0045757485 0.018800357 0.013130409 0.013826719 0.0075599323 0.0050731124 0.02277927 0.007957824 0.00079578237 0.001989456 0.015517756 0.008654133 0.0015915647 0.0030836565 0.007360987 0.0012931463 0.0065652044 0.009748334 0.01601512 0.012931463 0.01850194 0.021585597 0.0031831295 0.0010942008 0.0024868199 0.0022878742 0.007360987 0.006863623 0.010942007 0.017208794 0.005172585 0.032925494 0.0070625683 0.024072416 0.01959614 0.06396101 0.010842535 0.008853079 0.006664677 0.026260817 0.0017905103 0.0026857655 0.033422858 0.00925097 0.026459763 0.034218643 0.009151497 0.00069630955 0.03590968 0.02387347 0.057495274 0.01850194 0.0064657317 0.0032826022 0.010046752 0.007758878 0.0018899831 0.00079578237 0.0026857655 0.00079578237 0.00039789118 0.0014920919 5.7652254 1.0 0.0 0.0 4.0 177152.0 196608.0 1.0 6.0 144.0 1.0 1.0 0.0 1.0 0.0 1540957200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 150528.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150528.0 -5632.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.407516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.305436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3306253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0579042 -4.6734667 4.9392967 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150181.0 -5216.0 6584.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 213.0 154064.0 180.0 177360.0 6584.0 184320.0 6288.0 167936.0 0.0 0.0 1924.0 192512.0 112.0 40080.0 0.0 0.0 0.0 0.0 40.0 40448.0 256.0 40192.0 0.0 0.0 1216.0 176128.0 0.0 0.0 0.0 0.0


Input: 0.20135282 0.010980268 0.0062100026 0.0057251845 0.012017433 0.0037062624 0.004015334 0.005243829 0.010243517 0.0019340785 0.0020379683 0.0022241038 0.0072982465 0.0023349193 0.0017695867 0.010852138 0.008350129 0.002289035 0.0017288965 0.0016821462 0.004152988 0.0031989347 0.0014908161 0.0012207031 0.0031391983 0.0010951698 0.00106054 0.0012700506 0.002418031 0.001046688 0.0011505777 0.0021868767 0.004169437 0.0009410669 0.0015592101 0.0019713056 0.006166715 0.001204254 0.0014345426 0.0009419326 0.002035371 0.0010111923 0.0011635638 0.0030439661 0.0018076795 0.0019609167 0.0014726354 0.0016284699 0.0041382704 0.0022786458 0.0025323096 0.006467129 0.0025704026 0.0020613433 0.0025920463 0.0020509544 0.0038802775 0.0028907289 0.0019202266 0.005740768 0.0024907538 0.0030119335 0.0023479057 0.0032785835 0.0043867393 0.0034257604 0.0025028742 0.0032171155 0.0041261497 0.010276415 0.0039737783 0.00296172 0.00265438 0.0015488212 0.003933954 0.0034915572 0.004004945 0.0069519477 0.0021375292 0.0015635389 0.0074177193 0.0032690603 0.0015315063 0.003800629 0.001812874 0.004610968 0.0047884462 0.0037538786 0.0017245678 0.0027132507 0.0009930116 0.0023046182 0.0014154962 0.0046161623 0.0034768395 0.0034924229 0.0013419077 0.0027175795 0.0010847809 0.0019964124 0.0024552583 0.004377216 0.004509676 0.0011834761 0.004179826 0.0025574164 0.005038647 0.0010735261 0.0023479057 0.0015332378 0.0025877175 0.002829261 0.0026794868 0.0010458223 0.0045434395 0.003745221 0.009732727 0.010021021 0.0018968515 0.0020665377 0.0021531126 0.001532372 0.000978294 0.0008865248 0.0016102892 0.0024284201 0.0016353959 0.0023046182 0.0034638534 0.002179085 0.0013929867 0.013177534 0.0038586338 0.008641019 0.0014700382 0.0018310547 0.001877805 0.012256379 0.0013384447 0.03333212 0.0012094484 0.011174195 0.0010016692 0.0009055713 0.0016371274 0.0009211547 0.0008068761 0.0008363115 0.001200791 0.0012458098 0.0008744044 0.0009410669 0.0011886705 0.0010241786 0.00089777954 0.0007367506 0.0010163869 0.0012094484 0.0007055837 0.0008692099 0.0015695991 0.0015349692 0.001111619 0.0010051321 0.001108156 0.00083458 0.0006458472 0.00067268533 0.0014795614 0.00069173175 0.0007722462 0.00088306185 0.0010813179 0.00067441683 0.0006648936 0.0008181308 0.0017929618 0.00072809315 0.0006406527 0.0007722462 0.0011133505 0.0010388963 0.0014189591 0.0012683192 0.001959185 0.0010163869 0.0010458223 0.0008692099 0.0013895237 0.0012709164 0.0010691974 0.0014051072 0.008255762 0.004836062 0.0032500138 0.0041425987 0.0045070783 0.0012163743 0.0031824857 0.0052897134 0.0037157857 0.0026838153 0.001378269 0.0015176543 0.012156818 0.001399047 0.0018016193 0.0016128864 0.0027106535 0.0018449066 0.0017392855 0.0010813179 0.001539298 0.00071510696 0.0011479803 0.001046688 0.00231241 0.0013401762 0.0008873906 0.0015981687 0.0015514184 0.0010657344 0.001029373 0.0010380305 0.0029054466 0.0011384572 0.0010337018 0.00095145585 0.0026413938 0.0026526486 0.0015453582 0.00097223377 0.013350683 0.0022422844 0.0009826227 0.004432624 0.004854243 0.00096271053 0.0010224471 0.0012077169 0.0050784713 0.0017427485 0.001991218 0.001676086 0.0031348695 0.0015202515 0.0039391485 0.008084345 0.007267945 0.004217919 0.0050299894 0.0030058732 0.0068255486 0.0042153215 0.007761421 0.04630707 0.018254872 4.982462e-05 3.0328029e-06 6.0656057e-06 0.00013257681 3.4660604e-06 8.5351734e-05 4.549204e-05 6.932121e-06 4.765833e-06 6.932121e-06 6.0656057e-06 8.231893e-06 8.665151e-06 2.1662877e-06 9.098409e-06 0.032489117 0.000259088 3.3794087e-05 2.0363104e-05 0.00035137185 2.122962e-05 0.00017156999 0.0002031978 1.776356e-05 1.3430984e-05 1.2997726e-05 1.9929847e-05 2.7295226e-05 3.8126665e-05 1.8196817e-05 2.0363104e-05 0.0065469546 0.00014514128 6.932121e-06 8.231893e-06 0.00012607794 8.231893e-06 5.285742e-05 0.00014470801 7.798636e-06 6.0656057e-06 7.365378e-06 7.365378e-06 6.0656057e-06 9.964923e-06 9.531666e-06 5.1990905e-06 0.0031276862 0.00011308022 1.3864242e-05 1.1264696e-05 7.192075e-05 1.4730756e-05 1.776356e-05 5.8489768e-05 1.776356e-05 7.365378e-06 2.3395907e-05 8.665151e-06 9.531666e-06 1.2131211e-05 2.469568e-05 1.6897044e-05 0.00073740433 6.498863e-06 5.1990905e-06 8.665151e-06 1.8630075e-05 1.6897044e-05 3.509386e-05 2.6861968e-05 7.798636e-06 4.765833e-06 1.7330302e-06 8.665151e-07 5.1990905e-06 4.3325754e-06 6.0656057e-06 1.2997726e-06 0.004608994 0.000103548555 0.00012217862 4.2892498e-05 0.00018630075 7.322052e-05 0.0004111614 0.00031454497 4.7225072e-05 9.531666e-06 4.7225072e-05 1.6463786e-05 1.4730756e-05 1.9063333e-05 1.5597272e-05 0.0001785021 0.005279243 0.00015727249 0.00018716726 0.00010008249 0.000105281586 0.00014254173 0.00063385576 0.00049001427 5.8489768e-05 5.1557647e-05 3.9859693e-05 3.552712e-05 5.1557647e-05 6.542189e-05 9.141734e-05 0.0013838246 0.009287309 0.00017416953 0.00065378565 0.0002712192 0.0006030945 0.00036177004 0.0020280785 0.0013807918 0.00011481325 0.00010181552 5.2424162e-05 6.7588175e-05 0.0001785021 0.00014340825 0.00016203833 0.0030527327 0.011261663 0.00032104383 0.00063428906 0.00051384344 0.001324035 0.00056063524 0.0022837005 0.0013469977 0.00015293992 0.00018456772 0.00028421695 0.00020059824 0.00023959142 0.00020969665 0.00029418187 0.0032580968 0.017748829 0.0005775323 0.0016606762 0.001103507 0.0023226936 0.0014982045 0.0080039995 0.004133277 0.00044582202 0.0004063956 0.0003305755 0.000344873 0.00041072816 0.00053420657 0.0006446872 0.0033122539 0.010415944 0.0005437382 0.0013210023 0.0012369503 0.0017286976 0.00061955827 0.0016866716 0.001080111 0.00070837606 0.0005623683 0.00027728482 0.00037476778 0.0006316895 0.0005082111 0.0006979779 0.0051133055 0.017216355 0.0025011958 0.0026216414 0.013829147 0.0040080654 0.001818382 0.0028889612 0.002064039 0.002200515 0.0022984312 0.0016294817 0.00156276 0.0020159474 0.0019197642 0.002484732 0.013474743 0.017636614 0.0021337934 0.0020046826 0.004375901 0.0033009893 0.0021086645 0.0016606762 0.0019141318 0.005073013 0.0016645754 0.001350897 0.0012486483 0.0030574985 0.0017737563 0.0027797804 0.011802802 0.08630577 0.015412704 0.011042002 0.014712126 0.0262892 0.022997744 0.009106207 0.018848436 0.056257192 0.003896285 0.0039218473 0.0062757353 0.033544533 0.007656527 0.018367954 0.04069848 0.039683357 0.009909467 0.0074871234 0.00891774 0.01575931 0.016855884 0.00834324 0.01217237 0.029281711 0.0022191452 0.0028711976 0.003980337 0.016179569 0.0049889605 0.012344374 0.023735581 0.006932121 0.0050795116 0.0047298726 0.0051297694 0.004870248 0.0046384553 0.0044118618 0.005034886 0.0047900956 0.0046908795 0.004700844 0.0046609845 0.0046107266 0.004767999 0.0049833283 0.0058264476 4400.0 12.630909 55576.0 0.018677127 0.0014034836 0.0042104507 0.0025370663 0.009032676 0.002429106 0.0024830862 0.0027889737 0.004192457 0.0031128544 0.0015834173 0.0018893047 0.004480351 0.007845113 0.008636822 0.013441054 0.01720167 0.01326112 0.0112278685 0.009968332 0.013081186 0.008222974 0.021933928 0.007719159 0.01565424 0.008690801 0.0120195765 0.009968332 0.0096264575 0.006747517 0.020152584 0.011083921 0.0064596226 0.007035411 0.002375126 0.008294947 0.010310206 0.0050561395 0.0047322586 0.005667914 0.004516338 0.008636822 0.0023031523 0.0026270333 0.0062437025 0.0038145962 0.0057578813 0.003760616 0.013459047 0.004696272 0.0057398877 0.015888153 0.008151 0.0036346624 0.0074492586 0.008726789 0.005236073 0.0034367354 0.0028789407 0.003040881 0.0037426227 0.0018173312 0.0029329206 0.016212033 0.0032927883 0.032945875 0.008510868 0.022581689 0.024596948 0.05889233 0.009086656 0.008492875 0.017507557 0.027673816 0.0064596226 0.0052900533 0.023247445 0.013998848 0.027080035 0.03519505 0.021178206 0.004462358 0.032028213 0.031038579 0.046476897 0.01698575 0.00671153 0.0059378147 0.009212609 0.009212609 0.002231179 0.0015294371 0.003184828 0.0014934504 0.0016014107 0.0019252915 6.0623913 1.0 38.0 0.0 8.0 1155072.0 1179648.0 1.0 5.0 250.0 1.0 1.0 1.0 1.0 0.0 2557891600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 11.0 5.0 1.0 5.0 1.0 655360.0 1024.0 4096.0 7.0 0.0 0.0 2.0 7.0 0.0 0.0 0.0 0.0 0.0 -26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 -655360.0 0.0 256000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6779714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1729155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.128305 0.0 1.7148974 0.0 0.0 0.0 0.0 0.0 0.0 -6.666322 0.0 2.938263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34212.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 -655322.0 0.0 255808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 -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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 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 -1.0 0.0 -1.0 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 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 2.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 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 -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 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 -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 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 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 0.0 0.0 1.0 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 1.0 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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192.0 841216.0 120.0 841408.0 256168.0 888832.0 0.0 0.0 13768.0 1139864.0 25884.0 1146880.0 56.0 828480.0 0.0 0.0 0.0 0.0 24.0 828536.0 64.0 716712.0 0.0 0.0 1020.0 659456.0 288.0 838676.0 0.0 0.0