Input: 0.007440841 0.003987107 0.003913938 0.003926533 0.004034087 0.003963517 0.0039321305 0.0039701145 0.004012496 0.003926133 0.0038677577 0.003923934 0.003928932 0.0038727557 0.00386216 0.003971514 0.0039077406 0.0039129388 0.0038973452 0.0038407692 0.003892947 0.0039061415 0.0038353715 0.0038611605 0.0038327726 0.0038389699 0.003925933 0.00386216 0.0038629598 0.0038319728 0.0038255756 0.003907941 0.0039487234 0.0038537637 0.0039257333 0.0038795527 0.003864359 0.0038801525 0.0038607607 0.0038455671 0.0038865497 0.0038889488 0.0038163795 0.0039039424 0.0038799525 0.0038749548 0.0038949463 0.0039417264 0.0038987447 0.003869157 0.0038269751 0.0038807523 0.003867358 0.0038659584 0.0038447676 0.0038827513 0.0039107394 0.0038843506 0.00386216 0.0038449673 0.003928932 0.003865159 0.0038737552 0.0039373282 0.0040562777 0.0038987447 0.0038081831 0.0038595612 0.0039179362 0.003987507 0.003914938 0.0038871495 0.0038817518 0.0038301738 0.0038875493 0.0038991445 0.0038989445 0.0038783532 0.0038605607 0.0038285744 0.003966316 0.003857762 0.0038745548 0.0039397273 0.0038113818 0.0038593614 0.0039007438 0.0039551207 0.0038689573 0.0038631598 0.0038439678 0.003899944 0.003906941 0.0038407692 0.0038699568 0.0039083404 0.0038809523 0.00390954 0.0038515646 0.003822577 0.0038659584 0.0039697145 0.0039005438 0.0039087404 0.0039417264 0.0039203353 0.0039367285 0.003857762 0.0039179362 0.0038805522 0.003928932 0.0039319303 0.003911539 0.0038991445 0.004001901 0.0040236916 0.0040304884 0.004034687 0.003906941 0.0038873495 0.0039091404 0.003883351 0.00383857 0.003843368 0.003929931 0.0039105397 0.003897745 0.003964517 0.0038887488 0.003921135 0.0038657587 0.0039577195 0.003857362 0.003947324 0.003805984 0.0038301738 0.003922934 0.003930931 0.0038567623 0.0040076985 0.0038521644 0.003857362 0.0038609607 0.0038961456 0.003914338 0.0039005438 0.0038771539 0.0038779534 0.0038149802 0.0038599612 0.0037851927 0.00386256 0.0038307735 0.0038825516 0.0038235765 0.0039137383 0.0038891486 0.003789591 0.0038003863 0.00390894 0.003810582 0.003843368 0.0038043847 0.0037843932 0.003770599 0.0039007438 0.003819978 0.0038449673 0.003876154 0.0038467667 0.0037887914 0.0038401694 0.0038681575 0.0038991445 0.0038849504 0.0038629598 0.003846167 0.0038527641 0.00388615 0.0038927472 0.0038841509 0.0038987447 0.0039275326 0.0039025429 0.003942126 0.0039091404 0.0038583616 0.0038905481 0.0038131808 0.0038417687 0.0038969454 0.0038709564 0.003928932 0.003937928 0.0039009436 0.0038583616 0.0038735552 0.0039005438 0.0038817518 0.0039723134 0.0038669582 0.0038357712 0.0038219772 0.0038805522 0.0038449673 0.0037975875 0.0038627598 0.0038535637 0.0039085406 0.0038393699 0.0038477662 0.0038771539 0.0038285744 0.003819978 0.0038749548 0.0039231344 0.0038803525 0.0038711564 0.003879153 0.0039019433 0.0039257333 0.0039463243 0.0038587616 0.0039513223 0.003961318 0.0039019433 0.003925533 0.0038939465 0.0038655587 0.0038617603 0.0039187362 0.003926133 0.0040035 0.0038427683 0.0038529641 0.003970914 0.0038797527 0.0038777534 0.00390974 0.0038631598 0.0038997442 0.0038525641 0.0038709564 0.00386256 0.003846367 0.0039061415 0.0039241337 0.003913938 0.0039503225 0.0039161374 0.0038991445 0.003926933 0.003857562 0.003907341 0.0039041424 0.0049760872 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014909428 6.199762e-06 2.9998847e-07 4.999808e-07 9.999616e-08 0.0 7.9996926e-07 0.0 7.9996926e-07 0.0 3.9998463e-07 1.9999231e-07 1.4999424e-06 1.1899543e-05 6.2997583e-06 2.6698975e-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 0.00097016274 1.9699244e-05 4.9798087e-05 2.2899121e-05 3.0398833e-05 2.109919e-05 0.0001249952 6.819738e-05 1.8099305e-05 5.1998004e-06 8.8996585e-06 6.399754e-06 2.4899044e-05 4.4398294e-05 2.5199033e-05 0.0001979924 0.00043398334 2.7998924e-06 5.3297954e-05 1.9399255e-05 5.9797705e-05 4.2798358e-05 0.00012339526 6.879736e-05 8.999654e-07 1.3999462e-06 1.1999539e-06 8.199685e-06 1.0999578e-06 6.999731e-07 4.999808e-07 8.999654e-07 0.00046468215 1.0299605e-05 2.5999001e-05 1.0199608e-05 4.3898315e-05 3.37987e-05 0.00013179494 7.659706e-05 8.799662e-06 1.1399562e-05 1.8899274e-05 4.919811e-05 1.4199455e-05 1.5799393e-05 2.2699129e-05 8.569671e-05 0.00022519135 5.799777e-06 1.9199262e-05 2.5999001e-05 3.179878e-05 2.2599132e-05 0.00011779548 6.959733e-05 5.4997886e-06 3.2998732e-06 1.0399601e-05 6.099766e-06 5.1998004e-06 1.0199608e-05 1.0199608e-05 4.5498255e-05 0.00033548713 1.7599325e-05 1.4299451e-05 1.1899543e-05 4.709819e-05 2.7898928e-05 7.659706e-05 5.4997887e-05 3.7098576e-05 1.2399524e-05 1.719934e-05 4.1798394e-05 2.1599171e-05 2.5199033e-05 1.9199262e-05 5.879774e-05 0.00040758436 1.7599325e-05 1.5299413e-05 1.899927e-05 3.179878e-05 2.7898928e-05 4.849814e-05 9.89962e-05 4.109842e-05 2.109919e-05 7.3097195e-05 0.00012359525 3.489866e-05 8.6296684e-05 0.000112095695 0.00027468946 0.00018289298 1.8899274e-05 4.6398218e-05 5.439791e-05 7.0997274e-05 3.179878e-05 0.00010459599 8.159687e-05 7.649706e-05 3.439868e-05 5.629784e-05 3.4698667e-05 4.0998424e-05 4.709819e-05 2.4699051e-05 0.00011769548 0.0012229531 0.00026268992 0.00014379447 0.00021399178 0.00046668208 0.00040238455 0.00024309066 0.00032188764 0.00048838125 0.00014369449 0.0001118957 0.000114995586 0.00025619016 0.00013299489 0.0003436868 0.00066007464 0.062070616 0.061587136 0.06178213 0.061669532 0.061516937 0.061560538 0.06145534 0.06203482 0.061588734 0.061503537 0.06115045 0.06173383 0.061620433 0.06176693 0.061896924 0.061955422 23271.0 5.742813 133641.0 0.010438413 0.010139104 0.010206449 0.010161553 0.009952036 0.010378552 0.01031869 0.009967001 0.010124139 0.009869725 0.009809864 0.009914622 0.009944553 0.010109173 0.01056562 0.0106928265 0.01043093 0.010348621 0.009944553 0.010288759 0.010221414 0.010198966 0.009630278 0.010453379 0.010131622 0.0104084825 0.010056794 0.010116655 0.010603034 0.010184 0.010445897 0.010258827 0.0104084825 0.010049311 0.010213931 0.010386034 0.010415965 0.0105132405 0.010662896 0.010415965 0.010034346 0.010011897 0.010004415 0.010468344 0.010378552 0.010400999 0.010139104 0.010086725 0.010939756 0.010169035 0.010827515 0.010879895 0.01010169 0.0103710685 0.009899656 0.011089412 0.0102288965 0.010296241 0.009877209 0.010221414 0.009862243 0.009952036 0.009652726 0.010834998 0.010311207 0.011792788 0.010475827 0.01031869 0.010640447 0.013581161 0.010700309 0.010790102 0.010520724 0.011530893 0.010258827 0.010281276 0.011837685 0.010805068 0.01185265 0.010902342 0.010221414 0.010079242 0.01193496 0.011777823 0.011867615 0.01073024 0.010341138 0.010468344 0.010535689 0.010588068 0.009181314 0.009682657 0.010296241 0.009233694 0.010154069 0.010198966 6.5825806 0.0 0.0 0.0 69.0 5002123.0 41279490.0 0.0 0.0 169.0 0.0 1.0 0.0 0.0 0.0 1517362300.0 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 -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 6.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 29184.0 1024.0 4096.0 5.0 1.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 38162944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5508904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0255332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5443306 0.0 7.9994197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2592768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11238.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -467932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28830.0 0.0 38162490.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 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 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 44284.0 38162490.0 3112960.0 0.0 0.0 11000.0 39210016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.30947185 0.122566566 0.012134439 0.012789175 0.013574858 0.013400262 0.013269315 0.011523352 0.0017459624 0.00139677 0.0015277171 0.00065473595 0.002138804 0.0012221737 0.0014840681 0.00052378874 0.0024443474 0.0009602794 0.0031427324 0.00082933216 0.0041466607 0.002138804 0.0023134002 0.0005674378 0.0027498908 0.0004364906 0.0002182453 0.00026189437 0.0004364906 0.00074203406 0.00061108684 0.0018769096 0.005630729 0.0016586643 0.0011348756 0.0094281975 0.0021824532 0.0037538193 0.0016586643 0.0012221737 0.0024443474 0.0015277171 0.0013094719 0.0012658228 0.00139677 0.0018769096 0.0044958536 0.0009166303 0.005150589 0.004321257 0.0040157135 0.010039284 0.004277608 0.0029244872 0.0034919248 0.0031427324 0.004408555 0.0027062418 0.0040157135 0.0011348756 0.0012221737 0.0009602794 0.0012221737 0.0010039284 0.0044958536 0.005674378 0.0031863814 0.006329114 0.004103012 0.003622872 0.0037538193 0.0019642077 0.0016586643 0.0030990834 0.0012658228 0.002095155 0.0018332606 0.0015713662 0.00139677 0.0045395023 0.0033173286 0.0012221737 0.0027062418 0.002095155 0.0020078567 0.0014840681 0.0015713662 0.0011348756 0.0020078567 0.0009602794 0.0007856831 0.00065473595 0.004408555 0.00026189437 0.00065473595 0.0011348756 0.0017896115 0.0072020954 0.004103012 0.0052378876 0.0051942384 0.017939765 0.0034919248 0.0021824532 0.002138804 0.005063291 0.002095155 0.0017896115 0.004321257 0.0033609776 0.005019642 0.0047577475 0.003535574 0.002138804 0.005150589 0.0045395023 0.007027499 0.0039284155 0.0016586643 0.00082933216 0.0052815364 0.002138804 0.0009166303 0.0004364906 0.0009166303 0.00082933216 0.0004801397 0.00052378874 0.0025316456 0.0013094719 0.00061108684 0.0009602794 0.0014840681 0.0022261022 0.000698385 0.0004801397 0.006372763 0.011741597 0.0026189438 0.0017023134 0.002880838 0.0020078567 0.0010912266 0.0010912266 0.0018769096 0.002051506 0.0010912266 0.0012221737 0.000698385 0.0017896115 0.000698385 0.000698385 0.0019642077 0.0015713662 0.00074203406 0.0011785247 0.0005674378 0.005805325 0.0015277171 0.00082933216 0.0024006984 0.0009602794 0.00065473595 0.000698385 0.0004801397 0.00061108684 0.0004801397 0.00065473595 0.0024443474 0.0004364906 0.0003491925 0.0005674378 0.00061108684 0.003579223 0.00030554342 0.0002182453 0.0014840681 0.00052378874 0.0009166303 0.00030554342 0.00061108684 0.0004801397 0.00074203406 0.00074203406 0.0025316456 0.0009166303 0.0010039284 0.00039284155 0.0005674378 0.0004801397 0.0003491925 0.0004364906 0.0022697512 0.00061108684 0.00052378874 0.0007856831 0.00061108684 0.00074203406 0.0004801397 0.0009166303 0.0033173286 0.0012658228 0.001440419 0.0010039284 0.0004364906 0.0037101703 0.0040157135 0.0010039284 0.0016586643 0.000698385 0.00074203406 0.00065473595 0.00082933216 0.00039284155 0.00074203406 0.00052378874 0.0020078567 0.0011348756 0.000698385 0.000698385 0.0007856831 0.0004364906 0.0020078567 0.0004364906 0.0029244872 0.00065473595 0.00065473595 0.00052378874 0.0004801397 0.00065473595 0.0013094719 0.00082933216 0.0016150153 0.0017023134 0.0015277171 0.0004801397 0.0011348756 0.0010039284 0.00082933216 0.0010912266 0.0009602794 0.0005674378 0.00061108684 0.0009602794 0.00052378874 0.0010912266 0.0003491925 0.0005674378 0.0013094719 0.0008729812 0.00030554342 0.0009602794 0.0009602794 0.0013094719 0.0037101703 0.005630729 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025181362 0.0 0.0006045387 0.008858817 0.0017903646 0.0017903646 0.007440476 0.001953125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025855655 0.0 0.000906808 0.0070684524 0.0024414062 0.0026506695 0.00625465 0.0024414062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12995256 0.0052780877 0.011625744 0.013090588 0.0109282 0.006859189 0.022925967 0.012253534 0.008393787 0.0025344123 0.0007207961 0.00109282 0.003092448 0.0015811012 0.0034877232 0.004278274 0.19961402 0.010439918 0.0056966147 0.0052083335 0.021182105 0.007998512 0.023832776 0.015485491 0.025692895 0.011625744 0.009579613 0.0057896203 0.013532366 0.007835751 0.007835751 0.009602864 0.111142114 0.0063709076 0.022135416 0.0152994795 0.010160901 0.0052548363 0.011067708 0.007254464 0.0052083335 0.010881697 0.0052083335 0.005487351 0.005998884 0.0051850816 0.005394345 0.006045387 0.018810455 0.0029296875 0.0026274181 0.0013253348 0.0052548363 0.0013950893 0.001953125 0.0011160715 0.0030691964 0.0008370536 0.000953311 0.0008370536 0.0018833706 0.0007905506 0.0017671131 0.0020693825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 14.067568 2082.0 0.02401537 0.00048030738 0.007684918 0.074927956 0.008165225 0.02017291 0.009125841 0.010086455 0.010086455 0.0033621518 0.009606148 0.007204611 0.009125841 0.011527377 0.012007685 0.003842459 0.008165225 0.008165225 0.0062439963 0.0715658 0.010086455 0.00048030738 0.002401537 0.00096061477 0.004322767 0.00096061477 0.0052833813 0.0033621518 0.008165225 0.003842459 0.0062439963 0.00096061477 0.0028818443 0.010086455 0.004322767 0.017771374 0.0062439963 0.0067243036 0.0062439963 0.0129683 0.003842459 0.009606148 0.0014409221 0.00048030738 0.0057636886 0.007684918 0.00096061477 0.003842459 0.0052833813 0.0019212295 0.0033621518 0.009606148 0.004803074 0.0019212295 0.00096061477 0.0057636886 0.002401537 0.0 0.00048030738 0.0014409221 0.00096061477 0.0 0.0014409221 0.00048030738 0.00096061477 0.031700287 0.0062439963 0.019212296 0.021133525 0.07925072 0.0062439963 0.007204611 0.0028818443 0.030259365 0.002401537 0.002401537 0.026416907 0.018731989 0.030259365 0.03506244 0.009125841 0.002401537 0.0326609 0.034582134 0.052353505 0.015369836 0.0062439963 0.003842459 0.010086455 0.004803074 0.0014409221 0.0 0.00096061477 0.0 0.00096061477 0.00048030738 5.594782 0.0 0.0 0.0 2.0 22910.0 28672.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1097643100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27.0 17.0 5.0 1.0 5.0 1.0 3584.0 1024.0 0.0 4.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3584.0 -4096.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1777835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.535869 -6.1098795 4.8585386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4250.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3445.0 -3924.0 5576.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3924.0 16384.0 5576.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.025926089 0.0040686447 0.0034541783 0.0035024579 0.0038184691 0.0031864466 0.0031293891 0.0033444522 0.0036780196 0.0031118328 0.0033751756 0.0033488413 0.0038755266 0.0037350773 0.0038491925 0.0034805126 0.0038623596 0.0032610605 0.0030416083 0.003125 0.0036955758 0.003125 0.0030679423 0.003138167 0.0035770717 0.0032654495 0.0031645014 0.003212781 0.0033839536 0.0031688905 0.0032610605 0.0032961727 0.003520014 0.0031513344 0.002918715 0.002927493 0.0037877457 0.0030635535 0.0031118328 0.0033532304 0.0032083918 0.0031469453 0.0031162219 0.0033795645 0.0034629565 0.003326896 0.0031732796 0.0034673456 0.011372016 0.010336201 0.0106171 0.011183286 0.010761938 0.0106171 0.010314256 0.010226475 0.010560042 0.0106785465 0.010814607 0.010761938 0.01070927 0.0101167485 0.011047226 0.010358146 0.003414677 0.0031162219 0.0031425562 0.0032215589 0.0034497892 0.0032742275 0.0035595153 0.0034234552 0.0034454004 0.0032610605 0.0031645014 0.0034015097 0.0035639044 0.0031688905 0.0034980688 0.0031118328 0.0033707866 0.0032478932 0.0031688905 0.0033663975 0.003326896 0.0032347261 0.0040335325 0.0034015097 0.0032435043 0.0031162219 0.0032347261 0.0033971209 0.0032917836 0.0031645014 0.0033576193 0.00477967 0.0032961727 0.004007198 0.003506847 0.0034541783 0.0036034058 0.0036253512 0.0034673456 0.0032961727 0.0034629565 0.0034454004 0.003133778 0.003506847 0.0035770717 0.0032522823 0.003318118 0.0036824087 0.0035507374 0.0031469453 0.0038755266 0.0034015097 0.003932584 0.003318118 0.0037394662 0.003713132 0.0036955758 0.0039238064 0.003225948 0.0029977176 0.00404231 0.0034015097 0.0033576193 0.0033663975 0.0037921348 0.003138167 0.0031469453 0.0035595153 0.003708743 0.0034410113 0.0033400632 0.0034366222 0.0035024579 0.0035507374 0.0033620084 0.0044680475 0.0032698384 0.0032391152 0.003024052 0.0032215589 0.004314431 0.0028397122 0.0031688905 0.0031513344 0.0034849017 0.0030898876 0.0031162219 0.0031557232 0.0036209621 0.0031645014 0.0029801615 0.0032654495 0.0034585674 0.0033400632 0.0031557232 0.0035814606 0.003107444 0.0030196628 0.0031645014 0.0032654495 0.0033576193 0.0030679423 0.0031645014 0.0031952248 0.0032698384 0.003024052 0.0030021067 0.0030723314 0.0033488413 0.0031030548 0.0030679423 0.0031820575 0.0031293891 0.0030723314 0.0030459971 0.0030986657 0.00372191 0.0031952248 0.0031645014 0.0031557232 0.0035331813 0.0031820575 0.0031732796 0.0030942766 0.0037614114 0.0033620084 0.0035287922 0.003304951 0.003524403 0.0032215589 0.0034673456 0.0035639044 0.004191538 0.003107444 0.0033400632 0.0033883427 0.0031118328 0.003335674 0.0031513344 0.0032215589 0.0033971209 0.0031908357 0.0031469453 0.0033532304 0.003120611 0.0030854987 0.0032522823 0.0034892908 0.0032478932 0.0030547753 0.0032347261 0.0032215589 0.003230337 0.0028923806 0.0029845505 0.0029757724 0.003691187 0.0029494383 0.0033532304 0.003335674 0.003994031 0.0034058988 0.0032083918 0.0032961727 0.0035331813 0.0031601123 0.0031688905 0.0033400632 0.0035682935 0.0032786166 0.0031557232 0.0032654495 0.003318118 0.003107444 0.0038316362 0.003511236 0.0036472965 0.003427844 0.0033312852 0.0032873948 0.0033795645 0.0032347261 0.0032742275 0.003427844 0.003800913 0.003506847 0.003304951 0.0035726826 0.00409059 0.003125 0.0034058988 0.0037833566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026778139 4.6397767e-05 2.8722427e-05 6.407311e-05 0.00013035563 0.00015244981 0.0002651301 0.00027175836 9.500495e-05 4.418835e-06 1.1047087e-05 1.5465923e-05 4.1978932e-05 2.2094175e-06 0.0005722391 0.00014582156 0.0045514 0.000114889706 0.00012151796 0.0001391933 0.00039769514 0.0005965427 0.0010472639 0.00091911765 0.00029606195 5.302602e-05 4.1978932e-05 9.9423785e-05 7.291078e-05 3.0931846e-05 0.00018559107 0.00038222922 0.0030335302 8.616728e-05 9.500495e-05 0.00075783016 0.00043967407 0.00075120194 0.0014692626 0.0012262267 0.00020547582 5.5235436e-05 7.732961e-05 7.732961e-05 6.407311e-05 5.7444853e-05 0.00047944358 0.00017454398 0.01262903 0.007231423 0.0072932867 0.121312484 0.0075076004 0.007087811 0.0073993388 0.0073418943 0.007330847 0.007213748 0.0072424705 0.007531904 0.007304334 0.0068845446 0.0069530364 0.0070303665 0.0010185414 0.00012372738 0.00017012515 0.0016636914 0.00015907806 0.00013477447 0.00029606195 0.00018338165 0.0001016332 0.00011268029 0.0001016332 9.721437e-05 0.000108261454 8.83767e-05 7.070136e-05 9.500495e-05 0.0041404483 0.0005678203 0.0007224795 0.002101156 0.00090586115 0.0013764671 0.001084824 0.0013853047 0.001752068 0.00070480414 0.00023861708 0.00038664805 0.00090807053 0.0003269938 0.0005302602 0.00096772483 0.0019133554 0.00034466913 0.00042862698 0.0003557162 0.0006473593 0.00094563066 0.00033141262 0.00037118213 0.0014493779 0.0003026902 3.7560098e-05 0.000108261454 0.0006805006 0.00022977941 0.00040211398 0.00050153775 0.04437173 0.04437836 0.043406215 0.04509642 0.043255974 0.043936476 0.04383926 0.0452091 0.04421486 0.044687677 0.042995263 0.04453081 0.04474512 0.043823794 0.0452798 0.046636384 3009.0 9.395813 28272.0 0.007640068 0.0040676286 0.004385965 0.004385965 0.006968025 0.005270232 0.005623939 0.0050933785 0.006013016 0.004598189 0.0049518957 0.005376344 0.006968025 0.004739672 0.0048811543 0.0055531976 0.034698643 0.02999434 0.03155065 0.033248443 0.03321307 0.032717884 0.03155065 0.030878607 0.032364175 0.03310696 0.030701755 0.03158602 0.032222696 0.028685626 0.031692132 0.031126203 0.0072509903 0.005730051 0.0056946804 0.005623939 0.007286361 0.005482456 0.0051994906 0.006614318 0.006295982 0.0059069046 0.0054470855 0.0050933785 0.0069326544 0.0048811543 0.005871534 0.0049518957 0.006755801 0.0055885683 0.005022637 0.0056593097 0.007003396 0.0048104133 0.007533956 0.0049872664 0.005942275 0.004492077 0.0052348613 0.0050933785 0.006508206 0.0045274477 0.0044213356 0.013688455 0.0058007925 0.011495473 0.009090266 0.0063313525 0.007923033 0.00827674 0.005411715 0.005376344 0.0066850595 0.006508206 0.005482456 0.0053056027 0.0079937745 0.005942275 0.006295982 0.0065789474 0.007003396 0.005022637 0.009373232 0.0065435767 0.010045274 0.0054470855 0.0094086025 0.005871534 0.006402094 0.005270232 0.004598189 0.0048104133 0.007038766 0.0054470855 0.0048811543 0.0049518957 6.116549 0.0 0.0 0.0 3.0 227840.0 1224704.0 0.0 0.0 126.0 1.0 1.0 0.0 0.0 0.0 1036393540.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 4.0 20.0 4.0 0.0 4.0 0.0 220160.0 1024.0 4096.0 7.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220160.0 0.0 0.0 0.0 0.0 0.0 512.0 -3584.0 2048.0 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 7.8802977 0.0 0.0 0.0 0.0 0.0 4.4583473 -5.686123 3.4646163 0.0 0.0 0.0 0.0 0.0 -5.1939254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46152.0 0.0 0.0 236544.0 0.0 0.0 0.0 0.0 0.0 -859848.0 -3416.0 1884.0 0.0 0.0 0.0 0.0 0.0 -59770.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 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 -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 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 913408.0 1884.0 917504.0 0.0 0.0 0.0 0.0 60.0 1220608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 914100.0 0.0 0.0 0.0 0.0


Input: 0.19979003 0.0074588275 0.005171036 0.0043405364 0.0059231864 0.0035413762 0.0030242726 0.0026011877 0.008618393 0.0022877916 0.0022094427 0.0023034615 0.0053434037 0.0023818105 0.0019743955 0.007349139 0.0044815643 0.0018960465 0.0012379147 0.0017080088 0.0034160176 0.007192441 0.0020370746 0.0015826504 0.0028832443 0.0015983202 0.0019587257 0.0013632731 0.002178103 0.0019587257 0.0021310935 0.0012849241 0.007521507 0.0014102826 0.00404281 0.0017863578 0.0043405364 0.0034943668 0.0013005938 0.0015669806 0.0024131502 0.0015826504 0.0014102826 0.0019430559 0.0020527446 0.0029302537 0.0036667346 0.0014572919 0.004685272 0.003980131 0.0033690082 0.005719479 0.0031966404 0.0035413762 0.0023974802 0.0024758293 0.0034473573 0.005092687 0.003463027 0.0053434037 0.002992933 0.0035883856 0.002585518 0.00242882 0.015607127 0.0023034615 0.0018647069 0.0034160176 0.0040114704 0.012567184 0.004450225 0.0050300076 0.002334801 0.0023034615 0.0013946127 0.0015669806 0.0028205651 0.004998668 0.0020057352 0.0013946127 0.008101289 0.00242882 0.002193773 0.0066753374 0.00242882 0.003948791 0.006189573 0.007317799 0.0019273862 0.002648197 0.0015199712 0.0016453296 0.0020057352 0.0033533385 0.0024444896 0.0022094427 0.0019117163 0.005077017 0.002099754 0.0033690082 0.0042465176 0.012332137 0.005970196 0.0028048952 0.0077095446 0.0065656486 0.0069887335 0.001535641 0.0062679225 0.0027108765 0.005312064 0.0059545264 0.0040114704 0.0014416222 0.00803861 0.006847705 0.0132723255 0.012864911 0.0022251124 0.0027265463 0.002898914 0.002648197 0.0013005938 0.0012849241 0.002084084 0.003964461 0.0016766692 0.0017550183 0.0050300076 0.005014338 0.0033376687 0.0076311952 0.0032436498 0.0055157715 0.0014102826 0.0019430559 0.002898914 0.007897582 0.0017236787 0.012191109 0.0015669806 0.0051240264 0.0012849241 0.0015983202 0.0012849241 0.0010812166 0.0012222448 0.0013946127 0.0020057352 0.0015826504 0.0011438958 0.0015043013 0.0018647069 0.0012222448 0.0016453296 0.0013319335 0.0012849241 0.0012222448 0.0014572919 0.00161399 0.0017706881 0.002663867 0.0018490371 0.002256452 0.0019743955 0.0014102826 0.0014102826 0.0017236787 0.0020527446 0.0014572919 0.0015669806 0.0013005938 0.0013946127 0.0017393484 0.0012849241 0.0015826504 0.0024131502 0.0013162637 0.0008931789 0.0012849241 0.0015826504 0.0009871977 0.002021405 0.002178103 0.002021405 0.0012379147 0.0013789429 0.0013789429 0.0021310935 0.0014259523 0.0018647069 0.0017236787 0.006941724 0.003792093 0.00242882 0.0023818105 0.0023191313 0.0013162637 0.0019430559 0.0032436498 0.0024758293 0.0024131502 0.0014259523 0.0014102826 0.0017080088 0.0011438958 0.0013789429 0.0012692543 0.0023034615 0.0013946127 0.0013632731 0.0015513108 0.0015826504 0.0009871977 0.0028048952 0.0014416222 0.002507169 0.00094018836 0.0007834903 0.001535641 0.0021154238 0.0013319335 0.0012379147 0.0016609994 0.002491499 0.0016766692 0.0016296598 0.0012222448 0.002178103 0.0010812166 0.0014102826 0.0012849241 0.011188242 0.0041368287 0.0013632731 0.004199508 0.0032749893 0.0012535845 0.0013632731 0.0014572919 0.0044972342 0.0015513108 0.0015826504 0.0015669806 0.002663867 0.0015513108 0.0023974802 0.0021624332 0.0052023754 0.0018490371 0.0016766692 0.0020057352 0.0042151776 0.0018490371 0.0023191313 0.03555479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013807953 8.8050714e-05 0.000144083 0.0014088114 0.00012807376 0.00010405994 8.0046106e-05 6.403688e-05 8.0046106e-05 7.20415e-05 7.20415e-05 7.20415e-05 6.403688e-05 5.6032273e-05 8.0046106e-05 7.20415e-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 0.012102971 9.605533e-05 5.6032273e-05 5.6032273e-05 0.0003762167 0.000144083 0.00042424435 0.00085649337 0.00085649337 0.0002241291 1.600922e-05 0.00013607838 0.00010405994 8.8050714e-05 3.201844e-05 0.0008244749 0.017434042 0.0 0.0034019595 0.0006883965 0.00077644724 0.00024814293 0.0065717855 0.0036661117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0326348 6.403688e-05 0.0038422132 0.0011126408 0.0040743467 0.00288166 0.0128474 0.0070440574 6.403688e-05 0.00019211066 0.0004482582 4.0023053e-05 6.403688e-05 8.0046106e-05 5.6032273e-05 0.00012807376 0.027936092 0.00038422132 0.0022172772 0.0023213371 0.0035700563 0.0026014985 0.013127562 0.007564357 0.0013447746 0.00042424435 0.0011446594 0.00023213371 0.00050429045 0.00024814293 0.00019211066 0.0017610143 0.009181288 0.00040823515 0.0005202997 0.005795338 0.001953125 0.0015849129 0.0063636657 0.0034259735 0.00040823515 0.00042424435 0.0007284196 0.00040823515 0.00038422132 0.00038422132 0.00040823515 0.00040823515 0.032522734 0.0020811989 0.002961706 0.009989754 0.0037461577 0.0028016136 0.0058673797 0.004546619 0.0024894339 0.0017129867 0.0040183146 0.0014888576 0.001977139 0.0014488345 0.0019451204 0.0023693647 0.0028416368 0.00033619365 0.0008965164 0.005259029 0.00044025359 0.0003041752 0.002753586 0.0017129867 0.00024013832 0.00020811988 0.00024814293 0.00023213371 0.00020811988 0.00018410604 0.00028016136 0.00024814293 0.026535284 0.004298476 0.0028256276 0.0036340933 0.009869685 0.0051309555 0.004362513 0.0064437115 0.011286501 0.00063236424 0.0017610143 0.0014728484 0.0053150617 0.0018650743 0.00411437 0.008813077 0.07312212 0.016529521 0.010862256 0.014528369 0.030193392 0.026935514 0.014944608 0.019507237 0.0362849 0.003578061 0.004810771 0.0066758455 0.015024655 0.0069800206 0.01991547 0.044369556 0.014752498 0.014200179 0.014856557 0.013767931 0.013431736 0.014680456 0.014128137 0.014440318 0.014944608 0.015048668 0.013904009 0.014728484 0.013936027 0.014112129 0.014296235 0.014280225 435.0 12.698851 5524.0 0.00923244 0.0019913106 0.008870384 0.0023533672 0.00615496 0.0014482259 0.0012671977 0.0023533672 0.0021723388 0.00307748 0.0016292542 0.0028964519 0.0028964519 0.00615496 0.0079652425 0.0041636494 0.01230992 0.014301231 0.013577118 0.0110427225 0.011404779 0.008870384 0.007422158 0.0077842143 0.010137581 0.010861695 0.0077842143 0.008146271 0.009956554 0.011223751 0.010137581 0.007603186 0.0025343953 0.00615496 0.003801593 0.010861695 0.010680666 0.011404779 0.009594496 0.010137581 0.0036205647 0.01031861 0.0028964519 0.0034395366 0.008689355 0.009413469 0.0047067343 0.0048877625 0.01339609 0.0025343953 0.0057929037 0.013758146 0.006879073 0.0047067343 0.0077842143 0.024981897 0.0021723388 0.0025343953 0.0019913106 0.0028964519 0.0018102824 0.0014482259 0.0010861694 0.0018102824 0.0021723388 0.0307748 0.008146271 0.018283851 0.022809558 0.083816074 0.00923244 0.010137581 0.010137581 0.03530051 0.0036205647 0.0043446776 0.03692976 0.0153874 0.030231716 0.03692976 0.014301231 0.0023533672 0.03711079 0.036386676 0.049963795 0.016835626 0.00615496 0.009775525 0.009413469 0.01230992 0.0025343953 0.0016292542 0.0014482259 0.0021723388 0.0023533672 0.0010861694 5.918466 0.0 0.0 0.0 1.0 63817.0 1499136.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28160.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2411776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5099373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4308603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.518795 0.0 4.7562914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1019904.0 -3890.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28078.0 0.0 2776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 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 -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 0.0 0.0 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 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 39732.0 2776.0 1490944.0 0.0 0.0 0.0 0.0 2404.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.12144566 0.010418304 0.0070640137 0.008064228 0.0073212115 0.0059798528 0.0033542903 0.0037758092 0.012097235 0.0022147603 0.0020218617 0.0016414232 0.0064924625 0.0033096378 0.0015503322 0.00858934 0.007564121 0.0016164178 0.0012931343 0.0018289634 0.00577981 0.002357648 0.0012163321 0.0011931128 0.0038258198 0.0017575194 0.0011859684 0.0012252625 0.0032114023 0.0011823962 0.0010645138 0.0013663642 0.004479531 0.0010162892 0.0015306851 0.0011377438 0.019045152 0.0024219477 0.0010145031 0.001085947 0.002191541 0.0013574337 0.0010145031 0.005170751 0.0017164393 0.0011716797 0.0010841609 0.0009502036 0.0038794028 0.0022665572 0.0021968994 0.006272773 0.0027934557 0.0047403015 0.0022611988 0.0023129957 0.0032453383 0.003182825 0.0024201614 0.0049403445 0.002688076 0.0023826535 0.0021200972 0.0021772522 0.0043223547 0.002304065 0.0017825249 0.001896835 0.010354005 0.020504395 0.0031042367 0.013297493 0.0028291778 0.0014520969 0.0014628135 0.0012002572 0.0043187826 0.007072944 0.0015860541 0.0012859899 0.0065799817 0.003220333 0.0013413589 0.0030542258 0.0026916482 0.0044438094 0.003390012 0.003036365 0.002336215 0.004434879 0.0014288776 0.0017718083 0.0036847182 0.004911767 0.0022558405 0.0019379152 0.002082589 0.0016521397 0.0010520112 0.0015199686 0.0039901407 0.0036668573 0.002521969 0.001196685 0.006094163 0.0051653925 0.0055101095 0.0024326642 0.0022915625 0.0012895621 0.00169322 0.0018896906 0.0024040865 0.0009805673 0.0026005572 0.0021593913 0.008335715 0.008267843 0.0016825034 0.00169322 0.0023880117 0.0013520755 0.0010216475 0.0010627278 0.0020879474 0.0026094879 0.0017164393 0.0015021076 0.0031203115 0.0017896692 0.0012038294 0.009777095 0.0036382796 0.012609845 0.0012609845 0.0011055941 0.0025076803 0.012106165 0.0015253269 0.029783167 0.0017378724 0.011052368 0.001123455 0.0011841824 0.0021308137 0.0010073588 0.0010841609 0.0013413589 0.0013913696 0.00176645 0.00093412877 0.0011341716 0.0018289634 0.0011931128 0.0011055941 0.0010020004 0.0014860327 0.0023862256 0.0009894978 0.0013842252 0.0022254768 0.0021951133 0.0013520755 0.0016985782 0.0015503322 0.0018307494 0.000957348 0.0010234336 0.0018486105 0.001012717 0.0009519897 0.0011055941 0.001695006 0.0010216475 0.0009680646 0.0033667928 0.0020290061 0.0010984497 0.0010216475 0.0011288134 0.001896835 0.0022594128 0.0021772522 0.0017700221 0.0030703007 0.0013663642 0.001121669 0.0011341716 0.0014288776 0.0017807387 0.0012717011 0.0011270272 0.0072979922 0.0058637564 0.003443595 0.0034757447 0.0030506537 0.0011055941 0.00350075 0.005615489 0.005342216 0.003073873 0.0019789955 0.0013002786 0.0032453383 0.0011931128 0.0014217332 0.0012967064 0.0031078088 0.0016967922 0.0017235837 0.0014038723 0.002666643 0.0012842037 0.0017021504 0.0013181396 0.002909552 0.0020129313 0.0011198828 0.0015967707 0.015072873 0.012838465 0.004061585 0.0017182253 0.004199114 0.0018575409 0.0012127599 0.0010645138 0.003132814 0.0014788883 0.0010823748 0.0010734443 0.013649354 0.004826034 0.0012288347 0.003829392 0.005704794 0.0010877331 0.0012091877 0.0015735514 0.0046634995 0.0014645995 0.0015414017 0.0014503108 0.0031917554 0.0021986854 0.0027755948 0.0021111667 0.0058994787 0.0018164606 0.0020057869 0.0034257341 0.008174966 0.0040258626 0.00824641 0.067696646 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 0.010572857 0.00044886037 0.0005483085 0.00039152094 0.0015526448 0.0005106795 0.001398545 0.0008341098 0.00048380162 0.00037718608 0.0005205347 0.00080454414 0.00069165713 0.00053218176 0.00077945815 0.0015714593 0.0107395 0.0014290066 0.0015006809 0.018543936 0.0024539493 0.0018276949 0.0024888904 0.0021063287 0.002028383 0.0015669797 0.0016825545 0.0018438217 0.0019217675 0.0019316227 0.001965668 0.0046848124 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 0.05837335 0.015340094 0.021610701 0.010406214 0.032689758 0.020392237 0.013033078 0.013561675 0.037463266 0.0032602854 0.0057258816 0.004987636 0.019474806 0.020560673 0.016533472 0.031357512 0.013909296 0.010713518 0.010666929 0.010549563 0.010942875 0.010468929 0.010614966 0.010329165 0.011297664 0.010916893 0.01070635 0.010794152 0.010445635 0.0105298525 0.010638259 0.01078788 2006.0 10.398305 20859.0 0.020806367 0.0038352748 0.0054652668 0.003787334 0.013279639 0.003691452 0.0041708616 0.0065679085 0.0062323217 0.0033558656 0.00460233 0.0054652668 0.006807613 0.0045064483 0.005992617 0.004889976 0.024258114 0.017834028 0.017019033 0.018696966 0.019703725 0.019176375 0.016587565 0.018121675 0.019847548 0.019032551 0.018265497 0.018888729 0.01792991 0.015628746 0.015532863 0.014478163 0.0076705497 0.008149959 0.0049858573 0.0092526 0.010642888 0.0062802625 0.007047318 0.007814373 0.008341723 0.0057049715 0.0035476293 0.0041229203 0.008149959 0.0057049715 0.0045064483 0.0069993767 0.013471403 0.007047318 0.005896735 0.011457884 0.009684069 0.0058008535 0.007718491 0.009492305 0.0055611487 0.0050817393 0.004889976 0.004458507 0.0069993767 0.0043146843 0.004027039 0.007382904 0.007622609 0.017162856 0.008437605 0.016779328 0.016012274 0.03581188 0.007958195 0.008533487 0.011362002 0.017834028 0.008149959 0.005944676 0.018073734 0.009348483 0.0174505 0.022196654 0.009396424 0.0035955703 0.023395177 0.017738147 0.032024547 0.01179347 0.0055132075 0.0062802625 0.009300542 0.007814373 0.004698212 0.0038832158 0.0065679085 0.003643511 0.0034038066 0.0056090895 6.321578 0.0 9.0 0.0 6.0 559880.0 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 553896.0 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: 0.30391818 0.01207622 0.0064629014 0.008111497 0.008920625 0.0045715673 0.0031050246 0.0033983332 0.018539121 0.0033174206 0.0027004613 0.0043793996 0.009598268 0.0021947569 0.0020531598 0.006139251 0.0064325593 0.0010923214 0.00086981145 0.0011125496 0.0030139978 0.00348936 0.0011125496 0.00093049597 0.0032769642 0.0010114086 0.0012136904 0.0019419047 0.0034185613 0.0010720933 0.0021947569 0.0023970385 0.006614613 0.0012136904 0.0010923214 0.0025082936 0.0055121775 0.0014159721 0.00086981145 0.0005562748 0.0020632737 0.00097095233 0.0005259325 0.0030847965 0.0012743749 0.0009608383 0.0010923214 0.0007282143 0.002447609 0.0015171131 0.0009911805 0.009972489 0.0014260863 0.0016485961 0.00079901284 0.0007686706 0.0019216766 0.001992475 0.00097095233 0.003833239 0.0015676834 0.0011530059 0.00081924105 0.0009203819 0.009052108 0.011368234 0.0008495833 0.0016485961 0.0036815277 0.009588154 0.00465248 0.0025689781 0.0025082936 0.0012743749 0.0007888988 0.0007282143 0.0016991666 0.0050570434 0.0024273808 0.0012035763 0.009335302 0.001628368 0.0018003074 0.00465248 0.0022453272 0.0060279956 0.0052795536 0.004804191 0.001982361 0.005046929 0.00082935515 0.0017295089 0.0011125496 0.004804191 0.0032769642 0.0025487498 0.00116312 0.0027712598 0.0010923214 0.0019520188 0.0025487498 0.005926855 0.0016789384 0.0013451736 0.002902743 0.0037927825 0.0057751434 0.00075855653 0.0025184075 0.0014159721 0.0032365078 0.002922971 0.002336354 0.0004753621 0.0039343797 0.0029330852 0.0109131 0.010609677 0.0021644146 0.0013148313 0.0013047172 0.0014665426 0.00059673114 0.0005461607 0.0012844891 0.004065863 0.0013047172 0.0013350595 0.0042175744 0.0016485961 0.0011732341 0.0111153815 0.002801602 0.005825714 0.0007484424 0.00086981145 0.0028117162 0.013360709 0.0034185613 0.029785985 0.0009406101 0.007797961 0.00086981145 0.0012136904 0.0012339186 0.0006068452 0.0005259325 0.0009102678 0.0006877579 0.0012035763 0.0005057043 0.0003742212 0.0008394692 0.0006776438 0.000697872 0.0003843353 0.0015171131 0.0009911805 0.00064730155 0.00048547616 0.0009406101 0.0013148313 0.0005663889 0.0008495833 0.0008394692 0.0007383283 0.00043490573 0.00042479165 0.0010822073 0.00057650293 0.0005562748 0.0006068452 0.0006877579 0.00035399303 0.0003944494 0.00048547616 0.00080912694 0.0004551339 0.00042479165 0.0005057043 0.00075855653 0.00042479165 0.0019419047 0.0010114086 0.0011732341 0.00046524798 0.0007484424 0.0005562748 0.0011833481 0.00086981145 0.00097095233 0.0008394692 0.005967311 0.0094971275 0.0014766566 0.005451493 0.0030949106 0.00049559027 0.0017497371 0.0032162797 0.0020127033 0.002437495 0.0014766566 0.00080912694 0.0021846427 0.0005158184 0.0006877579 0.00080912694 0.0014564286 0.0013148313 0.0020430456 0.0040051783 0.0010619791 0.0004753621 0.0011125496 0.0015980257 0.0017396229 0.0009102678 0.0015272271 0.0015676834 0.0012844891 0.0004551339 0.0016688243 0.0013148313 0.0028218303 0.0009406101 0.0011226636 0.0018104216 0.0014665426 0.00041467758 0.001051865 0.0014058581 0.008950967 0.0022958978 0.0026296626 0.0053806943 0.002902743 0.00046524798 0.0013350595 0.0010012946 0.0049053323 0.0023970385 0.0026296626 0.0014058581 0.003165709 0.00057650293 0.0026094343 0.0025487498 0.00532001 0.0012541468 0.0026397768 0.0015777976 0.00537058 0.0014867708 0.0033275345 0.030605227 0.07349918 0.0 2.5699013e-05 0.0 5.139803e-06 5.139803e-06 8.737665e-05 6.167763e-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 0.009606292 0.00023129112 1.5419408e-05 1.5419408e-05 0.00030838815 7.1957234e-05 1.0279606e-05 6.681743e-05 7.709704e-05 2.0559211e-05 5.139803e-06 1.0279606e-05 5.139803e-06 2.0559211e-05 3.0838815e-05 3.0838815e-05 0.018832237 0.00010279605 0.0002055921 0.00013363487 0.00016961349 0.00011307566 0.0004009046 0.00026726973 0.00017989309 4.1118423e-05 0.00011307566 0.00014905428 6.681743e-05 0.00011821546 4.6258225e-05 0.00011307566 0.04512233 0.0007606908 0.00043174342 0.0004214638 0.0006064967 0.0014956825 0.0003854852 0.00048314146 0.00058079767 0.0001901727 0.00026726973 0.0002055921 0.00049856084 0.00033408718 0.00028782894 0.0005602385 0.024259869 0.00030324835 0.0008377878 0.00012849507 0.00066303456 0.00043688322 0.003047903 0.001511102 0.00013877467 3.0838815e-05 2.0559211e-05 1.0279606e-05 7.1957234e-05 2.5699013e-05 2.5699013e-05 6.681743e-05 0.015912829 0.00067331415 0.00043688322 0.0001901727 0.00071443256 0.0005088405 0.0008018092 0.00050370063 0.00035464638 0.00011821546 0.00012335526 7.709704e-05 0.00011821546 0.0001747533 7.1957234e-05 0.00027240955 0.027852591 0.00022615131 0.0013260691 0.00049856084 0.0014699836 0.00068359374 0.0035259046 0.0020250822 0.0010228207 9.251645e-05 3.0838815e-05 3.5978617e-05 0.00028782894 4.6258225e-05 0.00015419407 0.0028268914 0.012618216 0.00015419407 0.00072985195 0.00043688322 0.00052939967 0.0006990132 0.0023488898 0.0014185855 0.00065789477 8.737665e-05 3.5978617e-05 4.1118423e-05 0.00012849507 3.5978617e-05 7.709704e-05 0.0010536596 0.016714638 0.0006167763 0.00081208884 0.00045744242 0.0016498766 0.0013209293 0.0038959703 0.0020199425 0.0008891859 0.00025185032 0.00025699014 0.00032894738 0.00052939967 0.00040604442 0.00044716283 0.0009817024 0.006974712 0.00033922697 0.0011410362 0.0005191201 0.0015573602 0.00086862664 0.0058696545 0.0028525905 0.000107935855 6.167763e-05 6.681743e-05 0.00010279605 7.709704e-05 9.251645e-05 7.709704e-05 0.00034436677 0.008347039 0.0005550987 0.0013414884 0.00070929277 0.0010433799 0.000704153 0.0039268094 0.0021535773 0.00030838815 0.00017989309 0.0002107319 0.00022615131 0.0002004523 0.00025699014 0.00031352797 0.0005756579 0.0075914883 0.0005653783 0.0004111842 0.0012129934 0.0016190378 0.0016190378 0.00022101152 0.0006373355 0.0024362665 0.00081208884 0.00023643092 0.0002055921 0.0009354441 0.0006167763 0.0007863898 0.001146176 0.07862356 0.015815172 0.010999178 0.014612459 0.028340872 0.026177015 0.006943873 0.016709499 0.05258018 0.0038188733 0.0022615131 0.0036646794 0.021114308 0.010248766 0.018200042 0.037258428 0.041041326 0.009565173 0.006352796 0.008891858 0.015964227 0.018035568 0.0053556743 0.011132812 0.025154194 0.0019377056 0.002287212 0.0026675577 0.013121916 0.005797697 0.010495477 0.022198807 0.008943257 0.004846834 0.0054893093 0.004733758 0.0050884048 0.004836554 0.0051398026 0.0050164475 0.005155222 0.0044099507 0.004713199 0.0051449426 0.005001028 0.005186061 0.005252878 0.005252878 388.0 11.126288 4317.0 0.040305767 0.0009265694 0.0016214964 0.0009265694 0.0053277737 0.0011582117 0.0004632847 0.00069492706 0.0064859856 0.0004632847 0.0004632847 0.0011582117 0.0018531388 0.0044012046 0.0044012046 0.0018531388 0.008339125 0.0027797082 0.0039379196 0.018994672 0.0030113505 0.0016214964 0.003474635 0.0011582117 0.0044012046 0.0039379196 0.0020847812 0.0016214964 0.0044012046 0.0013898541 0.0009265694 0.0011582117 0.0032429928 0.015056753 0.0037062776 0.010192263 0.008570767 0.0062543433 0.0106555475 0.011350475 0.0064859856 0.0064859856 0.0009265694 0.0011582117 0.0057910588 0.007180913 0.0020847812 0.0039379196 0.040305767 0.0018531388 0.00694927 0.02270095 0.008107482 0.0041695624 0.006022701 0.01389854 0.0011582117 0.003474635 0.0004632847 0.0018531388 0.0004632847 0.0016214964 0.0032429928 0.0032429928 0.0023164235 0.040305767 0.008570767 0.023395877 0.030345147 0.09265694 0.0057910588 0.012971971 0.013435256 0.046096828 0.004864489 0.0030113505 0.03567292 0.015520037 0.04725504 0.0454019 0.013666898 0.0004632847 0.05258281 0.024090804 0.066713 0.018531388 0.0076441974 0.0064859856 0.0064859856 0.009728978 0.0016214964 0.0 0.00023164235 0.0009265694 0.0018531388 0.0030113505 5.4854083 1.0 0.0 0.0 1.0 98872.0 102400.0 0.0 0.0 124.0 0.0 1.0 0.0 0.0 0.0 962399700.0 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 57344.0 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 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 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 7.33407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3209822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7304826 0.0 3.333671 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13890.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14628.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55702.0 0.0 5256.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 1.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 72472.0 5256.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 520.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.2068294 0.03168971 0.016201722 0.00410396 0.01009931 0.0040427833 0.0037216037 0.0013815816 0.008717729 0.0013051103 0.0012082467 0.000994127 0.004863575 0.0021819812 0.000876871 0.0038847425 0.024052775 0.0009635385 0.0006270647 0.0007647131 0.0036604267 0.0066326116 0.00084628246 0.00058628 0.0030129696 0.0013000122 0.0005505934 0.00066784944 0.00210551 0.00081569393 0.00053020107 0.00065255514 0.004975733 0.0004435336 0.0011470696 0.0003109833 0.014529549 0.002396101 0.00050471065 0.00040274888 0.002513357 0.0004945145 0.0005607896 0.0019627635 0.0018557038 0.0007137322 0.0023145315 0.00069333985 0.0060259392 0.0030690485 0.0028192422 0.0052918145 0.0026459072 0.0021462948 0.0019117827 0.0016925649 0.003502386 0.0026051225 0.0027631633 0.004486317 0.0026153186 0.0026561033 0.0017486439 0.0034361107 0.007876544 0.0040478813 0.0022176679 0.0019015865 0.010532648 0.009762837 0.0026510053 0.0030690485 0.0024725723 0.0043639624 0.0013713854 0.000759615 0.0055977 0.00738203 0.0032882662 0.0008309882 0.009982055 0.0051337737 0.0031353235 0.0050624004 0.00434357 0.006372609 0.0040019983 0.0039969003 0.0030741466 0.0013917778 0.0009023614 0.0013000122 0.0052969125 0.0022686487 0.0024674742 0.005439659 0.00093804806 0.0081671355 0.001697663 0.0062400587 0.0059800562 0.009599698 0.0029314002 0.0027784575 0.007229088 0.0057608387 0.005771035 0.0023859048 0.006617317 0.0034004243 0.006367511 0.0071628126 0.005225539 0.0012949142 0.009609895 0.008014193 0.01606917 0.0063471184 0.0013866797 0.0016823688 0.0019372732 0.0010655002 0.0004843183 0.00051490683 0.0024929647 0.0016517802 0.001524328 0.00034157184 0.0020341368 0.001050206 0.00073412457 0.01183266 0.0035278765 0.006326726 0.0010604021 0.00053020107 0.0014733472 0.01122089 0.00089216523 0.030185774 0.0011878543 0.010471471 0.0004384355 0.00030588525 0.0015702109 0.00030078716 0.00044863168 0.0010298137 0.0010553041 0.0007953016 0.00042314123 0.0003109833 0.00074432074 0.00030078716 0.0009278519 0.000759615 0.0010909906 0.0003568661 0.0002803948 0.00030078716 0.001167462 0.0017792324 0.00037725846 0.0010807945 0.0009839308 0.00038745464 0.00042314123 0.0003568661 0.001111383 0.00037725846 0.00044863168 0.0003109833 0.0011419716 0.0003109833 0.00042314123 0.00038745464 0.0009992251 0.00034157184 0.0003568661 0.00046392594 0.0010298137 0.00045372976 0.0009788327 0.00066784944 0.002401199 0.00058628 0.00039255273 0.00048941636 0.0010655002 0.0005352991 0.0008003997 0.00033647375 0.008009095 0.0051541664 0.0037012114 0.0046392595 0.005587504 0.0010298137 0.003165912 0.0053020106 0.0023196298 0.0012337371 0.0004792202 0.00041804314 0.024506506 0.00041804314 0.00092275377 0.0005709858 0.0016313879 0.0006627513 0.0008258901 0.0006321628 0.0010909906 0.0004945145 0.00056588766 0.0005607896 0.0012898161 0.00045372976 0.0002803948 0.0006321628 0.0009431461 0.0003619642 0.00035176802 0.0005200049 0.0017639382 0.00042823932 0.00053020107 0.00024470818 0.0016772707 0.0014478568 0.00040784696 0.00039255273 0.01076716 0.002686692 0.00036706228 0.0031200293 0.0050624004 0.00041294505 0.00040784696 0.0004945145 0.002747869 0.0006729475 0.00036706228 0.00058118196 0.0017384477 0.00034666993 0.0009176557 0.0011470696 0.0030792446 0.00084628246 0.0007545169 0.0010807945 0.004501611 0.0012439332 0.0029925772 0.041009013 0.036842104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044305096 0.0 3.0838815e-05 5.139803e-06 0.0039473684 0.0013157895 0.00012592516 6.938734e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006013569 0.008981805 5.1398027e-05 0.00011564556 6.4247535e-05 0.00014391447 0.00013877467 0.00053967925 0.00029553866 3.0838815e-05 2.3129112e-05 1.7989309e-05 5.1398027e-05 3.0838815e-05 1.0279606e-05 2.0559211e-05 1.0279606e-05 0.008380448 0.00015419407 0.00031866776 0.00028268914 0.0037212172 0.0013363487 0.0010125411 0.00045230263 2.8268914e-05 5.139803e-06 2.3129112e-05 1.0279606e-05 2.3129112e-05 1.2849507e-05 1.5419408e-05 1.2849507e-05 0.011651932 0.0007863898 0.0002107319 9.251645e-05 0.00018246299 0.00034693666 0.0003700658 0.00022358142 0.00030067845 0.0001876028 0.00013877467 0.00022615131 6.681743e-05 7.1957234e-05 8.737665e-05 0.00084549753 0.021157997 0.0021073192 0.00058079767 0.00043174342 0.0006116365 0.00043688322 0.00092259457 0.0004034745 0.00014391447 0.00051141036 0.00089689554 0.00023386102 0.00015419407 0.00012849507 0.00014648438 0.0027112458 0.028587582 0.0022486637 0.0007221423 0.002397718 0.0016730058 0.0011667352 0.0025853207 0.0014674136 0.0007504112 0.0006990132 0.0007349918 0.00060392683 0.0012592516 0.00032123766 0.00046001232 0.0016909951 0.03930921 0.0005833676 0.0039216694 0.0034488076 0.008221114 0.011166221 0.036315277 0.020888157 0.0008146587 0.00021587171 0.00021587171 0.00024157073 0.00026983963 0.0001850329 0.00022872121 0.00029039884 0.011063425 0.0006116365 0.0020122328 0.0048571136 0.012875206 0.008190275 0.016820004 0.010189659 0.0004214638 0.0001927426 0.0001927426 0.00015933388 0.00030838815 0.00016447369 0.00017989309 0.00018246299 0.009051193 0.0022152548 0.001511102 0.019292248 0.0023000618 0.001983964 0.0036415502 0.0021304481 0.0015162418 0.0012104235 0.0014262953 0.0012078537 0.0012721012 0.0012027138 0.0013389186 0.0013312089 0.0053685238 0.0012386924 0.0005602385 0.00048314146 0.0016113281 0.001354338 0.00034436677 0.000832648 0.00390882 0.00010279605 0.00014391447 0.00031352797 0.0019402755 0.0001901727 0.001066509 0.0015933388 0.07337839 0.022103721 0.013625617 0.008665707 0.023046875 0.023383532 0.009416118 0.0124126235 0.051757812 0.003877981 0.0038420025 0.0052169 0.04299188 0.0050447164 0.017321134 0.036546566 0.043408204 0.01563271 0.011968031 0.009256785 0.010061163 0.013484272 0.010965769 0.010300164 0.02397718 0.0034976357 0.0032380756 0.003515625 0.019495271 0.0038394325 0.009380139 0.01850586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1153.0 27.446661 31646.0 0.0097010685 0.0006319914 0.0010111863 0.00066359097 0.009732667 0.0013271819 0.0007267901 0.0006003918 0.0015799785 0.00069519057 0.00050559314 0.0005371927 0.0023383682 0.0014219807 0.010838653 0.0025279657 0.01621058 0.011375845 0.008184289 0.005940719 0.0049927323 0.005371927 0.0040131453 0.003823548 0.0073942994 0.0048663337 0.0077418946 0.003981546 0.0050875307 0.006351514 0.0033495545 0.014851798 0.03469633 0.019086141 0.0025595652 0.0049611325 0.03314795 0.0046451367 0.0048347344 0.013335018 0.0035075522 0.020381723 0.0032863554 0.0009479871 0.011818239 0.006225115 0.012355432 0.0013587815 0.019180939 0.0078050937 0.0030335588 0.017063769 0.011186248 0.0043607405 0.0068887062 0.009922265 0.01393541 0.001548379 0.0041395435 0.0010743854 0.025121659 0.0010743854 0.0012323832 0.023668079 0.0010111863 0.041806232 0.008184289 0.034064338 0.013493016 0.03968906 0.006003918 0.013587815 0.0098590655 0.026259243 0.007204702 0.011344246 0.027618024 0.01684257 0.030556785 0.035549518 0.023036087 0.006446312 0.04499779 0.03586551 0.049958922 0.0110598495 0.0026543639 0.006098717 0.0033495545 0.0032863554 0.0007583897 0.000442394 0.0011691841 0.00028439614 0.00047399354 0.00028439614 5.827629 0.0 21.0 0.0 2.0 196152.0 188416.0 1.0 5.0 285.0 1.0 1.0 1.0 0.0 0.0 1396585100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 110592.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 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 -110592.0 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 -5.9015694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.199262 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2838964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4113965 0.0 4.382491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51625.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108381.0 0.0 1284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -3.0 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 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 -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 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 -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 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 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 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 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 3.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 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 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 -2.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 -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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 217.0 166096.0 260.0 155012.0 1284.0 172032.0 0.0 0.0 7736.0 188416.0 8008.0 176128.0 28.0 115920.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 144328.0 0.0 0.0 1188.0 114688.0 0.0 0.0 0.0 0.0