Input: 0.09466795 0.012879279 0.0061097993 0.00681523 0.020312868 0.004695986 0.004158796 0.004474616 0.017501475 0.0023553718 0.007696281 0.0039876034 0.010253837 0.008277745 0.0016086187 0.010104782 0.024108618 0.0018344156 0.0009194215 0.0010123966 0.0070602125 0.0038621605 0.0012898465 0.0007305195 0.005013282 0.00078807556 0.000479634 0.00094008265 0.003561098 0.0008057851 0.0006242621 0.0010478158 0.0036437425 0.0006729634 0.00047077922 0.0009636954 0.03256641 0.0011496458 0.00036157024 0.00036747343 0.0027228454 0.00074232585 0.00049734354 0.0028364817 0.0017768595 0.00070247933 0.00046782763 0.00045602125 0.0024631051 0.00084120425 0.00065230223 0.007842385 0.0016514168 0.00079102715 0.00053866586 0.00046340024 0.00267562 0.0029368359 0.0006286895 0.006918536 0.0016543684 0.0014684179 0.0008264463 0.00058884296 0.003524203 0.0020956316 0.0016971665 0.00089433294 0.01156582 0.008044569 0.005081169 0.0015717237 0.003633412 0.0010684769 0.0008043093 0.0005548996 0.006912633 0.0038178866 0.0022904368 0.000653778 0.015075265 0.0063842977 0.0034327037 0.0047491146 0.0042281584 0.0034061393 0.008941853 0.0055489964 0.0013665879 0.0044377213 0.00044273908 0.002820248 0.0025826446 0.0032895512 0.0061835893 0.0039551356 0.0010684769 0.0003394333 0.00020956316 0.0003379575 0.0032836483 0.0009548406 0.003198052 0.00027007083 0.0057733175 0.00036452184 0.0077420305 0.0005076741 0.0016543684 0.0003409091 0.0005076741 0.0003837072 0.001918536 0.0006154073 0.0018595041 0.0011762101 0.01449085 0.011617473 0.001264758 0.001162928 0.0015613931 0.0007674144 0.00029811097 0.00035419126 0.0033161156 0.0031301654 0.0021900826 0.0013739669 0.0037514758 0.0021694214 0.00042207792 0.020913519 0.0049380166 0.0112160565 0.0007201889 0.00047520662 0.0023966942 0.018727863 0.0015746753 0.053140495 0.001911157 0.013780992 0.00054456905 0.0004383117 0.00088842976 0.00027007083 0.00030253836 0.00034681227 0.0013680637 0.00053423847 0.00022432113 0.00016824085 0.0007659386 0.00042060213 0.00016086186 0.00037042503 0.001118654 0.00030548996 0.0002848288 0.0009710744 0.00064492325 0.0029324086 0.000385183 0.0013164108 0.0009031877 0.00058293977 0.00021841795 0.00030253836 0.000857438 0.00036009445 0.00023317592 0.0002818772 0.00084120425 0.00022284534 0.0002863046 0.0002863046 0.0009563164 0.00029811097 0.00079397875 0.0002405549 0.00090023613 0.00026269184 0.0017635773 0.0011393152 0.0026283944 0.0007319953 0.00042060213 0.00044126328 0.0010788075 0.00036452184 0.0009223731 0.00068329397 0.012390791 0.0054087956 0.007129575 0.009340319 0.009169126 0.0009607438 0.005625738 0.008103601 0.0026726683 0.003720484 0.0013178866 0.00088695396 0.05798406 0.00058736716 0.00201889 0.0010419126 0.0029161747 0.001548111 0.0029102715 0.000872196 0.0010212514 0.00054899644 0.000755608 0.0007644628 0.0017532468 0.0006655844 0.00045159386 0.0014846517 0.0012367178 0.0007246163 0.00045602125 0.0005209563 0.002237308 0.00059769774 0.0006700118 0.0004855372 0.0014698937 0.00053423847 0.00049881934 0.0004324085 0.020845631 0.0033382527 0.00054899644 0.005051653 0.0037691854 0.00068329397 0.000574085 0.00055047224 0.0038326446 0.002383412 0.0009976387 0.0009873081 0.0017945691 0.0005652302 0.0038828216 0.0024291617 0.004316706 0.0019214876 0.0015643447 0.0017163518 0.0035802834 0.0022683 0.004468713 0.04570543 0.003030303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013057825 1.7015862e-05 3.7730824e-05 7.398201e-06 2.5893703e-05 1.5536221e-05 2.9592804e-05 2.2934422e-05 7.3982005e-07 1.6276043e-05 4.4389203e-06 8.877841e-06 9.617661e-06 3.6991005e-06 5.1787406e-06 4.4389203e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00022638495 7.398201e-06 2.5893703e-05 3.4771543e-05 2.6633523e-05 5.4006865e-05 3.6991005e-06 2.8852983e-05 0.00015758167 1.7015862e-05 7.3982005e-07 3.6991005e-06 0.00086854876 1.9975141e-05 8.877841e-06 3.1072443e-05 0.002162494 0.000110973015 0.00012281013 0.00012133049 0.00019383286 0.00031590316 4.3649383e-05 0.00015166312 0.0008241596 3.4771543e-05 1.4056582e-05 4.2169744e-05 0.0031013258 0.00010727391 7.324219e-05 0.00015610203 0.0009602865 0.0001805161 0.00013094816 3.1072443e-05 0.00014056581 0.00010431463 1.6276043e-05 4.1429925e-05 0.00035437383 1.10973015e-05 2.9592802e-06 6.1405066e-05 0.0008581913 5.1047584e-05 3.6251186e-05 4.9567945e-05 0.006019176 0.00096768467 0.0010009765 0.000509736 0.0012850675 0.0014315519 0.0002544981 0.00084857363 0.0034808535 0.000119850854 9.173769e-05 0.00018717448 0.009161192 0.00039950284 0.00050677673 0.0010083747 0.020168975 0.0035045277 0.0038256096 0.0022512726 0.0041629677 0.006122011 0.0012465968 0.0035785097 0.011621093 0.00045794863 0.00054302794 0.0006939512 0.021582032 0.0013509115 0.0022431344 0.0045262193 0.10666208 0.026126007 0.025690991 0.0149132935 0.025952889 0.03717004 0.012925397 0.021884618 0.06886985 0.004502545 0.0049272017 0.006927675 0.059187826 0.008267489 0.018553209 0.03774192 0.07522935 0.023241447 0.019619288 0.015061257 0.022376599 0.03177749 0.012437115 0.020627663 0.051957563 0.0033158737 0.0050766454 0.0056840377 0.03354714 0.008452444 0.020797081 0.038677793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1817.0 5.525041 10039.0 0.017232792 0.0016933958 0.0007968921 0.0010957266 0.08915231 0.0010957266 0.0019922303 0.0011953382 0.012451439 0.0008965036 0.0015937842 0.0029883455 0.011754159 0.0031875684 0.0021914532 0.0011953382 0.0144436695 0.0018926188 0.0007968921 0.0066739717 0.008168144 0.0005976691 0.00069728063 0.0008965036 0.0060763024 0.016137065 0.0018926188 0.011654547 0.009463094 0.0026895108 0.0012949497 0.0016933958 0.008965036 0.0041836835 0.0015937842 0.0014941727 0.024205599 0.0025898993 0.005080187 0.0027891225 0.010160374 0.0018926188 0.0013945613 0.00069728063 0.02231298 0.0010957266 0.0021914532 0.0005976691 0.066540495 0.03217452 0.028488893 0.08496862 0.020121526 0.030481124 0.0821795 0.05209682 0.0041836835 0.021516087 0.0010957266 0.023109872 0.008765813 0.025201714 0.026098218 0.023807151 0.0029883455 0.0010957266 0.00039844605 0.0008965036 0.003486403 0.00069728063 0.0051797987 0.00019922302 0.018726965 0.0007968921 0.020021915 0.00029883455 0.0070724175 0.00029883455 0.0007968921 0.0010957266 0.0033867916 9.961151e-05 0.005080187 0.0011953382 0.03137763 0.015041339 0.0010957266 0.0010957266 0.0027891225 0.00029883455 0.00039844605 0.00029883455 0.008168144 0.00328718 0.002291065 0.0023906764 5.279278 0.0 0.0 0.0 2.0 677600.0 1007616.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1427699300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 700416.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -700416.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5490413 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 131865.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -697628.0 0.0 49368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 169.0 836208.0 240.0 828868.0 49368.0 909312.0 0.0 0.0 8984.0 995328.0 42816.0 962560.0 28.0 706032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1352.0 704512.0 0.0 0.0 0.0 0.0


Input: 0.2922309 0.02280816 0.02797309 0.008962674 0.020703126 0.0062717013 0.01751302 0.007942708 0.0065104165 0.004513889 0.031076388 0.003515625 0.0031467015 0.0033420138 0.0046006944 0.0024088542 0.0035807292 0.007204861 0.007552083 0.00390625 0.0021918402 0.0027560764 0.0041015623 0.0032552083 0.001844618 0.0023654513 0.0019314236 0.0025607639 0.0036675348 0.00234375 0.0025173612 0.002907986 0.009396701 0.0021050347 0.0016927083 0.0012803819 0.001453993 0.0022135417 0.0012369792 0.0008246528 0.008420139 0.0017361111 0.006119792 0.0017795139 0.00390625 0.0020399306 0.003689236 0.0004123264 0.003971354 0.0015625 0.0013020834 0.001996528 0.0013671875 0.0012152778 0.0006510417 0.0006727431 0.0010850695 0.0007595486 0.00052083336 0.00030381946 0.0010850695 0.0006293403 0.0011501736 0.00086805556 0.0011067708 0.0032552083 0.0028211805 0.0035590278 0.0028645834 0.0028211805 0.0028862846 0.002235243 0.003624132 0.003515625 0.0006510417 0.00056423614 0.0022569445 0.0022569445 0.0013888889 0.0013888889 0.0023871528 0.0009548611 0.0022135417 0.005533854 0.0052734376 0.0009765625 0.0034939237 0.0018663194 0.0013237847 0.0016276041 0.0014756945 0.00086805556 0.0011067708 0.0011935764 0.0008029514 0.0068793404 0.00047743056 0.0155164935 0.0046223956 0.0050564236 0.0055555557 0.029622396 0.0019314236 0.005512153 0.0044921874 0.014583333 0.00047743056 0.0023871528 0.012174479 0.009331597 0.010438368 0.033376735 0.010373264 0.000499132 0.019639757 0.013715277 0.023372395 0.005360243 0.0016927083 0.0032118056 0.0012369792 0.0043185763 0.0009548611 0.011783854 0.00021701389 0.0031684027 0.0006076389 0.0006510417 0.0029296875 0.0044487845 0.00086805556 0.0006727431 0.00017361112 0.0006727431 0.0017795139 0.00034722223 0.00023871528 0.00047743056 0.00045572917 0.00026041668 0.0005859375 0.0006727431 0.00032552084 0.00021701389 0.00021701389 0.00073784724 0.00030381946 0.000108506945 0.00073784724 0.00026041668 0.000390625 0.00028211807 0.00030381946 0.00052083336 0.00069444446 0.00036892362 0.00030381946 0.000499132 0.00026041668 0.000499132 0.0004123264 0.0007595486 0.0012369792 0.00052083336 0.0006293403 0.0008246528 0.00071614585 0.0006510417 0.0006076389 0.0008246528 0.00032552084 0.00034722223 0.000499132 0.0004123264 0.0004123264 0.00017361112 0.00045572917 0.000499132 0.000499132 0.00023871528 0.0005859375 0.00091145834 0.0007595486 0.00052083336 0.00023871528 0.00052083336 0.00026041668 0.00026041668 0.00034722223 0.00045572917 0.00028211807 0.00028211807 0.00054253475 0.000499132 0.001171875 0.000108506945 0.0004123264 0.00034722223 0.000390625 0.00028211807 0.00043402778 0.00069444446 0.0012586806 0.00032552084 0.00028211807 0.00043402778 0.00032552084 0.00023871528 0.00043402778 0.000499132 0.0006293403 0.00017361112 0.00026041668 0.00036892362 0.0004123264 0.00030381946 0.00056423614 0.001063368 0.000499132 0.00091145834 0.0014756945 0.00043402778 0.0013020834 0.0006510417 0.0019748264 0.00052083336 0.0012803819 0.00028211807 0.00026041668 0.0004123264 0.0009331597 0.0001953125 0.00021701389 0.0013454861 0.00052083336 0.00034722223 0.00045572917 0.0004123264 0.00043402778 0.0004123264 0.0006727431 0.00036892362 0.0009331597 0.00034722223 0.00045572917 0.00028211807 0.0001953125 0.00032552084 0.001171875 0.0008029514 0.00028211807 0.00023871528 0.00032552084 0.00021701389 0.00091145834 0.009461805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018454812 5.5486507e-05 0.00029962714 0.00028852982 0.00049937854 0.00032182175 0.0019420277 0.0007324219 2.2194603e-05 0.0 3.3291904e-05 2.2194603e-05 1.10973015e-05 0.0 3.3291904e-05 1.10973015e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.054754082 0.0035955256 0.0050270776 0.0018976385 0.013627485 0.013161399 0.07259855 0.0382524 0.00042169745 3.3291904e-05 0.00025523792 0.00013316762 0.00016645952 0.00026633524 0.00013316762 0.00022194603 0.11220481 0.008833452 0.015092329 0.0022527522 0.0075350674 0.0075017754 0.036288176 0.02705522 0.0010098544 0.0008988814 0.0031405361 0.0009654652 0.0009876598 0.0009654652 0.00067693536 0.0018643466 0.1447421 0.015969016 0.013161399 0.007080078 0.008500532 0.00810103 0.027510209 0.024813564 0.0044056284 0.002141779 0.0018532493 0.001364968 0.0017089844 0.0044278232 0.0025301846 0.004416726 0.07075639 0.017411666 0.008156517 0.0031183416 0.0033291904 0.0042946558 0.0064031426 0.0042613638 0.005781694 0.0018310547 0.00209739 0.0014093573 0.0013871626 0.0016424005 0.0028520063 0.0016313032 0.0316717 0.007479581 0.004461115 0.0018199574 0.0020419033 0.002397017 0.0038063743 0.0024525037 0.0026300603 0.0009654652 0.0010986328 0.0009099787 0.0011208274 0.0011985085 0.002874201 0.001253995 0.016235352 0.0009654652 0.0011097301 0.0020530007 0.0016867898 0.0022749468 0.006258878 0.0033069958 0.00057705963 0.00056596234 0.0007102273 0.0013760653 0.0013427734 0.0010986328 0.0008544922 0.005038175 0.005637429 0.0011097301 0.0015092329 0.0009099787 0.0006547408 0.0006658381 0.0036066228 0.0017533735 0.000588157 0.00018865411 0.00032182175 0.0010098544 0.0010875355 0.000588157 0.00019975142 0.0028963955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 666.0 14.597597 9722.0 0.0029829254 0.00010285949 0.00010285949 0.00041143797 0.00020571898 0.0 0.0 0.0 0.0 0.0 0.00010285949 0.0 0.0012343139 0.00041143797 0.008331619 0.0 0.004731537 0.0029829254 0.0029829254 0.001440033 0.0018514709 0.0013371734 0.00082287594 0.00082287594 0.00082287594 0.00092573545 0.00010285949 0.0 0.0024686279 0.0011314545 0.0024686279 0.00010285949 0.00010285949 0.009257355 0.008640197 0.011725983 0.010594528 0.0046286774 0.009051636 0.0070973053 0.010285949 0.009154495 0.00041143797 0.00051429746 0.0067887264 0.005040115 0.0031886443 0.0015428924 0.0065830075 0.00010285949 0.0055544125 0.019954741 0.015428924 0.0010285949 0.009463074 0.005245834 0.0010285949 0.0023657684 0.00030857848 0.0 0.0010285949 0.0 0.0 0.030137831 0.00041143797 0.055955566 0.015634643 0.017486114 0.019131865 0.11592265 0.0055544125 0.022114791 0.014091751 0.053692658 0.0010285949 0.006685867 0.04659535 0.03641226 0.038983747 0.051121168 0.019543303 0.00041143797 0.057909895 0.04032092 0.090413496 0.019646164 0.004731537 0.010388809 0.0039086607 0.014914626 0.0016457519 0.0 0.0 0.0 0.0 0.00020571898 5.05166 0.0 0.0 0.0 1.0 46080.0 73728.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542024800.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 43520.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7821665 0.0 3.1825218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43280.0 0.0 1028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 51376.0 1028.0 57344.0 0.0 0.0 0.0 0.0 12.0 65536.0 28.0 51064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.005559457 0.0040566525 0.0039561056 0.0039918865 0.003993686 0.0039341175 0.0039355163 0.0039321184 0.0039355163 0.0038945382 0.003945911 0.0038997354 0.003931319 0.003902534 0.003896737 0.0039281202 0.0039343173 0.0039109294 0.003879746 0.0038859427 0.003913328 0.003859157 0.0039209244 0.0039021343 0.003912129 0.003921324 0.0038825446 0.003906332 0.0038957377 0.0039109294 0.0038925393 0.003898736 0.0039111297 0.00390953 0.0038909402 0.0038675526 0.0039221235 0.0038619554 0.0038751485 0.003920125 0.003923523 0.0038493623 0.0038579577 0.0039609033 0.003937715 0.003900935 0.0039135283 0.003898736 0.0038941384 0.0038991359 0.0038379682 0.0039091306 0.0039069317 0.0038827446 0.0039003352 0.0038863425 0.00387235 0.0038733494 0.003937715 0.0039131283 0.0038921395 0.0038959375 0.0038945382 0.0038643542 0.003921324 0.0039671 0.0039181258 0.003864554 0.003858957 0.0038971368 0.0039017345 0.0038749487 0.0038989359 0.0038919395 0.0039103297 0.0039401143 0.003845564 0.0039077313 0.0038697515 0.003885743 0.0039125285 0.0039093303 0.003919725 0.0038849432 0.0039033336 0.003923523 0.0038937386 0.003951908 0.003896937 0.0039127287 0.0038619554 0.0038825446 0.00389114 0.003916327 0.003830972 0.0038493623 0.003874149 0.0039193253 0.0038771473 0.003922923 0.0038733494 0.0039013347 0.003889341 0.003855159 0.0038973368 0.0038847434 0.003843765 0.0037995884 0.0039127287 0.0038849432 0.0038747487 0.003898536 0.0039231232 0.0038751485 0.0039029338 0.0038659533 0.0039093303 0.0039093303 0.003940514 0.0038885414 0.0038597567 0.0038841437 0.0038897407 0.0039183255 0.003916926 0.003902334 0.0038905405 0.0038859427 0.003965301 0.0038593567 0.003920125 0.0039413134 0.003868552 0.003881545 0.0038447645 0.0038915398 0.0038941384 0.003889541 0.003943512 0.003930719 0.0038715503 0.0039245225 0.003917326 0.0038879418 0.003932318 0.003916327 0.0038585572 0.0038405668 0.0038613558 0.0038713505 0.0038695515 0.003885743 0.0038519609 0.0038863425 0.0038459639 0.0038945382 0.0038429655 0.0038691517 0.0039609033 0.0038789464 0.0039061322 0.0038571581 0.0039181258 0.0038803457 0.003943712 0.0038537597 0.003885743 0.003876148 0.0039187255 0.0038205774 0.0039369157 0.0038965372 0.003864954 0.0038621554 0.003811982 0.0038737492 0.003864754 0.0039247223 0.0039127287 0.0038869423 0.0039123287 0.003940914 0.0039203246 0.003887342 0.003889541 0.0039049326 0.00390993 0.0038793462 0.0038757483 0.0038467636 0.0038939386 0.0038851432 0.0039355163 0.0038827446 0.00390993 0.0039161267 0.0039003352 0.0038727499 0.00390953 0.003917526 0.0039223237 0.0038899407 0.0038739492 0.003877747 0.003922923 0.003830972 0.0038901404 0.0038619554 0.003919725 0.0039125285 0.003868752 0.0038283733 0.0039151274 0.003906732 0.003883744 0.00387195 0.0039097304 0.0038737492 0.0038669528 0.0038583574 0.0039069317 0.0038821448 0.0039053324 0.003919725 0.0039109294 0.0039073313 0.0038805457 0.0038673526 0.0038757483 0.003875948 0.0039075315 0.003916926 0.003934917 0.0038899407 0.003892739 0.0039183255 0.0038825446 0.003915927 0.0038653538 0.0038933388 0.0039311186 0.0039161267 0.0038939386 0.0038491623 0.003881545 0.003864554 0.0038877418 0.003953507 0.0039245225 0.003823176 0.003917526 0.003889541 0.003940914 0.003832571 0.0038935388 0.004831642 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00026543543 7.698128e-06 6.898322e-06 3.499149e-06 4.3989303e-06 4.798833e-06 5.398687e-06 2.0794943e-05 3.429166e-05 4.198979e-06 6.298468e-06 3.2991977e-06 6.0985167e-06 3.799076e-06 1.019752e-05 2.2394554e-05 0.00019835176 3.8990515e-06 1.5096329e-05 1.9595234e-05 8.697884e-06 5.09876e-06 5.8285827e-05 3.1392367e-05 4.9987843e-06 5.8985656e-06 4.8988086e-06 5.8985656e-06 1.5796159e-05 1.6995866e-06 2.599368e-06 2.7293363e-05 7.288228e-05 2.9992705e-07 4.5988813e-06 4.998784e-07 9.9975686e-08 0.0 2.3994164e-06 3.2092194e-05 3.2892e-05 1.4996352e-06 5.298711e-06 1.0997326e-06 9.997568e-07 0.0 1.0097544e-05 3.9990275e-05 0.00040770083 1.0997325e-05 1.6595965e-05 1.6396012e-05 1.9795185e-05 1.5796159e-05 2.6493557e-05 5.1687428e-05 5.378692e-05 5.4286797e-05 5.8385802e-05 6.848334e-05 8.437948e-05 5.3886895e-05 8.3779625e-05 0.0004108001 0.0004997784 3.129239e-05 4.418925e-05 4.6488694e-05 4.418925e-05 3.6091224e-05 0.000103274884 9.5576754e-05 5.718609e-05 6.0585266e-05 6.828339e-05 9.237754e-05 0.000109273424 0.00011007323 0.00013406739 0.0005147748 0.00020415035 1.4396499e-05 1.7195818e-05 1.45964505e-05 1.6096086e-05 1.7395769e-05 1.7895647e-05 2.0095113e-05 1.7795672e-05 2.3594263e-05 2.5393825e-05 3.2392123e-05 2.8093167e-05 3.1692292e-05 4.1789837e-05 9.1677706e-05 0.0002763328 4.049015e-05 4.288957e-05 4.638872e-05 3.8990518e-05 4.5388962e-05 4.39893e-05 4.5388962e-05 3.749088e-05 4.5988814e-05 4.1789837e-05 4.76884e-05 4.568889e-05 7.158259e-05 7.0982736e-05 8.267989e-05 0.06269685 0.062321443 0.06225646 0.062119093 0.062225368 0.062220868 0.061856255 0.062070504 0.062197775 0.061874952 0.061900947 0.062087 0.062031016 0.061964132 0.061987724 0.06204711 23399.0 5.6496005 132195.0 0.010393737 0.010280267 0.010121412 0.010537463 0.010378608 0.010613109 0.010824918 0.010272703 0.010756836 0.010083589 0.010643368 0.010219751 0.010688756 0.01023488 0.010870305 0.010227316 0.01049964 0.010605545 0.010386172 0.01051477 0.011263664 0.01033322 0.0105072055 0.010227316 0.010476947 0.010219751 0.01077953 0.010174364 0.010560158 0.010469383 0.0108097885 0.010219751 0.010401301 0.010272703 0.010643368 0.010257574 0.009864216 0.009652408 0.010227316 0.01005333 0.010174364 0.010355914 0.01041643 0.010295397 0.009531374 0.0105072055 0.010628238 0.01025001 0.010605545 0.010197057 0.009954991 0.010749272 0.010446688 0.010091153 0.010628238 0.009849086 0.010393737 0.01025001 0.010658497 0.0105072055 0.010386172 0.010590415 0.010219751 0.009622149 0.010439124 0.010794659 0.010189493 0.010900564 0.010666061 0.01152086 0.010484512 0.010371042 0.010212187 0.010423995 0.009902039 0.009894474 0.010870305 0.01041643 0.010597981 0.011112371 0.010529899 0.010007943 0.0108097885 0.010582851 0.011051855 0.010582851 0.0102878325 0.010166799 0.010302962 0.010658497 0.010280267 0.01087787 0.010492076 0.010295397 0.0101138465 0.0102878325 6.5842447 1.0 0.0 0.0 77.0 5002647.0 167936.0 0.0 0.0 6.0 0.0 1.0 0.0 0.0 0.0 1155680900.0 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 40960.0 4096.0 4096.0 3.0 1.0 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 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8806963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.890573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 368.0 167004.0 27740.0 139264.0 0.0 0.0 7096.0 16332184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.1417558 0.008589086 0.004165868 0.0034074248 0.0062110648 0.0039295503 0.0020192147 0.0019511651 0.00784549 0.0015032757 0.0016938143 0.0014983265 0.004551894 0.0013659394 0.0012248913 0.0038713987 0.0061343545 0.0014983265 0.001181587 0.00089206727 0.0024596807 0.001973436 0.0007646291 0.0008227805 0.002297599 0.0007522565 0.0008277296 0.0007089522 0.0016109176 0.00060254754 0.0005926494 0.00056419236 0.0038738733 0.0005852258 0.0006508008 0.0005419216 0.0041473084 0.0013152115 0.00046397396 0.0005604806 0.001181587 0.0006520381 0.0005827513 0.00094155787 0.0011036394 0.0023384287 0.0006755461 0.0005171763 0.005669143 0.002687337 0.0031847174 0.010087413 0.003390103 0.00191281 0.0027306415 0.0016245275 0.0038874832 0.001963538 0.0007139013 0.0014810049 0.0016653573 0.00097496394 0.00046521123 0.0005283117 0.011765143 0.0039258385 0.004898328 0.008821691 0.0038664497 0.032540042 0.0032663767 0.0027071335 0.0033814423 0.0035459984 0.0021874825 0.002353276 0.0027083708 0.004384863 0.0011593163 0.0015304955 0.009054298 0.002142941 0.0020550953 0.009750877 0.0032032763 0.013830136 0.003220598 0.002094688 0.0019251826 0.0065104826 0.0027405396 0.0032577158 0.0015651388 0.0046347906 0.0023767839 0.0036029124 0.005761938 0.0044281674 0.0017556775 0.003254004 0.010223512 0.0061331172 0.0039443974 0.0015626643 0.008819217 0.0042314427 0.0037167408 0.0013906846 0.004471472 0.0017655756 0.00445415 0.004027294 0.0041683423 0.001692577 0.0049069887 0.0038800596 0.011105681 0.0055726366 0.0017779482 0.0010986903 0.003773655 0.0012632464 0.00053078623 0.00059017487 0.0016529846 0.002517832 0.0010628097 0.0008747456 0.0052435244 0.001158079 0.0010887922 0.009062958 0.0031216168 0.0032267843 0.0010343526 0.00061863195 0.0026625919 0.015188652 0.0022332615 0.05172753 0.0011964343 0.011000513 0.0008574239 0.00068049517 0.0026564056 0.00044417774 0.0007275112 0.0006458518 0.0011234357 0.00093660876 0.0015119365 0.00056790415 0.0011741634 0.0005889376 0.0004998546 0.00071266404 0.000956405 0.0004763466 0.00046521123 0.00041943247 0.0008970163 0.0033294773 0.0004664485 0.0025512383 0.0014240908 0.00081783143 0.00056419236 0.0004528386 0.0010467253 0.00045778765 0.0005097527 0.00048748197 0.0008475258 0.00045036405 0.00074235833 0.0006582244 0.0013251096 0.0006854442 0.0017309323 0.00053697254 0.0008784574 0.000670597 0.00071266404 0.0015799861 0.0031513113 0.0025351536 0.0046521123 0.00082401774 0.0010009465 0.0004800584 0.0008537121 0.00071513857 0.012000223 0.0011494182 0.002287701 0.010352187 0.0043588807 0.0010590979 0.003558371 0.0033690697 0.001870743 0.0017655756 0.0009836248 0.0013028389 0.0016826789 0.00089330453 0.0009922857 0.00094279513 0.0028754014 0.0011506554 0.0029756196 0.0013535668 0.001813829 0.0007683409 0.0016047313 0.00087598286 0.0033690697 0.0006545126 0.0010863177 0.0017878463 0.0014970893 0.00071885035 0.0005629551 0.00084257673 0.0024398845 0.0006582244 0.0008784574 0.0009910484 0.0024336982 0.002432461 0.0005505824 0.00069410505 0.027618205 0.00602795 0.0010937413 0.005901749 0.006535228 0.0010430135 0.00068049517 0.000754731 0.0072454177 0.0009774385 0.0018175407 0.0009192871 0.009140906 0.0021713981 0.004097818 0.0025945425 0.010071328 0.0030548046 0.0030746008 0.003614048 0.014894183 0.0039975997 0.004303204 0.0689589 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018273368 0.0 0.0 0.001133333 0.0008464368 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010554435 0.0 0.0 0.006260286 0.0047588833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001245489 0.0 0.0 0.0013923452 0.0011692725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055086554 3.7178775e-06 1.7969742e-05 6.69218e-05 0.0001487151 7.559684e-05 6.1964624e-06 7.435755e-06 1.5491156e-05 0.0 0.0 1.8589387e-06 8.055401e-06 3.0982312e-06 4.95717e-06 0.00035815555 0.0060917423 0.00020572255 0.00021315832 0.00055024587 0.0019091301 0.0004876616 0.002445124 0.0010639327 0.00019456893 0.00010038269 9.232729e-05 7.497719e-05 0.0006710769 0.00037984314 0.0004002915 0.0028863123 0.01331186 0.00064071425 0.0009449605 0.002079533 0.004125605 0.0036057215 0.0069604865 0.0032066694 0.00045358107 0.00023546557 0.0003104428 0.00033027146 0.002080772 0.00110359 0.0011209401 0.008981773 0.020753812 0.0013018767 0.0012324764 0.0020764347 0.0073105865 0.002559139 0.006685983 0.0032537624 0.0023899756 0.0009740839 0.0009759429 0.0013347181 0.004054965 0.0026477484 0.0026719146 0.009573535 0.020209143 0.001560889 0.0012504462 0.0022660464 0.009421102 0.0040413328 0.005881682 0.0034055759 0.0058079446 0.0014127934 0.0017777651 0.0023038448 0.003860396 0.0017715687 0.0040425723 0.009667101 0.07400373 0.009815817 0.007279604 0.010079785 0.04205663 0.03059937 0.021301579 0.013950716 0.051467817 0.00529054 0.0060545634 0.009141642 0.016785597 0.0070726424 0.027437937 0.06106304 0.060251303 0.010128737 0.009117475 0.011670417 0.028117068 0.030603088 0.017669212 0.01460878 0.049815223 0.0058847805 0.0064821197 0.009149697 0.021097096 0.010936757 0.025080802 0.0485245 0.00023360664 4.771276e-05 8.613083e-05 5.2050287e-05 9.0468355e-05 9.91434e-05 4.337524e-05 6.56825e-05 0.00013446323 2.9123374e-05 3.34609e-05 2.9123374e-05 8.427189e-05 6.0105685e-05 7.311826e-05 0.0001071988 5347.0 16.488312 88163.0 0.005308349 0.00012476889 0.00054444605 9.0741014e-05 0.0032666766 0.0005557887 0.00012476889 0.0001701394 0.0003856493 0.00039699193 0.0007145855 0.0005671313 0.00048773296 0.013894718 0.0011002348 0.00045370506 0.024250535 0.016219957 0.024556788 0.011637535 0.02102923 0.013554439 0.02124474 0.010786838 0.024159795 0.013520411 0.0008053265 0.00049907557 0.0009300954 0.00052176084 0.000113426264 0.00013611151 0.0013270873 0.008314146 0.0072139106 0.014144256 0.0069530304 0.015720882 0.0046051065 0.0029944535 0.0047979313 0.017150052 0.0023932941 0.003890521 0.0066467794 0.006499325 0.0043215407 0.008983361 0.012578973 0.002552091 0.00583011 0.01995168 0.01273777 0.0061023333 0.0057507115 0.003402788 0.0027108877 0.005217608 0.0014858841 0.002915055 0.0011342627 0.0027222305 0.0028356567 0.02163039 0.00024953778 0.029899163 0.012510917 0.02590656 0.033959825 0.051234644 0.0109569775 0.009856743 0.026870683 0.033506118 0.0072479383 0.006533353 0.031963523 0.011592165 0.03678414 0.032882273 0.027188277 0.0024386647 0.037419327 0.027778093 0.048262876 0.010730125 0.010072253 0.0054217754 0.021868585 0.006510668 0.0010208364 0.00028356566 0.0005331035 0.00024953778 0.0002949083 0.00030625093 5.74443 0.0 2.0 14.0 4.0 808235.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5822973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.36525002 0.011972576 0.004902958 0.0054827686 0.007954592 0.004089189 0.0029702568 0.0021361436 0.011494487 0.002461651 0.003987468 0.0017699475 0.006438947 0.0020242503 0.0019632177 0.0039467793 0.007710461 0.0048622694 0.0028888797 0.0014647841 0.0040485007 0.0063982587 0.0014240957 0.0012104814 0.0028278471 0.0014037514 0.0011596208 0.0014037514 0.0017902917 0.0015563332 0.0011087602 0.0011901371 0.0061948164 0.0008341132 0.0009866948 0.00096635066 0.0048520975 0.0018309802 0.0013223746 0.00094600645 0.0013935794 0.00088497374 0.0008646295 0.0013834073 0.0013528909 0.0020242503 0.0021259715 0.0013935794 0.0032245596 0.0020649387 0.001363063 0.0042722872 0.0014851284 0.0017902917 0.0016885706 0.0014139236 0.0023192416 0.002278553 0.0012206534 0.0040281564 0.0014240957 0.002003906 0.0010375554 0.0011392765 0.0115046585 0.006723766 0.0012511698 0.0019021849 0.0028990519 0.006723766 0.003265248 0.0015563332 0.0016885706 0.0016783985 0.0008239411 0.00078325265 0.0018309802 0.0030414616 0.0016783985 0.0013427188 0.008656467 0.001820808 0.0014444399 0.0044045243 0.0020344225 0.002909224 0.0053912196 0.0046588276 0.0016885706 0.0016987427 0.0007934247 0.0016885706 0.0013122024 0.0015054726 0.0030414616 0.0023395857 0.0010375554 0.0049131303 0.0012613419 0.0025125118 0.0034178298 0.008686984 0.0039366074 0.0017801196 0.005543801 0.0046791714 0.0045164176 0.0012003093 0.004170566 0.002278553 0.0040485007 0.0043028034 0.002990601 0.0007629084 0.0052488097 0.0043943524 0.012257395 0.011433454 0.0018309802 0.0014139236 0.0021564877 0.0015258169 0.00088497374 0.0008646295 0.0017496033 0.0018716686 0.0011494487 0.0010375554 0.0034686902 0.0023904464 0.0007527363 0.0060218903 0.001820808 0.006622045 0.00080359686 0.00072221993 0.0016071937 0.005808276 0.0011291044 0.015502299 0.0011494487 0.008605607 0.0008239411 0.0008646295 0.0016173659 0.00043740083 0.00040688447 0.0005696383 0.00090531795 0.00094600645 0.0007934247 0.0013935794 0.0010273834 0.0026244048 0.0005187777 0.0006611873 0.0007629084 0.00096635066 0.0005391219 0.0006815315 0.00088497374 0.0010782438 0.00062049885 0.00088497374 0.0008951459 0.0011596208 0.0006001546 0.0005594662 0.0008341132 0.0008442853 0.0011392765 0.00071204785 0.00088497374 0.0007323921 0.0007323921 0.0007323921 0.0012511698 0.0005594662 0.00064084306 0.00054929405 0.0008341132 0.0014037514 0.00072221993 0.00080359686 0.001088416 0.0011189324 0.0006611873 0.0009256622 0.0009154901 0.0008341132 0.0009154901 0.0008239411 0.006266021 0.0016478822 0.0027973307 0.0021666598 0.0021259715 0.00062049885 0.0015970216 0.001993734 0.0014647841 0.0020751108 0.0005798104 0.0005798104 0.0034890345 0.0005696383 0.00097652274 0.00088497374 0.0014647841 0.0016885706 0.0010172112 0.0009358343 0.0012308256 0.0005187777 0.0008646295 0.0010172112 0.0015563332 0.0010070391 0.0006815315 0.0011392765 0.0012104814 0.0006001546 0.0008951459 0.00072221993 0.0017597754 0.0009256622 0.0009358343 0.0006001546 0.0013122024 0.0008341132 0.0008341132 0.0010985881 0.00833096 0.0018513245 0.0011189324 0.0033059365 0.0038959188 0.0011494487 0.0010985881 0.0010578997 0.0029193962 0.0017394312 0.00072221993 0.0012206534 0.001820808 0.00054929405 0.0015054726 0.0017089149 0.0034992066 0.0014953004 0.0007323921 0.0015563332 0.0034076576 0.0027057817 0.007679945 0.042610977 0.094736844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019284539 8.2236846e-05 0.00015419407 0.00023643092 0.0006476151 5.1398027e-05 4.1118423e-05 0.00011307566 6.167763e-05 3.0838815e-05 2.0559211e-05 3.0838815e-05 3.0838815e-05 4.1118423e-05 3.0838815e-05 0.0001953125 0.027410567 0.0013106497 0.0005962171 0.0002055921 0.00033922697 0.0001850329 0.0005550987 0.00026212994 0.00025185032 6.167763e-05 5.1398027e-05 5.653783e-05 2.5699013e-05 2.5699013e-05 0.00015419407 8.737665e-05 0.008490954 0.00089946546 9.251645e-05 9.251645e-05 7.1957234e-05 0.0 5.139803e-06 2.0559211e-05 3.5978617e-05 0.0 5.139803e-06 5.139803e-06 2.0559211e-05 5.139803e-06 2.5699013e-05 0.000755551 0.015861431 0.00011307566 0.00010279605 0.00011307566 0.0005910773 0.00048828125 0.0014442846 0.0007915296 5.1398027e-05 7.709704e-05 7.709704e-05 7.709704e-05 7.709704e-05 6.681743e-05 0.00087376643 0.00024671052 0.0074321544 5.1398027e-05 0.00043174342 0.0001953125 0.00036492597 0.00012849507 0.00058079767 0.00044716283 4.1118423e-05 5.139803e-06 1.0279606e-05 5.139803e-06 2.5699013e-05 1.5419408e-05 3.0838815e-05 0.0007606908 0.020949835 0.0012386924 0.001223273 0.00067845394 0.0006938733 0.00048314146 0.0018965872 0.0010022615 0.0003752056 0.0006990132 0.00026726973 0.00015933388 0.00013877467 8.2236846e-05 5.653783e-05 0.0016344573 0.025858346 0.002816612 0.0012284128 0.0009251645 0.0012438323 0.0006013569 0.0039473684 0.0024362665 0.0009971217 0.00012849507 7.1957234e-05 0.00015933388 0.00035978618 0.00028782894 0.00031866776 0.00072471215 0.020944696 0.00047286184 0.002682977 0.0013055098 0.0038702714 0.0024054276 0.01197574 0.006465872 0.00016447369 0.0002055921 0.00016447369 0.0002004523 0.00022615131 0.00023643092 0.0009971217 0.00031352797 0.02528783 0.003155839 0.0024619654 0.0033819901 0.003022204 0.002030222 0.009004934 0.004451069 0.0007966694 0.0013209293 0.0003957648 0.00052939967 0.00089432567 0.00046258225 0.0005910773 0.0053710938 0.027240954 0.0026418585 0.003099301 0.0035567435 0.0022717929 0.0019377056 0.005566406 0.0032689145 0.0012335526 0.0014699836 0.00084806746 0.0007709704 0.0015727796 0.00090974505 0.0013723273 0.0053967927 0.0390882 0.0024825246 0.003227796 0.0032175165 0.0045692846 0.0037366366 0.0047491775 0.0043688323 0.006728002 0.0026881169 0.0017475329 0.002133018 0.0037623355 0.0018606086 0.0030067845 0.007370477 0.06435033 0.0154965045 0.005669202 0.009313323 0.017572986 0.019413035 0.009652549 0.016534746 0.029877672 0.0022358142 0.0030787417 0.0036646794 0.012027138 0.0048519736 0.013039679 0.036379524 0.028515626 0.007987253 0.00416324 0.0053248354 0.009719367 0.009873561 0.0046206824 0.0075400905 0.013666735 0.001639597 0.0023540296 0.0021689967 0.006846217 0.0034539474 0.0053505343 0.013091077 0.008609169 0.004039885 0.0044305096 0.004512747 0.004029605 0.004481908 0.0047029196 0.0043379935 0.0043328535 0.00442023 0.0043122945 0.0042043584 0.0041272617 0.0044099507 0.004451069 0.0042814557 480.0 13.420834 6442.0 0.056814656 0.0038807823 0.0043464764 0.0034150884 0.0040360135 0.008848184 0.005277864 0.002638932 0.0034150884 0.0034150884 0.0038807823 0.0034150884 0.003725551 0.014902204 0.010245265 0.004191245 0.01086619 0.018317293 0.008072027 0.0076063336 0.003104626 0.0034150884 0.005898789 0.003725551 0.011176653 0.003104626 0.005743558 0.016609749 0.006674946 0.0034150884 0.002638932 0.002638932 0.0035703199 0.016454518 0.0043464764 0.0141260475 0.0069854083 0.008227259 0.013039429 0.009003415 0.004191245 0.00838249 0.001552313 0.0020180068 0.0065197144 0.012108041 0.0040360135 0.0038807823 0.0141260475 0.0040360135 0.0071406397 0.018627755 0.009313878 0.005433095 0.010245265 0.019714374 0.0013970817 0.003104626 0.0017075442 0.0029493945 0.0021732382 0.0024837006 0.0018627755 0.0032598572 0.0012418503 0.035082273 0.004656939 0.016299287 0.026544552 0.07947842 0.007451102 0.008692953 0.014591741 0.038497362 0.0027941633 0.006209252 0.03446135 0.011487116 0.029028252 0.030425334 0.009158647 0.0012418503 0.038807824 0.029804409 0.05122633 0.016144054 0.005433095 0.005898789 0.006364483 0.0065197144 0.0021732382 0.0013970817 0.0010866191 0.00062092516 0.00062092516 0.0010866191 5.8327427 0.0 0.0 0.0 3.0 98308.0 102400.0 1.0 0.0 193.0 0.0 1.0 0.0 0.0 0.0 995571000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 6.0 20.0 5.0 0.0 4.0 0.0 81920.0 4096.0 4096.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.03777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.46609414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.158958 0.0 4.621533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57990.0 0.0 7320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 57484.0 7320.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 812.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.49114442 0.008773016 0.0040871934 0.004892247 0.0080092475 0.002373875 0.0032821402 0.0020642392 0.0067707044 0.0017958881 0.010362481 0.0012385434 0.0034885642 0.0029725044 0.0010114772 0.0029931467 0.0044174716 0.00076376845 0.000474775 0.0010527619 0.0016513913 0.0020023119 0.0006811989 0.0007431261 0.0015275369 0.00066055654 0.00045413262 0.00045413262 0.0011146892 0.00082569564 0.00045413262 0.00041284782 0.007286764 0.00066055654 0.0013004707 0.0008876228 0.0032408554 0.0007018413 0.0005160598 0.0005573446 0.0011559739 0.00057798694 0.0004334902 0.0011146892 0.0004954174 0.0008669804 0.0015894641 0.0011972587 0.004169763 0.0014862522 0.00097019237 0.004272975 0.00084633805 0.0014036826 0.00078441086 0.00059862935 0.0015275369 0.0011559739 0.0007018413 0.0027247956 0.0011146892 0.0013004707 0.00090826524 0.00059862935 0.011601024 0.011993229 0.0007018413 0.0027454381 0.02365618 0.0031582857 0.002373875 0.0116835935 0.001424325 0.011497812 0.0006192717 0.0005160598 0.0013417554 0.0022500206 0.010816613 0.0004334902 0.014160681 0.0011353315 0.00094955 0.0027247956 0.00097019237 0.0028280076 0.0029105772 0.0020848815 0.010919825 0.0018784576 0.000474775 0.00097019237 0.00066055654 0.0012385434 0.0017546032 0.0018784576 0.0013623978 0.0028280076 0.0009908348 0.0024358022 0.0023945174 0.0065229954 0.0031582857 0.0016101066 0.0025183717 0.0041078357 0.0022913055 0.00030963586 0.0023532326 0.0016101066 0.0034679216 0.0033853522 0.002167451 0.0006192717 0.004912889 0.0034472793 0.00957807 0.007328049 0.0011972587 0.0010527619 0.0010321196 0.0012385434 0.00045413262 0.00026835108 0.0010321196 0.0010321196 0.0007224837 0.00035092066 0.0029105772 0.0014449673 0.0015481793 0.00664685 0.0024770868 0.0033027825 0.0029725044 0.00041284782 0.0033027825 0.0053463792 0.0025802988 0.010775329 0.0004954174 0.0046651806 0.0008050533 0.00097019237 0.0012385434 0.00033027827 0.00035092066 0.00022706631 0.00039220543 0.0006192717 0.0002477087 0.00012385435 0.0002477087 0.0025802988 0.000103211954 0.00012385435 0.00037156304 0.0002477087 0.00022706631 0.00026835108 0.0011146892 0.0014656098 0.0002477087 0.0008669804 0.00045413262 0.00059862935 0.00026835108 0.00020642391 0.00053670217 0.00035092066 0.00030963586 0.00041284782 0.00033027827 0.00018578152 0.00022706631 0.0002477087 0.00028899347 0.00020642391 0.00084633805 0.00041284782 0.00018578152 0.0002477087 0.00084633805 0.00012385435 0.0006811989 0.00037156304 0.00039220543 0.0004334902 0.0008050533 0.00020642391 0.00035092066 0.00033027827 0.004272975 0.0024358022 0.00076376845 0.003220213 0.0013004707 0.00035092066 0.0010321196 0.0017133185 0.0010114772 0.0011353315 0.00037156304 0.00039220543 0.0041284785 0.00018578152 0.0005160598 0.00041284782 0.0007018413 0.0008050533 0.0007018413 0.00078441086 0.00035092066 0.00028899347 0.00039220543 0.00030963586 0.0007018413 0.00033027827 0.00041284782 0.0009908348 0.00053670217 0.00016513914 0.00020642391 0.0006192717 0.0010321196 0.000474775 0.00057798694 0.00028899347 0.00066055654 0.00016513914 0.00026835108 0.00022706631 0.0033440674 0.0011353315 0.0010321196 0.0038394849 0.0036537033 0.0004334902 0.0005160598 0.0011766163 0.0015688217 0.0005573446 0.00057798694 0.0009908348 0.0006399141 0.00018578152 0.0011146892 0.002373875 0.0027247956 0.00076376845 0.0007431261 0.000474775 0.0027660804 0.00066055654 0.0017958881 0.016555198 0.26085895 0.0 1.061481e-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 0.041387144 0.00067934784 0.00071119226 0.0 8.491848e-05 0.0 2.122962e-05 2.122962e-05 0.00050951086 0.0 4.245924e-05 0.0 0.0 0.0 2.122962e-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 0.058752973 0.0005413553 0.00035028873 0.00011676291 0.03360649 0.011485225 0.0005307405 0.00036090353 0.00038213315 0.00022291101 0.00035028873 0.00012737772 0.000615659 0.00027598505 0.00035028873 0.0006262738 0.01816194 0.000106148094 0.00018045177 1.061481e-05 0.0009871774 0.00015922215 0.0 9.553329e-05 0.00092348846 7.4303665e-05 6.368886e-05 3.184443e-05 0.00037151834 8.491848e-05 0.00013799252 0.00035028873 0.017387059 0.00013799252 0.00025475543 0.0011994735 0.014574134 0.004904042 0.0017408289 0.0007430367 0.00020168138 0.0009553329 5.3074047e-05 0.0 0.00071119226 6.368886e-05 9.553329e-05 0.00045643683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027672809 7.4303665e-05 0.0010933254 0.0007324219 0.0016877548 0.0018257473 0.0063370415 0.0032587466 5.3074047e-05 8.491848e-05 6.368886e-05 5.3074047e-05 6.368886e-05 7.4303665e-05 8.491848e-05 0.0003184443 0.014138927 0.0005307405 0.00024414062 0.00049889606 0.00084918475 0.0007324219 0.0005944293 0.0005519701 0.0012631624 0.00011676291 0.00012737772 0.00021229619 0.000615659 0.00023352582 0.0005519701 0.00047766644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.038499914 0.00027598505 0.005572775 0.004628057 0.009893003 0.0048191235 0.017312754 0.008247707 0.00048828125 0.0020805027 0.00045643683 0.0014542289 0.0026643171 0.0010720958 0.0046174424 0.0066130264 0.012408713 0.0010508662 0.0013374661 0.0014966882 0.011251698 0.0040548574 0.001507303 0.0014648438 0.0032587466 0.00041397757 0.00070057745 0.0003078295 0.0014117697 0.00042459238 0.00081734033 0.0015709918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.052033797 0.0086723 0.0073029893 0.008980129 0.018703295 0.014478601 0.0052861753 0.013990319 0.0356233 0.001730214 0.003396739 0.0027598506 0.012674083 0.0038213315 0.009001358 0.01893682 0.01785411 0.0048721978 0.0046492866 0.0060504414 0.0063264268 0.0054984717 0.0067828633 0.0070588486 0.008449389 0.0015391475 0.0020380435 0.0014011549 0.0038956353 0.0020486582 0.0029509172 0.0055409307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 38.429348 7071.0 0.032668646 0.00028284543 0.0056569087 0.00042426813 0.000989959 0.00042426813 0.0 0.0 0.0007071136 0.00014142272 0.00014142272 0.00028284543 0.00056569086 0.003394145 0.007919672 0.006364022 0.012020931 0.0053740633 0.003959836 0.0016970725 0.0011313817 0.000989959 0.0026870316 0.00084853626 0.0014142272 0.00056569086 0.002545609 0.00042426813 0.0026870316 0.0029698769 0.0028284544 0.00056569086 0.0011313817 0.075519726 0.000989959 0.0074954038 0.1407156 0.0029698769 0.0021213407 0.07141847 0.002545609 0.07170132 0.0 0.00056569086 0.0028284544 0.001979918 0.06929713 0.0011313817 0.071135625 0.00028284543 0.003394145 0.0065054446 0.0018384953 0.0014142272 0.0022627634 0.0028284544 0.068731435 0.000989959 0.0007071136 0.00028284543 0.00028284543 0.00028284543 0.00014142272 0.0015556498 0.00028284543 0.013859426 0.002545609 0.0149908075 0.011172394 0.035072833 0.0031112996 0.008768208 0.0059397537 0.024041861 0.00056569086 0.0007071136 0.010889549 0.009192476 0.020223448 0.020506293 0.008768208 0.00056569086 0.024466129 0.016405035 0.027860275 0.008909631 0.0031112996 0.0038184132 0.0021213407 0.0035355678 0.00056569086 0.00014142272 0.00014142272 0.0 0.0 0.0 4.830454 0.0 11.0 0.0 2.0 48444.0 45056.0 0.0 0.0 38.0 0.0 1.0 1.0 0.0 0.0 1369890400.0 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 16384.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 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 5.3260202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.40626252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6376257 0.0 5.0208855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13742.0 0.0 4332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 21556.0 4332.0 36864.0 0.0 0.0 3384.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 156.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.5560004 0.010113353 0.005544145 0.0033375365 0.0035715215 0.0031035515 0.0021221142 0.0020083715 0.0051736687 0.0020376197 0.0020571183 0.0017158901 0.003217294 0.0017873856 0.0010561824 0.0033082883 0.0030710534 0.0010074355 0.0009814372 0.0009911866 0.0016378951 0.0059926165 0.00095218903 0.00086769444 0.0013454139 0.0010041858 0.0008026986 0.0009131915 0.0011179284 0.00082869694 0.00075070193 0.0010496828 0.007149542 0.00078969944 0.0016281458 0.0008839434 0.0023073524 0.0009781874 0.00069870526 0.0006857061 0.0013844114 0.0008546953 0.0012349209 0.001468906 0.0010171849 0.0013356645 0.001485155 0.0007279534 0.0035487728 0.0010041858 0.0010334338 0.002453593 0.0012479201 0.0012089226 0.0010659317 0.0007994488 0.0011569259 0.0013779118 0.00125117 0.001702891 0.0013356645 0.0015404014 0.0009716878 0.0010009359 0.0018328826 0.0015371516 0.0011699251 0.0011146787 0.0019238768 0.002921563 0.0014299084 0.0009814372 0.00156315 0.0013389143 0.00090344215 0.0007214538 0.0013909109 0.0022131084 0.0011601758 0.0012934172 0.0029898086 0.0011536762 0.0012901674 0.0018523814 0.0015371516 0.0016996412 0.0018816296 0.0021903599 0.00094568945 0.0019758735 0.000796199 0.00090344215 0.0008774438 0.0015599001 0.0012251716 0.0010366837 0.0011569259 0.0019206271 0.00086444465 0.001218672 0.001797135 0.003220544 0.001608647 0.005277662 0.0020181208 0.0058203773 0.0020798668 0.00074420235 0.0015111533 0.0009294405 0.0016931416 0.0019791233 0.001329165 0.00062396005 0.002092866 0.0017093905 0.0044782134 0.0040524905 0.001046433 0.0008091982 0.0011081791 0.00082869694 0.0007572015 0.00053946546 0.00089694257 0.0012121724 0.0008091982 0.0008481957 0.0020181208 0.0013909109 0.0014624064 0.004205231 0.0014949043 0.0036300176 0.000734453 0.00063045963 0.0017093905 0.0034642783 0.0011016795 0.012550697 0.00085794507 0.0036690151 0.0006889559 0.0007702007 0.0019011283 0.0007929492 0.0008936928 0.0008156978 0.0007702007 0.0006889559 0.0005199667 0.0004029742 0.0008514455 0.00062720984 0.00058171275 0.00057521317 0.0007279534 0.0006142107 0.0005524646 0.00053946546 0.0008936928 0.0010074355 0.0008481957 0.0009781874 0.0007539517 0.00077995006 0.00058496254 0.0007637011 0.005267913 0.0007929492 0.0006109609 0.0011016795 0.00065645797 0.0005264663 0.0005167169 0.0021221142 0.00090669194 0.0006012115 0.0006109609 0.0005687136 0.0006467086 0.0006857061 0.0008839434 0.0010561824 0.0012316712 0.00070195505 0.00058171275 0.0005654638 0.0007149542 0.0007247036 0.000734453 0.00053621567 0.0036820143 0.0016541441 0.0014039101 0.0020733674 0.0012999168 0.00082869694 0.0012576695 0.0016151466 0.0015956479 0.0011861741 0.0009359401 0.00075070193 0.005609141 0.0006369592 0.0008351965 0.00073770277 0.0016443947 0.0010431833 0.0011341774 0.00062720984 0.0007734505 0.0005232165 0.00086444465 0.0006857061 0.0011764247 0.0006792065 0.00069545547 0.00089694257 0.00090669194 0.000734453 0.00074420235 0.00065645797 0.0016606437 0.0006792065 0.00075070193 0.0006499584 0.0011829243 0.0009261907 0.00075070193 0.0006077111 0.009625884 0.0018166337 0.0008481957 0.0015728993 0.0018361325 0.00062396005 0.0006792065 0.00050371775 0.0021936097 0.0008449459 0.000718204 0.0010496828 0.0011114288 0.0007312032 0.0019401258 0.0015988976 0.0024438435 0.0015728993 0.0010106853 0.0023950967 0.0026323316 0.0013129159 0.004985181 0.04547434 0.18526436 3.2660953e-06 1.6330476e-06 6.5321906e-06 0.00015187344 1.6330476e-06 4.899143e-06 3.2660953e-06 4.899143e-06 0.0 0.00013227687 4.899143e-06 3.2660953e-06 3.2660953e-06 8.165238e-06 0.0016967366 0.18831488 0.00024005801 0.00019433266 0.00015350648 0.00043275763 0.00037886706 0.00011268029 0.00012574467 0.00013390991 0.000137176 0.0003462061 0.00012737772 0.00016493781 0.00021229619 0.00024169106 0.009352464 0.07145727 0.00023515886 0.00016003867 0.00013390991 7.8386285e-05 0.0005927963 0.00011921248 7.675324e-05 7.8386285e-05 6.205581e-05 0.00075120194 5.3890573e-05 9.798286e-05 8.328543e-05 0.00015677257 0.006130461 0.034863934 0.00022372753 5.5523622e-05 6.8588e-05 3.266095e-05 0.00029231553 2.122962e-05 5.8789716e-05 8.328543e-05 4.899143e-06 0.0011366012 2.7761811e-05 5.0624476e-05 0.0 5.5523622e-05 0.006502796 0.007990502 0.00013554296 0.000114313334 0.00033804087 7.022105e-05 6.6954955e-05 7.5120195e-05 6.53219e-05 4.082619e-05 3.1027907e-05 3.7560098e-05 2.9394858e-05 6.0422764e-05 3.266095e-05 3.4294e-05 0.0009112406 0.00918426 6.205581e-05 5.8789716e-05 0.00012247858 9.634981e-05 4.409229e-05 0.00029068248 0.00016330477 0.00010778115 1.3064381e-05 1.4697429e-05 9.798286e-06 0.00027271896 9.798286e-06 0.00023189277 0.0060406434 0.00260961 3.266095e-05 4.899143e-05 4.409229e-05 2.9394858e-05 2.9394858e-05 3.7560098e-05 5.7156667e-05 6.205581e-05 2.2862667e-05 2.4495715e-05 3.4294e-05 4.5725334e-05 0.00018943353 3.4294e-05 4.245924e-05 0.010747086 0.00025148934 0.0005242083 0.00021229619 0.0005585023 0.0003592705 0.001989052 0.0010418844 0.00016493781 0.00012084553 8.001934e-05 7.18541e-05 0.00013227687 0.00027925114 7.348714e-05 0.000115946386 0.0037494774 0.00014534124 0.00032987562 0.0001404421 0.0002024979 0.00012247858 0.0011953909 0.0006336225 1.6330476e-05 2.6128762e-05 8.165238e-06 8.165238e-06 3.592705e-05 4.899143e-05 9.798286e-06 1.6330476e-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 0.0064227763 0.0005029787 0.00049154734 0.0021213288 0.00025148934 0.00030374687 0.0005307405 0.00044092286 0.00040826193 0.00023352582 0.00024169106 0.00023679191 0.00039193145 0.00023515886 0.0002629207 0.00030211383 0.0025638847 0.0003674357 0.00032987562 0.001748994 0.0005944293 0.00040009667 0.0014256506 0.0007414036 0.00015840563 0.00016493781 0.0001404421 0.00011921248 0.00015677257 0.00018780048 0.00012737772 0.0008067255 0.0051898253 0.00042949154 0.0005780989 0.00047195077 0.00056013535 0.00058136496 0.0008736805 0.00087204744 0.0016706077 0.00030701296 0.0003494722 0.00035763744 0.0007707985 0.00036090353 0.00070384354 0.0026455373 0.026969783 0.0036237328 0.004905675 0.0044712843 0.0051489994 0.0060569737 0.0038866533 0.0050216215 0.01197024 0.0013129703 0.001335833 0.0021164299 0.005932862 0.0023760844 0.0055556283 0.01299416 0.013564094 0.0028937606 0.006279068 0.0027582175 0.0040238295 0.004450055 0.0049873274 0.0042998143 0.0059165317 0.0016624425 0.0016510112 0.0016461121 0.0038931856 0.002126228 0.0035535118 0.0065289247 0.03565106 0.014254873 0.010647471 0.010002417 0.011344782 0.01034209 0.01837832 0.009608853 0.019758243 0.0078125 0.01202413 0.006950251 0.014217313 0.0076802233 0.013782922 0.018280335 620.0 12.03871 7464.0 0.08802251 0.0021436226 0.0046891747 0.0037513399 0.0046891747 0.0018756699 0.0022775992 0.0038853162 0.006966774 0.0036173633 0.003215434 0.0021436226 0.0072347266 0.003483387 0.008172561 0.0030814577 0.009378349 0.0077706324 0.005760986 0.0077706324 0.00897642 0.008172561 0.005493033 0.005091104 0.004287245 0.006028939 0.007904609 0.0068327975 0.009378349 0.014335477 0.007368703 0.006966774 0.0052250805 0.011254019 0.0046891747 0.009780278 0.008306538 0.015139336 0.00710075 0.007368703 0.0072347266 0.014871383 0.003215434 0.0024115755 0.015005359 0.0072347266 0.00897642 0.007368703 0.016881028 0.003483387 0.01272776 0.013397642 0.01835477 0.0075026797 0.006028939 0.006028939 0.003215434 0.0038853162 0.0020096463 0.005359057 0.0033494106 0.006028939 0.0028135048 0.004421222 0.0038853162 0.03255627 0.007368703 0.015273312 0.026795285 0.06725616 0.005760986 0.013263665 0.0075026797 0.026795285 0.005091104 0.0040192925 0.017684888 0.015407288 0.024919614 0.030814577 0.010316185 0.0026795284 0.03148446 0.029072883 0.045016076 0.018488746 0.004421222 0.0058949627 0.0049571274 0.007368703 0.0026795284 0.0017416935 0.0017416935 0.0020096463 0.0030814577 0.003215434 5.938715 1.0 0.0 0.0 3.0 307712.0 397312.0 1.0 0.0 68.0 1.0 1.0 0.0 0.0 0.0 1320761100.0 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 112640.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18944.0 0.0 0.0 0.0 0.0 0.0 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 -112640.0 0.0 166400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.46916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.148309 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4254844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.125721 0.0 0.97969747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112250.0 0.0 166120.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 135668.0 166120.0 221184.0 0.0 0.0 0.0 0.0 2456.0 389120.0 28.0 119136.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 134776.0 0.0 0.0 280.0 118784.0 0.0 0.0 0.0 0.0