Input: 0.007133718 0.006470087 0.0038623526 0.0038354944 0.0038755701 0.003877632 0.003844271 0.0038281982 0.0038375563 0.0038424733 0.0038311589 0.0038403056 0.003848289 0.0038240214 0.0038469143 0.003829044 0.0038250259 0.003841786 0.0038394597 0.0038326394 0.0038569598 0.0038649433 0.0038178356 0.0038265064 0.003804512 0.0038510913 0.0038378206 0.003818523 0.0038330622 0.0037968988 0.0038275637 0.0038419974 0.0038497695 0.003822964 0.0038202675 0.003803349 0.0038293086 0.0038214836 0.0038200032 0.0038109096 0.0038389838 0.0038121785 0.0038372918 0.0038304715 0.003832375 0.003830313 0.0038226997 0.0038099578 0.0038513027 0.0038205849 0.003810645 0.0038020273 0.0038248145 0.0038276166 0.003796053 0.0038267707 0.0038326923 0.0038121257 0.0038336439 0.0038163553 0.0038084246 0.0038353887 0.0038032962 0.0038291498 0.0038766805 0.0038446938 0.0038497695 0.003818946 0.0038301016 0.0038452754 0.003809482 0.0038405699 0.0038272995 0.003841363 0.0038309474 0.0038239686 0.003823387 0.0038157208 0.0038616653 0.0059425444 0.0038306832 0.0038350185 0.0038152449 0.0038292557 0.0038428432 0.0038234398 0.0038289912 0.0038344897 0.0038294143 0.0038483418 0.003831952 0.0038349656 0.0038218538 0.0038683799 0.0038369747 0.0038509325 0.0038023973 0.0038501923 0.0038236512 0.003833168 0.0038369747 0.003884241 0.003842103 0.0038058867 0.0038292028 0.0038419974 0.0038141876 0.0038165667 0.0038159322 0.0038390367 0.0038426847 0.0038250787 0.0038310003 0.0038465972 0.0038570655 0.0038333796 0.0038810687 0.0038695429 0.0038067857 0.0038578585 0.0038163024 0.003791929 0.003820902 0.0038496635 0.0038402 0.0038467029 0.0038157736 0.0038377678 0.003825766 0.0038077373 0.0038313705 0.0038440593 0.0038159322 0.0038310532 0.003831899 0.003827828 0.003849029 0.0038427904 0.003797216 0.0038497166 0.003850298 0.0038500866 0.0038432663 0.003836446 0.0038065212 0.0038215893 0.003829837 0.0038287798 0.003842156 0.0037990136 0.0037962643 0.0038330622 0.0038050408 0.0038302601 0.0038126013 0.0038224354 0.0038263476 0.0038472845 0.003825872 0.0038092704 0.0038317933 0.0038135003 0.0038195802 0.0038116497 0.003815668 0.003833115 0.0037961586 0.0038019216 0.0038468086 0.0059352485 0.003850774 0.0038242328 0.0038077373 0.003794784 0.0038334324 0.003814875 0.003810751 0.0038240743 0.0038108039 0.0038022387 0.003827458 0.003803719 0.0038398826 0.0038300487 0.0038199504 0.0038226468 0.0038195802 0.003847073 0.003837715 0.0038350185 0.0038334324 0.003798379 0.0038243914 0.0038424204 0.003806257 0.0038152449 0.0038510382 0.0038288326 0.0038349656 0.0038209548 0.0038235455 0.0038255546 0.00380171 0.0038257132 0.0038122842 0.0038120197 0.0038136588 0.0038228582 0.0038194216 0.0038236512 0.0038256603 0.0038084774 0.0038030318 0.003810645 0.0038344897 0.0038160908 0.0038361817 0.003836076 0.003794414 0.0038203206 0.003835653 0.0038445352 0.0037982734 0.0038149278 0.0038011814 0.0038177827 0.0038161965 0.003823387 0.003812707 0.0038260834 0.0038194745 0.003798485 0.003851514 0.0038239686 0.0038354415 0.0038178884 0.003840517 0.0038068914 0.0038013929 0.0038434777 0.003832005 0.0038614538 0.0038270878 0.0038267178 0.0038321635 0.0038305244 0.0038286212 0.003829837 0.003809482 0.0038301544 0.0038404642 0.0038322692 0.0038369747 0.0038233341 0.0038531532 0.0136032235 0.00032486868 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013348486 0.0 5.2875766e-08 0.0 0.0 0.0 0.0 0.0 2.6437883e-08 0.0 0.0 0.0 0.0 0.0 0.0 2.8870167e-05 0.00021549518 5.2875766e-08 1.0575153e-07 0.0 5.023198e-07 2.6437883e-08 7.9313644e-08 0.0 5.2875766e-08 5.2875766e-08 5.023198e-07 2.6437883e-08 2.6437883e-08 0.0 0.0 0.00043281456 0.00011135636 1.8506518e-07 5.2875765e-07 1.0575153e-07 6.1864644e-06 3.4369248e-07 1.8506518e-07 1.0575153e-07 1.5862729e-07 1.0575153e-07 6.0013995e-06 3.4369248e-07 1.3218941e-07 1.3218941e-07 2.3794094e-07 0.00025290478 0.0005776413 1.1632668e-06 8.195744e-07 7.402607e-07 0.00012103262 6.8738495e-07 8.7245013e-07 8.4601226e-07 5.551955e-07 5.023198e-07 0.000120688936 1.0575153e-06 8.4601226e-07 1.2954563e-06 1.2161426e-06 0.0013899717 0.0015773898 4.230061e-06 3.595552e-06 3.6484278e-06 0.00050850626 2.2736579e-06 2.9874807e-06 3.1989837e-06 2.5644747e-06 2.432285e-06 0.00050874415 2.4851608e-06 3.3576111e-06 3.4633626e-06 4.573754e-06 0.0036473437 0.0016255596 6.318654e-06 5.816334e-06 4.9703217e-06 0.0008976454 5.86921e-06 7.5083585e-06 5.2875766e-06 5.0496355e-06 4.1507474e-06 0.0008959798 4.520878e-06 4.203623e-06 5.4990796e-06 5.816334e-06 0.0027965992 0.0009136932 5.9749614e-06 8.327933e-06 6.503719e-06 0.0006161084 7.746299e-06 1.7131748e-05 9.99352e-06 6.4244055e-06 6.5830327e-06 0.00061008055 5.155387e-06 4.4151266e-06 5.446204e-06 5.631269e-06 0.0011277607 7.57181e-05 1.348332e-06 6.292216e-06 5.1025113e-06 3.2756536e-05 7.8256135e-06 5.1712497e-05 2.5962001e-05 1.2425804e-06 6.8738495e-07 1.7819133e-05 7.138228e-07 8.195744e-07 8.98888e-07 1.1632668e-06 4.0661464e-05 6.1706014e-05 2.1150306e-06 1.4805214e-06 1.6655866e-06 1.3324693e-05 7.402607e-06 3.270366e-05 2.8129907e-05 4.1771855e-06 1.0310774e-06 1.1368289e-06 1.4012078e-06 1.6127108e-06 1.3218942e-06 1.0839532e-06 2.1414685e-06 2.7125267e-05 1.6920245e-06 1.6391488e-06 1.5333972e-06 3.6484278e-06 2.24722e-06 1.5862729e-06 3.0403564e-06 2.9874807e-06 2.6437883e-07 5.551955e-07 5.2875765e-07 1.8506518e-06 1.2954563e-06 1.3747699e-06 2.7759777e-06 2.884373e-05 1.6391488e-06 6.080713e-06 7.3761694e-06 5.9220856e-06 2.8024156e-06 1.7766257e-05 1.3959202e-05 6.107151e-06 1.4805214e-06 1.4276457e-06 2.1414685e-06 3.2782975e-06 2.24722e-06 2.432285e-06 4.785257e-06 0.0001275099 2.2736578e-05 8.962442e-06 2.0489359e-05 3.9789014e-05 3.3787615e-05 1.8268576e-05 3.3999117e-05 4.6266294e-05 4.917446e-06 6.9267253e-06 5.36689e-06 2.1494e-05 1.1315414e-05 2.971618e-05 5.5757493e-05 0.00024394234 6.4349806e-05 5.134237e-05 7.1461596e-05 8.832897e-05 7.4475516e-05 6.1600265e-05 8.2089624e-05 8.296208e-05 2.0647985e-05 1.972266e-05 2.2049195e-05 4.4283453e-05 2.3397526e-05 4.602835e-05 8.6213935e-05 0.061355952 0.06120534 0.061098 0.061006103 0.061149765 0.06121771 0.061090384 0.061195105 0.061177578 0.061096996 0.061045177 0.06112063 0.061078463 0.061068732 0.061040655 0.06123307 86070.0 5.6614733 487283.0 0.010644739 0.010341014 0.010476458 0.010012662 0.010505189 0.0103245955 0.010248665 0.010150159 0.010472354 0.010105011 0.0102507165 0.010302021 0.010390266 0.010334857 0.0104231015 0.010332804 0.010712461 0.010597538 0.01038411 0.010382057 0.010470302 0.010377953 0.010107063 0.010587277 0.0103861615 0.0104600405 0.0104477275 0.010084488 0.0102507165 0.010363587 0.01013169 0.010182994 0.0102630295 0.010583173 0.010302021 0.010351274 0.01063653 0.01044978 0.010211725 0.010443623 0.0103369085 0.010560598 0.01043131 0.010016766 0.01038411 0.0104538845 0.0104600405 0.01022609 0.010341014 0.010494928 0.010304074 0.010710409 0.010589329 0.010211725 0.010195307 0.010275343 0.010306126 0.010457989 0.010402579 0.010139898 0.0103738485 0.010326648 0.01022609 0.010517502 0.010201464 0.010774027 0.0103984745 0.010640634 0.010897159 0.011695462 0.010146054 0.010359483 0.0103923185 0.010856114 0.010082437 0.010246612 0.010601643 0.010579068 0.010927942 0.010973089 0.010488772 0.010059862 0.010798653 0.010876636 0.011297337 0.010441571 0.010203516 0.010517502 0.010299969 0.010304074 0.010156316 0.010480562 0.010248665 0.010258925 0.010322544 0.010248665 6.584522 2.0 25.0 0.0 276.0 18914120.0 614400.0 0.0 0.0 159.0 0.0 1.0 1.0 0.0 0.0 1481493000.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 374784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.310822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.114501 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.483409 0.0 2.2434032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4678.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23791.0 0.0 374720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 29736.0 374720.0 237568.0 0.0 0.0 10912.0 18903208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.027114512 0.0040752706 0.0037693195 0.0037287113 0.0041158786 0.0035384654 0.0035050889 0.0038065899 0.0044997083 0.003467262 0.0035957617 0.003554041 0.0035851924 0.0036925534 0.0036113374 0.00405747 0.0035846361 0.0034483487 0.00347505 0.0035223332 0.0039011566 0.0036525016 0.0036563957 0.0040201996 0.0038360725 0.0037376117 0.0040385565 0.004104197 0.004391235 0.0044535375 0.0042004324 0.004046344 0.0038338474 0.0035979867 0.0034978571 0.0036547268 0.004226021 0.0035985431 0.0037103542 0.0038861372 0.0039067194 0.0038661114 0.004067483 0.0041197725 0.0040296563 0.004121998 0.004334495 0.005022607 0.003902269 0.004243822 0.003849423 0.0040157493 0.0038160465 0.003885581 0.003847754 0.0039718035 0.0038255032 0.0039089443 0.0038038085 0.003873899 0.0038627735 0.0038917 0.0039345333 0.003989048 0.003790458 0.003954559 0.0038488668 0.0039578965 0.0038638862 0.0039512212 0.0038744553 0.0038917 0.0038544296 0.0040841713 0.0036981162 0.0042187897 0.0039334204 0.003871674 0.003986267 0.004139242 0.004144805 0.003750406 0.003814934 0.004001286 0.003883912 0.003859436 0.0036864344 0.003829397 0.0036413763 0.003546253 0.0037287113 0.0036697462 0.0037882328 0.0036858781 0.0038605486 0.0038727866 0.0035907552 0.0046248706 0.0037209236 0.0044674445 0.0039534466 0.004806216 0.003772101 0.003913951 0.003909501 0.0039278576 0.0037659819 0.0038705615 0.004355633 0.0038483106 0.0043567456 0.00428888 0.0036575082 0.0036335883 0.0041281166 0.0046799416 0.0046003945 0.0040986342 0.0038605486 0.003821053 0.0037287113 0.0037821138 0.0037181422 0.00378267 0.0037242612 0.003752075 0.003715917 0.0037214798 0.0034594743 0.003557935 0.0033777019 0.0036152313 0.0034533553 0.0036719714 0.0034316606 0.0034945195 0.0032881415 0.0042849863 0.0034311041 0.003729824 0.003442786 0.003677534 0.003619125 0.0035874175 0.0037615316 0.0033726953 0.0033621262 0.0035879738 0.0034210912 0.0034984136 0.0033971714 0.0036124499 0.003535684 0.0035562662 0.0035039762 0.0036152313 0.0036602896 0.0035590476 0.0036730838 0.0038661114 0.0034032904 0.003473381 0.0033515568 0.0035534848 0.0034633682 0.003517327 0.0034956322 0.0036358135 0.0034105221 0.0036063308 0.0034945195 0.0036680773 0.0035501472 0.0036897722 0.0036697462 0.0037131356 0.003566279 0.0035445844 0.0035189956 0.003732049 0.0036169002 0.003687547 0.0036219065 0.0035918676 0.003671415 0.0037303802 0.0035162142 0.0035935366 0.0036758652 0.003776551 0.0037576377 0.0039350893 0.0037698757 0.0034817252 0.0033743642 0.0035685042 0.003438892 0.0035729543 0.0037125794 0.0039133946 0.0033343125 0.0036525016 0.0036847657 0.0035373527 0.0036580644 0.0036241317 0.0036925534 0.003928414 0.0036096685 0.0035362402 0.0034288792 0.003521777 0.0034683747 0.0034806128 0.003511764 0.0036981162 0.0035412468 0.0035712856 0.00347505 0.003541803 0.0035178831 0.0036291382 0.0037014538 0.003801027 0.0035990993 0.003473381 0.0035668353 0.0035690605 0.003359901 0.003547922 0.00350342 0.0038349598 0.0039311955 0.0035818547 0.0034817252 0.0036046621 0.0036808718 0.003519552 0.0036291382 0.003847754 0.0037008976 0.0036436012 0.0036519454 0.003784339 0.003644714 0.0035796296 0.003705348 0.003865555 0.0037148045 0.0036563957 0.0037264863 0.003855542 0.0037398369 0.0038700053 0.0038060336 0.018861616 0.0005701254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015917857 2.7838155e-06 5.567631e-07 2.7838155e-06 0.0 0.0 2.7838155e-07 1.3919077e-06 1.6702893e-06 2.7838155e-07 0.0 0.0 1.6702893e-06 0.0 1.8929946e-05 8.8246954e-05 0.0015121686 3.8973417e-06 2.3940815e-05 2.505434e-06 5.567631e-07 0.0 8.3514465e-07 1.6702893e-06 2.505434e-06 2.143538e-05 0.0 0.0 1.3919077e-06 0.0 5.567631e-07 0.0001389124 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014244784 5.3170876e-05 3.2570642e-05 2.1156999e-05 1.4754222e-05 2.143538e-05 3.396255e-05 5.2892497e-06 1.3919077e-06 3.6189601e-06 1.16920255e-05 8.3514465e-07 1.3919077e-06 8.3514465e-07 2.3384051e-05 6.0408798e-05 0.0008618693 2.9786826e-05 2.310567e-05 3.1178733e-05 3.062197e-06 2.6446249e-05 1.03001175e-05 7.794683e-06 1.3919077e-06 5.2892497e-06 5.567631e-06 1.30839335e-05 2.4497576e-05 8.351447e-06 5.567631e-06 8.2957704e-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 0.00034825533 4.5932957e-05 5.400602e-05 6.681157e-06 2.0321853e-05 9.186591e-06 2.2270524e-06 8.351447e-06 3.3405786e-06 2.1713762e-05 5.567631e-07 0.0 1.1135262e-06 0.0 5.567631e-07 4.788163e-05 0.0012671929 0.00017120465 0.000113022914 3.980856e-05 8.741181e-05 7.516302e-05 0.00010272279 0.000106898515 3.6746365e-05 1.30839335e-05 2.3384051e-05 2.4497576e-05 2.5889485e-05 2.6446249e-05 1.5310985e-05 0.00015171795 0.0059150513 0.0005481333 0.0010397551 0.0002644625 0.00078726304 0.00046740263 0.0031582387 0.0015909506 0.00013863402 0.00012499331 0.00010634175 9.381458e-05 0.00010606337 0.000101609265 0.00011051748 0.0002700301 0.0033550544 0.0034711396 0.0022518283 0.0014957441 0.0018111505 0.0007290813 0.00096988137 0.00087161263 0.00010216603 9.715516e-05 5.2335734e-05 5.9573653e-05 9.4371346e-05 7.655493e-05 9.910383e-05 0.0038475115 0.002672463 0.0022328985 0.003384563 0.0026095486 0.0032013878 0.0017702283 0.0013938565 0.00040393163 0.00015505853 0.00041116955 0.00087161263 0.00039585857 5.706822e-05 3.730313e-05 4.1478852e-05 0.005447092 0.005666178 0.0013284368 0.0022309497 0.0024767607 0.0024322197 0.0020344125 0.0014436868 0.0011948136 0.0023278266 0.00069344847 0.0008866453 0.0015491934 0.0016650001 0.0005478549 0.0007555275 0.005264195 0.0009008427 0.00015004766 0.00028923844 0.00044958622 0.00040560192 0.00034157417 0.0003727529 0.00027977346 0.00020934294 0.00020572398 0.00015867749 0.0002839492 0.00035215268 0.00018846431 0.0001238798 0.0009896464 0.057266705 0.054059193 0.05404583 0.055269316 0.054171104 0.055322766 0.057567358 0.05789752 0.05418725 0.0554305 0.054623473 0.056162924 0.05565933 0.056093883 0.05658133 0.058477942 7972.0 7.89576 62945.0 0.008737787 0.00703789 0.007069664 0.0065771705 0.009166732 0.007768687 0.0065612835 0.006767813 0.0066883788 0.006958456 0.006815474 0.0066883788 0.007355628 0.0076733655 0.015600922 0.030169195 0.006815474 0.0077051395 0.0074191755 0.0074032885 0.0074032885 0.007085551 0.0069107953 0.00749861 0.0066089444 0.0072603067 0.007355628 0.007069664 0.006545397 0.0069902297 0.0076892525 0.0077369134 0.0058463737 0.008245293 0.0074032885 0.008435936 0.008292954 0.007864009 0.008515371 0.007371515 0.007022003 0.009071412 0.0071173245 0.011136707 0.009023751 0.007514497 0.0072761937 0.0072761937 0.011517992 0.0066089444 0.008610692 0.009833982 0.0088331085 0.009007864 0.006736039 0.0074350624 0.0067201527 0.0062753195 0.007371515 0.0071332115 0.006942569 0.006926682 0.0074032885 0.008181746 0.0066883788 0.036126778 0.008991977 0.025164826 0.015028994 0.040066727 0.008404163 0.009452697 0.014425292 0.013090794 0.013154341 0.008356501 0.027659068 0.01458416 0.026721742 0.022734134 0.011089046 0.007085551 0.023846215 0.028993566 0.024354596 0.016728891 0.013154341 0.0076574786 0.006926682 0.009452697 0.009611566 0.0066407183 0.0063547543 0.0076574786 0.0071014375 0.0066089444 6.3616433 0.0 1.0 5.0 29.0 1797672.0 253952.0 0.0 0.0 87.0 0.0 1.0 0.0 0.0 0.0 1519370000.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 56.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 6.0 1.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 -3072.0 174592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.454468 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.875394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.014628 -4.9947953 6.579481 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 35888.0 0.0 0.0 -64.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23864.0 -2708.0 174272.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2708.0 73728.0 174272.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.113203645 0.02099435 0.0065333773 0.00672869 0.024833461 0.002634103 0.0043212892 0.003050014 0.016899763 0.0032174247 0.0020202636 0.0021275112 0.010466658 0.0013575963 0.002180699 0.016605923 0.01164202 0.0021397183 0.0012922015 0.0018694196 0.009929548 0.0013793946 0.0011675153 0.0011875698 0.006577846 0.00097307476 0.0009172712 0.00077776227 0.0049857004 0.0005815778 0.00065220427 0.00085797993 0.004383196 0.00081787107 0.0006888253 0.000579834 0.043611363 0.0009974889 0.0006199428 0.00043160576 0.0030657088 0.00055629184 0.00044642857 0.0033813477 0.0027535574 0.0004507882 0.000529262 0.0005998884 0.0032305035 0.0006888253 0.0009852818 0.0047668456 0.002571324 0.00053885323 0.0005623954 0.00052315847 0.0024239677 0.0014447893 0.00080479216 0.005078125 0.0017621722 0.0021449497 0.00056849886 0.00052490237 0.006775774 0.0048322403 0.0023001535 0.0013558523 0.020594133 0.0027770996 0.0045645577 0.002809361 0.00526995 0.0019792828 0.0012765067 0.0013724191 0.010263498 0.002040318 0.0026994979 0.002028983 0.01219308 0.0044058664 0.0019435338 0.002884347 0.0038984027 0.0025939941 0.0058933804 0.0041852677 0.0017002651 0.0011997768 0.0005397252 0.0034981864 0.0023411342 0.0042027063 0.00592041 0.0044817245 0.00095040456 0.0003932408 0.0004499163 0.0003060477 0.0012756347 0.0016427176 0.0023620606 0.00031912667 0.0022443498 0.00042114258 0.005861119 0.00049351284 0.0012119839 0.00026419503 0.00070103235 0.00097307476 0.0019417899 0.00082571845 0.00061558315 0.00055280415 0.024282401 0.0094595775 0.0008370536 0.0008126395 0.002947998 0.0013776507 0.00039760044 0.00041242328 0.0038225446 0.0013148716 0.0017656599 0.0021745954 0.0032732282 0.003164237 0.0007533482 0.0229405 0.0071271625 0.01425694 0.0022408622 0.0014805385 0.0018249511 0.0132428855 0.0009652274 0.07437395 0.0014796666 0.016698347 0.0013942174 0.0010149274 0.0013610839 0.00035226005 0.0002973284 0.00029384068 0.00097220286 0.0018694196 0.0003766741 0.00032784598 0.00060337613 0.00047433036 0.0003173828 0.00047084264 0.00058070594 0.0002720424 0.00032958985 0.00033220564 0.0012642996 0.00087629043 0.00040108818 0.00029035297 0.0008614676 0.00019356865 0.00025809152 0.000226702 0.0009852818 0.0002293178 0.00021623884 0.00019356865 0.0004106794 0.00028250559 0.00024501255 0.0010637556 0.0012913295 0.0002859933 0.00030517578 0.00033743723 0.00070103235 0.00026768274 0.00091029576 0.000566755 0.0018232074 0.00089808874 0.00080043246 0.00048828125 0.00093558175 0.00029558456 0.0008588518 0.0007332938 0.013402448 0.0068115233 0.0059064594 0.0035522461 0.00627703 0.0006068638 0.0031781879 0.008645194 0.00436227 0.005453927 0.0012442452 0.0019409179 0.028640311 0.00084228517 0.0038364956 0.0038338797 0.0024466377 0.0008972168 0.0018947056 0.00036621094 0.00055106025 0.00031040737 0.0006347656 0.0004473005 0.001184082 0.00073067803 0.000390625 0.0023515974 0.0003819057 0.0003313337 0.00029645648 0.00033220564 0.0011160715 0.00090767996 0.00043160576 0.00043770927 0.0013610839 0.002735247 0.0006286621 0.00027553012 0.022167096 0.0014413017 0.00029645648 0.0046657017 0.0040230886 0.00045427596 0.0008414132 0.0007516043 0.0052193776 0.0017046247 0.0016758511 0.0024492536 0.0011893136 0.00082833425 0.0052376883 0.0016950335 0.004447719 0.0023986816 0.0010855539 0.0011544364 0.0011483328 0.0008998326 0.0019356863 0.032484654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048871763 2.6617656e-05 2.9672141e-05 1.7017845e-05 5.23626e-05 3.49084e-05 6.98168e-06 3.0981206e-05 7.4616706e-05 8.7271e-06 8.290745e-06 9.163455e-06 3.8835595e-05 9.59981e-06 2.61813e-05 3.0981206e-05 0.0011833948 7.3744e-05 0.00011563407 5.148989e-05 0.00015577873 0.00012043398 0.000102543425 7.7234836e-05 0.0002434861 3.141756e-05 2.705401e-05 4.0581017e-05 0.00024086796 2.007233e-05 9.643446e-05 0.000100798 0.010027874 0.0010664517 0.0018069461 0.0008539467 0.002105413 0.0017070208 0.00052100787 0.0014465168 0.0052262237 0.00027577637 0.00028275803 0.00045817276 0.0029349239 0.00038399242 0.0011982309 0.0018763265 0.20577498 0.040898245 0.055317596 0.024757037 0.063648924 0.054386415 0.016594581 0.046679948 0.14588177 0.007837809 0.006615142 0.009701044 0.08651873 0.011570825 0.036574405 0.056768913 0.019514669 0.004875831 0.0066391416 0.002946269 0.0069908435 0.005660397 0.0026124574 0.0053196037 0.01487796 0.0010734333 0.0010690697 0.0012828837 0.008854952 0.0015691326 0.004649799 0.006790993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1688.0 5.7624407 9727.0 0.027038142 0.003803845 0.0017477126 0.0026729722 0.17065899 0.0009252596 0.0009252596 0.0011308729 0.018093966 0.0012336795 0.0022617457 0.02035571 0.018710805 0.0012336795 0.0019533257 0.0021589391 0.018402385 0.0017477126 0.01367328 0.006168397 0.012850828 0.00061683974 0.00030841987 0.0015420993 0.016654672 0.018813612 0.0011308729 0.03444022 0.009149789 0.00071964634 0.0018505192 0.0005140331 0.015935026 0.007093657 0.0014392927 0.0017477126 0.08985299 0.0015420993 0.0043178783 0.002981392 0.013056441 0.00041122647 0.0017477126 0.0011308729 0.03444022 0.00071964634 0.0025701656 0.0019533257 0.039683357 0.019636065 0.006168397 0.014495733 0.015935026 0.012131182 0.019841678 0.0170659 0.004626298 0.00791611 0.00030841987 0.019019226 0.011308729 0.01429012 0.021795003 0.021589391 0.0040094582 0.00082245294 0.00041122647 0.00041122647 0.0035982318 0.0005140331 0.010589082 0.00020561324 0.008738562 0.00061683974 0.015112573 0.00020561324 0.0053459443 0.00061683974 0.007504883 0.004831911 0.0054487507 0.0012336795 0.0011308729 0.0011308729 0.031356018 0.012748021 0.005140331 0.0011308729 0.0035982318 0.00041122647 0.00010280662 0.00030841987 0.015009766 0.0044206847 0.002981392 0.010075049 5.29583 0.0 0.0 0.0 2.0 1146880.0 12435456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1401700000.0 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 12.0 0.0 5.0 1.0 5.0 1.0 7276544.0 1024.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -230400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4516352.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7276544.0 0.0 180736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.42064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 -229968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4516118.0 0.0 -544.0 0.0 0.0 0.0 0.0 0.0 0.0 -4164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -197984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7276520.0 0.0 180288.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1064.0 11788352.0 260.0 11789416.0 180288.0 12017664.0 0.0 0.0 0.0 0.0 229968.0 12201984.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 11617032.0 64.0 11616960.0 0.0 0.0 1712.0 7282688.0 0.0 0.0 0.0 0.0


Input: 0.340968 0.012084023 0.0064487956 0.0047710976 0.0074646072 0.0033048354 0.00439419 0.0023211988 0.010479867 0.0018339768 0.0022844272 0.0013743335 0.0048952014 0.0018845376 0.0010020224 0.0069222283 0.0052031623 0.00088251516 0.0006297114 0.00095146167 0.0023487774 0.0020729913 0.0011491083 0.0006756757 0.002174113 0.0009284795 0.00051480054 0.0007354293 0.0017420482 0.00075381505 0.00066188636 0.0011812833 0.048046514 0.0006802721 0.0006251149 0.0009836367 0.0030520316 0.0010112153 0.00043206473 0.0008181651 0.0011077404 0.000445854 0.00065728993 0.0015214194 0.0010479868 0.0024958632 0.0012824049 0.000827358 0.0037598824 0.0017788196 0.0015627872 0.005037691 0.0018523625 0.0017696267 0.0014478764 0.0018385733 0.0020637985 0.002334988 0.00216492 0.0035622357 0.0017742232 0.002091377 0.0012640192 0.0013421585 0.0039253538 0.01074646 0.014129436 0.001654716 0.0027762456 0.0074967826 0.0019856591 0.0017144695 0.0018891341 0.0015489979 0.0006940614 0.000583747 0.0013927192 0.0032404854 0.00097444386 0.000827358 0.0050606728 0.0018063983 0.0011537047 0.0025372312 0.0013513514 0.0034657107 0.0030428388 0.0025877918 0.001273212 0.0044631367 0.00055616844 0.0010985475 0.000827358 0.0027210885 0.0018523625 0.0019029233 0.0010663725 0.00590182 0.001135319 0.0030979959 0.0037782681 0.007735797 0.0047573084 0.0016455231 0.0037369002 0.0048262547 0.0040908256 0.0009330759 0.0035990071 0.0018293804 0.004720537 0.005157198 0.0034197462 0.00051480054 0.005888031 0.0048768157 0.012111601 0.010222468 0.0015719802 0.0028681743 0.0016225409 0.0017098731 0.00088251516 0.00050560763 0.0012134584 0.0021511307 0.0009928296 0.0014294907 0.0040172827 0.002312006 0.0010158117 0.010139732 0.0024177239 0.008710241 0.00084114727 0.0005239934 0.0019121162 0.008080529 0.00096525095 0.01869829 0.000891708 0.005626034 0.0005239934 0.00057455414 0.0010204081 0.0003723111 0.00034473249 0.0006113256 0.0010709689 0.0011445119 0.00030796102 0.0004044861 0.00095146167 0.00039529326 0.00020224306 0.00029876817 0.0007492186 0.0006802721 0.00028497886 0.0003906968 0.0010617761 0.0009192866 0.00031255744 0.0008181651 0.0007859901 0.0004596433 0.00037690753 0.00028957528 0.0010341975 0.00035392537 0.0002619967 0.0003493289 0.0007400257 0.00023901452 0.00033094318 0.000413679 0.0012226512 0.00046423974 0.0004044861 0.0014524729 0.0007492186 0.00097444386 0.000997426 0.0011583011 0.001411105 0.0007630079 0.0006113256 0.0005653613 0.00092388305 0.0009100938 0.0006802721 0.00056076486 0.0070095607 0.0033691856 0.0024682847 0.0034886927 0.0029692957 0.0006664828 0.0021235521 0.003989704 0.0022476558 0.0025602132 0.000583747 0.00068486854 0.0045596617 0.00051020406 0.0009100938 0.0007859901 0.0015903659 0.0009146902 0.0011261262 0.0006940614 0.0010112153 0.00031255744 0.00077220076 0.00060213276 0.0016914874 0.00070325425 0.00057915057 0.0010663725 0.0012824049 0.00085953303 0.00049181835 0.00042287185 0.0025096524 0.00072164 0.0005653613 0.00043206473 0.0017282589 0.0011812833 0.00053318625 0.00049181835 0.010341975 0.0022200772 0.0006067292 0.0037093216 0.0033186248 0.00036771465 0.0004964148 0.0010433904 0.0031347675 0.0010296011 0.0005653613 0.00076760433 0.001686891 0.0005929399 0.011348593 0.0015719802 0.0034519213 0.0011491083 0.00082276156 0.0015352087 0.0027992278 0.0033507997 0.0029646994 0.043845374 0.061437815 0.0 4.6282585e-06 0.0 9.256517e-06 6.9423872e-06 6.9423872e-06 0.0 2.3141292e-06 0.0 0.0 1.38847745e-05 1.8513034e-05 0.0 4.6282585e-06 0.00010644994 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040127 2.3141292e-06 2.3141292e-05 4.6282585e-06 8.562278e-05 2.7769549e-05 0.0 0.0 4.6282585e-06 1.6198905e-05 0.0 2.7769549e-05 4.1654326e-05 0.0 0.0 0.0004929095 0.007817129 0.00012033471 0.00010876407 2.0827163e-05 0.00024529768 9.719343e-05 9.256517e-05 6.7109744e-05 4.6282585e-05 3.7026068e-05 4.8596714e-05 4.8596714e-05 6.0167356e-05 2.545542e-05 1.38847745e-05 0.00062944315 0.11274206 0.0001596749 0.03879406 0.00038414545 0.0013931057 0.00077523326 0.0068683354 0.0029852267 0.00020364336 8.330865e-05 0.00018744446 0.00010413581 0.00020827162 0.00012264884 0.00015504665 0.00071043766 0.025115244 0.00022215639 0.0027376148 0.0008631702 0.0007358931 0.000286952 0.0028371224 0.0022261923 0.00034017698 0.00010644994 0.00010182168 9.256517e-05 0.0002614966 0.000115706454 0.0004211715 0.001450959 0.03078486 0.0007034953 0.0021058575 0.00031472158 0.009997038 0.0016708012 0.005271586 0.0029227452 0.0003332346 0.0007335789 0.00010644994 0.0010043321 0.0004049726 0.00024529768 0.00028463788 0.014206439 0.013748242 0.00024529768 0.00090713863 0.00018975859 0.0015851784 0.000573904 0.0026010813 0.0013213677 0.00012264884 0.00014810427 9.025104e-05 0.00018050207 0.0001828162 0.00017124556 0.00050679425 0.0011223527 0.020635089 0.0004605117 0.0021359413 0.0007937463 0.00462363 0.0015273253 0.01018911 0.0061000446 0.00048133885 0.00023835531 0.00019670097 0.0011524364 0.00059935945 0.0001666173 0.00038645958 0.0024460345 0.010739873 0.00039571608 0.0016198904 0.00069655286 0.0029088603 0.00081457343 0.0041052653 0.0028000963 0.00030777918 0.00020364336 0.00022447052 0.00080763106 0.00035174764 0.00021984227 0.00025224008 0.001987837 0.020794764 0.0017795654 0.003119446 0.0148983635 0.0032768068 0.0017101414 0.006236578 0.004413044 0.0021822238 0.0013329384 0.0014301318 0.0013468232 0.0025293431 0.0019068425 0.0016036915 0.0025293431 0.0071066907 0.00066415506 0.00093490817 0.00072895066 0.0010321016 0.0010668136 0.0007937463 0.0012658286 0.0041145217 0.00043968455 0.00030777918 0.00069423876 0.0020040357 0.0005715899 0.0013121113 0.0053988635 0.057985134 0.008842288 0.0066508073 0.008386404 0.015444498 0.014197182 0.010290932 0.013968083 0.032967083 0.0029412583 0.0028949755 0.004526437 0.018311704 0.0048874407 0.014002795 0.030148474 0.03907407 0.008478969 0.005690444 0.007671338 0.014049078 0.012544894 0.0080462275 0.0135307135 0.026022382 0.0026543061 0.0028209235 0.0035892143 0.013887089 0.0054173763 0.011198071 0.0196377 0.00075903436 0.00034711938 0.0003100933 0.0005091084 0.00024529768 0.00032166395 0.0005577051 0.00035637588 0.00021752814 0.0001596749 0.00018513034 0.0001666173 0.00016893142 0.00015504665 0.00015041839 0.00012959124 889.0 15.744657 13997.0 0.047152963 0.0022862041 0.0017146531 0.0012145459 0.004286633 0.0050725155 0.00085732655 0.0048581837 0.0033578624 0.0015003216 0.0024290918 0.0017860971 0.0037150818 0.0026434236 0.010073587 0.0057155103 0.015717654 0.0102164745 0.008859041 0.00828749 0.0105736945 0.008859041 0.007715939 0.010645138 0.009359148 0.007287276 0.012574123 0.006501393 0.008644709 0.010287919 0.005929842 0.0057869544 0.0048581837 0.008644709 0.0027148675 0.010502251 0.010788026 0.0051439595 0.0038579695 0.005429735 0.0073587196 0.0075730514 0.0012145459 0.0010002144 0.0056440667 0.0035721941 0.003000643 0.0019289848 0.0095020365 0.0022147603 0.004143745 0.010287919 0.006144174 0.003000643 0.0057869544 0.0062870616 0.0034293062 0.0015717654 0.0018575409 0.0016432093 0.0027863113 0.00092877046 0.00092877046 0.0087875975 0.005215403 0.032721296 0.0067157247 0.030506536 0.027291562 0.070658 0.0087875975 0.013574338 0.009359148 0.03900836 0.0040008575 0.0034293062 0.028006 0.013002786 0.031006644 0.04622419 0.016789312 0.0012859899 0.048367508 0.03586483 0.059298422 0.01857541 0.0062870616 0.020790169 0.007715939 0.008358934 0.0020718726 0.0005001072 0.002929199 0.0007144388 0.0010002144 0.0015003216 5.7838383 1.0 21.0 0.0 3.0 217560.0 225280.0 1.0 0.0 102.0 1.0 1.0 1.0 0.0 0.0 1461870800.0 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 11.0 0.0 6.0 0.0 6.0 0.0 93696.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34304.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -93696.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9597108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8575068 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1988802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.637931 0.0 3.2939456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34198.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -93292.0 0.0 16032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 130012.0 16032.0 188416.0 0.0 0.0 9176.0 208384.0 6272.0 204800.0 56.0 98832.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 125880.0 0.0 0.0 436.0 98304.0 0.0 0.0 0.0 0.0


Input: 0.056700274 0.0083030835 0.006168005 0.005657285 0.00575052 0.0049611316 0.0041955695 0.0054200543 0.0050502224 0.0056303507 0.003748042 0.004474238 0.0049590594 0.0031689499 0.004326098 0.0046441327 0.005046079 0.0037729046 0.004930053 0.0041603474 0.004353033 0.0031720577 0.0041044066 0.0038443848 0.0050667976 0.0033440243 0.0031544466 0.002933791 0.004155168 0.0034362231 0.0037905157 0.0037956955 0.006169041 0.0038247018 0.0034859485 0.0030332413 0.0048989747 0.0041603474 0.0038423128 0.0037179997 0.004725972 0.0038899663 0.0033347008 0.003095398 0.0043737516 0.003734575 0.0037273231 0.003585399 0.005517433 0.0039407276 0.0031067934 0.0029037485 0.003675526 0.0030674275 0.0026862004 0.0028664544 0.004167599 0.0033077663 0.0035253144 0.0033554197 0.00399874 0.0032166033 0.0035077033 0.0034465827 0.0065979213 0.0039448715 0.0036175132 0.0032259268 0.0041582757 0.0032197111 0.003550177 0.0030643197 0.0049953177 0.0037697968 0.0037003886 0.003586435 0.0041251252 0.0031233684 0.0035646802 0.0034714453 0.0051600323 0.0036289087 0.0036506634 0.0033378087 0.0039324397 0.0033719947 0.0033647432 0.0035439613 0.0046493127 0.0036506634 0.0038060548 0.003513919 0.004117874 0.0033833901 0.0036838136 0.0037832642 0.0059079835 0.003622693 0.0033398804 0.0029586535 0.0040049558 0.0030508523 0.0032632207 0.0030290976 0.0049766707 0.0031575544 0.0031948485 0.0030446367 0.0035698598 0.0028374481 0.0030819306 0.0031969203 0.00450946 0.0032922272 0.0032238548 0.0031461592 0.0038889304 0.0033222695 0.0032901552 0.0036247647 0.0046285936 0.0032891193 0.0034828407 0.0031782733 0.0040391423 0.0031927766 0.0034693733 0.0033440243 0.008647017 0.0046016593 0.004010136 0.0035242783 0.0043633925 0.0034341514 0.00302081 0.0033875338 0.0045436462 0.003837133 0.0029596894 0.0031927766 0.0037262873 0.0027877227 0.0028426277 0.0029824802 0.005227369 0.0032072798 0.0035004516 0.0030342774 0.003659987 0.0031782733 0.0033005148 0.0032632207 0.0045426106 0.002836412 0.0030425647 0.0027079552 0.0035201346 0.0032279987 0.0029824802 0.0031575544 0.005021216 0.0034072169 0.003275652 0.002804298 0.0037749766 0.0030052708 0.0030560321 0.003185525 0.0041375565 0.003000091 0.0031254403 0.003022882 0.0036496276 0.0028374481 0.0029161798 0.0030259897 0.004660708 0.0031099012 0.003839205 0.002856095 0.003568824 0.003149267 0.0029938754 0.0031212964 0.004253582 0.003149267 0.0033347008 0.0031824172 0.0036506634 0.0031875968 0.003327449 0.0033460963 0.0067211986 0.004060897 0.0037262873 0.0033409165 0.004114766 0.0032559691 0.0033025865 0.003222819 0.004326098 0.0033357367 0.0031161169 0.003093326 0.0036475556 0.0029928396 0.003076751 0.0028011901 0.0042452947 0.003277724 0.0030902182 0.0029949115 0.0037148918 0.0030311695 0.0029368987 0.0029545096 0.003983201 0.003111973 0.002728674 0.0026344033 0.00353153 0.002945186 0.0035750396 0.0028819935 0.004966311 0.0032321424 0.0033999651 0.0029752285 0.0038081268 0.003076751 0.0031938124 0.002911 0.004442124 0.0054480247 0.003456942 0.0031285482 0.0038019111 0.0030819306 0.003254933 0.0031917407 0.0046161623 0.0033181256 0.0034175762 0.003039457 0.003734575 0.0030881462 0.0033170898 0.0032538972 0.004353033 0.0030332413 0.0031927766 0.0028664544 0.004014279 0.003091254 0.0042183604 0.004516712 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09921813 0.062008087 0.062469903 0.055308618 0.060570743 0.05955682 0.05491426 0.05448928 0.06045036 0.053156756 0.052144907 0.05293726 0.05645071 0.050541002 0.056683693 0.053839106 4024.0 5.702783 22948.0 0.017169252 0.010414851 0.009412585 0.008628203 0.013465226 0.01246296 0.011809308 0.01150427 0.01259369 0.009717623 0.008453895 0.008628203 0.01394457 0.010589158 0.011809308 0.01002266 0.01677706 0.011852885 0.008715357 0.0075387834 0.009804776 0.008541049 0.0078002443 0.008410319 0.010240544 0.008541049 0.009630469 0.008846086 0.01150427 0.008976817 0.009630469 0.009194701 0.01799721 0.010937773 0.010371274 0.009107548 0.010894195 0.008846086 0.010676311 0.008279589 0.014249608 0.011591424 0.009717623 0.008933241 0.011417117 0.009325432 0.011678577 0.009586892 0.014772529 0.009586892 0.009935507 0.008976817 0.0120707685 0.009325432 0.0095433155 0.009804776 0.013726686 0.009281855 0.010545582 0.009630469 0.011155657 0.0098483525 0.010371274 0.010676311 0.017910058 0.010981349 0.009674045 0.008192435 0.013116611 0.0082360115 0.009412585 0.008366742 0.015426181 0.009281855 0.008889664 0.00867178 0.011329964 0.008105282 0.009935507 0.0079309745 0.013160189 0.008018128 0.008715357 0.00880251 0.01137354 0.009456161 0.008148858 0.00784382 0.010894195 0.008889664 0.012027192 0.008584626 0.011460694 0.008976817 0.009979083 0.008715357 6.5546336 0.0 0.0 0.0 14.0 965304.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 94208.0 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 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.13111933 0.012272222 0.0075976714 0.010294997 0.014298268 0.0037774767 0.00225184 0.002654608 0.012851965 0.0021725069 0.0033869138 0.002074866 0.006993519 0.0073535694 0.0025386596 0.008665617 0.008586284 0.0026118902 0.0007506133 0.0008177413 0.005663164 0.0023372755 0.0018246616 0.0008604592 0.0039666556 0.0007933311 0.0010435355 0.002074866 0.0026118902 0.0017819438 0.0012327145 0.0013120476 0.0022884551 0.0005065114 0.00040887066 0.0004943063 0.0028071718 0.0010496381 0.00040887066 0.0007628184 0.0017819438 0.00034174265 0.0004149732 0.0017148157 0.0021603017 0.00054922927 0.00044548596 0.00047599868 0.0019589176 0.0007323057 0.001360868 0.005675369 0.0010801508 0.0024837367 0.00059194706 0.0007323057 0.002007738 0.0015805598 0.0008787668 0.004583013 0.0014707139 0.0047233715 0.00061635725 0.000512614 0.0033075805 0.0018551743 0.0029719404 0.00053702417 0.0012632273 0.017996412 0.003380811 0.00098251 0.002343378 0.0013303553 0.0011899967 0.00042107576 0.0010069202 0.010539099 0.002331173 0.0012144069 0.012308838 0.0058706505 0.003917835 0.0041253217 0.0010435355 0.0054129595 0.007207108 0.00481491 0.0010679457 0.0029475302 0.00031733245 0.004631833 0.0010130228 0.0101302285 0.0066700843 0.0054556774 0.0014585088 0.0010496381 0.00075671583 0.0054495744 0.006334444 0.0017209183 0.0034540417 0.0003356401 0.01195489 0.00042107576 0.009580999 0.0010069202 0.0010496381 0.0006590751 0.0010008177 0.010459766 0.0013974833 0.00043328086 0.0008299464 0.00059194706 0.008867001 0.0101363305 0.0005858445 0.00053702417 0.0021908144 0.0012693298 0.00065297255 0.00075671583 0.002087071 0.0028742997 0.0023189678 0.002331173 0.0049918834 0.0017392259 0.0008055362 0.013163194 0.0039056302 0.010990688 0.0012205094 0.00064687 0.0033197857 0.018655486 0.0033136832 0.058517326 0.0020443534 0.02264045 0.0016110725 0.00075671583 0.0010069202 0.000512614 0.000323435 0.00027461463 0.0008543566 0.0013181502 0.0005065114 0.0004271783 0.0009580999 0.0006346649 0.00040887066 0.0004393834 0.00074451073 0.00054922927 0.0010008177 0.00040887066 0.0010496381 0.0029475302 0.0005431267 0.0022152246 0.0013242527 0.00043328086 0.0004027681 0.00037225537 0.00129374 0.00044548596 0.00090317696 0.0004271783 0.0006712802 0.000256307 0.00029292225 0.00037225537 0.0015439445 0.0010496381 0.0003356401 0.0004271783 0.000836049 0.00047599868 0.0009886126 0.0010679457 0.0016354827 0.0009458948 0.0004943063 0.00046379358 0.00075671583 0.0005675369 0.0012022018 0.00042107576 0.007731927 0.0033319907 0.006901981 0.0029597355 0.0054251645 0.0013974833 0.008268951 0.00773803 0.004259578 0.0023006604 0.0012815349 0.0026485054 0.027296694 0.00068958785 0.008091978 0.0040826043 0.0045219874 0.00097640755 0.0023799934 0.0005004089 0.00095199735 0.00026851209 0.0005553318 0.0005065114 0.0020260457 0.0005309216 0.0005553318 0.0016232776 0.0011228687 0.00066517765 0.00060415216 0.00039056301 0.0015988674 0.00047599868 0.0005065114 0.00037835792 0.0014340986 0.0036920412 0.0004271783 0.00045769103 0.033600625 0.0020199432 0.00053702417 0.0040765014 0.00546178 0.0005248191 0.00074451073 0.0007201006 0.0069202883 0.0016598928 0.00056143437 0.00093979225 0.0049796784 0.0005187165 0.0033930163 0.0010923559 0.0031489143 0.001226612 0.0013181502 0.001104561 0.0115399165 0.0023677882 0.0034479392 0.06035419 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031385121 0.00021189563 0.00024260515 7.063188e-05 0.00022417944 0.0003224499 0.00030709512 0.00018732803 0.00039615273 4.2993317e-05 0.00016583137 0.00010134139 0.00041764937 4.913522e-05 0.00016583137 0.0002456761 0.030945975 0.0025581024 0.00093664014 0.0043208282 0.004796826 0.0061019803 0.007919983 0.0036482902 0.016804244 0.001133181 0.0011946 0.001391141 0.008687722 0.0015231918 0.0055184993 0.009437033 0.16524175 0.028676543 0.0115744155 0.021419885 0.038629495 0.05894691 0.040668607 0.026523806 0.10933508 0.0072873672 0.010269261 0.0087153595 0.07046912 0.01226845 0.042247076 0.07728663 0.029548693 0.006934208 0.003715851 0.0052451845 0.009194428 0.011737175 0.0078493515 0.0075729657 0.022331957 0.0018855641 0.0022202977 0.0029726808 0.015035378 0.004416028 0.008801347 0.017771594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 171.0 6.0526314 1035.0 0.016425122 0.00096618355 0.0019323671 0.0019323671 0.020289855 0.06666667 0.0 0.0 0.02705314 0.00096618355 0.0 0.004830918 0.011594203 0.00096618355 0.006763285 0.00096618355 0.012560386 0.015458937 0.0077294684 0.0038647342 0.004830918 0.0038647342 0.0019323671 0.0038647342 0.0057971017 0.006763285 0.004830918 0.0077294684 0.012560386 0.0 0.0019323671 0.00096618355 0.011594203 0.0019323671 0.017391304 0.0028985508 0.010628019 0.0019323671 0.0019323671 0.0077294684 0.015458937 0.0019323671 0.0019323671 0.0019323671 0.016425122 0.0019323671 0.0019323671 0.009661836 0.047342993 0.028985508 0.021256039 0.041545894 0.006763285 0.00096618355 0.07149758 0.025120772 0.006763285 0.0019323671 0.0019323671 0.0038647342 0.0057971017 0.0019323671 0.0038647342 0.0057971017 0.0077294684 0.008695652 0.0028985508 0.08888889 0.0038647342 0.0038647342 0.010628019 0.004830918 0.11400966 0.0019323671 0.014492754 0.0 0.00096618355 0.0019323671 0.0038647342 0.0038647342 0.009661836 0.0 0.006763285 0.0019323671 0.014492754 0.016425122 0.0019323671 0.0 0.014492754 0.00096618355 0.00096618355 0.0019323671 0.0057971017 0.00096618355 0.012560386 0.0 5.3689094 0.0 0.0 0.0 1.0 163866.0 3514368.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1393251300.0 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 2295808.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -280576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 701952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -107520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2295808.0 0.0 72704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.487732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -280306.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 701682.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -149884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2295724.0 0.0 72308.0 0.0 0.0 0.0 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 0.0 0.0 400.0 2989124.0 72308.0 3158016.0 0.0 0.0 6496.0 3459584.0 159304.0 3231744.0 28.0 2305696.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2819832.0 0.0 0.0 2712.0 2301952.0 0.0 0.0 0.0 0.0