Input: 0.14257449 0.00863869 0.0041899267 0.0034271036 0.0062469356 0.0039522448 0.0020308762 0.0019624338 0.007890801 0.0015119575 0.0017035966 0.0015069799 0.0045781825 0.001373828 0.0012319654 0.0038937572 0.0061697825 0.0015069799 0.001188411 0.00089721923 0.0024738861 0.001984833 0.0007690451 0.0008275323 0.0023108684 0.000756601 0.00083250995 0.00071304664 0.0016202212 0.00060602743 0.0005960721 0.0005674507 0.0038962462 0.0005886057 0.0006545594 0.00054505136 0.0041712606 0.0013228073 0.00046665355 0.0005637175 0.001188411 0.00065580383 0.00058611686 0.0009469956 0.0011100132 0.0023519339 0.0006794476 0.00052016316 0.0055475775 0.0026929022 0.003127201 0.010150649 0.0032665748 0.0019139018 0.0026667695 0.0016239544 0.003780516 0.001978611 0.00071802427 0.0014895581 0.0016749752 0.0009805947 0.00046789797 0.00053136284 0.011833089 0.003948511 0.0049266173 0.008872639 0.0038887796 0.032727968 0.003285241 0.0027227679 0.0034009712 0.0035664777 0.002200116 0.002366867 0.0027240124 0.0044101872 0.0011660117 0.0015393345 0.009106589 0.0021553172 0.002066964 0.009807191 0.003221776 0.0139100095 0.003239198 0.0021067853 0.0019363011 0.006548083 0.002756367 0.0032765302 0.001574178 0.0046615577 0.0023905106 0.0036237205 0.005795215 0.0044350754 0.0017483954 0.0033026629 0.009365425 0.006195915 0.0040045097 0.0015716892 0.007957999 0.0042907237 0.0037294952 0.0014036939 0.0036087874 0.0017795055 0.004446275 0.0040916186 0.0032653306 0.0017272404 0.004958972 0.0038950017 0.010347265 0.005603576 0.0017732835 0.0011336571 0.0029368063 0.001270542 0.0005338517 0.00059358333 0.001662531 0.0025323734 0.0010689477 0.0008797975 0.0052738073 0.0011647673 0.0010950804 0.009115299 0.003139645 0.00324542 0.0010403263 0.00062220474 0.0026779692 0.015276371 0.0022461591 0.05202627 0.001203344 0.011064045 0.0008623758 0.00068442523 0.0026717472 0.000446743 0.0007317128 0.0006495818 0.0011299239 0.000942018 0.0015206684 0.000571184 0.0011809446 0.0005923389 0.00050274143 0.00071677985 0.0009619285 0.00047909765 0.00046789797 0.0004218548 0.00090219686 0.0033487058 0.00046914237 0.0025659723 0.0014323153 0.0008225547 0.0005674507 0.00045545388 0.0010527704 0.0004604315 0.0005126967 0.00049029733 0.0008524205 0.00045296506 0.0007466457 0.0006620258 0.0013327625 0.00068940286 0.0017409289 0.0005400737 0.00088353077 0.0006744699 0.00071677985 0.0015891109 0.003169511 0.002549795 0.0046789795 0.00082877674 0.0010067272 0.0004828309 0.00085864257 0.0007192687 0.012069528 0.0011560564 0.0023009132 0.010411974 0.004384055 0.0010652145 0.0035789218 0.003388527 0.0018815472 0.0017757723 0.0009893056 0.0013103632 0.0016923969 0.00089846365 0.0009980164 0.00094824005 0.0028920076 0.0011573008 0.0029928049 0.0013613839 0.0018243043 0.0007727783 0.0016139991 0.0008810419 0.003388527 0.0006582926 0.0010925916 0.0017981717 0.0015057354 0.0007230019 0.0005662063 0.0008474429 0.0024539756 0.0006620258 0.00088353077 0.000996772 0.0024477534 0.002446509 0.00055376225 0.0006981137 0.027777709 0.006062763 0.001100058 0.0059358333 0.006572971 0.0010490372 0.00068442523 0.0007590898 0.007287262 0.0009830835 0.0018280376 0.0009245963 0.009193697 0.0021839386 0.0041214842 0.0026095267 0.010129494 0.0030724471 0.0030923577 0.00363492 0.014980202 0.004020687 0.0043280562 0.069357164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017872466 0.0 0.0 0.0005207086 0.00024632324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009598499 0.0 0.0 0.0041457135 0.0028585969 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017579373 0.0 0.0 0.0011991889 0.0008742916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.620348 83522.0 0.005603314 0.00013170183 0.0005746989 9.578314e-05 0.0034481932 0.00058667175 0.00013170183 0.00017959341 0.00040707836 0.00041905127 0.0007542923 0.00059864466 0.0005148344 0.014666795 0.0011613707 0.00047891572 0.024113407 0.017025454 0.025190968 0.01233208 0.020820862 0.014211824 0.021658964 0.0112904385 0.024257082 0.014307608 0.00085007545 0.00052680733 0.0009817772 0.0005507531 0.00011972893 0.00014367473 0.0014008285 0.008776131 0.00761476 0.014930198 0.0073393835 0.01659443 0.004860995 0.0031608439 0.005064534 0.018103015 0.0025262805 0.0041067023 0.0070161154 0.006860468 0.0045616725 0.009482532 0.013277939 0.002693901 0.0061540673 0.02106032 0.013445559 0.0064414167 0.006070257 0.003591868 0.0028615214 0.005507531 0.0015684491 0.0030770337 0.0011972893 0.0028734945 0.0029932233 0.022832308 0.00026340366 0.031380955 0.013038481 0.027633438 0.02702282 0.054344963 0.011925002 0.010404444 0.019587653 0.035703167 0.007566869 0.0069442783 0.025190968 0.012272215 0.038504824 0.035104524 0.01977922 0.00281363 0.03972606 0.029249778 0.04303058 0.011314385 0.010488255 0.0059984196 0.014822442 0.0068724407 0.0010775604 0.00029932233 0.000562726 0.00026340366 0.00031129524 0.00032326812 5.7735066 0.0 2.0 14.0 4.0 803594.0 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 -6.577295 0.0 0.0 0.0 0.0 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: 0.18502787 0.027342713 0.007598885 0.0050106184 0.0052760816 0.0029532784 0.0027541812 0.0029864614 0.0071343244 0.0015264136 0.0028205467 0.0015264136 0.006006106 0.0019909742 0.0015595965 0.005773825 0.009457128 0.0053756307 0.0010950358 0.00102867 0.003915583 0.0053756307 0.0008295726 0.0010618529 0.002422352 0.0011282187 0.0013604991 0.0010950358 0.0016259623 0.0011282187 0.0008295726 0.0007632068 0.023692593 0.00092912134 0.00059729227 0.0006304752 0.0018582427 0.0065038493 0.00056410936 0.0008295726 0.0019909742 0.0012277674 0.0006304752 0.0023559863 0.001758694 0.0011282187 0.0030528272 0.001758694 0.0025550837 0.003816034 0.0021568888 0.005972923 0.0014268649 0.0015595965 0.0008959384 0.0007300239 0.0020241572 0.0029200956 0.0021237058 0.0026878153 0.0020241572 0.0015595965 0.0011945845 0.0010618529 0.0040814974 0.0023228033 0.0011282187 0.0033514732 0.0023228033 0.009191665 0.0035505707 0.0020241572 0.0032519246 0.0014600478 0.00059729227 0.0008295726 0.0020241572 0.004512875 0.0019909742 0.0012277674 0.011647199 0.0016923281 0.0019909742 0.005574728 0.002787364 0.0033514732 0.005773825 0.0048778867 0.002422352 0.004844704 0.00102867 0.0025550837 0.0013273162 0.004778338 0.0038823998 0.00434696 0.0014932307 0.008561189 0.0024555349 0.005176533 0.0064043007 0.01635917 0.0059397398 0.0023228033 0.0107844435 0.010983542 0.0034842049 0.00102867 0.008196177 0.0042142286 0.008528006 0.008063446 0.0073666046 0.0010950358 0.008328909 0.0077979825 0.017321477 0.015264136 0.0023228033 0.0016259623 0.0026878153 0.0017918769 0.000696841 0.00043137776 0.0025219007 0.0026214495 0.0015595965 0.0011614016 0.004778338 0.0023228033 0.00056410936 0.012045395 0.0039819484 0.010983542 0.0013273162 0.0014268649 0.0016259623 0.0087934695 0.0022564374 0.01908017 0.0013604991 0.009457128 0.0007963897 0.00059729227 0.002389169 0.00053092645 0.00039819485 0.00036501195 0.00096230424 0.001393682 0.00059729227 0.0007632068 0.000696841 0.0007300239 0.00046456067 0.00059729227 0.0007963897 0.0007632068 0.000696841 0.00046456067 0.0011614016 0.0014600478 0.00059729227 0.00092912134 0.00102867 0.00096230424 0.00023228033 0.00046456067 0.0011282187 0.00059729227 0.00046456067 0.00056410936 0.00102867 0.00059729227 0.00043137776 0.00036501195 0.0019909742 0.00056410936 0.00046456067 0.00043137776 0.000696841 0.0034842049 0.0012277674 0.0010950358 0.0015264136 0.0011945845 0.00056410936 0.0011282187 0.00092912134 0.0015264136 0.0011614016 0.0007963897 0.007897532 0.0021237058 0.0032187416 0.0033182905 0.0040814974 0.00043137776 0.0025882665 0.0029200956 0.0012941333 0.0027541812 0.0008627555 0.000696841 0.014434563 0.00046456067 0.00059729227 0.0007963897 0.0016591452 0.0006304752 0.0018582427 0.0006636581 0.0012277674 0.0008295726 0.0007963897 0.0012277674 0.0019909742 0.0006636581 0.0006636581 0.0011945845 0.0011614016 0.0007632068 0.000696841 0.0006636581 0.0016591452 0.00102867 0.0008295726 0.0008295726 0.0018250598 0.00056410936 0.0007300239 0.000696841 0.009589859 0.0025882665 0.00056410936 0.0055083623 0.004147863 0.0006636581 0.0006636581 0.0008627555 0.0023559863 0.0007963897 0.0011614016 0.0020241572 0.0014268649 0.0007300239 0.0014268649 0.002090523 0.005607911 0.0020241572 0.0015595965 0.0010950358 0.0050769844 0.0040151314 0.009556676 0.060990177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020908901 6.975447e-05 0.00069754466 0.0009591239 0.0019880023 0.0008893694 0.006399972 0.0030168805 0.00019182477 5.231585e-05 0.00015694754 5.231585e-05 5.231585e-05 3.4877234e-05 3.4877234e-05 0.0002092634 0.043038506 0.00038364955 0.017037528 0.00453404 0.006713867 0.0064697266 0.040754046 0.018327985 0.0012032645 0.00080217636 0.00036621094 0.00068010605 0.0004359654 0.00019182477 0.0004359654 0.0014822824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003679548 0.00040108818 0.005684989 0.00226702 0.0025285992 0.0010463169 0.0115269255 0.005493164 0.000453404 0.0003313337 0.00017438616 0.00027901787 0.0010986328 0.00027901787 0.00015694754 0.00031389509 0.04085868 0.0029645648 0.0027204242 0.0028424945 0.004673549 0.007847377 0.009225028 0.006417411 0.0066964286 0.002319336 0.001953125 0.002633231 0.0042898995 0.0021275112 0.0026506695 0.0069231307 0.11532157 0.026157925 0.013584682 0.01613072 0.01801409 0.035627093 0.024047852 0.030953543 0.05972726 0.004167829 0.004673549 0.009434291 0.031895228 0.007114955 0.021815708 0.081333704 0.015555246 0.0057373047 0.0059814453 0.004307338 0.006260463 0.00718471 0.00920759 0.009259905 0.011614119 0.0014125279 0.0013427734 0.0020751953 0.008475168 0.0027727399 0.0046212333 0.0113351 0.005301339 0.0038713727 0.0054757255 0.0043247766 0.004359654 0.0054234094 0.0065046037 0.0038364956 0.0042898995 0.0036621094 0.0035226005 0.0041503906 0.0038364956 0.0043945312 0.0042027063 0.004272461 263.0 19.243345 5061.0 0.12428374 0.0009879471 0.00059276825 0.00019758941 0.00059276825 0.028057696 0.0 0.0021734836 0.0025686624 0.002371073 0.0011855365 0.00039517882 0.00335902 0.002371073 0.011262597 0.006322861 0.0027662518 0.012250544 0.0075083976 0.0045445566 0.0019758942 0.0015807153 0.00079035765 0.00059276825 0.0011855365 0.00079035765 0.007310808 0.0009879471 0.0025686624 0.00335902 0.0013831259 0.00079035765 0.00019758941 0.006125272 0.00059276825 0.01343608 0.0055325036 0.010669828 0.007903577 0.0027662518 0.0027662518 0.00335902 0.00019758941 0.0011855365 0.004742146 0.004346967 0.0065204506 0.00335902 0.0059276824 0.0013831259 0.0065204506 0.0055325036 0.009879471 0.0021734836 0.0011855365 0.0019758942 0.0027662518 0.0039517884 0.00059276825 0.004742146 0.00039517882 0.004346967 0.0009879471 0.010472239 0.00059276825 0.041296188 0.011460186 0.025489034 0.027464928 0.08417309 0.019758942 0.008891524 0.009681881 0.05670816 0.00019758941 0.0029638412 0.03714681 0.019166173 0.044852797 0.04030824 0.014621616 0.00019758941 0.041493777 0.03754199 0.062438253 0.014424027 0.0039517884 0.0055325036 0.00671804 0.007113219 0.00059276825 0.0 0.0009879471 0.0 0.00019758941 0.00039517882 5.2056103 1.0 0.0 0.0 1.0 30136.0 36864.0 1.0 0.0 84.0 0.0 1.0 0.0 0.0 0.0 1208111700.0 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 0.0 0.0 0.0 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 1.0 7.0 10.0 5.0 1.0 4.0 0.0 20992.0 4096.0 4096.0 3.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.4124568 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.522373 0.0 3.4156754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20982.0 0.0 1296.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 23308.0 1296.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4480.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8136.0 128.0 576.0 376.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.14992148 0.0053007724 0.0037111817 0.0035317116 0.0044803387 0.0030189406 0.0028971573 0.0025125789 0.005858411 0.002762555 0.0028202417 0.0027305067 0.003845784 0.0030509888 0.002615133 0.0036534949 0.004198314 0.0023972054 0.0023459282 0.003672724 0.0027689645 0.0029868924 0.002192097 0.002384386 0.0030509888 0.0026087235 0.0021472294 0.0026407717 0.0023587476 0.0038201455 0.0021472294 0.0036406757 0.005377688 0.0023651572 0.0024164342 0.0024356632 0.0043200976 0.002422844 0.0023587476 0.0020254462 0.0025382175 0.0025125789 0.0021985066 0.002615133 0.004236772 0.0023715668 0.0069544595 0.0024805306 0.0025830849 0.0024869405 0.0025318079 0.0031663622 0.002621543 0.007057014 0.005230266 0.0041598566 0.0028651091 0.002833061 0.0022177354 0.003454796 0.0023779764 0.0023715668 0.002153639 0.0027561453 0.0072813514 0.0027369163 0.0025253983 0.0028010127 0.003313784 0.004179085 0.0028266513 0.005364869 0.0026279525 0.0025253983 0.0022754222 0.0024613019 0.0027689645 0.0033009646 0.0021408198 0.0022177354 0.0038201455 0.0027881935 0.002653591 0.003294555 0.0028074223 0.0029868924 0.0034227478 0.004614941 0.003506073 0.0033586514 0.006749351 0.002903567 0.0035509407 0.0028074223 0.003083037 0.0032625068 0.0028074223 0.00747364 0.0023459282 0.0031471334 0.0029163864 0.004845688 0.0025830849 0.0025318079 0.0031920008 0.003313784 0.0035829889 0.002172868 0.0034804347 0.011313015 0.003506073 0.0045572543 0.003615037 0.0032881454 0.0036214467 0.007345448 0.0060250615 0.0056084353 0.0042495914 0.0025894947 0.0028266513 0.0025510367 0.002192097 0.002192097 0.0032304586 0.0027817837 0.002621543 0.0022882414 0.003365061 0.002922796 0.0024677115 0.0055827964 0.0034740248 0.0042495914 0.0024164342 0.002384386 0.0032432778 0.008742749 0.00320482 0.008838894 0.0038329647 0.004967471 0.0025382175 0.0026984585 0.0031279044 0.00231388 0.0049418327 0.0021664584 0.0023651572 0.0025189884 0.0020703138 0.0021087716 0.0026600007 0.0024548923 0.002172868 0.002172868 0.0024100246 0.0022497836 0.0036342659 0.0021215908 0.0025189884 0.003063808 0.0025318079 0.0067749894 0.0026664103 0.003685543 0.0022882414 0.002403615 0.0071467487 0.0031086754 0.0029997115 0.0022882414 0.0023972054 0.0024292537 0.0026792295 0.0024292537 0.0034099286 0.0023395186 0.0025382175 0.0019741692 0.0024997597 0.0024997597 0.0025766753 0.0020382656 0.011268147 0.0027946031 0.003615037 0.0021408198 0.0024100246 0.00231388 0.0023972054 0.0025959043 0.004294459 0.0034932538 0.0027561453 0.0038009165 0.0030253502 0.0022497836 0.0025061693 0.0029099765 0.0072749415 0.01122328 0.004339326 0.0035893985 0.0033201936 0.0023010608 0.002403615 0.0021856872 0.002833061 0.0044547 0.0027176875 0.006742941 0.0024292537 0.0024164342 0.0025125789 0.0024420728 0.0030189406 0.0026792295 0.0023010608 0.002544627 0.0024869405 0.0022049162 0.0022497836 0.0021087716 0.007826171 0.0027561453 0.007249303 0.0023907959 0.0023395186 0.0023459282 0.0025702657 0.0023010608 0.004313688 0.0026664103 0.0025061693 0.0035509407 0.007178797 0.002762555 0.0032368682 0.0023010608 0.0029292055 0.002743326 0.0021600488 0.0029548442 0.0026600007 0.002333109 0.002775374 0.0026471813 0.0035829889 0.0024613019 0.002621543 0.0026023139 0.0033586514 0.0028202417 0.0027881935 0.008883761 0.07925355 5.497206e-05 1.2934603e-05 3.2336507e-06 2.2635555e-05 1.6168253e-05 6.4673013e-06 6.4673013e-06 3.2336506e-05 6.4673013e-06 9.700952e-06 3.2336507e-06 3.2336507e-06 3.2336507e-06 3.2336507e-06 3.2336506e-05 0.0061956747 0.00012934602 0.000106710475 0.0 4.203746e-05 1.9401905e-05 0.0 0.0 9.054222e-05 0.0 0.0 0.0 0.0 0.0 0.0 3.880381e-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 0.00594345 7.760762e-05 6.1439365e-05 9.700952e-06 6.1439365e-05 7.4373966e-05 0.00015844888 8.0841266e-05 9.700952e-06 6.4673013e-06 0.0 8.407492e-05 9.700952e-06 9.700952e-06 2.5869205e-05 9.700952e-06 0.0054292995 3.2336507e-06 3.2336507e-06 3.2336507e-06 0.00016814984 0.00010347682 0.0005626552 0.0003071968 0.0 1.2934603e-05 6.4673013e-06 9.700952e-06 6.4673013e-06 3.2336507e-06 3.2336507e-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 0.0048666443 0.00017138348 0.00030396317 1.9401905e-05 0.00016168253 5.820571e-05 0.0004268419 0.00021342095 0.00012611237 3.2336506e-05 5.497206e-05 1.6168253e-05 5.173841e-05 3.5570156e-05 1.6168253e-05 6.7906665e-05 0.012611237 0.00013581333 0.00091835676 0.00032336506 0.00044301015 0.0004656457 0.0024090698 0.0013387314 0.00034276696 2.5869205e-05 7.760762e-05 6.467301e-05 0.0002489911 5.173841e-05 0.00014874793 0.0002619257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01117873 0.0003071968 0.00057235616 0.00017785079 0.0008860203 0.0008569174 0.0016362272 0.0012708247 0.00095392694 0.00037510347 0.0002813276 0.0002101873 0.00035246793 0.000119645076 0.0002231219 0.0004656457 0.004194045 9.377587e-05 0.0011414787 0.0003071968 0.00074373966 0.0003945054 0.0036701935 0.0021018728 7.760762e-05 6.7906665e-05 8.0841266e-05 5.820571e-05 7.4373966e-05 7.114031e-05 3.880381e-05 0.00012934602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016827919 0.0022991255 0.0020404335 0.0019304894 0.006321787 0.003987091 0.0013451987 0.0038383433 0.010606375 0.0006176273 0.0010315345 0.0013872362 0.0040032594 0.0012611238 0.002803575 0.005924048 0.018493248 0.0036216888 0.0033985667 0.00390625 0.006211843 0.0062086093 0.004323391 0.0061407024 0.011152861 0.0011641142 0.0028456126 0.0026968645 0.0073015834 0.0020727701 0.0056265523 0.0075505744 0.036478814 0.03868093 0.041128803 0.04428808 0.03658876 0.0435023 0.04908035 0.04181434 0.041836973 0.039418202 0.04702698 0.044711687 0.049542762 0.042613048 0.049277604 0.03612958 581.0 9.115318 5296.0 0.0538142 0.0039652567 0.00755287 0.003021148 0.0056646527 0.007364048 0.0035876133 0.0028323263 0.0050981874 0.0056646527 0.0039652567 0.0041540787 0.006042296 0.0064199395 0.012462236 0.0032099697 0.0071752267 0.0049093654 0.006986405 0.0064199395 0.0035876133 0.0049093654 0.008119335 0.0039652567 0.006231118 0.0056646527 0.0054758308 0.0039652567 0.0049093654 0.0054758308 0.0035876133 0.0054758308 0.0035876133 0.012462236 0.0071752267 0.009252266 0.0050981874 0.0079305135 0.010007553 0.0109516615 0.0079305135 0.006231118 0.0024546827 0.0071752267 0.009063444 0.008308157 0.0041540787 0.004531722 0.008119335 0.0054758308 0.012839879 0.013406345 0.009063444 0.0041540787 0.007741692 0.013028701 0.0066087614 0.006231118 0.008874622 0.0054758308 0.0049093654 0.0035876133 0.0049093654 0.0079305135 0.0049093654 0.035120845 0.0071752267 0.013217523 0.0173716 0.06627644 0.010385197 0.013028701 0.015672205 0.03115559 0.0056646527 0.0049093654 0.032099698 0.01510574 0.038519636 0.0347432 0.01189577 0.004531722 0.032099698 0.02586858 0.03984139 0.022092145 0.010574019 0.0064199395 0.009818731 0.007741692 0.0033987917 0.0033987917 0.0041540787 0.0039652567 0.0041540787 0.0043429 6.0566254 0.0 0.0 0.0 5.0 156015.0 163840.0 0.0 0.0 54.0 0.0 0.0 0.0 0.0 0.0 1105125900.0 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 24576.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 5.3345523 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3427715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.509176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131847.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 224.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.11417739 0.03460478 0.004193474 0.0037454043 0.02030101 0.0027688418 0.0024011948 0.001964614 0.015464154 0.0009420956 0.0013671875 0.001194853 0.011971507 0.002757353 0.0021599266 0.0069508273 0.039924175 0.004561121 0.00882353 0.0010340074 0.0052734376 0.009087776 0.0007582721 0.0006778493 0.006284467 0.00078125 0.0013097427 0.0014705883 0.0034007353 0.0010684743 0.00085018383 0.000792739 0.01171875 0.00091911765 0.0008616728 0.0006778493 0.02278263 0.00435432 0.0008272059 0.0014246324 0.0021484375 0.00078125 0.0009420956 0.0007008272 0.0012982537 0.00087316177 0.001171875 0.00057444855 0.0040670955 0.002745864 0.0024931065 0.0076861214 0.003159467 0.0032513787 0.0028722426 0.0021139707 0.0030101102 0.0032284008 0.0033432904 0.0057559744 0.003848805 0.0028607536 0.0021139707 0.001918658 0.0031479779 0.0025390624 0.0018612132 0.0016199448 0.008214614 0.0032284008 0.004285386 0.0018841912 0.0049402574 0.0017807904 0.00073529413 0.00095358456 0.0060546873 0.0011259192 0.0022977942 0.0014131434 0.012408088 0.0072035845 0.0044921874 0.004285386 0.0048828125 0.0060546873 0.008226103 0.005112592 0.0010914522 0.0017807904 0.00037913604 0.0029526656 0.001941636 0.0025505514 0.0060087317 0.007502298 0.0010684743 0.005032169 0.0019301471 0.0034352022 0.0045726104 0.01070772 0.0016888786 0.00201057 0.0060202205 0.0051700366 0.0034466912 0.00085018383 0.004733456 0.0024586397 0.006284467 0.00535386 0.004250919 0.00057444855 0.005836397 0.0061006434 0.020611214 0.012994026 0.0012063419 0.0012178309 0.0029641544 0.0042279414 0.00053998164 0.000390625 0.003056066 0.0006433824 0.0014016544 0.0005859375 0.002320772 0.00091911765 0.00042509192 0.024758732 0.0040096506 0.0154411765 0.00037913604 0.00034466913 0.0017807904 0.008340993 0.0017003677 0.047277115 0.00076976104 0.004388787 0.00028722428 0.00026424634 0.0012637868 0.00021829044 0.00036764707 0.00025275737 0.0009765625 0.00018382353 0.00026424634 0.00026424634 0.00050551473 0.00014935662 0.00018382353 0.00034466913 0.0007582721 0.00018382353 0.0001953125 0.00037913604 0.0013442095 0.002722886 0.00018382353 0.0010340074 0.000792739 0.00020680147 0.0002757353 0.00033318016 0.0010684743 0.00026424634 0.00024126838 0.00010340074 0.0005859375 0.00021829044 0.000390625 0.00048253677 0.0014016544 0.00025275737 0.00031020222 0.00025275737 0.0007467831 0.0001953125 0.0008272059 0.00044806986 0.0021599266 0.00036764707 0.00037913604 0.00037913604 0.00040211398 0.0001953125 0.0009076287 0.00065487134 0.014039522 0.0013442095 0.00078125 0.011190257 0.016061582 0.0012752757 0.0015395221 0.003056066 0.0024126838 0.0016314338 0.0005859375 0.000390625 0.03794807 0.00041360295 0.00031020222 0.0005170037 0.0027918199 0.0014246324 0.0026194854 0.0006318934 0.0007008272 0.00043658089 0.0006778493 0.00057444855 0.002745864 0.0004710478 0.00033318016 0.0011259192 0.00076976104 0.00057444855 0.0003216912 0.00034466913 0.0012982537 0.0006663603 0.00049402576 0.00018382353 0.0009076287 0.0001608456 0.0002757353 0.00022977941 0.00580193 0.0022518383 0.00045955883 0.0037224265 0.0013901654 0.0013212316 0.00020680147 0.00024126838 0.0025275736 0.00033318016 0.00036764707 0.00044806986 0.0007008272 0.0003561581 0.0036764706 0.0014246324 0.0025160846 0.00072380516 0.00073529413 0.0005170037 0.0009880515 0.00076976104 0.0016544118 0.038671874 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009033203 0.0004359654 9.8818826e-05 0.00021507626 5.812872e-05 8.719308e-05 0.0009940012 0.00069173175 3.4877234e-05 4.6502977e-05 6.975447e-05 3.4877234e-05 2.3251489e-05 2.3251489e-05 3.4877234e-05 2.3251489e-05 0.007835751 0.0003080822 0.0006684803 0.0001046317 5.812872e-05 5.231585e-05 0.0017031715 0.0010056269 3.4877234e-05 1.7438617e-05 4.6502977e-05 1.1625744e-05 1.1625744e-05 1.1625744e-05 1.7438617e-05 1.7438617e-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 0.008515857 0.0003313337 0.0056559243 0.00030226936 0.00044759116 0.0007382347 0.012451172 0.0071033295 5.812872e-06 1.1625744e-05 2.906436e-05 2.3251489e-05 6.3941596e-05 1.1625744e-05 1.1625744e-05 1.1625744e-05 0.020781018 0.0009358724 0.005795433 0.0010346912 0.0039585656 0.0054175965 0.027332123 0.01651437 0.00015694754 0.000226702 0.00015113468 0.00016857329 0.00019182477 0.00017438616 0.00011625744 0.0003778367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02868071 0.005923317 0.0052490234 0.02586728 0.004132952 0.00437128 0.007719494 0.006027948 0.003458659 0.0018891834 0.001726423 0.0019240606 0.0026274181 0.0019647507 0.0023774647 0.0032028924 0.005684989 0.0014880953 0.0015055338 0.0050106957 0.0011451358 0.0011916388 0.0024879093 0.0017845517 0.00040690103 0.00037202382 0.00046502976 0.0004359654 0.0002906436 0.00040690103 0.0004940941 0.0006394159 0.12766811 0.07046945 0.029075986 0.01843843 0.03292992 0.060262043 0.011137463 0.030802408 0.09995233 0.0033307758 0.006812686 0.0061093285 0.08446103 0.012683687 0.014212472 0.046415783 0.013892764 0.0070045106 0.0043247766 0.0024879093 0.0035284134 0.005539667 0.0014009022 0.003226144 0.010596866 0.00048828125 0.0009940012 0.0011567615 0.006812686 0.001273019 0.0024355934 0.006266276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 734.0 16.474115 12092.0 0.062024478 0.0020674826 0.002150182 0.0009096924 0.012074099 0.012404895 0.00074429373 0.0071121403 0.0039695664 0.002977175 0.0035560702 0.0014058882 0.0025636784 0.002480979 0.0052927556 0.0014058882 0.009096923 0.0088488255 0.0071948394 0.008766127 0.008766127 0.0071948394 0.007277539 0.005127357 0.0060370495 0.0052100564 0.0096758185 0.009014225 0.00835263 0.0069467416 0.0063678464 0.004134965 0.001902084 0.0061197486 0.0020674826 0.00595435 0.007608336 0.0062851473 0.0038868673 0.0030598743 0.0023155806 0.0062024477 0.00074429373 0.001075091 0.0071948394 0.0023155806 0.0034733708 0.004631161 0.022825008 0.002977175 0.0052927556 0.00826993 0.0071121403 0.00595435 0.0042176647 0.003225273 0.002480979 0.00074429373 0.0002480979 0.0014885875 0.002977175 0.0013231889 0.0015712868 0.0237347 0.0014058882 0.035229903 0.012239497 0.024065498 0.025967581 0.07442938 0.008683427 0.012404895 0.011826001 0.0357261 0.004631161 0.0044657625 0.021915317 0.015630169 0.042672843 0.037380084 0.021088323 0.001902084 0.040191863 0.041184254 0.057806816 0.019517036 0.0061197486 0.0054581542 0.007525637 0.022411512 0.0026463778 0.00033079722 0.002480979 0.000826993 0.00074429373 0.00066159444 5.7061195 1.0 0.0 0.0 2.0 87040.0 102400.0 1.0 1.0 183.0 1.0 1.0 0.0 0.0 0.0 1517555800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 63488.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63488.0 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 -6.7147236 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.698058 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2824187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.30254 0.0 4.8877287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5178.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6363.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63252.0 0.0 436.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -2.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 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 2.0 -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 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 75.0 75920.0 80.0 71372.0 436.0 90112.0 0.0 0.0 0.0 0.0 5144.0 94208.0 28.0 70400.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 71056.0 0.0 0.0 744.0 69632.0 0.0 0.0 0.0 0.0


Input: 0.227895 0.008390527 0.0050197137 0.0058259103 0.006209234 0.0030513776 0.002655885 0.0024216317 0.006975881 0.0019014068 0.0026041667 0.0025037725 0.0047976295 0.002741068 0.0018131814 0.0074808947 0.0048706434 0.0014420268 0.0012655763 0.0013051255 0.0039032078 0.002610251 0.0015576323 0.0013112101 0.00259504 0.0012838298 0.00094918226 0.0011803933 0.0019074912 0.0012290693 0.0011256328 0.0014967874 0.012181172 0.0015910972 0.0015424212 0.0018588152 0.0032126168 0.001807097 0.0012594918 0.0011286751 0.0025524483 0.0021326179 0.0012199426 0.004545123 0.0023972937 0.0023273218 0.0021934628 0.0011743088 0.0027471525 0.0020200545 0.0023273218 0.0050531784 0.0018527308 0.0022664769 0.0012838298 0.001079999 0.0021295755 0.0029418564 0.0020991531 0.003894081 0.0018101392 0.0020930686 0.0013416326 0.0012290693 0.003066589 0.0031243917 0.0024885612 0.0027258566 0.0074778525 0.015777113 0.0034042785 0.0029509834 0.0027349833 0.0022756036 0.0011378018 0.0013355481 0.002826251 0.0059658536 0.0023455753 0.0019227025 0.0053330655 0.0018010124 0.0021265333 0.006227487 0.0028475467 0.005546023 0.00412225 0.004304785 0.001782759 0.003991433 0.0010039428 0.0016458577 0.003066589 0.002923603 0.0020930686 0.0043382496 0.0015211254 0.0064769518 0.002156956 0.0054669245 0.00475808 0.0123119885 0.005120108 0.0034042785 0.006321797 0.0073957117 0.0056494595 0.0021691248 0.005835037 0.003130476 0.0080285 0.008463542 0.0043382496 0.0010952103 0.008323598 0.008259711 0.014545001 0.011171144 0.0023577444 0.0025737442 0.0021174066 0.0024550965 0.0014116043 0.0008822527 0.0017188716 0.002911434 0.001624562 0.0017279985 0.0028323354 0.0022360543 0.00094614 0.013252044 0.0026650117 0.009105457 0.0010100272 0.0009735203 0.0035776868 0.00900202 0.002086984 0.01776066 0.0015393789 0.007277064 0.0010130695 0.0011590975 0.0015272099 0.0007179712 0.000873126 0.0008335767 0.001238196 0.002887096 0.0007453514 0.0008883372 0.0015150409 0.0010009005 0.00086399924 0.00079402747 0.0013477171 0.0011773511 0.0008761682 0.00094918226 0.0013294636 0.0014602804 0.00086704147 0.0012351538 0.0013142524 0.0015424212 0.0010860835 0.00085487246 0.0015363366 0.000897464 0.0010161118 0.0011712665 0.0011986468 0.00082444993 0.0008761682 0.001055661 0.0019074912 0.00093092874 0.00086704147 0.0008153232 0.0013507593 0.0014663648 0.002452054 0.0023547022 0.0018040547 0.0010891258 0.0009157175 0.0013051255 0.0012229849 0.0014937451 0.0017188716 0.0014146466 0.0057042204 0.0031943633 0.002062646 0.00414963 0.0042043906 0.000970478 0.0026771806 0.0042165597 0.0023972937 0.0021660826 0.0017371252 0.00094918226 0.008776894 0.0010282807 0.0011134638 0.0013538016 0.0024064204 0.0016184774 0.0013264214 0.0011956046 0.0017523364 0.0007666472 0.0011590975 0.0010647877 0.0022847303 0.0009765625 0.00094005547 0.0013903086 0.0015059141 0.000982647 0.00084574573 0.00093701325 0.0030422509 0.0011864778 0.001116506 0.0010130695 0.0025767863 0.0012108159 0.0012351538 0.0010830413 0.010669174 0.00283842 0.001116506 0.0042013484 0.0033981942 0.0008883372 0.0010830413 0.0011256328 0.00320349 0.0010769567 0.00106783 0.0013568439 0.0020778573 0.000909633 0.0021934628 0.0022025895 0.0045542493 0.0016580267 0.0014207311 0.002156956 0.0036689544 0.0027349833 0.0047307 0.051249757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054107667 1.373291e-05 7.019043e-05 3.0517578e-05 2.5939942e-05 1.9836425e-05 7.6293945e-05 6.866455e-05 3.6621095e-05 3.0517578e-05 2.746582e-05 2.4414063e-05 2.2888184e-05 2.746582e-05 0.00023651123 0.00012817382 0.007931518 0.000151062 0.00012817382 8.6975095e-05 0.00015563965 9.918213e-05 9.460449e-05 7.476807e-05 0.00010986328 3.8146973e-05 7.019043e-05 0.00011444092 0.00010375977 7.324219e-05 7.324219e-05 7.019043e-05 0.0076522827 0.00015563965 0.00014801025 0.000102233884 0.00016326904 0.000102233884 0.00014648438 0.00012664795 0.00013122559 5.645752e-05 0.000102233884 8.392334e-05 9.307861e-05 7.781982e-05 4.272461e-05 0.00019073486 0.0045394897 0.00040893554 7.324219e-05 8.0871585e-05 0.00015258789 0.000115966795 0.00037078856 0.00022888184 5.493164e-05 2.2888184e-05 3.2043456e-05 6.1035156e-05 4.7302245e-05 3.8146973e-05 6.1035157e-06 1.6784668e-05 0.010968017 0.00051574706 0.0024291992 0.00075531006 0.0020721436 0.001701355 0.010247802 0.004434204 0.0003921509 0.0002243042 0.00011138916 0.00011138916 0.002194214 0.00017089843 0.00043792726 0.00073394773 0.038137816 0.00019378662 0.009004211 0.0037963868 0.0030441284 0.0035354614 0.02612915 0.014573669 0.00020751954 6.408691e-05 8.544922e-05 7.476807e-05 5.493164e-05 0.00011444092 0.00010375977 0.00088043214 0.019573975 0.00021362305 0.0031967163 0.0017791748 0.0050384523 0.004194641 0.014993286 0.0076324465 0.00032806396 0.00012664795 0.00011291504 0.00015411378 0.00018768311 0.00019073486 0.00046691895 0.0011856079 0.01242218 0.00046844484 0.00186615 0.0009552002 0.0024597168 0.0020706176 0.004421997 0.0028274537 0.0004470825 0.00040740968 0.0004272461 0.00036773682 0.0005142212 0.00056304934 0.000390625 0.00064086914 0.046502687 0.0027755736 0.0032836914 0.0029754639 0.003929138 0.0033737184 0.004797363 0.0040512085 0.0035064698 0.0028045655 0.0025161742 0.002607727 0.0039016723 0.002484131 0.003086853 0.0042785644 0.017790223 0.0013000488 0.0024520874 0.002633667 0.0031295777 0.0023132325 0.0037063598 0.0031341552 0.0048080445 0.0015548706 0.0010055542 0.0016403198 0.0030822754 0.0011779785 0.0020492554 0.007597351 0.04054718 0.0057373047 0.0061813355 0.005584717 0.012561035 0.009007263 0.005180359 0.00708313 0.022807311 0.0037857057 0.0030395507 0.0053512575 0.010653687 0.004023743 0.00788269 0.02557373 0.06691742 0.014176941 0.010066223 0.013337707 0.025044251 0.02288971 0.013694763 0.01939087 0.039971925 0.005392456 0.0066711428 0.008847046 0.022175599 0.008456421 0.018931579 0.04153595 0.012780761 0.0039993287 0.0042037964 0.004060364 0.0039123534 0.0038650513 0.004257202 0.0038848878 0.003866577 0.0037750243 0.0041122437 0.0037155151 0.003805542 0.003779602 0.0041687014 0.0036880493 1968.0 18.544207 36495.0 0.061213866 0.0007946294 0.00093163445 0.0007946294 0.0010138375 0.0049047815 0.0006302233 0.0015892588 0.0024660912 0.002301685 0.0013152487 0.0010412385 0.007370873 0.0104671875 0.009261543 0.0015892588 0.0043841624 0.0070968624 0.008247705 0.002000274 0.0010686396 0.0027949035 0.0010138375 0.00087683246 0.0016714619 0.0011508425 0.007727086 0.00043841623 0.0014522538 0.0026304973 0.0018906699 0.0004110152 0.00076722837 0.0101931775 0.0035347308 0.010850801 0.0076996847 0.010028771 0.0049321824 0.007644883 0.009151938 0.007754487 0.0006302233 0.0024386903 0.006083025 0.006247431 0.0070694615 0.0063022333 0.00893273 0.0014796547 0.008138102 0.027264008 0.00917934 0.0048773806 0.0043841624 0.006631045 0.002301685 0.0015070557 0.00046581723 0.00087683246 0.003836142 0.0009590355 0.0005480203 0.011508426 0.00087683246 0.040745307 0.008768325 0.028524455 0.022770243 0.078147694 0.012823675 0.01676942 0.017728455 0.045513082 0.0033155226 0.0069872583 0.033593643 0.014632141 0.05030826 0.055870667 0.018550487 0.0012056446 0.04460885 0.04348541 0.053870395 0.018605288 0.005891218 0.008165502 0.0065214415 0.0110152075 0.0012604466 0.00027401015 0.00046581723 0.00027401015 0.0010138375 0.00065762433 5.4938545 0.0 0.0 0.0 5.0 328704.0 385024.0 0.0 0.0 266.0 0.0 1.0 0.0 0.0 0.0 1542995100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 115.0 0.0 5.0 0.0 5.0 0.0 134656.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 185856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134656.0 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 0.0 0.0 0.0 6.134799 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4331691 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.546162 0.0 4.233866 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 185426.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134244.0 0.0 1224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 318716.0 1224.0 380928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 317040.0 0.0 0.0 1088.0 139264.0 0.0 0.0 0.0 0.0


Input: 0.24541341 0.0060615437 0.005597435 0.003183717 0.004215656 0.002716092 0.004187528 0.0032786482 0.0030676895 0.0026668683 0.0044565005 0.0026246766 0.0022590149 0.0020339924 0.0023592203 0.0026299504 0.0019355451 0.003595086 0.0027811376 0.0029481463 0.0021588097 0.0019812528 0.0024506357 0.002246709 0.0023047226 0.0022748369 0.0020339924 0.0023223024 0.0022976906 0.0024383299 0.0023310925 0.0027407038 0.007773824 0.001958399 0.0020093806 0.0021711155 0.0020638783 0.0034069812 0.0025895168 0.0025139232 0.004059195 0.002251983 0.0024945855 0.0037445151 0.0027108178 0.0023433983 0.0025297452 0.0023469145 0.0027582836 0.002675658 0.0021869375 0.0025789689 0.002107828 0.0021658416 0.0021834215 0.00242075 0.004038099 0.0024717315 0.002397896 0.0025156813 0.0025930328 0.002531503 0.0023521883 0.0024594257 0.0017544723 0.0020375084 0.0021711155 0.002390864 0.0021781474 0.0026615942 0.0025068913 0.0024453618 0.0018968694 0.0024365718 0.0025174392 0.0022326452 0.002424266 0.0023627363 0.0025033753 0.0024928274 0.0021324398 0.002227371 0.002271321 0.0025104072 0.0021306819 0.0018722576 0.0022150653 0.0020111387 0.002552599 0.0023855902 0.003911524 0.0023855902 0.0021640835 0.0021394717 0.0026088546 0.0023592203 0.001979495 0.0055482113 0.002990338 0.0029551783 0.0025033753 0.0040293094 0.002408444 0.002702028 0.0022220972 0.0031151553 0.0020638783 0.002251983 0.0030676895 0.0028901328 0.0031380092 0.003925588 0.0023592203 0.002387348 0.0032346984 0.0035212506 0.0038587842 0.0025877587 0.0026440143 0.0024488778 0.0023644944 0.0028250872 0.002127166 0.0027811376 0.002401412 0.0026229185 0.00242075 0.002556115 0.01779963 0.010857335 0.0017685363 0.0022062752 0.0021746315 0.0022062752 0.002104312 0.0023135126 0.0021500196 0.0024699736 0.0023328504 0.003760337 0.0038324145 0.0038201085 0.003909766 0.004050405 0.0018915954 0.0024523938 0.0024576676 0.002550841 0.0025332612 0.0021834215 0.002535019 0.0024260238 0.0026088546 0.0025244711 0.0024998593 0.0026580782 0.0025666628 0.0025877587 0.0025191973 0.0024981014 0.0017632623 0.0023961382 0.0023644944 0.002564905 0.0023820742 0.0022080333 0.002397896 0.002427782 0.0020884902 0.0023258184 0.0050489423 0.005407572 0.0055411793 0.005256385 0.006167023 0.003951958 0.0024893114 0.0028039913 0.0024857954 0.0026528044 0.0026246766 0.0024523938 0.0026018226 0.002689722 0.0026352245 0.0027811376 0.002550841 0.0027916855 0.002679174 0.002408444 0.0025033753 0.0027459778 0.0021693576 0.0023486724 0.0024559097 0.0025068913 0.002842667 0.0026475303 0.0026528044 0.0026686261 0.0023047226 0.0026510463 0.002127166 0.002404928 0.0025983066 0.0024664577 0.0024348139 0.002408444 0.0019882848 0.0023697682 0.0024682155 0.0023926222 0.0020410244 0.0019847688 0.0021746315 0.0021728736 0.0024770056 0.0023644944 0.002271321 0.0024682155 0.002250225 0.0021183759 0.002104312 0.0023539464 0.001951367 0.002093764 0.026804047 0.0025104072 0.0022361611 0.002120134 0.0023170286 0.0022976906 0.0019408191 0.0022133072 0.0019214812 0.0021570516 0.0024717315 0.002253741 0.0022818688 0.002253741 0.001961915 0.0024840375 0.0021412298 0.0023820742 0.0021781474 0.0020462985 0.0023381244 0.0022871427 0.0023504305 0.0023223024 0.0021711155 0.0023785583 0.0024418458 0.0024365718 0.0031063652 0.03720255 0.04861219 4.4068706e-06 3.5254964e-06 3.3492215e-05 9.695115e-06 2.6441223e-06 3.5254964e-06 1.7627482e-06 4.4068706e-06 1.7627483e-05 5.2882447e-06 3.5254964e-06 8.813741e-07 0.0 8.813741e-07 3.2610842e-05 0.013630451 7.756092e-05 1.7627483e-05 5.4645196e-05 1.939023e-05 9.695115e-06 1.0576489e-05 9.695115e-06 7.932367e-06 7.0509927e-06 9.695115e-06 1.7627483e-05 9.695115e-06 9.695115e-06 1.5864734e-05 0.0005332313 0.04508493 0.00018949543 0.00014454535 9.695115e-05 0.0001260365 6.257756e-05 7.8442295e-05 5.2882446e-05 5.7289315e-05 6.610306e-05 6.1696184e-05 6.081481e-05 8.284917e-05 8.373054e-05 0.000104002145 0.004189171 0.053274658 0.00023532688 0.00022298764 0.0001330875 0.00019654642 0.000112815884 0.00024237788 0.00022034353 0.00018068169 0.00016305421 0.000110171764 8.990016e-05 0.000112815884 0.00017451207 0.00014718948 0.007560427 0.004212087 4.4068704e-05 2.0271604e-05 2.8203971e-05 1.8508856e-05 9.695115e-06 1.1457863e-05 2.37971e-05 8.373054e-05 6.434031e-05 2.5559848e-05 5.376382e-05 7.315405e-05 6.1696187e-06 2.2034352e-05 0.0007183199 0.0052600405 4.935695e-05 3.7899084e-05 3.701771e-05 6.874718e-05 0.000106646265 1.49833595e-05 8.990016e-05 0.00015247772 7.050993e-05 8.637466e-05 0.00011546 0.00011546 1.939023e-05 5.6407942e-05 0.0009395448 0.002382354 2.5559848e-05 4.4068706e-06 2.37971e-05 2.1152979e-05 6.257756e-05 8.901878e-05 0.000100476645 0.013270849 2.37971e-05 0.0070791966 8.7256034e-05 9.51884e-05 1.7627482e-06 0.010135802 0.00089283194 0.0056434385 0.00030759955 0.00016217283 9.0781534e-05 0.00068659044 0.00059404614 0.0035395983 0.0018923102 0.012266965 0.00013837573 0.006415522 5.376382e-05 7.403542e-05 5.376382e-05 0.009171579 0.00042570368 0.0035554632 0.00012956199 0.00016217283 9.7832526e-05 0.00029790445 0.00024325924 0.0014807085 0.00076767686 0.0058294083 0.00063458935 0.0034109177 0.00014190123 5.376382e-05 1.2339237e-05 0.004285241 0.0005579098 0.00931348 0.0002485475 0.00039044872 0.00022651315 0.00032170155 0.0003067182 0.0011695834 0.0007544562 0.0014066731 0.0014269446 0.0015794224 0.0012445003 0.0006301825 0.00011634138 0.0005790628 0.001946074 0.015802156 0.0013282307 0.0013255867 0.00089723885 0.0013626043 0.0011360912 0.0016446441 0.0014992174 0.0014049103 0.0008373054 0.001823563 0.0028803307 0.0016164401 0.0004177713 0.00038251636 0.0035475309 0.024783358 0.0017063402 0.0032284732 0.0027604636 0.0021796382 0.0024184906 0.002544527 0.0023576757 0.002134688 0.0016190843 0.0029085346 0.003150031 0.002370015 0.0016622716 0.0011933806 0.007964978 0.034774616 0.0044861943 0.009850237 0.003948556 0.0023647267 0.0038216382 0.004453583 0.0031094877 0.0020042446 0.0021928588 0.002089738 0.0026167997 0.0024634406 0.0025145602 0.0019936683 0.009373413 0.003920352 0.0008373054 0.0015758969 0.00066896295 0.00033844766 0.0005958089 0.0011907364 0.0006319452 0.00024325924 0.00028292107 0.00023268277 0.00024942888 0.0002758701 0.0002899721 0.00025559848 0.0010461911 0.0004918068 0.00015424046 0.00011722276 9.606978e-05 7.13913e-05 7.050993e-05 8.373054e-05 6.434031e-05 7.13913e-05 5.552657e-05 0.00012427375 0.000119866876 7.579817e-05 7.13913e-05 6.610306e-05 7.13913e-05 0.024871496 0.029087989 0.029676747 0.031285256 0.028993683 0.028389942 0.031137183 0.031543497 0.028811239 0.031996522 0.028463976 0.031116031 0.031739164 0.03065948 0.031567294 0.032609962 2069.0 8.177864 16920.0 0.01968085 0.004550827 0.0063829785 0.005437352 0.0053782505 0.0072695035 0.006501182 0.006205674 0.005496454 0.0047281324 0.004964539 0.0073286053 0.0064420803 0.006146572 0.014184397 0.006855792 0.008806147 0.007683215 0.006205674 0.007210402 0.004964539 0.005496454 0.004964539 0.005851064 0.010638298 0.0047281324 0.0056146574 0.005141844 0.005141844 0.008096927 0.0056146574 0.0059101656 0.0062647755 0.009988179 0.0073286053 0.012411348 0.00927896 0.00786052 0.00679669 0.009219858 0.005141844 0.008274232 0.0055555557 0.004432624 0.0073286053 0.009042554 0.0056146574 0.006855792 0.006501182 0.004787234 0.009042554 0.016607566 0.008333334 0.004964539 0.0075650117 0.006205674 0.005851064 0.0046690307 0.0143026 0.004550827 0.004787234 0.003605201 0.005141844 0.013061466 0.004964539 0.03682033 0.013475177 0.018144209 0.014007092 0.05998818 0.008806147 0.0178487 0.009042554 0.029787235 0.005141844 0.0059101656 0.023640662 0.018971631 0.029137116 0.03185579 0.010460993 0.0062647755 0.032269504 0.028486997 0.048345152 0.016903073 0.008451536 0.0072695035 0.0074468087 0.01359338 0.0069148936 0.004550827 0.0047281324 0.004432624 0.005437352 0.0059101656 6.185297 0.0 0.0 0.0 8.0 568832.0 598016.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541102500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 394240.0 512.0 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 -394240.0 0.0 173568.0 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 -7.6827087 0.0 2.9127228 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 -393988.0 0.0 173192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 402092.0 173192.0 409600.0 0.0 0.0 0.0 0.0 12.0 589824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.10919993 0.004412437 0.008375751 0.0030571884 0.0033723623 0.002734135 0.0027498936 0.0031517406 0.0029862742 0.003206896 0.002442599 0.0027498936 0.0027262557 0.0025056337 0.0026553415 0.0030020329 0.0033723623 0.0028444459 0.0027892904 0.0030335502 0.0031911372 0.0031517406 0.0030099123 0.0031911372 0.0031753785 0.002868084 0.0030177915 0.003206896 0.0027735317 0.0035063114 0.0029862742 0.0035851048 0.004893077 0.0049403533 0.0043100053 0.0035535875 0.0034669146 0.0033566037 0.0033723623 0.0028759632 0.0029862742 0.0028996014 0.0025292719 0.008304836 0.0031674993 0.0039948313 0.0032699308 0.0032541722 0.005042785 0.0052555273 0.0051058196 0.0054840287 0.0060828594 0.004302126 0.0043178843 0.004176056 0.0038687615 0.0038923996 0.0039002788 0.0041996944 0.0042233323 0.00424697 0.0037820886 0.0041445387 0.005357959 0.005807082 0.005113699 0.004688214 0.0058228406 0.004325764 0.0046094204 0.005444632 0.0040027103 0.0044281953 0.0041602976 0.0040263487 0.004262729 0.0040657455 0.004042107 0.0036796571 0.0040184692 0.0030177915 0.0029941534 0.003388121 0.0033723623 0.0028996014 0.003608743 0.008391509 0.0031281025 0.002891722 0.0029232393 0.0031438612 0.008115732 0.00291536 0.0029232393 0.003025671 0.002962636 0.008887908 0.008092094 0.003293569 0.0035141907 0.00947886 0.0032226548 0.00327781 0.0032384135 0.0033487242 0.008178767 0.002962636 0.003719054 0.002576548 0.003025671 0.0037032953 0.0029941534 0.002891722 0.004081504 0.0036875363 0.003545708 0.0031123438 0.0028759632 0.002891722 0.0027498936 0.0026711002 0.0024977543 0.0024819956 0.0025056337 0.008430906 0.0033644831 0.0038451236 0.0028996014 0.0030887057 0.002781411 0.0030571884 0.002757773 0.0032384135 0.0076508503 0.0027656523 0.0029941534 0.0027498936 0.002647462 0.0038214854 0.0023007705 0.0029862742 0.0024347196 0.0026159447 0.0025213924 0.0025292719 0.0026711002 0.0025135132 0.0026317034 0.0026789794 0.002576548 0.0027498936 0.0023874436 0.0026868589 0.0026395826 0.002623824 0.0024032022 0.0025056337 0.0077769198 0.0025292719 0.0077217645 0.002466237 0.0024268401 0.0026159447 0.0025056337 0.0021431835 0.0022456152 0.0021195456 0.002418961 0.0026711002 0.0027262557 0.0075247805 0.002600186 0.0022850118 0.0024268401 0.0030571884 0.0030177915 0.0024741164 0.0027183762 0.0026789794 0.0025450306 0.0026553415 0.0076587293 0.002600186 0.0025844274 0.0025056337 0.0022456152 0.008060576 0.00291536 0.002466237 0.0029705155 0.0025213924 0.00291536 0.0026080653 0.002962636 0.0075405394 0.0026317034 0.002442599 0.0024741164 0.0024583577 0.0026159447 0.0025607892 0.0023874436 0.002576548 0.0028602045 0.0022534945 0.0022771326 0.002576548 0.0028365664 0.0025056337 0.0031990167 0.0025292719 0.0026395826 0.002355926 0.0025135132 0.007178089 0.002623824 0.0028365664 0.0023874436 0.0026789794 0.0028365664 0.008273319 0.0034353973 0.0028444459 0.0030020329 0.0025213924 0.0028759632 0.0024819956 0.0028759632 0.0028129285 0.0026868589 0.002489875 0.0033250863 0.0027656523 0.0039160377 0.0027104968 0.0029941534 0.002781411 0.0025844274 0.0026317034 0.0025844274 0.0078320755 0.002781411 0.002442599 0.002852325 0.0025844274 0.0026632207 0.0028838427 0.0030335502 0.0024347196 0.0024268401 0.0026395826 0.0027026176 0.0024819956 0.0025686685 0.005090061 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-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 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-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 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1806.0 6.39701 11553.0 0.012118065 0.018869558 0.0051068985 0.003289189 0.004760668 0.00432788 0.003721977 0.004414438 0.0036354193 0.0034623041 0.0027698434 0.049770623 0.0036354193 0.0048472257 0.0040682075 0.0038085345 0.016186273 0.016445944 0.017398078 0.01912923 0.017224964 0.009434779 0.01194495 0.009001991 0.008742318 0.008828876 0.011165931 0.009175106 0.009261664 0.010213797 0.010300355 0.011512161 0.011252489 0.017484635 0.010213797 0.014022332 0.017051848 0.010992816 0.01229118 0.021812515 0.010646585 0.012897083 0.00865576 0.011598719 0.010819701 0.011079374 0.012464295 0.0096944515 0.013156756 0.00398165 0.0046741106 0.0069246083 0.0038950923 0.0030295162 0.0053665712 0.050030295 0.005885917 0.004414438 0.0038085345 0.0046741106 0.047433566 0.004760668 0.0046741106 0.005020341 0.00398165 0.008742318 0.0049337833 0.007443954 0.00830953 0.017051848 0.005020341 0.0056262445 0.0060590324 0.01012724 0.047087338 0.0048472257 0.011685276 0.0057993596 0.007876742 0.01047347 0.0045009954 0.004587553 0.012464295 0.0079633 0.01229118 0.005020341 0.0040682075 0.0051068985 0.0038950923 0.0046741106 0.0026832856 0.0023370553 0.0034623041 0.04700078 0.0040682075 0.0075305114 6.1367044 0.0 0.0 0.0 4.0 126914.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 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 0.0 0.0 0.0 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 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0