Input: 0.008228565 0.0039773304 0.003909236 0.0039010341 0.0038986497 0.0038707063 0.0038662239 0.003912097 0.0039003664 0.0038817693 0.0039023692 0.0038753795 0.0038811017 0.0038813876 0.0038860608 0.003925163 0.0039021785 0.0038599293 0.003858308 0.0038614552 0.0038573544 0.0039377515 0.00383437 0.0038565914 0.0038610739 0.0038802433 0.003848485 0.003868608 0.0038780498 0.0038725182 0.003868608 0.003890257 0.0038679405 0.003880434 0.0038316997 0.0038730905 0.003888159 0.0038795758 0.003848771 0.0038757608 0.0038488663 0.003884821 0.0038584035 0.0038601202 0.003875284 0.0038615507 0.0039000805 0.0038116719 0.0038750933 0.0038903526 0.003870134 0.0038953118 0.003873758 0.0038955025 0.0038795758 0.0038710877 0.0038903526 0.003870897 0.0038985545 0.0038874915 0.0038874915 0.0039044674 0.0038954073 0.0038962655 0.003935177 0.0039071376 0.003838185 0.0038868238 0.0038829136 0.003928024 0.00388587 0.0038994127 0.0038472451 0.0038941675 0.0038577358 0.0038748072 0.0038478174 0.003921157 0.0038706108 0.0038989359 0.003917438 0.003877573 0.003884249 0.0038832952 0.003911525 0.0039137183 0.0039144815 0.003914195 0.0038833905 0.003903609 0.0038486756 0.0038824368 0.0038905432 0.0038620275 0.0038537304 0.00388711 0.003842572 0.003934223 0.0038647933 0.003850583 0.0038617414 0.0039248765 0.0038931184 0.0038996988 0.0039018923 0.0038928322 0.0039008432 0.0038774775 0.0039068516 0.0038840582 0.0039165793 0.003907424 0.0038953118 0.0038732812 0.0038935952 0.003917724 0.0039247815 0.003933746 0.0038895896 0.0038766193 0.0038172987 0.0039083776 0.0038735673 0.0038874915 0.0038913062 0.003877859 0.0038522044 0.0038991265 0.0039297407 0.0038628858 0.0038669868 0.0038870147 0.0038704202 0.0039153397 0.003884535 0.0038924508 0.0038555423 0.003931934 0.003882723 0.0039416617 0.0038465776 0.0038662239 0.0038758563 0.0038506784 0.0038684173 0.0038708015 0.0038416183 0.0038445748 0.003906375 0.003873186 0.003843335 0.0038360867 0.0038712784 0.0038864424 0.0038943582 0.0038516321 0.0038844396 0.0039142906 0.0038468635 0.0038592617 0.0038829136 0.0038656516 0.0038681312 0.0038692758 0.0038664145 0.003873949 0.0038533488 0.003878908 0.0038669868 0.0038797664 0.0038708015 0.0038777636 0.003891211 0.003881483 0.0038749978 0.0039149583 0.003878336 0.003849534 0.0038664145 0.0038982683 0.0039054211 0.003882246 0.0038919738 0.003884249 0.0038928322 0.0038700385 0.0038935952 0.0038585942 0.003870897 0.0038643165 0.0038687987 0.003891783 0.0039523435 0.0039156256 0.0038929277 0.0038856794 0.0039296453 0.0038795758 0.00391677 0.003890734 0.0038846303 0.0038916878 0.0038698479 0.003875284 0.003861932 0.003852872 0.0038664145 0.003886633 0.003903037 0.0038588804 0.0038628858 0.003895598 0.0039097127 0.003862123 0.003872423 0.003884821 0.0039002711 0.0038841534 0.0038853933 0.0038749026 0.0038833905 0.0038852026 0.003875284 0.003877096 0.0038978867 0.00391677 0.0038608832 0.003894835 0.003868608 0.0038637442 0.0038781452 0.0038548748 0.0039225877 0.0038959794 0.0038511553 0.0038897803 0.0038840582 0.0038589756 0.003810432 0.0038937859 0.0038964562 0.0038612646 0.0039012248 0.00384982 0.0039145765 0.0038608832 0.0038862517 0.0038591665 0.003914672 0.0038873006 0.0038950257 0.0038746165 0.00390895 0.0039012248 0.0039361306 0.00556811 0.00029035518 0.0 0.0 0.0 0.0 0.0 0.0 1.57387e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0969397e-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 0.00026588864 2.3846515e-06 1.0969397e-06 3.4338982e-06 1.9077213e-07 3.338512e-07 2.8615818e-07 1.1923257e-06 4.769303e-07 5.7231637e-07 1.0492466e-06 1.57387e-06 8.5847455e-07 1.0969397e-06 1.0015536e-06 1.1589406e-05 0.0001642548 2.0984933e-06 5.246233e-07 1.7169491e-06 2.8615818e-07 4.2923728e-07 6.677024e-07 1.1923257e-06 2.3369585e-06 4.769303e-07 4.769303e-07 4.769303e-07 1.1446327e-06 1.1923257e-06 1.2877118e-06 1.6787946e-05 8.4893596e-05 2.8615818e-07 2.3846516e-07 1.6692561e-06 1.2877118e-06 6.677024e-07 8.107815e-07 3.3385122e-06 1.4307909e-07 2.8615818e-07 2.3846516e-07 3.338512e-07 6.200094e-07 7.630885e-07 8.5847455e-07 1.2400188e-06 0.00015452542 1.8123352e-06 1.3830979e-06 7.773964e-06 3.5292842e-06 1.8123352e-06 6.009322e-06 2.6708096e-06 3.14774e-06 1.3354048e-06 1.8123352e-06 4.1492935e-06 7.630885e-07 5.246233e-07 9.061676e-07 3.195433e-06 0.00035221304 5.7231637e-06 5.7708567e-06 2.6469632e-05 5.1031543e-06 7.106262e-06 7.773964e-06 9.586299e-06 6.390866e-06 1.2400188e-06 3.5292842e-06 1.6167938e-05 3.195433e-06 2.7185029e-06 5.3416193e-06 3.0046609e-05 0.0006295957 8.441666e-06 1.0206309e-05 8.293818e-05 1.1160169e-05 1.0254002e-05 1.3640207e-05 1.526177e-05 9.300141e-06 3.14774e-06 6.152401e-06 7.25411e-05 5.5323917e-06 4.483145e-06 5.8662426e-06 8.8232104e-05 0.00028968748 4.0539076e-06 6.29548e-06 3.6628247e-05 6.486252e-06 6.152401e-06 1.1684792e-05 2.3369585e-05 4.2446795e-06 2.1461865e-06 5.5800847e-06 1.52140765e-05 2.9092748e-06 5.1985403e-06 1.5547928e-05 5.317773e-05 0.000704903 9.252448e-06 1.430791e-05 8.0601225e-05 0.000102683094 0.00010149077 0.0001088355 0.000108215485 1.211403e-05 1.8695668e-05 1.1827871e-05 9.03306e-05 8.813672e-05 3.4243596e-05 4.9028436e-05 0.0004188402 0.0005302988 1.07786245e-05 3.4434368e-05 5.7803954e-05 0.00013439896 6.538715e-05 6.686563e-05 8.517975e-05 1.0921704e-05 1.3115584e-05 1.9792607e-05 5.7660873e-05 0.00013606822 6.414713e-05 3.4577446e-05 0.0004367251 0.0005522376 5.3225423e-05 6.3002495e-05 3.8631355e-05 6.643639e-05 4.974383e-05 0.00012118799 9.676916e-05 3.095278e-05 2.3226507e-05 2.0269537e-05 3.9871375e-05 7.716732e-05 0.0001601532 7.082415e-05 0.00048980745 0.00020436464 1.6406402e-05 1.50709975e-05 2.1557249e-05 2.108032e-05 1.9411063e-05 4.8837665e-05 3.1954332e-05 2.0317231e-05 1.7741808e-05 1.1827871e-05 2.0746469e-05 2.9951223e-05 5.8948586e-05 4.7931495e-05 0.00019525527 0.00021452326 3.7200563e-05 2.1318785e-05 3.085739e-05 7.4496515e-05 5.6897785e-05 4.1111394e-05 5.0888462e-05 9.490913e-05 6.390866e-06 9.204755e-06 1.3783286e-05 4.72161e-05 2.236803e-05 4.120678e-05 0.00011670485 0.00041068468 9.0282905e-05 6.076092e-05 8.207971e-05 0.00015104383 0.00013020198 0.00010087076 0.00010659392 0.00018347509 2.4323446e-05 3.929906e-05 3.6532863e-05 7.8788886e-05 3.824981e-05 0.00010163385 0.00022100951 0.06181484 0.061695132 0.061614625 0.061710298 0.061599888 0.061782412 0.061732333 0.06167682 0.061783746 0.061784126 0.061887193 0.061701093 0.06178303 0.061723795 0.061668664 0.061832584 48395.0 5.641802 273035.0 0.010368634 0.010291721 0.010357646 0.010551761 0.01044921 0.010394271 0.010456535 0.010240445 0.010181845 0.010808138 0.010097606 0.0101671945 0.010555423 0.010335672 0.010540773 0.010024356 0.010394271 0.010057319 0.010313696 0.010918014 0.010269745 0.010460197 0.010163533 0.010529785 0.01046386 0.01041991 0.010064644 0.01015987 0.010251433 0.010544436 0.010394271 0.010068307 0.009980406 0.010090281 0.010126906 0.010548098 0.01043456 0.010808138 0.010526123 0.010577398 0.0104821725 0.010247771 0.010412584 0.0104785105 0.01021847 0.010577398 0.010310033 0.00995843 0.010500485 0.009984068 0.010452872 0.010518798 0.010291721 0.010518798 0.010112257 0.010353984 0.010368634 0.010445547 0.010028019 0.01044921 0.010317358 0.010529785 0.0102111455 0.010119582 0.01021847 0.011060853 0.009962093 0.010049993 0.010731225 0.011921548 0.010372297 0.010386947 0.010240445 0.011053528 0.010093944 0.010339334 0.01101324 0.010317358 0.010775175 0.011134104 0.010672624 0.010013368 0.011115791 0.011222005 0.010961965 0.010654312 0.01023312 0.010573736 0.010335672 0.010555423 0.010401597 0.010445547 0.010324684 0.010247771 0.010247771 0.010049993 6.5842967 0.0 0.0 0.0 165.0 10485425.0 1699840.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1270902000.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 133120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0281763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4298774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4933524 0.0 5.979408 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1101824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6386.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -419484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25506.0 0.0 132920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 35352.0 132920.0 1564672.0 0.0 0.0 5888.0 25779352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.18521379 0.026677568 0.008660369 0.012157825 0.009856468 0.0032097867 0.0030432413 0.0032703488 0.00962936 0.0012566618 0.002286216 0.00090843026 0.0052991766 0.0010749758 0.0024527616 0.009689922 0.022801599 0.0009841328 0.0039516715 0.004950945 0.005889656 0.0076156734 0.00390625 0.0011355378 0.0057533914 0.00089328975 0.0014837694 0.0006661822 0.0057533914 0.0010446948 0.0010446948 0.00049963663 0.009054021 0.00043907462 0.0010144138 0.00043907462 0.04896439 0.0071311775 0.0018168605 0.00025738857 0.0044058864 0.0008327277 0.0006359012 0.0036640018 0.0021650922 0.0005601986 0.0010901163 0.00034823158 0.0042242007 0.0019985465 0.0017260174 0.006873789 0.0041939197 0.0012869429 0.0016048934 0.0014080668 0.0023619186 0.0032703488 0.00210453 0.003845688 0.0024981832 0.0021348111 0.0018320009 0.0013020834 0.0029221172 0.0024527616 0.0014989099 0.002043968 0.021151284 0.0026647288 0.003149225 0.0022105135 0.0018168605 0.0029826793 0.0007418847 0.0004693556 0.011249394 0.0016654554 0.0010295543 0.0008175872 0.015428173 0.010265262 0.005859375 0.003966812 0.005829094 0.0025436047 0.007600533 0.003997093 0.0010749758 0.0003330911 0.0005601986 0.0032552083 0.0026344478 0.002346778 0.0049358043 0.0041939197 0.0010446948 0.0021499516 0.00057533913 0.0013626453 0.0024830427 0.0038608285 0.013323643 0.00051477714 0.00510235 0.0021953732 0.007979046 0.00043907462 0.0034066134 0.0006661822 0.0016654554 0.001892563 0.0013475048 0.00030281008 0.0029221172 0.0014080668 0.011749031 0.006434714 0.0007570252 0.0007116037 0.0016200339 0.0003936531 0.0003330911 0.0003633721 0.0073582847 0.0009387112 0.0010598353 0.0008024467 0.002286216 0.0016503149 0.00049963663 0.015291909 0.004754118 0.010901162 0.00510235 0.0010295543 0.001741158 0.013611313 0.0013929263 0.040682536 0.0021650922 0.014867974 0.001741158 0.0003633721 0.00090843026 0.0006510417 0.00015140504 0.00034823158 0.0013929263 0.00025738857 0.0008175872 0.00015140504 0.0010598353 0.0011052567 0.00012112403 0.00016654555 0.00057533913 0.00027252908 0.0008630087 0.00024224806 0.00087814924 0.0009387112 0.00025738857 0.00089328975 0.0010901163 0.00034823158 0.00016654555 0.00016654555 0.00052991766 0.00024224806 0.0003633721 0.0003179506 0.00059047964 9.084302e-05 0.0021802327 0.0008478682 0.0006359012 0.00018168605 0.00010598353 0.00016654555 0.00062076066 0.00010598353 0.00043907462 0.00060562015 0.004087936 0.0025890262 0.00018168605 0.0005601986 0.0006359012 0.0003633721 0.0016805959 0.0028615552 0.012112403 0.003633721 0.0065709786 0.0009992733 0.0051174904 0.00045421513 0.0012415213 0.0051780525 0.0013929263 0.0012415213 0.00049963663 0.00024224806 0.019364705 0.0004087936 0.0004087936 0.00043907462 0.0009992733 0.00210453 0.0006359012 0.002377059 0.0004087936 0.0003785126 0.00048449612 0.0010598353 0.0021953732 0.00030281008 0.0003633721 0.0014080668 0.0004239341 0.00019682656 0.00021196705 0.00018168605 0.0014080668 0.0006661822 0.00054505817 0.00015140504 0.00034823158 0.00025738857 0.00057533913 0.00021196705 0.010764898 0.0023316375 0.0003936531 0.0029221172 0.0016048934 0.00087814924 0.0004087936 0.00025738857 0.0010295543 0.00019682656 0.0021953732 0.00089328975 0.0006359012 0.00028766957 0.001922844 0.0032249272 0.004087936 0.00095385173 0.0011506783 0.0007873062 0.0013929263 0.00057533913 0.0013475048 0.030265868 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010346912 4.6502977e-05 0.0022786458 0.0003952753 0.00035652283 0.0002480159 0.0014260913 0.00064329116 5.4253473e-05 7.7504965e-06 7.7504965e-06 1.5500993e-05 2.3251489e-05 7.7504965e-06 7.7504965e-06 7.7504965e-06 0.008649553 6.200397e-05 0.0013485863 0.00036427332 0.00074404763 0.00046502976 0.00281343 0.0012633308 6.975447e-05 7.7504965e-06 7.7504965e-06 1.5500993e-05 3.1001986e-05 7.7504965e-06 7.7504965e-06 1.5500993e-05 0.013609871 0.0003875248 0.0012555803 0.0004107763 0.0031622024 0.0016973587 0.006688678 0.0034799727 6.200397e-05 6.975447e-05 4.6502977e-05 4.6502977e-05 8.525546e-05 2.3251489e-05 3.875248e-05 0.00068204367 0.02563089 0.0038829986 0.002123636 0.0006045387 0.0024104042 0.002170139 0.0024956597 0.0015500992 0.001844618 0.00028676837 0.00033327134 0.00034102183 0.0014570933 0.00034102183 0.0005967882 0.0015500992 0.0132455975 0.002689422 0.0020228794 0.012354291 0.0021003843 0.0014803448 0.004642547 0.002704923 0.0006665427 0.0007207961 0.00062779017 0.00074404763 0.0009920635 0.0007828001 0.00086030504 0.000984313 0.037241135 0.0058206227 0.0072079613 0.002952939 0.004921565 0.0078125 0.0031854538 0.0036349827 0.015958272 0.000984313 0.0013253348 0.0014958457 0.008665054 0.0010773189 0.0032009548 0.00562686 0.11916388 0.032102555 0.039620537 0.015066965 0.02752201 0.037450396 0.017058842 0.01750062 0.06542969 0.004890563 0.004588294 0.0070141987 0.03434245 0.0048518106 0.013013083 0.020701574 0.05042473 0.024592323 0.028421069 0.006448413 0.018678695 0.024933346 0.010982453 0.008192275 0.036458332 0.001999628 0.0029141866 0.006200397 0.014679439 0.0065724207 0.006215898 0.022127666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 475.0 8.781053 4171.0 0.031167585 0.001438504 0.0026372573 0.0011987532 0.060656916 0.010549029 0.000719252 0.000719252 0.010309278 0.001438504 0.001438504 0.0052745147 0.004315512 0.0016782546 0.0067130183 0.00095900265 0.016303046 0.013426037 0.008870774 0.011987533 0.012227284 0.0067130183 0.009590026 0.006233517 0.010549029 0.012227284 0.005514265 0.009110525 0.009350276 0.010309278 0.011268281 0.0059937667 0.0040757614 0.012946536 0.005034764 0.008631024 0.03979861 0.015344042 0.007672021 0.008631024 0.0038360106 0.008631024 0.0019180053 0.001438504 0.02205706 0.00359626 0.004315512 0.006233517 0.03236634 0.013426037 0.019419804 0.018700551 0.01462479 0.0067130183 0.011987533 0.011747782 0.00359626 0.002157756 0.00023975066 0.002877008 0.0052745147 0.0026372573 0.0019180053 0.006233517 0.0026372573 0.024934068 0.005514265 0.015823543 0.015104292 0.052984897 0.01462479 0.004315512 0.008631024 0.023975067 0.005754016 0.0019180053 0.027811076 0.0067130183 0.017262047 0.023975067 0.007911772 0.0011987532 0.028050827 0.013186286 0.045073126 0.012946536 0.002877008 0.0016782546 0.008631024 0.004315512 0.0011987532 0.001438504 0.0045552626 0.0026372573 0.0016782546 0.0016782546 5.956929 0.0 0.0 0.0 1.0 66048.0 81920.0 0.0 1.0 100.0 1.0 1.0 0.0 0.0 0.0 929640200.0 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 -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 3.0 10.0 4.0 0.0 4.0 0.0 55296.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2560.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55296.0 -3072.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.354659 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9682186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.736655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.28912 -5.2112203 3.0107431 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2434.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54942.0 -2652.0 1712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88.0 61456.0 120.0 69632.0 1712.0 73728.0 0.0 0.0 0.0 0.0 2204.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 420.0 70192.0 0.0 0.0 0.0 0.0


Input: 0.16748439 0.021414444 0.023473587 0.013905426 0.024590459 0.010596051 0.008575909 0.009450041 0.013778116 0.005331982 0.0069755744 0.005151552 0.00903113 0.0057728584 0.0047877785 0.008984733 0.0066799386 0.0035016837 0.0029229634 0.0024504839 0.0060994253 0.0036415448 0.0019950385 0.0020990379 0.004365057 0.0034241325 0.0019313837 0.0017693331 0.0037672855 0.0019302631 0.001604817 0.002312864 0.006447285 0.0020421073 0.0021380375 0.001667351 0.032284837 0.0016187134 0.0015346622 0.0016881957 0.003963405 0.0029027911 0.003042204 0.0014808695 0.0027938609 0.0016059376 0.006542767 0.0029476185 0.0031215483 0.0027562059 0.001667351 0.0016785578 0.0026132069 0.0015530414 0.001908746 0.0015481104 0.0027822058 0.0027687575 0.0014934212 0.002963532 0.002148348 0.0014582317 0.0013123188 0.0014306629 0.004258368 0.00187266 0.0018164017 0.0017908502 0.013983873 0.0017924191 0.0018435223 0.001742885 0.0029236358 0.0017204714 0.0016285754 0.0014147493 0.0074785366 0.0016440408 0.0016964888 0.002804171 0.0029039118 0.0018744532 0.00161961 0.0024103634 0.0050408286 0.0022498816 0.0019385561 0.00202709 0.0032055995 0.0027084649 0.0016857302 0.0029893077 0.006364803 0.0017664194 0.0022386748 0.0016848337 0.0021745719 0.007502071 0.0018946254 0.005162311 0.0052902927 0.011438355 0.0028936015 0.00307179 0.0026573618 0.006297338 0.001383146 0.0018105742 0.0064248713 0.004202334 0.0068162135 0.0056867898 0.0064235264 0.0021429686 0.008036412 0.0057226517 0.011483407 0.005325258 0.0020885034 0.0017641779 0.0026522067 0.0025567245 0.0012500089 0.0012948363 0.0029083944 0.001355129 0.0012495607 0.0013948011 0.0031004795 0.0016987302 0.0012504573 0.0047086584 0.0038708365 0.004022577 0.001646058 0.0018116949 0.0019683663 0.018805273 0.0012036128 0.020119384 0.0021440892 0.005964495 0.0012504573 0.0013468359 0.001974418 0.0012331987 0.0012190781 0.0011408546 0.0017998157 0.0014201285 0.0013988356 0.0013179223 0.0014584558 0.0012175092 0.0011666302 0.0012004748 0.0015862136 0.0011451131 0.0012087679 0.0011805267 0.0018784875 0.001089079 0.0011177685 0.0011090272 0.0013324912 0.0011052168 0.0011332339 0.0011545268 0.0013069396 0.0011762681 0.0012621123 0.0011950955 0.0014999211 0.0011318891 0.0011933025 0.0011948714 0.0016646613 0.0012340953 0.0011652854 0.0011096996 0.0014889385 0.0011193374 0.0022624333 0.001312543 0.0015066452 0.0011722336 0.0011549752 0.0011289753 0.0014367147 0.0011832163 0.001278026 0.0012195264 0.004080628 0.0021754683 0.0015617828 0.003150462 0.0027248268 0.0013342843 0.0018518154 0.0042146617 0.0018576429 0.001997504 0.0013598358 0.0013320429 0.008869751 0.0012327505 0.0011879231 0.0012883364 0.0018675049 0.0014790765 0.0016734027 0.0014248354 0.0017496091 0.0011989059 0.0011903887 0.0013033535 0.0014748179 0.0012856467 0.0012934915 0.001565369 0.0012529227 0.0012728709 0.0013784391 0.0013573703 0.0019107632 0.0012020437 0.001297526 0.0012466469 0.0011764922 0.0012641295 0.0012161643 0.0012396987 0.0077759656 0.0033593571 0.0013452669 0.0032618577 0.002150141 0.0014315594 0.0014766109 0.0015135935 0.0019461768 0.001511352 0.0016505407 0.0015160589 0.0014595765 0.0013826977 0.0015176279 0.0017796434 0.002354105 0.0019253321 0.0017760572 0.0017534194 0.0016834888 0.0018500222 0.00238526 0.01657646 0.00022956841 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052046343 0.00013294343 5.6607445e-05 6.277261e-06 6.041864e-05 1.389965e-05 1.2218241e-05 4.483758e-07 8.070764e-06 4.2595702e-06 1.7935032e-06 6.725637e-07 2.6902549e-06 2.5781608e-06 8.967516e-07 1.2330335e-06 0.0022677728 0.000115905146 4.99939e-05 6.165167e-06 4.9769715e-05 1.1321489e-05 1.0424737e-05 6.725637e-07 3.923288e-06 7.8465763e-07 1.7935032e-06 7.8465763e-07 1.2330335e-06 1.5693153e-06 1.5693153e-06 1.5693153e-06 0.0024134947 0.00010548041 6.0194452e-05 1.0873113e-05 4.8872964e-05 2.77993e-05 1.8943878e-05 9.303798e-06 1.4684308e-05 5.8288856e-06 1.0424737e-05 4.1474764e-06 8.8554225e-06 6.3893553e-06 3.3628185e-06 6.165167e-06 0.0051549766 0.00026981015 0.00012397591 5.817676e-05 0.00010234178 5.044228e-05 0.0001000999 6.7144276e-05 4.4725486e-05 2.6229984e-05 2.9256522e-05 2.8696051e-05 5.2459967e-05 3.51975e-05 2.77993e-05 2.7014643e-05 0.014337152 0.0004355971 0.00028785726 0.00020076026 0.00037854127 0.00031666542 0.00022855957 0.00019470719 0.00021735017 0.0002701464 0.00020692544 0.00020647705 0.00020176911 0.0001759875 0.0002542291 0.00022317906 0.02037711 0.0006984574 0.0011162315 0.0006224577 0.00051451125 0.000888905 0.0030784362 0.0016950847 0.00031285422 0.00027003433 0.00031610494 0.0002871847 0.0002798986 0.0003556741 0.0002334917 0.00040443498 0.024924314 0.0018273556 0.0048242994 0.0018394617 0.0017571847 0.0025493528 0.01799007 0.010447829 0.00050812186 0.00036542627 0.00029211683 0.00037349705 0.00044949673 0.00042562073 0.0003041109 0.0009105392 0.069637135 0.008772248 0.007350897 0.003202412 0.0034687473 0.0046392325 0.014967681 0.009119179 0.0013918706 0.0010667981 0.0010930281 0.0011204912 0.0011393229 0.00096311123 0.0010161317 0.0023648462 0.07884431 0.009179373 0.0074227494 0.0033185415 0.0044699707 0.006368842 0.013485575 0.0081957495 0.0018896798 0.0015178642 0.0013969148 0.0013305552 0.0015183126 0.0012665496 0.001322036 0.0017236687 0.019697148 0.0018573968 0.002363613 0.0010998659 0.0015053097 0.00228851 0.003906586 0.0026829687 0.0007243511 0.0004559982 0.0004836854 0.00041620483 0.0006235787 0.00045577402 0.0004279747 0.0004968004 0.0044225547 0.00041979185 0.0005964519 0.00029716105 0.000491532 0.00057190337 0.0005665228 0.00060272915 0.0006322099 0.00015838875 0.00019011134 0.00017094327 0.00034334377 0.00015513803 0.0002654385 0.0004463581 0.016947372 0.0019470719 0.0054468694 0.0011814702 0.004086609 0.0019211782 0.0012723785 0.0016996806 0.008125914 0.0008416014 0.00070664025 0.00074038055 0.003078212 0.00082927104 0.0022603746 0.0030931204 0.0584932 0.010632335 0.029663198 0.0071809627 0.019136567 0.009091492 0.0051030773 0.008779198 0.044449512 0.0029929085 0.0019211782 0.0031706896 0.017159117 0.0043519353 0.012154459 0.01824542 0.003931359 0.0010757657 0.0022545457 0.00084978424 0.0013713574 0.00072849856 0.00053435186 0.00087153044 0.0034643756 0.0003544411 0.0002184711 0.0003668835 0.0017750077 0.0005992543 0.001153783 0.0015708846 0.012393444 0.013034509 0.013081812 0.013332791 0.01297196 0.01324603 0.013392425 0.013273269 0.013141111 0.013341758 0.013015789 0.013223835 0.013594306 0.013148621 0.013449145 0.013562135 21438.0 22.385157 479893.0 0.018039439 0.00083768676 0.0008626923 0.00073974824 0.0011294184 0.0013252954 0.000773089 0.00079184317 0.010927436 0.010823246 0.014707445 0.00071474264 0.0019295968 0.0010794073 0.047837745 0.014374037 0.002596412 0.004121752 0.0038029312 0.0033653334 0.0032757302 0.0019129264 0.0032757302 0.0014607423 0.002525563 0.0016316137 0.0026693451 0.0066952426 0.00081684877 0.0011502564 0.00085435715 0.0006793181 0.0007168265 0.0029006465 0.003081937 0.004184266 0.0028402165 0.0044676624 0.005422042 0.0018587477 0.0013107088 0.003298652 0.00070849125 0.0011919324 0.0032819817 0.0024151218 0.0038425233 0.0021713173 0.0034861937 0.00090228446 0.0035528752 0.008591498 0.006443103 0.0037716741 0.0026172502 0.0023421887 0.00073558063 0.0006668153 0.00066056394 0.002875641 0.0008835303 0.002856887 0.0006480611 0.004586439 0.0005855472 0.050825913 0.00713284 0.03721246 0.021856956 0.0957776 0.015422188 0.018131126 0.0089457445 0.04808572 0.0021421441 0.0056345896 0.036472715 0.028583456 0.053322304 0.04006935 0.029567007 0.0024776356 0.054826804 0.041878086 0.07912806 0.026578842 0.004040484 0.0047323047 0.010381481 0.013230032 0.0012815357 0.001298206 0.000793927 0.0013523848 0.0005813796 0.0006105528 5.2666965 2.0 0.0 0.0 23.0 4461568.0 4583424.0 0.0 0.0 33.0 0.0 0.0 0.0 0.0 7009.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 4.0 0.0 4.0 0.0 1425920.0 1024.0 4096.0 14.0 0.0 0.0 2.0 2.0 59392.0 0.0 0.0 0.0 0.0 -369664.0 0.0 -198144.0 0.0 0.0 0.0 0.0 0.0 512.0 1692672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 70656.0 0.0 -308736.0 -82432.0 0.0 -225792.0 0.0 0.0 0.0 0.0 0.0 0.0 -1425920.0 -1024.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 7.980549 0.0 0.0 0.0 0.0 -7.996976 0.0 -7.9939966 0.0 0.0 0.0 0.0 0.0 4.2417307 5.7186203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9874306 0.0 7.922308 0.0 -5.3042636 -4.5302625 0.0 -15.961686 0.0 0.0 0.0 0.0 0.0 0.0 -6.0618286 -4.702232 0.0 0.0 0.0 0.0 -7.2195377 0.0 0.0 58929.0 0.0 0.0 0.0 0.0 -369497.0 0.0 -197661.0 0.0 0.0 0.0 0.0 0.0 34.0 1692351.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24947.0 0.0 70573.0 0.0 -308597.0 -161448.0 0.0 -225298.0 0.0 0.0 0.0 0.0 0.0 0.0 -1425433.0 -902.0 0.0 0.0 0.0 0.0 -274.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 902.0 4268032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 3129344.0 0.0 0.0 0.0 0.0


Input: 0.22705798 0.028282601 0.017836183 0.0063627292 0.005653586 0.006577918 0.0039858758 0.0024306506 0.007331077 0.0035261551 0.0035212645 0.0024648851 0.0026018233 0.003751125 0.001227552 0.013967683 0.0071354513 0.0017850855 0.001432959 0.0010906139 0.0016530381 0.00363864 0.0010319261 0.00095856644 0.0036582025 0.0015894597 0.00092433195 0.0012079894 0.0017655229 0.0011444109 0.00080695644 0.002235025 0.012035877 0.0016334755 0.0009732384 0.0015014281 0.013992135 0.0013400367 0.0007384874 0.0011101764 0.0032033727 0.0007825032 0.00075805 0.0028316835 0.00077761256 0.0028561368 0.0013938339 0.00095856644 0.005678039 0.0012911303 0.0011444109 0.0048075044 0.0015796784 0.00077272195 0.00087542547 0.00065534643 0.0028903713 0.0029832935 0.0011737548 0.0044358154 0.0015063187 0.0010514887 0.00072870613 0.0011493017 0.0052036466 0.012921085 0.00166771 0.002562698 0.0101627605 0.0063236044 0.0011101764 0.0014671936 0.048950467 0.007340858 0.0010074729 0.0012520051 0.009028131 0.0038831723 0.0011835361 0.00136449 0.003296295 0.0010123636 0.0015552251 0.00181932 0.0020296178 0.0019220236 0.0013987245 0.0019073517 0.0018828984 0.00047439258 0.0006113307 0.000978129 0.0032229351 0.0014769748 0.0012764584 0.0024404319 0.0023230566 0.004298877 0.0011101764 0.0044211433 0.0038440472 0.0077125477 0.0055606635 0.0018046481 0.0030566533 0.004450487 0.00060644 0.0015405532 0.004328221 0.0020687429 0.004215736 0.0047928323 0.004083689 0.00049395516 0.0061817756 0.0048613013 0.014945812 0.008475488 0.0012960209 0.0016432567 0.002797449 0.0019366955 0.00092433195 0.0007335968 0.0024795572 0.0011395203 0.0009928009 0.0009732384 0.008876521 0.0022643688 0.0015503345 0.01258363 0.00447005 0.0102312295 0.0015356626 0.0015552251 0.0033403106 0.013238977 0.0010074729 0.033173244 0.0008607535 0.010446418 0.00060154934 0.00072381546 0.0018780078 0.00050373643 0.00046950195 0.000689581 0.0010417075 0.00050373643 0.00043526743 0.00047928322 0.0015112094 0.0006504558 0.00035212646 0.00032278258 0.00075315934 0.00035212646 0.0003667984 0.00048417388 0.0019073517 0.00077272195 0.0006504558 0.0007922845 0.0009634571 0.000537971 0.00062600255 0.00074826874 0.0014965375 0.0006504558 0.00089987874 0.0007922845 0.00090476935 0.00060644 0.0012079894 0.0012373333 0.0017557417 0.0006406745 0.00045483 0.0005330803 0.0007384874 0.00062111195 0.0025724794 0.0023230566 0.0026213857 0.0014671936 0.0011590829 0.0012422239 0.0007042529 0.00069936225 0.00092433195 0.0011541923 0.00878849 0.004611878 0.002357291 0.004753707 0.0034234517 0.0007873939 0.0024453227 0.0033403106 0.0036337494 0.003061544 0.0012568958 0.0020736335 0.010431746 0.00094878516 0.0015209906 0.0016188036 0.0026409484 0.00106127 0.0021958996 0.0013400367 0.0009145506 0.00072870613 0.0008949881 0.001266677 0.002039399 0.0010906139 0.0006846903 0.0015796784 0.00054286164 0.0004890645 0.00044993937 0.00059176807 0.002714308 0.0008363003 0.0006602371 0.0005526429 0.00087053486 0.00034234516 0.0004205955 0.0005281897 0.0106175905 0.0027240894 0.00075805 0.0037266717 0.0024844478 0.00062600255 0.00054286164 0.0005575335 0.0025235729 0.0007873939 0.00079717516 0.0005819868 0.0005526429 0.0003912516 0.0021029774 0.0013204742 0.0030762157 0.0016383661 0.001075942 0.0008460816 0.0009341132 0.00096834777 0.0021274306 0.02501565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008478338 0.00018248895 0.00016769255 1.2330334e-05 0.000101108744 0.000103574814 9.8642675e-05 0.00015536221 0.000517874 2.2194603e-05 5.1787407e-05 2.2194603e-05 3.205887e-05 7.398201e-05 4.4389206e-05 3.6991005e-05 0.011511601 0.00020221749 0.0005055437 6.904987e-05 0.00019975142 0.00013070155 0.001252762 0.0005376026 0.00043895992 2.9592804e-05 6.165167e-05 3.205887e-05 3.205887e-05 5.1787407e-05 4.685527e-05 4.9321337e-05 0.055217706 0.00089025014 0.0021923336 0.000700363 0.001805161 0.0010530106 0.004231771 0.0033661814 0.0031738281 0.00034771542 0.0005376026 0.0003575797 0.0003797743 0.00058939 0.0003353851 0.0005795257 0.021134194 0.0007250237 0.0016497988 0.0007792771 0.00039703678 0.000515408 0.0053267046 0.0026732166 0.0005819918 0.000115905146 0.00025647096 0.00014796402 0.00018002288 0.0003205887 0.00014796402 0.00040196892 0.020976365 0.00039703678 0.0015215633 0.0007324219 0.0010875355 0.00076448073 0.008480804 0.004360006 0.0013538707 8.384627e-05 0.000108506945 7.398201e-05 0.00018248895 9.8642675e-05 7.644807e-05 0.000106040876 0.026877664 0.0027521306 0.004155323 0.0018248896 0.002249053 0.0024636008 0.012438841 0.0072995583 0.000996291 0.00038470645 0.00049321336 0.0007718789 0.0007866754 0.00068063446 0.00063131313 0.0008507931 0.010234178 0.0007126933 0.001030816 0.0006041864 0.0004537563 0.0005351365 0.0016867898 0.0011911104 0.00035264756 0.0003205887 0.0002614031 0.0011664496 0.00029346196 0.00028606376 0.0005203401 0.00055239897 0.017701428 0.0009099787 0.0014130564 0.0011935764 0.0020764284 0.0011467211 0.00117878 0.001289753 0.0019457268 0.0009001144 0.0036645755 0.001440183 0.0021060212 0.0009888929 0.0012601602 0.0011886442 0.015740905 0.0016547309 0.0019975142 0.0016892558 0.00669044 0.0008557252 0.0016892558 0.0023328993 0.0071047386 0.0005351365 0.001696654 0.0012133049 0.0027077415 0.0007669468 0.0011861782 0.0026436236 0.13026506 0.019748263 0.02594549 0.019965278 0.08659347 0.015649661 0.01396287 0.024853023 0.07866754 0.0065991953 0.00508503 0.012359927 0.04133128 0.012118253 0.020342587 0.031967625 0.01800722 0.00375582 0.006150371 0.004986387 0.014357442 0.0040690103 0.0054450757 0.0057779946 0.011888908 0.0013316761 0.0025375828 0.0019654552 0.0073118885 0.0025548453 0.0043649385 0.0065054847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 976.0 15.753074 15375.0 0.062439024 0.0025365853 0.0007804878 0.0029918698 0.011772358 0.006894309 0.0009105691 0.0044227643 0.0029918698 0.0021463414 0.0006504065 0.0009105691 0.0007804878 0.0036422764 0.008715447 0.004487805 0.012097561 0.006308943 0.0028617887 0.0042926827 0.0021463414 0.0007154472 0.0016260162 0.0007804878 0.0031219511 0.0042276424 0.005593496 0.002796748 0.002601626 0.0018211382 0.003512195 0.0014959349 0.006178862 0.037268292 0.0012357724 0.009691057 0.012227642 0.008520326 0.003186992 0.0033821138 0.016 0.0047479677 0.00045528455 0.0007804878 0.00793496 0.0028617887 0.0045528454 0.003902439 0.0049430896 0.0021463414 0.010666667 0.00897561 0.0069593494 0.0074146343 0.010861789 0.011707317 0.0022113821 0.0006504065 0.0011056911 0.0015609756 0.00500813 0.0056585367 0.008130081 0.016260162 0.00396748 0.036422763 0.006373984 0.034666665 0.026796749 0.07486179 0.01001626 0.011837399 0.009560975 0.038699187 0.0007154472 0.00396748 0.02705691 0.015089431 0.03499187 0.04669919 0.015739838 0.0014308944 0.052162603 0.03590244 0.058406506 0.019252032 0.0066341464 0.0066341464 0.005528455 0.009821138 0.0015609756 0.0003902439 0.0025365853 0.00032520326 0.0007154472 0.00097560976 5.5970054 0.0 20.0 0.0 2.0 204472.0 229376.0 1.0 2.0 87.0 1.0 1.0 1.0 0.0 0.0 1526062100.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 131584.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47104.0 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 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131584.0 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 -5.427126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.581884 0.0 0.0 0.0 0.0 5.367466 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2833474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4066787 0.0 4.1974635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47072.0 0.0 0.0 0.0 0.0 6528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131231.0 0.0 1424.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 111.0 184000.0 60.0 184112.0 1424.0 221184.0 6528.0 212992.0 7864.0 196608.0 2036.0 225280.0 56.0 140128.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 174128.0 0.0 0.0 712.0 139264.0 0.0 0.0 0.0 0.0


Input: 0.067755766 0.0060560466 0.004167679 0.0046257805 0.0051110634 0.0043115853 0.0041596848 0.003650417 0.0053780894 0.0031779255 0.0031651338 0.0034385554 0.005312532 0.0044962647 0.0030707954 0.00952898 0.010282088 0.007850875 0.0028149623 0.0027254208 0.0036791982 0.0046793455 0.0027901786 0.0027438088 0.003924638 0.0028213582 0.00274221 0.0027717906 0.0033586074 0.003364204 0.0027438088 0.0029796548 0.0042084525 0.0028157618 0.0029268893 0.003045212 0.0042684134 0.003501714 0.0028349494 0.0028541368 0.003428162 0.0026646606 0.002884517 0.0034729328 0.003213902 0.003042014 0.0028237565 0.002763796 0.0036008493 0.0028253556 0.0027613973 0.00454903 0.0032914514 0.0033626049 0.0028045692 0.002792577 0.003448149 0.0033817925 0.0027454079 0.0033753966 0.0032802587 0.0035760656 0.0027845823 0.002859733 0.004449895 0.004110117 0.0039893957 0.0038958567 0.0043755434 0.00560674 0.004738507 0.005084681 0.003779133 0.003081988 0.0029660638 0.0030084362 0.0034649381 0.003650417 0.0030180297 0.00304841 0.004470682 0.003105173 0.0042931973 0.0038191068 0.0037655418 0.003653615 0.003376196 0.0032546753 0.0032746622 0.0032426831 0.002660663 0.0028437437 0.0032986465 0.0033498132 0.003105173 0.0030556053 0.0035496827 0.003157139 0.0026094965 0.0030979777 0.0035089094 0.0035336933 0.003755948 0.0028349494 0.0155978175 0.0051414436 0.003417769 0.0027653947 0.00343136 0.0031715296 0.003304243 0.0034793287 0.003667206 0.002988449 0.0032914514 0.0035025135 0.004347562 0.0041580857 0.0027781865 0.0028053687 0.0033114383 0.002924491 0.0029324857 0.0028357487 0.003317834 0.0032474801 0.0030875844 0.0029876498 0.005356503 0.0036312295 0.0029101004 0.0053229253 0.005232584 0.0070202174 0.0030971782 0.002810965 0.0041045207 0.0059673046 0.0029988424 0.010852915 0.0032147015 0.005367696 0.002870926 0.002770991 0.0034409538 0.0026614626 0.0026310824 0.002739012 0.0030923814 0.0031547407 0.002647072 0.0027973738 0.0033873888 0.0027222228 0.0028197593 0.002847741 0.003235488 0.002878121 0.0028165614 0.0030332198 0.00370718 0.0042740097 0.0030204284 0.0046009966 0.0032578732 0.002758999 0.0026918428 0.0027853816 0.0035512818 0.0028389466 0.002774189 0.0028365483 0.0032482794 0.0028357487 0.0028069676 0.0029900481 0.0037151747 0.002870926 0.0026630615 0.0028285536 0.0031027745 0.0031579386 0.0037687398 0.0029652643 0.0062567154 0.0032171 0.0029268893 0.0029045038 0.0032083057 0.0030204284 0.0032186988 0.0030260247 0.0049951393 0.0048688217 0.0032003107 0.0051078657 0.003528097 0.0027270198 0.0036760003 0.00655652 0.0039462238 0.0031091704 0.0029500742 0.0028701264 0.004514653 0.002723822 0.0029612668 0.0030364178 0.0037279665 0.003016431 0.002878121 0.0028701264 0.0032115036 0.0027134286 0.0028197593 0.0028741239 0.0036312295 0.0028373478 0.0027949754 0.0029284882 0.0035872583 0.0030460116 0.0029005066 0.002798973 0.004223643 0.002878121 0.002777387 0.0028741239 0.0037079793 0.0029300873 0.0027454079 0.0027222228 0.005338115 0.004923986 0.0028565351 0.002976457 0.0037431566 0.0026750537 0.0028837174 0.003011634 0.004281205 0.0028029701 0.0028085667 0.0032083057 0.0036664065 0.003103574 0.003299446 0.0030675975 0.004162083 0.0031659333 0.0031411494 0.0036480185 0.004060549 0.0036496175 0.003986997 0.023763686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030265432 0.00011686732 0.00023053278 0.00018810834 0.00048187756 0.00017530097 0.0007336226 0.00052670337 0.0006279617 8.404841e-05 0.00010606109 0.00013047515 0.00019090997 0.00020251665 0.00046106556 0.0009141265 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055075726 0.00075963757 0.0005403112 0.0007920562 0.0013119557 0.0012142995 0.0008741035 0.0011158427 0.0028080174 0.00033379227 0.00030657658 0.0005519179 0.001397605 0.0004926838 0.0014012071 0.0027235688 0.042939935 0.014006468 0.0069884253 0.007539543 0.012717726 0.0097504165 0.013644259 0.007038054 0.019585282 0.005454342 0.0075263353 0.0083808275 0.0121117765 0.005912205 0.008297179 0.01810723 0.065678634 0.0466965 0.041514713 0.04204222 0.045456182 0.042056624 0.046485577 0.04057017 0.04938885 0.040463306 0.04238161 0.04298116 0.045842007 0.041385036 0.042023804 0.04798444 4548.0 7.0224276 31938.0 0.019130817 0.006700482 0.008140773 0.0075145597 0.007858977 0.0075458703 0.0067631034 0.008798297 0.00801553 0.007577181 0.0061995117 0.007952909 0.0072327633 0.0069509675 0.007358006 0.0070762103 0.009518442 0.006731793 0.0071388315 0.008735675 0.007765045 0.0075145597 0.0064813076 0.007389317 0.00801553 0.008359947 0.0073266956 0.007264074 0.007858977 0.007858977 0.0076084915 0.007358006 0.008547812 0.00895485 0.008704364 0.01036383 0.00895485 0.008172084 0.011522325 0.008986161 0.00986286 0.008579122 0.0076084915 0.006731793 0.008610433 0.00895485 0.008892229 0.008203394 0.010551694 0.0076711127 0.007827666 0.010583005 0.010269898 0.007827666 0.009706306 0.009925481 0.008547812 0.008391258 0.00801553 0.0070448993 0.008641743 0.0062934435 0.0067631034 0.011397081 0.009174025 0.019036883 0.0091114035 0.016594652 0.015029119 0.032625712 0.010175966 0.01039514 0.022762854 0.026488822 0.008704364 0.008109462 0.01599975 0.016688583 0.019850962 0.026676686 0.014277663 0.012868683 0.02257499 0.024891978 0.025330327 0.012305091 0.008923539 0.008234705 0.009393199 0.009737616 0.009080092 0.0070762103 0.009330578 0.008328637 0.008297326 0.0070762103 6.4434795 0.0 2.0 0.0 17.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9938774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 492112.0 62392.0 1216512.0 0.0 0.0 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 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.216848 0.016101958 0.0068697543 0.004009947 0.021759404 0.0034193348 0.003605844 0.0025489586 0.0106931925 0.002517874 0.0039166925 0.001119055 0.004880323 0.0020826857 0.0016474976 0.006030463 0.0043829656 0.0011501398 0.001554243 0.0012433945 0.0050046626 0.0022070252 0.0015231582 0.0010879701 0.0035436742 0.0019894312 0.0013055642 0.0013055642 0.0043207956 0.0016474976 0.001119055 0.0015853279 0.009263289 0.001802922 0.0015853279 0.00096363074 0.028256139 0.005533105 0.0017407523 0.0015853279 0.0027976376 0.0015853279 0.0013055642 0.0010879701 0.0012123096 0.0023313647 0.0024246192 0.0046316446 0.002020516 0.005875039 0.0014920734 0.0014609885 0.002517874 0.0014609885 0.0011812247 0.000901461 0.0017096674 0.0016164128 0.0019894312 0.0014299037 0.0027354679 0.0014609885 0.0008082064 0.0008703761 0.014361206 0.0054709357 0.0016785825 0.002020516 0.0052844263 0.0039166925 0.0024246192 0.001554243 0.0016474976 0.0017718371 0.0016785825 0.003605844 0.005191172 0.0032328255 0.0014609885 0.0018961766 0.0042275414 0.0010258005 0.0023313647 0.0027976376 0.0052844263 0.004258626 0.0013988188 0.0017407523 0.0015231582 0.0011812247 0.0008082064 0.0016164128 0.004973578 0.00338825 0.0013055642 0.0022070252 0.0026111284 0.008299658 0.0024557041 0.0056574447 0.004973578 0.010848617 0.0030152316 0.0027354679 0.0027043829 0.0059372084 0.0028287224 0.0010258005 0.005035748 0.0032328255 0.00671433 0.0059061237 0.0061548026 0.0012123096 0.008113149 0.007149518 0.013801679 0.006123718 0.001802922 0.0014299037 0.0032639105 0.0015231582 0.00083929126 0.00083929126 0.0036990985 0.0023002797 0.0017096674 0.0023002797 0.006963009 0.0018650917 0.001119055 0.0075225364 0.0035125893 0.008548337 0.0011812247 0.0007460367 0.001554243 0.032172833 0.00068386697 0.009636307 0.0007771215 0.0088591855 0.000901461 0.00093254587 0.011221635 0.0009947156 0.0010258005 0.0011501398 0.0013366491 0.0015853279 0.0008082064 0.0019894312 0.0014299037 0.00096363074 0.00068386697 0.0007771215 0.0012433945 0.0016164128 0.00068386697 0.00096363074 0.0014299037 0.0023624494 0.0010568853 0.001119055 0.0015853279 0.0007771215 0.0010879701 0.0007460367 0.0023624494 0.00093254587 0.0008703761 0.001119055 0.0010568853 0.0008082064 0.0008082064 0.0008703761 0.0013988188 0.00071495184 0.00083929126 0.001119055 0.001802922 0.0016164128 0.0022070252 0.0014609885 0.0036990985 0.0034193348 0.0032017408 0.0018650917 0.0011501398 0.0018340069 0.0021448554 0.0019894312 0.007895554 0.003108486 0.0016164128 0.0035125893 0.0013988188 0.0010879701 0.0015853279 0.006527821 0.0016474976 0.0024246192 0.0009947156 0.0010258005 0.0007771215 0.000901461 0.00071495184 0.00071495184 0.0024557041 0.0006527821 0.002890892 0.0014920734 0.0012433945 0.00071495184 0.0010879701 0.0011501398 0.001802922 0.0012744793 0.0014920734 0.0019583462 0.0011812247 0.000901461 0.0013055642 0.00093254587 0.0012123096 0.0008703761 0.0018650917 0.00083929126 0.0013366491 0.00223811 0.0009947156 0.0008082064 0.015822195 0.003108486 0.0011501398 0.0023002797 0.006279142 0.0007771215 0.0007460367 0.0008703761 0.0024557041 0.00096363074 0.000901461 0.0012744793 0.0026732981 0.0010258005 0.0026422131 0.0018650917 0.00223811 0.0013988188 0.0011501398 0.0040721167 0.0055641904 0.0025489586 0.00453839 0.025924774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020670572 0.0006510417 0.001546224 0.00032552084 0.0007486979 0.0011555989 0.0048177084 0.0025390624 0.00021158854 3.2552085e-05 4.8828126e-05 0.00040690103 1.6276043e-05 4.8828126e-05 8.138021e-05 3.2552085e-05 0.039811198 0.00014648438 0.004231771 0.0016438802 0.0036946614 0.0020833334 0.00859375 0.00476888 0.0001953125 0.00022786458 0.00024414062 0.0001953125 0.0001953125 0.0001953125 0.0001953125 0.00024414062 0.03173828 0.0007324219 0.0010416667 0.0005533854 0.0037434895 0.0029296875 0.01430664 0.008919271 0.00034179687 0.0005045573 0.0004720052 0.00029296876 0.00032552084 0.0002766927 0.00029296876 0.0001953125 0.019352214 0.0007324219 0.0013834635 0.0009602865 0.0010091146 0.0011067708 0.0006673177 0.0009928385 0.0022460937 0.0005045573 0.00026041668 0.0004720052 0.0010742188 0.00026041668 0.0010904948 0.0012207031 0.014241536 0.00011393229 0.0022949218 0.00078125 0.0033203126 0.0014160157 0.0022786458 0.001529948 0.0005859375 0.0030436197 9.765625e-05 0.00026041668 0.00040690103 0.00040690103 0.00048828125 0.0020670572 0.012792969 0.00092773436 0.0018229167 0.00081380206 0.0015625 0.0011555989 0.0049804687 0.003076172 0.0008951823 0.00079752604 0.00056966144 0.0010579427 0.0006673177 0.000764974 0.00069986976 0.0007486979 0.12872721 0.01845703 0.043440755 0.013395182 0.026969401 0.01735026 0.00945638 0.023616536 0.07524414 0.012727865 0.006152344 0.017708333 0.021842448 0.009375 0.027636718 0.04790039 0.0087890625 0.0013997395 0.0018066406 0.0010904948 0.0024088542 0.0013834635 0.005192057 0.0025878907 0.00068359374 0.0010742188 0.0011555989 0.0010091146 0.0012369792 0.0012044271 0.0010416667 0.0012695312 0.019840496 0.012353515 0.0118977865 0.010986328 0.014029948 0.012239584 0.01953125 0.0138509115 0.010465494 0.010481771 0.010660808 0.010221354 0.011376953 0.010628255 0.011425781 0.010009766 226.0 16.212389 3664.0 0.03275109 0.00054585154 0.00027292577 0.00027292577 0.00054585154 0.007368996 0.0 0.00027292577 0.00054585154 0.00054585154 0.0008187773 0.00054585154 0.00054585154 0.0076419213 0.012827511 0.031659387 0.0016375546 0.0008187773 0.0030021835 0.003548035 0.003548035 0.0 0.0019104803 0.00054585154 0.00054585154 0.0 0.008187773 0.00027292577 0.0 0.0008187773 0.00027292577 0.0 0.0016375546 0.013919214 0.0032751092 0.0065502184 0.003548035 0.015283843 0.0062772925 0.0049126637 0.0049126637 0.007368996 0.005458515 0.0095524015 0.009825327 0.012554585 0.0030021835 0.0040938864 0.010371179 0.0013646288 0.013373363 0.011462882 0.006004367 0.006004367 0.0013646288 0.006004367 0.0008187773 0.0016375546 0.00054585154 0.0013646288 0.003548035 0.0 0.0 0.0095524015 0.0008187773 0.062227074 0.005458515 0.031659387 0.03411572 0.082969435 0.0065502184 0.015010917 0.008733625 0.04503275 0.0155567685 0.0024563319 0.036572054 0.01746725 0.049945414 0.04366812 0.020196507 0.0008187773 0.06304585 0.0529476 0.055131003 0.013373363 0.007368996 0.005731441 0.0076419213 0.0043668123 0.0010917031 0.00027292577 0.00027292577 0.00054585154 0.0008187773 0.00027292577 5.3181133 0.0 1.0 5.0 1.0 32170.0 73728.0 0.0 0.0 87.0 0.0 1.0 0.0 0.0 0.0 1438104000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 22.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 6.0 1.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 -3072.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5143113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.74141073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.117826 -4.866399 4.0026984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36016.0 0.0 0.0 -192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16296.0 -2708.0 852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2708.0 65536.0 852.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 66044.0 0.0 0.0 0.0 0.0