Input: 0.4375112 0.0054703928 0.003870413 0.0051396457 0.003879372 0.0019090752 0.0013849568 0.0012012913 0.0061662304 0.001101246 0.0012042777 0.0010265852 0.002508601 0.0008668112 0.000701811 0.0027355696 0.0027639407 0.00062043074 0.0007861776 0.0007772183 0.0013640517 0.0015200927 0.0005614488 0.00053233106 0.0011975582 0.0005905665 0.00049649394 0.0006525349 0.0010863137 0.00050619984 0.0006540281 0.000646562 0.0027437822 0.00045991017 0.00057339447 0.0005412904 0.0030043481 0.00092131353 0.0004987338 0.00053905055 0.0013453866 0.0008339605 0.00075332687 0.0014648438 0.0025309992 0.001118418 0.0008787569 0.00069434487 0.0032231042 0.0018583059 0.0018500931 0.0056227003 0.002063623 0.0015566765 0.0018792108 0.0017806587 0.0026638953 0.0016193915 0.0015813145 0.0022629672 0.002006134 0.0018008171 0.0012386217 0.0012251828 0.003911476 0.0017209301 0.0016634413 0.0019926953 0.003288059 0.016420884 0.003270887 0.0010930332 0.0013857033 0.0019180344 0.0014200473 0.001483509 0.0025429449 0.0033425614 0.0018187356 0.0028520403 0.0075967303 0.001793351 0.0010489834 0.0023995962 0.0016410431 0.0072577707 0.0019277403 0.0013894364 0.0016947988 0.0030640769 0.0018224687 0.0015760883 0.001306563 0.0020389848 0.0011736669 0.0009354991 0.0010751147 0.0013394137 0.00071077025 0.0010333046 0.0043392824 0.0023757047 0.0013117893 0.0008197749 0.0048775864 0.0016537354 0.004311658 0.0007458608 0.0020882608 0.00096909644 0.0015798213 0.0015275588 0.001334934 0.00065029506 0.0016582151 0.0013185086 0.0042168386 0.004471432 0.0010310649 0.0008473994 0.0012654996 0.00090712804 0.0005942995 0.0005241184 0.0013005901 0.0012363818 0.0007757251 0.0005808606 0.0022614738 0.0015969933 0.0005114261 0.00491641 0.0025623566 0.009256438 0.0005136659 0.00048380162 0.0012207031 0.0052381977 0.0008571053 0.024382705 0.0012154769 0.016775522 0.0005636886 0.00050396 0.0013871966 0.0004210866 0.0004987338 0.0004128739 0.0010235987 0.0023338948 0.00046812286 0.00048604142 0.0013334409 0.0006749331 0.00045991017 0.0004711093 0.0011378297 0.0005509963 0.0004210866 0.00047558892 0.0010071734 0.0018702516 0.00032701404 0.000667467 0.0012207031 0.00043975178 0.00041586033 0.0004218332 0.00092504657 0.00041810016 0.0004733491 0.00040839426 0.0011684406 0.00036807745 0.00044721784 0.00048753465 0.0013662915 0.00063386967 0.00050396 0.0006831458 0.0010781011 0.0008929425 0.00043751195 0.0005054532 0.0042937393 0.0017007717 0.0050903694 0.0005942995 0.001150522 0.00074810063 0.0006525349 0.0005845936 0.006701548 0.000827241 0.0009459516 0.0038196435 0.0018486 0.0004121273 0.0016731472 0.0013565856 0.0017784189 0.0013252281 0.00043900515 0.0007242092 0.0012363818 0.00035463853 0.0005435302 0.00071748975 0.0016865862 0.00057339447 0.0012423547 0.00065029506 0.0013670382 0.00042855265 0.0006525349 0.0005562225 0.002696746 0.0005233718 0.0005218786 0.0013640517 0.0014962013 0.00050619984 0.00058011396 0.00041810016 0.0021875596 0.0005480098 0.00045692374 0.0007540735 0.0019620843 0.0010512233 0.00045543053 0.00043975178 0.025155444 0.001751541 0.0005636886 0.0023876505 0.0031252985 0.0005166523 0.00048529482 0.00046961606 0.0030633302 0.00052934466 0.0006129647 0.0005726479 0.0027729 0.00044721784 0.00084068 0.002002401 0.004265368 0.00076153956 0.0023883972 0.005404691 0.009062321 0.005839963 0.0067582903 0.068169735 0.34736037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014095525 1.4943573e-05 1.04605015e-05 3.7358932e-06 2.0921003e-05 8.9661435e-06 2.241536e-05 1.3449216e-05 1.4943573e-06 1.8679466e-06 2.9887146e-06 5.2302507e-06 8.9661435e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0020524997 1.681152e-05 3.0634325e-05 5.9774293e-06 2.6524842e-05 1.04605015e-05 3.6611753e-05 1.7932287e-05 2.4283307e-05 7.4717866e-07 7.4717866e-07 8.592555e-06 1.2328448e-05 7.4717864e-06 2.9887146e-06 4.0721236e-05 0.0019363135 1.9800234e-05 3.1007916e-05 1.083409e-05 2.5777663e-05 1.4943573e-05 4.483072e-05 2.204177e-05 1.1954859e-05 1.4196395e-05 7.845376e-06 1.9800234e-05 1.643793e-05 1.2328448e-05 2.9887146e-06 0.000104231425 0.0029659257 5.7532758e-05 4.8193022e-05 5.0808147e-05 0.00021145155 6.0147882e-05 5.8279937e-05 4.7819434e-05 3.5490986e-05 1.8305876e-05 1.6064341e-05 3.362304e-05 3.1007916e-05 2.9513556e-05 1.3449216e-05 0.00014794138 0.001666582 1.3449216e-05 2.4656896e-05 3.5490986e-05 8.0695296e-05 6.6125314e-05 0.0001572811 0.000102363476 7.35971e-05 3.7358932e-06 1.4943573e-06 4.4830717e-06 2.80192e-05 1.2702037e-05 5.2302507e-06 1.9426645e-05 0.0010983526 3.5490986e-05 4.9313792e-05 2.764561e-05 6.4257365e-05 1.3449216e-05 2.3909717e-05 7.247633e-05 3.175509e-05 1.0086912e-05 1.2328448e-05 6.3510183e-06 6.3510183e-06 6.3510183e-06 3.5490986e-05 3.6611753e-05 0.003314858 2.8766379e-05 8.667272e-05 0.00033324168 0.00095041125 0.00051144377 0.0023476353 0.0012657206 7.3223506e-05 1.5690752e-05 2.0173824e-05 3.287586e-05 6.4630956e-05 2.727202e-05 3.8479702e-05 7.02348e-05 0.002778384 0.00013187704 0.00047819433 0.0015205086 0.002448878 0.001407311 0.002175037 0.0014756778 0.00014868854 4.968738e-05 5.6411987e-05 8.443119e-05 8.106889e-05 4.8566613e-05 4.968738e-05 7.247633e-05 0.0032887068 0.00011618628 0.00023162538 0.00036835906 0.0009037126 0.00046138282 0.0006373434 0.00043112208 0.0006384642 0.00023311975 7.733299e-05 0.00012888832 0.00014868854 9.414451e-05 0.00024395384 0.0011783007 0.0060144146 0.0011013413 0.0013460424 0.013451457 0.0014065638 0.0011230095 0.0019766612 0.0015780414 0.0022665665 0.0011151641 0.0011734441 0.0012825321 0.0011301077 0.0011424362 0.0017670775 0.005736464 0.012537284 0.0012279882 0.00218886 0.002209781 0.004216329 0.0026457596 0.0023539863 0.0017140278 0.009471237 0.001998703 0.0011069452 0.0023722923 0.0019710574 0.0012537658 0.0035330344 0.016528713 0.043313947 0.0049721003 0.006194111 0.006474303 0.018339127 0.0135695115 0.008589192 0.006963705 0.030468825 0.0046691196 0.0034844677 0.007966792 0.009095032 0.0055754473 0.017738022 0.047475357 0.04617153 0.006783635 0.007942135 0.009505607 0.02115487 0.018525548 0.012097944 0.008757307 0.029351793 0.0041644 0.004877582 0.008718081 0.011852869 0.006824356 0.018595409 0.041754212 0.00042850696 0.00023984435 0.0002491841 0.00025927098 0.00030335452 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3889.0 14.869118 57826.0 0.015996264 0.0012797011 0.0023172968 0.0015218068 0.0025248157 0.0012105282 0.0017293259 0.002801508 0.0054300833 0.0047729397 0.0014872203 0.006813544 0.0028533877 0.001936845 0.009701518 0.0062947464 0.017120326 0.017051153 0.019143637 0.017569952 0.013696261 0.0134887425 0.015183481 0.015736865 0.016324837 0.013246637 0.010168436 0.015356414 0.010445128 0.012122574 0.0096150525 0.007228582 0.0030954934 0.011984228 0.0063812127 0.010237609 0.01162107 0.011465431 0.008508284 0.009857157 0.006882717 0.011655657 0.0059661744 0.0056548957 0.0096150525 0.009200014 0.009355653 0.007609034 0.011880469 0.027357936 0.008041365 0.017258672 0.011067686 0.008197005 0.00944212 0.0118112955 0.0071939956 0.009234601 0.006398506 0.005084218 0.0044270745 0.004876699 0.004600007 0.00466918 0.002472936 0.020924844 0.0071939956 0.016030852 0.01793311 0.044063225 0.009718812 0.010669941 0.013177464 0.021512814 0.0065022656 0.008906028 0.026009062 0.011759416 0.022688756 0.02472936 0.0099090375 0.0050669247 0.024798533 0.018918825 0.030332377 0.012606786 0.009874451 0.008681216 0.006813544 0.009960917 0.005948881 0.0030436136 0.0015391001 0.003009027 0.0015736866 0.00083007646 6.2558513 0.0 0.0 0.0 66.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 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 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.662803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6643357 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3481092 0.0 0.0 0.0 0.0 0.0 0.0 -3.8778133 6.7841635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6980.0 409600.0 6848.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.37453005 0.0063386154 0.0044011036 0.0025662412 0.005145313 0.0022967858 0.0020144992 0.0020273305 0.006300122 0.0012574581 0.0017193815 0.0008211972 0.0043882723 0.0011676397 0.0009880029 0.0031564767 0.00468339 0.0005774042 0.0004747546 0.0004619234 0.0022582922 0.007493424 0.00043626098 0.00055174186 0.0014242638 0.00066722266 0.0004747546 0.00076987233 0.0013857702 0.0006158979 0.00060306664 0.0007442099 0.0068903575 0.00034644254 0.000936678 0.0005132482 0.002745878 0.0016423943 0.0012574581 0.0004619234 0.001501251 0.0008596908 0.0002694553 0.0009495092 0.0008211972 0.00076987233 0.0017065504 0.0009751716 0.0019246808 0.00066722266 0.001000834 0.0047090524 0.0007570411 0.0016167319 0.00062872906 0.00030794894 0.0012061333 0.0026560596 0.0009623404 0.002373773 0.0012317958 0.0014499262 0.0007827035 0.0009110156 0.023506768 0.002373773 0.00043626098 0.0019503433 0.0021684738 0.010457433 0.0031436454 0.0010649901 0.0018861872 0.0014884198 0.0017578752 0.0005132482 0.0015140822 0.004247129 0.0012061333 0.0008468596 0.012317957 0.0012574581 0.001629563 0.006518252 0.0021941361 0.0035799064 0.0062744594 0.0045550778 0.001308783 0.004118817 0.00028228652 0.0010649901 0.0020273305 0.0023224482 0.0024892539 0.0024507602 0.00087252195 0.010046834 0.00080836593 0.0036440624 0.0055430806 0.013832039 0.0032078014 0.0012446269 0.010059665 0.006133316 0.0048758583 0.0009110156 0.0065695774 0.0024379292 0.006428434 0.006235966 0.0047732084 0.00039776738 0.006556746 0.0058895233 0.016141657 0.01606467 0.0041059856 0.0011676397 0.0015269135 0.0019888368 0.0006928851 0.00015397447 0.0012831206 0.002925515 0.0009623404 0.0004234298 0.0031436454 0.0015397447 0.00015397447 0.0064669275 0.0025790723 0.010059665 0.00033361133 0.00030794894 0.0017065504 0.0071726437 0.0011163149 0.012946687 0.001372939 0.012330788 0.00019246808 0.00016680566 0.0006158979 0.00011548085 0.0002052993 0.00037210496 0.0006158979 0.0002566241 0.00019246808 0.00038493617 0.0004619234 0.0002052993 0.00015397447 0.00011548085 0.0009623404 0.00011548085 0.0004105986 0.0004747546 0.0009238468 0.00039776738 0.00019246808 0.00033361133 0.00062872906 0.00038493617 0.00021813049 7.6987235e-05 0.0006543915 6.4156025e-05 0.00019246808 0.00059023546 0.0005132482 0.00019246808 0.00010264965 0.00014114326 0.005299288 0.0018348624 0.0021684738 0.0004875858 0.0011548084 0.0002437929 0.00037210496 0.00059023546 0.0018091999 0.00055174186 0.00035927375 0.0010906524 0.0011034837 0.00056457304 0.0011291461 0.00055174186 0.008725219 0.0009238468 0.0017193815 0.0036055688 0.0027202156 0.0006415603 0.0022069674 0.0026945532 0.001372939 0.0024764226 0.00062872906 0.0007442099 0.0015269135 0.0005132482 0.00073137874 0.0004875858 0.0008981844 0.0005132482 0.00055174186 0.0008596908 0.0006415603 0.00029511773 0.0019375121 0.0013986015 0.0020401618 0.0007570411 0.0006158979 0.0014114326 0.0019631744 0.00062872906 0.0008981844 0.00056457304 0.0023352795 0.0007570411 0.0010136652 0.00083402835 0.0023481105 0.0004105986 0.00056457304 0.0002566241 0.009995509 0.0020786552 0.000500417 0.003926349 0.0039520115 0.0002052993 0.00062872906 0.00034644254 0.005055495 0.00079553475 0.00079553475 0.0010649901 0.0019246808 0.0011034837 0.00287419 0.0011419773 0.0028485276 0.0011548084 0.0010264964 0.0014627575 0.005594406 0.0011933021 0.0024250979 0.050093025 0.10666667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025794271 3.90625e-05 2.6041667e-05 3.90625e-05 0.0002734375 6.510417e-05 0.00014322916 9.1145834e-05 0.0 1.3020834e-05 3.90625e-05 2.6041667e-05 0.0 3.90625e-05 2.6041667e-05 5.2083335e-05 0.024264323 1.3020834e-05 0.0001953125 6.510417e-06 0.00014973959 0.00018229167 0.0011197916 0.0006705729 0.0 1.953125e-05 1.3020834e-05 0.0 6.510417e-06 6.510417e-06 0.0 1.953125e-05 0.023678385 0.000234375 0.00016927083 0.00015625 0.000234375 7.161458e-05 0.00025390624 0.00014973959 0.0002734375 8.4635416e-05 5.859375e-05 0.00011067709 7.8125e-05 0.00012369792 0.00030598958 0.00068359374 0.011647135 9.765625e-05 0.00012369792 3.90625e-05 0.0001171875 5.2083335e-05 0.00021484375 0.00011067709 0.00013020834 0.00020182291 1.3020834e-05 0.00024739583 0.00018229167 7.8125e-05 3.2552085e-05 4.5572917e-05 0.009205729 3.90625e-05 0.00060546875 6.510417e-06 0.000234375 0.00010416667 0.002076823 0.0009895833 0.0 0.0 0.0 0.0 0.0 0.0 6.510417e-05 6.510417e-06 0.009895833 9.1145834e-05 7.8125e-05 9.1145834e-05 0.00037109375 0.00021484375 0.00039713542 0.00021484375 8.4635416e-05 7.161458e-05 9.765625e-05 0.00020833334 7.8125e-05 0.0007421875 0.00060546875 9.1145834e-05 0.0075390623 4.5572917e-05 0.00080729165 2.6041667e-05 0.0002734375 0.00014322916 0.0028971354 0.0014257813 0.0 0.0 0.0 0.0 0.0 0.0 0.00014973959 2.6041667e-05 0.03158203 0.0008203125 0.002936198 0.0013541667 0.0030403645 0.003001302 0.014186198 0.0070768227 0.00048828125 0.00015625 0.00015625 0.00024088542 0.0003515625 0.00020182291 0.0005403646 0.0005338542 0.023320312 0.00061197917 0.0014127605 0.0011979167 0.004830729 0.004264323 0.015878906 0.00860026 0.0009049479 0.00048828125 0.0004296875 0.00044270835 0.0005143229 0.0010091146 0.0007877604 0.0019726562 0.029915364 0.0011979167 0.004186198 0.0028645834 0.0076432293 0.0051302086 0.021386718 0.0126236975 0.00078125 0.0005598958 0.00030598958 0.0005338542 0.00041666668 0.00083984376 0.0013671875 0.0035807292 0.022571614 0.00070963544 0.00203125 0.0010286458 0.0032747395 0.0019466146 0.0070963544 0.0038476563 0.0012239583 0.00045572917 0.0005143229 0.0010872396 0.0010221354 0.0020898439 0.0021679688 0.002265625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016744792 0.0024804687 0.0016536459 0.00265625 0.003704427 0.004329427 0.0016992188 0.0038997396 0.008125 0.00036458333 0.00046875 0.0016731771 0.0031901042 0.0016015625 0.0041927085 0.009882812 0.07082682 0.01749349 0.008255208 0.013606771 0.035071615 0.035546876 0.016184896 0.02607422 0.050358072 0.003125 0.0035807292 0.014778646 0.026165364 0.009401042 0.020325521 0.06253906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 679.0 13.537556 9192.0 0.026327241 0.0005439513 0.0044604004 0.00010879025 0.0002175805 0.0046779807 0.000435161 0.0005439513 0.000870322 0.0018494343 0.0 0.00032637076 0.001305483 0.0032637075 0.008920801 0.0048955614 0.0036988687 0.0036988687 0.0036988687 0.0045691906 0.0010879026 0.0010879026 0.0016318538 0.0006527415 0.0009791122 0.0019582245 0.0038076588 0.0014142733 0.0025021757 0.002937337 0.0021758052 0.0020670148 0.0031549174 0.0151218455 0.0016318538 0.010879025 0.0071801567 0.01305483 0.00837685 0.0038076588 0.003046127 0.009791123 0.009138381 0.0021758052 0.005113142 0.0047867713 0.0057658833 0.0048955614 0.010987815 0.0021758052 0.009682332 0.024912968 0.012075718 0.01305483 0.010117494 0.008268059 0.003916449 0.0046779807 0.0006527415 0.000435161 0.009247172 0.0006527415 0.00076153176 0.0077241077 0.0006527415 0.059508268 0.0041340296 0.023933856 0.02991732 0.09105744 0.018820714 0.006962576 0.013272411 0.039817233 0.005983464 0.0036988687 0.036662314 0.016100958 0.040578764 0.044277634 0.02578329 0.0021758052 0.040034812 0.037967797 0.06766754 0.020017406 0.017950391 0.006962576 0.005983464 0.013272411 0.00076153176 0.00032637076 0.0006527415 0.00032637076 0.0005439513 0.0002175805 5.498573 1.0 10.0 7.0 2.0 77935.0 77824.0 1.0 0.0 179.0 0.0 1.0 0.0 0.0 0.0 1164794200.0 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 7.0 10.0 4.0 0.0 4.0 0.0 40960.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.35088 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.43237308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3837495 0.0 4.490064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13522.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1732.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37151.0 0.0 9664.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 -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 -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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 54580.0 9664.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 45808.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 53336.0 0.0 0.0 752.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.17826863 0.012026244 0.0075683594 0.0075780167 0.009866836 0.003154127 0.0023417412 0.002695977 0.007578403 0.00089196314 0.0008707167 0.0023201085 0.0075127324 0.0011326271 0.0018530737 0.0027056343 0.011559981 0.0030540756 0.0059115253 0.00063700613 0.006865296 0.013373266 0.0009908555 0.0005346371 0.0017503183 0.00036775612 0.00018271917 0.0004276324 0.0028195924 0.00089119055 0.00047901008 0.00016919873 0.005513638 0.00025959258 0.00023718725 0.00050798245 0.0026809112 0.00055511086 0.00021594083 0.00023332427 0.0015784155 0.00020435189 0.00028470196 0.00488204 0.002040042 0.0009255711 0.00442389 0.00092286704 0.0024653568 0.00055240677 0.00045969518 0.0014632986 0.0021246416 0.0005087551 0.00026577333 0.0002561159 0.0015309008 0.00038398066 0.00024066394 0.00090741506 0.0011662351 0.0005272974 0.0001506564 0.00014331673 0.020821873 0.0075826524 0.0019071555 0.0013586116 0.003464711 0.008112268 0.00076293945 0.00028663347 0.010940359 0.00068490714 0.00041372565 0.00040175038 0.0013821758 0.007439336 0.00037973138 0.0007795503 0.01722582 0.008607116 0.008855506 0.003739369 0.0020705597 0.0052034403 0.0031657158 0.0014953613 0.0011762788 0.00014447562 0.00019508072 0.0002765897 0.0013617021 0.0011967527 0.0010233046 0.00086414965 0.0030490537 0.0029520928 0.0007741421 0.001140353 0.0032136168 0.0032908765 0.0035636032 0.0021520688 0.01514908 0.002024204 0.009595654 0.001060003 0.0031919843 0.0011418982 0.00262992 0.0061575975 0.0018202383 0.0003704602 0.0020419736 0.00132539 0.0077951164 0.0017893345 0.00036968762 0.00028663347 0.002862858 0.00034380562 0.00018194657 0.00081084046 0.0009896966 0.005140087 0.00011550324 0.00017306171 0.0046912082 0.0011028821 0.00033801116 0.0053112176 0.0012840561 0.026370665 0.0001243881 0.00016842612 0.0011894129 0.013678056 0.00012207031 0.027145965 0.0012740123 0.034786563 0.000114344344 0.0001776973 0.0035330856 0.0018194658 0.0013485679 0.00017383431 0.0015212434 0.010099387 0.0002526392 0.00015142899 0.0019403772 0.00020357929 0.00010275539 0.00016224536 0.0013049162 0.00092904776 0.000106618376 0.00012863739 0.0013045298 0.00068336196 0.00025225288 9.425682e-05 0.0012825109 0.00010275539 0.000116275834 0.00011550324 0.0015374678 0.00020473819 0.00018542325 0.00015722348 0.0016367466 0.00020396558 0.0001491112 9.9665005e-05 0.001418488 0.00013945374 0.00011550324 0.00016494944 0.0017700195 0.00051918515 0.00011975252 0.00017151651 0.0020064341 0.0041221906 0.00041604345 0.00018233288 0.0013690417 0.045079097 0.00023409686 0.0004257009 0.0052590673 0.0059582675 0.0008259061 0.00068799756 0.0037907467 5.833107e-05 0.00028779235 0.010960446 0.0030332154 0.00023602835 0.00012863739 7.6873395e-05 0.0025182797 6.1035156e-05 9.541572e-05 0.00011357175 0.0021740878 9.734721e-05 0.00018812735 0.0019933 0.0020844664 5.794477e-05 0.0030046294 0.0036717667 0.002784053 0.00030672096 0.00015876867 0.0033476625 0.0028667208 0.00043419946 9.271163e-05 0.0003260359 0.00236067 0.004945779 0.0030413277 9.6574615e-05 0.0034929106 0.00022946128 0.00015799607 9.425682e-05 0.0027573984 0.00056592724 0.00010507318 0.00054043153 0.0031390612 0.00016301795 0.00027852118 0.00015529199 0.00070963026 8.6530854e-05 0.00024105023 0.00021632714 0.0012438811 0.00030903876 0.0006493677 0.0012589467 0.0021207784 0.0016108645 0.0013856526 0.0012821245 0.0020551078 0.0017155515 0.011097969 0.13836323 0.0031760503 0.0 1.3139345e-05 5.7967696e-07 1.7197084e-05 1.159354e-05 1.1207088e-05 4.6374157e-06 1.7583536e-05 7.5358007e-06 2.0868372e-05 0.008983834 3.2848363e-06 0.0 0.0 0.0 9.023638e-05 3.8645132e-07 8.328026e-05 2.3187079e-06 0.000100090896 8.946348e-05 7.8256395e-05 1.19799915e-05 0.0001008638 1.2173216e-05 3.516707e-05 0.012049746 8.501929e-06 1.9322566e-07 3.8645132e-07 1.9322566e-07 0.001141384 1.1400314e-05 0.00012617635 9.661284e-07 9.622638e-05 8.946348e-05 0.000121152494 9.854509e-06 0.00012772216 8.888381e-06 2.5505788e-05 0.007605942 7.5358007e-06 0.0 0.0 0.00012521022 0.014462168 0.00013216636 0.00019940888 3.7292553e-05 0.00013622409 0.00014704473 0.00013062055 5.0238672e-05 0.0005311773 1.603773e-05 2.9370301e-05 0.0037534086 3.69061e-05 4.4441904e-06 1.3912248e-05 0.0016887923 0.0070844255 5.4876087e-05 3.3234814e-05 0.00027805174 0.00037775617 1.9902243e-05 4.5601257e-05 2.9949977e-05 4.8692866e-05 6.685608e-05 0.00012057281 1.1786766e-05 1.912934e-05 1.1013863e-05 0.00015458053 0.0003495452 0.005024833 5.8933827e-05 4.811319e-05 8.579219e-05 0.0002656853 6.47306e-05 0.00020056823 0.00010279605 9.023638e-05 6.994769e-05 7.187995e-05 0.0005700157 2.9370301e-05 1.4105473e-05 5.429641e-05 0.0003717662 0.00903272 0.00020945662 0.00017564213 0.00014646506 0.00048306416 0.00012540346 0.0006898156 0.00029718108 0.00012830184 0.00012443733 9.1009286e-05 0.0006281766 9.873832e-05 3.342804e-05 7.535801e-05 0.0007197656 0.01758199 0.0003735052 0.0010382015 0.00063880405 0.0012130707 0.00041872 0.0041201506 0.0017971919 0.00015612633 0.00012617635 9.526025e-05 0.0001325528 0.00011342346 6.0286406e-05 0.00014646506 0.00048035898 0.020974452 0.0004720503 0.0017260849 0.0009813932 0.0022184239 0.0008426571 0.004916627 0.0022590011 0.00035495555 0.00018105244 0.00017892696 0.00079009973 0.00023534885 8.791767e-05 0.00021950435 0.0011554895 0.01150369 0.00038065456 0.0031497716 0.00050393253 0.0013344164 0.0006349395 0.0040674 0.0011800291 0.0005619002 0.00032403943 0.00041215034 0.004968991 0.00038451908 0.00012675603 0.00019283922 0.00074488495 0.008633129 0.0005686631 0.0035155476 0.00060653535 0.0013763465 0.0010003293 0.004898464 0.0014004996 0.0007487494 0.00024790852 0.0004691519 0.0063144215 0.0003418162 7.4971555e-05 0.00012617635 0.0005439302 0.009511533 0.001406876 0.0023100127 0.00092671026 0.0014638776 0.001417117 0.003928471 0.0015987491 0.0014468738 0.00041504874 0.00019148663 0.00088961096 0.00034239588 0.00019689694 0.00037369842 0.0024686512 0.049258824 0.013392277 0.0060439054 0.0020820065 0.016230376 0.009668626 0.010108214 0.0049686045 0.036520038 0.007022014 0.0010658328 0.0034378709 0.011863476 0.0049863816 0.006241189 0.06285631 0.06768289 0.02361005 0.0054479977 0.004192417 0.028505616 0.027517846 0.01917069 0.009167012 0.05755207 0.010565965 0.0030116152 0.0053821076 0.015376125 0.011832946 0.009339176 0.07798105 0.022226362 0.008993495 0.0011796426 0.00226731 0.012521602 0.014202473 0.008215569 0.003139144 0.019058427 0.0041696164 0.0018551596 0.0023275963 0.0048410757 0.0057988954 0.0048283227 0.014569215 0.00072189106 0.00036500327 0.00037736972 0.0003999771 0.00040094325 0.00037137972 0.00040075002 0.00040596712 0.00047997254 0.00042896098 0.00045465998 0.00042954064 0.00040171616 0.0003682881 0.00036577618 0.00035514878 8540.0 10.182319 86957.0 0.08147705 0.0002184988 0.00013799925 0.0003794979 0.00016099912 0.00022999874 0.0008969951 0.00016099912 0.0058764676 0.0008164955 8.049956e-05 0.00022999874 0.0055659693 0.0014374921 0.003840979 0.00066699635 0.005588969 0.00547397 0.005278471 0.002541486 0.0024379867 0.0011269938 0.002150488 0.0014834919 0.0017479904 0.0008164955 0.0010234944 0.00017249906 0.00013799925 5.7499685e-05 3.449981e-05 0.00014949917 0.024816863 0.04004278 0.006704463 0.009199949 0.0115804365 0.006474464 0.007831457 0.0015409915 0.003265982 0.0059799673 0.0011499936 0.00024149867 0.0048644734 0.011373437 0.003093483 0.005071472 0.008245455 0.0013569925 0.007566958 0.018733397 0.019135894 0.002173488 0.006393965 0.001448992 0.00035649803 0.00022999874 0.0002184988 0.00014949917 0.0004944973 0.00020699885 6.899962e-05 0.008233955 0.0003794979 0.055820692 0.017226905 0.0155249145 0.024517866 0.058661178 0.008337454 0.0060834666 0.06012167 0.037443794 0.030670332 0.026484353 0.040882275 0.014144923 0.02903734 0.049323227 0.010154444 0.0010464942 0.04026128 0.02349437 0.05062272 0.016674908 0.006738963 0.00546247 0.010430442 0.0052094716 0.0012074934 0.00022999874 0.0005979967 0.0008969951 0.0002759985 0.0013914923 5.305592 9.0 0.0 0.0 1.0 2588672.0 2629632.0 0.0 0.0 131.0 0.0 1.0 0.0 0.0 0.0 1106929500.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 2576384.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2576384.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7783256 0.0 3.9086115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2573672.0 0.0 1560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 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 1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2574900.0 1560.0 2625536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 680.0 700.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.19946289 0.0075683594 0.0057373047 0.0037841797 0.0072021484 0.003540039 0.0032958984 0.0026855469 0.018066406 0.0010986328 0.0014648438 0.0018310547 0.0063476562 0.0025634766 0.0014648438 0.010864258 0.0057373047 0.0015869141 0.0013427734 0.0015869141 0.0031738281 0.010986328 0.0010986328 0.00061035156 0.0025634766 0.0020751953 0.002319336 0.0012207031 0.0009765625 0.0008544922 0.0013427734 0.00048828125 0.004638672 0.0007324219 0.0009765625 0.001953125 0.0030517578 0.00048828125 0.00036621094 0.00036621094 0.00061035156 0.00024414062 0.00048828125 0.0012207031 0.0008544922 0.0020751953 0.0041503906 0.00024414062 0.0028076172 0.0009765625 0.00036621094 0.0078125 0.0015869141 0.002319336 0.0007324219 0.00036621094 0.0026855469 0.006713867 0.0014648438 0.0076904297 0.0014648438 0.001953125 0.0008544922 0.00036621094 0.028198242 0.0036621094 0.0015869141 0.00048828125 0.003540039 0.01977539 0.0034179688 0.0075683594 0.0021972656 0.0008544922 0.0007324219 0.0012207031 0.0025634766 0.006225586 0.0009765625 0.0008544922 0.014892578 0.0040283203 0.0015869141 0.008300781 0.0009765625 0.0026855469 0.011962891 0.008422852 0.0010986328 0.0063476562 0.0007324219 0.0009765625 0.00036621094 0.0056152344 0.0015869141 0.0008544922 0.0009765625 0.0009765625 0.00061035156 0.0007324219 0.0009765625 0.0009765625 0.0036621094 0.0007324219 0.013549805 0.0017089844 0.013305664 0.00061035156 0.00061035156 0.00048828125 0.0008544922 0.00061035156 0.0014648438 0.00024414062 0.0017089844 0.0012207031 0.010986328 0.021972656 0.00048828125 0.00024414062 0.0008544922 0.00048828125 0.00048828125 0.00012207031 0.0010986328 0.003540039 0.0008544922 0.0008544922 0.007080078 0.004272461 0.0034179688 0.0107421875 0.00390625 0.008911133 0.0008544922 0.0012207031 0.0021972656 0.014160156 0.0015869141 0.024169922 0.0020751953 0.006713867 0.0007324219 0.0009765625 0.0007324219 0.00024414062 0.00048828125 0.00036621094 0.0013427734 0.00012207031 0.00012207031 0.00012207031 0.0007324219 0.0008544922 0.00012207031 0.0007324219 0.00048828125 0.00024414062 0.00012207031 0.00012207031 0.0010986328 0.0026855469 0.00024414062 0.0007324219 0.0014648438 0.00036621094 0.0 0.00012207031 0.0008544922 0.00024414062 0.0 0.00048828125 0.0008544922 0.0009765625 0.00024414062 0.0010986328 0.0045166016 0.00012207031 0.00036621094 0.00036621094 0.0008544922 0.00024414062 0.0010986328 0.0009765625 0.0020751953 0.00061035156 0.00048828125 0.00024414062 0.0028076172 0.0 0.0009765625 0.0021972656 0.011474609 0.0030517578 0.0025634766 0.0028076172 0.0037841797 0.00048828125 0.0014648438 0.0036621094 0.0026855469 0.0036621094 0.00048828125 0.0007324219 0.0025634766 0.00048828125 0.0007324219 0.00024414062 0.0034179688 0.00024414062 0.00036621094 0.0010986328 0.0021972656 0.00036621094 0.0012207031 0.00024414062 0.00390625 0.00048828125 0.00048828125 0.00036621094 0.0032958984 0.00024414062 0.00024414062 0.0009765625 0.0020751953 0.0010986328 0.0008544922 0.00036621094 0.0029296875 0.00036621094 0.00048828125 0.00061035156 0.03137207 0.010375977 0.0007324219 0.0073242188 0.0053710938 0.0009765625 0.00048828125 0.0014648438 0.010375977 0.0015869141 0.0017089844 0.0018310547 0.0045166016 0.0008544922 0.0032958984 0.003540039 0.009155273 0.0021972656 0.0015869141 0.0025634766 0.0057373047 0.0014648438 0.0014648438 0.071899414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06968471 0.005301339 0.0043945312 0.0043945312 0.009835379 0.0057896203 0.0047433036 0.006487165 0.00920759 0.000906808 0.0018833706 0.0024414062 0.0047433036 0.001813616 0.00390625 0.0073242188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17752512 0.032854352 0.018484933 0.036132812 0.0788923 0.068359375 0.036132812 0.041364398 0.08816964 0.006417411 0.010253906 0.015206473 0.038783483 0.01890346 0.06626674 0.123395644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 8.5 102.0 0.078431375 0.009803922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.068627454 0.0 0.0 0.0 0.0 0.0 0.0 0.009803922 0.009803922 0.0 0.009803922 0.019607844 0.0 0.0 0.0 0.0 0.0 0.0 0.04901961 0.0 0.0 0.0 0.009803922 0.0 0.0 0.0 0.009803922 0.0 0.0 0.0 0.0 0.0 0.0 0.009803922 0.009803922 0.0 0.009803922 0.019607844 0.009803922 0.0 0.019607844 0.019607844 0.0 0.009803922 0.0 0.0 0.0 0.009803922 0.0 0.0 0.009803922 0.078431375 0.009803922 0.039215688 0.039215688 0.039215688 0.0 0.009803922 0.039215688 0.029411765 0.0 0.0 0.009803922 0.019607844 0.04901961 0.039215688 0.009803922 0.0 0.068627454 0.029411765 0.068627454 0.009803922 0.0 0.0 0.009803922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.812783 0.0 0.0 0.0 1.0 8192.0 1228800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1330111200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28672.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.39527 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -724992.0 -3978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10898.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28432.0 0.0 26128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 39780.0 26128.0 1196032.0 0.0 0.0 6056.0 3880528.0 2488.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.1260795 0.01108337 0.004594988 0.010618559 0.0069512953 0.0055075358 0.0035363578 0.0038152442 0.012117337 0.0024758298 0.002195046 0.0017776648 0.0075489096 0.0023430267 0.0017340295 0.008385569 0.007199827 0.0014646288 0.0014722176 0.0015727686 0.004650007 0.0024796242 0.0013033679 0.0015215444 0.0035420493 0.0016562447 0.0012142 0.0013128538 0.0028400898 0.0012369663 0.001011201 0.0013299285 0.004638624 0.001284396 0.0016979829 0.0012995735 0.014433803 0.0022026347 0.0010757054 0.0013470032 0.0023335407 0.001223686 0.001071911 0.005771245 0.001992047 0.0014930867 0.0015196473 0.001041556 0.0040315236 0.002881828 0.002720567 0.0064049056 0.0031474342 0.00391959 0.0023790733 0.002902697 0.0033295644 0.0030715468 0.0020660374 0.004915613 0.0026807261 0.0021703825 0.0022026347 0.002164691 0.004278158 0.0022937 0.0018687298 0.0021191586 0.0088636605 0.020222122 0.0077519086 0.006919043 0.0027053896 0.001445657 0.0015386192 0.0012179945 0.004185196 0.0078183105 0.001487395 0.0015348247 0.007643769 0.0029406408 0.0017036744 0.002984276 0.0025858667 0.004792296 0.0037981695 0.0034092462 0.0024910073 0.004130177 0.001324237 0.001982561 0.0029596128 0.004638624 0.0030222198 0.0021419248 0.0024227086 0.0020167104 0.0012559382 0.0016733195 0.0030620608 0.0035553295 0.0028192208 0.0013014707 0.0035837875 0.0018345804 0.00569346 0.0027091838 0.0024321945 0.001384947 0.0016334786 0.0019465145 0.002519465 0.0011098548 0.0026921092 0.002225401 0.008912987 0.008700502 0.001800431 0.0014722176 0.0024094284 0.0013868441 0.0010206869 0.0013394145 0.002286111 0.0025839696 0.0018156086 0.0017131604 0.0035439464 0.0018554495 0.0012976764 0.010599587 0.003659675 0.012604915 0.0012806016 0.0011686676 0.0022633448 0.013249958 0.0015917404 0.031961918 0.0017017773 0.0120205805 0.0012104057 0.0011515929 0.0019275426 0.0011288266 0.0010870885 0.0015955347 0.001618301 0.0019692807 0.0010282757 0.0011288266 0.0017055717 0.0014779092 0.0010036123 0.00097515446 0.0016239926 0.0021229528 0.0011819479 0.0013489004 0.0020698316 0.0016391701 0.0009163416 0.0015215444 0.0015310304 0.001445657 0.0010548363 0.00096946285 0.0019673835 0.00097515446 0.0010491448 0.001142107 0.0015329276 0.0009125472 0.00096946285 0.002851473 0.0016847026 0.000990332 0.0010832942 0.0010662194 0.002286111 0.0023392322 0.0022424757 0.001557591 0.0031170791 0.0012255831 0.0010567335 0.0011667704 0.001963589 0.0019939442 0.001324237 0.0011648732 0.0070556407 0.005744684 0.0036862355 0.0037165906 0.003145537 0.0012009197 0.0037071046 0.0059211226 0.0047885017 0.0029463323 0.0017245435 0.0013830498 0.0025004933 0.0011345182 0.001618301 0.0013337228 0.0025156708 0.0018042254 0.0018269917 0.0016012264 0.0023885593 0.0011383125 0.0017378238 0.0012047142 0.0031227707 0.0014418626 0.0011819479 0.0016220954 0.009279145 0.009100809 0.002720567 0.0018099169 0.0036767495 0.0013507976 0.0012255831 0.0011667704 0.003559124 0.0015082641 0.0011781536 0.0011269294 0.013430191 0.005257107 0.0013375173 0.003984094 0.0056896657 0.0010984716 0.0012407607 0.0013375173 0.0047771186 0.0017833563 0.001557591 0.0015443107 0.0037773005 0.0015329276 0.0029994536 0.0025042878 0.005938197 0.005746581 0.0015784601 0.0036976186 0.008558214 0.004845417 0.008402644 0.06949019 0.009746589 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0067179124 8.375975e-05 6.091618e-05 6.377162e-05 0.0002055921 0.00025223105 6.186799e-05 6.9482514e-05 5.6157103e-05 2.6650829e-05 3.616898e-05 2.5699013e-05 3.8072612e-05 2.5699013e-05 2.7602644e-05 4.5687135e-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 0.018221552 0.0007205242 0.0005910773 0.000484474 0.0017256412 0.0002360502 0.0001741822 0.00015038681 0.00014372412 0.0003721598 0.0001313505 0.00012849507 0.00013991685 0.00013896503 0.00012468781 0.0018579435 0.006550393 0.00028840004 0.00033408718 0.00016942312 0.0006158245 9.422971e-05 0.00050922116 0.00024937562 4.473532e-05 9.803697e-05 4.1879874e-05 4.092806e-05 5.5205288e-05 4.9494396e-05 3.1409905e-05 0.00057394465 0.005933617 0.00031409904 0.00028173733 0.00016561586 0.0005539565 0.00016656768 0.0005158839 0.0002922073 0.00016466404 9.042245e-05 8.566338e-05 7.9952486e-05 9.518153e-05 0.00011612147 7.233796e-05 0.0008185612 0.0076925713 0.00021130299 0.00045782316 0.0003293281 0.0011812028 0.0006843552 0.003288522 0.0017770391 0.00021225482 0.00014562774 0.00015038681 0.00016942312 0.00019797758 0.0002236766 0.0003417017 0.00048066673 0.010216786 0.0003045809 0.0004968476 0.00050636573 0.0017075567 0.00046163044 0.0017132675 0.0011221903 0.00040642513 0.00030172546 0.00039690698 0.00047685948 0.00061487267 0.00048828125 0.00054919743 0.0016790022 0.012125175 0.0013506259 0.001385843 0.01653684 0.0023738274 0.0014991091 0.0015267117 0.0017656174 0.002190127 0.0016561586 0.0015914352 0.0016618695 0.0019236187 0.0020939936 0.0020026194 0.0048466437 0.015903883 0.0013572886 0.0019150524 0.0025689495 0.0040623476 0.003220943 0.0029334947 0.0028782894 0.012841892 0.0018903052 0.0012297453 0.0023452728 0.0036530672 0.0040433113 0.004424989 0.026349103 0.049537227 0.008031418 0.009635226 0.008253191 0.023341367 0.015524108 0.007620233 0.011181926 0.036190875 0.003163834 0.003267582 0.005221659 0.015915304 0.011648316 0.013906022 0.046567563 0.053055137 0.012227019 0.018161587 0.011118155 0.029066537 0.019203825 0.009678058 0.0132454615 0.037257858 0.0030477126 0.004354555 0.0047038714 0.017875092 0.014420002 0.015339456 0.03354197 0.014657004 0.010867828 0.011088648 0.010794537 0.011420832 0.011230469 0.011149565 0.011222854 0.011863426 0.012096621 0.011245698 0.011399892 0.011156227 0.011311373 0.011407507 0.012272706 1895.0 10.280211 19481.0 0.020943483 0.003849905 0.0050305426 0.004517222 0.014116319 0.0035419127 0.0041065654 0.007545814 0.006827165 0.003849905 0.0039525693 0.004517222 0.00595452 0.0048765466 0.0067758327 0.0048252144 0.020584159 0.016939582 0.015758945 0.016528925 0.01740157 0.018274216 0.01663159 0.019454854 0.02012217 0.015604949 0.016528925 0.018171553 0.0176069 0.012217032 0.012781684 0.012319696 0.0073404857 0.009034444 0.0042605614 0.010779734 0.011036394 0.009034444 0.0073404857 0.0073404857 0.0085724555 0.005235871 0.003798573 0.0048765466 0.009342437 0.006878497 0.004773882 0.007751142 0.013808326 0.005338535 0.008418459 0.010574406 0.011498383 0.0049278783 0.008521123 0.011344387 0.007391818 0.0050305426 0.003798573 0.0046712183 0.0067245006 0.0042092297 0.006159848 0.0063651763 0.008007802 0.018274216 0.0072378214 0.017298907 0.016682921 0.037369747 0.008264462 0.0074944817 0.010882398 0.018017555 0.008213131 0.004414558 0.019557517 0.008007802 0.017298907 0.023510087 0.009291104 0.004517222 0.025204046 0.017863559 0.03624044 0.012011704 0.0064165085 0.0060571837 0.009034444 0.006878497 0.0041578976 0.0034905805 0.007597146 0.0032339203 0.0051845387 0.0039525693 6.323187 0.0 9.0 0.0 5.0 527096.0 540672.0 0.0 0.0 198.0 1.0 1.0 1.0 0.0 0.0 1539360100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 332288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -332288.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6773534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.306452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9614012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5644064 0.0 5.529214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23662.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -331939.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 473348.0 16064.0 499712.0 0.0 0.0 5984.0 521112.0 17504.0 516096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 457224.0 0.0 0.0 820.0 339968.0 0.0 0.0 0.0 0.0


Input: 0.1745692 0.015373241 0.020470131 0.008377062 0.011058457 0.0033007634 0.0028311394 0.0030658515 0.012933755 0.0020604283 0.0022605532 0.0018535057 0.0049513453 0.0016019999 0.0013610901 0.005294217 0.00856899 0.0014604529 0.0018371118 0.00091305794 0.0030052743 0.0017605405 0.0009544425 0.00094364653 0.0027167823 0.00058877945 0.0007573163 0.0008210924 0.0018081227 0.0006155694 0.0005230041 0.00078090746 0.0030420604 0.00064155966 0.0007285271 0.0006481572 0.0051756613 0.0010016247 0.0005701864 0.0006279648 0.00146825 0.0005094092 0.0005591905 0.0012251411 0.0014730482 0.00095364277 0.0025430473 0.0005675874 0.0028303398 0.0007083347 0.00074432115 0.006943399 0.0011469703 0.00064295914 0.00062736496 0.00051860575 0.001743147 0.00052980153 0.00067974534 0.0023851066 0.0018157199 0.00079730136 0.0008984634 0.0005240037 0.013618498 0.0030034748 0.0033207561 0.0063090366 0.0048855697 0.020230021 0.0040001017 0.001989055 0.0032845696 0.0031192314 0.0018960898 0.0017373492 0.0031078358 0.0041070613 0.0025596411 0.0023137333 0.007629342 0.0024620777 0.0030258666 0.009627393 0.004973737 0.009577013 0.0052758236 0.005043511 0.0018764971 0.0048941667 0.0024058986 0.0041968278 0.0014712489 0.0035200813 0.0032311897 0.0023399235 0.001676372 0.007844461 0.0014964395 0.004046284 0.008958245 0.016588986 0.005597703 0.002304137 0.005902189 0.0066031264 0.003037862 0.0015060358 0.007786483 0.0037286032 0.007881448 0.007844661 0.003809373 0.0013768842 0.00830089 0.0070833466 0.016587187 0.0072376886 0.0017021623 0.0019010878 0.0031666139 0.0028169448 0.00091945555 0.0010873927 0.0021581915 0.0024330886 0.0015122335 0.0012047488 0.006615322 0.0010132204 0.00081349525 0.008537401 0.0037090105 0.004366564 0.00083188835 0.00069693895 0.0019340755 0.010949498 0.001204149 0.051110655 0.0012891172 0.008158544 0.00043603667 0.0005877798 0.002805549 0.0005565915 0.00075711636 0.0007005376 0.0009350497 0.0008438839 0.00040904677 0.00034766976 0.0010945899 0.0004276398 0.00032367875 0.0006879423 0.002821343 0.0004148446 0.00042723995 0.00034307147 0.0011923533 0.0019640643 0.00034746985 0.0005234039 0.0013348999 0.00075151847 0.00029588916 0.0002692991 0.0010552048 0.00030728488 0.0003190805 0.0003206799 0.0018343129 0.00054799474 0.0010186185 0.0003600651 0.003003275 0.00245588 0.0015344252 0.00054199697 0.0011601654 0.000488617 0.0015666131 0.0011869554 0.0031548182 0.0013109089 0.0017639393 0.0007999003 0.00114797 0.000576584 0.0008806701 0.0007013373 0.00936969 0.00098783 0.0017579414 0.009597205 0.0035752608 0.00068594306 0.0038289656 0.0024500822 0.0019080852 0.0015302268 0.0010176188 0.0007623144 0.0020908169 0.0006363616 0.0008640763 0.0006943399 0.0025768348 0.0008098966 0.0024264911 0.0012405353 0.0018595034 0.00061456976 0.0014564544 0.0008150947 0.0041214563 0.000982232 0.0011647637 0.0017603405 0.0015620149 0.0007953021 0.0010082223 0.0011815574 0.00208202 0.00067454734 0.0023629148 0.0006185683 0.0019390737 0.0012021497 0.00052660273 0.00057358516 0.020840393 0.0031470212 0.00084608304 0.004839187 0.0043439725 0.0006703489 0.0006921407 0.0006155694 0.0053324024 0.0010737977 0.0015524185 0.00095524214 0.005024318 0.0004864178 0.0017813327 0.0009540426 0.006676299 0.001128977 0.001241535 0.0013834818 0.009668778 0.0012595282 0.0022403607 0.04444775 0.0008120688 3.4998657e-06 1.5999385e-06 1.9999231e-07 0.00020499213 1.9999231e-07 1.9999231e-07 1.9999231e-07 1.9999231e-07 1.9999231e-07 9.999616e-08 9.999616e-08 9.999616e-08 9.999616e-08 9.999616e-08 9.999616e-08 0.00037468562 3.359871e-05 1.2999501e-06 1.4999424e-05 0.00018959271 0.0 1.9999231e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053467945 6.529749e-05 6.999731e-07 7.9996926e-07 1.3999462e-06 3.9998463e-07 3.9998463e-07 5.9997694e-07 3.9998463e-07 7.9996926e-07 3.9998463e-07 3.5998617e-06 3.9998463e-07 4.999808e-07 3.9998463e-07 3.5998617e-06 0.00024689053 0.00016269376 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001665936 2.5999002e-06 1.1999539e-06 2.3999078e-06 6.199762e-06 7.9996926e-07 1.9999231e-07 3.9998463e-07 6.999731e-07 5.9997694e-07 2.9998847e-07 1.0199608e-05 5.9997694e-07 5.9997694e-07 8.999654e-07 1.0499597e-05 0.00031548788 6.549749e-05 1.38994665e-05 1.0799586e-05 0.0001640937 3.4998657e-06 1.2999501e-06 4.999808e-07 2.1999156e-06 5.9997694e-07 2.9998847e-07 1.3299489e-05 3.9998463e-06 1.0999578e-06 4.5998236e-06 1.3199493e-05 0.00074627134 1.3199493e-05 1.3099497e-05 1.9199262e-05 7.1397255e-05 9.7996235e-06 1.899927e-06 3.799854e-06 8.299681e-06 5.399793e-06 1.5999385e-06 5.72978e-05 3.4998657e-06 2.499904e-06 5.8997734e-06 6.0797665e-05 0.00087426644 7.199724e-05 2.2099151e-05 3.4498677e-05 0.0002913888 8.949656e-05 0.0012577517 0.00063167576 7.9996926e-07 3.9998463e-07 3.9998463e-07 4.0998424e-05 1.1999539e-06 3.199877e-06 1.0999578e-06 0.00016019384 0.006742741 0.00018669284 0.00037698552 0.0005067805 0.00072167226 0.00047798164 0.002917388 0.0016687359 5.8997734e-06 5.399793e-06 1.899927e-06 0.00026528983 6.099766e-06 3.199877e-06 6.099766e-06 0.0010569594 0.013010801 0.0007448714 0.00037338567 0.0004738818 0.0023779087 0.001327549 0.0058506755 0.0025410024 0.00015139418 0.00031428793 0.00011229569 0.00022819123 0.00012119535 0.00016259376 0.00015579401 0.00052028004 0.042567365 0.002578101 0.0014007462 0.0012795508 0.009172548 0.0049121114 0.01876738 0.00911525 0.001953325 0.0010353603 0.000885266 0.0011257568 0.0007651706 0.00078107003 0.0006744741 0.0029250877 0.06611766 0.004237837 0.00365006 0.0024955042 0.01589029 0.009602131 0.029512167 0.01641137 0.0038661514 0.0020985194 0.0024664053 0.003435068 0.0022046154 0.002056421 0.0016951349 0.005262098 0.026183594 0.002027522 0.0018938272 0.0014386447 0.006622146 0.004480328 0.010900881 0.0073336186 0.0036306605 0.0011756548 0.0012086536 0.001875028 0.0017797317 0.0013363487 0.0017778317 0.0037469561 0.04840824 0.006411554 0.0046801204 0.0056109848 0.01770662 0.015995786 0.009162548 0.009883321 0.034476075 0.00338977 0.0024912043 0.006047268 0.011328865 0.0060833665 0.013416785 0.026082998 0.06417584 0.011436061 0.009294143 0.011637653 0.0260373 0.03462957 0.014428646 0.015695397 0.05809237 0.005862775 0.005262298 0.009152949 0.02552482 0.013922566 0.028206816 0.04530146 5.8397756e-05 1.6599362e-05 1.1499558e-05 1.29995005e-05 2.6198994e-05 3.3298722e-05 1.9699244e-05 1.9999232e-05 5.3197957e-05 6.399754e-06 1.1599554e-05 1.38994665e-05 2.059921e-05 2.6398986e-05 3.099881e-05 4.7798163e-05 53375.0 11.630145 620759.0 0.00062987406 0.00084734976 0.00015142752 0.0002271413 0.0024663357 0.00020136639 0.00057671336 0.0002432506 0.0005589931 0.00014337288 0.00027063643 0.0003205753 0.001287134 0.00042367488 0.015047708 0.00010309959 0.00062504126 0.0008795684 0.00091178704 0.00082318584 0.00041562022 0.00038823442 0.00064276153 0.00019008988 0.0008908449 0.0002851348 0.00030929878 0.00064759434 0.0040788776 0.0009987773 0.0036407043 8.537935e-05 0.0013998991 0.01269736 0.0076213153 0.023103975 0.013755741 0.009317625 0.014685248 0.005374066 0.010446888 0.01487856 0.00026580362 0.0015078315 0.0068915635 0.006806184 0.0046861987 0.00972358 0.008678086 0.0027901328 0.0073748427 0.020776179 0.022445103 0.003979 0.00873608 0.00365037 0.00072975183 0.0042045303 0.0011324846 0.0034731675 0.00034796112 0.003155814 0.0034780004 0.0050889314 0.0006411506 0.052674226 0.0062407474 0.024260623 0.0260552 0.10486195 0.00885851 0.012879394 0.011110592 0.04200825 0.0012339732 0.0052935197 0.038245115 0.023439048 0.05605235 0.053349208 0.015184637 0.0004720028 0.05382282 0.044203952 0.07743746 0.019176524 0.005356346 0.006086098 0.009109816 0.016542653 0.0015819344 0.00022875222 0.0006508162 0.0001288745 0.00021425384 8.537935e-05 5.2244487 0.0 0.0 0.0 3.0 5001873.0 50032640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1435857900.0 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 3.0 -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 5.0 0.0 5.0 0.0 27143168.0 1024.0 4096.0 11.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -2174976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -55808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -266240.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -27087360.0 -32256.0 20258816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.481073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -292.0 0.0 0.0 -2174552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -55676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 129584.0 0.0 0.0 -266120.0 0.0 0.0 0.0 0.0 0.0 98.0 0.0 0.0 -27086972.0 -31860.0 20258816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98.0 27590656.0 31860.0 27549696.0 20258816.0 29773824.0 0.0 0.0 0.0 0.0 2169440.0 27602944.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 27598848.0 0.0 0.0 0.0 0.0 4816.0 27555372.0 5112.0 27582464.0 0.0 0.0