Input: 0.223117 0.0041866987 0.0013321314 0.0011919071 0.0025240385 0.00051081734 0.008343349 0.0003505609 0.0018529647 0.00036057693 0.041416265 0.0004707532 0.0014122596 0.000390625 0.0003505609 0.0017728365 0.0020733173 0.00030048078 0.0003505609 0.0004306891 0.0012920673 0.0018129006 0.0003104968 0.0003104968 0.001151843 0.0002704327 0.00030048078 0.00021033654 0.00075120194 0.00038060898 0.00025040066 0.00025040066 0.0010616988 0.0002704327 0.00019030449 0.00018028847 0.0064503206 0.0009014423 0.00022035257 0.00020032052 0.0006911058 0.00023036859 0.00019030449 0.00032051283 0.0003505609 0.000771234 0.0006209936 0.00029046476 0.0006610577 0.0005408654 0.0007411859 0.001161859 0.0009815706 0.00091145834 0.00032051283 0.00045072116 0.00048076923 0.00051081734 0.000390625 0.0006109776 0.00038060898 0.0006911058 0.00030048078 0.00023036859 0.0018830128 0.004607372 0.00056089746 0.0005008013 0.0029346955 0.0008213141 0.00079126604 0.0008513622 0.00056089746 0.00064102566 0.00021033654 0.00029046476 0.0016025641 0.000390625 0.00040064103 0.00055088144 0.0044471156 0.0015825321 0.0013621795 0.010506811 0.0012419872 0.0011117789 0.015364584 0.009555289 0.00032051283 0.00034054488 0.00018028847 0.00075120194 0.00059094554 0.0005709135 0.00096153846 0.0008112981 0.00044070513 0.0012419872 0.00079126604 0.001141827 0.0013721955 0.0028846154 0.00096153846 0.00056089746 0.0017728365 0.0013421475 0.16652644 0.00041065706 0.0013321314 0.00041065706 0.0012520032 0.0012920673 0.0011017629 0.0002704327 0.0013621795 0.0013020834 0.05121194 0.0011818911 0.00024038462 0.00046073718 0.00052083336 0.0004306891 0.00017027244 0.00015024039 0.00087139424 0.00038060898 0.00032051283 0.00018028847 0.0005408654 0.0007011218 0.00020032052 0.0024839744 0.0016726763 0.050480768 0.00026041668 0.00016025642 0.00052083336 0.0018930288 0.00079126604 0.007071314 0.0004306891 0.002373798 0.0002704327 0.00017027244 0.00038060898 0.00017027244 0.00013020834 0.00018028847 0.0004306891 0.00030048078 0.00019030449 0.00021033654 0.00022035257 0.00042067308 0.00023036859 0.0002704327 0.0003104968 0.00012019231 0.0003104968 0.00021033654 0.00032051283 0.00041065706 0.00017027244 0.00041065706 0.00034054488 0.00019030449 0.00021033654 0.00013020834 0.00033052886 0.00026041668 0.00026041668 0.00040064103 0.00026041668 0.00024038462 0.00014022437 0.00028044873 0.00024038462 0.00013020834 0.00013020834 0.0002704327 0.00030048078 0.00025040066 0.00038060898 0.00026041668 0.0004306891 0.00041065706 0.0003505609 0.00026041668 0.00042067308 0.000390625 0.0002704327 0.00020032052 0.05058093 0.0010717148 0.00056089746 0.0012019231 0.0015925481 0.00016025642 0.00056089746 0.0007011218 0.00042067308 0.00036057693 0.00033052886 0.00020032052 0.006179888 0.00033052886 0.00041065706 0.00025040066 0.00046073718 0.0002704327 0.00034054488 0.022145433 0.00012019231 0.015985576 0.038010817 0.022596154 0.00032051283 0.00026041668 0.00024038462 0.0003505609 0.0005809295 0.00020032052 0.00019030449 0.00020032052 0.0008112981 0.00038060898 0.00028044873 0.00025040066 0.000390625 0.00015024039 0.00033052886 0.00013020834 0.0019831732 0.00045072116 0.00023036859 0.0005809295 0.00067107374 0.00026041668 0.00022035257 0.00023036859 0.00063100964 0.00028044873 0.00034054488 0.00046073718 0.0003104968 0.00019030449 0.0003505609 0.00059094554 0.000771234 0.0003505609 0.00026041668 0.00037059296 0.00038060898 0.000390625 0.0004306891 0.10266426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007385254 6.612142e-05 0.00011698405 2.0345053e-05 0.0004526774 0.00030517578 0.0010732015 0.00055440265 4.0690105e-05 3.0517578e-05 3.0517578e-05 0.00012715657 5.5948894e-05 2.0345053e-05 3.560384e-05 0.00010172526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016199747 0.0002187093 0.00036112466 0.00035095215 0.0018463135 0.0007171631 0.005259196 0.0023498535 0.0007527669 9.6639e-05 0.00022379558 0.00011189779 0.00069681805 0.000869751 0.00015258789 0.001042684 0.04366048 0.0005493164 0.00064086914 0.00023905437 0.00079345703 0.0024261475 0.029790243 0.0079193115 0.008946736 0.00011698405 6.1035156e-05 0.00018819173 0.008331299 0.015365601 0.000386556 0.016001383 0.15529378 0.0036671956 0.0048268638 0.0028483074 0.006413778 0.014897664 0.11429342 0.031636555 0.037663776 0.00053914386 0.0006612142 0.0008036296 0.035288494 0.05873108 0.002110799 0.0615743 0.042683918 0.0019378662 0.0027974446 0.0012715658 0.0032043457 0.026692709 0.024749756 0.012720744 0.01667277 0.00034586588 0.000386556 0.0003306071 0.014602661 0.023249308 0.001256307 0.025014242 0.010879517 0.0013173422 0.00097147626 0.00065612793 0.0017344157 0.002339681 0.0047810874 0.0018870035 0.004521688 0.00039164224 0.0002644857 0.00047810873 0.004094442 0.0027364094 0.00091552734 0.0036977131 0.0031585693 0.00071207684 0.0012868246 0.0020039876 0.0010325114 0.0010579427 0.003423055 0.0015920004 0.0007527669 0.0007375081 0.0007425944 0.0007527669 0.0009969076 0.0009765625 0.0006459554 0.0009613037 0.0019480387 0.0020751953 0.0020243328 0.0020141602 0.0018412272 0.0018870035 0.0023091633 0.0019175211 0.001739502 0.001876831 0.0019480387 0.0019582112 0.0018208822 0.0019124349 0.0019429525 0.0020345051 224.0 11.973214 2682.0 0.007829977 0.00074571214 0.00037285607 0.0 0.017524235 0.01901566 0.00037285607 0.0 0.0029828486 0.00074571214 0.00037285607 0.00074571214 0.0011185682 0.015659954 0.013049963 0.0026099926 0.010067114 0.011185682 0.013795675 0.010067114 0.017524235 0.011558538 0.0067114094 0.009321402 0.0074571217 0.00857569 0.004847129 0.0026099926 0.0011185682 0.00037285607 0.0 0.00037285607 0.0033557047 0.022371365 0.0014914243 0.013795675 0.0074571217 0.010067114 0.011558538 0.007829977 0.0063385535 0.0067114094 0.00074571214 0.0037285609 0.008948546 0.004474273 0.004101417 0.004847129 0.011931394 0.008948546 0.014168531 0.015287099 0.008948546 0.005965697 0.007829977 0.009321402 0.0018642804 0.0026099926 0.0011185682 0.0014914243 0.008202834 0.0014914243 0.0014914243 0.0033557047 0.004101417 0.038404174 0.0104399705 0.025354214 0.035421327 0.09209545 0.015287099 0.010067114 0.011185682 0.030947054 0.0070842654 0.0011185682 0.030947054 0.009321402 0.035421327 0.036539897 0.01715138 0.0018642804 0.0398956 0.0398956 0.049589857 0.011931394 0.0022371365 0.0067114094 0.00857569 0.005592841 0.0011185682 0.00074571214 0.0 0.00037285607 0.0 0.0 5.704226 0.0 0.0 0.0 2.0 99840.0 114688.0 0.0 0.0 58.0 0.0 1.0 0.0 0.0 0.0 1153990500.0 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 78336.0 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 7168.0 0.0 0.0 0.0 0.0 0.0 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 -78336.0 0.0 12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.431922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7187256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1412325 0.0 4.1201644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7086.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -78276.0 0.0 12400.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 91680.0 12400.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 252.0 86016.0 0.0 0.0 0.0 0.0


Input: 0.6080981 0.0051831873 0.0027708441 0.0033571776 0.0039502117 0.0017757526 0.0014675087 0.001658486 0.0036386177 0.0015512707 0.0014909621 0.0011961202 0.002643526 0.0016417336 0.0013066859 0.0024793528 0.0028914614 0.00094148394 0.00090462866 0.0009783391 0.0021912118 0.0017791031 0.0010855544 0.00095488585 0.0016785888 0.0011492135 0.00092473155 0.0014239525 0.0015981774 0.0010688021 0.0011157087 0.0015847754 0.0049319016 0.0010855544 0.0016115792 0.001222924 0.0029115642 0.0010017925 0.0008543715 0.0012128726 0.0011927696 0.00089122675 0.0008175163 0.001286583 0.0011927696 0.0012028211 0.0023520347 0.0010151945 0.0025832176 0.0022615718 0.0023218803 0.0033973833 0.0021845107 0.0018930193 0.0019533278 0.0020270383 0.0016852898 0.0018059069 0.0017355469 0.0025061565 0.0018394117 0.0024760023 0.0016350326 0.0018494631 0.0024558993 0.0020370898 0.0044226293 0.0047978824 0.002817751 0.0029283166 0.0019566782 0.0019968841 0.0017522993 0.0017422478 0.0011961202 0.0011961202 0.0017522993 0.0019734306 0.0019432764 0.0013535925 0.003142747 0.0012363258 0.0011726668 0.0023017775 0.0015077145 0.0015914764 0.0020806459 0.0018729165 0.0013066859 0.0019131221 0.00072705344 0.0015378688 0.0010017925 0.0013904478 0.0014407049 0.0012530782 0.0010855544 0.0025363108 0.00088117534 0.0020136365 0.0019700802 0.0046873167 0.0013803963 0.0011793678 0.0023453336 0.002509507 0.0021677583 0.00089457724 0.0023821888 0.0013502421 0.0024693012 0.0026267737 0.0017187945 0.0007907125 0.0033571776 0.002432446 0.005595296 0.0044226293 0.0017623507 0.001722145 0.0012329754 0.0012664802 0.00071030104 0.000857722 0.0009749887 0.0012363258 0.0009615868 0.0011559144 0.0023185299 0.0010185449 0.0007002496 0.0038765015 0.0013870973 0.002151006 0.00067679625 0.0007438058 0.0014608077 0.0028680079 0.0011760173 0.007910475 0.000857722 0.002509507 0.00053272577 0.0008175163 0.00090797915 0.00047911814 0.00051932386 0.00069019815 0.00066339434 0.0006064363 0.0005829829 0.00052267435 0.00075050676 0.0004724172 0.00049252005 0.0005461277 0.0005595296 0.00049252005 0.0005896839 0.000569581 0.00072705344 0.00094148394 0.0006030858 0.0008242172 0.00073375436 0.000639941 0.0005561791 0.0006064363 0.00073710486 0.0005427772 0.0006131372 0.00064999243 0.0006868477 0.0005963848 0.0005829829 0.0005863334 0.00074045535 0.0006097867 0.0006432915 0.0006198382 0.00076390867 0.00053607626 0.0006734458 0.0007907125 0.00089122675 0.00043891242 0.0006231886 0.0006265391 0.0008309182 0.0006164877 0.0008443201 0.0006700953 0.0028244518 0.0010855544 0.0008878763 0.0020136365 0.001588126 0.0006365905 0.0011726668 0.0013803963 0.0013368402 0.001145863 0.00070695055 0.0006700953 0.0026234232 0.0005628801 0.0005729315 0.0007438058 0.0011157087 0.0010520497 0.000787362 0.0008610725 0.00071030104 0.0005829829 0.0008878763 0.0007840115 0.0011726668 0.0006298896 0.0006030858 0.0007605582 0.00069019815 0.00066339434 0.0011592649 0.0010118439 0.0014373545 0.000646642 0.0005829829 0.00070695055 0.001581425 0.00056623056 0.00076390867 0.00067679625 0.0043187644 0.0009615868 0.0010386477 0.0015713735 0.0015445697 0.0006198382 0.0006164877 0.00056623056 0.0016249812 0.0006332401 0.00067679625 0.00093143247 0.0010084935 0.0006365905 0.00095153536 0.0010889049 0.0019734306 0.00094818487 0.00076725916 0.0007840115 0.0020839965 0.0008711239 0.0017288459 0.019774513 0.48965013 1.6837284e-06 0.0 0.0 1.6837284e-06 0.0 1.6837284e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033068426 1.6837284e-05 1.6837284e-05 5.0511853e-06 1.8521014e-05 1.6837284e-06 2.5255928e-05 2.0204741e-05 5.0511853e-06 1.6837284e-06 3.3674569e-06 3.3674569e-06 1.0102371e-05 3.3674569e-06 5.0511853e-06 5.0511853e-06 0.0063729123 6.903287e-05 2.8623384e-05 2.8623384e-05 7.745151e-05 2.5255928e-05 6.229795e-05 3.0307112e-05 0.00010102371 8.418642e-06 8.418642e-06 1.5153556e-05 1.34698275e-05 6.7349138e-06 1.1786099e-05 3.7042028e-05 0.012163254 0.00016668912 0.0001245959 9.260506e-05 0.00024414062 5.556304e-05 0.00011449354 0.00016500539 0.00020204742 3.53583e-05 3.7042028e-05 5.219558e-05 4.2093212e-05 5.0511855e-05 5.724677e-05 0.00019026131 0.0055815596 5.556304e-05 4.8828126e-05 8.0818965e-05 5.556304e-05 4.5460667e-05 6.0614224e-05 9.260506e-05 0.00010775862 2.3572198e-05 2.5255928e-05 3.367457e-05 3.7042028e-05 1.8521014e-05 0.00014311692 0.00048659754 0.0028000404 2.3572198e-05 1.0102371e-05 3.7042028e-05 5.724677e-05 9.260506e-05 3.8725753e-05 2.6939655e-05 0.00013301455 3.199084e-05 1.0102371e-05 6.7349138e-06 3.199084e-05 3.8725753e-05 2.8623384e-05 8.0818965e-05 0.012171673 0.00028623384 0.00023403825 0.0050495015 0.00480031 0.00019026131 0.0004209321 0.000272764 7.2400326e-05 2.3572198e-05 8.0818965e-05 3.8725753e-05 2.188847e-05 8.587015e-05 0.00014311692 0.00024582434 0.02744309 0.00076104526 0.002133284 0.0011701912 0.00092099945 0.00025929417 0.004061153 0.0022410427 0.0006027748 0.0001414332 0.00016500539 0.00011280981 0.00038220634 0.00014480065 0.0003434806 0.0073932516 0.013983365 0.00042935077 0.0011028422 0.0009479391 0.0012914197 0.00048154633 0.0018756735 0.0014160157 0.0007778825 8.755388e-05 8.9237605e-05 0.00010607489 0.00012796336 6.0614224e-05 0.00027613147 0.0010843212 0.010171403 0.00046134158 0.0010708513 0.0015978583 0.0027562634 0.0010742188 0.0059300917 0.0030559672 0.00024582434 9.765625e-05 7.07166e-05 9.597252e-05 0.00013469828 0.00010775862 0.00014480065 0.0005707839 0.004340652 8.0818965e-05 0.0004680765 0.00021551724 0.0012392241 0.0004849138 0.00332368 0.0020322602 0.00011280981 8.4186424e-05 8.4186424e-05 7.2400326e-05 6.398168e-05 0.00011449354 7.4084055e-05 0.0010018185 0.0032479123 0.00052195584 0.00051185343 0.0049131196 0.0008485991 0.00047649516 0.0005977236 0.00037547146 0.00028791756 0.00028623384 0.00028791756 0.00024582434 0.00025929417 0.00029970365 0.00030643857 0.00032664332 0.0069790543 0.0011516702 0.0008081897 0.0018689386 0.0014614763 0.00080145476 0.0016349003 0.0014143318 0.0010203394 0.0002828664 0.00025592672 0.00038220634 0.0006465517 0.00051185343 0.0006095097 0.00086038525 0.011117659 0.0019447063 0.0023403824 0.0018066406 0.0039550783 0.0032967404 0.0022797682 0.0031418372 0.006527815 0.000527007 0.0006802263 0.0007391568 0.0031081627 0.001183661 0.0020305766 0.003596444 0.023940936 0.00565396 0.00515726 0.0055108434 0.008959119 0.009014682 0.0037530307 0.0068797143 0.01367861 0.0010573815 0.001581021 0.001606277 0.007608769 0.0031233162 0.00663389 0.01308257 0.011006533 0.01065295 0.010728718 0.010900458 0.009678071 0.009198208 0.008280576 0.0089877425 0.0071390085 0.0066945045 0.007213093 0.0073612607 0.0074336613 0.0076862206 0.007354526 0.007615504 1456.0 10.794642 15717.0 0.029076796 0.0028631417 0.0038811478 0.002226888 0.0045810267 0.0026086404 0.002545015 0.00509003 0.0033085195 0.0021632628 0.002226888 0.003054018 0.003244894 0.004135649 0.012343323 0.0038175224 0.01787873 0.0170516 0.017115226 0.015651843 0.014379335 0.008843927 0.0091620535 0.0096074315 0.008907552 0.009098428 0.009416555 0.009480181 0.007953172 0.0170516 0.009416555 0.00922568 0.0068715406 0.01692435 0.0072532925 0.02366864 0.018387733 0.008653051 0.010752688 0.016542597 0.008334924 0.014188458 0.0054717823 0.0073805433 0.00935293 0.007889546 0.01692435 0.006998791 0.0143157095 0.003753897 0.0054081567 0.012470573 0.005853534 0.002926767 0.0071896673 0.0085258 0.008334924 0.0028631417 0.0027358911 0.00922568 0.004135649 0.0027995165 0.003372145 0.0036266462 0.0047082775 0.02615003 0.0056626583 0.020996373 0.014379335 0.05420882 0.006108036 0.008016797 0.008716676 0.027677037 0.0026722657 0.0035630208 0.022332506 0.010943565 0.023859516 0.028376916 0.012406948 0.0026086404 0.03524846 0.021632627 0.042183623 0.013170453 0.007444169 0.0072532925 0.0057262834 0.008207673 0.003054018 0.002926767 0.0024813896 0.0021632628 0.0026086404 0.0019723866 6.1430273 0.0 1.0 0.0 7.0 298465.0 348160.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 1099778400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 6.0 4.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 181248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109056.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.461667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8134696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4644375 0.0 3.549142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180969.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110926.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 197212.0 1932.0 57344.0 24.0 17360.0 0.0 0.0 3264.0 232960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.2782188 0.029165203 0.052605446 0.012401795 0.034898393 0.0033301879 0.007395541 0.0038294417 0.004035178 0.0027486393 0.05566955 0.0026800605 0.002455122 0.0021533752 0.0022301835 0.0011987579 0.0024633515 0.008056641 0.0050117406 0.0040927846 0.0023563686 0.004729196 0.007387311 0.0046441583 0.0016431487 0.0017830495 0.0013880355 0.00177482 0.0012728231 0.0011548675 0.0023426528 0.0076259654 0.012709028 0.0028254476 0.0016650939 0.0013825492 0.00066384306 0.0036154757 0.0018927756 0.0008284322 0.008418737 0.001234419 0.0026553723 0.0019037483 0.0026142248 0.00274041 0.0022987623 0.0008394048 0.0024359198 0.0016705802 0.0014209533 0.0011219496 0.00085037743 0.0007241924 0.0012179599 0.00090524054 0.0010698297 0.0016870392 0.0012645936 0.00050474016 0.00059252104 0.0013688334 0.00060349365 0.0014511279 0.0010533708 0.0044356785 0.0037663493 0.005535683 0.0036621094 0.003102506 0.0026306838 0.0025730776 0.0012426483 0.0022850465 0.0006226958 0.00066384306 0.0011137201 0.0011630969 0.0011740695 0.0026306838 0.0027788142 0.0013112272 0.0024139746 0.0026032522 0.0026910333 0.0017693337 0.0015443952 0.0013002546 0.0010067372 0.0010643434 0.0006556136 0.0004032435 0.0007324219 0.0007488808 0.0008284322 0.0029296875 0.0005897779 0.011619996 0.0026773175 0.006059625 0.005897779 0.020173147 0.0015690835 0.0035084928 0.003009239 0.008983826 0.00049376755 0.0019613544 0.008627216 0.0045563774 0.008448912 0.050218903 0.0135319745 0.00065287045 0.01847788 0.01563323 0.013372871 0.005500022 0.0015005048 0.0017693337 0.0031299377 0.0029104855 0.00056234637 0.027313575 0.0012069873 0.003316472 0.00056234637 0.0006062368 0.0019860428 0.0026087386 0.0008832953 0.00089975423 0.00037032567 0.00038678458 0.0005157128 0.0014127238 0.00080923014 0.0009299289 0.0005211991 0.0009079837 0.0008284322 0.0009518741 0.0006281821 0.0007187061 0.00036483936 0.00046359288 0.0007955144 0.00040598665 0.0003456373 0.0004142161 0.0002798016 0.0003511236 0.0004334182 0.0010012509 0.0006007505 0.00031820577 0.00030723316 0.00054040115 0.0003511236 0.0003566099 0.00028254476 0.00034289414 0.0029132285 0.0003566099 0.00065835676 0.0005760621 0.0002798016 0.00039501404 0.0003566099 0.00054040115 0.00021945225 0.0013304292 0.0012316757 0.0010259392 0.0011438949 0.00046359288 0.00027157215 0.0006775588 0.00040598665 0.0006775588 0.0004745655 0.0006857883 0.0004142161 0.0006226958 0.0002743153 0.00037581197 0.0007296787 0.00025237008 0.00027705845 0.00028803106 0.0002852879 0.00043616135 0.00030723316 0.00047182234 0.0006665862 0.00029351737 0.0003456373 0.0005157128 0.00029900367 0.0004800518 0.00031546262 0.0006857883 0.00038678458 0.00021945225 0.000340151 0.00033740784 0.00044713396 0.0010314255 0.00030723316 0.00046359288 0.00042518871 0.00037581197 0.0007955144 0.0005321717 0.00026059954 0.00085037743 0.00033740784 0.00043067505 0.00037032567 0.00029626052 0.0005129696 0.00046907918 0.00093815837 0.00028803106 0.00033192153 0.00043616135 0.00028803106 0.00023316802 0.00023865432 0.00033740784 0.0006336684 0.00046084973 0.00035386675 0.0003675825 0.00020299332 0.0003977572 0.00027705845 0.0004910244 0.00021396595 0.0002852879 0.00021396595 0.00075711025 0.00021122278 0.00029351737 0.00036483936 0.00023591117 0.00032369207 0.00040050034 0.00032917838 0.0005431443 0.00032917838 0.0002633427 0.00029351737 0.0002578564 0.0011384086 0.0009463878 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002378136 9.628081e-06 2.7508802e-05 4.5389526e-05 4.9515846e-05 2.4757923e-05 0.0002021897 6.602113e-05 2.7508802e-06 0.0 2.7508802e-06 2.7508802e-06 1.3754401e-06 0.0 1.3754401e-06 2.7508802e-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 0.0037549515 3.9887764e-05 9.352993e-05 7.152289e-05 0.00032597932 0.0003122249 0.0017041704 0.0018073283 0.0001953125 1.3754401e-05 2.2007041e-05 2.3382483e-05 2.6133363e-05 1.7880722e-05 9.628081e-06 3.3010565e-05 0.06816269 0.0014923526 0.0067932988 0.0011457417 0.009722986 0.008602003 0.06422618 0.033123348 0.00032735476 7.014745e-05 7.427377e-05 0.00018430898 9.628081e-05 0.00017055457 9.628081e-05 7.840009e-05 0.12432053 0.009633583 0.01104891 0.0032295336 0.010299296 0.005274813 0.029701255 0.02553092 0.0019324934 0.0014896017 0.0009834397 0.001021952 0.00097518705 0.001265405 0.000656085 0.00080600794 0.20998295 0.026492352 0.019132372 0.00804495 0.012513754 0.005552652 0.027164944 0.035494607 0.0057740975 0.0031855193 0.006241747 0.0028911752 0.0029640736 0.003493618 0.0024854203 0.0032336598 0.055244554 0.012098371 0.007714844 0.0031263754 0.001955876 0.0018142055 0.009977443 0.009275968 0.0034894915 0.0012090119 0.003321688 0.0015762544 0.0012461487 0.0013919454 0.00085139746 0.0011993838 0.012319817 0.0023987675 0.001287412 0.0010205766 0.0008046325 0.001112731 0.0021401849 0.0019324934 0.0018169564 0.00047590228 0.00050616194 0.00053642166 0.00070009904 0.00039337587 0.0004208847 0.00030259683 0.012691186 0.0043642716 0.0015611246 0.0014001981 0.0014978544 0.001481349 0.0029613227 0.0023960166 0.0010989767 0.00060519367 0.0007069762 0.0006478323 0.0006478323 0.00059143925 0.0006588358 0.0004924076 0.0053573395 0.0012860366 0.00066021126 0.000828015 0.0005515515 0.0006588358 0.00052816904 0.00062307436 0.00075236574 0.00029709507 0.00027921435 0.00027508804 0.0004979093 0.00034798635 0.00037549515 0.00076612015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1907.0 17.893026 34122.0 0.0036047124 0.000117226424 0.0 0.0006447453 2.9306606e-05 0.0 5.8613212e-05 2.9306606e-05 8.791982e-05 0.0 0.000117226424 5.8613212e-05 0.002227302 0.00014653303 0.0069749723 0.0 0.0026962077 0.0022566086 0.0024031417 0.0016704765 0.0014067171 0.0013774105 0.00082058494 0.0013481039 0.0007912784 0.0012894906 8.791982e-05 0.0 5.8613212e-05 0.0017290898 5.8613212e-05 0.0 2.9306606e-05 0.009260887 0.009290194 0.020280171 0.010843444 0.0044839107 0.005275189 0.0052458826 0.0036926323 0.009964246 0.00020514624 0.00061543874 0.0033702597 0.0047183638 0.0033995663 0.0029306605 0.011957095 0.00038098588 0.012894906 0.015327355 0.013422426 0.0026962077 0.0067991326 0.0027841276 0.0 0.00017583964 0.0 0.0 0.00017583964 0.0 0.0 0.022126487 0.000117226424 0.05577047 0.0132758925 0.030537482 0.029218687 0.12461169 0.0037805522 0.019635426 0.012250161 0.04384268 0.00014653303 0.008264462 0.04457535 0.026962077 0.045366626 0.065734714 0.016616846 0.00032237265 0.046040677 0.04706641 0.08282047 0.03083055 0.0052458826 0.0063595334 0.012748374 0.012426001 0.00084989157 0.0 0.0 5.8613212e-05 8.791982e-05 0.0 4.979782 1.0 0.0 0.0 1.0 364544.0 393216.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541597000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 362496.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -362496.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.45558 0.0 3.1106412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361996.0 0.0 888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 370100.0 888.0 376832.0 0.0 0.0 0.0 0.0 12.0 385024.0 28.0 369788.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.282156 0.016749138 0.008518294 0.010281497 0.007827899 0.0051227827 0.0016605413 0.0051510143 0.0051176497 0.0014013223 0.0119009735 0.0014423867 0.001532215 0.0043348595 0.0010599745 0.006847487 0.005541126 0.0014218545 0.0010240432 0.0009804122 0.0011549359 0.006565169 0.00078792294 0.00071862683 0.0021712796 0.0009316483 0.0006467641 0.000846953 0.0009290818 0.00071862683 0.0005312705 0.0020532194 0.011146415 0.0009188157 0.0009316483 0.00044914175 0.010340527 0.000949614 0.0003824121 0.0015296484 0.0028206103 0.000895717 0.00041577694 0.001419288 0.0010112106 0.0012909618 0.00091111613 0.0006544637 0.004250164 0.000949614 0.0010291763 0.01106942 0.0013140604 0.00075199164 0.00050047226 0.00043374262 0.0020326872 0.0014860176 0.00051330484 0.0014423867 0.000895717 0.0013859231 0.000690395 0.0010214767 0.0060518645 0.0072427318 0.0017478031 0.001958258 0.015499241 0.00619559 0.0010009445 0.0014860176 0.03499199 0.004758336 0.00080845517 0.00081872125 0.007596912 0.0039139497 0.0009932449 0.0015784125 0.0036034002 0.00071092724 0.0009727127 0.0017940005 0.0017478031 0.0020224212 0.0010394424 0.0019505585 0.0017195713 0.00046710743 0.00074429205 0.0009958114 0.0023945672 0.00090341654 0.00089315046 0.0018324984 0.002261108 0.004029443 0.0009932449 0.0030361982 0.003069563 0.0084182 0.0076533756 0.0014860176 0.0019223267 0.004878963 0.00054410315 0.00071862683 0.0039293487 0.0019608245 0.0038395203 0.0042373314 0.0038677522 0.0003824121 0.0047994005 0.0035546361 0.012280819 0.0038908508 0.0010548414 0.0036239324 0.0029438033 0.0018889619 0.00059543364 0.00081102166 0.0010266097 0.0007725238 0.00067756244 0.0027641468 0.01094366 0.0013140604 0.000523571 0.006506139 0.0022585413 0.008218011 0.00065189716 0.00092394877 0.004132104 0.0100171445 0.0007288929 0.024615536 0.00066216325 0.010276363 0.0004234765 0.0010060775 0.0016425756 0.0004645409 0.0005492362 0.00041834346 0.00062623195 0.0009393479 0.00056206883 0.0003824121 0.0011292706 0.006172491 0.00033364815 0.0002848842 0.0006724294 0.00041577694 0.00031311598 0.000528704 0.0014860176 0.000582601 0.0005466697 0.00043117607 0.00058516755 0.000474807 0.0005389701 0.000582601 0.0010984724 0.0005415366 0.0005646353 0.0006390645 0.0006749959 0.0008341204 0.00058516755 0.0004953392 0.0012344982 0.0004773735 0.000631365 0.0005056053 0.0005595023 0.0005697684 0.0008751848 0.0009804122 0.0014090218 0.000954747 0.0015578803 0.0008058886 0.000528704 0.00084182 0.0006570302 0.0006236654 0.0073453924 0.002838576 0.0009881118 0.0029746017 0.0023868675 0.00042091 0.0007802234 0.0022867732 0.0027102497 0.0024638632 0.0007057942 0.0018068331 0.032984972 0.00054410315 0.00096757966 0.0014372537 0.0017837344 0.0014346871 0.0018966615 0.0007699573 0.0005261375 0.0005261375 0.00071349373 0.00096757966 0.0021276486 0.0008880174 0.0006005667 0.0011369702 0.0005980002 0.0005312705 0.00033108162 0.00046710743 0.0015784125 0.0004953392 0.00047224047 0.00062879844 0.0005056053 0.00029001725 0.00034648078 0.00053383707 0.005800345 0.0021276486 0.00073402596 0.0018786958 0.0043964563 0.0017503696 0.0004234765 0.00054410315 0.0038780181 0.0011908673 0.00065189716 0.00063649804 0.001111305 0.00039267822 0.0012062665 0.0012883953 0.0023278375 0.0013859231 0.0008392534 0.00063649804 0.00091111613 0.00078792294 0.0017683352 0.07472179 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03415521 0.00014042917 2.576682e-05 2.8343502e-05 2.9631843e-05 1.4171751e-05 2.8343502e-05 2.1901798e-05 3.2208525e-05 2.1901798e-05 4.1226915e-05 1.8036775e-05 1.6748434e-05 2.705516e-05 2.0613457e-05 0.0049562478 0.03909986 0.00023834308 7.7300465e-05 9.40489e-05 6.312871e-05 3.993857e-05 0.00018680946 4.8956957e-05 3.3496868e-05 4.766862e-05 0.000114662354 6.441705e-05 2.705516e-05 9.6625576e-05 5.5398665e-05 0.009844214 0.01868481 0.00023061305 9.40489e-05 0.00015460093 5.153364e-05 2.3190138e-05 3.607355e-05 3.8650232e-05 0.00011337401 2.9631843e-05 8.503051e-05 4.8956957e-05 3.993857e-05 9.6625576e-05 0.00011079733 0.006547349 0.0132531645 0.00013269913 0.00014815922 0.0001442942 9.40489e-05 6.570539e-05 0.000114662354 0.00010822064 0.00027699332 7.7300465e-05 0.0004560727 0.00033368033 0.00025895654 6.9570415e-05 0.00013785249 0.0027982767 0.017623218 0.00051018305 0.00032981532 0.00019840452 0.00023963144 0.0002473615 0.00029631844 0.00045993776 0.0014094451 0.0003388337 0.00030920186 0.00043159424 0.00024864983 0.0002357664 0.00014944756 0.0007188943 0.013572672 0.00034656373 0.00013527581 0.00014300585 0.0011363168 0.00054110325 0.0029928163 0.0019621435 0.00088509027 0.0002576682 7.21471e-05 0.00014042917 9.018387e-05 8.760719e-05 0.00024607315 0.0011376052 0.020607015 0.000721471 0.000506318 0.00091472216 0.0026952093 0.0010796298 0.0046599293 0.0030056997 0.0011736787 0.0006660723 0.0005140481 0.00038134895 0.0055334247 0.00016877268 0.0010603047 0.006444282 0.04626175 0.0034102388 0.008334278 0.0045001754 0.01281384 0.0039036733 0.0199899 0.015136719 0.0064584534 0.0015344141 0.00030920186 0.00034656373 0.0030765585 0.00026153322 0.0012471142 0.014895799 0.040412683 0.0022868053 0.002655271 0.003924287 0.0030250247 0.0024053326 0.007257225 0.0036807903 0.0027467432 0.0034347172 0.0007072992 0.0006454589 0.0036215265 0.0008013481 0.0019763152 0.010128937 0.029318776 0.0013656415 0.0015563159 0.0029979695 0.0034733673 0.0014931873 0.005413609 0.0031950858 0.0027364364 0.00278797 0.00081165484 0.00088766695 0.004171648 0.00081036653 0.0017804872 0.008439922 0.0088844 0.0009830042 0.0011698137 0.0008258266 0.0038998083 0.00074466114 0.0014828806 0.0012896294 0.0041085198 0.00043159424 0.0004895696 0.0006905508 0.005542443 0.00074594945 0.0010512862 0.001960855 0.08237008 0.014618806 0.018786589 0.013701507 0.06474043 0.011338689 0.00862029 0.013938562 0.059361603 0.0042592552 0.0042605437 0.007445323 0.038173545 0.010015563 0.012748134 0.02348388 0.00557594 0.0010770531 0.0013025128 0.001171102 0.003698827 0.0009327589 0.0009868692 0.0011801204 0.0031744724 0.00060423196 0.00055269833 0.000672514 0.0020497506 0.0007974831 0.0009456423 0.0016632483 0.001069323 0.0009791392 0.0009881576 0.0010074826 0.00094950735 0.0009804275 0.0009611024 0.0009572374 0.00095852575 0.0009456423 0.00092889386 0.0010757648 0.000944354 0.001069323 0.0009984643 0.0010177894 2167.0 15.613751 33835.0 0.06924782 0.00091621105 0.002305305 0.00011822078 0.010521649 0.00011822078 0.00017733117 0.011792523 0.004255948 0.0036648442 0.00011822078 0.0004137727 0.0046401657 0.008541451 0.004728831 0.0014482045 0.005526821 0.0051130485 0.0039308406 0.0049357177 0.0009457662 0.0016550908 0.00085710065 0.00023644156 0.0011526525 0.002571302 0.00032510713 0.0006797695 0.003339737 0.007241023 0.0016846461 0.004255948 0.0236146 0.0236146 0.0045219446 0.008896113 0.07285355 0.016580464 0.003191961 0.004403724 0.011319639 0.012560958 0.0014482045 0.0009753214 0.007507019 0.0033988473 0.004108172 0.007477464 0.0102556525 0.0019506428 0.004285503 0.008718782 0.0059405942 0.010551204 0.0059997044 0.008275455 0.0032806266 0.0006797695 0.0039308406 0.00035466233 0.0028077434 0.0014482045 0.0025417467 0.005497266 0.0004433279 0.032422047 0.0056154868 0.023141718 0.017969558 0.07471553 0.0099601 0.009812324 0.006945471 0.03460913 0.0009457662 0.0028077434 0.029909857 0.014836707 0.03277671 0.034077138 0.016876016 0.00023644156 0.03874686 0.02503325 0.06788828 0.014866263 0.0047879415 0.028579872 0.006649919 0.010314763 0.0011526525 0.0006797695 0.00070932467 8.866558e-05 0.00011822078 0.0018324221 5.4945335 0.0 1.0 0.0 7.0 389632.0 413696.0 1.0 2.0 326.0 1.0 1.0 0.0 0.0 0.0 1540437100.0 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 1.0 -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 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 174080.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 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 67072.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -174080.0 0.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.362418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7162127 0.0 0.0 0.0 0.0 5.349926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9088705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2926574 0.0 0.7759255 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 66766.0 0.0 0.0 0.0 0.0 8172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -174021.0 0.0 131176.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 3.0 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 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -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 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 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 -3.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 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 1.0 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 -1.0 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 -1.0 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 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 1.0 0.0 -1.0 2.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 2.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 2.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 -1.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 -2.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 234912.0 1000.0 235020.0 132592.0 274432.0 8172.0 262144.0 0.0 0.0 1292.0 409600.0 56.0 194464.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 180848.0 0.0 0.0 3080.0 184352.0 320.0 224016.0 0.0 0.0


Input: 0.032569613 0.0046551074 0.0036899003 0.0042409347 0.004137541 0.0033193564 0.003888918 0.0040974985 0.0042325677 0.003141256 0.0027527828 0.0036719707 0.004521831 0.0035835183 0.0038249693 0.0055629397 0.0033348952 0.0027258883 0.0025304563 0.0036187796 0.0029780972 0.0030731237 0.0032147672 0.0037347241 0.0035560261 0.0039289608 0.0030354718 0.0035590145 0.004090327 0.0039008711 0.0038285553 0.00446864 0.0034239453 0.0026003816 0.0025459952 0.003405418 0.003220146 0.0027629428 0.0032536145 0.004011437 0.003040253 0.0029015979 0.0027378413 0.00375863 0.0030121633 0.0035775418 0.0032368803 0.004192525 0.003288876 0.0030802956 0.0035052258 0.0042092595 0.0031030064 0.0027563686 0.0033271257 0.0036528457 0.0041357484 0.0036391 0.004134553 0.0041734003 0.0043634535 0.0040389285 0.004428597 0.0050256513 0.004236154 0.00350164 0.0044196327 0.004518843 0.0028693248 0.004419035 0.0034651833 0.004414254 0.0028424305 0.0029643513 0.0028167313 0.003261384 0.0033492388 0.0039415113 0.0039636246 0.0042654388 0.0037532512 0.0031179476 0.002666721 0.0035518426 0.0027766887 0.003484308 0.0038978828 0.0043873596 0.0029523983 0.0039134216 0.0029320782 0.0037592277 0.0034323123 0.004117221 0.0043305825 0.004697541 0.0033211492 0.003419164 0.002752185 0.0038219811 0.0037681926 0.004092717 0.0036241584 0.0041500917 0.003890711 0.003722771 0.003388086 0.003374938 0.0036570292 0.0039193984 0.0037215757 0.004597135 0.0042863563 0.0037472746 0.0040132296 0.0041040727 0.0057260985 0.0053872303 0.003829153 0.0036779472 0.004196111 0.0041184165 0.003854852 0.003789708 0.0044363667 0.004451308 0.0046772202 0.004252888 0.003688705 0.0035524403 0.0029703279 0.005675298 0.0030294952 0.004008448 0.0030551944 0.003772376 0.002764138 0.0043509025 0.0027348532 0.008403577 0.0034699645 0.0045331866 0.0040156203 0.004095108 0.0033791214 0.003211779 0.002807169 0.0038363247 0.0032165602 0.0034490465 0.0028974144 0.0037544465 0.0027701145 0.0032159626 0.0027025798 0.0033994415 0.0037407004 0.0039636246 0.004139932 0.0041094515 0.0033946603 0.0034956634 0.002785056 0.0039450973 0.0030031987 0.0030067845 0.0029147463 0.004008448 0.0029518006 0.0028878518 0.0026248852 0.0037185873 0.0029093674 0.0032655676 0.0037616184 0.0040939124 0.0029661444 0.0030671475 0.0031059948 0.0033510318 0.0036444787 0.0032231344 0.003943902 0.0037616184 0.00357037 0.0034167734 0.003662408 0.0035673815 0.0040419167 0.003952269 0.0042588646 0.0044160467 0.004496132 0.0042206147 0.0034813199 0.00438975 0.0033241375 0.0033462506 0.0039026642 0.004600721 0.003720978 0.0039923117 0.0038919065 0.0035058234 0.0048278286 0.0031083853 0.0040239873 0.0040395265 0.003958843 0.004142322 0.0035727604 0.003859633 0.0032261226 0.0035315226 0.0031263148 0.0039367303 0.0035106046 0.003533913 0.0039809565 0.003932547 0.0033886838 0.0037944892 0.0037251615 0.004136346 0.004732802 0.0040688114 0.003407211 0.00400546 0.0040992913 0.0041620447 0.0031083853 0.0039863354 0.0064068236 0.0044220234 0.0040395265 0.004196111 0.0041913297 0.0041118423 0.0036899003 0.0039636246 0.005327465 0.0039719916 0.004569643 0.0037167945 0.0047985436 0.004079569 0.0040921196 0.004218224 0.0050931857 0.0042546806 0.0046993336 0.0038423012 0.0049874014 0.004393934 0.0047160676 0.010185774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004951584 1.5847463e-05 1.8538542e-05 1.4950436e-06 1.8538542e-05 1.07643145e-05 1.4651428e-05 1.2857376e-05 3.8871135e-06 1.4950436e-06 4.7841395e-06 8.9702615e-07 8.9702615e-07 2.9900873e-06 2.9900873e-06 6.578192e-06 0.0016224213 3.4685014e-05 8.162938e-05 1.3754401e-05 0.00018418937 1.9435567e-05 0.00014800932 8.5217485e-05 6.578192e-06 3.1694926e-05 4.186122e-06 3.8871135e-06 4.7841395e-06 4.7841395e-06 5.681166e-06 0.00019854179 0.0041639954 4.006717e-05 0.00026312767 0.00013634798 0.0004826001 0.00010943719 0.0007379535 0.000411735 4.485131e-05 3.4386005e-05 2.0631602e-05 1.405341e-05 4.186122e-05 1.405341e-05 3.4685014e-05 0.00018628244 0.0025852295 5.5316614e-05 0.00023531987 3.7675098e-05 0.0003181453 0.00011840746 0.00061236985 0.00035731544 2.362169e-05 3.289096e-05 1.1960349e-05 1.3455393e-05 1.4950437e-05 5.1728508e-05 1.7940523e-05 0.00041263204 0.004584103 0.00015010238 0.00034386004 0.00015219544 0.0008677233 0.00023741293 0.0011906527 0.000580974 0.00019106657 0.0002945236 7.056606e-05 6.18948e-05 0.000136946 0.00013485293 9.807486e-05 9.059964e-05 0.0036526907 0.0001166134 0.0003256205 0.0002984107 0.0010883918 0.00035013922 0.0015336158 0.00084410165 0.0001853854 0.00013186285 5.711067e-05 0.00013933807 0.00011362332 6.4286876e-05 0.00013126482 0.00015309246 0.00088207575 0.00011063323 0.00011511836 0.00012737772 0.00014830833 7.505119e-05 0.0003665847 0.00022186448 6.667895e-05 6.9071015e-05 3.07979e-05 3.019988e-05 4.724338e-05 2.840583e-05 3.1096908e-05 9.897189e-05 0.0015632176 0.00013156384 0.00017910622 0.00023771194 0.0003495412 0.00023113374 0.0002087081 0.0002260506 0.00044671903 0.00028286225 8.8805595e-05 9.26927e-05 0.00033429175 0.00010764314 0.00019973783 0.0002191734 0.012023739 0.0017201971 0.0012752722 0.0017243833 0.004003129 0.0034042143 0.0017324566 0.002677025 0.0070685665 0.00050143764 0.00065064296 0.00088626187 0.0048020803 0.00089941826 0.0029847051 0.00569791 0.007956024 0.001611358 0.0011930448 0.0016364747 0.0027484882 0.0029957683 0.0015934175 0.0023744283 0.0051525184 0.00057798385 0.0005651265 0.00085486594 0.0027691198 0.0011577618 0.0024913407 0.0047386903 0.052063998 0.05161907 0.047618035 0.05651534 0.049062546 0.05024124 0.051039893 0.060753193 0.05096843 0.052662913 0.05129435 0.055885628 0.054643843 0.056926478 0.060633287 0.06518749 6679.0 6.8104506 45487.0 0.017543474 0.005627982 0.0060017146 0.0081781605 0.010178733 0.0069910083 0.008310067 0.009695077 0.007958318 0.0069470396 0.00710093 0.008771737 0.0067931497 0.0067711654 0.010596435 0.009431266 0.007540616 0.0064194165 0.009519204 0.0086838 0.0066612437 0.0067931497 0.008947612 0.008354035 0.009431266 0.009651109 0.010090795 0.009409281 0.009233408 0.00852991 0.010090795 0.011629696 0.020401433 0.010486512 0.0065952907 0.009695077 0.0060676676 0.006573307 0.009739046 0.009914921 0.007760459 0.007166883 0.006749181 0.007232836 0.007628553 0.007386726 0.008354035 0.009101502 0.011080089 0.0067271967 0.0076725218 0.009629125 0.00945325 0.007232836 0.011871524 0.012289225 0.009101502 0.008595862 0.007848396 0.009057533 0.008398004 0.008881658 0.009475235 0.013916064 0.009189439 0.018378878 0.010222701 0.015454965 0.0154769495 0.026073383 0.010046827 0.011717633 0.009804999 0.01798316 0.007540616 0.0069250553 0.016444258 0.012377162 0.016686086 0.02411678 0.013608283 0.008244114 0.019522062 0.019478092 0.027502364 0.014377735 0.010706356 0.007848396 0.011563743 0.012003429 0.007760459 0.009475235 0.009958889 0.010068811 0.010442544 0.009035548 6.4829855 0.0 0.0 0.0 21.0 1673216.0 1687552.0 1.0 0.0 72.0 0.0 1.0 0.0 0.0 0.0 1542968400.0 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 14.0 15.0 6.0 0.0 6.0 0.0 148480.0 1024.0 4096.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148480.0 0.0 1448448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.147612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2907934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.60806 0.0 7.9824715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 67946.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148374.0 0.0 1448056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 221920.0 1448056.0 237568.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 207792.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 207824.0 0.0 0.0 292.0 155648.0 0.0 0.0 0.0 0.0


Input: 0.10136095 0.016306434 0.00990959 0.00723664 0.010615018 0.0056146346 0.01204987 0.005945754 0.0052931127 0.003992629 0.011109298 0.0036039236 0.0031480344 0.0029416846 0.004107801 0.002701743 0.0029800753 0.007169456 0.0057010134 0.004501305 0.0028121162 0.0032536087 0.004961993 0.0035127457 0.0033735796 0.0031384367 0.0034503608 0.0031768274 0.0031624308 0.0032008216 0.003647113 0.0026105652 0.0053938883 0.0025625767 0.0022602503 0.007063882 0.0048900107 0.0025817722 0.0067375614 0.0023226351 0.008527526 0.0021786701 0.004539696 0.006847935 0.0032584076 0.0057585994 0.0025817722 0.0020634981 0.006459229 0.00489481 0.0046452703 0.0046020807 0.004678862 0.004304553 0.004534897 0.0043717367 0.00497639 0.004707655 0.002245854 0.0020155099 0.002188268 0.014655636 0.0019339296 0.0020730959 0.002188268 0.0063632526 0.004746046 0.005249923 0.0055042612 0.0051251533 0.005542652 0.004789235 0.004746046 0.0052691186 0.004376536 0.0046692644 0.0055282554 0.004952396 0.004794034 0.004506104 0.0047172527 0.0053027105 0.005086763 0.005081964 0.004664466 0.004803632 0.00440053 0.004664466 0.0053938883 0.005019579 0.00448211 0.0019723203 0.0020347051 0.0020874923 0.0018763436 0.0051635443 0.0023418304 0.006871929 0.0049236026 0.0059361565 0.005307509 0.00954008 0.0054418766 0.0062720748 0.004664466 0.006607993 0.0043237484 0.004765241 0.005945754 0.0053459 0.00645443 0.010159129 0.00497639 0.010005566 0.006718366 0.0071982495 0.008162815 0.0054082847 0.0045300983 0.005201935 0.0045780865 0.0055906405 0.0041845823 0.0036807049 0.0019627227 0.0027737254 0.0043477425 0.0021210841 0.004079008 0.0033687807 0.0025673755 0.001924332 0.0022506525 0.0020203087 0.0020586993 0.0019723203 0.0019867169 0.0022314573 0.0020155099 0.0018811425 0.0022890433 0.002361026 0.002269848 0.0021114864 0.001953125 0.0022362561 0.0019051366 0.001981918 0.002068297 0.0020778948 0.0018187576 0.0021210841 0.0019867169 0.0022218598 0.00230344 0.002039504 0.0022506525 0.002154676 0.0020586993 0.0018571484 0.0021402794 0.0019771191 0.0023418304 0.0029992706 0.0018859414 0.0020586993 0.0020778948 0.0018715449 0.0021930668 0.0025337837 0.002274647 0.0023946175 0.0021306819 0.0021114864 0.0020539004 0.0020011133 0.0019387285 0.0021642738 0.0020826934 0.0021162853 0.0022026643 0.00209709 0.00180916 0.0022554514 0.0020491017 0.002039504 0.0019675214 0.0018331541 0.0020155099 0.0019291309 0.001953125 0.0027209383 0.0019051366 0.0019051366 0.0019435274 0.0018427519 0.0018715449 0.0019867169 0.0016412009 0.0020251074 0.001924332 0.0023994164 0.0019147344 0.0018571484 0.002039504 0.0021306819 0.0017899647 0.0019387285 0.0034647575 0.001895539 0.0022602503 0.0019339296 0.0019099355 0.0020251074 0.0018283554 0.0018619471 0.002039504 0.001981918 0.0019003379 0.0017707694 0.0019147344 0.0021594749 0.0025961685 0.001780367 0.0019483261 0.0019195331 0.001924332 0.0018619471 0.0020874923 0.001981918 0.001895539 0.0019387285 0.0020491017 0.002068297 0.0019627227 0.0019675214 0.0020155099 0.0021210841 0.0022026643 0.0017611717 0.0019003379 0.0019675214 0.002010711 0.0025625767 0.0020874923 0.0018187576 0.0018475506 0.0020491017 0.002183469 0.0020155099 0.002039504 0.0019003379 0.0019147344 0.0020059121 0.002644157 0.0033735796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042325766 0.0007324219 0.00032632658 9.427212e-05 0.0015832882 0.00090887997 0.0071284226 0.00408996 0.0004399366 7.0099784e-05 1.9337871e-05 2.6589572e-05 1.6920638e-05 1.4503404e-05 7.976872e-05 3.8675742e-05 0.014435721 0.0031544901 0.0013343131 0.000413347 0.00052212254 0.00059705676 0.00042543316 0.00038917465 0.0014962677 0.00042301594 0.00041576423 0.00015228573 0.0002489751 0.00019821318 0.00032632658 0.0002199683 0.07619363 0.012344814 0.019108234 0.0040947944 0.004297842 0.0032729348 0.009917911 0.010007349 0.002356803 0.0016461363 0.0013802405 0.0014503404 0.0010345761 0.0024510752 0.0012690478 0.0026396194 0.053713355 0.010367516 0.017280806 0.03909634 0.040237274 0.031943746 0.044728495 0.036889408 0.0027459778 0.0015518642 0.0018975287 0.0011747757 0.0007904355 0.0016171295 0.0011215965 0.001972463 0.020548906 0.0047256923 0.0029466082 0.0010732518 0.0012593789 0.0015252746 0.0035388304 0.0018612702 0.0018878597 0.00072275294 0.0009765625 0.00074450806 0.00071550126 0.00057530164 0.00063573255 0.0008170251 0.003720123 0.0009862315 0.00029006807 0.000299737 0.0003915919 0.00024655787 0.00045443999 0.0002489751 0.00033357827 0.00034566445 0.000971728 0.00048344678 0.00024655787 0.00017404085 0.00023688893 0.0004713606 0.0016364674 0.00045927445 0.00010877552 0.00014019957 0.00013778234 0.00010877552 0.00023930616 0.0001498685 0.00014019957 0.00020788211 0.0005922223 0.00038192296 0.00013294787 9.910659e-05 0.00013294787 0.00028281636 0.0025453472 0.00059463957 0.0006913289 0.00037225403 0.0006574876 0.00054387766 0.0005873878 0.00047377785 0.00037225403 0.00035533338 0.00063089805 0.0006115602 0.0003650023 0.00033116105 0.00037467125 0.00039400914 0.028400082 0.027425935 0.027616898 0.028006071 0.028223623 0.027404182 0.028298557 0.027657991 0.0277015 0.027716003 0.028223623 0.028213954 0.02759756 0.027916634 0.02756372 0.027578222 2132.0 22.662289 48316.0 0.0010969451 0.00068300357 0.00035185032 0.022290753 0.011466181 0.0006416094 0.0017385546 0.0007450948 0.0005588211 0.0006416094 0.00088997436 0.00084858015 0.00088997436 0.00134531 0.0022145873 0.0004553357 0.010990148 0.010907359 0.011321302 0.010472721 0.011486878 0.009996689 0.011528272 0.010493418 0.011362695 0.011135028 0.00049672986 0.00070370064 0.000538124 0.055530258 0.00068300357 0.0004760328 0.00035185032 0.017509727 0.011962911 0.013929133 0.014177498 0.012977067 0.012045699 0.012914976 0.010865966 0.013618677 0.0111557245 0.011693849 0.01190082 0.01190082 0.012645914 0.011383393 0.0127494 0.014218892 0.012873583 0.013784254 0.011838729 0.012025002 0.0112385135 0.012087094 0.011962911 0.011010845 0.010493418 0.00062091235 0.00043463864 0.00068300357 0.000538124 0.0138256475 0.000807186 0.018958524 0.013184038 0.016806027 0.013929133 0.03286696 0.01459144 0.016950907 0.01210779 0.01897922 0.0107210865 0.012563126 0.017033694 0.014260286 0.019351767 0.020800563 0.013287524 0.032246046 0.020283137 0.018379005 0.025271133 0.014632834 0.011590363 0.015046775 0.011921517 0.013577282 0.0099139 0.0006002152 0.000538124 0.00076579186 0.00097276265 0.0006623065 6.066408 0.0 0.0 0.0 9.0 208384.0 237568.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1424566100.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 116736.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116736.0 0.0 90624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6016703 0.0 7.9976254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116632.0 0.0 90244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 124728.0 90244.0 139264.0 0.0 0.0 0.0 0.0 12.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0