Input: 0.21029317 0.0037451675 0.0034532056 0.0032115818 0.0032719877 0.00326192 0.0032015142 0.0031511758 0.0029699581 0.0033625967 0.0028491463 0.003614288 0.0028189432 0.0034733408 0.002939755 0.004288821 0.003352529 0.0032115818 0.0028088756 0.0031310406 0.0026880638 0.0028692817 0.0030001611 0.0035941526 0.0029095523 0.0032719877 0.002829011 0.0034330701 0.003292123 0.0034733408 0.003060567 0.003030364 0.0029598905 0.0029296875 0.002768605 0.0030001611 0.0026779962 0.002768605 0.0028793493 0.003231717 0.0031310406 0.0033726643 0.0028692817 0.0031813788 0.0026075225 0.0031109052 0.0030706346 0.002939755 0.0031612436 0.0031914464 0.0029598905 0.003443138 0.0032216494 0.003120973 0.0029699581 0.0033726643 0.0028088756 0.0033625967 0.0028793493 0.0032820555 0.0026981314 0.003443138 0.0028592139 0.0033122583 0.0032015142 0.0031008376 0.0029800257 0.0030001611 0.003030364 0.0030404318 0.0030706346 0.0033021907 0.003060567 0.0029699581 0.0028793493 0.003322326 0.0029900933 0.0032820555 0.0031008376 0.0030001611 0.0029800257 0.00291962 0.002597455 0.0028793493 0.0029095523 0.003322326 0.0032820555 0.00309077 0.002537049 0.0031713112 0.002768605 0.0033927995 0.0026578608 0.0032115818 0.0029900933 0.003292123 0.0028994845 0.0030504994 0.0028491463 0.0032216494 0.0028592139 0.0031411082 0.003120973 0.0028592139 0.0025169137 0.003644491 0.0028994845 0.0031109052 0.0031109052 0.0032719877 0.0028592139 0.003231717 0.0025773195 0.003412935 0.0030504994 0.0031310406 0.0029296875 0.0031411082 0.0030807024 0.003382732 0.0027887404 0.00291962 0.0027887404 0.0027484698 0.0029598905 0.0031813788 0.0026880638 0.003231717 0.0027283344 0.0043894975 0.0027484698 0.0034834086 0.0031109052 0.0031310406 0.003292123 0.00326192 0.0029800257 0.0034532056 0.0031310406 0.0033021907 0.0027585374 0.0038257088 0.0030404318 0.0026779962 0.0030404318 0.003030364 0.0030807024 0.0031612436 0.0029598905 0.0031109052 0.0027081992 0.0028894169 0.0027081992 0.0030404318 0.0026981314 0.003352529 0.0031109052 0.0031612436 0.0026075225 0.0033726643 0.0028088756 0.003322326 0.0031109052 0.0032015142 0.0031612436 0.0032015142 0.0026578608 0.0029598905 0.0031008376 0.0030404318 0.0027887404 0.0028994845 0.0028894169 0.0032015142 0.0026779962 0.0034330701 0.003120973 0.0032417849 0.0032015142 0.0029800257 0.0029095523 0.0029498227 0.0028894169 0.0033726643 0.0028491463 0.0032015142 0.00309077 0.003120973 0.003030364 0.002829011 0.0032719877 0.0032719877 0.00326192 0.00326192 0.0027283344 0.0033122583 0.002798808 0.003644491 0.0033323937 0.0038961824 0.00326192 0.0033927995 0.003030364 0.0032417849 0.00291962 0.0036243557 0.0027786726 0.0028491463 0.0029699581 0.003382732 0.0025873873 0.0033726643 0.0031411082 0.003412935 0.0030404318 0.0031310406 0.0029095523 0.00326192 0.0030001611 0.0030706346 0.002939755 0.0035136114 0.0031109052 0.0032015142 0.0030504994 0.00309077 0.0029900933 0.0031511758 0.0031713112 0.003120973 0.0028592139 0.0032115818 0.0028793493 0.002939755 0.0028894169 0.003584085 0.002939755 0.003443138 0.0032015142 0.0032719877 0.003120973 0.0030706346 0.0029800257 0.0031612436 0.002738402 0.0031310406 0.0032115818 0.003553882 0.0029498227 0.0031511758 0.0032518525 0.003120973 0.0030404318 0.0030202963 0.003030364 0.0037149645 0.1875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006591797 0.00027974448 0.00021362305 0.0002187093 0.00025431314 0.0002593994 0.00025431314 0.0002644857 0.0002644857 0.00028483072 0.00027974448 0.00025431314 0.00027974448 0.00021362305 0.00028483072 0.0002187093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0047454834 0.000386556 0.000289917 0.00025431314 0.00032552084 0.00026957193 0.00047810873 0.00040690103 0.00081888837 0.00010172526 0.00013224284 0.0002593994 0.0006713867 0.00029500326 0.0003000895 0.00068155926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004216512 0.00068155926 0.00064086914 0.00082906085 0.0007375081 0.0007324219 0.0006154378 0.0008087158 0.0024668376 0.00047810873 0.00059000653 0.0009206136 0.0025075276 0.0009460449 0.0012817383 0.002380371 0.050628662 0.04894002 0.046758015 0.04928589 0.048360188 0.04714966 0.0475413 0.046905518 0.04810079 0.0476532 0.047958374 0.048380535 0.048309326 0.04907735 0.04840088 0.047383625 340.0 5.682353 1932.0 0.015527951 0.008799172 0.004658385 0.008281574 0.010869565 0.0077639753 0.00931677 0.012939959 0.008281574 0.009834369 0.013457557 0.010869565 0.0077639753 0.009834369 0.010869565 0.010869565 0.013975156 0.015527951 0.00931677 0.013975156 0.011904762 0.0067287786 0.011904762 0.014492754 0.010351967 0.015010352 0.007246377 0.011387164 0.008281574 0.016045548 0.008281574 0.012939959 0.007246377 0.009834369 0.00931677 0.010351967 0.008799172 0.010351967 0.0067287786 0.0124223605 0.0077639753 0.008281574 0.009834369 0.014492754 0.012939959 0.012939959 0.0077639753 0.00931677 0.0077639753 0.011904762 0.00931677 0.010869565 0.010351967 0.012939959 0.011387164 0.0077639753 0.011387164 0.010869565 0.0051759835 0.018115941 0.0062111802 0.010869565 0.011387164 0.00931677 0.0067287786 0.010351967 0.010351967 0.017080745 0.013457557 0.018115941 0.010869565 0.0062111802 0.0067287786 0.013457557 0.009834369 0.004658385 0.0124223605 0.0124223605 0.010351967 0.010869565 0.008799172 0.009834369 0.013975156 0.0124223605 0.011387164 0.0067287786 0.009834369 0.0077639753 0.010869565 0.011904762 0.0062111802 0.007246377 0.009834369 0.012939959 0.0062111802 0.008799172 6.530124 0.0 0.0 0.0 1.0 99328.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 512.0 512.0 4096.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.986877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.015514739 0.004880056 0.004510681 0.003997466 0.0044871257 0.0042164847 0.0041979407 0.0035879964 0.004324741 0.0042866506 0.004428988 0.003691241 0.004317223 0.003691241 0.0035218396 0.0035980202 0.00400348 0.0044259806 0.004459059 0.0038220505 0.0048544956 0.004424477 0.0037553927 0.0039227894 0.004380874 0.0040039816 0.003962884 0.0036451316 0.0035649417 0.003584488 0.003415087 0.0033499326 0.0041262712 0.0037604047 0.0045187003 0.003910761 0.0040721428 0.0044109453 0.0037458702 0.003584488 0.0049386946 0.004875044 0.0045723272 0.0039934567 0.0041067246 0.0040470837 0.0041257697 0.003841597 0.004378869 0.0040490883 0.004139302 0.003793483 0.0041548386 0.0036285925 0.0036195712 0.0035804785 0.003683723 0.0034707186 0.003750882 0.0036336044 0.003305327 0.0035158254 0.0033704813 0.0033098378 0.00456932 0.0040681334 0.0042916625 0.0038761788 0.004413952 0.005014374 0.004443021 0.0036977562 0.0043157195 0.00408367 0.00460741 0.0039769174 0.0040440764 0.003739355 0.0041222614 0.003461196 0.0047176713 0.0044735936 0.004558294 0.004119254 0.0044896314 0.004810391 0.0039503546 0.0041027153 0.0038030054 0.0039272998 0.003812027 0.0035398824 0.0037443666 0.0042936676 0.0036240818 0.003917276 0.0043964107 0.0037814544 0.0039613806 0.0034025572 0.003785464 0.0041658645 0.003860642 0.0034857544 0.004215482 0.003957371 0.0038611433 0.0034601938 0.0036902386 0.003611051 0.0037689249 0.0032897901 0.003536374 0.0035539158 0.0036797135 0.003482246 0.003917276 0.0040099956 0.0035854904 0.0035519109 0.0032953033 0.0034451582 0.003857635 0.0031725124 0.0033945383 0.0036952503 0.0033464243 0.0033659707 0.0048164055 0.004042573 0.0039328127 0.00394434 0.0041327863 0.0039323117 0.003715298 0.0034451582 0.003936321 0.0042505655 0.004866524 0.004013504 0.004179898 0.0042109718 0.0040345537 0.0033078329 0.00410472 0.003949853 0.0040475847 0.0035644406 0.0045352397 0.004306197 0.003807015 0.0039087557 0.003948851 0.0039318106 0.003766419 0.0034561842 0.0035318634 0.0038030054 0.0034601938 0.0033444196 0.004312211 0.004268107 0.004679581 0.0042054583 0.004306698 0.0042716153 0.003949853 0.0035935093 0.004418463 0.0040541003 0.0045808475 0.003839091 0.004533736 0.0037493785 0.0041067246 0.003637614 0.0038461075 0.0036050368 0.0038466088 0.0035664453 0.0039618816 0.0034807425 0.0035047994 0.0033093365 0.0035724596 0.0035854904 0.004129278 0.0036341057 0.0034812435 0.0035474002 0.0039719054 0.0035017922 0.0041458174 0.0038491148 0.003868661 0.0033734883 0.003667685 0.0038897109 0.003702267 0.0031785266 0.00406663 0.003606039 0.004144815 0.0036371127 0.003881692 0.0037513832 0.003512317 0.003294802 0.0039989697 0.004500658 0.0041062236 0.0035935093 0.003868661 0.0036496425 0.0036020295 0.0034812435 0.0036436282 0.0035874953 0.0035689513 0.003315852 0.0034752293 0.0034190963 0.003393536 0.0033283816 0.0036471365 0.0033739896 0.003570956 0.003418094 0.003492771 0.0036205736 0.0035163267 0.0032537049 0.004399919 0.0038420982 0.0037473738 0.0037358464 0.003734844 0.0036050368 0.0036050368 0.0033850158 0.0035293575 0.0032256383 0.0034511723 0.0031880492 0.00417238 0.00339103 0.0033900277 0.0031208904 0.0035504075 0.0033489303 0.0036556567 0.0033384054 0.0035774715 0.0034301225 0.0034521748 0.003812027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011566272 6.520448e-06 4.0125833e-06 0.00013266604 4.0125833e-06 4.0125833e-06 6.821392e-05 4.0125833e-06 6.821392e-05 4.0125833e-06 4.0125833e-06 6.821392e-05 4.0125833e-06 4.0125833e-06 4.26337e-06 4.0125833e-06 0.0039187893 4.9154147e-05 0.00017730604 0.0002186858 0.00036940846 0.00036063095 0.00011335548 2.9342016e-05 0.000106082676 2.5329433e-05 3.636404e-05 0.00011335548 3.636404e-05 3.611325e-05 3.4357745e-05 2.5078647e-05 0.00070270366 1.7304266e-05 3.5862464e-05 2.1818423e-05 0.00011536178 5.0658866e-05 7.0220212e-06 7.523594e-06 6.7712344e-06 1.0783818e-05 1.0783818e-05 9.780672e-06 7.774381e-06 7.0220212e-06 7.774381e-06 8.275953e-06 0.0003057087 4.764943e-06 7.548673e-05 4.764943e-06 4.26337e-06 5.5173023e-06 4.764943e-06 3.761797e-06 4.5141564e-06 2.5580219e-05 4.9154147e-05 7.0220212e-06 5.7680886e-06 3.761797e-06 4.5141564e-06 4.26337e-06 0.0014309876 3.5110104e-05 0.00014370064 3.88719e-05 9.103549e-05 3.485932e-05 0.00011159998 5.467145e-05 0.0002352377 3.686561e-05 8.52674e-05 2.8589657e-05 7.924852e-05 1.1285391e-05 0.00011084762 3.987505e-05 0.0011922389 9.003234e-05 5.74301e-05 4.2884487e-05 0.00018834064 0.00011084762 5.2915944e-05 3.636404e-05 0.00015122425 7.573752e-05 4.7147856e-05 5.1411225e-05 0.0001369294 5.4922235e-05 0.00010407638 0.00017555052 0.0018971997 7.247729e-05 0.0007799459 4.1630552e-05 0.00039223002 5.2414372e-05 0.00045517745 5.7179313e-05 0.0008637086 0.00011536178 0.0008835207 0.00014144357 0.0006510417 0.00015323053 0.00059010054 0.0005574983 0.00050633785 3.33546e-05 0.000233733 2.7837297e-05 7.498515e-05 2.6081792e-05 8.0251666e-05 2.8840444e-05 0.00010708582 2.1818423e-05 0.00011410784 8.9781555e-05 0.00010156852 2.2069209e-05 5.542381e-05 1.7555052e-05 0.0005248961 6.470291e-05 6.344898e-05 4.8151003e-05 6.896628e-05 5.3417516e-05 7.3480434e-05 0.00013391997 8.501661e-05 6.144268e-05 3.8621114e-05 5.0408078e-05 5.6426954e-05 3.1599095e-05 7.824538e-05 0.00010808897 0.0002482786 7.22265e-05 6.144268e-05 5.542381e-05 7.1975715e-05 5.1912797e-05 4.9154147e-05 3.71164e-05 7.7493016e-05 4.7398644e-05 5.3417516e-05 3.410696e-05 5.692853e-05 3.786876e-05 3.962426e-05 3.2853026e-05 0.065139025 0.06313901 0.06501464 0.058758017 0.06535019 0.065151066 0.059686426 0.05651097 0.063092105 0.061044935 0.065213256 0.057963524 0.05845231 0.058196254 0.056946836 0.054660916 9306.0 5.635719 52446.0 0.012870381 0.010963658 0.011440339 0.010239103 0.011058994 0.011974221 0.010162834 0.009876826 0.013861877 0.012794112 0.011516607 0.010544179 0.011287801 0.0100102965 0.010315372 0.010353507 0.011669145 0.0110971285 0.010506044 0.009972162 0.011402205 0.009743355 0.009609885 0.009171338 0.009667086 0.0096480185 0.010105632 0.008980666 0.008389582 0.00867559 0.008294245 0.008237043 0.012031423 0.01102086 0.011325935 0.009190406 0.010715784 0.013327994 0.01149754 0.009533616 0.011669145 0.011554742 0.012584372 0.011249666 0.010181901 0.010029363 0.010086565 0.009133204 0.013099188 0.01328986 0.013976281 0.010715784 0.011516607 0.012679708 0.010544179 0.011421272 0.011211532 0.011573809 0.010963658 0.009895893 0.009743355 0.01067765 0.009819624 0.009876826 0.011440339 0.01136407 0.010868322 0.009609885 0.010105632 0.01115433 0.01004843 0.009533616 0.010868322 0.0111161955 0.010410708 0.008637455 0.009686153 0.009609885 0.008923464 0.008370514 0.009247607 0.0100102965 0.009953095 0.009552683 0.009800557 0.010296305 0.009133204 0.009972162 0.008237043 0.009667086 0.011039927 0.0076268925 0.008065439 0.009247607 0.007893833 0.007931968 6.572957 0.0 0.0 0.0 41.0 1995264.0 4632576.0 0.0 0.0 5.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 4549632.0 1024.0 4096.0 10.0 3.0 0.0 10.0 10.0 0.0 0.0 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 -57856.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102912.0 -1126400.0 0.0 0.0 0.0 0.0 0.0 0.0 -14336.0 663040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 0.0 0.0 -7.9580636 0.0 0.0 0.0 0.0 -7.933461 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.944609 -7.980044 0.0 0.0 0.0 0.0 0.0 0.0 -4.9934773 7.9585795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36.0 0.0 0.0 -140600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 207985.0 -61440.0 0.0 0.0 0.0 0.0 -59564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102404.0 -2449372.0 0.0 0.0 0.0 0.0 0.0 0.0 -14200.0 1572864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 4560428.0 1570304.0 2891776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 4560705.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.025659008 0.004913813 0.004095788 0.0039371685 0.00493534 0.0038997794 0.0038748535 0.0037683516 0.004841301 0.0036822439 0.00359387 0.003529289 0.0042782007 0.003547417 0.0034352504 0.0045943074 0.004159236 0.0036788448 0.003618796 0.003476038 0.0039575626 0.0038408637 0.0034941663 0.0033060885 0.0035372202 0.0033718024 0.0033752015 0.003573476 0.0037819478 0.0034420483 0.0035032302 0.0034284524 0.004206822 0.0034409154 0.0036845098 0.0034386492 0.0039099767 0.003558747 0.0035326881 0.003574609 0.003626727 0.003481703 0.003611998 0.003563279 0.00366185 0.003600668 0.0034737722 0.0034477133 0.003643722 0.0034454472 0.003647121 0.0046260315 0.0034601763 0.003602934 0.0034783043 0.0034171224 0.0037083027 0.0036052 0.0034805702 0.0037830807 0.003613131 0.003600668 0.0034363833 0.0034533783 0.0039586956 0.0049228766 0.0040527345 0.0036595839 0.004339383 0.004900217 0.0039688926 0.003633525 0.0037456919 0.0039235726 0.0038499276 0.0035360872 0.0037207657 0.0040572663 0.003656185 0.0036074661 0.0052106585 0.0039632274 0.0037819478 0.004222684 0.0037434257 0.0038182037 0.004390368 0.004231748 0.0037649528 0.0036765789 0.00361653 0.0038046078 0.003618796 0.003691308 0.0039575626 0.0035304222 0.0034828363 0.0039258385 0.003640323 0.003595003 0.0037785487 0.0044436185 0.004150172 0.0034125904 0.004118448 0.0038691885 0.004295196 0.0035032302 0.0038487946 0.0037264307 0.0038046078 0.0037910116 0.0037173668 0.003628993 0.0040323404 0.0038929814 0.0053296234 0.0051234174 0.0036663818 0.0036845098 0.003511161 0.003624461 0.0034488463 0.0034431813 0.003632392 0.0038114057 0.0035043631 0.0033128865 0.0041377093 0.003721899 0.0035326881 0.0046894792 0.0040912563 0.0047325334 0.0038657896 0.0033627385 0.0040527345 0.004848099 0.003664116 0.00656799 0.0036652489 0.0052265204 0.003645988 0.0033321474 0.0037570219 0.00359387 0.0034465804 0.0034488463 0.003618796 0.0034919002 0.0037456919 0.0033808665 0.003604067 0.0035088952 0.0034080583 0.0032924926 0.0035156931 0.0035258902 0.0034783043 0.0035066293 0.0033831324 0.0034114574 0.003622195 0.0033786003 0.0035066293 0.003573476 0.0034499792 0.0035372202 0.0035156931 0.0034080583 0.0034069254 0.00359387 0.0034669742 0.003476038 0.0034443142 0.0035066293 0.0035428852 0.003522491 0.003575742 0.0034839693 0.003539486 0.0035032302 0.0036550518 0.0036663818 0.0035360872 0.003633525 0.0034239204 0.0034397822 0.0035553481 0.0033910633 0.0036312588 0.0034273192 0.004724602 0.0039349026 0.004188694 0.0038306667 0.0038941146 0.003615397 0.0040062815 0.0037796816 0.0037173668 0.003692441 0.003606333 0.003675446 0.003657318 0.0036369239 0.0036425889 0.003541752 0.003628993 0.003553082 0.003596136 0.0035836732 0.0034885013 0.0034658413 0.0035542152 0.003516826 0.0034465804 0.0034771713 0.003573476 0.003567811 0.0033446103 0.0032845614 0.0033593394 0.0033774674 0.0036663818 0.0033695365 0.0034250533 0.003567811 0.003534954 0.0035304222 0.0034703733 0.0034726392 0.0056343996 0.0037785487 0.0034341172 0.004332585 0.0039269715 0.0034035263 0.0032720985 0.0034012604 0.0037445587 0.003698106 0.0035032302 0.0034692402 0.0037728837 0.0035145602 0.003630126 0.0036901748 0.004279334 0.0039417003 0.0038578585 0.0037978096 0.004644159 0.004132044 0.004177364 0.021040907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016874091 1.8736373e-05 2.55496e-05 1.8168605e-05 6.075127e-05 2.6685138e-05 8.459757e-05 3.8040514e-05 2.6685138e-05 2.8388445e-06 6.245458e-06 6.245458e-06 6.8132267e-06 5.10992e-06 8.516534e-06 0.0003031886 0.0020348837 1.6465297e-05 4.769259e-05 7.66488e-05 6.3590116e-05 7.097111e-05 0.000120367 5.9047965e-05 4.3150438e-05 1.4761991e-05 1.7033068e-05 2.2142987e-05 2.9523982e-05 1.8736373e-05 3.576944e-05 0.0008175872 0.0005972929 9.652072e-06 8.9707486e-05 3.2362826e-05 2.4981831e-05 2.2710756e-05 0.00031340844 0.00018338935 1.9871912e-05 1.4761991e-05 1.6465297e-05 3.122729e-05 3.122729e-05 5.280251e-05 4.0311592e-05 0.0008454079 0.003186319 3.8608287e-05 0.00033555142 0.00010901163 0.00016749183 0.00014648438 0.0010622956 0.0005314317 6.188681e-05 2.55496e-05 8.516534e-06 9.084302e-06 2.043968e-05 3.4066134e-06 1.7033067e-06 0.00010617278 0.0034117233 0.0003599655 0.00036621094 0.0005518714 0.0010083575 0.00066769624 0.0018832894 0.0011190725 9.6520715e-05 6.245458e-05 7.835211e-05 8.459757e-05 0.0001515943 0.00015556868 0.00017203398 0.0014585983 0.0004837391 2.1007449e-05 3.009175e-05 3.9743823e-05 0.00011809593 0.00016011082 0.00025436046 0.00017657613 5.734466e-05 2.8956214e-05 3.3498363e-05 3.5201672e-05 8.57331e-05 8.6300875e-05 0.00012207031 0.00059275073 0.0010730833 8.743641e-05 0.00010901163 5.564135e-05 0.0001532976 0.0002282431 0.00010730832 0.00014761991 0.00018452489 5.564135e-05 6.642896e-05 7.2106646e-05 0.00024981832 8.232649e-05 0.00010106286 0.00071482104 0.0007267442 0.0003576944 0.00044229196 0.000766488 0.0009873501 0.0009436319 0.0007500227 0.0009004815 0.0007994186 0.0010628634 0.00097145257 0.0013081395 0.0021512765 0.0010009765 0.0011520031 0.008934979 0.013750795 0.0021262944 0.0015818041 0.0022296284 0.0045001362 0.004454147 0.0022807277 0.0038795648 0.0092114825 0.0012894032 0.0009214889 0.0018418423 0.004078284 0.0016800282 0.0037767987 0.009839435 0.00546364 0.0012133222 0.00078749546 0.0011537063 0.0026520486 0.0023727063 0.0012598792 0.0018435456 0.0034849655 0.00037756632 0.00039914154 0.0006256813 0.0016363099 0.00078125 0.0016908158 0.004490484 0.05377453 0.053314634 0.054008447 0.052992143 0.05382279 0.053978357 0.053293627 0.05248683 0.05319711 0.053400367 0.053169288 0.052515782 0.05273381 0.05196959 0.05214503 0.05087209 4026.0 6.405365 25788.0 0.015162091 0.007988212 0.010547541 0.008414767 0.008880099 0.008065767 0.008763766 0.008647433 0.009578099 0.009384209 0.009733209 0.008375989 0.009229098 0.009694432 0.011206763 0.0091515435 0.008647433 0.009733209 0.008375989 0.009733209 0.007949434 0.009461765 0.00903521 0.007639212 0.008143323 0.0091515435 0.009267877 0.008143323 0.01039243 0.0082208775 0.0091515435 0.009073988 0.008298433 0.012214984 0.0091515435 0.010702653 0.013261982 0.009694432 0.012176206 0.011323096 0.008686211 0.0120210955 0.0081821 0.008375989 0.01039243 0.009578099 0.010276098 0.010469986 0.012408872 0.009112766 0.009733209 0.012835427 0.011323096 0.009616876 0.009461765 0.012253761 0.010159764 0.009422988 0.008143323 0.008957655 0.00903521 0.008298433 0.008763766 0.0077167675 0.007910656 0.015898868 0.010120987 0.012214984 0.013727315 0.026330076 0.010276098 0.009073988 0.011167985 0.017682644 0.009771987 0.008569878 0.014580425 0.01209865 0.014270203 0.016480533 0.012253761 0.008414767 0.016751979 0.015782535 0.020474639 0.010974096 0.008880099 0.009345432 0.009849543 0.011516985 0.008647433 0.0077555454 0.008375989 0.008686211 0.008104545 0.007018768 6.535742 0.0 1.0 0.0 10.0 882614.0 245760.0 1.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1339248000.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 74752.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 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 -74752.0 0.0 50176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.75 0.0 0.0 0.0 0.0 0.0 5.0992055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5491414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.566186 0.0 6.3963003 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 7445.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74526.0 0.0 49856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 51.0 89232.0 220.0 85232.0 49856.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 82640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 712.0 81920.0 0.0 0.0 0.0 0.0


Input: 0.034908414 0.0052263443 0.004997919 0.004230214 0.0038370923 0.0036159067 0.0049567847 0.003927874 0.003824919 0.0035750908 0.00465341 0.0036359567 0.0036459814 0.0040991735 0.0037596773 0.0037830689 0.0033074403 0.0037381952 0.0035767616 0.003635877 0.0035592576 0.0034811266 0.0036104168 0.003713849 0.0035466866 0.0036692936 0.0035006197 0.0036665883 0.0038063808 0.0036159863 0.0037694636 0.0039344775 0.008316418 0.0033286042 0.0040492075 0.0036574386 0.003462827 0.003460122 0.0035501875 0.0038535618 0.004255674 0.0035678505 0.0038539595 0.0037651672 0.003844571 0.0036236243 0.0036361953 0.0040741903 0.0035833654 0.0035436633 0.0034802514 0.003714008 0.0035920376 0.0034912312 0.0035979254 0.0036853652 0.0035039613 0.0037443216 0.004014359 0.0036822623 0.0042645056 0.0040719626 0.004282328 0.003987069 0.0032574746 0.003509133 0.0034560643 0.0036592686 0.0034915495 0.0036447882 0.0035949019 0.0038384448 0.0033702157 0.0039215884 0.0034396742 0.0035411173 0.0035094512 0.0036031764 0.0037373996 0.0038729752 0.003523136 0.0034308427 0.0036295915 0.0036124855 0.0036098599 0.0033973467 0.0035849565 0.0036155884 0.0036295915 0.00350603 0.003545175 0.0035435043 0.003542629 0.0036100985 0.003695788 0.0041193026 0.0033986992 0.0049675256 0.0037335805 0.0041168365 0.0038618364 0.006002642 0.0038393994 0.0041920235 0.0040765773 0.004620471 0.0035193965 0.0036876725 0.004393557 0.0042824866 0.0046562743 0.005331845 0.0042645056 0.0037258628 0.0048988624 0.004795669 0.0051321415 0.0041709393 0.0038347053 0.0037930142 0.0044788485 0.0040905806 0.003830409 0.004023111 0.004055493 0.004039421 0.0041459566 0.0042937053 0.003776306 0.0036578365 0.003480172 0.0037224416 0.0035945838 0.0037264198 0.0039159395 0.0038787038 0.0036513917 0.0036317396 0.0036873543 0.0038452873 0.0036348426 0.0036954698 0.0038150533 0.0038970828 0.0034086446 0.0035416742 0.0036369113 0.0039237365 0.003457019 0.0035784324 0.0037791703 0.0037673153 0.0034161236 0.0035189192 0.0035788303 0.0035989597 0.0035676118 0.0037148036 0.0037761468 0.0039299424 0.003352871 0.0036695322 0.0037510844 0.0035867866 0.0036200439 0.0036342063 0.0033808772 0.003672317 0.0033672717 0.0034036322 0.0032869927 0.0034558256 0.0034945728 0.0035993576 0.0035414356 0.003730955 0.003552097 0.0035321265 0.0034719768 0.0036046882 0.0035322062 0.0034283763 0.003400927 0.0035496305 0.0034520065 0.0034442889 0.0034454027 0.0035719082 0.003624022 0.0035743746 0.0036961064 0.003973384 0.0033848553 0.0034297288 0.0034243981 0.0037749533 0.0036194075 0.0035412763 0.0036236243 0.003679239 0.0033737165 0.0034295698 0.003380161 0.0037186227 0.0034667258 0.0035688053 0.0034761142 0.003829852 0.0034734886 0.0037008005 0.0034816836 0.0035154184 0.003322637 0.003324785 0.0033534279 0.0034680783 0.00349147 0.0034734886 0.0034394355 0.0034433343 0.0034363326 0.0033886742 0.0035664183 0.0038596087 0.003466169 0.0036033357 0.0037133715 0.0036304668 0.0034239208 0.0036520283 0.0034609176 0.003717111 0.0035978458 0.0035637927 0.003423523 0.0035702374 0.0035073825 0.0034806493 0.0034602017 0.0038058239 0.0037698613 0.0038720204 0.0036237037 0.0036212374 0.0036510737 0.0035528927 0.0036072342 0.0037843417 0.0039522997 0.0038483902 0.0036829785 0.0038405135 0.0039296243 0.003847674 0.0041397503 0.01188769 7.956999e-08 0.0 0.0 7.956999e-08 7.956999e-08 1.5913999e-07 2.3871e-07 1.9892498e-07 2.3871e-07 6.7634494e-07 3.9784996e-07 6.7634494e-07 5.9677495e-07 5.1720497e-07 9.946249e-07 0.0005654243 5.1720497e-07 3.9784997e-08 1.5913999e-07 2.7849498e-07 2.7849498e-07 2.7849498e-07 2.3871e-07 6.3655995e-07 3.5806497e-07 4.3763495e-07 3.1827997e-07 4.7742e-07 6.3655995e-07 5.1720497e-07 5.5698996e-07 0.0001572303 7.081729e-06 6.7634494e-07 5.9677495e-07 1.3129048e-06 1.8301098e-06 1.9494648e-06 1.7107548e-06 1.5118299e-06 1.8698948e-06 2.3473146e-06 2.5462398e-06 1.9892498e-06 2.7451647e-06 2.4268847e-06 3.1827997e-06 0.00045510055 1.3049478e-05 9.150549e-07 1.0344099e-06 1.5118299e-06 2.1483897e-06 1.7903247e-06 1.8698948e-06 1.4720448e-06 1.3924748e-06 1.6709698e-06 2.1881747e-06 1.7107548e-06 2.1086048e-06 1.7505398e-06 1.8698948e-06 0.00028943585 0.00015468406 4.4161343e-06 6.445169e-06 5.888179e-06 6.803234e-06 6.246244e-06 9.667754e-06 7.081729e-06 3.7000045e-06 4.9731243e-06 4.5354896e-06 4.8139846e-06 4.4957046e-06 4.7344147e-06 5.1322645e-06 0.0006626589 0.0021352607 3.4692515e-05 5.008931e-05 6.9186106e-05 9.158506e-05 1.9494648e-05 6.0314054e-05 2.8565626e-05 2.2160242e-05 2.5740892e-05 6.843019e-05 1.5993568e-05 4.9572103e-05 2.1961318e-05 3.831295e-05 0.0020759413 0.003399787 6.556567e-05 6.210438e-05 6.46904e-05 0.00016928515 4.8537695e-05 0.00028645198 0.00011187541 5.6255984e-05 4.9890383e-05 0.00013984425 3.2941974e-05 0.00010543024 4.2012955e-05 4.945275e-05 0.00020465402 0.002295276 0.00010005926 0.00037564992 0.00012774962 0.0005534093 0.00049488555 0.0034976183 0.0014467416 2.1841963e-05 2.4666697e-06 3.5408646e-06 3.1430147e-06 5.2118344e-06 6.9225894e-06 3.5010796e-06 2.4746267e-05 0.0060554356 0.00064228894 0.005424724 0.0014852136 0.00038376608 0.00035898 0.005167713 0.0030189252 0.00013713888 5.736996e-05 5.7051682e-05 6.2303305e-05 0.00012074746 8.191731e-05 4.6230165e-05 0.0002033809 0.007416003 0.0010231906 0.0024590709 0.00090140867 0.00047284467 0.00042669408 0.0019760013 0.001486089 0.00027929066 0.0001649486 0.00015528084 0.000118479715 0.00011183562 0.000114023795 0.00013503028 0.0001964583 0.010680202 0.0013238059 0.001201308 0.00078746444 0.0006615051 0.0006206061 0.0008626581 0.00095997215 0.00074047834 0.00050733826 0.00053069205 0.00039025102 0.00037135315 0.00026309816 0.00037191014 0.00058615237 0.006131067 0.00087721937 0.00082215696 0.0005454523 0.00052723073 0.00053093076 0.0004751522 0.00042971774 0.0006162298 0.00051382324 0.00036443057 0.00033128966 0.00032396923 0.00022028953 0.0002765057 0.00062164053 0.0034551278 0.00042916075 0.0005409964 0.000541434 0.0005163695 0.00052667374 0.00043580483 0.0003892166 0.00060509 0.0004923791 0.00050801464 0.00033821224 0.0003264359 0.00027368098 0.0002453143 0.000561048 0.0021033532 0.00048617265 0.00040206718 0.00046210273 0.00053021463 0.00046830918 0.0003992822 0.00053069205 0.0006537868 0.0005544437 0.0007061041 0.00061587174 0.00055770605 0.00033160794 0.00027193045 0.0008668753 0.0030001865 0.0016774945 0.0019006884 0.0018954766 0.0021352607 0.0023329922 0.0027753615 0.0035363291 0.003700482 0.00246476 0.0020109725 0.0017099591 0.0015522912 0.0012274069 0.0012541822 0.0025957322 0.049804527 0.05146738 0.051051192 0.05334969 0.051396366 0.051759485 0.052730914 0.055624913 0.05277229 0.053354025 0.051995687 0.05322747 0.053188164 0.053148896 0.054376103 0.05854887 60602.0 9.869955 598139.0 0.103803635 0.0045875623 0.019811448 0.0059802155 0.007331072 0.0050406344 0.0055304873 0.005833092 0.004651093 0.0060688234 0.004758091 0.0048935115 0.007551756 0.0060905577 0.0059417626 0.010915523 0.0057979836 0.005894951 0.005761203 0.007931267 0.0053800205 0.005463613 0.005555565 0.005002182 0.005054009 0.0052964278 0.011350204 0.0055455337 0.01513695 0.012674311 0.014973109 0.0053482554 0.0050322753 0.006016996 0.006073839 0.0077624097 0.006647284 0.00954962 0.006366413 0.008802302 0.0052629905 0.0074046333 0.004873449 0.005085774 0.005766218 0.0071555274 0.005848139 0.006224306 0.0063881474 0.0050205723 0.0063279606 0.0077072387 0.008967815 0.005789624 0.0052763657 0.0056809536 0.0049135736 0.005294756 0.005094134 0.0048918393 0.0049052145 0.0049938224 0.005609064 0.00997427 0.004739701 0.028371332 0.008628429 0.014647097 0.012164396 0.05430176 0.0077908314 0.014595269 0.009064782 0.02439065 0.0047664507 0.007571819 0.019876651 0.019893369 0.025188126 0.02225068 0.015150324 0.0063496944 0.021759156 0.025046017 0.031206792 0.015944455 0.008011515 0.006236009 0.014790877 0.011035896 0.005777921 0.0054034265 0.006386475 0.005463613 0.0057528433 0.005781265 6.084363 1.0 23.0 0.0 181.0 12568632.0 12591104.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 3535181000.0 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 12558848.0 512.0 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 -12558848.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -7.916925 0.0 3.3932846 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 -12558772.0 0.0 1028.0 0.0 0.0 0.0 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 12566857.0 1028.0 12574720.0 0.0 0.0 7224.0 12561408.0 12.0 12582912.0 56.0 12566688.0 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: 0.7237008 0.0032747246 0.001582149 0.0020486068 0.002490314 0.0010833247 0.0011214028 0.0010642855 0.0022504213 0.0011023637 0.0011651927 0.00073300523 0.0016735366 0.0009214923 0.00069873483 0.0014241245 0.0020276639 0.00087579846 0.00058450026 0.00075966 0.001159481 0.0011252107 0.0006340019 0.00058450026 0.0013612955 0.00069873483 0.0009195884 0.00068159966 0.00091768446 0.00059782766 0.0009919369 0.00077679515 0.003074814 0.00065875275 0.00083200855 0.0008453359 0.0018639276 0.000843432 0.00079583423 0.00065684883 0.00074252475 0.00050072826 0.0005045361 0.00069302315 0.0007063505 0.00070063875 0.0010357269 0.00061496283 0.0011004598 0.0008662789 0.0009100688 0.0016126115 0.0010585738 0.0017953868 0.0007653717 0.0007482365 0.0008491437 0.0008777024 0.0007901225 0.0013346407 0.0009957447 0.0010852285 0.0007920264 0.0011004598 0.0013746228 0.0011271145 0.0009405314 0.0035641189 0.0013422563 0.0016411701 0.0009329157 0.0010395347 0.0011823279 0.00087579846 0.0006244824 0.00059401983 0.0008586633 0.0010623815 0.0007939303 0.000717774 0.002170457 0.0011004598 0.0015554941 0.0013993736 0.001264196 0.0011766162 0.0021609375 0.0012413491 0.0010642855 0.0016525936 0.00057688466 0.0014926651 0.0007863147 0.0014374518 0.0009329157 0.0010185917 0.0008815102 0.0020124326 0.00065684883 0.0013022742 0.001327025 0.002954868 0.0009767057 0.00090626103 0.0014698183 0.0021266672 0.0013803345 0.0007463326 0.0015345511 0.00093672355 0.0016259389 0.0017763478 0.0011080754 0.00059401983 0.0024084458 0.0018144259 0.003329938 0.0036345636 0.0010204955 0.0016373623 0.0011518653 0.00087389455 0.000611155 0.00083010463 0.00122231 0.0009100688 0.0006968309 0.00083200855 0.0016183233 0.0008453359 0.0005787885 0.0024141574 0.0011004598 0.0016107076 0.0005159595 0.00049882435 0.0010376307 0.0020086246 0.0010661894 0.005228136 0.0010509582 0.0016640171 0.00049692043 0.0006511371 0.0007291974 0.0005369025 0.0004931126 0.0006435215 0.00080916163 0.00067779183 0.00074442866 0.0005102478 0.0005349986 0.0005711729 0.0015992841 0.00057498075 0.00081106555 0.0005349986 0.0004912087 0.00061496283 0.00070254266 0.00081868115 0.0004931126 0.0007272935 0.0008815102 0.00073300523 0.00078821863 0.0005578455 0.00078821863 0.00043599532 0.00046645786 0.00052167126 0.00077489123 0.00049692043 0.0004721696 0.00050072826 0.00062638626 0.00050644 0.00058069243 0.00060163543 0.00058069243 0.0005502299 0.00056355726 0.0009614744 0.00071587006 0.0005311908 0.000885318 0.0006758879 0.00079583423 0.000527383 0.0005330947 0.0009005493 0.0017934829 0.0010852285 0.0006835036 0.0013746228 0.0010776129 0.00057688466 0.0008491437 0.0009671861 0.0008700867 0.0014260283 0.0004702657 0.00054071035 0.0016544975 0.0009919369 0.00051976735 0.0004874009 0.0010585738 0.0015973803 0.0006130589 0.00069302315 0.0006473293 0.00052167126 0.000864375 0.00056165335 0.00085295155 0.0005883081 0.00047597743 0.0006092511 0.00065684883 0.000548326 0.0005711729 0.0005502299 0.0010566699 0.0006130589 0.00057307683 0.0013041781 0.0010433425 0.0009786095 0.000569269 0.00059782766 0.002760669 0.0008872219 0.00054071035 0.0011271145 0.0016088036 0.0005787885 0.0005445182 0.00060163543 0.0010909402 0.0005673651 0.0004702657 0.0008262968 0.0014907613 0.000548326 0.0016583053 0.0007520443 0.0013384485 0.001285139 0.00058450026 0.000632098 0.0013612955 0.0006835036 0.001264196 0.011549116 0.6164383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018766817 9.555406e-06 9.555406e-06 1.9110812e-06 1.0510947e-05 9.555406e-07 1.4333109e-05 1.1466487e-05 1.9110812e-06 1.9110812e-06 1.9110812e-06 1.9110812e-06 5.7332436e-06 2.8666218e-06 2.8666218e-06 2.8666218e-06 0.0036224544 3.8221624e-05 2.0066353e-05 1.719973e-05 4.0132705e-05 1.4333109e-05 3.5355002e-05 1.8155271e-05 5.5421355e-05 6.688784e-06 2.8666218e-06 7.644325e-06 7.644325e-06 2.8666218e-06 4.777703e-06 2.0066353e-05 0.006908559 8.886528e-05 6.5932305e-05 5.2554733e-05 0.00014428663 3.439946e-05 0.00010606501 9.459852e-05 0.00011657595 3.153284e-05 1.9110812e-05 2.8666218e-05 2.3888515e-05 1.9110812e-05 2.7710677e-05 6.5932305e-05 0.0016463965 2.7710677e-05 1.719973e-05 4.3954868e-05 2.4844056e-05 1.8155271e-05 3.439946e-05 1.0510947e-05 7.644325e-06 5.7332436e-06 1.1466487e-05 1.2422028e-05 9.555406e-06 8.599865e-06 7.166555e-05 6.688784e-06 0.0015852419 1.3377568e-05 4.777703e-06 2.1021893e-05 3.248838e-05 6.688784e-05 2.1977434e-05 1.528865e-05 7.930987e-05 1.9110812e-05 5.7332436e-06 3.8221624e-06 1.8155271e-05 1.2422028e-05 1.1466487e-05 4.586595e-05 0.005909063 0.00016435298 0.00015193096 5.1599192e-05 0.00032392825 0.00019588582 0.00029048434 0.00016817515 9.077636e-05 5.9243517e-05 8.026541e-05 4.873257e-05 4.873257e-05 7.2621086e-05 3.7266083e-05 0.00013473122 0.016846182 0.0005150364 0.0013798006 0.0006927669 0.00045483734 0.00031150624 0.0025694487 0.001470577 0.0003975049 6.5932305e-05 8.217649e-05 0.000113709335 0.0002331519 4.968811e-05 0.00034399462 0.0038278957 0.0065693418 0.00013377568 0.0004280822 0.000176775 0.0006449899 0.00042521558 0.0008284537 0.00069085584 0.00035832773 2.3888515e-05 3.439946e-05 0.00012135366 7.453217e-05 5.2554733e-05 0.00022646312 0.00095267396 0.0036845645 8.1220955e-05 0.00058001315 0.0006172792 0.0007271664 0.00039846043 0.0022913865 0.0011284935 2.9621759e-05 3.248838e-05 3.9177165e-05 3.9177165e-05 3.9177165e-05 3.248838e-05 3.5355002e-05 2.8666218e-05 0.0051159644 0.00013568677 0.00082463154 0.00022455204 0.0009918512 0.00061059045 0.0029115323 0.0015737754 0.00017008623 9.077636e-05 0.00010033177 0.00013759785 0.00011657595 0.000111798254 0.00021595218 0.0003669276 0.045606997 0.002797823 0.0026898468 0.0050328323 0.0028857326 0.0029698203 0.003202972 0.003396947 0.002843689 0.0024891833 0.0025493824 0.002768201 0.0024222955 0.0025111607 0.0029124878 0.0029401984 0.003916761 0.00032870597 0.0005265029 0.00029335095 0.00045005963 0.0004328599 0.0005933907 0.0005742799 0.00064976764 0.0002073523 0.00017773056 0.00021499663 0.0003669276 0.00021595218 0.00027615123 0.0005599468 0.0085683325 0.001528865 0.0014600661 0.0013587788 0.0029344652 0.0038059182 0.001765839 0.0029440206 0.0048866346 0.0013377569 0.0005121698 0.0005809687 0.0029440206 0.0011237158 0.0016148636 0.003729475 0.012041722 0.0028876436 0.002071612 0.002580915 0.0038785394 0.005520158 0.0021470997 0.0047270595 0.0072601973 0.0016091304 0.001268958 0.0012594025 0.0042483336 0.0018298603 0.0036243654 0.0076242583 0.0060437946 0.0059233964 0.004810191 0.0055086915 0.0051446306 0.006227258 0.005794398 0.0058641527 0.0054714256 0.0048914123 0.005274584 0.0051694745 0.0047910805 0.005351983 0.0059644845 0.0058316644 812.0 13.584975 11031.0 0.039978243 0.0017224186 0.004532681 0.0017224186 0.0059831385 0.0013598042 0.0014504578 0.0052579097 0.0029915692 0.001178497 0.0021756866 0.0019037259 0.0031728765 0.005167256 0.007705557 0.0038981054 0.0109690875 0.0085214395 0.010334512 0.008974708 0.007886864 0.007705557 0.007433596 0.004713988 0.0068896743 0.0067083673 0.0067083673 0.0057111774 0.0068896743 0.008068171 0.00652706 0.0059831385 0.0040794127 0.015592421 0.003988759 0.009699937 0.017133532 0.005620524 0.0071616354 0.012782159 0.005076602 0.011603663 0.0018130722 0.0033541836 0.0059831385 0.0061644455 0.009337322 0.0042607198 0.016952226 0.0036261445 0.008430786 0.013598042 0.008158825 0.0038981054 0.009337322 0.010062551 0.009156015 0.002356994 0.0017224186 0.0030822228 0.004170066 0.0030822228 0.0027196084 0.005892485 0.006073792 0.03490164 0.006073792 0.027377391 0.019218566 0.07379204 0.008340132 0.010515819 0.010787779 0.034448374 0.0042607198 0.00326353 0.030550268 0.013235427 0.0326353 0.038527787 0.015139153 0.0029915692 0.043332428 0.027377391 0.05448282 0.017949415 0.009337322 0.0043513733 0.0075242496 0.009699937 0.0031728765 0.0018130722 0.0022663404 0.0019037259 0.0017224186 0.002810262 5.9226413 0.0 1.0 0.0 5.0 525235.0 540672.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 963899400.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2048.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -265728.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.909226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.073034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.759129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2516437 0.0 5.898484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152809.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 13312.0 0.0 0.0 0.0 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 226396.0 13312.0 102400.0 0.0 0.0 0.0 0.0 3264.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 8192.0 0.0 0.0 316.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.29425716 0.0032497374 0.0027081145 0.0025603992 0.004144236 0.0026917018 0.0024865414 0.0023060006 0.0027901786 0.0021993173 0.0024126838 0.0023470325 0.0025439863 0.0021254595 0.0022649686 0.0029050682 0.00253578 0.0022239364 0.0033482143 0.0028968619 0.0023634455 0.0024537158 0.0025111607 0.0026424632 0.0027163208 0.0021829044 0.002494748 0.002355239 0.0026834952 0.0028312106 0.003463104 0.0035779937 0.0028886555 0.003340008 0.0026670825 0.00221573 0.005654215 0.0027737657 0.00253578 0.0022977942 0.0032251182 0.0031676732 0.002355239 0.0032743567 0.0019449185 0.002314207 0.0022403493 0.0026917018 0.0029543068 0.0030856093 0.0026342568 0.0022075237 0.0026260505 0.0024126838 0.0021418724 0.0020598082 0.0025686056 0.00253578 0.0023716518 0.0023224133 0.003340008 0.0034959295 0.0021993173 0.002757353 0.004694065 0.0027655594 0.0020023636 0.0037831538 0.0037667411 0.0063353465 0.0033071823 0.0023388262 0.0029871324 0.0026834952 0.002232143 0.0021993173 0.0031840862 0.004283745 0.0020680148 0.0023634455 0.003019958 0.0031512605 0.0036682643 0.003930869 0.0024208901 0.0034877232 0.003003545 0.0036190257 0.0023388262 0.0024701287 0.0037667411 0.002617844 0.0026752888 0.002576812 0.0030281644 0.0035944064 0.0021911107 0.0028312106 0.0025603992 0.0025603992 0.003930869 0.003282563 0.003947282 0.0024701287 0.002617844 0.002699908 0.002355239 0.002519367 0.0031102286 0.0036764706 0.002519367 0.003159467 0.0025850183 0.0024208901 0.0032579438 0.002396271 0.004086791 0.0031512605 0.0021829044 0.0030281644 0.0022977942 0.0028312106 0.0020598082 0.0016823135 0.002839417 0.0022485557 0.001953125 0.0019285057 0.0029953388 0.002576812 0.0021582851 0.003643645 0.0025521927 0.0023880645 0.002576812 0.0026014312 0.0030117517 0.0063763787 0.0031758798 0.0063107274 0.004267332 0.0031758798 0.0021254595 0.0022239364 0.0023880645 0.0025932249 0.0024290967 0.002273175 0.0027081145 0.0023306198 0.0031922925 0.0028640362 0.0030856093 0.0030117517 0.0034795168 0.0026260505 0.0033482143 0.0024537158 0.0022239364 0.0020433955 0.0021993173 0.002355239 0.002314207 0.00221573 0.0030856093 0.0026014312 0.0026834952 0.0032907694 0.002757353 0.002437303 0.0023634455 0.0021172531 0.002781972 0.0028065913 0.0026096376 0.0021090468 0.0023716518 0.0022895876 0.0037995668 0.002437303 0.0026752888 0.0022485557 0.003865218 0.0018956801 0.0025932249 0.0022895876 0.002133666 0.002273175 0.0021911107 0.0027245274 0.0023470325 0.0018956801 0.0024126838 0.0025439863 0.0037913602 0.0025850183 0.0037010899 0.0022649686 0.0041524423 0.0037421219 0.0023060006 0.0024537158 0.0022813813 0.0024044774 0.002699908 0.00306099 0.002494748 0.0021582851 0.0035123425 0.00285583 0.0024290967 0.0029707195 0.0024455094 0.0021911107 0.0021500788 0.0032333245 0.0023716518 0.0029378938 0.0034466912 0.0026096376 0.0024290967 0.002478335 0.002437303 0.0023060006 0.002314207 0.0025850183 0.0026917018 0.0020762212 0.0027655594 0.0025686056 0.0022813813 0.002519367 0.002617844 0.0029461004 0.0021254595 0.002781972 0.0026014312 0.0027491464 0.0020762212 0.0025686056 0.0024701287 0.0025850183 0.00221573 0.0021582851 0.0024455094 0.0028147977 0.0026588761 0.002519367 0.0030281644 0.0023798582 0.0025029543 0.0033564207 0.0023224133 0.0023306198 0.0022075237 0.0055885636 0.1779661 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0078125 5.3793698e-05 3.3103814e-05 4.965572e-05 2.482786e-05 4.5517743e-05 1.241393e-05 6.206965e-05 3.724179e-05 4.965572e-05 4.5517743e-05 4.965572e-05 4.965572e-05 3.3103814e-05 7.03456e-05 4.5517743e-05 0.022266453 0.0001406912 0.00014482919 0.0001241393 0.0004055217 0.0002524166 0.000881389 0.00048414327 9.103549e-05 6.620763e-05 4.965572e-05 0.00012827727 0.00012827727 7.03456e-05 9.931144e-05 9.103549e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019642975 0.00028965838 0.00055448886 0.00034345206 0.00096001057 0.000355866 0.00057517877 0.00039724575 0.0004262116 0.00019862287 0.0002524166 0.00020689884 0.0002648305 0.00021931276 0.00026069253 0.00047586733 0.018728482 0.0003889698 0.00040138373 0.0006744902 0.00089380296 0.00041793563 0.0004096597 0.00040138373 0.0002979343 0.0003889698 0.00036000396 0.00033931408 0.00046345338 0.00033103814 0.00045517745 0.00047172935 0.009840108 0.00023172669 0.00023172669 0.00026069253 0.0010427701 0.00055862684 0.0020400225 0.0010344941 0.00023586467 0.00021931276 0.00021931276 0.00019862287 0.00021517479 0.00024000264 0.0001944849 0.00018620896 0.0049779858 0.00016965704 0.00022345074 0.00014482919 0.00043034958 0.00037655586 0.00017379502 0.00016965704 0.0007448358 2.8965836e-05 5.7931673e-05 6.620763e-05 0.00033103814 0.00015724312 0.00023586467 0.00018620896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012442896 0.00077380164 0.0007944915 0.0008524232 0.0016510527 0.00106346 0.0020524363 0.0011503575 0.00059173064 0.0007655257 0.00058345473 0.00049241923 0.0006951801 0.00064966234 0.0003724179 0.00049241923 0.0075352555 0.00055448886 0.00057931675 0.00068276614 0.0005669028 0.0006869041 0.0005875927 0.0006579383 0.0006869041 0.00067862816 0.00048828125 0.0006579383 0.0006413864 0.0006538003 0.0006331104 0.0006579383 0.0027186507 0.00023172669 0.0005006952 0.00015310514 0.0009103549 0.0003889698 0.0002689685 0.0003186242 0.00067862816 0.00014896716 0.0003020723 0.000177933 0.00021931276 0.0002648305 0.0003889698 0.00080276746 0.012426344 0.0025489936 0.0041752183 0.002462096 0.0068814554 0.004063493 0.0021145062 0.002644167 0.010324252 0.0014938096 0.0013034627 0.0018000199 0.004266254 0.0022096795 0.0038234906 0.0052593686 0.03697696 0.03791214 0.03794111 0.036021087 0.03726662 0.041164592 0.037258342 0.033666577 0.038218353 0.03909974 0.037154894 0.03589695 0.03783352 0.038073525 0.033728648 0.035007283 407.0 7.167076 2917.0 0.009256085 0.008913267 0.0078848135 0.006856359 0.009598903 0.006170723 0.008913267 0.0054850876 0.006856359 0.006170723 0.008570449 0.006856359 0.0037709975 0.007199177 0.011998628 0.006513541 0.0078848135 0.012341446 0.008913267 0.010970175 0.009941721 0.0054850876 0.0051422697 0.0051422697 0.006856359 0.0058279056 0.009941721 0.0078848135 0.014741172 0.011998628 0.006856359 0.0058279056 0.0044566337 0.012684264 0.0078848135 0.01679808 0.008913267 0.011998628 0.010284539 0.009941721 0.006170723 0.012341446 0.0054850876 0.0054850876 0.011312993 0.0054850876 0.006170723 0.007199177 0.009598903 0.006513541 0.0078848135 0.018169353 0.010284539 0.0058279056 0.008913267 0.013712718 0.0044566337 0.0051422697 0.010627357 0.008570449 0.008570449 0.007199177 0.010284539 0.017483717 0.0058279056 0.019197807 0.009256085 0.018854989 0.017140899 0.046623245 0.0133699 0.010970175 0.008913267 0.023997257 0.0058279056 0.007199177 0.026396982 0.01508399 0.019540625 0.02194035 0.007199177 0.006856359 0.022968804 0.011998628 0.03565307 0.011998628 0.006170723 0.011312993 0.007199177 0.016112445 0.006170723 0.0041138157 0.009598903 0.0054850876 0.008913267 0.0054850876 6.3705587 0.0 0.0 0.0 4.0 121856.0 188416.0 1.0 0.0 45.0 0.0 0.0 0.0 0.0 0.0 787980800.0 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 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 14.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 20480.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.816519 0.0 0.0 0.0 0.0 0.0 5.1162863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5463392 0.0 7.02742 0.0 0.0 0.0 0.0 0.0 0.0 -6.7205615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -364.0 0.0 0.0 -26426.0 0.0 0.0 0.0 0.0 0.0 2428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8200.0 0.0 72983.0 0.0 0.0 0.0 0.0 0.0 0.0 -9770.0 0.0 16704.0 0.0 0.0 0.0 0.0 -26422.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 41600.0 200.0 17376.0 16704.0 163840.0 0.0 0.0 0.0 0.0 364.0 184320.0 56.0 16608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 16384.0 0.0 0.0 0.0 0.0