Input: 0.5520411 0.0022349183 0.0018800404 0.004082451 0.0019098393 0.004109541 0.0015549614 0.0017906437 0.0016524851 0.0017472998 0.0013951309 0.0014818186 0.0041230856 0.001349078 0.0015089085 0.001695829 0.001663321 0.0015170355 0.0013951309 0.0015305805 0.0016172682 0.0014926546 0.0039253295 0.0016281041 0.0014926546 0.0015332894 0.0015387074 0.0014655646 0.0014438927 0.0015495433 0.0014140938 0.0016064323 0.0022538814 0.0022836803 0.0021238497 0.0017039559 0.0017202098 0.0041393396 0.0016253951 0.0016091412 0.0016091412 0.0014818186 0.0013219881 0.0015332894 0.0016199772 0.0018583685 0.0017391728 0.0015251625 0.002316188 0.0024516378 0.0025599974 0.0024868546 0.0027983887 0.0020994688 0.002091342 0.004654048 0.0019098393 0.002029035 0.0019098393 0.001974855 0.0019017124 0.0019369293 0.0018692045 0.0021211407 0.002316188 0.0025437435 0.002370368 0.004616122 0.0024949815 0.0020696698 0.004450874 0.002313479 0.0020696698 0.0020940509 0.001991109 0.0019017124 0.0020046541 0.002034453 0.001991109 0.0019504742 0.0019260932 0.0016010143 0.0015549614 0.001663321 0.0015847603 0.0015522524 0.0016091412 0.001671448 0.0016118502 0.0014303478 0.001346369 0.0016335221 0.0014059668 0.0015061995 0.0013978399 0.0015657974 0.0015522524 0.001701247 0.0013707499 0.0015576704 0.0017256279 0.0018556595 0.0015305805 0.0016795751 0.0016199772 0.0016524851 0.0039144936 0.0014980725 0.0017175009 0.001354496 0.0014493107 0.0017960616 0.0016253951 0.0015685064 0.0019288022 0.0016606121 0.0018746224 0.0015955963 0.004033689 0.0017391728 0.0015224535 0.0038874035 0.0013219881 0.0015278715 0.0014574376 0.0015685064 0.0017202098 0.0018800404 0.0015143265 0.0014655646 0.001354496 0.0013734589 0.0014168028 0.0015224535 0.0014059668 0.0013815858 0.0015034905 0.0014574376 0.0012569723 0.0017527178 0.0012650993 0.0015359984 0.0012380093 0.0014222207 0.0038521865 0.0014899456 0.0012759352 0.0013870039 0.0037519538 0.0013165701 0.0014032578 0.0014113848 0.0011865385 0.0012786442 0.0011919565 0.0012976072 0.0013030252 0.0013030252 0.0013084431 0.003678811 0.0014818186 0.0014493107 0.0013978399 0.0014059668 0.0015549614 0.0014222207 0.0014005488 0.0012894801 0.001351787 0.0014276388 0.0014411837 0.0014303478 0.0014574376 0.0013192791 0.0014899456 0.0016253951 0.0014466017 0.0012380093 0.0014628556 0.0013707499 0.0013165701 0.0012705172 0.001346369 0.0013680409 0.0013165701 0.0013707499 0.0011404856 0.0014005488 0.0013219881 0.0012434273 0.0014520197 0.0012596813 0.0039361655 0.0012948981 0.0014438927 0.0013409511 0.0038630224 0.001351787 0.00134366 0.001346369 0.0013111521 0.0013951309 0.0012055014 0.0014222207 0.0014493107 0.0013111521 0.0012325913 0.0014005488 0.0016172682 0.0014493107 0.004006599 0.0014736917 0.0013734589 0.0013003162 0.0014005488 0.0038413506 0.0014601466 0.0012976072 0.0014249298 0.001351787 0.001351787 0.0016118502 0.001674157 0.0013842949 0.0014899456 0.001330115 0.0014628556 0.0038901125 0.0013707499 0.0013084431 0.0014222207 0.0013842949 0.0015630884 0.001357205 0.0016443582 0.001359914 0.0013761679 0.0012705172 0.0012894801 0.0012786442 0.0013842949 0.0012407183 0.0014682737 0.0013653319 0.0015630884 0.0013924219 0.0012948981 0.0014926546 0.0015305805 0.001335533 0.0012434273 0.0013003162 0.0014709827 0.0012325913 0.0013897129 0.0024651827 0.51810586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026195813 4.0803448e-06 1.9041609e-05 1.0880919e-05 1.36011495e-05 9.520804e-06 1.0880919e-05 1.2241034e-05 2.3121953e-05 1.3601149e-06 6.8005747e-06 5.4404595e-06 8.1606895e-06 6.8005747e-06 1.0880919e-05 2.3121953e-05 0.002449567 1.6321379e-05 1.0880919e-05 0.00013465137 9.520804e-06 1.0880919e-05 4.0803448e-06 8.704735e-05 2.7202298e-06 9.520804e-06 6.8005747e-06 1.4961264e-05 2.7202298e-06 1.3601149e-06 2.1761838e-05 2.7202298e-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 0.0021721034 8.1606895e-06 6.8005747e-06 2.7202298e-06 5.032425e-05 1.2241034e-05 1.7681494e-05 9.384793e-05 0.00019585654 0.0 1.0880919e-05 1.2241034e-05 4.0803447e-05 2.7202298e-06 3.5362988e-05 0.00012377046 0.0079838745 0.00011696988 6.936586e-05 0.0037335155 0.0038899286 9.384793e-05 7.208609e-05 9.656816e-05 7.752655e-05 7.6166434e-05 8.840747e-05 8.840747e-05 8.9767585e-05 8.024678e-05 7.752655e-05 7.888667e-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 0.0026821466 8.704735e-05 8.024678e-05 0.00090855674 0.00096296135 3.5362988e-05 7.0725975e-05 0.00010608896 6.39254e-05 0.00014281206 4.0803447e-05 2.9922528e-05 0.000115609764 0.000115609764 8.024678e-05 4.8964135e-05 0.00402458 5.304448e-05 0.00016185368 0.00069501874 0.0010146457 0.00025842185 0.0006691765 0.00044475758 0.00042299574 1.7681494e-05 9.5208045e-05 7.0725975e-05 9.928839e-05 2.9922528e-05 7.6166434e-05 0.00022305884 0.002533894 0.0002652224 0.00050732284 0.0002733831 0.00065149507 0.00024210045 0.00036179056 0.0001999369 0.00014553229 2.5842182e-05 2.9922528e-05 3.2642758e-05 7.344621e-05 8.840747e-05 6.256528e-05 7.752655e-05 0.003125544 0.00016729413 0.000319627 0.0013859571 0.0005467662 0.0002189785 0.00021081782 0.0007058996 0.00027066286 0.00013737161 0.000104728846 0.00018497562 0.000119690114 0.00011833 0.00042707607 0.00031282642 0.0018307146 0.00027746343 0.00012513057 0.00053316506 0.00074398285 0.00023529989 0.0006446945 0.0004121148 0.00011152942 9.248781e-05 8.5687236e-05 7.0725975e-05 0.0001006485 0.00011152942 0.00012241035 7.344621e-05 0.0056281555 0.0016035754 0.0015913345 0.0021693832 0.0027243102 0.00047740032 0.0015573315 0.003113303 0.0006854979 0.00355126 0.00021081782 0.0002461808 0.0025257333 0.0024876501 0.0015763731 0.0004923616 0.0053071682 0.0014281207 0.0024577277 0.0026345425 0.0038559258 0.0012472253 0.0017545482 0.002497171 0.0010282468 0.0023529988 0.0014254004 0.00063381356 0.0016171766 0.0025678969 0.0014811652 0.001137056 0.02593195 0.022752002 0.024792174 0.024706487 0.024798974 0.022220198 0.022564307 0.023138275 0.019800553 0.022047462 0.02083696 0.019965127 0.021880168 0.022440536 0.020847842 0.02060846 1626.0 6.6592865 10828.0 0.015330625 0.02308829 0.00905061 0.005356483 0.008034725 0.0072035464 0.0054488364 0.007480606 0.0065570744 0.0043405984 0.0054488364 0.005633543 0.005633543 0.0076653124 0.0061876616 0.005356483 0.018840045 0.020964166 0.020871814 0.022718877 0.020410048 0.012744736 0.0154229775 0.012837089 0.010435907 0.0103435535 0.013391208 0.011174732 0.011082379 0.012098264 0.01200591 0.013483562 0.012744736 0.020410048 0.011267086 0.015700037 0.01930181 0.013483562 0.02161064 0.02401182 0.013298855 0.015884744 0.011913558 0.012744736 0.012190617 0.01403768 0.01403768 0.012190617 0.016715921 0.0069264867 0.00701884 0.008958257 0.0068341335 0.0049870703 0.008311784 0.007480606 0.008404138 0.007111193 0.0065570744 0.008311784 0.004248245 0.0065570744 0.005818249 0.00701884 0.004710011 0.009420022 0.004617658 0.007942372 0.0096970815 0.01902475 0.0051717767 0.0069264867 0.0061876616 0.011267086 0.008681197 0.005633543 0.012837089 0.0068341335 0.009512375 0.010897673 0.007480606 0.0076653124 0.01551533 0.009142962 0.015238271 0.0072035464 0.005356483 0.0076653124 0.00526413 0.012190617 0.0049870703 0.0048023644 0.0050794235 0.0051717767 0.0050794235 0.010066494 6.4280653 0.0 0.0 0.0 6.0 369141.0 413696.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1194411100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 7.0 0.0 0.0 5.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69481.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -287744.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6512685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17.873325 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69481.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -291840.0 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05688768 0.008323251 0.0061873524 0.0056593535 0.005759133 0.004969214 0.0042000823 0.0054265354 0.005051324 0.005631291 0.003748997 0.0044640815 0.0049536233 0.0031731876 0.0043279245 0.004643892 0.0050471663 0.0037656268 0.004935954 0.00415435 0.0043591056 0.003174227 0.0041096574 0.0038383827 0.0050783474 0.0033405258 0.0031669515 0.0029289364 0.0041491534 0.0034392655 0.0037874535 0.0037905716 0.0061811158 0.0038207134 0.0034808402 0.0030204006 0.0048891827 0.004165783 0.0038383827 0.003724052 0.00472912 0.0038945084 0.0033332503 0.003092117 0.00436846 0.0037188553 0.0037250915 0.0035806196 0.0055179996 0.0039558313 0.0030983533 0.002891519 0.0036803987 0.0030723691 0.0026867639 0.0028592988 0.004181374 0.003312463 0.0035203362 0.0033436439 0.0040015634 0.003219959 0.0035016276 0.0034569348 0.00660102 0.0039558313 0.0036169975 0.0032261955 0.0041522714 0.003213723 0.003542163 0.0030619754 0.0049962373 0.0037729025 0.0037074224 0.0035806196 0.004136681 0.0031295342 0.0035515174 0.00346525 0.0051750084 0.003627391 0.0036512965 0.0033332503 0.00392465 0.003377943 0.0033613131 0.003533848 0.0046459707 0.003647139 0.0038072015 0.003505785 0.0041044606 0.0033841792 0.0036887138 0.0037843355 0.005915038 0.0036253124 0.0033374077 0.002947645 0.0040098783 0.0030484635 0.0032636125 0.0030307944 0.004971293 0.003159676 0.00320229 0.0030432667 0.0035795802 0.0028322753 0.0030869201 0.0031866995 0.0045087743 0.0032833605 0.0032189197 0.0031357703 0.0038913903 0.0033290926 0.0032843999 0.0036253124 0.004621026 0.003292715 0.0034766828 0.003159676 0.00403898 0.0031960537 0.0034704467 0.0033405258 0.0086662425 0.004602317 0.004015075 0.0035213756 0.004377814 0.0034371868 0.0030162432 0.0033872973 0.0045399554 0.0038279889 0.0029518025 0.003190857 0.0037219734 0.0027927794 0.0028405902 0.0029757079 0.0052394494 0.0032033294 0.0034901947 0.0030235187 0.003660651 0.0031763057 0.0033041479 0.0032625732 0.004544113 0.0028374721 0.0030401486 0.002696118 0.0035141 0.0032272348 0.0029861017 0.0031503215 0.0050097494 0.0034049666 0.0032719276 0.0027990155 0.0037718632 0.0030131252 0.0030526211 0.0031835814 0.004133563 0.0029912984 0.0031191406 0.003010007 0.003644021 0.002834354 0.0029143852 0.0030359912 0.0046740337 0.0031160226 0.0038518943 0.0028551414 0.0035671077 0.0031524003 0.0029933772 0.0031191406 0.004251011 0.0031451248 0.0033311713 0.0031690302 0.0036523358 0.003182542 0.0033197384 0.0033519587 0.0067288624 0.004060807 0.0037250915 0.0033415651 0.004114854 0.0032584157 0.003307266 0.0032282742 0.0043352 0.0033332503 0.003117062 0.0030723691 0.0036419423 0.002981944 0.0030682115 0.002794858 0.004249972 0.0032740063 0.0030869201 0.0029996133 0.0037188553 0.0030162432 0.0029382906 0.0029424482 0.003983894 0.0031077075 0.0027283386 0.0026347956 0.0035276117 0.0029518025 0.0035785409 0.0028842436 0.004952584 0.0032345103 0.0033914547 0.0029684324 0.0038144772 0.0030682115 0.0031960537 0.0029029523 0.004445373 0.0054629133 0.0034694073 0.0031357703 0.0037895322 0.0030682115 0.003239707 0.0031866995 0.0046127113 0.0033135023 0.00341536 0.00303807 0.0037458788 0.0030858808 0.003312463 0.0032459435 0.0043559875 0.0030307944 0.00318566 0.0028665743 0.004021311 0.003097314 0.004227106 0.0045316406 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0046011917 0.00029411397 0.00027225065 0.00027173007 0.0003008812 0.00024153784 0.00033315565 0.00030868954 0.0003326351 0.00035241622 0.00032951176 0.00035293677 0.00052315847 0.00015408448 0.00018479727 0.00074179185 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09935535 0.06200495 0.0624417 0.055302277 0.06059164 0.059546366 0.05492331 0.05444232 0.06046619 0.053131558 0.05208368 0.052920733 0.056405853 0.050513685 0.05661043 0.053822856 4009.0 5.704914 22871.0 0.01713961 0.010537362 0.0093568275 0.008613528 0.013423112 0.012417472 0.01176162 0.011499278 0.012592366 0.0097066155 0.0084823575 0.008613528 0.0139040705 0.010537362 0.011805343 0.009925233 0.016789822 0.01189279 0.008700975 0.0075204405 0.009837786 0.0084823575 0.007870229 0.008351187 0.010275021 0.008438634 0.009575445 0.0088321455 0.011543002 0.0090070395 0.009619168 0.009225657 0.018057803 0.010930873 0.010362468 0.009094486 0.010843426 0.008875869 0.010668532 0.0083074635 0.0142538585 0.011630449 0.009794062 0.0090070395 0.011455555 0.009400551 0.011717896 0.009619168 0.014865988 0.009619168 0.009968956 0.009050763 0.012067684 0.0093568275 0.009575445 0.009794062 0.013685453 0.009225657 0.010537362 0.0095317215 0.01114949 0.009837786 0.010449915 0.010712256 0.017970355 0.01101832 0.0097066155 0.008176293 0.013117048 0.00826374 0.009400551 0.008351187 0.015478116 0.009313104 0.008919593 0.008700975 0.011368108 0.0079576755 0.009968956 0.007870229 0.0132044945 0.0079576755 0.008700975 0.008788422 0.011455555 0.009487998 0.0081325695 0.007913952 0.01088715 0.0088321455 0.01189279 0.0084823575 0.011236938 0.0090070395 0.009968956 0.008744699 6.5544453 0.0 0.0 0.0 14.0 962124.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.011062401 0.0042531556 0.0041456274 0.0040622833 0.0042143813 0.0038768072 0.0039021901 0.0038778065 0.0043097176 0.0037954615 0.0038810044 0.0038020571 0.0041098516 0.003793063 0.0037584864 0.004431836 0.0040784725 0.003818646 0.00381285 0.0038036562 0.0039529563 0.0039063874 0.003806854 0.0037375004 0.00390259 0.003847227 0.0037690792 0.0037870673 0.0038716106 0.0037832698 0.003788666 0.0037934629 0.0040662806 0.0038102516 0.0037854682 0.0037972603 0.003935368 0.003817247 0.0037792723 0.0037862677 0.0037800719 0.0038274403 0.0037818707 0.0038394323 0.0037866675 0.0038120504 0.0038124502 0.0037510912 0.0038917973 0.003721511 0.003785868 0.0041054543 0.0037568873 0.003769479 0.0037161147 0.0037748753 0.0038392323 0.0038838026 0.0037910645 0.0039647482 0.003847227 0.0037832698 0.0038034562 0.003772677 0.0039125835 0.003906587 0.0040738755 0.0039125835 0.003995128 0.004272742 0.0039149816 0.0038406313 0.003894995 0.0038536226 0.0038434295 0.0037596854 0.003850225 0.003990531 0.003853023 0.003784269 0.0041344347 0.00384263 0.0037844689 0.0039675464 0.0038482263 0.003937367 0.0040049213 0.004002523 0.0037990592 0.003959352 0.0037377002 0.0038324369 0.0038694122 0.0039299717 0.0038893989 0.0038430297 0.0037942624 0.003875408 0.0037788728 0.0038626166 0.0038848019 0.0040778727 0.0041844016 0.0038208447 0.003907187 0.0038712109 0.0040125162 0.0038022571 0.0039195786 0.0038050553 0.003921777 0.0039107846 0.003881804 0.003796461 0.0040181126 0.0038734095 0.0043578856 0.0043528886 0.003863616 0.0038544221 0.0037654818 0.00379786 0.0037534896 0.0037566875 0.0038246422 0.0039201784 0.0037970606 0.0037982597 0.003890598 0.0038450283 0.0037774737 0.0044883983 0.0039277733 0.0042155804 0.0038478265 0.0038628166 0.0039283726 0.00432151 0.003881604 0.0051383637 0.00378287 0.0042857337 0.0038094523 0.0037398988 0.0037952617 0.0037606847 0.0037792723 0.0037742758 0.0037688795 0.0037315043 0.0037700785 0.0036889329 0.0037954615 0.0037718774 0.0037642824 0.0037103186 0.0038092523 0.0037486928 0.0037632831 0.0037982597 0.0038226433 0.00384263 0.0038086527 0.0038156481 0.0038148486 0.0037227103 0.0037562877 0.003749892 0.0038138493 0.003747094 0.0036949287 0.0037283066 0.0038224435 0.0037742758 0.0037428967 0.003745495 0.003850225 0.0037255085 0.0037414976 0.003761884 0.003795062 0.0037612845 0.003884402 0.0038152484 0.0038716106 0.0037712778 0.003787467 0.0037620838 0.0037812712 0.0037908647 0.0038190458 0.0038656148 0.0041560205 0.003954955 0.0038840023 0.0039015906 0.0038640157 0.0037756748 0.003920578 0.0038834028 0.0038648152 0.0038630164 0.0038378332 0.003832037 0.003850225 0.0037676801 0.0038536226 0.0037628834 0.0038184463 0.003796461 0.0038258412 0.0038102516 0.0036969276 0.0037720772 0.003799259 0.0037506914 0.0038556214 0.00379806 0.003790465 0.0038474267 0.0038048553 0.0037922638 0.0037251087 0.0037848686 0.0038778065 0.0037928633 0.0037982597 0.0037810712 0.0038836026 0.0038310378 0.0037642824 0.0038066541 0.0045521557 0.0038812042 0.0037812712 0.003987733 0.003936767 0.0037936629 0.0037446956 0.0038206447 0.003900791 0.0038380332 0.003833836 0.0038122504 0.003859419 0.003736501 0.003969545 0.0038842023 0.0039615505 0.0038360346 0.0037580866 0.0037906647 0.0040125162 0.0038324369 0.0039797383 0.0061636777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017472172 5.997313e-06 3.4984328e-06 5.997313e-07 4.997761e-06 1.5992836e-06 3.1985671e-06 2.698791e-06 4.997761e-07 5.997313e-07 8.9959696e-07 2.8987013e-06 2.9986566e-07 2.9986566e-07 5.997313e-07 1.2994178e-06 0.00016632548 6.8969102e-06 5.997313e-06 4.997761e-07 6.297179e-06 2.7987462e-06 3.1985671e-06 3.0986118e-06 9.995522e-07 2.9986566e-07 1.3993731e-06 2.4988806e-06 5.997313e-07 1.1994626e-06 7.996418e-07 1.7991939e-06 0.0001551305 3.1985671e-06 4.7978506e-06 8.9959696e-07 1.2194537e-05 3.4984328e-06 2.7987462e-06 3.2985222e-06 1.6992387e-06 7.996418e-07 2.29897e-06 6.9968655e-07 5.397582e-06 1.0995075e-06 6.9968655e-07 6.1972237e-06 0.00062392047 1.27942685e-05 3.72833e-05 1.3294044e-05 3.6083835e-05 1.0695208e-05 0.000103453654 5.4275686e-05 8.496194e-06 2.0590775e-05 4.4979847e-06 3.698343e-06 6.9968655e-06 1.3993731e-05 6.0972684e-06 6.7369816e-05 0.00059363403 1.819185e-05 3.498433e-05 1.7392209e-05 3.908249e-05 2.3689387e-05 0.00010565267 5.2776355e-05 1.2694313e-05 6.1972237e-06 8.79606e-06 4.1981193e-06 8.896014e-06 1.0995074e-05 1.6592567e-05 6.976874e-05 0.0008737086 7.56661e-05 7.94644e-05 0.00011684765 0.00014193641 9.3957904e-05 0.0003272534 0.00020880645 2.718782e-05 1.0495298e-05 9.395791e-06 1.2494403e-05 1.359391e-05 7.4966415e-06 1.6892433e-05 3.1885716e-05 0.0010502295 3.6683567e-05 0.00014713408 7.8364894e-05 0.00014783377 8.4262254e-05 0.00051107106 0.0002984663 4.448007e-05 3.3385044e-05 2.2889746e-05 3.468446e-05 3.8782626e-05 2.1690283e-05 5.2776355e-05 5.8473805e-05 0.00053575996 3.72833e-05 5.4475597e-05 2.338952e-05 5.8373847e-05 3.3285087e-05 0.00013553927 0.00010765177 5.1976713e-05 1.37938205e-05 1.3893776e-05 2.238997e-05 2.2489925e-05 1.7891984e-05 3.8582715e-05 6.147246e-05 0.0003401476 5.747425e-05 4.4679982e-05 4.6879e-05 6.0472907e-05 4.5879446e-05 0.00020130981 6.836937e-05 0.0001359391 1.1394895e-05 6.796955e-06 1.5193194e-05 5.1976713e-05 5.0577342e-05 7.7865116e-05 0.00021800233 0.0037132364 0.0005213664 0.000375032 0.00048288365 0.0010261403 0.0009439771 0.0004042189 0.0008406234 0.00243321 0.00022489924 0.00015573023 0.000377231 0.00086881075 0.00034424578 0.00093358173 0.0017079349 0.0033889818 0.00070998195 0.0004127151 0.0006489093 0.0012198535 0.0012971188 0.00056804554 0.0010303385 0.002167729 0.00019311349 0.0003082619 0.00034294635 0.0010584259 0.00036303737 0.0010015513 0.0020750703 0.059590004 0.05997863 0.059971932 0.059783716 0.059905663 0.05984689 0.060066592 0.059747335 0.05986658 0.059719145 0.059871778 0.05997053 0.059901666 0.059839193 0.059893668 0.059876774 23061.0 5.8706474 135383.0 0.013672322 0.010045574 0.010370579 0.009757503 0.009631933 0.009942164 0.010001256 0.00997171 0.009595001 0.010141598 0.009875686 0.009277384 0.009809208 0.009698411 0.010112053 0.009683638 0.010215463 0.009498977 0.009993869 0.009920005 0.010363192 0.010016029 0.009661479 0.010060348 0.010148984 0.009631933 0.009816594 0.009417726 0.009949551 0.009794435 0.009801822 0.009816594 0.009654093 0.010400124 0.009366021 0.011168315 0.009956937 0.010038188 0.00974273 0.010038188 0.010629104 0.010570012 0.009823981 0.009787048 0.0104148965 0.010289327 0.009979096 0.010267168 0.010119439 0.009631933 0.010274555 0.011242179 0.010643877 0.00953591 0.011175701 0.011323431 0.009897846 0.009920005 0.00961716 0.00974273 0.009609774 0.010208077 0.010030801 0.010171144 0.009934777 0.013125725 0.010267168 0.01155241 0.011463773 0.015932577 0.010451829 0.010577399 0.010178531 0.012645605 0.010193303 0.009794435 0.012468331 0.011323431 0.012387079 0.013037087 0.011175701 0.009306929 0.014167215 0.011877415 0.01457347 0.010629104 0.010592172 0.009727957 0.009351248 0.010089893 0.010185917 0.009439886 0.009661479 0.009417726 0.009823981 0.009683638 6.576353 0.0 1.0 0.0 85.0 5003344.0 352256.0 1.0 0.0 215.0 0.0 1.0 0.0 0.0 0.0 1417514900.0 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 9.0 0.0 5.0 0.0 5.0 0.0 165376.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -165376.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3946133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4665353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.724808 0.0 4.708589 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20435.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -165274.0 0.0 17624.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 192416.0 220.0 187260.0 17624.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173040.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183312.0 0.0 0.0 900.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.059720553 0.002704327 0.0033804087 0.00075120194 0.0010516827 0.0024038462 0.0012019231 0.0037560095 0.0040564905 0.0049579325 0.0005258414 0.00045072116 0.0009014423 0.00075120194 0.001953125 0.0013521635 0.0057091345 0.00398137 0.021559495 0.005108173 0.0041316105 0.0060096155 0.0028545673 0.00045072116 0.0021784855 0.006234976 0.0013521635 0.0096905045 0.00045072116 0.0072115385 0.0020282452 0.0012019231 0.0024038462 0.001953125 0.0011268029 0.0009765625 0.0021784855 0.0032301683 0.019080529 0.0033052885 0.0012019231 0.0034555288 0.003530649 0.001577524 0.004281851 0.0022536058 0.0040564905 0.0049579325 0.0018028846 0.003155048 0.0024038462 0.0012770433 0.0009014423 0.0021033655 0.00022536058 0.00037560097 0.0009014423 0.0034555288 0.00075120194 0.00037560097 0.012169471 0.0022536058 0.00030048078 0.0010516827 0.002779447 0.0014272836 0.0011268029 0.0005258414 0.00060096156 0.0009765625 0.0009765625 0.0012019231 0.00075120194 0.0009014423 0.0005258414 0.0026292067 0.0013521635 0.00067608175 0.0067608175 0.0015024039 0.003079928 0.0018780048 0.010366587 0.0009765625 0.0052584135 0.00067608175 0.00067608175 0.001577524 0.0021784855 0.003530649 0.0020282452 0.00045072116 0.00390625 0.00075120194 0.00075120194 0.00030048078 0.003530649 0.0013521635 0.00060096156 0.0012019231 0.0026292067 0.0016526442 0.007512019 0.0009014423 0.005483774 0.007061298 0.00045072116 0.00067608175 0.005108173 0.001953125 0.005408654 0.024414062 0.0018028846 0.0016526442 0.0010516827 0.0021784855 0.002328726 0.00045072116 0.002328726 0.0005258414 0.0033804087 0.0012770433 0.0056340145 0.0018780048 0.02771935 0.0034555288 0.0012019231 0.0029296875 0.004281851 0.003155048 0.0045072115 0.028094951 0.0045823315 0.0096905045 0.0026292067 0.0033804087 0.0045823315 0.0053335335 0.0029296875 0.0041316105 0.0033052885 0.0021784855 0.003079928 0.003530649 0.030123197 0.0030048077 0.0012019231 0.0018780048 0.00390625 0.0024789663 0.0012770433 0.0024789663 0.0071364185 0.0126953125 0.0017277644 0.0018780048 0.003530649 0.0036808895 0.0024789663 0.0037560095 0.0026292067 0.0021784855 0.0014272836 0.0025540865 0.0018780048 0.0011268029 0.00075120194 0.0009014423 0.00390625 0.0020282452 0.0025540865 0.0033052885 0.0063852165 0.0105919475 0.0021033655 0.001577524 0.005033053 0.0029296875 0.0021033655 0.003530649 0.0018028846 0.0048828125 0.0028545673 0.0017277644 0.0051832935 0.0020282452 0.001953125 0.004281851 0.004657452 0.005859375 0.0049579325 0.005483774 0.0048076925 0.0021033655 0.0044320915 0.003079928 0.0015024039 0.002328726 0.0029296875 0.002704327 0.0034555288 0.0025540865 0.0056340145 0.0010516827 0.0045823315 0.0041316105 0.0009765625 0.0028545673 0.010216346 0.00398137 0.0013521635 0.003079928 0.0026292067 0.00390625 0.002704327 0.00075120194 0.004356971 0.027118389 0.0015024039 0.0011268029 0.001577524 0.0040564905 0.0025540865 0.0026292067 0.0025540865 0.002328726 0.003155048 0.0021784855 0.004281851 0.0072115385 0.0017277644 0.0026292067 0.0016526442 0.0029296875 0.0017277644 0.0069110575 0.0030048077 0.03132512 0.0040564905 0.0012770433 0.0008263221 0.005934495 0.0015024039 0.0013521635 0.0021784855 0.004657452 0.0014272836 0.009765625 0.0098407455 0.007436899 0.0021784855 0.0017277644 0.0029296875 0.0025540865 0.006685697 0.0036057692 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019734701 0.006917318 0.0052897134 0.0020345051 0.0026448567 0.0033772786 0.0077311196 0.0043538413 0.0068359375 0.004272461 0.0019124349 0.0032145183 0.0033772786 0.00394694 0.0039876304 0.0037027996 0.04329427 0.076293945 0.056355793 0.031778973 0.021443686 0.03560384 0.06262207 0.056274414 0.08581543 0.08150228 0.045532227 0.05891927 0.047770184 0.071614586 0.07788086 0.063964844 18.0 9.777778 176.0 0.039772727 0.017045455 0.0056818184 0.0 0.0 0.0 0.011363637 0.0 0.0 0.0 0.0 0.0 0.011363637 0.0 0.028409092 0.0056818184 0.0 0.0 0.011363637 0.011363637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0056818184 0.028409092 0.0056818184 0.0056818184 0.0056818184 0.022727273 0.0 0.017045455 0.0 0.0 0.0056818184 0.0056818184 0.017045455 0.0056818184 0.0056818184 0.0056818184 0.0 0.0 0.011363637 0.017045455 0.022727273 0.0056818184 0.0056818184 0.0 0.0 0.0 0.017045455 0.0056818184 0.011363637 0.0 0.0 0.0 0.017045455 0.045454547 0.011363637 0.011363637 0.028409092 0.056818184 0.0 0.011363637 0.017045455 0.045454547 0.0 0.0 0.056818184 0.028409092 0.051136363 0.06818182 0.0056818184 0.011363637 0.039772727 0.03409091 0.045454547 0.0056818184 0.0 0.0 0.011363637 0.0 0.0 0.011363637 0.0056818184 0.0056818184 0.0 0.0 5.274642 0.0 0.0 0.0 1.0 13312.0 24576.0 0.0 0.0 5.0 0.0 0.0 0.0 0.0 0.0 1017738100.0 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 5.0 12.0 4.0 0.0 4.0 0.0 12800.0 512.0 4096.0 2.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.320696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 16340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.10817649 0.005156546 0.0041060015 0.0045055044 0.0045609907 0.0034734553 0.0034068713 0.0043242485 0.0061442056 0.004131895 0.0032330137 0.0032774028 0.0040764087 0.0034845525 0.0031109434 0.004705256 0.004080108 0.0033698804 0.0028963955 0.0030813506 0.0035104463 0.003651012 0.0031146426 0.003210819 0.0034068713 0.00283721 0.0029962712 0.00320712 0.0031146426 0.0035104463 0.0031146426 0.0033587832 0.0038174717 0.0029962712 0.002944484 0.0031738281 0.0036584102 0.0031183416 0.0030665542 0.003133138 0.002944484 0.0031072444 0.0028224136 0.0032256155 0.0030332622 0.002948183 0.0031553325 0.0032219165 0.0033439868 0.0029592803 0.0028963955 0.0049937856 0.003096147 0.002985174 0.0032626064 0.003170129 0.0032256155 0.0030480586 0.00283721 0.0035992246 0.0032921992 0.0031220408 0.0030850498 0.0032958984 0.0058778706 0.005308209 0.002907493 0.002988873 0.0049198037 0.00481253 0.003943241 0.00419478 0.003318093 0.0041133994 0.0029592803 0.0030073687 0.003203421 0.0044500176 0.0041023022 0.0031183416 0.004875414 0.0031220408 0.003129439 0.0038063743 0.0030628552 0.0033661814 0.0037249941 0.0036732068 0.0040024268 0.003469756 0.002914891 0.0031479343 0.0030443596 0.0034882517 0.0034327651 0.003614021 0.0031442354 0.0036214192 0.002833511 0.00349565 0.0033254912 0.004501805 0.004509203 0.003129439 0.0036991003 0.0036991003 0.003950639 0.0031183416 0.003647313 0.003244111 0.003909949 0.003754587 0.003244111 0.0033994731 0.0041799834 0.0037434895 0.0054709692 0.005308209 0.0032700046 0.0039876304 0.00349565 0.003170129 0.0030776516 0.0027780244 0.0032330137 0.0037360913 0.0033772786 0.0032921992 0.00431685 0.0029333867 0.0029037937 0.0051306523 0.003351385 0.0041023022 0.002944484 0.0030406604 0.0038470645 0.0050011836 0.003680605 0.0072243433 0.002870502 0.0045129023 0.0030702534 0.003425367 0.0034068713 0.00324781 0.0028483074 0.003022165 0.0028926965 0.0028779001 0.0028409092 0.0031479343 0.0028520063 0.0038470645 0.0026300603 0.0028594045 0.002940785 0.0030443596 0.0030406604 0.003092448 0.0031146426 0.0029740767 0.0026855469 0.0030480586 0.0030073687 0.0029629795 0.002907493 0.0031183416 0.0028815991 0.002985174 0.0028668027 0.002944484 0.0029629795 0.0029296875 0.0029814749 0.0031035452 0.0028963955 0.0027891216 0.0029740767 0.0029740767 0.0029000947 0.0031109434 0.0031849255 0.0031109434 0.0035955256 0.0031516335 0.0029370857 0.0030813506 0.0030998462 0.0029296875 0.003351385 0.0036954014 0.004350142 0.0033846768 0.0032552083 0.004050515 0.0034105706 0.003025864 0.003388376 0.0039136484 0.0033624822 0.0033365886 0.003133138 0.0031516335 0.0046349727 0.0028224136 0.0029555813 0.0034105706 0.003355084 0.00349565 0.0031849255 0.0038174717 0.0028668027 0.0031257397 0.0031479343 0.0032404119 0.0033735796 0.0031479343 0.0033032966 0.0033032966 0.0033957742 0.0030628552 0.003318093 0.003092448 0.0041799834 0.003210819 0.0033328894 0.0029370857 0.0032995977 0.00349565 0.0038618608 0.004424124 0.004794034 0.0034882517 0.0029999705 0.004024621 0.0035437383 0.0028963955 0.003425367 0.0033328894 0.0037323923 0.00316643 0.0030628552 0.0032626064 0.0034179688 0.0030850498 0.003462358 0.0037508877 0.004446319 0.0034438625 0.003506747 0.0035585347 0.0046201763 0.0034734553 0.004024621 0.012354995 0.038022812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007257382 7.240673e-05 1.48526615e-05 1.8565827e-06 5.3840897e-05 3.7131654e-06 5.5697483e-06 1.1139497e-05 4.827115e-05 1.6709244e-05 1.8565827e-06 3.3418488e-05 2.9705323e-05 9.282913e-06 7.4263307e-06 3.7131653e-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 0.0034142556 2.9705323e-05 3.7131653e-05 3.7131654e-06 3.7131653e-05 1.2996079e-05 6.498039e-05 3.1561907e-05 2.784874e-05 1.2996079e-05 1.8565827e-06 4.827115e-05 1.6709244e-05 4.2701402e-05 9.282913e-06 1.1139497e-05 0.0031914657 5.1984316e-05 2.5992158e-05 1.1139497e-05 0.00012439104 2.9705323e-05 2.0422409e-05 2.9705323e-05 3.7131653e-05 2.5992158e-05 3.5275072e-05 4.2701402e-05 9.65423e-05 2.784874e-05 1.2996079e-05 3.8988237e-05 0.009325615 0.00015780953 9.097255e-05 0.000113251546 0.0003434678 0.00013738712 8.1689635e-05 0.00011882129 0.00013367395 5.7554065e-05 8.5402804e-05 9.65423e-05 0.00034718096 7.611989e-05 8.1689635e-05 0.00015966612 0.005244846 3.7131653e-05 0.00025992157 1.2996079e-05 0.0026976147 0.00094685715 0.0014759833 0.0006869356 3.7131654e-06 5.5697483e-06 5.5697483e-06 1.1139497e-05 0.0 5.5697483e-06 7.4263307e-06 5.5697483e-06 0.010227914 0.00076491205 0.00046600227 0.00022278992 0.0003137625 0.000235786 0.0009821323 0.00051613 0.00030262297 7.7976474e-05 8.354622e-05 8.354622e-05 0.0004511496 0.00016523586 0.00012624763 0.00018937144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004533775 0.00016523586 0.00011882129 0.00015409637 0.0005421222 0.0005049905 0.0014648438 0.0008595978 0.00027663083 5.9410646e-05 2.2278993e-05 0.00023207284 9.097255e-05 0.00012624763 0.000965423 0.001290325 0.0038375563 0.00010396863 0.0001281042 5.012773e-05 0.0013980068 0.00056625775 0.001236484 0.0010563956 0.00041030478 4.4557986e-05 9.468572e-05 0.00014481346 0.00033604147 6.3123814e-05 0.0007092146 0.0012272012 0.0036630377 0.00020793726 0.00033789806 0.00037874287 0.00028777032 0.00022650309 0.001214205 0.0008818768 0.00030447956 0.00024878207 6.498039e-05 0.00026177816 0.00048828125 0.00011510813 0.0010378297 0.0016876337 0.0066799847 0.00085402804 0.0002710611 0.000965423 7.4263306e-05 0.0002042241 0.0009617098 0.00065166055 0.0009542835 0.0009765625 0.0001819451 0.00036203364 0.001268046 0.00018008852 0.001481553 0.0029445402 0.015704833 0.00258065 0.0020088225 0.002545375 0.0058092475 0.0031431946 0.0013794409 0.0035163676 0.0083342 0.000774195 0.0006535171 0.0010062678 0.0037113088 0.0018565827 0.0028350018 0.004977498 0.012351844 0.0028609938 0.001971691 0.0028090095 0.0052615553 0.0042255824 0.0025825065 0.003603627 0.007006743 0.0014611306 0.001089814 0.0011826432 0.0031283419 0.0020051093 0.0027477425 0.006548167 0.045551255 0.044743642 0.04479006 0.045139097 0.045059264 0.045361884 0.046267897 0.046991963 0.04472508 0.045001708 0.04533218 0.04641828 0.04581675 0.047714174 0.04743383 0.04749324 1192.0 8.84396 10542.0 0.017453993 0.0049326504 0.005217226 0.007493834 0.0051223678 0.0060709543 0.0049326504 0.004837792 0.0054069436 0.005881237 0.0051223678 0.0049326504 0.0065452475 0.0049326504 0.0065452475 0.0066401064 0.0073989755 0.005027509 0.0061658127 0.0037943465 0.0032251945 0.005976096 0.0065452475 0.008157845 0.005881237 0.0051223678 0.0060709543 0.005217226 0.0057863784 0.005596661 0.0054069436 0.004837792 0.0055018025 0.031398218 0.005312085 0.009106431 0.04894707 0.008157845 0.0069246823 0.03044963 0.007304117 0.026370708 0.0057863784 0.0051223678 0.0061658127 0.008726996 0.02760387 0.0057863784 0.030734206 0.0056915195 0.0084424205 0.013280213 0.00635553 0.005027509 0.008821855 0.008726996 0.025611838 0.0045532156 0.005596661 0.003984064 0.0054069436 0.008157845 0.005881237 0.007209258 0.007209258 0.021627774 0.0068298234 0.015082527 0.015082527 0.03984064 0.0073989755 0.009485866 0.008916714 0.022766078 0.0076835514 0.005976096 0.0169797 0.00996016 0.02551698 0.023524947 0.008916714 0.0049326504 0.025801556 0.016410548 0.030354772 0.011572757 0.008916714 0.011288181 0.007968128 0.007968128 0.007209258 0.004458357 0.006734965 0.005312085 0.0062606717 0.007588693 6.212521 0.0 0.0 0.0 7.0 270336.0 286720.0 0.0 0.0 115.0 0.0 1.0 0.0 0.0 0.0 1222074400.0 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 32768.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.20096 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2413718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7277856 0.0 7.9590926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15130.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29366.0 0.0 203040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 49436.0 203040.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.20156454 0.012011689 0.0062296973 0.00785393 0.014284921 0.0032380542 0.003890524 0.0023877614 0.012219924 0.0024675848 0.0014715274 0.0022107617 0.0055702864 0.0038835828 0.0014298804 0.005906933 0.0052093454 0.0014472333 0.00090929284 0.0014819391 0.0030784074 0.004390288 0.0011799984 0.0010932337 0.0028042314 0.0016971153 0.0007982342 0.0010862926 0.0020094677 0.0012563511 0.0011140573 0.00092664576 0.003890524 0.0011036455 0.0013847627 0.00082599884 0.004053641 0.0015374684 0.00081558706 0.00068023434 0.001415998 0.00062817556 0.0008919399 0.0020372325 0.0013708804 0.0009856457 0.001499292 0.0009544104 0.0063650496 0.0037447594 0.0034046422 0.006882167 0.003699642 0.002332232 0.0023426437 0.0024294083 0.0032137602 0.0029048782 0.0023287614 0.004338229 0.0027799373 0.0025161728 0.0020441737 0.0040952885 0.00964128 0.0044423467 0.012143571 0.009776633 0.0050184634 0.013351334 0.0034358776 0.0026792902 0.0033803482 0.0025092317 0.0013951745 0.0005622345 0.0022419968 0.009467752 0.0036753477 0.001516645 0.01088722 0.0052509927 0.0041195825 0.0037690536 0.0025717022 0.0061359913 0.004855346 0.0038697005 0.0027417608 0.002307938 0.001041175 0.0018185857 0.001599939 0.0047165225 0.003224172 0.0044666408 0.0017283505 0.004039759 0.0013257628 0.0029083488 0.006233168 0.0050705224 0.0019018797 0.0011487631 0.00785046 0.00386623 0.004629758 0.000957881 0.0042028762 0.0016936447 0.0030159368 0.003533054 0.0023218202 0.00069064606 0.004657523 0.004011994 0.011019102 0.005528639 0.0012979981 0.0015756448 0.0018567621 0.0014021157 0.00067676377 0.001141822 0.001582586 0.002040703 0.0012563511 0.000999528 0.001957409 0.0012702335 0.0011071161 0.010324986 0.003147819 0.00606658 0.0015444095 0.00096829276 0.001999056 0.008676458 0.001891468 0.037617654 0.0012008218 0.014833273 0.0008607047 0.0006420579 0.0015964684 0.00066982256 0.0005171169 0.0013431157 0.0011036455 0.001100175 0.00069064606 0.0007288225 0.0013708804 0.00083294 0.00060735206 0.0007045284 0.0011071161 0.00070105784 0.0006108227 0.000874587 0.0017318211 0.004546464 0.000749646 0.0018532915 0.0012528806 0.000707999 0.001166116 0.00052752864 0.0016589388 0.0007669989 0.00054488156 0.0006004109 0.0020615265 0.0013882334 0.0006004109 0.00053446984 0.0020476442 0.0013396451 0.0027278785 0.0009891163 0.0014368215 0.0014819391 0.0014021157 0.0011626454 0.0033699365 0.001291057 0.0010203515 0.0007669989 0.0012841158 0.0006871755 0.0007461754 0.0011279396 0.006146403 0.00344976 0.0024675848 0.0038280534 0.0050531696 0.0016138213 0.004955993 0.0058930507 0.0032380542 0.001499292 0.001141822 0.0010481161 0.026633257 0.0008086459 0.0017734681 0.0012008218 0.0032415248 0.0015652331 0.0015548214 0.0011348807 0.0022801734 0.00053446984 0.00097176334 0.00067676377 0.0020858205 0.000749646 0.00082252827 0.001225116 0.001474998 0.0004615876 0.0006004109 0.00061429327 0.0018428798 0.0008954105 0.00082252827 0.0004824111 0.0016519977 0.0021101146 0.0006732932 0.00060735206 0.012108865 0.0045776996 0.00082252827 0.0021934086 0.00487964 0.00044423467 0.0005795874 0.0006524697 0.005521698 0.001457645 0.0006316462 0.0012459394 0.0034462893 0.0006732932 0.0016624094 0.0014819391 0.0022177028 0.0011869395 0.0008294694 0.0010481161 0.007781048 0.004390288 0.0047859345 0.041928116 0.046428572 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026785715 0.00089285715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008902414 5.231585e-05 7.498605e-05 8.544922e-05 0.0002092634 0.0001273019 0.000667899 0.00032958985 1.5694755e-05 2.4414063e-05 5.405971e-05 7.324219e-05 3.8364957e-05 1.9182478e-05 2.2670201e-05 1.7438617e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027273996 2.9645647e-05 2.092634e-05 3.3133372e-05 1.9182478e-05 2.6157924e-05 2.9645647e-05 0.00017438616 0.00024239677 0.000106375555 3.3133372e-05 2.2670201e-05 3.138951e-05 2.4414063e-05 3.138951e-05 1.9182478e-05 0.028334264 0.0012363979 0.0010724749 0.0005859375 0.005296108 0.0011805943 0.0017229352 0.0012503488 0.000441197 0.0009399414 0.00044642857 0.00025285993 0.00017089843 0.00024414062 0.00020751954 0.0030465263 0.024520438 0.0010602679 0.0011003767 0.00036272322 0.0035382952 0.00036446707 0.00041503907 0.00033482144 0.0010253906 0.0010498047 0.00080217636 0.00031040737 0.000491769 0.0004132952 0.0002947126 0.0032017299 0.013368443 0.0007045201 0.00054582866 0.0014439174 0.002130999 0.001084682 0.004070173 0.0023071289 0.0005615234 0.00023018973 0.0004272461 0.00023890904 0.00037493024 0.00020054409 0.0002493722 0.00063302176 0.008651298 0.00039760044 0.0013724191 0.0031947545 0.008225795 0.00473284 0.01136649 0.006780134 0.0003871373 0.00024239677 0.00020577566 0.00019356865 0.00015520368 0.00014299665 0.00016741072 0.00021275111 0.010248675 0.0019008091 0.001902553 0.02269287 0.0036254884 0.0026750837 0.004800851 0.0032313755 0.0018083844 0.0017194476 0.0016217913 0.0017281668 0.0016305106 0.0015450614 0.0015258789 0.0016287668 0.0092721125 0.0007359096 0.0006452288 0.0013549805 0.004469517 0.0016217913 0.0020228794 0.0011178153 0.001813616 0.0005074637 0.0011178153 0.0004499163 0.0013898577 0.0002720424 0.00047607423 0.0013044085 0.08329904 0.011948939 0.006197684 0.011711774 0.03378906 0.03180629 0.013126046 0.012447684 0.05782471 0.0033499582 0.007828195 0.009388951 0.046268135 0.007686942 0.019498117 0.043828472 0.045007326 0.009038434 0.0077654156 0.010419573 0.018263463 0.015750557 0.011666434 0.010677665 0.027350726 0.0033499582 0.0052089146 0.006867327 0.017522322 0.0060389927 0.010041155 0.023603167 0.005458287 0.003262765 0.0032575335 0.0035173688 0.003199986 0.003187779 0.004234096 0.003327288 0.0029052733 0.0029227121 0.0028791155 0.003288923 0.0028581892 0.0033691407 0.0028826033 0.0030203683 1398.0 19.414879 27142.0 0.016211038 0.0012158279 0.0011789846 0.0010316116 0.0108687645 0.001105298 0.0012526711 0.0012526711 0.0031685212 0.0011789846 0.0009210817 0.0009947682 0.003021148 0.0023579693 0.008805541 0.0046054088 0.019563776 0.013742539 0.012674085 0.009873996 0.009505563 0.008989758 0.008363422 0.0081792055 0.009100287 0.008326579 0.008879228 0.00755287 0.009726623 0.008142362 0.006889691 0.021148037 0.04609093 0.02468499 0.0037580135 0.0070739076 0.0320168 0.0069265347 0.006852848 0.015474173 0.004642252 0.016358411 0.00062633556 0.00088423846 0.004642252 0.0027632453 0.016174195 0.003979073 0.019305874 0.0048264684 0.0050106845 0.011789846 0.0072212806 0.0059317662 0.010905608 0.012084592 0.015989978 0.0012895144 0.0048633115 0.0007368654 0.0028000884 0.0005158058 0.0007368654 0.019637462 0.0028369317 0.036216933 0.007994989 0.025237639 0.019637462 0.041890796 0.0059317662 0.0070739076 0.011716159 0.034080025 0.001510574 0.0043475055 0.025532385 0.011274041 0.02490605 0.029364085 0.011274041 0.0005894923 0.036143247 0.029364085 0.05128583 0.00968978 0.0038685433 0.004789625 0.0049738414 0.0065581016 0.0011789846 0.0007368654 0.0021369096 0.0005158058 0.00033158943 0.0005894923 5.905196 0.0 39.0 0.0 4.0 288136.0 274432.0 1.0 0.0 268.0 1.0 1.0 1.0 1.0 0.0 1503507500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 172032.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -4096.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172032.0 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 -5.338641 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9179564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0350394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5031614 0.0 4.1235204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -19288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59836.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -169802.0 0.0 1512.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -2.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -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 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 224792.0 1512.0 249856.0 0.0 0.0 16200.0 271936.0 13276.0 253952.0 28.0 177328.0 0.0 0.0 0.0 0.0 24.0 202544.0 64.0 202472.0 0.0 0.0 1108.0 176128.0 0.0 0.0 0.0 0.0


Input: 0.2823964 0.005689538 0.0039911685 0.002632473 0.004033628 0.0025263247 0.0024838655 0.0025475544 0.004012398 0.002568784 0.0019106658 0.0036727241 0.0021654211 0.0024838655 0.0022078804 0.0023140286 0.0022927988 0.0037151834 0.0022078804 0.00222911 0.0032056726 0.004309613 0.0035028872 0.0021017324 0.0018894362 0.0019955842 0.0020805027 0.0033330503 0.0035453464 0.0021441916 0.0022503396 0.002335258 0.0022503396 0.0019318954 0.0021654211 0.0018894362 0.0047129756 0.0026749321 0.0062415083 0.008046025 0.0025263247 0.0023777173 0.0018894362 0.002462636 0.0035028872 0.0023140286 0.0018894362 0.0019318954 0.001953125 0.0021441916 0.0037576426 0.0022078804 0.002844769 0.0017832881 0.0035453464 0.0020805027 0.002632473 0.003014606 0.0021441916 0.0024201765 0.0022078804 0.002335258 0.0019106658 0.002335258 0.011485225 0.001953125 0.0018894362 0.0021017324 0.0020805027 0.0022715693 0.0021441916 0.003460428 0.00222911 0.0019743547 0.0018257473 0.0036939539 0.001953125 0.0020805027 0.0017408289 0.0020805027 0.0021441916 0.0027173914 0.0022715693 0.0026749321 0.0022078804 0.0035665762 0.0019106658 0.0021017324 0.0021017324 0.0021654211 0.0023564878 0.0020805027 0.0025475544 0.003396739 0.0020805027 0.0019106658 0.0035665762 0.0020805027 0.0023140286 0.0017195992 0.006857167 0.0026749321 0.0021017324 0.004670516 0.0020592732 0.0018469769 0.0022927988 0.0021654211 0.0021017324 0.0021441916 0.0026112432 0.002016814 0.0021654211 0.002122962 0.0026749321 0.0025050952 0.004734205 0.0016983695 0.0019318954 0.0017408289 0.0022503396 0.0021866509 0.0024201765 0.00222911 0.0021017324 0.0021017324 0.0018894362 0.0017408289 0.004967731 0.004182235 0.0024838655 0.004309613 0.0017832881 0.0048828125 0.001953125 0.0051163384 0.0019743547 0.0038213315 0.004012398 0.007218071 0.0021654211 0.0033330503 0.0017620585 0.0020592732 0.0038637908 0.0021441916 0.0024838655 0.0022715693 0.0023564878 0.002016814 0.0019743547 0.0024414062 0.0019106658 0.0021441916 0.0026537024 0.0021654211 0.0033118206 0.00278108 0.002122962 0.0022503396 0.0025900137 0.0019743547 0.0025475544 0.0019318954 0.0018045177 0.0030995244 0.002016814 0.0021654211 0.0021866509 0.0021017324 0.0041610054 0.0022927988 0.0036090354 0.0025050952 0.0019318954 0.0020805027 0.0019955842 0.0022078804 0.0021441916 0.0023140286 0.0017408289 0.0036727241 0.0020805027 0.0037576426 0.0036514946 0.0036514946 0.0018257473 0.0021866509 0.0020380435 0.0038213315 0.002398947 0.0020805027 0.00390625 0.002568784 0.002122962 0.00556216 0.008576767 0.0021866509 0.004500679 0.0022927988 0.0026112432 0.0024838655 0.0034179688 0.0033330503 0.0038213315 0.0024201765 0.0018257473 0.0021654211 0.0018682065 0.002632473 0.0024838655 0.0018469769 0.0020592732 0.0045855977 0.002016814 0.002122962 0.0021017324 0.0019743547 0.0020380435 0.0021866509 0.002335258 0.002122962 0.0017195992 0.0033542798 0.0022715693 0.0021654211 0.0035028872 0.0026537024 0.0034391985 0.0019318954 0.0018469769 0.0022503396 0.0087890625 0.0078337295 0.0036090354 0.0028235393 0.0032693613 0.003396739 0.0019743547 0.002122962 0.0024838655 0.002462636 0.0031844429 0.0020592732 0.0022927988 0.0025263247 0.002122962 0.00278108 0.002462636 0.0024201765 0.002016814 0.0024838655 0.0020805027 0.0024201765 0.006199049 0.017578125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02609592 0.00078125 0.0020833334 0.0006293403 0.0016493056 0.0005533854 0.0009331597 0.00034722223 0.0031467015 0.0006076389 0.0006076389 0.0007921007 0.0020833334 0.00045572917 0.0018229167 0.0018554687 0.012098525 0.00050998264 0.0009331597 0.00043402778 0.00086805556 0.00035807292 0.0005533854 0.00028211807 0.0014756945 0.0004123264 0.00036892362 0.000531684 0.0010850695 0.00031467015 0.0010199653 0.0009765625 0.011631944 0.0006184896 0.0009440104 0.0004123264 0.0008029514 0.00044487847 0.00048828125 0.00033637154 0.0014865452 0.0004231771 0.00046657986 0.00045572917 0.0010742188 0.000390625 0.000998264 0.0012478299 0.24340278 0.021430122 0.02547743 0.01764323 0.022623697 0.016905382 0.02172309 0.015679253 0.030088976 0.016189236 0.017361112 0.02062717 0.029112414 0.016677517 0.030392796 0.032443576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005837674 0.0011067708 0.0010959201 0.0009765625 0.001030816 0.000922309 0.000922309 0.0009874132 0.0014322917 0.0010416667 0.0009874132 0.0009440104 0.0012912326 0.0010091146 0.0011610243 0.0014756945 0.021180555 0.019032119 0.018836806 0.019715711 0.018467883 0.019422743 0.019108074 0.019238282 0.018956164 0.020692274 0.019704862 0.018804254 0.019748263 0.019108074 0.019010417 0.020084636 123.0 8.260162 1016.0 0.005905512 0.008858268 0.0068897638 0.00984252 0.00492126 0.032480314 0.005905512 0.003937008 0.02952756 0.030511811 0.00984252 0.005905512 0.002952756 0.0068897638 0.008858268 0.012795276 0.008858268 0.005905512 0.005905512 0.0068897638 0.035433073 0.0068897638 0.003937008 0.001968504 0.04035433 0.0137795275 0.00492126 0.007874016 0.007874016 0.008858268 0.005905512 0.005905512 0.008858268 0.011811024 0.007874016 0.012795276 0.008858268 0.015748031 0.0137795275 0.007874016 0.010826772 0.007874016 0.0137795275 0.008858268 0.008858268 0.0068897638 0.008858268 0.005905512 0.010826772 0.0068897638 0.00492126 0.016732283 0.005905512 0.00984252 0.002952756 0.005905512 0.002952756 0.0068897638 0.002952756 0.005905512 0.008858268 0.005905512 0.008858268 0.005905512 0.0068897638 0.010826772 0.005905512 0.00984252 0.048228346 0.036417324 0.011811024 0.007874016 0.005905512 0.007874016 0.005905512 0.00492126 0.011811024 0.011811024 0.00984252 0.00984252 0.00492126 0.00984252 0.011811024 0.0068897638 0.04429134 0.007874016 0.008858268 0.008858268 0.008858268 0.012795276 0.010826772 0.008858268 0.003937008 0.005905512 0.00492126 0.005905512 6.2325335 0.0 0.0 0.0 1.0 47104.0 163840.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1035092800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 1.0 0.0 4.0 0.0 19968.0 1024.0 4096.0 6.0 1.0 0.0 1.0 6.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33280.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.881302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7602444 0.0 -7.8723383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.978618 -7.823348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 81920.0 36864.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0