Input: 0.23595002 0.0058844737 0.0032240252 0.0020646018 0.0044069174 0.0035890953 0.0012777454 0.0014136687 0.0067991046 0.0019371532 0.0014579986 0.0010186108 0.0035708419 0.001082172 0.00094005547 0.0029163233 0.0036376626 0.0017722198 0.00089996296 0.00076110597 0.0018621834 0.0020952416 0.00061768555 0.0006858102 0.0015016767 0.0008807316 0.00056357693 0.00074937154 0.007663864 0.0006675568 0.0007259028 0.00062290084 0.008403783 0.00076566933 0.0010505543 0.0053652264 0.00793017 0.0013256607 0.0008836652 0.000702108 0.0019514952 0.00069363316 0.0006858102 0.00073046616 0.0010958622 0.0007774037 0.002473024 0.00062485656 0.0022533298 0.0011825663 0.0012340673 0.0018188313 0.0012643811 0.00069591484 0.00075817236 0.0007272066 0.0013892221 0.0007086271 0.00087127887 0.002347531 0.0012973027 0.001294695 0.0006180115 0.00077284034 0.0024629193 0.006284747 0.0034851155 0.005566341 0.0064852093 0.020422412 0.0022138893 0.0033097516 0.0034368741 0.005297754 0.0013054515 0.0010417536 0.0051608523 0.009726184 0.0060582077 0.0067893257 0.0065738694 0.0105814915 0.010184478 0.008504503 0.006211407 0.008515912 0.0025509272 0.0020857889 0.0019260707 0.0016519421 0.00091984624 0.00095244177 0.0041445233 0.0034297032 0.0019260707 0.014883777 0.0016447712 0.0063091936 0.0014107352 0.0032536872 0.004431038 0.008677912 0.0025362594 0.0022872293 0.0046347603 0.0057469206 0.0038091154 0.001996803 0.0036552644 0.0023814305 0.005609367 0.006890046 0.0029264279 0.00075426087 0.004909215 0.0054167276 0.007014235 0.0047371103 0.0025613578 0.0024397764 0.0024547705 0.0011036851 0.00077772967 0.0005391303 0.000899637 0.0024055513 0.00057172583 0.0008002206 0.00296978 0.0019449762 0.0010446872 0.007834665 0.0016027229 0.0032064237 0.00061116647 0.00081162906 0.0019443242 0.0056132786 0.0009208241 0.025739072 0.0009097416 0.004182334 0.00054988684 0.0007950053 0.0012477575 0.00087127887 0.0004644865 0.0005534723 0.0008295566 0.001141822 0.00052022486 0.00054890895 0.00079109386 0.00066592696 0.0004886072 0.0005397822 0.0008944217 0.00066299335 0.0005730297 0.00049545226 0.001119657 0.0010446872 0.0006568002 0.00060627714 0.000884969 0.0010407757 0.0004732873 0.0005433677 0.0012311337 0.00044688492 0.00067635754 0.0007712106 0.0008396612 0.0005449975 0.0004527521 0.0005606434 0.001038494 0.00046644223 0.0004631827 0.0005479311 0.0008905103 0.0010111138 0.0010179589 0.00067994307 0.0048727077 0.0019224852 0.00071221264 0.00055314635 0.00097265106 0.0011385623 0.0008178222 0.0007695808 0.0031376472 0.0016216283 0.0015153668 0.002063298 0.0036513528 0.000577919 0.0008761682 0.0039088577 0.0013608639 0.00072883634 0.00067114225 0.0006704903 0.12295137 0.00070699735 0.0006473475 0.00065843 0.0016444452 0.0006815728 0.00109684 0.0005449975 0.0010714155 0.00039082058 0.0005075126 0.00045927122 0.0013126226 0.014875954 0.00045079636 0.00050588284 0.0012568842 0.0004837179 0.00057889684 0.00065158494 0.0016604171 0.0006356131 0.00052706996 0.0005075126 0.0014873347 0.0015300348 0.00045405593 0.0006209451 0.008611742 0.005792228 0.0007425265 0.002545712 0.005173239 0.0005114241 0.004500141 0.00086932315 0.0027709473 0.0007640396 0.0007793595 0.001711592 0.003950254 0.0007350295 0.0007516532 0.0008289047 0.0036966607 0.00091560883 0.0011216126 0.0013136005 0.0059659625 0.0011643128 0.0019954992 0.023757914 0.031722955 1.9563856e-06 6.5212856e-07 3.2606428e-07 1.3042571e-06 3.749739e-06 3.586707e-06 6.5212856e-07 2.7715464e-06 8.1516066e-07 3.2606428e-07 4.890964e-07 0.034365706 1.141225e-06 2.28245e-06 1.4672893e-06 0.0022491913 4.2388356e-06 5.053996e-06 6.3582534e-06 1.2064378e-05 1.0923153e-05 3.945378e-05 1.8748695e-05 1.4346828e-05 9.781928e-07 1.6303213e-06 3.0976105e-06 0.00096107443 1.7933535e-06 4.4018675e-06 5.543093e-06 0.0043602944 1.5651085e-05 1.679231e-05 1.7281407e-05 7.385356e-05 5.9180667e-05 7.76033e-05 3.994287e-05 4.6953257e-05 1.3531668e-05 9.1298e-06 1.14122495e-05 0.002170773 1.5814117e-05 2.2824499e-05 6.0647955e-05 0.0025043366 3.5377972e-05 0.00025791684 1.7118375e-05 9.178709e-05 3.896468e-05 0.0001263499 3.9127714e-05 7.5972974e-05 2.0379017e-05 8.151607e-06 8.314639e-06 0.0023776607 9.455864e-06 2.6574238e-05 3.8638616e-05 0.005119046 7.2223236e-05 7.5972974e-05 6.651711e-05 0.00017118374 0.00013156694 0.0002800892 0.00010352541 0.00013466454 3.994287e-05 2.9345785e-05 3.2280364e-05 0.0025640065 3.7823454e-05 5.0213897e-05 0.00010662302 0.05724107 0.00019514946 0.0010921523 0.00032850975 0.018014887 0.01360601 0.0011482353 0.00026134052 0.00047866235 0.00011069882 9.3254384e-05 0.00011656798 0.0030107144 0.00013172996 0.00013254513 0.00019873618 0.03431533 0.00012243714 0.0042879083 0.0004941504 0.016998546 0.013012084 0.007264223 0.0033304205 0.00016319517 0.00013205603 7.2060204e-05 6.8147434e-05 0.001349091 9.9775665e-05 8.950464e-05 0.0003379656 0.008293118 0.00017509652 0.0015383712 0.0003479106 0.0015160359 0.0014787015 0.004895366 0.0023086981 0.00036959385 7.825543e-05 7.695117e-05 0.00012357836 0.0040648803 9.7167154e-05 0.00020509443 0.00047458656 0.011506971 0.0001633582 0.00320619 0.000847278 0.0047362465 0.004854445 0.011170636 0.005038671 0.00026443813 0.000101732054 0.00011265521 0.00013792519 0.0019873618 0.00011135095 0.00013678396 0.00036519198 0.009506893 0.00022335403 0.0033979157 0.001607823 0.010716755 0.010227984 0.013554818 0.0062027206 0.0006676166 0.0001227632 0.000112329144 0.00013352332 0.003145216 0.00012243714 0.0002851432 0.00040676518 0.0069719064 0.00035443186 0.0017111853 0.000948684 0.0027066595 0.002724267 0.0047830367 0.002384834 0.0010867722 0.00016042362 0.00017085767 0.00020786597 0.005230397 0.00022041945 0.00047426048 0.0009157515 0.010062995 0.0009889529 0.001278824 0.0011342146 0.0021176245 0.003326997 0.0019457885 0.0012563256 0.0023194582 0.00052920234 0.00088510144 0.0008308118 0.0072784065 0.0006870174 0.0022022382 0.0022211499 0.03758934 0.0055882526 0.004296549 0.0038826102 0.010392157 0.010964889 0.005915458 0.005087581 0.016724 0.002480045 0.0025338454 0.0055163554 0.031383034 0.0048277075 0.00977932 0.0149921095 0.044837423 0.012032261 0.009053663 0.0046513067 0.015184161 0.018853037 0.008771292 0.008910032 0.030814867 0.002855997 0.0030087582 0.005722754 0.039946135 0.014323188 0.01720576 0.0249312 0.005220452 0.0013810452 0.0010988367 0.0007510891 0.0017891147 0.001678905 0.0011793745 0.0009904202 0.003079677 0.0005815356 0.00066191045 0.00076771836 0.001658852 0.0016035842 0.0013922944 0.002876376 0.00584242 0.004358664 0.004143788 0.004135147 0.0045515313 0.004097976 0.004134332 0.0043472517 0.0044571357 0.004063087 0.004119659 0.0041975887 0.0042988313 0.0042305207 0.0041708513 0.0043002986 15913.0 26.921762 428406.0 0.033276845 0.0004761838 0.0008309874 0.03432725 0.0013398505 0.003524694 0.0011180983 0.00085199554 0.0013188424 0.0011134298 0.0007002703 0.0005111973 0.00082398474 0.0017109938 0.012670224 0.0006115694 0.006351452 0.004143266 0.0040755733 0.002350574 0.0016059532 0.0012278073 0.0012791604 0.00086133246 0.0009803785 0.0009920496 0.001972428 0.0006115694 0.000887009 0.0018300398 0.0005648847 0.0006045667 0.0016643091 0.024152324 0.005289375 0.016248606 0.02499965 0.045895714 0.007511566 0.01791058 0.0038374814 0.02108514 0.0038281444 0.0025139705 0.01863886 0.014376549 0.027065447 0.028928166 0.01248582 0.0015195865 0.03331186 0.04233134 0.02220557 0.017875567 0.0050116014 0.0036950929 0.0029761489 0.0031605533 0.0010690794 0.0006815964 0.023293324 0.00037114325 0.0006302433 0.062279705 0.00027777388 0.035216592 0.00487855 0.015177192 0.018475465 0.038076032 0.0089214435 0.0091712065 0.005828583 0.028281583 0.0033286181 0.0040498967 0.012313087 0.0089214435 0.028662063 0.03777258 0.010109569 0.0005905613 0.023944575 0.026262471 0.021951139 0.00980145 0.009250571 0.008347222 0.0021778406 0.003006494 0.0011344379 0.0005648847 0.00018673875 0.00018440452 0.00018207027 0.0005648847 5.618899 48.0 4.0 1.0 6.0 3067904.0 3993600.0 1.0 0.0 418.0 0.0 1.0 0.0 0.0 0.0 1542186500.0 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 8.0 0.0 4.0 0.0 4.0 0.0 1613824.0 4096.0 4096.0 6.0 1.0 0.0 2.0 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 913408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -225280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1613824.0 -16384.0 294912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5413327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.460811 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6908603 -4.80732 6.9991856 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 912182.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -356996.0 0.0 0.0 0.0 0.0 0.0 0.0 786817.0 0.0 -1613556.0 -14411.0 291769.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -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 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 2.0 0.0 0.0 -2.0 -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 1.0 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 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 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 2.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 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 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -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 -1.0 -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 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 1.0 0.0 0.0 0.0 -1.0 -1.0 -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 1.0 -1.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 3.0 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 1.0 1.0 -1.0 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 -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 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 2.0 -1.0 1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 -1.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 3682304.0 291769.0 3698688.0 0.0 0.0 0.0 0.0 2089.0 0.0 28.0 2415456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2956.0 3685660.0 0.0 0.0 0.0 0.0


Input: 0.0058613312 0.0034507238 0.003399728 0.0036643068 0.0034585234 0.0035785136 0.0035553155 0.0037898968 0.0034551236 0.0035057196 0.0034823215 0.0037295017 0.003538117 0.0036921047 0.0037225022 0.003928086 0.0034433245 0.0035781139 0.0035651147 0.003775098 0.0035321175 0.0037570994 0.0037780977 0.0038830894 0.0035781139 0.0036553075 0.0037501 0.003940485 0.0037570994 0.0038658907 0.003864891 0.004135869 0.0034535236 0.0035783136 0.0035203183 0.003763699 0.003587913 0.0036601073 0.0037179026 0.0039198864 0.0034737221 0.0036677066 0.0036443085 0.0039068875 0.0037503 0.003957683 0.0038162947 0.004135469 0.003486321 0.0037708983 0.0036311096 0.0039436845 0.0037518998 0.0039194864 0.0038946883 0.00399828 0.0037327013 0.0038690905 0.0038592913 0.004113071 0.0038196945 0.00399748 0.004023678 0.0042480603 0.0035295177 0.003587913 0.0035831134 0.003735901 0.0035919126 0.003851892 0.0037067034 0.0039040877 0.0035313175 0.0037165026 0.0036139109 0.0038780898 0.003662307 0.0039170864 0.0038722903 0.0039928807 0.0035981121 0.0037447005 0.0037031039 0.0038902888 0.0036795055 0.0037982962 0.003958883 0.0040026796 0.0037473002 0.0038290936 0.003923086 0.0040456764 0.0038704905 0.0039834813 0.0040658745 0.004259859 0.0034963202 0.003787097 0.0037782977 0.003921286 0.0037920966 0.003925886 0.0039426847 0.0040420764 0.0037445005 0.003973682 0.0039218864 0.0041020717 0.003950684 0.004089473 0.0041318694 0.0042680586 0.0037455005 0.0040058796 0.0039452845 0.004111871 0.003987281 0.0041316696 0.0040658745 0.004220662 0.0038762898 0.004034677 0.0039918805 0.0041952645 0.0040426766 0.0042324616 0.0041826656 0.0044182464 0.003361131 0.003574514 0.0035689145 0.0038172947 0.003586713 0.0037882968 0.0037273017 0.0038898888 0.0036497081 0.0038488922 0.0036717062 0.0040930724 0.003662507 0.0039904807 0.0038930885 0.004100272 0.0035911128 0.0037225022 0.0037157028 0.0039054875 0.003649308 0.0038938886 0.0038210943 0.0039804815 0.003725502 0.0038432926 0.0038980881 0.0040556756 0.0038688905 0.0040222784 0.0039850813 0.004136269 0.0035067194 0.0037968962 0.0037554996 0.003888689 0.0037293017 0.0038760898 0.0038900888 0.0039846813 0.0037065034 0.0038200943 0.0037926966 0.003940885 0.0038766898 0.0040268777 0.004012079 0.004186065 0.003689305 0.003925086 0.0038298937 0.003946884 0.0039302856 0.004062875 0.004044676 0.0041598673 0.0039344854 0.004063475 0.004010479 0.004082673 0.004100072 0.0041810656 0.0042208624 0.0044218465 0.0035027198 0.003725502 0.0037439005 0.003864891 0.003909687 0.003950684 0.0039170864 0.0040398766 0.0038436926 0.0038936886 0.0038666907 0.003972682 0.003920886 0.0039676824 0.003962283 0.0041690664 0.0037097032 0.0039084875 0.003899888 0.0039928807 0.0038700905 0.00400148 0.0040810737 0.0042192624 0.003946484 0.004036877 0.0040832735 0.0041778656 0.004086473 0.0041672667 0.0042428607 0.004391249 0.003862491 0.0038816894 0.003947284 0.003975282 0.0039054875 0.0039786818 0.0040260777 0.0041940645 0.0040290775 0.0040198783 0.0039420845 0.0042292615 0.0040602754 0.0041564675 0.004262059 0.004324654 0.003938285 0.004075274 0.004011079 0.0041204705 0.0040568756 0.004160867 0.004239461 0.0044580433 0.0041452684 0.0041806656 0.0041794656 0.0044532437 0.0042592594 0.0043430524 0.0043950486 0.005573354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018413064 2.1003495e-06 1.5002496e-06 3.0004992e-07 8.0013314e-07 3.0004992e-07 9.0014976e-07 6.0009984e-07 3.0004992e-07 5.000832e-07 9.0014976e-07 1.0001664e-07 2.0003328e-07 1.1001831e-06 2.0003328e-07 1.0901814e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016442736 3.1005159e-06 2.4003994e-06 2.1003495e-06 2.1003495e-06 2.3003827e-06 6.9011485e-06 2.800466e-06 6.0009984e-07 4.0006657e-07 1.8002995e-06 2.2003662e-06 1.700283e-06 3.3005492e-06 6.0009984e-07 8.101348e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00025274206 4.1006824e-06 1.24020635e-05 1.46024295e-05 1.1501914e-05 6.3010484e-06 4.9408223e-05 2.8404727e-05 4.700782e-06 2.1003495e-06 2.500416e-06 8.0013314e-07 6.0009984e-07 1.6002663e-06 9.0014976e-07 1.7002829e-05 0.000108318025 1.400233e-06 2.4003994e-06 3.900649e-06 5.3408887e-05 2.1303546e-05 0.00013842303 6.8611414e-05 1.0001664e-06 1.0001664e-06 1.8002995e-06 9.0014976e-07 1.9003162e-06 1.9003162e-06 8.0013314e-07 2.6004327e-06 0.00023663937 7.6012648e-06 1.5402564e-05 7.6012648e-06 4.1806958e-05 2.4904144e-05 0.00013192194 9.301548e-05 2.710451e-05 4.1006824e-06 4.500749e-06 3.0004992e-06 4.8007987e-06 3.900649e-06 4.300716e-06 3.900649e-06 0.00043597256 2.560426e-05 4.1606923e-05 3.870644e-05 4.2707106e-05 3.550591e-05 0.000110618406 7.971327e-05 4.9308204e-05 1.4702447e-05 1.670278e-05 1.340223e-05 1.910318e-05 1.7302878e-05 1.550258e-05 6.771127e-05 0.00024934148 3.1705276e-05 1.910318e-05 1.4502413e-05 3.0805128e-05 2.1503578e-05 2.1803628e-05 3.070511e-05 4.410734e-05 1.6202695e-05 1.490248e-05 1.370228e-05 1.9703279e-05 1.4502413e-05 2.0903479e-05 5.1008486e-05 0.0004963826 9.1715265e-05 6.0810118e-05 6.481078e-05 0.00011761957 0.000100616744 8.811466e-05 0.00012872143 0.00013392228 9.151523e-05 7.311217e-05 7.411233e-05 7.171193e-05 4.7007823e-05 0.00010071676 0.00030745115 0.001184097 0.00030795124 0.0002319386 0.00026304377 0.00044307372 0.0004176695 0.00031395225 0.00046667765 0.0004974828 0.00019283209 0.00017892977 0.00017352888 0.00023063838 0.00012962156 0.00034945816 0.0009689612 0.05642419 0.059388284 0.059170846 0.06165386 0.058935508 0.06147563 0.06200842 0.0642916 0.059471097 0.061496735 0.061499935 0.0643279 0.061905302 0.06460295 0.0643065 0.067160875 23423.0 5.816548 136241.0 0.010518126 0.009130878 0.009798813 0.009446495 0.009652014 0.009233638 0.009813492 0.010239208 0.009226298 0.009461176 0.0094097955 0.010598865 0.009879552 0.010371327 0.010613545 0.010246549 0.009556594 0.009696053 0.009798813 0.010474087 0.01000433 0.009850192 0.010261228 0.010261228 0.009424476 0.009563934 0.010224529 0.0108484235 0.010129109 0.010598865 0.011024581 0.010371327 0.008272106 0.010334628 0.009028119 0.010026351 0.009629994 0.0097180735 0.009549255 0.0101144295 0.009174918 0.010180489 0.009299696 0.009967631 0.009725413 0.010209849 0.010341967 0.010730984 0.009652014 0.010019011 0.01008507 0.010598865 0.010165809 0.009908912 0.01004103 0.010584186 0.009659354 0.010158469 0.01010709 0.010239208 0.010408027 0.010965862 0.010701625 0.011420938 0.008727182 0.012000793 0.0097767925 0.010995221 0.010576845 0.01448903 0.010701625 0.011332858 0.010584186 0.012066852 0.0099749705 0.010620885 0.012228331 0.011068621 0.012800845 0.013446759 0.010701625 0.011340199 0.012455869 0.012543947 0.013197202 0.010973202 0.010510786 0.011347539 0.010341967 0.010753004 0.010151129 0.010672265 0.010180489 0.010936502 0.010929163 0.010826403 6.578671 1.0 3.0 0.0 77.0 5000400.0 253952.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1301313300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 24576.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3749566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7796963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5355253 0.0 6.632261 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154044.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24226.0 0.0 24488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 30564.0 24488.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.06762226 0.0060640415 0.004278807 0.004662556 0.005175821 0.004317981 0.004305989 0.0035824613 0.005354904 0.003250678 0.0031043736 0.0034489485 0.005366097 0.0044083223 0.0030436132 0.009413854 0.010275692 0.00802676 0.002775788 0.0028157618 0.0037911253 0.004678546 0.002789379 0.0027054339 0.003916643 0.0028437437 0.0027518037 0.0028181602 0.0033634044 0.0033626049 0.0027821837 0.0030276235 0.0041524894 0.002814163 0.0029037045 0.0030372173 0.0043419655 0.0034825266 0.0029276889 0.0028149623 0.003361006 0.0027629964 0.0028821186 0.0034953183 0.0032163004 0.0030436132 0.0027733895 0.002790978 0.0035544797 0.0028853165 0.0027693922 0.004631377 0.003321032 0.0033002456 0.0027382125 0.0027086318 0.003406576 0.0033234304 0.0026582647 0.0033817925 0.0033138366 0.0035344926 0.0028717252 0.002814163 0.004557025 0.0040557524 0.0041133147 0.003916643 0.0044035255 0.0056890864 0.0046929363 0.005073488 0.0037887266 0.0030923814 0.0030212277 0.0029484753 0.0034393547 0.0035185032 0.0029908477 0.0029924465 0.004445898 0.003120363 0.004262817 0.0038071147 0.00373756 0.0037143752 0.0033682012 0.0032866544 0.003249079 0.0032003107 0.0026926422 0.0027877802 0.0032962481 0.0034673365 0.0031075713 0.0030811885 0.0034657377 0.003177126 0.0026550668 0.003100376 0.003543287 0.0036360263 0.0037519508 0.0028197593 0.015592221 0.0052030035 0.0033713991 0.0027262203 0.0033650033 0.0031723292 0.0032770608 0.0034009798 0.0037351616 0.002906103 0.0033218316 0.0035193027 0.004353158 0.0041261064 0.0028637305 0.0027685927 0.0033634044 0.00284934 0.0030292226 0.0027661943 0.0032538758 0.003317834 0.003068397 0.0029668633 0.005294943 0.0036480185 0.002867728 0.0053908806 0.00527016 0.007021017 0.0031131678 0.0028821186 0.00404456 0.0059489165 0.0029828527 0.01095285 0.0031835218 0.0053884825 0.0029316861 0.0027677931 0.0035081098 0.0027222228 0.0026622622 0.0027789858 0.0032442822 0.003160337 0.002699038 0.0027286187 0.0033450164 0.0026918428 0.0027470067 0.002846142 0.0032027094 0.0029356836 0.0027454079 0.0028517384 0.003667206 0.004250825 0.0029908477 0.00461059 0.0031467457 0.0027510042 0.0026622622 0.0027829832 0.0035161048 0.002810965 0.0028397462 0.0028549363 0.0032714645 0.0028749232 0.0027725901 0.002953272 0.0037047814 0.0029069025 0.0027118297 0.0028037697 0.0032051078 0.003016431 0.00373756 0.0030204284 0.0062998873 0.0032011103 0.0029332852 0.0027949754 0.0032226963 0.003016431 0.0032075061 0.0029924465 0.005003134 0.00476409 0.0032019098 0.005016725 0.0034945188 0.0027198244 0.0037343623 0.0065117492 0.003978203 0.0030492095 0.0029572695 0.0028701264 0.004603395 0.0027302178 0.0029604675 0.003053207 0.003705581 0.0029908477 0.0028965091 0.0028773218 0.00327786 0.0026438741 0.0028117644 0.0028101655 0.0035792633 0.0028669285 0.0028693269 0.0028941107 0.0035376905 0.0030675975 0.0029484753 0.0027813844 0.004116513 0.002942879 0.002810965 0.0028197593 0.00363043 0.0030508083 0.002789379 0.0027062334 0.005366097 0.0049951393 0.0027645952 0.0029276889 0.003820706 0.0027869807 0.0028741239 0.0029828527 0.0042196456 0.0028317515 0.0027997724 0.0032226963 0.0036208364 0.0031395506 0.0033690007 0.0030540063 0.0041045207 0.0031947144 0.003141949 0.0036200369 0.0041325022 0.0036248337 0.0040101823 0.023707723 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030257427 0.00011726755 0.00022653048 0.00018370581 0.0004782755 0.00017770236 0.00073442305 0.0005291048 0.0006279617 8.444864e-05 0.000110063396 0.00013127562 0.00019131019 0.00020291688 0.00046026512 0.00091572746 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.005510774 0.00076363987 0.0005319064 0.0007780482 0.0013071529 0.001218702 0.0008769051 0.0011170434 0.002808818 0.00033579342 0.00030857773 0.0005483158 0.0013944032 0.00049428473 0.0014068104 0.0027299724 0.042941533 0.0140080685 0.0069924276 0.007543545 0.012713322 0.009753218 0.013654265 0.0070372536 0.019584881 0.0054551424 0.007519531 0.008374023 0.012106974 0.0059110047 0.008299581 0.01810523 0.06566902 0.047143556 0.041574348 0.041830093 0.045494605 0.042103052 0.04637271 0.040592983 0.04954774 0.040424883 0.042159885 0.04291472 0.045726337 0.041306593 0.04213427 0.047956023 4563.0 7.027175 32065.0 0.018462498 0.0072976765 0.008139716 0.0073912367 0.009012942 0.0076407297 0.0074847965 0.0080149695 0.008077343 0.0071417433 0.007796663 0.007515983 0.006642757 0.006455637 0.008139716 0.0072353035 0.009667862 0.00792141 0.007016997 0.009012942 0.007204117 0.007515983 0.0072353035 0.00670513 0.00707937 0.008077343 0.0070481836 0.008888196 0.0071105566 0.007422423 0.007796663 0.007859036 0.008358023 0.009511929 0.008732263 0.010260409 0.008981756 0.008108529 0.012006861 0.008825823 0.008825823 0.007983783 0.007422423 0.007204117 0.009231249 0.008576329 0.008576329 0.0077654766 0.010665835 0.008420396 0.008077343 0.010385155 0.0095743025 0.008170903 0.008888196 0.010759395 0.0087946355 0.00726649 0.0087946355 0.00689225 0.009324809 0.007016997 0.0069234367 0.010447528 0.008950569 0.018368939 0.008763449 0.015967567 0.014470607 0.032839544 0.009823795 0.010572275 0.021924216 0.026446281 0.008326836 0.008046156 0.017495712 0.017464526 0.021019803 0.026571028 0.014564167 0.011975674 0.02292219 0.025074068 0.024886949 0.0124434745 0.009200063 0.00726649 0.009387182 0.010260409 0.008513956 0.0074847965 0.008981756 0.00689225 0.008389209 0.00792141 6.4441504 0.0 2.0 0.0 10.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.014865496 0.0058937203 0.004101253 0.007231071 0.0043769926 0.004278677 0.0047744866 0.004499398 0.0041491087 0.0052396944 0.004377318 0.007646145 0.0042054285 0.0042669573 0.0057706633 0.004092789 0.0041126474 0.0038583945 0.0037591024 0.004624734 0.0037812395 0.0037669155 0.0044723777 0.0038167243 0.0039433623 0.0037776586 0.0038229097 0.0042155203 0.004214544 0.0037955637 0.0040888824 0.003868812 0.0038938792 0.0037890528 0.0037805885 0.0037744031 0.0038876939 0.0037717987 0.003971685 0.0040573045 0.0045065605 0.0038404893 0.003750638 0.0038346294 0.0037796118 0.0037997959 0.0039433623 0.003794587 0.0039355494 0.0038671843 0.003868812 0.0039791726 0.0037548703 0.0036611124 0.003743476 0.0036969227 0.0037822162 0.0037154788 0.00376659 0.00380826 0.004116554 0.003868161 0.003793936 0.003834955 0.0037288263 0.0038033768 0.0037913315 0.0038248631 0.003745755 0.0037164555 0.003740546 0.0037857972 0.0037766818 0.0038160733 0.003770822 0.0037447782 0.004980558 0.003801749 0.0038134689 0.0037558468 0.0038004469 0.003732733 0.0037659388 0.0037870994 0.003764311 0.003743476 0.003807609 0.003716781 0.0037291518 0.003760079 0.0037796118 0.0037148278 0.0037122234 0.0036965972 0.003705387 0.003777984 0.0037102702 0.0037949125 0.003669251 0.0037597534 0.003783193 0.0038922515 0.0037278498 0.0037789608 0.0038001214 0.0037659388 0.0037307797 0.0037265476 0.0038014236 0.0038541623 0.00376659 0.0037874249 0.0037555213 0.003748685 0.0037792863 0.003844396 0.0038118411 0.0037171065 0.003810539 0.0037311052 0.0037343607 0.0037584512 0.0037359884 0.0037548703 0.0037177578 0.0036594847 0.0036865051 0.0036581825 0.0037633344 0.003743476 0.0037301285 0.003754219 0.0036835752 0.0037118979 0.0037115724 0.0037402206 0.0037529168 0.0036806453 0.0036992014 0.0036943182 0.0037158045 0.0037447782 0.0037102702 0.0037441272 0.0037216642 0.003651997 0.003708968 0.0037662643 0.0036705532 0.0037164555 0.0037359884 0.003703108 0.0037044103 0.003695946 0.0037076657 0.0037187345 0.0036604614 0.0037581257 0.00371613 0.0036884584 0.0036878074 0.0037389183 0.0037040848 0.0036965972 0.0037115724 0.0037581257 0.0037158045 0.0037587767 0.003689435 0.00372199 0.0036842262 0.0037118979 0.0036865051 0.0037744031 0.0036751109 0.0037258964 0.0038470002 0.0036939927 0.003711247 0.0037402206 0.0037343607 0.0037210132 0.0037158045 0.0036725067 0.00367153 0.0036669723 0.0037040848 0.0037516148 0.003736314 0.003695295 0.0037187345 0.003742825 0.0037180833 0.0037109212 0.0037340352 0.0036581825 0.003773101 0.0036868306 0.0037324075 0.0036796685 0.0037584512 0.0037271986 0.0037415228 0.003703108 0.0037516148 0.0037245941 0.0037122234 0.0037076657 0.0037561725 0.0037154788 0.0037799373 0.0037545445 0.0037467314 0.003742825 0.0037548703 0.0037353374 0.0037451037 0.0037626834 0.0037210132 0.0036546015 0.0037047358 0.003682273 0.003716781 0.0037086424 0.0037984936 0.0037044103 0.0036848774 0.0037187345 0.0038401638 0.0037252454 0.003923504 0.0037141766 0.003783844 0.0037984936 0.0037366394 0.0038300718 0.003698225 0.003703108 0.003706689 0.0037418483 0.0037675665 0.0036767386 0.003729803 0.0036546015 0.0037210132 0.0037206877 0.0037187345 0.0036949695 0.0036601357 0.003708317 0.0036949695 0.0036897606 0.0036962715 0.003783844 0.004712307 0.0072877165 0.005620935 1.6612637e-05 1.140083e-05 1.3029519e-05 6.51476e-07 1.62869e-07 8.1434496e-07 1.62869e-07 4.88607e-07 1.62869e-07 0.0 6.51476e-07 6.51476e-07 1.6286899e-06 1.62869e-07 2.931642e-06 0.00063339755 1.807846e-05 1.1075092e-05 4.560332e-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 0.0029419027 0.00030114478 4.869783e-05 4.381176e-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 0.004335247 0.00053567614 0.0003304612 0.000135507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052160425 0.0008110876 0.00056499254 0.0003262266 5.048939e-06 3.2573798e-06 6.840498e-06 1.9218542e-05 4.071725e-06 4.2345937e-06 4.8860697e-06 3.5831179e-06 3.908856e-06 3.094511e-06 2.2150183e-05 6.0261527e-06 0.0035218792 0.000593006 0.00049039855 0.00023909169 1.596116e-05 1.1726568e-05 1.2866651e-05 2.3127397e-05 4.397463e-06 5.700415e-06 5.700415e-06 9.283533e-06 1.0097878e-05 9.7721395e-06 2.6547646e-05 2.3778874e-05 0.0016325988 0.00017850442 6.3518906e-05 1.5309686e-05 0.00044170071 0.00023713725 1.5146817e-05 1.2215175e-05 2.3290266e-05 5.863284e-06 4.2345937e-06 2.768773e-06 6.351891e-06 4.2345937e-06 2.0684363e-05 4.8860697e-06 0.00093942834 0.00024446636 0.00010537624 7.5896955e-05 0.0003151515 0.00010879649 4.0228642e-05 1.7101245e-05 3.5831179e-06 2.1172968e-06 1.140083e-06 3.420249e-06 4.723201e-06 7.329105e-06 0.0001449534 0.00032117765 0.00068128103 0.00064756715 0.00016710359 0.00013648422 7.182523e-05 5.6189805e-05 5.781849e-05 8.290032e-05 1.1726568e-05 7.654843e-06 7.003367e-06 9.723279e-05 3.3062406e-05 1.2540912e-05 1.0097878e-05 0.00025440138 0.0012808018 0.00068470126 0.00034967973 0.0002920241 0.0004944703 0.00010961083 0.00013273823 7.638556e-05 5.000078e-05 1.0912223e-05 7.817712e-06 7.605982e-05 7.980581e-05 3.6808393e-05 0.00019609428 0.00079186907 0.0012788473 0.00014690784 0.00026189335 0.00014283611 0.00049870485 0.00010700493 0.00016417194 8.5506224e-05 7.068514e-05 3.094511e-05 2.1987315e-05 0.00018501918 0.0001586344 0.00017834155 0.000210101 0.0017953049 0.00087802677 0.00020212043 0.00020358624 0.00010586485 0.00031775743 9.869861e-05 0.00013436693 8.013155e-05 3.192232e-05 3.1270847e-05 2.915355e-05 0.00015814579 0.00017671286 9.9675824e-05 0.00014821079 0.0013070237 0.00039463158 4.706914e-05 5.342103e-05 4.0228642e-05 0.000102933205 6.791637e-05 4.853496e-05 3.4853965e-05 5.2606687e-05 3.5016834e-05 1.9707148e-05 4.2834545e-05 3.9414295e-05 3.1759453e-05 4.3160286e-05 0.00028013467 0.00062574266 0.000105701976 0.00012915512 0.00012589773 0.00013208676 0.000115799856 0.00019023099 0.00012834076 7.443113e-05 6.140161e-05 4.560332e-05 4.869783e-05 3.9902905e-05 5.016365e-05 5.2606687e-05 7.557122e-05 0.00039968052 0.00012019732 0.0001654749 0.00019788583 8.583196e-05 0.00010765641 0.00024120898 0.00017573565 9.120664e-05 6.026153e-05 6.482186e-05 5.700415e-05 5.5701195e-05 5.9121445e-05 5.2769556e-05 6.677629e-05 0.059107766 0.059300765 0.05921249 0.05923708 0.059145875 0.058988545 0.05929653 0.059182357 0.059195224 0.059102878 0.059259396 0.058872256 0.058942452 0.059218515 0.059211187 0.05902421 14060.0 6.1674967 86715.0 0.011785734 0.010448019 0.010321167 0.009433201 0.010032866 0.009098772 0.014576486 0.017851584 0.02675431 0.01067866 0.008845068 0.010632532 0.010436487 0.010090526 0.010817044 0.0099636745 0.012050971 0.010067462 0.011497434 0.011601223 0.010044399 0.009986738 0.00926022 0.009110304 0.009733033 0.009871418 0.009525457 0.009790693 0.021218935 0.013296431 0.010943897 0.010321167 0.009191028 0.010136655 0.010102059 0.011059217 0.009133368 0.008775875 0.009871418 0.009225625 0.010217379 0.009490861 0.00920256 0.010136655 0.009387072 0.008822003 0.01017125 0.009214092 0.009029579 0.009340945 0.009306348 0.011324454 0.008845068 0.009283285 0.010528743 0.0096407775 0.008706682 0.008960388 0.010044399 0.008960388 0.009617713 0.008914259 0.009156432 0.0086144265 0.008925792 0.010782449 0.0093178805 0.0103442315 0.010448019 0.014126737 0.009767629 0.009686905 0.009375541 0.011013089 0.009075708 0.0099060135 0.010840109 0.010644064 0.011462838 0.011059217 0.010413423 0.009675373 0.011266793 0.011451306 0.011681947 0.009744566 0.011197601 0.009248688 0.009410136 0.009294816 0.009617713 0.009421669 0.00926022 0.009340945 0.008303062 0.009398605 6.554113 1.0 19.0 0.0 69.0 3071744.0 9289728.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1396426500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 6015488.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2909696.0 0.0 157184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8463244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999651 0.0 5.5901847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9121792.0 0.0 159744.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1987.0 9277636.0 148463.0 9125888.0 0.0 0.0 9168.0 3068416.0 24.0 9285632.0 28.0 9282836.0 0.0 0.0 0.0 0.0 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: 0.06766543 0.0061279996 0.0041956613 0.004553028 0.0050942744 0.004297195 0.00419726 0.0036200369 0.0053469096 0.0031947144 0.0032003107 0.0034945188 0.00534611 0.0045210486 0.0031011757 0.009504995 0.010210135 0.007906039 0.0027518037 0.0027270198 0.0037815315 0.0047129234 0.0028405457 0.002703835 0.0038974558 0.002852538 0.0027669936 0.0028045692 0.0034089747 0.0033154357 0.002792577 0.0028941107 0.004167679 0.0027829832 0.0028853165 0.0030036392 0.004295596 0.0034225658 0.0028253556 0.002798973 0.0033953835 0.0027078323 0.0028853165 0.0035073105 0.0032067066 0.0030731938 0.002758999 0.0027693922 0.0036096436 0.0028389466 0.0027901786 0.0045290436 0.0033674017 0.0033114383 0.0028669285 0.0026590643 0.003412972 0.0033082403 0.0027262203 0.003357808 0.0032147015 0.0034825266 0.0028253556 0.0027829832 0.0045210486 0.004053354 0.004081336 0.0039102472 0.004377942 0.005665102 0.004649765 0.0050391103 0.0037863282 0.003141949 0.0028805195 0.0029660638 0.0034241646 0.0036560134 0.0029988424 0.0030636 0.0043755434 0.0031227614 0.0042204447 0.0037551487 0.0037647423 0.0036176385 0.0032898523 0.0032978472 0.0032698654 0.0031667328 0.0027030355 0.0028549363 0.0032850555 0.0034329589 0.0030508083 0.0030364178 0.0035872583 0.003135553 0.0026358792 0.003042014 0.003503313 0.0036480185 0.003855883 0.002878121 0.015580229 0.0050998707 0.0033114383 0.0027406109 0.0033602065 0.0031395506 0.0032906518 0.0034353575 0.003688792 0.0028541368 0.003319433 0.003488123 0.0043403665 0.0041341013 0.002824556 0.0028317515 0.0033266284 0.0029108997 0.003013233 0.0028021708 0.003304243 0.003299446 0.0030715948 0.0029756576 0.0053205267 0.003633628 0.0029580689 0.005364498 0.005251772 0.007025014 0.003103574 0.0028749232 0.004149291 0.005931328 0.0030907823 0.010828132 0.0031827223 0.005389282 0.0029172956 0.0027510042 0.0034017793 0.0027350145 0.0026918428 0.002758999 0.0031659333 0.0031491444 0.0026870458 0.0027198244 0.0032930502 0.0028229572 0.0028229572 0.0028373478 0.0032594723 0.0029900481 0.0029108997 0.0029572695 0.0037543492 0.004290799 0.0029820532 0.004640171 0.0032482794 0.0027094313 0.002700637 0.0027885796 0.0035233 0.0029045038 0.002881319 0.0028733243 0.00323229 0.0028797202 0.0028197593 0.002919694 0.0036624093 0.0029796548 0.00268065 0.0028317515 0.0032746622 0.0030380168 0.0037679402 0.0030787901 0.0062111453 0.0031899177 0.0029324857 0.0028941107 0.0031459464 0.0030460116 0.0031939151 0.0029836523 0.005019923 0.004866423 0.003212303 0.004995939 0.0035640735 0.0027446083 0.0036176385 0.006501356 0.003903052 0.0029508737 0.0029468762 0.0028805195 0.0045666187 0.0026462725 0.0029724597 0.003081988 0.0037911253 0.0029284882 0.0029476758 0.0028853165 0.0031931156 0.002648671 0.0028213582 0.002739012 0.0036368258 0.0028349494 0.0027478063 0.0029037045 0.0035536801 0.003068397 0.0029980429 0.0028013713 0.0041668797 0.002946077 0.0028317515 0.0028237565 0.0036160394 0.0030188293 0.0028037697 0.00274221 0.0053437115 0.0049016 0.0028653296 0.0030252251 0.00379912 0.0027981733 0.0029468762 0.0030779906 0.0041708774 0.0027973738 0.0027158272 0.0031867197 0.0037343623 0.003163535 0.003356209 0.0030867849 0.0040989243 0.003230691 0.0031363526 0.0036040472 0.004200458 0.003688792 0.0040021874 0.023829244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030217406 0.00012086962 0.00023493532 0.00018770812 0.00047667456 0.00017329982 0.00073442305 0.0005259029 0.0006275615 8.324795e-05 0.000108062246 0.00013647861 0.00019251088 0.00019891457 0.00046026512 0.0009141265 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.005307457 0.0007388256 0.0005118949 0.0007580366 0.0012855405 0.0011950884 0.0008532915 0.0010966316 0.0026479252 0.00031658236 0.00028656507 0.0005231013 0.0013579822 0.00045025934 0.0013219614 0.0026603322 0.043135647 0.014034884 0.0070300493 0.0075687594 0.012733734 0.0097660255 0.013678679 0.0070564644 0.019736968 0.0054783556 0.007549949 0.008412045 0.012149799 0.0059486264 0.008376425 0.018163262 0.06574227 0.046779346 0.041233752 0.041691214 0.045418963 0.04173644 0.046358302 0.04057337 0.049640194 0.040756676 0.042545706 0.043032788 0.045541033 0.041257765 0.04246486 0.04817815 4498.0 7.05558 31736.0 0.018842954 0.0063650114 0.008318629 0.007940509 0.008854298 0.00740484 0.0069637005 0.009200907 0.0075938995 0.0067431307 0.0067746406 0.008129569 0.0075308797 0.006680111 0.007972019 0.00731031 0.009358457 0.00721578 0.007845979 0.00737333 0.00787749 0.007845979 0.0067746406 0.006554071 0.006680111 0.008318629 0.0075308797 0.0077829594 0.00765692 0.0069006807 0.0076254094 0.00743635 0.009547517 0.009736577 0.0086652385 0.010051676 0.010209226 0.009484497 0.011469624 0.009326947 0.009516007 0.008602219 0.0069006807 0.0067431307 0.008885808 0.008098059 0.00781447 0.0077514495 0.010618855 0.008098059 0.00734182 0.009484497 0.010146206 0.00781447 0.0092954375 0.009358457 0.009011848 0.00708974 0.00787749 0.00708974 0.009705067 0.00737333 0.00746786 0.010240736 0.009547517 0.018338796 0.009043357 0.015786488 0.01462062 0.033400554 0.009389968 0.011154525 0.023695488 0.026373833 0.007972019 0.00765692 0.016259138 0.017361986 0.020260902 0.026625914 0.014463071 0.012320394 0.02334888 0.026184775 0.024609277 0.012099824 0.008192589 0.008633728 0.009421477 0.010272246 0.009074868 0.008192589 0.008917318 0.00708974 0.008255608 0.00721578 6.439899 0.0 2.0 0.0 19.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.10813629 0.012511207 0.006978019 0.007524334 0.016213339 0.0034499872 0.004708712 0.002765593 0.018412605 0.002215276 0.0017410028 0.0019751377 0.009209304 0.0028236264 0.0012167008 0.010562084 0.008186716 0.0018570697 0.0010245901 0.0008144691 0.0046766936 0.0022653048 0.0011206454 0.00093253714 0.004418545 0.0006984023 0.00064837345 0.0010526063 0.0028176229 0.0005843366 0.0009885695 0.00077244494 0.0028236264 0.0006043481 0.0008324795 0.0013047515 0.011642707 0.00049828703 0.000406234 0.00043625128 0.0017850281 0.0007084081 0.0003602075 0.0031558177 0.001638944 0.000576332 0.00037421554 0.0003642098 0.0016929752 0.00050629163 0.00076444034 0.007052062 0.0013407723 0.0004442559 0.00045025934 0.00039822937 0.0018550685 0.0013707896 0.0005162974 0.005415119 0.0016229348 0.00076644146 0.00051229505 0.00060234696 0.0031878361 0.0020171618 0.0023553567 0.0015829117 0.00498287 0.019715356 0.004012311 0.0021472368 0.003249872 0.0010806224 0.0016549532 0.0031037878 0.007446289 0.017684186 0.0048547965 0.0017390017 0.012783363 0.0074763065 0.004650679 0.0031838338 0.0025254546 0.01104236 0.0053310706 0.004224433 0.0016029233 0.0015689037 0.00050429045 0.0028416368 0.0016069256 0.007418273 0.004740731 0.0034319768 0.0011026352 0.00037021324 0.0003421971 0.00034820056 0.0042884704 0.0005483158 0.0022472944 0.00062636076 0.0054751537 0.0007364242 0.0053510824 0.0003642098 0.0012907435 0.00031418097 0.00039022477 0.00043625128 0.0013147573 0.0005603227 0.00094854634 0.0013968046 0.0103199445 0.008270764 0.00091452675 0.0012066951 0.0019631307 0.0009885695 0.0004142386 0.0005643251 0.0021332288 0.0033239145 0.0015709049 0.00087250257 0.0034319768 0.0020251665 0.00076243916 0.017972352 0.004038326 0.01137255 0.0012207031 0.00061035156 0.0036861233 0.023877753 0.0021452357 0.07029449 0.0016169314 0.018690767 0.0008885118 0.0005403112 0.0013467758 0.00050829275 0.00035420404 0.00032418672 0.0011186444 0.0016849706 0.00049628585 0.00030617637 0.0009605533 0.000576332 0.00024614178 0.00038021902 0.0011446594 0.00065637805 0.0004482582 0.00029016714 0.00079645874 0.0026675365 0.00025014408 0.0012327101 0.0014928599 0.0003642098 0.0003341925 0.0002961706 0.0009765625 0.00030217404 0.00046426742 0.00032418672 0.0009465452 0.00030617637 0.000288166 0.0007904553 0.0013447746 0.00032818902 0.000288166 0.00044625704 0.0010546074 0.0005703285 0.0037401544 0.0011426582 0.0038902408 0.0011566662 0.00063036307 0.00048828125 0.0012006916 0.0006763896 0.0009465452 0.0008745037 0.008773053 0.005281042 0.0046486775 0.005204998 0.008632973 0.0013307665 0.005377097 0.008588947 0.0032718845 0.0025734822 0.0011106398 0.0011066374 0.039200578 0.0010586098 0.0026915504 0.0013047515 0.003696129 0.0014648438 0.0029937243 0.0009785637 0.0019371158 0.00031017867 0.0005663262 0.00080446334 0.0018330559 0.0007944576 0.00046826972 0.0012347111 0.0012447169 0.00032818902 0.0005543193 0.00051229505 0.0018930904 0.0006803919 0.0007564357 0.00040823515 0.0017410028 0.0043064808 0.00039022477 0.00032418672 0.026036996 0.0025274558 0.0006663838 0.0051949923 0.008644979 0.00030217404 0.0005383101 0.0007224161 0.0050809267 0.0011606686 0.000550317 0.0008745037 0.0043184874 0.0003722144 0.0020791977 0.0014788518 0.007116099 0.0020912045 0.002019163 0.0021192206 0.012751345 0.003343926 0.00595543 0.056182362 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010407309 0.000105276245 9.123941e-05 7.619995e-05 0.00017044725 0.00018949724 0.00012232097 0.000114299924 0.00062965223 0.00015941831 3.9102604e-05 9.123941e-05 0.00019551303 7.820521e-05 9.4247305e-05 0.0009093862 0.025522972 0.0032725872 0.0015139726 0.0014999359 0.009879925 0.008584525 0.0022067907 0.0028374454 0.02105525 0.0011630518 0.0011079072 0.0018709092 0.011849092 0.0014568227 0.0077272765 0.017548045 0.1468343 0.020915883 0.015324211 0.016745942 0.055040427 0.05042732 0.015923783 0.025726506 0.111184746 0.0074986764 0.007695192 0.013228713 0.06866217 0.013287867 0.03796562 0.073210105 0.036590014 0.008564473 0.010598811 0.0070154085 0.015761359 0.015779406 0.0059476066 0.008126323 0.03049502 0.002010275 0.0029848323 0.0036094713 0.019555314 0.0048727863 0.009323465 0.015890697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 597.0 6.0134006 3590.0 0.019777158 0.0016713092 0.004178273 0.0036211698 0.108077995 0.0013927576 0.0013927576 0.0013927576 0.009749304 0.0050139274 0.0008356546 0.013370474 0.008913649 0.0005571031 0.0036211698 0.0011142062 0.008913649 0.0019498607 0.0036211698 0.04011142 0.006685237 0.0008356546 0.0013927576 0.0016713092 0.012813371 0.01810585 0.0008356546 0.026462395 0.014484679 0.0038997214 0.0008356546 0.00027855154 0.011420613 0.010027855 0.008077994 0.0069637885 0.04791086 0.0036211698 0.017270194 0.004735376 0.017548747 0.0038997214 0.0016713092 0.0030640669 0.03064067 0.0022284123 0.011420613 0.0038997214 0.035097495 0.022841226 0.0150417825 0.024791086 0.031476323 0.0072423397 0.026183844 0.025905292 0.0072423397 0.005292479 0.0033426185 0.009470752 0.011977715 0.0069637885 0.0150417825 0.013927577 0.004178273 0.0022284123 0.0011142062 0.0016713092 0.011977715 0.0027855153 0.0050139274 0.0030640669 0.022562673 0.0016713092 0.0069637885 0.00027855154 0.013649025 0.0011142062 0.0016713092 0.0019498607 0.005292479 0.0011142062 0.0055710305 0.008635097 0.050417826 0.03064067 0.0019498607 0.0036211698 0.005292479 0.0011142062 0.0011142062 0.0011142062 0.017270194 0.0013927576 0.0044568246 0.005292479 5.6801014 0.0 0.0 0.0 1.0 499712.0 4108288.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1517540500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 724992.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 185856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -724992.0 0.0 3093504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4904847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58066.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 185768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -724972.0 0.0 3093024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 914672.0 340.0 907628.0 3093024.0 950272.0 0.0 0.0 6104.0 4079104.0 36100.0 4046848.0 28.0 737520.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 855848.0 0.0 0.0 1272.0 729088.0 0.0 0.0 0.0 0.0