Input: 0.14455608 0.014412585 0.010978955 0.0088628875 0.008991862 0.0060425187 0.0073322635 0.004518533 0.008616319 0.0035192969 0.0060649626 0.003253445 0.0047088335 0.0029803226 0.0028636765 0.013381105 0.009017151 0.003786097 0.0038145473 0.0032524967 0.0035322576 0.0036912628 0.0029142548 0.0025412403 0.0037725042 0.0022918263 0.0022093207 0.0024097369 0.0028990812 0.002238087 0.0025911862 0.0022621115 0.007718871 0.0020266066 0.0021435688 0.002310161 0.0073297345 0.0024957198 0.001905535 0.0018789815 0.0042526815 0.0019760286 0.0030697829 0.0035430053 0.0024979326 0.0024372388 0.00234114 0.0018378866 0.0038306692 0.0023727515 0.002537763 0.0044059968 0.0026284878 0.00240215 0.0021887731 0.0026344939 0.0027603072 0.0031181483 0.0021407239 0.0040253955 0.0027173157 0.0024486189 0.0023620035 0.0027188964 0.004099682 0.0072380616 0.0026717952 0.0035578627 0.0063115316 0.00657359 0.0033062361 0.0024758046 0.009750536 0.0041009467 0.0020351417 0.002152736 0.004440769 0.0041553183 0.0025497754 0.0023512556 0.004481232 0.002443245 0.0026894978 0.0041840845 0.0036852567 0.003461448 0.0033542854 0.0031279477 0.0026449256 0.0029689425 0.0018935227 0.0022181717 0.002640184 0.0030141468 0.0024748563 0.003564185 0.00276252 0.0054823644 0.0025172157 0.0045548864 0.0040898826 0.0095321005 0.008221176 0.0028949718 0.003627724 0.0061250245 0.0029411244 0.0023171154 0.005186798 0.0031273155 0.005697006 0.008166805 0.004037724 0.0018894132 0.0062347157 0.0056404215 0.010546194 0.007036697 0.002490662 0.0022143784 0.0025655811 0.0029031907 0.0019131218 0.0026996133 0.0025304924 0.0033372152 0.0025194283 0.0030451259 0.005009142 0.0031693587 0.0020594825 0.007541531 0.0031918029 0.0053350553 0.0023401917 0.0018154426 0.0030517643 0.00758389 0.0021600067 0.01676637 0.0023863444 0.0059578 0.0019523199 0.0018353577 0.0021148024 0.0017594903 0.0016352576 0.0017051188 0.0020737078 0.0017658126 0.0019491587 0.0016463216 0.0020383028 0.0017538003 0.0016535922 0.0017174472 0.0019374625 0.0016377865 0.0016564372 0.0017345174 0.0020945712 0.0018467378 0.0017275629 0.0017579098 0.002007956 0.0017389429 0.0016485343 0.0015973239 0.0019507393 0.0016339931 0.0017323046 0.0016425282 0.0018236615 0.0015812021 0.0016377865 0.0018821426 0.0019962597 0.0019456815 0.0017519037 0.0016494828 0.0018707624 0.0019191279 0.0032774697 0.002152104 0.0023683258 0.002027239 0.0019535844 0.0017939468 0.00195801 0.0018631758 0.0019020578 0.0018710786 0.005755171 0.0051121954 0.002839652 0.0038145473 0.003003399 0.0020816105 0.0027255346 0.0030302685 0.003472512 0.003034062 0.0021141702 0.0021018418 0.0036368913 0.0019295597 0.0020664372 0.0020550569 0.00282353 0.0025633683 0.0024890814 0.0023420884 0.0020117494 0.0017449491 0.0019807701 0.001960855 0.0027786419 0.0021685418 0.0018208165 0.0023591586 0.002172019 0.002030084 0.0019172312 0.0019052189 0.003223098 0.002110693 0.0018865681 0.0018157586 0.0021824508 0.0019637 0.0018530601 0.0017338851 0.0065527265 0.0026227976 0.0019061673 0.003797477 0.00326767 0.0016880486 0.0017462135 0.0020420963 0.0033707232 0.001966861 0.0022121656 0.002354733 0.0023702225 0.0020155427 0.0026917104 0.0022874007 0.0038313014 0.0024524122 0.0022425125 0.0022453575 0.0032613478 0.0022643243 0.0032758892 0.020555943 0.018093603 2.5299546e-06 2.846199e-06 9.48733e-07 4.743665e-07 3.0833824e-05 2.5299546e-06 7.9061084e-07 0.0 0.0 1.5812216e-07 0.0 0.0 0.0 0.0 0.00097150257 0.0015189216 4.743665e-07 2.055588e-06 1.5812216e-07 5.2180317e-06 5.2180317e-06 1.834217e-05 7.906108e-06 1.5812216e-07 3.1624432e-07 0.0 3.1624432e-07 1.5812216e-07 0.0 4.743665e-07 5.9453934e-05 0.0017717589 1.027794e-05 1.2333529e-05 2.9568846e-05 1.6286584e-05 8.380475e-06 1.47053615e-05 8.696719e-06 7.747986e-06 6.7992532e-06 5.2180317e-06 6.1667647e-06 5.2180317e-06 4.5855427e-06 4.743665e-06 3.0517578e-05 0.0011098594 1.7393439e-05 1.28078955e-05 3.20988e-05 1.1068551e-05 3.4786876e-06 3.447063e-05 1.7867806e-05 1.1068551e-05 2.5299546e-06 9.48733e-07 1.6444705e-05 3.6368099e-06 3.953054e-06 1.4230995e-06 1.6286584e-05 0.002661038 3.2415042e-05 3.2415042e-05 2.7513257e-05 9.044588e-05 3.652622e-05 0.000104834995 5.834708e-05 3.8265563e-05 5.2180317e-06 8.222352e-06 8.222352e-06 1.2491651e-05 8.854841e-06 2.2769593e-05 9.076212e-05 0.00456641 0.00011448045 0.0001227028 0.00011337359 0.0006555745 0.0005820477 0.00020745628 0.00011954036 9.092024e-05 1.29660175e-05 4.8701626e-05 3.9688664e-05 2.8620112e-05 2.4667059e-05 3.731683e-05 0.0006837202 0.010236671 0.0007953545 0.00047990077 0.00041269886 0.00036700154 0.00040842957 0.0013579532 0.0007199302 0.00016871635 7.8428595e-05 8.095855e-05 0.00015938714 0.00012950205 8.2697894e-05 9.329208e-05 0.00029695343 0.015384496 0.0013870477 0.0014665831 0.00081559416 0.0032895736 0.002731086 0.017277377 0.008485942 0.00037395893 7.479179e-05 0.00016349832 0.00020018267 0.00011084364 8.174916e-05 0.000102463164 0.00019211843 0.026373513 0.002355704 0.0033242023 0.0010919917 0.0019126458 0.0015462766 0.009228959 0.00570568 0.0009482586 0.00029410722 0.0004884394 0.00031086817 0.00039973285 0.00045191316 0.0003930917 0.0008740993 0.032364603 0.004813555 0.0042346697 0.0025500362 0.0020938537 0.0021248457 0.0055701695 0.004666185 0.0016387781 0.0006464034 0.0007072805 0.000487965 0.00063280493 0.00080088875 0.00051816634 0.0012404684 0.016286425 0.0024659152 0.0015435886 0.0014637369 0.001285217 0.0010766538 0.0026526575 0.0017259035 0.0011214024 0.00052259373 0.00063881354 0.00056560297 0.00063391175 0.00058821443 0.00060608226 0.0011497063 0.016582904 0.0029646326 0.0018617304 0.0042133234 0.0015684138 0.0014714849 0.002248181 0.0016636034 0.0019357316 0.001164886 0.00087694556 0.0010385464 0.0010951541 0.00097308384 0.0009846267 0.0014551983 0.012186318 0.0022812285 0.0018920898 0.0018557217 0.0029829748 0.001268456 0.0037383242 0.0015329944 0.0029875601 0.00077005493 0.0006810322 0.0010062895 0.0021713336 0.0013287006 0.0013003967 0.0024958004 0.04999143 0.009078268 0.009685141 0.00711866 0.025149489 0.009592639 0.009109102 0.009545993 0.028838005 0.002486155 0.0019178637 0.0051239487 0.015503088 0.0060699936 0.009702218 0.01805692 0.020139704 0.005487946 0.003635703 0.0041532367 0.00687025 0.0066506183 0.004111651 0.0059183547 0.012664795 0.0012007797 0.0013607994 0.0020418316 0.0066781314 0.0033634165 0.005331247 0.010456302 0.021688985 0.021423498 0.021459866 0.021422707 0.021474255 0.021316607 0.021582885 0.02143852 0.021346651 0.02151347 0.021327835 0.021301903 0.021381121 0.021289568 0.021304116 0.021344595 19052.0 13.463469 256506.0 0.033433914 0.0020272431 0.0021714892 0.0021013154 0.007956929 0.0028381404 0.0018089246 0.0026899956 0.0028381404 0.0020662285 0.0019297794 0.002214373 0.0028888213 0.0027874592 0.007196713 0.0023040397 0.008401363 0.005555426 0.004670456 0.0052942233 0.004506717 0.004081776 0.0038205734 0.0035944579 0.004300094 0.0050291223 0.003840066 0.004194834 0.006576844 0.0034969943 0.006237671 0.00409737 0.0033215596 0.017921608 0.0055047446 0.012681965 0.011336966 0.009438376 0.008643073 0.00594528 0.007169423 0.009683984 0.001855707 0.0026354159 0.0068068583 0.0066938004 0.006136309 0.006183091 0.009543637 0.0024015033 0.010007563 0.015071772 0.016849509 0.006923815 0.0057542515 0.007469611 0.0032474874 0.0025028654 0.0021519964 0.0021519964 0.0038634574 0.003567168 0.0032825742 0.01665848 0.0032786757 0.038314894 0.008717145 0.025344437 0.022108644 0.081709586 0.013321326 0.01336421 0.0098672155 0.039605312 0.0030096762 0.0064053084 0.030377457 0.0154694235 0.0374923 0.042193945 0.0147949755 0.0023079382 0.041921046 0.032720484 0.05875886 0.017742274 0.0064793807 0.005563223 0.0064520906 0.011009489 0.003259183 0.0018128231 0.002557445 0.0019258809 0.0017816348 0.009976375 5.8288765 3.0 22.0 0.0 42.0 3163416.0 3133440.0 1.0 0.0 75.0 1.0 1.0 1.0 0.0 0.0 1529514600.0 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 11.0 0.0 5.0 1.0 5.0 1.0 32768.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 3047424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9870667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.703347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3853495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.581308 0.0 7.2461944 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21002.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32422.0 0.0 3047036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 56156.0 3047036.0 73728.0 0.0 0.0 46360.0 3117056.0 3448.0 3121152.0 56.0 37248.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 54536.0 0.0 0.0 312.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.08837307 0.0071588648 0.004738857 0.003719497 0.005594808 0.0027079184 0.0027546065 0.0021554406 0.0031436754 0.0030814244 0.002614542 0.0020698456 0.0020075946 0.0024355701 0.0023188496 0.005042331 0.003384898 0.0027079184 0.0028557645 0.00266123 0.0020465015 0.0018441858 0.0018364044 0.002303287 0.002202129 0.001766372 0.0019375623 0.003073643 0.0018986554 0.0020620641 0.001953125 0.0020465015 0.004093003 0.0025056025 0.0024433516 0.0021476594 0.002163222 0.0025056025 0.0022176916 0.0020309386 0.002163222 0.0018130603 0.0016963397 0.002847983 0.001828623 0.0019064368 0.0031281125 0.0025911976 0.0029180155 0.0020075946 0.0018753113 0.0020931896 0.0020698456 0.0023344124 0.0019453437 0.0020309386 0.0020620641 0.0014473357 0.0020309386 0.0025289466 0.0018675299 0.0020620641 0.0021320966 0.002388882 0.0034238049 0.003011392 0.002287724 0.0024822585 0.002054283 0.0016885583 0.00249004 0.002163222 0.0018519672 0.002163222 0.0015018053 0.0016107445 0.0021243151 0.002575635 0.0021320966 0.002100971 0.0021865661 0.002054283 0.0019453437 0.002575635 0.0021243151 0.001766372 0.001992032 0.001890874 0.001618526 0.0014395543 0.001828623 0.001680777 0.0016029632 0.001579619 0.0016574328 0.00203872 0.002513384 0.0032681774 0.002560072 0.0031670195 0.0024589144 0.005026768 0.0019842505 0.003096987 0.0024200075 0.004762201 0.0020931896 0.0027079184 0.0028946714 0.00396072 0.003882906 0.005073456 0.003618339 0.0030191734 0.00515127 0.00452876 0.006427415 0.0034393675 0.0043108813 0.002933578 0.003984064 0.003174801 0.004108566 0.0037973109 0.004482072 0.003633902 0.004170817 0.004948954 0.006030565 0.0049567358 0.002871327 0.005781561 0.003719497 0.004513197 0.004707732 0.005439181 0.00549365 0.005742654 0.005820468 0.0049567358 0.005408055 0.003384898 0.0040618773 0.004116347 0.0036027764 0.004194161 0.0024666956 0.004147473 0.003984064 0.0036728089 0.0034004606 0.0038362176 0.004466509 0.005921626 0.0026067605 0.0034393675 0.002163222 0.0024589144 0.0024822585 0.0028168575 0.002598979 0.0026456674 0.002824639 0.002552291 0.002326631 0.003345991 0.003307084 0.0023577565 0.002700137 0.002684574 0.002871327 0.002241036 0.002451133 0.0022488171 0.002451133 0.0034160234 0.002785732 0.0023110681 0.0019686876 0.002178785 0.002427789 0.002349975 0.0018130603 0.0021087525 0.0024044446 0.002163222 0.002474477 0.0021243151 0.002847983 0.0023344124 0.0026301045 0.002801295 0.003952938 0.0018519672 0.001953125 0.002225473 0.00249004 0.0022799426 0.0020465015 0.002427789 0.003221489 0.0021087525 0.003843999 0.0021243151 0.0025445095 0.004349788 0.0021865661 0.0028946714 0.004334226 0.003011392 0.0033382096 0.0025211654 0.004785545 0.0029647036 0.0024355701 0.00288689 0.002723481 0.0028168575 0.0024433516 0.0024355701 0.003120331 0.002139878 0.003198145 0.002871327 0.0033148655 0.002474477 0.0024200075 0.0027546065 0.0033382096 0.003011392 0.002614542 0.002497821 0.0030036105 0.002497821 0.002676793 0.002575635 0.002637886 0.002622323 0.0024200075 0.003135894 0.0037973109 0.003050299 0.0027935135 0.003159238 0.0038906874 0.0034004606 0.0036261205 0.007400087 0.005859375 0.006069472 0.005415837 0.007104395 0.020060383 0.033195343 0.008847423 0.10277639 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00046859248 0.0 0.00014963458 7.875504e-06 0.0007875504 0.000444966 0.003795993 0.0024099043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023744644 4.7253023e-05 0.00013782132 3.5439767e-05 0.00053159654 0.0002795804 0.0027958038 0.0017877395 1.5751008e-05 1.1813256e-05 1.968876e-05 3.937752e-06 7.875504e-06 3.937752e-06 1.1813256e-05 0.0 0.025303995 0.00097262475 0.0032013925 0.00094506046 0.001779864 0.0010513798 0.0112540955 0.024414062 0.02939532 0.014455488 0.006064138 0.0052962764 0.0058672507 0.007087954 0.008363785 0.120676346 0.022949219 0.0012364541 0.0015554121 0.0009608115 0.0005512853 0.00036621094 0.0007717994 0.0033470893 0.010249969 0.009241904 0.0039653163 0.002681609 0.005682176 0.006682365 0.003382529 0.047343593 0.014947707 0.0010750063 0.001303396 0.0006221648 0.0009332472 0.0004095262 0.0022642075 0.0021657636 0.003429782 0.0026619204 0.0012640184 0.0010671308 0.001460906 0.0017483619 0.00097262475 0.012061334 0.008009387 0.0007284841 0.0011537613 0.0005434098 0.0006969821 0.0002717049 0.001287645 0.0011616369 0.0022051411 0.0023705268 0.000984438 0.00046465473 0.0012403919 0.0012207031 0.0011025706 0.008816627 0.0055679814 0.0010631931 0.00095687376 0.00063397805 0.00065366685 0.0005788495 0.0005000945 0.0005591608 0.0007324219 0.0004843435 0.0005985383 0.0005512853 0.00094899826 0.0007521106 0.00061822706 0.00092930946 0.005713678 0.0012679561 0.0013309602 0.0011931389 0.0012364541 0.0010080645 0.0020397555 0.0014687815 0.0012285786 0.001126197 0.0009765625 0.00079936365 0.0008623677 0.0009805002 0.00091355847 0.002047631 0.047922444 0.030399445 0.027997417 0.029009419 0.028718026 0.025886782 0.026875157 0.028607769 0.03056877 0.025859218 0.029552829 0.027288621 0.026930286 0.0300923 0.029131489 0.030966481 445.0 12.698876 5651.0 0.014510706 0.0030083172 0.0060166344 0.0023004778 0.002123518 0.0014156786 0.004070076 0.0017695983 0.002123518 0.0028313573 0.0015926384 0.0014156786 0.005485755 0.004247036 0.026720934 0.0035391967 0.012918067 0.005131835 0.0030083172 0.0063705537 0.0049548754 0.0046009556 0.0028313573 0.0031852769 0.004247036 0.0023004778 0.0030083172 0.0033622368 0.0038931163 0.0056627146 0.004423996 0.0028313573 0.004070076 0.012033269 0.01026367 0.016811185 0.010086711 0.004070076 0.0046009556 0.008671031 0.0015926384 0.009024952 0.0017695983 0.0024774377 0.007255353 0.0058396743 0.0033622368 0.004247036 0.008671031 0.0035391967 0.006901433 0.018934703 0.0077862325 0.004070076 0.0037161564 0.0028313573 0.0015926384 0.002123518 0.00088479917 0.0012387189 0.0035391967 0.0019465581 0.0017695983 0.005131835 0.0047779153 0.03893116 0.01999646 0.025482215 0.019819502 0.0810476 0.009909751 0.01999646 0.006193594 0.03999292 0.0024774377 0.0033622368 0.028136613 0.027251814 0.038046364 0.046363477 0.016457263 0.0019465581 0.05414971 0.0422934 0.06246682 0.028136613 0.008847992 0.0058396743 0.0046009556 0.013448947 0.004070076 0.00088479917 0.0028313573 0.0015926384 0.00088479917 0.0030083172 5.681863 0.0 0.0 0.0 1.0 128512.0 155648.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1526027900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 84480.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 43008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.177168 0.0 7.275642 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84244.0 0.0 42744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 92352.0 42744.0 98304.0 0.0 0.0 0.0 0.0 12.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.21687357 0.013193434 0.006869416 0.0065252963 0.008538074 0.0041554123 0.0056227925 0.0032269375 0.009180864 0.0032918658 0.0033243299 0.0026036256 0.0056163 0.0032788801 0.002350405 0.008005662 0.0060837837 0.0017465717 0.0017465717 0.0024542904 0.0038697277 0.0031749948 0.0018634427 0.0016881363 0.0031620092 0.0014738728 0.001545294 0.0021815915 0.0024477977 0.0018699355 0.0016816434 0.0027204966 0.0071680862 0.002428319 0.0022530127 0.0033503012 0.0049670166 0.0024023477 0.0020971848 0.0029477456 0.0034801578 0.0018959069 0.0020647205 0.0028763246 0.0017530646 0.0054409932 0.0026360897 0.0026101184 0.007538178 0.0048501454 0.0034282152 0.0064798463 0.0033373155 0.0020582278 0.0019348639 0.0017855287 0.0021880844 0.002356898 0.002434812 0.0053500934 0.0023828694 0.003012674 0.0020777062 0.003700914 0.0037593497 0.013407698 0.0018634427 0.0019997922 0.0023049554 0.007499221 0.0030191669 0.0018374714 0.0027204966 0.0019348639 0.0015388011 0.0013310305 0.002045242 0.003863235 0.0017855287 0.0019868065 0.005447486 0.0026490754 0.0014868585 0.0033048515 0.0021686058 0.004681332 0.0036100144 0.0028893102 0.0020517348 0.003928163 0.0013180448 0.0018634427 0.0013829732 0.0040255557 0.002973717 0.0027204966 0.00220107 0.0046164035 0.0018115 0.0033113442 0.0027269893 0.005674735 0.0051747872 0.0020062851 0.0033308228 0.0035840431 0.0040385416 0.0013959588 0.0029477456 0.002856846 0.0038112924 0.0041489196 0.0042268336 0.0016946291 0.00479171 0.004778724 0.011414398 0.009291243 0.0021686058 0.0022270414 0.0017790359 0.0023374194 0.0016816434 0.0010583316 0.0016232079 0.002428319 0.001850457 0.002317941 0.0036035217 0.002467276 0.002317941 0.010972886 0.0027594536 0.0071745794 0.0018309786 0.0010778101 0.0021491274 0.0070836795 0.001545294 0.020419957 0.001311552 0.0059798984 0.0010258674 0.00094795343 0.0020712134 0.0012011739 0.0009414606 0.0009025036 0.0014868585 0.0014868585 0.00097392476 0.0009609391 0.0010583316 0.0008375753 0.00074667565 0.0012271452 0.001233638 0.0012271452 0.0007012258 0.0008180968 0.0018244857 0.0015712653 0.00082458963 0.001233638 0.0016361936 0.0009869104 0.00087003945 0.0008375753 0.0017790359 0.0011167671 0.0009869104 0.0009998961 0.0011881882 0.0006492832 0.001155724 0.0010713172 0.0020257635 0.0010713172 0.00074667565 0.00087003945 0.0014219302 0.001350509 0.0011687097 0.0017920216 0.0019088925 0.0010972886 0.0012985663 0.0010453459 0.0011492312 0.0013634947 0.0012985663 0.001311552 0.006921359 0.0035580718 0.0023763764 0.0051877727 0.0026425826 0.0012790879 0.0027529607 0.0031555162 0.0027594536 0.002778932 0.0013245377 0.0009219821 0.003551579 0.0010907957 0.0020062851 0.0017660502 0.0019738209 0.0022270414 0.0019218782 0.0015972366 0.0014024517 0.00083108246 0.0012206524 0.0012401309 0.002662061 0.0020777062 0.0012855807 0.0018829212 0.0016751506 0.0024802617 0.0010128818 0.001311552 0.0031944732 0.0014154373 0.0012011739 0.0010258674 0.0023633908 0.0020517348 0.0013634947 0.00094795343 0.009979483 0.0022530127 0.0013375233 0.004622896 0.004168398 0.0010323602 0.0012466237 0.0014349158 0.004622896 0.0013375233 0.001928371 0.001545294 0.0022919697 0.001428423 0.0032918658 0.0027269893 0.005804592 0.0020777062 0.0016556721 0.0018309786 0.0049994807 0.0018309786 0.0043437043 0.06121442 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010788066 0.00038013843 0.0003834155 2.2939388e-05 0.00038669253 0.00017368393 0.00041618603 0.00028838086 0.00012125105 1.6385276e-05 9.831166e-05 6.226405e-05 2.2939388e-05 6.226405e-05 6.226405e-05 0.00013763632 0.014514078 0.00064230285 0.00079632446 0.00028510383 0.00041290896 0.0001474675 0.00072422926 0.0005767617 0.0003735843 4.915583e-05 0.00012780516 0.00011141988 0.00017368393 9.175755e-05 0.0001245281 0.0009831166 0.020045748 0.00063574873 0.002189073 0.0012714975 0.0014451814 0.00042929425 0.002005558 0.0012911598 6.226405e-05 0.00011797399 0.00013108221 8.84805e-05 0.00020973154 0.0001474675 0.00025888736 0.0032278995 0.02254614 0.00054726825 0.0018843068 0.0009929477 0.002484008 0.00075372274 0.0036375315 0.0024184668 0.00025561033 0.00018679215 0.00028182677 0.00017040689 0.00026216442 0.0002785497 0.0002490562 0.0033196572 0.04606557 0.002723233 0.0082745645 0.0029952286 0.0053547085 0.0014320732 0.00652134 0.0046403105 0.001002779 0.00083564915 0.0005800388 0.0008225409 0.00112403 0.0011109217 0.0010748742 0.009401872 0.04452535 0.0038177695 0.007520842 0.0032311766 0.004066826 0.0025200555 0.0071407035 0.004030778 0.0010879824 0.0010715971 0.0011043677 0.0013140992 0.001248558 0.0021464713 0.0016352506 0.014209312 0.019541081 0.0022152895 0.0033425966 0.010237521 0.0022218435 0.0013665321 0.0021956272 0.0017499476 0.0019138004 0.001061766 0.0013009909 0.0011600776 0.001776164 0.0018220427 0.0019105233 0.0065868814 0.011509018 0.0014943372 0.0016811294 0.0049516307 0.0010584889 0.0014517355 0.0025561033 0.0023365405 0.004968016 0.0013009909 0.0010158871 0.0012878828 0.0017958264 0.00087825087 0.0011404153 0.007553613 0.047166657 0.0069047557 0.0054005873 0.008451526 0.011407429 0.012184092 0.006269007 0.012711698 0.02758953 0.0020842073 0.002372588 0.0039193584 0.013976641 0.004558384 0.011486079 0.024859741 0.052629508 0.012492135 0.010715971 0.014812291 0.016473757 0.018338403 0.014527187 0.017971372 0.028051594 0.0037030727 0.0045911544 0.0045944317 0.016260749 0.0083794305 0.0139340395 0.024269871 0.012846057 0.007822331 0.008058279 0.0076486473 0.0076486473 0.0077993916 0.00733405 0.007625708 0.0074684094 0.00733405 0.0070063444 0.007284894 0.007409422 0.007393037 0.007805946 0.009031565 794.0 13.298489 10559.0 0.03778767 0.0025570602 0.004072355 0.007860593 0.010607065 0.0052088266 0.0038829434 0.012027654 0.00909177 0.004072355 0.0057770624 0.0057770624 0.0053982385 0.012690595 0.018846482 0.015626479 0.031063547 0.023865897 0.019130599 0.012406478 0.012785302 0.00814471 0.0053035324 0.004924709 0.0057770624 0.0059664743 0.011838242 0.010891183 0.011175301 0.009375888 0.008997064 0.0059664743 0.0035041198 0.009754712 0.00303059 0.011175301 0.0036935315 0.004356473 0.0055876505 0.006440004 0.0054929443 0.0053035324 0.0019888247 0.0020835306 0.004640591 0.003314708 0.004451179 0.007576475 0.011364712 0.0019888247 0.0036935315 0.0141111845 0.008902358 0.0023676485 0.004451179 0.004924709 0.006440004 0.0023676485 0.004545885 0.0021782366 0.0034094139 0.002841178 0.0022729426 0.004640591 0.0065347096 0.033715315 0.008807653 0.028506488 0.016478833 0.04375414 0.006629416 0.011932949 0.010796477 0.027464721 0.0059664743 0.0037882375 0.022445308 0.019320011 0.02774884 0.031347666 0.015626479 0.0019888247 0.03560943 0.02774884 0.046500616 0.012217066 0.008428829 0.0071029454 0.0057770624 0.011459419 0.0020835306 0.0012311772 0.0018941187 0.00066294154 0.0025570602 0.0020835306 6.062956 0.0 32.0 0.0 4.0 154016.0 159744.0 1.0 0.0 64.0 1.0 1.0 1.0 0.0 0.0 1543891700.0 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 14.0 0.0 6.0 0.0 6.0 0.0 61440.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 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 26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 0.0 46080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5636077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.27327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0072482 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.947696 0.0 6.126807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25714.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61383.0 0.0 45984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 89724.0 45984.0 106496.0 0.0 0.0 12704.0 141312.0 3680.0 155648.0 112.0 87824.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 87936.0 0.0 0.0 264.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.21437658 0.025835646 0.020847792 0.012028684 0.016626185 0.007358894 0.017970737 0.006303493 0.005262549 0.005710733 0.013431067 0.0042071478 0.002905968 0.0042794356 0.005262549 0.0047276197 0.004395096 0.0059854267 0.011002198 0.0066360165 0.0037734213 0.0064480687 0.0036722184 0.002905968 0.0041204025 0.001908397 0.0017638215 0.0022842933 0.002934883 0.003816794 0.0041204025 0.0022842933 0.008457668 0.0023854962 0.0021397178 0.002038515 0.0023999538 0.0028770529 0.0026168171 0.0016192459 0.008573329 0.002038515 0.0065058987 0.004944483 0.003267407 0.0033252372 0.0058986815 0.0028915105 0.01435635 0.0072432337 0.004395096 0.0025300717 0.0027613926 0.0024722414 0.0018505667 0.0024433264 0.0022120057 0.00271802 0.0014312977 0.0008674532 0.0020529726 0.0016047884 0.001966227 0.001228892 0.0012144344 0.0041926904 0.0022409207 0.0047276197 0.0026457321 0.0033396946 0.0031806615 0.0017638215 0.0022842933 0.0040336573 0.0008096229 0.0008529956 0.0016626186 0.0036577608 0.0021686328 0.0017059912 0.003787879 0.00096865604 0.001648161 0.004944483 0.004655332 0.00407703 0.002905968 0.0025011566 0.0008096229 0.0010843164 0.0010120287 0.0007662503 0.0009397409 0.0012867221 0.00083853805 0.0059854267 0.0013011798 0.015859935 0.0030505436 0.01039498 0.008081772 0.028221143 0.004626417 0.0054504974 0.0033252372 0.016973168 0.0019228545 0.0026891048 0.009440782 0.00832755 0.012100971 0.023941707 0.008501041 0.0011566043 0.018794818 0.012708189 0.023695929 0.006433611 0.002327666 0.0020963452 0.0016770761 0.0052336343 0.0017638215 0.005103516 0.0016192459 0.0034119824 0.0012144344 0.0008240805 0.005204719 0.00490111 0.0030650012 0.0011855193 0.0009831135 0.00096865604 0.0031228315 0.00044818412 0.0008529956 0.00096865604 0.0008240805 0.00062167476 0.0007228776 0.00096865604 0.00070842006 0.00070842006 0.0009541985 0.00092528336 0.0008674532 0.00083853805 0.0008096229 0.0010120287 0.0010264863 0.00092528336 0.0009975712 0.00083853805 0.0009397409 0.0009108258 0.0007228776 0.0007373352 0.0009397409 0.00088191073 0.0015035855 0.0011276891 0.0008240805 0.0009831135 0.00079516537 0.0010698589 0.00053492945 0.00075179274 0.0006072172 0.0009108258 0.00047709924 0.00066504744 0.00089636823 0.00053492945 0.00092528336 0.0008096229 0.0007662503 0.00092528336 0.00066504744 0.0006505899 0.00070842006 0.0007373352 0.000679505 0.00047709924 0.0011421466 0.0011421466 0.000679505 0.00070842006 0.00075179274 0.0007373352 0.0006361323 0.00066504744 0.0008529956 0.0010698589 0.00039035393 0.00089636823 0.0007228776 0.0007373352 0.0010120287 0.00037589637 0.0006939625 0.00066504744 0.0006505899 0.00078070787 0.0006361323 0.0008529956 0.0006505899 0.00066504744 0.0008674532 0.0008240805 0.0007228776 0.0007373352 0.0006361323 0.0007662503 0.0008674532 0.0005638446 0.00049155677 0.0008096229 0.00057830213 0.0015758732 0.0008240805 0.00089636823 0.0014891279 0.0005638446 0.00070842006 0.0013300949 0.0007373352 0.0007228776 0.00070842006 0.0008096229 0.0014602129 0.0006072172 0.000679505 0.0009397409 0.0005204719 0.0006361323 0.0007228776 0.00079516537 0.00049155677 0.0005204719 0.00088191073 0.000549387 0.00075179274 0.0008240805 0.0008096229 0.00066504744 0.00059275964 0.0012578071 0.0007662503 0.0007373352 0.0006939625 0.0026168171 0.0017493638 0.0008240805 0.0014602129 0.001228892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011933298 4.4389206e-05 0.00022934422 0.00036251184 0.00028852982 0.00020714963 0.0013908617 0.00056966144 4.4389206e-05 1.4796402e-05 0.0 1.4796402e-05 0.0 0.0 2.9592804e-05 2.2194603e-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 0.014530066 0.00023674243 0.001953125 0.00056226325 0.010512844 0.009151574 0.06451971 0.034882516 7.398201e-06 0.0 0.0 7.398201e-06 0.0 0.0 0.0 0.0 0.08071437 0.0094401045 0.012347597 0.0035215435 0.005193537 0.005038175 0.025050309 0.018532492 0.0013982599 0.001035748 0.00048088306 0.00056226325 0.00039210464 0.001287287 0.00050307764 0.0011689158 0.106830016 0.017459754 0.015514027 0.0069543086 0.0038026753 0.0035437383 0.01393821 0.013338956 0.003684304 0.0023600261 0.0013760653 0.0017977628 0.0017015862 0.001990116 0.0010579427 0.0016202059 0.07068241 0.016890092 0.009743431 0.011548592 0.006258878 0.005038175 0.01751894 0.009018406 0.0062218867 0.0022194602 0.0016497988 0.001805161 0.0016054095 0.0018199574 0.0022564512 0.002389619 0.037353516 0.008700284 0.0062440815 0.0065326113 0.0029296875 0.0027077415 0.007738518 0.003972834 0.0037286931 0.0013834635 0.001546224 0.0011467211 0.0012059067 0.0011689158 0.0015758168 0.0029740767 0.006628788 0.0017607717 0.0013390743 0.00043649384 0.00048088306 0.00026633524 0.00053267047 0.000258937 0.00035511365 0.00040690103 0.00051047583 0.000517874 0.00032552084 0.00050307764 0.00035511365 0.00047348486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020300662 0.0067397607 0.0068803267 0.011696556 0.0055486504 0.0062218867 0.0141305635 0.0084709395 0.005297112 0.0030332622 0.0033587832 0.0025819722 0.0028483074 0.0026855469 0.0026337595 0.0036325166 0.01834014 0.0069543086 0.0074647847 0.0098913945 0.005578243 0.0058445786 0.012266217 0.008485736 0.00530451 0.0038026753 0.0041503906 0.0034919507 0.00324781 0.0035141453 0.0037508877 0.003972834 862.0 19.690256 16973.0 0.008248394 0.0005302539 0.00017675132 0.00082483946 0.0014729276 0.0002945855 0.00094267365 0.0002945855 0.00041241973 0.00041241973 0.0002945855 0.0012961762 0.0006480881 0.0042420314 0.015554115 0.006245213 0.023920344 0.01667354 0.009662405 0.0050668707 0.0053614564 0.0043598656 0.0032993578 0.0040652803 0.004536617 0.005243622 0.001708596 0.000117834206 0.0049490365 0.00076592236 0.0050668707 0.00017675132 0.00035350263 0.008484063 0.0041831145 0.014434691 0.004536617 0.008366229 0.0054203738 0.0037117775 0.0030636895 0.00995699 0.00047133683 0.0010605078 0.0021799328 0.010310493 0.0035350262 0.0030047724 0.010015908 0.00017675132 0.0041831145 0.0125493435 0.01260826 0.0019442644 0.005125788 0.0047722855 0.00035350263 0.00035350263 0.0014729276 5.8917103e-05 0.00047133683 0.00023566841 0.00017675132 0.02073882 0.0018853473 0.04766394 0.008366229 0.032227654 0.024450598 0.09185176 0.013079597 0.016496789 0.008896483 0.05567666 0.0035939433 0.00630413 0.029517468 0.023743592 0.038590703 0.05985978 0.01873564 0.0005302539 0.055440996 0.039062038 0.08018618 0.017851882 0.0060684616 0.0043009487 0.002769104 0.013315265 0.0037117775 0.0 0.00023566841 0.000117834206 0.000117834206 0.00017675132 5.338325 2.0 20.0 0.0 2.0 69168.0 81920.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 2602194200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 48.0 0.0 4.0 0.0 6.0 0.0 50688.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50688.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9513917 0.0 3.365915 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50320.0 0.0 1084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 58424.0 1084.0 65536.0 0.0 0.0 15920.0 53248.0 12.0 73728.0 56.0 58220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.2696818 0.03598225 0.036335777 0.014543627 0.027598288 0.0073159006 0.023613848 0.008681757 0.0088231675 0.0049169175 0.021694826 0.0047072973 0.004785489 0.0034337735 0.00422068 0.0031567756 0.0041882386 0.007590403 0.0081169475 0.005841075 0.0089429505 0.004546755 0.0053353254 0.00494104 0.0030686022 0.0026460353 0.0024746791 0.0024414062 0.0014282435 0.0020770668 0.0025270842 0.0020404665 0.0050525046 0.00299457 0.003939523 0.001459021 0.0016120768 0.002275873 0.0015297261 0.0007735972 0.012654553 0.0007444833 0.009760634 0.002171895 0.001040613 0.0011229637 0.0017501597 0.0011154773 0.0037748218 0.0013525474 0.0014881348 0.0011504139 0.0009091847 0.00081518845 0.00091500743 0.000732006 0.0030253474 0.0038846226 0.0025977893 0.0010065082 0.0011845187 0.00101649 0.0014690029 0.0015995994 0.0018416605 0.0038995955 0.0018167057 0.0036234295 0.0031376437 0.0028057457 0.002403974 0.0015629991 0.0017526551 0.0032208262 0.0008243385 0.0008667616 0.002042962 0.001653668 0.0016403588 0.0023307735 0.0029346785 0.0010056763 0.002704263 0.0032690722 0.0026210805 0.001606254 0.0022026724 0.0009865444 0.0016029266 0.0013359109 0.0012710285 0.0010231447 0.0008609388 0.00080271106 0.0005124042 0.004917749 0.0009241575 0.012558062 0.0020978625 0.005380244 0.00871503 0.021302205 0.0019930527 0.00416162 0.0028307003 0.011313652 0.0009491123 0.0024131243 0.007804182 0.0050192317 0.011524103 0.02039718 0.0061763003 0.0009100165 0.012531443 0.009881249 0.01510511 0.0044594137 0.002462202 0.0019855662 0.001625386 0.0032699038 0.0010905225 0.013761712 0.001686941 0.0051348554 0.002475511 0.00088422996 0.0030137019 0.0025195978 0.00081186113 0.0012161281 0.0014889666 0.000921662 0.0035369198 0.00080687023 0.0009324758 0.00068791927 0.0005889321 0.0006454962 0.0011969961 0.0018424923 0.0013700157 0.0008534524 0.00071121036 0.001159564 0.0006371779 0.00061055954 0.0007677744 0.00060640037 0.0017227095 0.0004633265 0.0007045557 0.0010530904 0.0010331266 0.0006138868 0.000646328 0.0007661108 0.0007785882 0.0006471598 0.00076028804 0.0009948626 0.0012419147 0.00053236797 0.00082350674 0.0021136673 0.0006454962 0.00058726844 0.0007627835 0.00068043283 0.0006330188 0.0011703777 0.0008692571 0.0006430007 0.0005781184 0.0006762737 0.00066462817 0.0006097277 0.0005731274 0.0004533446 0.0007827473 0.0005897639 0.00048744943 0.00065131893 0.0006771055 0.0004957677 0.00069540564 0.0004916086 0.0006430007 0.00052820885 0.0004367081 0.0006629645 0.0006496553 0.0006812646 0.0004633265 0.0005831093 0.0035652018 0.00049493584 0.0015438672 0.00045833556 0.0022218043 0.0011420957 0.0007669426 0.0004932722 0.00078524277 0.0010114992 0.00046831745 0.0004974313 0.0004965995 0.00082184304 0.00047913118 0.00048162666 0.0005298725 0.0003859668 0.00048744943 0.00053819077 0.0005490045 0.0006072322 0.0008243385 0.00070206024 0.00078524277 0.00077941996 0.00083432044 0.00074781064 0.0007469788 0.0006862556 0.0005315361 0.0006521508 0.0006671236 0.0009233257 0.0011969961 0.00046665382 0.0005190588 0.0008002156 0.00040509875 0.00038180765 0.00081186113 0.00043920358 0.00077941996 0.0005398544 0.00053819077 0.00078357913 0.0005423499 0.0007785882 0.0006837601 0.000565641 0.00046582197 0.00063218694 0.0005714637 0.00048162666 0.0005265452 0.00065880537 0.00048245848 0.00047746752 0.0014265798 0.002928024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007351276 4.5789375e-06 8.741608e-06 6.660273e-06 1.4569347e-05 8.325341e-06 5.036831e-05 1.9564552e-05 8.325341e-07 0.0 1.2488011e-06 8.325341e-07 0.0 0.0 1.2488011e-06 4.1626706e-07 0.0020742586 2.0397085e-05 0.00020355459 4.9952046e-06 1.831575e-05 6.368886e-05 1.16554775e-05 5.1617113e-05 1.3736812e-05 8.325341e-07 1.2488011e-06 6.660273e-06 3.3301365e-06 7.492807e-06 2.9138693e-05 4.662191e-05 0.0100719975 0.00017150202 0.00074719934 7.617687e-05 0.00018232496 0.00014194706 0.0002714061 0.00023144449 0.00010906197 5.4114716e-06 3.4550165e-05 7.034913e-05 6.6602726e-05 0.0002664109 0.00015859774 0.00018274123 0.023732634 0.0007771706 0.0009811415 0.00058027625 0.002043455 0.0013886669 0.0075173667 0.0030674718 0.0004320852 0.00023061194 0.00021396126 0.00039711877 0.0003109515 0.00027348744 0.0003450854 0.00033426244 0.020371692 0.0011572224 0.00087332824 0.0011526435 0.011426531 0.0086258855 0.057052314 0.026066642 0.00027806638 0.00018523884 7.57606e-05 7.034913e-05 7.4928066e-05 8.741608e-05 0.00012279878 0.0002564205 0.12369001 0.010776738 0.013119489 0.0076792943 0.010376289 0.008136355 0.034729578 0.02463968 0.0023344257 0.0017125227 0.0015601689 0.0008225437 0.00089788804 0.0012633705 0.0010856244 0.0027003244 0.17178841 0.028448107 0.02065434 0.009820572 0.0055313567 0.006092901 0.011298737 0.0185243 0.007757969 0.0040794173 0.004587679 0.0028514294 0.0050734626 0.0032947536 0.0033359642 0.004618483 0.07782737 0.015399383 0.0089809615 0.0039770156 0.002756104 0.002645377 0.004802889 0.007343367 0.0057153464 0.0030112758 0.003828408 0.0022341053 0.004909037 0.0028252045 0.0031257493 0.002366062 0.046176504 0.010564442 0.0038192503 0.003045826 0.0025167505 0.0022216171 0.0031690411 0.0031228354 0.005320309 0.0033397106 0.0030653905 0.0026524537 0.004151015 0.001820752 0.0020842492 0.0018215847 0.0015018915 0.00059567817 0.0002664109 0.00027098984 0.00027515253 0.0001831575 0.00018690391 0.00011697104 0.00017108576 8.450221e-05 7.825821e-05 8.408594e-05 9.657395e-05 7.034913e-05 0.00015318628 0.00012737772 0.0009486726 0.00023768848 0.00025059277 0.00019522925 0.00019772685 9.990409e-05 0.0002551717 0.00017899483 0.00018732017 0.00015901402 0.00016192788 0.00014361214 0.00017732977 9.7822754e-05 6.5353925e-05 5.3698448e-05 0.00023435835 0.00010156916 0.00012071744 0.000134038 0.00010406676 6.8684065e-05 0.00010281796 0.00013237292 0.00013070785 0.00012363131 0.000114889706 0.00011572224 7.659314e-05 5.120085e-05 4.8703245e-05 4.495684e-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 11835.0 15.304436 181128.0 0.0018108741 6.0730534e-05 9.9377234e-05 3.3125747e-05 0.000259485 3.3125747e-05 3.8646704e-05 6.6251494e-05 0.0001821916 4.416766e-05 0.0003257365 8.833532e-05 0.00027604788 0.000104898194 0.0010710658 0.00026500598 0.0011041915 0.0010765868 0.0018992095 0.0006238682 0.00042511374 0.00031469457 0.0003257365 0.00014906585 0.0001821916 0.00015458681 6.0730534e-05 4.416766e-05 0.002092443 0.00019323351 0.0021642153 0.00017667064 0.00017667064 0.01637516 0.0066085863 0.01470231 0.010677532 0.009827305 0.0076354844 0.004930215 0.0035444547 0.013929375 0.0006073053 0.0013195089 0.008143412 0.0055540833 0.0045382273 0.010280023 0.011091604 0.00040855087 0.0108045135 0.016093591 0.011455987 0.0054381434 0.0049854247 0.001954419 0.00061282626 0.0006625149 0.00068459875 0.00028156885 4.9688617e-05 0.000104898194 7.177245e-05 0.026517158 0.00036990416 0.062944435 0.007624442 0.023684908 0.042235326 0.11464269 0.0073704785 0.020278476 0.011864537 0.056280643 0.0011428383 0.0069784904 0.03851972 0.025059626 0.060454484 0.055469062 0.01602734 0.0006017844 0.052968066 0.03873504 0.07628859 0.019400645 0.010130957 0.007569233 0.004924694 0.010136478 0.0019268142 5.5209577e-05 9.385628e-05 0.00025396404 7.177245e-05 8.281436e-05 5.0033016 0.0 1.0 0.0 4.0 1202176.0 1236992.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 1199104.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1199104.0 512.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8834066 1.791238 3.108638 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1198884.0 108.0 768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 1206992.0 768.0 1220608.0 0.0 0.0 0.0 0.0 12.0 1228800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.034892417 0.0041203955 0.0038846948 0.003907974 0.003978781 0.0037775142 0.0036907026 0.0038119478 0.0041446444 0.0037692694 0.0037246512 0.003731926 0.0039181584 0.0037188316 0.0036800331 0.0043536713 0.003955017 0.0037125268 0.0036955525 0.003733866 0.0038963344 0.003681003 0.0036746983 0.0036761533 0.003828922 0.003704282 0.0037838188 0.0036776082 0.003660149 0.0036853678 0.0037159217 0.0036664535 0.0037988534 0.0036887627 0.0037503552 0.0037639346 0.003926888 0.0036780932 0.003703797 0.003754235 0.0037915786 0.0037474453 0.003757145 0.0036936125 0.003755205 0.0037120418 0.00388227 0.0036834278 0.0037915786 0.0037498702 0.0037920636 0.003830862 0.0037227115 0.0037401707 0.003755205 0.0036945825 0.003807583 0.0037784842 0.0037532651 0.003761995 0.0037401707 0.00376151 0.0036848828 0.0037716944 0.0040718974 0.0037731493 0.0037489003 0.0037920636 0.0037198015 0.0039710216 0.003833772 0.0038783902 0.0037770292 0.0036989474 0.003681488 0.0037682995 0.0037086469 0.0038163126 0.003729501 0.0037149517 0.004033584 0.0037721794 0.0037867287 0.0038623859 0.003861416 0.003734351 0.0039040942 0.0038439566 0.0037872137 0.0036882777 0.0037532651 0.0037372608 0.0037362908 0.003759085 0.0037755743 0.0038255272 0.0037217415 0.0038017633 0.0038876047 0.0038250422 0.0038255272 0.0039991504 0.0042523104 0.0037687845 0.003858021 0.003826982 0.0039453176 0.0036751833 0.0038478363 0.003832317 0.003924948 0.0038138877 0.0037838188 0.0036945825 0.0039380426 0.0037896386 0.0041635586 0.0040481333 0.003727561 0.003759085 0.0037459903 0.0036800331 0.0037246512 0.0037018573 0.0037843038 0.003761995 0.0037173766 0.003729501 0.0038095228 0.0037202865 0.0036936125 0.004101966 0.003830377 0.0039200983 0.003861416 0.0037673295 0.0037881837 0.0039666565 0.0037256212 0.0044657015 0.0037755743 0.0040394035 0.0037872137 0.0037464753 0.003728531 0.003757145 0.0037702394 0.0037004023 0.0036717884 0.0036911876 0.003807098 0.003658694 0.0035985564 0.003734836 0.00376054 0.0037527801 0.0037134967 0.0037736343 0.0038100078 0.0037096168 0.0036877927 0.003733381 0.0037682995 0.003660149 0.0037469603 0.0037246512 0.0037222265 0.0037256212 0.0037498702 0.0037202865 0.0036873077 0.0037353209 0.003656269 0.0036785782 0.003702827 0.0036441444 0.0038454114 0.0037231962 0.003659664 0.0037115568 0.003729501 0.003704767 0.0037779992 0.0037130117 0.0038526861 0.0037537501 0.00376054 0.0037207715 0.00375957 0.0037716944 0.0037484153 0.0037649046 0.0038783902 0.0037998233 0.0037251362 0.003756175 0.0037518102 0.0037231962 0.0038463813 0.0037251362 0.0037416257 0.0037644196 0.0038138877 0.0037687845 0.0037202865 0.0036839128 0.0037712094 0.0037760593 0.003729986 0.003729016 0.003729986 0.0037522952 0.0036528741 0.003734351 0.0037736343 0.0037416257 0.0037649046 0.003755205 0.0037178616 0.003759085 0.0038032182 0.003659179 0.0037392008 0.0037251362 0.0037139817 0.0036940975 0.003734836 0.0037978834 0.0037910936 0.003681973 0.0036742133 0.0038100078 0.0042159366 0.0037876987 0.003807098 0.0038512312 0.0038943945 0.003607286 0.0037784842 0.0038682055 0.0038497762 0.0037362908 0.0037231962 0.0038027333 0.003761025 0.003728531 0.0037416257 0.003706707 0.003782849 0.0037265911 0.0037236812 0.003734836 0.0038134027 0.0037702394 0.003780909 0.004736806 0.022862824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048027266 0.0 4.8536904e-06 2.426845e-07 9.70738e-07 2.1841606e-06 4.611006e-06 3.3975832e-06 2.426845e-07 0.0 0.0 0.0 0.0 2.426845e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021322262 3.154899e-05 2.6209927e-05 2.6937982e-05 2.4268451e-05 7.2319985e-05 2.790872e-05 2.4511137e-05 2.1356238e-05 1.4318387e-05 1.5289124e-05 1.1891541e-05 1.5774494e-05 1.0435434e-05 1.4318387e-05 1.5774494e-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 0.00030990812 0.0 3.980026e-05 5.581744e-06 4.8536904e-06 3.1548986e-06 8.008589e-05 5.3390595e-05 0.0 0.0 2.426845e-07 0.0 0.0 0.0 0.0 0.0 0.00026986518 4.85369e-07 2.5967243e-05 7.52322e-06 1.1891541e-05 8.7366425e-06 0.00011551783 5.5089386e-05 7.280536e-07 0.0 0.0 0.0 0.0 4.85369e-07 0.0 7.280536e-07 0.00034364127 1.0435434e-05 1.019275e-05 1.1648857e-05 1.1891541e-05 1.0678119e-05 1.0920803e-05 1.019275e-05 1.0435434e-05 9.950065e-06 9.950065e-06 9.222012e-06 9.707381e-06 9.950065e-06 8.251273e-06 9.950065e-06 0.0006819435 1.7473285e-05 4.4653953e-05 2.9122142e-05 0.00011017877 5.9700393e-05 0.00023540398 0.00013930092 1.6017178e-05 1.5774494e-05 1.8686707e-05 1.8686707e-05 1.5289124e-05 1.820134e-05 5.6302808e-05 1.4318387e-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 0.00085085194 3.3975834e-05 4.659543e-05 4.5382007e-05 0.0001441546 9.610307e-05 0.00023904425 0.00015167783 5.9943075e-05 2.3783083e-05 2.208429e-05 4.1499054e-05 3.494657e-05 7.474683e-05 7.790173e-05 4.5382007e-05 0.0006462689 7.7173674e-05 0.00010386897 5.047838e-05 9.464696e-05 7.9115154e-05 0.00058195746 0.00016915111 6.819435e-05 2.9850196e-05 2.0628184e-05 2.1841606e-05 8.1542e-05 0.00011309099 0.00017934386 0.00016793769 0.0037033658 0.00046765307 0.0003480096 0.00037543295 0.0006676251 0.0008685679 0.00059846 0.0007646989 0.0018691561 0.00023491861 0.00018880855 0.00043197843 0.0007025717 0.00030651054 0.00074965245 0.0011420733 0.0012117238 0.0002334625 0.00015531809 0.00018856587 0.00029583243 0.00046110057 0.00026695296 0.0003448547 0.0007066973 5.5089386e-05 9.149206e-05 0.00013129233 0.00032010087 0.0001160032 0.00032204235 0.00056666834 0.059460618 0.05889031 0.05927885 0.059403345 0.059328355 0.059206285 0.059651125 0.059045628 0.059261616 0.059271567 0.058986414 0.059344374 0.059076693 0.059123047 0.059312824 0.059172068 9442.0 5.833086 55076.0 0.011220858 0.010040671 0.0100225145 0.009495969 0.009986201 0.0098227905 0.00971385 0.009840947 0.0098227905 0.009278089 0.010149611 0.0092054615 0.010476433 0.009840947 0.010984821 0.010113298 0.00971385 0.010258552 0.010585373 0.010694313 0.009732007 0.009387028 0.009241775 0.009895417 0.0100225145 0.010204081 0.010095141 0.009296245 0.009314402 0.0092054615 0.009477813 0.0102222385 0.010185925 0.0106398435 0.0094233425 0.0108395675 0.009241775 0.009732007 0.010966664 0.010748783 0.010095141 0.010276709 0.009187304 0.010530903 0.0106398435 0.009695693 0.009931731 0.010258552 0.009568596 0.010058828 0.011402425 0.010185925 0.010349335 0.009804633 0.009895417 0.010313022 0.009986201 0.009604909 0.010549059 0.009986201 0.009859104 0.010058828 0.009840947 0.011420582 0.009840947 0.0125463 0.010167768 0.01154768 0.012074225 0.015778197 0.010676157 0.011384269 0.010458276 0.012800494 0.010204081 0.00965938 0.012800494 0.011148231 0.013980681 0.012110538 0.010857724 0.009132835 0.013980681 0.012564456 0.013762801 0.010530903 0.010694313 0.010240396 0.009350715 0.010966664 0.009986201 0.009695693 0.009023895 0.009278089 0.0100225145 0.010095141 6.5765085 1.0 0.0 0.0 37.0 2061938.0 352256.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1442778200.0 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 166400.0 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 20992.0 0.0 0.0 0.0 0.0 0.0 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 -166400.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.991176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9657164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.640562 0.0 7.987367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20643.0 0.0 0.0 0.0 0.0 0.0 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 -166372.0 0.0 14632.0 0.0 0.0 0.0 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 51.0 192624.0 220.0 187380.0 14632.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183424.0 0.0 0.0 916.0 172032.0 0.0 0.0 0.0 0.0