Input: 0.27668947 0.021345377 0.011743925 0.0059789135 0.00848019 0.003870941 0.006054814 0.0031602336 0.0094324 0.002359825 0.0030670825 0.0016284173 0.0056753103 0.0026220279 0.0020113713 0.0039192415 0.0064515686 0.0025288768 0.0020044711 0.0021390226 0.0027496791 0.0026047777 0.001138512 0.0009487601 0.0019044202 0.0010971116 0.0007728082 0.0006796572 0.0019527207 0.0013317141 0.0011143618 0.00089010946 0.01130577 0.0014041649 0.0014731656 0.0011868125 0.003105033 0.0025185267 0.0009177097 0.001045361 0.0020079212 0.0008935595 0.001138512 0.0017422684 0.0014559154 0.0009625602 0.0032947848 0.0010729614 0.010536412 0.0030705326 0.0019941211 0.005119854 0.0023115245 0.0026151277 0.001700868 0.0017353684 0.0021976733 0.0028911307 0.0031740337 0.003487987 0.0011557622 0.0021148724 0.0011281619 0.00077970827 0.004550598 0.002549577 0.0012972137 0.004926652 0.0025702773 0.0103880605 0.0034396865 0.0015283662 0.0023080744 0.0028531803 0.00087285927 0.00068310724 0.0018043692 0.005837462 0.0021597228 0.0009487601 0.0069621736 0.0022356238 0.0019527207 0.005768461 0.002066572 0.004036543 0.0046644495 0.0036949893 0.001224763 0.0034672867 0.00075900805 0.001324814 0.0010591613 0.00282903 0.0025185267 0.0025323268 0.0012558133 0.007997185 0.0025150767 0.006223866 0.006486069 0.018412845 0.0051405546 0.0029118308 0.0051302044 0.009856755 0.0040468927 0.0011971627 0.007055325 0.0040158425 0.009294398 0.012185529 0.0058305617 0.0005140554 0.012430482 0.008687192 0.018005742 0.011509322 0.0026116776 0.0015214662 0.0033361854 0.0030256822 0.0009349599 0.00057270605 0.0010246609 0.002732429 0.0011937127 0.00089010946 0.003405186 0.0016698177 0.0013351642 0.008856243 0.0020217213 0.0040710433 0.001421415 0.00057270605 0.0017353684 0.006061714 0.0010039606 0.019506507 0.0010212108 0.006413618 0.0009315099 0.0007107075 0.00097636034 0.0006969074 0.0006003064 0.0009556601 0.00086595915 0.0006244566 0.0006003064 0.00059340626 0.0007107075 0.00050370535 0.0005278556 0.0002725529 0.0007935084 0.0003864041 0.00046920497 0.00048300513 0.0012834136 0.0012144129 0.0007176076 0.0013110139 0.0009315099 0.0007107075 0.00044505473 0.0007624581 0.0009556601 0.0007107075 0.000569256 0.0005485558 0.00079695845 0.00043125456 0.00057615613 0.00038985413 0.0010177608 0.00042090446 0.0007003574 0.0008004085 0.00068655726 0.00045885486 0.00083145883 0.0010557112 0.0018975202 0.0005865062 0.0005106054 0.0005485558 0.00081420864 0.000569256 0.00057960616 0.00063135667 0.0048542013 0.0020596718 0.0019044202 0.003588038 0.0025909774 0.000569256 0.0026013276 0.0028083299 0.0016732677 0.0015214662 0.0005313056 0.000662407 0.015494114 0.0005106054 0.0015214662 0.00090045953 0.0013455143 0.0007935084 0.0007072575 0.00070380745 0.00094531 0.000376054 0.00094531 0.0006244566 0.001411065 0.0005485558 0.0006382568 0.00090735964 0.0010764115 0.00045540484 0.0006210066 0.0005278556 0.0020941722 0.0006382568 0.000472655 0.00044850475 0.0018112692 0.0003967542 0.0006210066 0.00090045953 0.013531043 0.0027289789 0.00050370535 0.003208534 0.0036570388 0.00039330416 0.000658957 0.00057270605 0.0034569367 0.0013386142 0.0006072064 0.0008211087 0.001231663 0.000472655 0.0018285194 0.0014938659 0.0032292341 0.0011005617 0.00064860686 0.00096601027 0.0041952445 0.0009729103 0.003022232 0.036049433 0.01053614 1.7314937e-06 5.194481e-06 2.5972407e-05 0.0 0.0 1.7314937e-06 3.4629875e-06 5.194481e-06 2.77039e-05 1.5583444e-05 3.4629875e-06 3.4629875e-06 3.4629875e-06 1.7314937e-06 3.4629875e-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 0.009422789 7.9648715e-05 8.4843196e-05 0.00019046431 5.7139296e-05 9.350067e-05 5.7139296e-05 6.0602284e-05 0.00014371399 2.77039e-05 5.7139296e-05 6.752826e-05 2.0777925e-05 3.9824357e-05 4.5018838e-05 0.00019046431 0.0029435395 2.77039e-05 3.9824357e-05 2.2509419e-05 3.636137e-05 1.7314938e-05 1.7314938e-05 3.9824357e-05 0.00024587213 2.5972407e-05 4.8481827e-05 2.2509419e-05 1.9046432e-05 8.657469e-06 2.2509419e-05 8.657469e-06 0.008169188 0.00015929743 0.00025279808 0.00012293606 0.0002216312 0.0001385195 0.00079821865 0.00042594748 7.4454234e-05 1.5583444e-05 7.099124e-05 4.155585e-05 3.116689e-05 3.289838e-05 2.5972407e-05 5.7139296e-05 0.033457655 0.00040516956 0.00065623614 0.008347532 0.0005142537 0.00032032636 0.005178898 0.0010925726 0.00043806792 0.00043633644 0.00019912179 0.00020431627 0.0002268257 0.00012120457 0.0001385195 0.0014544547 0.0340429 0.00026145557 0.002500277 0.0015773908 0.0031322723 0.0014769642 0.014849291 0.007976992 0.00011601009 6.579676e-05 5.8870788e-05 7.4454234e-05 4.8481827e-05 0.00010042664 5.54078e-05 0.0010388963 0.09376904 0.0019063747 0.008236716 0.0059043937 0.00766186 0.004327003 0.03235123 0.018272454 0.001255333 0.00046404035 0.0007826352 0.00032898382 0.0003584192 0.00043460494 0.00057658745 0.00067528256 0.02772641 0.0018457724 0.0026526486 0.002476036 0.0024033133 0.0019358101 0.010660808 0.0059805796 0.0009471271 0.00051944813 0.00034803024 0.00031340038 0.000420753 0.00046057734 0.00038439163 0.0012085827 0.022897273 0.0013315188 0.0029608544 0.0016085578 0.002791168 0.0023686835 0.010989791 0.0067095384 0.00093154365 0.0004778923 0.00052464264 0.00035149325 0.0006337267 0.0005661985 0.00074107933 0.00085362646 0.015289091 0.001535835 0.0017297623 0.00091596023 0.0018769393 0.0015063996 0.0035183954 0.00208645 0.0013869265 0.0007237644 0.0007843667 0.00051771663 0.0008570894 0.00050732767 0.00088133034 0.0013436392 0.0055546323 0.0009228862 0.0006475787 0.0006475787 0.0006527732 0.0007324219 0.0005125222 0.00048308677 0.00079302414 0.00037573415 0.0003012799 0.00027184453 0.00043979942 0.0002787705 0.0004726978 0.001097767 0.04467081 0.007791722 0.004600579 0.006953679 0.012768035 0.015238876 0.007682638 0.012139503 0.026230399 0.0020033384 0.0024569896 0.003068207 0.020159783 0.0035409047 0.01385195 0.026062444 0.050621953 0.01105905 0.008167456 0.012620858 0.014310796 0.016637923 0.0116287125 0.01563539 0.025967212 0.0034543301 0.004978045 0.0052689356 0.019103572 0.0051529254 0.014148036 0.025925657 0.0075856745 0.0030266512 0.002979901 0.00462482 0.0023981188 0.0024362118 0.005648133 0.004046501 0.0023756095 0.0014665752 0.0017540032 0.0016033632 0.0016154837 0.0014215565 0.001392121 0.0017245678 1555.0 16.318972 25376.0 0.038658574 0.0029555485 0.0029555485 0.0018127364 0.0014186633 0.001379256 0.00043348045 0.0030343633 0.0024826608 0.0030737706 0.00051229505 0.0018521438 0.0011034048 0.0016156998 0.011822194 0.0058322824 0.023171501 0.0137925595 0.0049653216 0.004886507 0.002522068 0.0018915511 0.002127995 0.0040589534 0.0021674023 0.0050835437 0.0026796972 0.00082755357 0.0017339218 0.0014974779 0.001261034 0.0008669609 0.0031919924 0.010797604 0.0015368853 0.018403215 0.007645019 0.0059505044 0.005911097 0.0050835437 0.0039407313 0.0072115385 0.0007881463 0.0013398486 0.004610656 0.011191677 0.0038619167 0.0030737706 0.010876419 0.0011034048 0.008472572 0.018403215 0.006659836 0.0025614754 0.00910309 0.009930643 0.0019309584 0.0018127364 0.002758512 0.001379256 0.000630517 0.0009851828 0.00082755357 0.007447982 0.0021674023 0.035584804 0.008196721 0.03400851 0.018166771 0.07235183 0.013674338 0.012255674 0.014186633 0.051268917 0.0015368853 0.0038225094 0.024866015 0.01879729 0.041023012 0.070066206 0.021398172 0.0009063682 0.06116015 0.03917087 0.073849306 0.016235813 0.005911097 0.0046894704 0.004886507 0.012216267 0.0017733291 0.00011822194 0.00023644388 0.00074873894 0.0002758512 0.0005517024 5.463302 0.0 21.0 0.0 9.0 289852.0 106496.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1191954000.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 30208.0 1024.0 4096.0 8.0 0.0 0.0 2.0 2.0 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 -2048.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 -9216.0 -20992.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.41381684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.814563 -4.703598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3801236 0.0 0.0 -5.279527 0.0 0.0 0.0 0.0 0.0 -6.0068913 -5.2088666 3.3807237 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 -1895.0 -600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10740.0 0.0 0.0 -1179.0 0.0 0.0 0.0 0.0 0.0 -9051.0 -20980.0 1120.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1120.0 90112.0 0.0 0.0 0.0 0.0 12.0 98304.0 28.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8192.0


Input: 0.56492114 0.0046476843 0.0022371071 0.0016479641 0.0036821442 0.001348483 0.001425399 0.0012372005 0.003575771 0.0008067987 0.0013959418 0.0006955161 0.0021700102 0.0009819051 0.0006316923 0.0013975783 0.0023925754 0.0006104177 0.0005924161 0.00048604305 0.0011733766 0.0020521816 0.00044676682 0.00058750657 0.0008428019 0.00054495735 0.00045494936 0.00039439855 0.0010228178 0.00041894618 0.00031584615 0.00041567316 0.009108807 0.00043531126 0.0004451303 0.0004418573 0.0017216069 0.0007086082 0.00056459545 0.0003240287 0.00096226705 0.00068406056 0.000666059 0.0010457289 0.00068242406 0.0006104177 0.0014123069 0.00039276204 0.004449667 0.0015055878 0.0009737226 0.0027067852 0.001065367 0.00081825425 0.0005515034 0.000386216 0.0010768226 0.0011930147 0.000669332 0.0014483101 0.0007675225 0.0007838876 0.0005744145 0.0005973256 0.004657503 0.006168001 0.00060387165 0.0010359099 0.001332118 0.0038850713 0.001348483 0.0006938796 0.0014941323 0.00073970185 0.00085425744 0.0004254922 0.0010228178 0.0018999864 0.00091644475 0.0006676955 0.0041436395 0.0011635575 0.001148829 0.002703512 0.001341937 0.0019867213 0.0021503721 0.0017887038 0.00077570503 0.0014041243 0.00075606693 0.0010702766 0.00078225107 0.0011733766 0.0013370275 0.0013239355 0.00056459545 0.0056835944 0.0008117082 0.0020800023 0.0035839537 0.0082594585 0.0040732697 0.0015677752 0.003426849 0.0043138363 0.0017199705 0.0007053352 0.0033384773 0.0016823307 0.004533129 0.0047606034 0.0025578628 0.00069715263 0.005114089 0.0039276206 0.008256186 0.0060730833 0.0023794833 0.001065367 0.0009917242 0.00096063054 0.00094590196 0.000476224 0.0011766496 0.0013370275 0.00076097646 0.0006709685 0.0023631183 0.0011537385 0.0005187732 0.0027689724 0.0012404735 0.0034841266 0.0017510641 0.0009769956 0.0013910322 0.004218919 0.0013632117 0.010134897 0.0010457289 0.004492216 0.00048767956 0.00066442246 0.0010359099 0.0006169637 0.00046804146 0.0008313463 0.0009033527 0.0006284193 0.0006104177 0.00086080347 0.0007495209 0.00062350975 0.0007282463 0.0012781132 0.0015039514 0.0012028337 0.00086244 0.0012781132 0.0008886241 0.0015726847 0.0012682942 0.00092462735 0.0009900876 0.00095899403 0.0009328099 0.0008067987 0.0008509844 0.0011815592 0.0015890498 0.0014695846 0.0019408992 0.0024400342 0.0011128258 0.0013681211 0.0017003324 0.00075770344 0.0013026608 0.00083789235 0.0010179083 0.0013583021 0.0009671766 0.001148829 0.0018639832 0.0011341004 0.0014843133 0.00087716855 0.0011750131 0.0012191988 0.0009508115 0.0011226449 0.004817881 0.0014941323 0.0017510641 0.0031797362 0.0022583818 0.0017805212 0.0017805212 0.0018623468 0.0013664847 0.001544864 0.0009704496 0.0009098987 0.0011537385 0.0011962877 0.0011962877 0.00075606693 0.0011701036 0.00091644475 0.001052275 0.00091644475 0.0016626926 0.0009377194 0.0015268625 0.0009753591 0.0012732036 0.00080188917 0.00066442246 0.0008280733 0.0009311734 0.0005318653 0.0005924161 0.0005302288 0.0010899147 0.0006856971 0.0007887971 0.00056459545 0.0012781132 0.00064314785 0.00069715263 0.0011881052 0.0059618005 0.0022403803 0.0010228178 0.0026756914 0.002194558 0.0004745875 0.00079861615 0.0005498669 0.0021961944 0.0011848322 0.0008460749 0.0009017162 0.0013943053 0.0011111893 0.0010506385 0.00073806534 0.0016168704 0.0006938796 0.00065787643 0.0008509844 0.0025627725 0.00087716855 0.001422126 0.03764133 0.43529412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015764509 1.5592175e-05 4.9238447e-06 4.103204e-06 3.282563e-06 4.103204e-06 4.103204e-06 4.103204e-06 3.200499e-05 4.9238447e-06 4.103204e-06 4.103204e-06 5.7444854e-06 4.9238447e-06 3.282563e-06 4.9238447e-06 0.0014648438 2.4619223e-06 4.9238447e-06 1.6412815e-06 3.3646273e-05 4.9238447e-06 9.027049e-06 2.4619223e-06 1.23096115e-05 1.066833e-05 3.282563e-06 1.4771534e-05 5.7444854e-06 3.282563e-06 3.6928835e-05 6.975447e-05 0.007109211 0.0001427915 9.1091126e-05 5.8265494e-05 0.00021993172 0.00023060005 9.0270485e-05 0.00010011817 5.252101e-05 3.4466913e-05 4.7597165e-05 3.9390758e-05 6.5651264e-05 2.7901786e-05 3.0363708e-05 6.318934e-05 0.0038545497 4.5955883e-05 0.00010504202 2.4619223e-05 5.6624212e-05 8.8629204e-05 0.00039965205 0.00029871325 1.3130252e-05 1.8054097e-05 2.133666e-05 2.6260504e-05 2.7081145e-05 1.8054097e-05 1.9695379e-05 2.4619223e-05 0.0025054163 1.23096115e-05 1.3950893e-05 1.8054097e-05 5.170037e-05 2.5439864e-05 4.9238446e-05 0.00016412816 0.00010340074 2.133666e-05 8.616728e-05 0.0001871061 0.001711036 0.001107865 8.780856e-05 0.0005777311 0.04868123 0.00013540573 0.0072085084 0.00025439865 0.001338465 0.0009970785 0.022345226 0.011131992 0.00029050684 0.00012145483 0.00014607406 0.0014664851 0.003077403 0.0010857077 0.0006540507 0.0019063485 0.0078929225 0.00013376445 0.0005514706 0.00011160714 0.00062040443 0.00049648766 0.0029575892 0.0008920365 0.00040703782 0.0003824186 0.001795562 0.002827928 0.0017791492 0.0003520549 0.00013212317 0.0021968554 0.0131401 0.00059414393 0.0010832459 0.0009404543 0.0023462118 0.0015633206 0.0065930276 0.003743763 0.0004570969 0.0016601563 0.0030363707 0.0023330816 0.0017865349 0.0014738708 0.00053998164 0.0024061187 0.005874967 0.0005334165 0.00063107273 0.0002773766 0.0011472558 0.000571166 0.0019252232 0.0018571101 0.006251641 0.0073890495 0.010184973 0.006263951 0.003981749 0.0026112788 0.0025776327 0.0050649946 0.009358587 0.0011029412 0.0009338892 0.0045373226 0.0019079897 0.001276917 0.0039251246 0.0035829176 0.0009839482 0.00060235034 0.00059414393 0.0004891019 0.0006959034 0.0011209953 0.0029108129 0.0063131894 0.010123424 0.0011439732 0.0017816111 0.0011817227 0.0022255778 0.0012514772 0.0026777508 0.0023577008 0.0019153755 0.00071724004 0.00077796745 0.0007008272 0.0013680081 0.0011406906 0.0031504398 0.0061416756 0.021778164 0.0033432904 0.003326057 0.005037093 0.0069713434 0.006827731 0.0039119944 0.0052709756 0.011382287 0.0013762146 0.0017553506 0.0020351892 0.006081769 0.002661338 0.0055959495 0.01348559 0.024798943 0.005463826 0.004306723 0.006942621 0.010752035 0.01166787 0.0061080293 0.0079421615 0.016146928 0.001825105 0.0018382353 0.0025185465 0.0074505974 0.0036813945 0.007119879 0.01757156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1995.0 11.772932 23487.0 0.020266531 0.004002214 0.002852642 0.00080895814 0.0028952186 0.0027249116 0.0034487164 0.0010218419 0.0045557115 0.0020436838 0.0015753396 0.0006812279 0.0039170603 0.0040873676 0.0074083535 0.004640865 0.032273173 0.009154 0.0072380467 0.008387619 0.006471665 0.003831907 0.0040873676 0.0027249116 0.005322093 0.007493507 0.0051943627 0.0034487164 0.005449823 0.0042576743 0.0035764466 0.0040873676 0.0063865115 0.01660493 0.0037467536 0.01072934 0.0102609955 0.011367991 0.0077915443 0.008302465 0.006514242 0.0077489675 0.004300251 0.0051943627 0.0077915443 0.00536467 0.0062587815 0.008472772 0.009920382 0.0044705584 0.009324307 0.022054754 0.011495721 0.007919274 0.009366884 0.0109848 0.0034487164 0.0050666328 0.0028100652 0.0031506792 0.005790437 0.0019159535 0.0037467536 0.013539405 0.0022139908 0.039170604 0.0052369395 0.017754503 0.020309107 0.06326904 0.06382254 0.012049219 0.015540511 0.03372078 0.004981479 0.0043854048 0.02852642 0.011666028 0.031038446 0.03257121 0.016179163 0.0022139908 0.03376336 0.027121386 0.048324604 0.012645293 0.010346149 0.0077063907 0.00536467 0.008430195 0.0013624558 0.0007663814 0.0018308 0.0010218419 0.0034061396 0.0014901861 5.8999367 1.0 26.0 7.0 4.0 611057.0 364544.0 0.0 0.0 9.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 56320.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -5120.0 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 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -56320.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 270848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.608668 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7891703 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4261117 0.0 0.0 0.0 0.0 0.0 0.0 -4.8773885 0.39807168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 -4664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 2333.0 0.0 0.0 0.0 0.0 0.0 -1100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55840.0 0.0 0.0 0.0 0.0 0.0 0.0 -3100.0 270464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3100.0 69632.0 9728.0 90112.0 0.0 0.0 0.0 0.0 4664.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20645578 0.013828822 0.009242467 0.006027948 0.009341286 0.005365281 0.0030343193 0.0025518509 0.00906808 0.0012962704 0.0023542133 0.002051944 0.0070161363 0.0050746375 0.0014415922 0.0058303108 0.0071091424 0.0014648438 0.0010405041 0.0008893694 0.0046909875 0.0062372116 0.0009881882 0.0010056269 0.0038481213 0.00080217636 0.000726609 0.00077892485 0.004406157 0.0021972656 0.0007556734 0.0008544922 0.010945638 0.0029238747 0.0010172526 0.0008312407 0.03072684 0.0025227864 0.00069754466 0.0005638486 0.002865746 0.0008254278 0.000819615 0.0031040737 0.0026157924 0.0012323288 0.001499721 0.00059291295 0.0034354073 0.00061035156 0.0009416853 0.004813058 0.0027029854 0.0015811012 0.0015636625 0.0013369606 0.004225958 0.0027901786 0.0026099796 0.0046096076 0.0030866351 0.0018659319 0.0014706566 0.0017554874 0.0047084265 0.003813244 0.029046921 0.0012962704 0.011399042 0.005812872 0.0022263299 0.0015752884 0.002726237 0.0015985398 0.0006859189 0.00062779017 0.0052839005 0.0023251488 0.000999814 0.0012148903 0.008614676 0.004807245 0.0037783668 0.0038248699 0.0040283203 0.003040132 0.0047898064 0.003493536 0.0018426804 0.0024588448 0.0007382347 0.0020635696 0.003261021 0.0026157924 0.003045945 0.0025111607 0.0014299665 0.0037899925 0.0012962704 0.0021158855 0.0031389508 0.006522042 0.0033830914 0.0014415922 0.007452102 0.0036679222 0.0072079613 0.00069754466 0.0046154205 0.0012497675 0.0035632905 0.0041852677 0.0026564826 0.0004127139 0.0039295014 0.0037783668 0.012381418 0.0077427453 0.0010811941 0.0011451358 0.001819429 0.001273019 0.0008370536 0.0013834635 0.0037609283 0.0025692894 0.001772926 0.0013427734 0.0052025206 0.0033714657 0.0011625744 0.0146309985 0.0046561104 0.005818685 0.00057547435 0.0005289714 0.0026622955 0.010050456 0.002453032 0.029581705 0.0025227864 0.009039016 0.0010579427 0.00088355655 0.008324033 0.00044759116 0.0004359654 0.0005289714 0.0022553944 0.00047084264 0.00051153277 0.0002499535 0.004086449 0.0009823753 0.00031389509 0.00062779017 0.0015055338 0.0006859189 0.0006219773 0.00045921688 0.001273019 0.0040573846 0.0010870071 0.0017671131 0.0017961775 0.0015520368 0.00036039806 0.0003778367 0.0014357794 0.0004359654 0.00048828125 0.00045921688 0.0016624813 0.00055222283 0.0016159784 0.0006452288 0.0018426804 0.00032552084 0.00043015252 0.00027901787 0.0015636625 0.0007033575 0.0007905506 0.00074404763 0.0034237816 0.0027087983 0.0017089844 0.0014241537 0.0022844586 0.00094749813 0.0010114397 0.0009881882 0.007277716 0.004725865 0.002040318 0.0052083335 0.0077543715 0.0008777437 0.001953125 0.0033947174 0.0027494885 0.0035632905 0.0010405041 0.0010811941 0.0024355934 0.0011683872 0.0007382347 0.0006336031 0.0017671131 0.001813616 0.0014880953 0.000999814 0.00059291295 0.00068010605 0.0010405041 0.0009591239 0.0063767205 0.011149089 0.0007033575 0.0034412201 0.0043770927 0.0052897134 0.0017380487 0.0017554874 0.0033947174 0.0024820964 0.000906808 0.00057547435 0.0011276972 0.0004359654 0.00081380206 0.00044759116 0.011067708 0.002633231 0.0005173456 0.003772554 0.002952939 0.00065685454 0.00065685454 0.0004185268 0.002778553 0.000953311 0.0014474051 0.002406529 0.0015869141 0.00055222283 0.0027959915 0.002906436 0.004539853 0.002040318 0.0011742001 0.0012613932 0.0031912667 0.0009940012 0.0021158855 0.02327474 0.017964073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010569681 0.00013742047 0.00013742047 2.6314558e-05 0.00023975487 0.00014911583 0.00030407935 0.00014326815 8.4791354e-05 1.169536e-05 1.169536e-05 7.8943674e-05 2.046688e-05 2.046688e-05 2.046688e-05 2.046688e-05 0.004909127 2.92384e-06 5.84768e-06 2.92384e-06 0.00016373504 7.3095995e-05 0.0005350627 0.00026899326 0.0 0.0 5.84768e-06 8.77152e-06 8.77152e-06 2.92384e-06 0.0 0.0 0.004727849 0.00012280127 6.432448e-05 4.678144e-05 0.00035670845 3.800992e-05 2.9238397e-05 5.8476795e-05 7.8943674e-05 4.678144e-05 7.017216e-05 4.093376e-05 6.7248315e-05 6.432448e-05 5.8476795e-05 0.00011695359 0.009239334 0.00016081119 0.0012280127 0.0002134403 0.00026899326 0.0003508608 0.0034384357 0.0017426085 0.00026314557 9.356288e-05 0.00012572511 9.356288e-05 0.00013742047 8.4791354e-05 9.356288e-05 0.00042980447 0.008587318 0.00012280127 0.0025495882 0.00021051646 0.0008654566 0.00045904284 0.006955815 0.0038068395 0.00014619199 4.678144e-05 3.216224e-05 2.9238397e-05 3.508608e-05 1.754304e-05 1.169536e-05 7.601984e-05 0.025501732 0.0007543507 0.0010613538 0.0005145958 0.0019794395 0.0015087014 0.0041196905 0.00215487 0.0011052114 0.00017835422 0.00017835422 0.00013449663 0.00025145023 0.00016081119 0.00020466879 0.0021080885 0.009549261 0.00031869853 0.0013537378 0.0006052348 0.0014385292 0.0010993638 0.004727849 0.002608065 0.00064324477 0.00016958271 0.00017250655 0.0002865363 0.0002865363 0.00013742047 0.00019297343 0.00036255614 0.009268573 0.0007835891 0.0015642543 0.00078943674 0.0011958504 0.00056137727 0.0042395676 0.0024881877 0.0004912051 0.00028361246 0.00029238398 0.00026314557 0.00046781436 0.00034793693 0.0004619667 0.00045319519 0.0061371396 0.0010788969 0.0007192646 0.00048828125 0.0010847446 0.0005906156 0.003412121 0.0019969826 0.00067833083 8.77152e-05 9.941055e-05 0.00012864896 0.00038887069 0.00015203968 0.00032162238 0.00059938716 0.0022308899 0.00055552955 0.00020174494 0.0003303939 0.00026022174 0.00017250655 0.00085668504 0.00045027133 8.77152e-05 0.00012572511 9.6486714e-05 9.6486714e-05 0.00013449663 9.6486714e-05 0.00013742047 0.0001549635 0.05276946 0.0079733115 0.013575388 0.007879748 0.018797366 0.011256783 0.007575669 0.009163314 0.025022222 0.0033361013 0.0036957336 0.0034442833 0.011850323 0.010490737 0.008458668 0.014291729 0.12307026 0.024414062 0.039577097 0.021978503 0.047547482 0.037305273 0.017715545 0.021516537 0.06440927 0.016434904 0.013224527 0.01131526 0.03130555 0.031343564 0.021636415 0.03409197 0.0022133468 0.0014823868 0.0020349924 0.006520163 0.0015233206 0.0015759497 0.0019648203 0.0016636648 0.0016987509 0.0018215522 0.0016724364 0.005309693 0.0019502011 0.0015087014 0.0014443769 0.0015437874 814.0 14.100738 11478.0 0.08459662 0.0006969855 0.0010454783 0.0007841087 0.015769297 0.011151768 0.00052273914 0.00043561595 0.004966022 0.0025265727 0.0054887612 0.0007841087 0.0026136958 0.0058372538 0.011151768 0.0020909566 0.004966022 0.002265203 0.0024394493 0.003572051 0.0028750654 0.002700819 0.0033106813 0.0015682174 0.0025265727 0.0023523262 0.0033106813 0.0016553407 0.0020909566 0.0011326015 0.0009583551 0.0015682174 0.0032235582 0.0076668407 0.010890399 0.006795609 0.011935878 0.0051402682 0.0060986234 0.0060115005 0.0051402682 0.003659174 0.00017424638 0.0007841087 0.006708486 0.0025265727 0.0032235582 0.0034849276 0.014549573 0.007753964 0.009583551 0.012458617 0.006708486 0.0068827323 0.006795609 0.006969855 0.001393971 0.0025265727 0.00034849276 0.0008712319 0.0031364348 0.0009583551 0.0017424638 0.0013068479 0.001393971 0.04478132 0.009932044 0.023261892 0.0229134 0.07562293 0.018470116 0.013068479 0.022129292 0.041122146 0.0033106813 0.0033978045 0.04068653 0.012894233 0.03903119 0.050444327 0.02047395 0.00052273914 0.042080503 0.03789859 0.064384036 0.017250393 0.005575884 0.006708486 0.00792821 0.010019167 0.0012197247 0.0007841087 0.0033978045 0.0006098623 0.0008712319 0.0006098623 5.476131 10.0 0.0 0.0 1.0 172032.0 204800.0 0.0 0.0 146.0 0.0 1.0 0.0 0.0 0.0 1093634800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 126976.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -126976.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.746129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3676605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.608903 0.0 3.4408 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6578.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -126380.0 0.0 7552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 134508.0 7552.0 196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 600.0 131072.0 0.0 0.0 0.0 0.0


Input: 0.17342882 0.007945602 0.005662616 0.004134838 0.0070746527 0.0031221064 0.0017939815 0.0020833334 0.009137731 0.0029340277 0.0024016204 0.0015422454 0.0048582177 0.0029369213 0.0016087963 0.004826389 0.0038165508 0.0031684027 0.0013368055 0.0013541667 0.0021556714 0.0037847222 0.0014004629 0.0013107639 0.0021846064 0.00203125 0.0012991899 0.0014641203 0.0017563658 0.0014091436 0.0012731481 0.001238426 0.0063917823 0.0013512732 0.0023929398 0.0012731481 0.00270544 0.0024016204 0.0011516204 0.0014149306 0.0018894676 0.0012586806 0.0013136574 0.0014004629 0.0014670138 0.0014380787 0.0017013889 0.0011371528 0.0023929398 0.0014872685 0.0015075231 0.0043113427 0.0014583333 0.0013773148 0.0013657408 0.0010966435 0.0018663194 0.0012644676 0.0014409722 0.006351273 0.0015885417 0.0014814815 0.0015162037 0.0018200232 0.0049074073 0.0044357637 0.009024885 0.0062239585 0.004733796 0.020014467 0.0018721065 0.001478588 0.0020486112 0.0023003472 0.002008102 0.0013975694 0.0019126157 0.013955439 0.0016059028 0.0024739583 0.008125 0.0059953704 0.00426794 0.0026909723 0.0027517362 0.008585069 0.0027719908 0.0023032408 0.0020572916 0.0020978008 0.0015219908 0.0013252315 0.0014554398 0.0044878474 0.0022337963 0.0023871528 0.0016290509 0.0052314815 0.0022395833 0.0029947916 0.0056799767 0.008622685 0.002421875 0.0019762733 0.005138889 0.005529514 0.0037934028 0.0013917824 0.0045688655 0.0024681713 0.004878472 0.0043258104 0.0028443288 0.0010763889 0.006429398 0.004291088 0.008978588 0.004800347 0.0021556714 0.0020399306 0.002120949 0.0017795139 0.001478588 0.0010214121 0.0015625 0.0035300925 0.0010908565 0.0011140046 0.002476852 0.0019878473 0.0013049769 0.0110792825 0.0019126157 0.004308449 0.0012210648 0.0013975694 0.0020109953 0.011805556 0.0015104166 0.033006366 0.001875 0.009091435 0.0010416667 0.001105324 0.001634838 0.001238426 0.0011747685 0.0019126157 0.001484375 0.0016174768 0.0013020834 0.0011226851 0.0016811342 0.0011516204 0.0011487269 0.0011892361 0.001478588 0.0012210648 0.0010474537 0.0011024305 0.001556713 0.0026909723 0.0011660879 0.0020543982 0.0014525463 0.0010763889 0.0011805556 0.0011429398 0.0015885417 0.0011863426 0.0015451389 0.0013888889 0.0015653935 0.0011226851 0.0010329861 0.0015798612 0.0018287037 0.0011371528 0.001484375 0.0011429398 0.0015914352 0.0012037037 0.0018229167 0.0018923611 0.003726852 0.0019357639 0.0014409722 0.0011863426 0.0016956019 0.0016869213 0.0014699074 0.001472801 0.005847801 0.0028096065 0.0029976852 0.0038078704 0.0063570603 0.0023061342 0.0026302084 0.008243634 0.0030931714 0.001996528 0.0014409722 0.0013078704 0.04510706 0.0023263888 0.0014438657 0.0013888889 0.0037702546 0.0026591434 0.0025665509 0.0023032408 0.0022135417 0.0013194444 0.0013252315 0.0015972222 0.0026765047 0.0014120371 0.0012123842 0.0015133102 0.0025289352 0.0016493056 0.0014699074 0.0015075231 0.002913773 0.0013686343 0.0012905092 0.0012615741 0.0027372686 0.0038252315 0.0012528935 0.0011979167 0.01692419 0.0040972224 0.0014554398 0.0030815972 0.010078125 0.0015364584 0.0012789352 0.0014120371 0.0059519676 0.0014149306 0.001472801 0.0018865741 0.008660301 0.0014293982 0.0017274305 0.0021498844 0.005269097 0.0015306713 0.0013078704 0.0016377314 0.012190393 0.0030555555 0.0030237269 0.033912037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04966518 0.00082833425 0.002612886 0.0011160715 0.0037972587 0.0004984538 0.008061 0.006059919 0.00030517578 0.0014474051 0.00074550085 0.0006786528 0.00045776367 0.0002019973 0.00015840077 0.0037231445 0.016023181 3.778367e-05 0.0015244257 0.0008225214 0.0018048967 0.0010535831 0.0050542923 0.002679734 9.3005954e-05 0.0002891904 4.359654e-05 3.1970798e-05 2.0345053e-05 4.0690105e-05 2.0345053e-05 0.00022234235 0.022104898 0.00035894485 0.0017017183 0.0009286063 0.0033031646 0.0018920898 0.0067342124 0.003840855 0.00036621094 0.0005841936 0.00048973446 0.0004766555 0.00024414062 0.00041707358 0.00043451219 0.0007658459 0.010041736 0.00015549433 0.0012672062 0.0010477701 0.004099528 0.0024588448 0.0071672713 0.0040835426 0.000566755 0.00012788319 0.00012207031 0.00011625744 0.0005725679 0.00014968145 0.0003240676 0.0004374186 0.01012457 0.0006205241 0.000566755 0.00058710005 0.001886277 0.00093877886 0.0024559384 0.0013485863 0.00057111465 0.00031244187 0.00053623744 0.00045776367 0.0010521298 0.0008225214 0.0011204311 0.00040835427 0.010607039 0.0011160715 0.00074695406 0.0011088053 0.0048958915 0.00403268 0.0017961775 0.001033238 0.0076453798 0.0003240676 0.0005812872 0.0007324219 0.01091948 0.00045921688 0.0044744583 0.0060744514 0.08536348 0.010364351 0.0058346703 0.009845552 0.03926595 0.026157925 0.01373727 0.01058524 0.053051177 0.0030619304 0.0052373977 0.0074433824 0.05516706 0.009642102 0.029368082 0.049564905 0.016680036 0.0031752815 0.0023949032 0.0030023484 0.0073329383 0.0047011604 0.0038146973 0.002979097 0.0107959565 0.0014183407 0.001966204 0.003306071 0.010614304 0.0057779946 0.006094796 0.011183966 0.014632452 0.014250256 0.013918922 0.013798305 0.0141398115 0.013400123 0.014136905 0.013709659 0.01394944 0.013856433 0.013513474 0.013433548 0.014177595 0.014132545 0.013759068 0.01440575 1047.0 13.965616 14622.0 0.022842292 0.0016413623 0.0027356038 0.0012994119 0.009301053 0.0046505267 0.0018465326 0.0036930651 0.0015729723 0.00088907126 0.0013678019 0.0011626317 0.0013678019 0.0026672138 0.007728081 0.0022568733 0.003966626 0.0030091642 0.0050608674 0.0028039939 0.0010942415 0.0017097525 0.0017097525 0.0010258515 0.0015045821 0.0011626317 0.001983313 0.0014361921 0.0028723842 0.0032827246 0.0031459446 0.015592942 0.04164957 0.019696347 0.0050608674 0.017302694 0.017302694 0.009643003 0.0047189165 0.00724935 0.0032827246 0.01395158 0.0019149227 0.003419505 0.009369443 0.0065654493 0.0066338396 0.006360279 0.011831487 0.005129257 0.008070031 0.0151142115 0.008959102 0.00711257 0.012310217 0.010942415 0.00683901 0.0019149227 0.0038298455 0.0017781425 0.0017781425 0.0013678019 0.0013678019 0.02113254 0.002188483 0.04274381 0.011899877 0.027766379 0.022158392 0.068732046 0.009095883 0.011489537 0.011079196 0.03494734 0.0036930651 0.0057447683 0.030091643 0.01408836 0.03296403 0.036383532 0.017165914 0.0022568733 0.045137465 0.045000684 0.0510874 0.015319382 0.009506224 0.00704418 0.005676378 0.010326904 0.00724935 0.0015729723 0.0017781425 0.0014361921 0.0012994119 0.0010942415 5.7587967 0.0 0.0 0.0 6.0 345600.0 372736.0 1.0 0.0 256.0 0.0 1.0 0.0 0.0 0.0 1336043500.0 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 0.0 0.0 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 177152.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177152.0 0.0 90624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.789622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9080033 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.057013 0.0 7.9364915 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176908.0 0.0 94208.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 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 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 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 2.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 250888.0 4284.0 278528.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 185472.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 232000.0 0.0 0.0 1060.0 184320.0 0.0 0.0 0.0 0.0


Input: 0.053275604 0.003701819 0.0037518237 0.0037797675 0.0043180534 0.0039091916 0.003659168 0.0036179875 0.003584161 0.0037209385 0.0038106528 0.003600339 0.0036929946 0.003675346 0.0036194583 0.0037782968 0.0038547746 0.0036621094 0.0035988681 0.0036988775 0.004051852 0.0037680017 0.004260695 0.003523861 0.0037062312 0.0037974163 0.0036900532 0.0036621094 0.0036665215 0.0036518143 0.0036782874 0.0035370977 0.003998906 0.0035444512 0.0036076924 0.0036606386 0.004063618 0.0035929852 0.0035385683 0.0036518143 0.0037856505 0.0036885825 0.003588573 0.0037238798 0.0037650603 0.0034356175 0.0037091726 0.0036312242 0.003701819 0.0036944654 0.0036929946 0.0036385776 0.0036679923 0.0036312242 0.003535627 0.0035488633 0.003572395 0.0037400578 0.0036665215 0.0037091726 0.0037150555 0.0035179781 0.0036768166 0.003567983 0.0042665782 0.0037577066 0.0036253412 0.003809182 0.0037474115 0.004325407 0.003637107 0.003701819 0.0039077206 0.0037091726 0.0037062312 0.003918016 0.0038047698 0.0035959266 0.0036724044 0.0036988775 0.0039356644 0.0036474022 0.0037032897 0.00364299 0.0036650507 0.003776826 0.0036091632 0.0036415192 0.0037209385 0.0037385873 0.0036018095 0.0036871117 0.0036635802 0.003819477 0.003519449 0.0037165263 0.003835655 0.0037547653 0.0037062312 0.00392684 0.0036768166 0.0040224376 0.0038018285 0.0036768166 0.00414892 0.0035988681 0.0037959456 0.0036223996 0.003782709 0.0038047698 0.003847421 0.0039150743 0.0039841984 0.0037900626 0.0039886106 0.003841538 0.0039886106 0.0036885825 0.0036444606 0.003873894 0.0038077114 0.0038003577 0.003556217 0.003594456 0.0036885825 0.0037738846 0.0037459407 0.0037224093 0.0037106434 0.0036282826 0.003685641 0.0043562925 0.0036900532 0.0036650507 0.0036871117 0.0037062312 0.003879777 0.0036782874 0.0036018095 0.0035797488 0.003675346 0.0037047605 0.003659168 0.0036238704 0.0036076924 0.0036459314 0.0036929946 0.0036915238 0.0036503435 0.003588573 0.0036282826 0.0037400578 0.0037577066 0.003669463 0.0037077018 0.004045969 0.0035606292 0.0037297627 0.003600339 0.0035635708 0.0037959456 0.0035694535 0.0037488823 0.0035341561 0.003900367 0.0036459314 0.003669463 0.0036606386 0.0036944654 0.0035621 0.0037165263 0.003653285 0.0037885918 0.0037179969 0.0035606292 0.0037282922 0.0037944748 0.003588573 0.0036576972 0.0035812194 0.003750353 0.004063618 0.0035268024 0.0036223996 0.003584161 0.0038121236 0.0036121046 0.0036356363 0.0038444796 0.0037400578 0.0036812287 0.0036885825 0.0036959362 0.0036223996 0.003675346 0.0037194677 0.0036621094 0.0036900532 0.003626812 0.0035709243 0.0036179875 0.0035768072 0.0036179875 0.0036091632 0.0035915144 0.0035915144 0.003653285 0.0035444512 0.0037047605 0.0037224093 0.0036062219 0.0036974067 0.0036091632 0.0037341749 0.0035253318 0.0037474115 0.0035929852 0.0037327043 0.003873894 0.003567983 0.0037047605 0.0036032803 0.0038047698 0.003701819 0.0036797582 0.0036562264 0.0039047792 0.0037150555 0.003620929 0.003910662 0.0036841703 0.003798887 0.0038106528 0.0036547557 0.0037003483 0.0036312242 0.003803299 0.0035547463 0.0037165263 0.0036076924 0.0037224093 0.003750353 0.0036841703 0.003616517 0.0036297534 0.0036032803 0.00382536 0.0036135754 0.0037297627 0.0036503435 0.0036547557 0.0035915144 0.003535627 0.0036797582 0.0036782874 0.004098915 0.030154865 0.0 0.0 7.364725e-07 0.0 0.0 4.418835e-06 2.94589e-06 7.364725e-07 0.0 7.364725e-07 7.364725e-07 0.0 0.0 7.364725e-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 0.0028052237 5.89178e-06 6.6282523e-06 5.89178e-06 9.5741425e-06 9.5741425e-06 6.849194e-05 5.670838e-05 7.3647248e-06 3.6823624e-06 5.1553075e-06 5.1553075e-06 6.6282523e-06 3.6823624e-06 8.83767e-06 8.101198e-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 0.0012630502 1.9148285e-05 1.47294495e-05 1.6202395e-05 1.9884757e-05 1.767534e-05 1.47294495e-05 1.8411813e-05 1.6202395e-05 1.8411813e-05 1.5465923e-05 1.767534e-05 1.3992977e-05 1.5465923e-05 1.47294495e-05 1.2520032e-05 0.0033155992 8.9849644e-05 6.554605e-05 3.6087153e-05 0.00015244981 9.132259e-05 0.0003078455 0.00017159809 5.4498963e-05 2.4303592e-05 3.3877735e-05 3.0195371e-05 3.240479e-05 1.47294495e-05 3.829657e-05 6.6282526e-05 0.0010715674 2.9458899e-05 2.5776537e-05 1.767534e-05 5.4498963e-05 2.7985954e-05 5.597191e-05 7.2174305e-05 2.9458899e-05 1.3256505e-05 7.3647248e-06 1.6202395e-05 1.5465923e-05 5.89178e-06 1.8411813e-05 4.713424e-05 0.0051958133 0.0001472945 0.00015834159 0.00017012515 0.00014950392 0.00015097686 0.00015834159 0.00014508508 0.000160551 0.00015465922 0.00014508508 0.00015686864 0.00017233456 0.00016202395 0.00015613217 0.00015834159 0.0005383614 8.83767e-06 1.2520032e-05 2.1357702e-05 0.00014434861 6.2600164e-05 0.00042641757 0.00024229944 1.178356e-05 5.1553075e-06 7.3647248e-06 5.1553075e-06 8.101198e-06 2.2094175e-06 5.89178e-06 5.89178e-06 0.0046066353 0.00049932837 0.00033362204 6.186369e-05 0.00067313586 0.0002975349 0.0006510417 0.00049490953 0.00024524535 4.2715405e-05 0.0002032664 9.868731e-05 8.02755e-05 2.5776537e-05 0.00027765014 0.00045808588 0.00074751955 3.9033042e-05 3.9033042e-05 3.1668318e-05 4.2715405e-05 6.849194e-05 0.0001097344 9.9423785e-05 5.302602e-05 4.3451877e-05 3.4614208e-05 3.6823625e-05 2.9458899e-05 4.4924822e-05 4.2715405e-05 4.5661294e-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 0.00025555596 0.0002467183 0.00021652291 5.670838e-05 0.00032773026 0.00018117223 0.00018117223 0.00013182858 0.00025261007 0.00021357702 6.112722e-05 0.0002062123 6.112722e-05 0.00035497974 0.0002062123 6.3336636e-05 0.00048533536 0.0004470388 0.00031005492 0.00020842171 0.000575185 0.0003932763 0.0003991681 0.00039769514 0.00046176824 0.00033067615 0.00033141262 0.00036234446 0.00014361214 0.00047797064 0.00055014493 0.00015907806 0.05830579 0.058352925 0.057874218 0.057721768 0.058738098 0.057844758 0.058386803 0.058599643 0.058327883 0.058116514 0.058187954 0.05833083 0.057584047 0.057909567 0.058210783 0.058126826 3073.0 5.836642 17936.0 0.009366637 0.008474576 0.009032114 0.009366637 0.0095896525 0.009422391 0.008474576 0.009868421 0.009868421 0.009255129 0.009533898 0.009979929 0.01014719 0.009645406 0.009868421 0.01014719 0.008864853 0.0095896525 0.010091436 0.011485281 0.0100356825 0.009422391 0.009087868 0.009143622 0.010816235 0.009255129 0.008474576 0.009366637 0.0103144515 0.0093108835 0.0095896525 0.00853033 0.012098573 0.012433096 0.010370205 0.013102141 0.0103144515 0.008864853 0.009868421 0.008920606 0.01131802 0.008976361 0.009366637 0.008586084 0.009756913 0.009756913 0.008474576 0.011206512 0.009868421 0.009645406 0.009366637 0.009478144 0.010258698 0.009645406 0.008753345 0.010648974 0.008363069 0.009924175 0.0076382696 0.009812667 0.009812667 0.00970116 0.009255129 0.009255129 0.010370205 0.012433096 0.011373773 0.011652542 0.01221008 0.018844781 0.011708296 0.008976361 0.013157895 0.012823372 0.0100356825 0.011095004 0.016001338 0.012098573 0.013213648 0.012934879 0.01265611 0.0103144515 0.015945584 0.011150759 0.017450936 0.010704728 0.00970116 0.0100356825 0.012265834 0.010704728 0.011095004 0.0095896525 0.009032114 0.011485281 0.0093108835 0.009366637 6.563894 0.0 0.0 0.0 16.0 679936.0 688128.0 0.0 1.0 73.0 0.0 0.0 0.0 0.0 0.0 1462002200.0 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 12.0 0.0 5.0 0.0 5.0 0.0 22528.0 1024.0 4096.0 2.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -656384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.955788 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4130638 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -656192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22185.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 684800.0 180.0 682948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 324.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.17869018 0.017720316 0.011689626 0.0044404054 0.014973461 0.001259836 0.0027881616 0.0018174683 0.012577707 0.0038827732 0.0007848159 0.00090873416 0.0112146055 0.0044197524 0.0016109379 0.00629918 0.020962846 0.0009913463 0.00059893844 0.00057828537 0.00629918 0.0042545283 0.00070220366 0.00068155065 0.004109957 0.0017761623 0.0018381214 0.0022305294 0.0038621202 0.00070220366 0.0003304488 0.00059893844 0.0036142836 0.00039240794 0.0007435098 0.0014044073 0.040004957 0.007414445 0.00049567316 0.0007435098 0.0030359982 0.00020653049 0.00049567316 0.0019207336 0.0019000806 0.00068155065 0.00041306097 0.0030979575 0.0017142032 0.00041306097 0.0014044073 0.005762201 0.0023131415 0.0005369793 0.00049567316 0.0007228567 0.0017761623 0.003717549 0.00049567316 0.005473058 0.001280489 0.0009500403 0.0008674281 0.0003304488 0.0038414672 0.002065305 0.0010119994 0.0031805695 0.011607014 0.0014044073 0.0048121605 0.0019413866 0.0043784464 0.00088808115 0.0001652244 0.0003717549 0.008860158 0.0015489787 0.0017555092 0.0010326524 0.015758276 0.006629629 0.0036555897 0.0040273448 0.003717549 0.0023751007 0.008323179 0.005018691 0.0013011422 0.0022305294 0.0007848159 0.002932733 0.002519672 0.0019207336 0.007104649 0.0043164873 0.0027262026 0.00039240794 0.00028914268 0.0011152647 0.005844813 0.00039240794 0.00508065 0.00020653049 0.0055969763 0.00082612195 0.0059893844 0.000846775 0.0019000806 0.00080546894 0.0007228567 0.00082612195 0.0015902848 0.0003304488 0.0009500403 0.0009706933 0.013507094 0.004523018 0.0010946116 0.00070220366 0.0017968153 0.00070220366 0.0001652244 0.0003304488 0.0027262026 0.00090873416 0.0022924885 0.0006195915 0.0023337945 0.0021479172 0.0003717549 0.015283257 0.0076829344 0.007352486 0.0011978769 0.00057828537 0.0018174683 0.018319255 0.0013424482 0.050909765 0.0022511824 0.013631012 0.0006402445 0.00024783658 0.0013217952 0.00030979575 0.00030979575 0.00024783658 0.0021685702 0.00047502015 0.00026848965 0.00030979575 0.00030979575 0.0003717549 0.00020653049 0.0003717549 0.0010739586 8.26122e-05 0.00043371404 0.00028914268 0.00059893844 0.003345794 0.00049567316 0.0014044073 0.00070220366 0.00020653049 4.13061e-05 8.26122e-05 0.0006402445 0.0001652244 8.26122e-05 0.00010326524 0.00049567316 0.0001652244 0.00014457134 2.065305e-05 0.0010326524 0.00020653049 0.00012391829 0.00018587745 0.00068155065 0.00012391829 0.0007641628 0.002065305 0.0014870196 0.00043371404 0.00020653049 0.0006402445 0.001280489 0.00028914268 0.0019826926 0.00045436708 0.010553708 0.002891427 0.005886119 0.009087342 0.00921126 0.0006195915 0.005865466 0.0077655464 0.0015283256 0.0023544477 0.00041306097 0.0006195915 0.07996861 0.00041306097 0.0021685702 0.0010739586 0.0039240792 0.0003304488 0.0019000806 0.00049567316 0.0013837543 0.00082612195 0.00041306097 0.0005369793 0.0014044073 0.00030979575 0.00045436708 0.000846775 0.00024783658 8.26122e-05 0.00045436708 0.00024783658 0.00090873416 0.00043371404 0.00024783658 0.00030979575 0.0007228567 0.0005369793 0.00028914268 0.00022718354 0.019496478 0.0019413866 0.00045436708 0.0022924885 0.0014663665 0.00049567316 0.00043371404 0.00022718354 0.002085958 0.003345794 0.00039240794 0.00039240794 0.0006402445 0.00039240794 0.0027262026 0.0014663665 0.003366447 0.0007641628 0.0006402445 0.0011359177 0.002891427 0.000846775 0.0011772239 0.028996881 0.04347826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018703295 0.00022291101 0.0005838145 0.00016983696 0.00045643683 0.00026537024 0.00047766644 0.00021229619 3.184443e-05 4.245924e-05 3.184443e-05 7.4303665e-05 5.3074047e-05 0.00012737772 0.000106148094 0.00018045177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012684697 0.00019106657 0.0006475034 0.00019106657 0.00066873303 0.00067934784 0.00023352582 0.0003184443 0.0013056216 6.368886e-05 8.491848e-05 6.368886e-05 0.0039380942 6.368886e-05 0.0003078295 0.00029721466 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01198412 0.002282184 0.0033648948 0.0014966882 0.003343665 0.004139776 0.0016665251 0.0018788213 0.008056641 0.00040336276 0.00038213315 0.0005201257 0.021346383 0.0007324219 0.0012525476 0.0023671025 0.11799423 0.025390625 0.034179688 0.014903193 0.026664402 0.04159944 0.01639988 0.017917799 0.072658375 0.004564368 0.0046599014 0.0065387227 0.08508831 0.0062308935 0.018193783 0.02875552 0.066724695 0.022705078 0.027556047 0.01171875 0.016644021 0.026643172 0.014797045 0.012971298 0.045473844 0.0034922725 0.0036621094 0.0046492866 0.0323964 0.0054453975 0.010869565 0.020337975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 5.7905407 857.0 0.033838972 0.0011668612 0.0 0.0011668612 0.11435239 0.015169195 0.0 0.0035005833 0.014002333 0.0011668612 0.0 0.015169195 0.009334889 0.0 0.0070011667 0.0 0.0070011667 0.0 0.0 0.0023337223 0.0046674446 0.0 0.0011668612 0.0023337223 0.010501751 0.0046674446 0.0011668612 0.0046674446 0.0058343057 0.0 0.0011668612 0.0 0.015169195 0.008168028 0.0023337223 0.0011668612 0.033838972 0.0 0.008168028 0.0023337223 0.0023337223 0.010501751 0.0 0.0 0.024504084 0.0046674446 0.0023337223 0.0023337223 0.078179695 0.07934656 0.033838972 0.058343057 0.010501751 0.025670946 0.026837807 0.03267211 0.0023337223 0.021003501 0.0 0.021003501 0.0070011667 0.01983664 0.01983664 0.01983664 0.0035005833 0.0070011667 0.0011668612 0.0058343057 0.0058343057 0.0046674446 0.0058343057 0.0011668612 0.03150525 0.0046674446 0.01983664 0.0011668612 0.0058343057 0.0035005833 0.0058343057 0.0046674446 0.0058343057 0.0046674446 0.008168028 0.0035005833 0.012835473 0.0046674446 0.0 0.0023337223 0.0035005833 0.0023337223 0.0 0.0 0.0046674446 0.0 0.0 0.0 5.285848 0.0 0.0 0.0 1.0 48419.0 3878912.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1427451100.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2445312.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -749568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2445312.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2898073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -101466.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 542569.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -774924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2441436.0 0.0 1796.0 0.0 0.0 0.0 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 7625.0 2984352.0 200.0 2978400.0 1796.0 3772416.0 0.0 0.0 0.0 0.0 98544.0 3776512.0 28.0 2451568.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2819800.0 0.0 0.0 1248.0 2449408.0 0.0 0.0 0.0 0.0