Input: 0.147402 0.018220464 0.01078945 0.008748645 0.011067767 0.0035232815 0.003721999 0.0032472224 0.010254832 0.0022446031 0.002465902 0.0034216647 0.00788716 0.0021119367 0.0019504788 0.0111987395 0.02543921 0.0023326708 0.0012950501 0.0055736834 0.008084184 0.0037654683 0.0026471186 0.0027634134 0.0063815373 0.0032060111 0.0010805257 0.0011364149 0.0034549725 0.000855275 0.0011081881 0.0017139373 0.00805765 0.0011177852 0.0010359272 0.0014717506 0.023150574 0.0012815013 0.0013605366 0.00093148765 0.0029530982 0.0008676949 0.0010957682 0.0021717777 0.0025009033 0.0026132462 0.0013023891 0.00088237284 0.0044141226 0.0028023666 0.0027216377 0.010106923 0.0033471456 0.0023354937 0.0020221751 0.0019205582 0.0032302863 0.002460821 0.0022892016 0.003618124 0.003038908 0.0025031613 0.001902493 0.0026815555 0.004140886 0.0032658523 0.0020289496 0.0026962333 0.008657754 0.0056871558 0.0036446573 0.0020690318 0.0026341341 0.001440701 0.0009614082 0.001063025 0.0052801236 0.003031569 0.001887815 0.0013396486 0.007650054 0.0022451675 0.0015598184 0.0046839714 0.0036587706 0.0037846626 0.005625621 0.004213147 0.0016450636 0.0018353129 0.00071414054 0.0025821968 0.0029316458 0.0031309277 0.0041561285 0.005896599 0.001746116 0.004391541 0.001494332 0.0035633638 0.0039534597 0.007189391 0.0030880228 0.0018612817 0.009192372 0.0047906693 0.0068461522 0.0013057763 0.0043480718 0.002542679 0.0042735524 0.0039585405 0.0037575648 0.0010539924 0.008193704 0.0048386552 0.015868599 0.008225883 0.0023433971 0.0017523259 0.0018765243 0.0019640275 0.000802773 0.0012685169 0.002882531 0.0013537621 0.0016546608 0.0012261765 0.0027216377 0.0020633864 0.0010359272 0.017401319 0.0042521 0.010830097 0.001507881 0.0008959218 0.0027233313 0.010147571 0.001686275 0.032834657 0.0015829646 0.006850668 0.0010669768 0.0006881718 0.0014243294 0.00058203866 0.000557199 0.0005978457 0.0013667465 0.00088067923 0.0006881718 0.0005769578 0.0011454476 0.0007389802 0.0004950998 0.0005306657 0.0011234306 0.0006153464 0.0005007452 0.000994716 0.001361101 0.0012521453 0.0005684898 0.0007519646 0.001263436 0.00056961883 0.00051655225 0.0004934062 0.0010737512 0.0006017975 0.0007474483 0.0007000271 0.0012306928 0.00060970103 0.0005916358 0.000646396 0.0016360311 0.00068139733 0.00052727846 0.0006655903 0.0011618192 0.001009394 0.0033341614 0.0009523756 0.0036390119 0.0011183497 0.0008264836 0.0006379279 0.0012171438 0.0008710821 0.0009981032 0.0008947927 0.009664326 0.0075845676 0.0023496072 0.0068455874 0.010682188 0.0011725454 0.002403238 0.0044372687 0.0032619005 0.002044192 0.0016461927 0.0013594074 0.01944551 0.0010274592 0.0014463463 0.0012126276 0.0024190452 0.0016828877 0.0014152967 0.00094164937 0.0011866589 0.00070115615 0.0010506052 0.0007982567 0.0022767817 0.0011589965 0.00091624516 0.001590868 0.0013419067 0.00081970915 0.00093092315 0.0008428552 0.0023332355 0.0013125509 0.000862614 0.00079599855 0.001702082 0.0011934333 0.0007717234 0.00071018876 0.01708066 0.002557357 0.00088914734 0.003394567 0.002111372 0.0010652832 0.00083438715 0.00092753593 0.0031484284 0.0012933565 0.0010133457 0.0008648722 0.0014536853 0.00070680154 0.0028418843 0.0021373408 0.0038473264 0.0021283082 0.0018398293 0.0016015943 0.0029451947 0.002206779 0.004272423 0.03520967 3.390842e-06 0.0 5.6514034e-07 1.695421e-06 1.1302807e-06 2.2605614e-06 0.0 0.0 0.0023148148 0.0 0.0 0.0 0.0 0.0 0.0 0.00056966144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015934132 6.3578285e-05 5.9339736e-06 1.9779911e-06 3.9559823e-06 2.5431316e-06 1.4128508e-06 7.685908e-05 0.0004993015 1.9779911e-06 3.9559823e-06 1.9779911e-06 3.1082718e-06 1.1867947e-05 3.1082718e-06 3.9842394e-05 0.0 0.0 0.0 0.0 5.6514034e-07 0.00010455096 0.0 0.0 0.0004622848 0.0 0.0 2.5431316e-06 4.5211227e-06 4.2385527e-06 0.0 0.0 0.0012486776 0.0003173263 2.9952438e-05 2.5996456e-05 6.781684e-06 6.2165436e-06 5.6514034e-07 3.362585e-05 1.3563368e-05 4.8036927e-06 1.1302807e-06 1.1302807e-06 5.651403e-06 5.6514034e-07 1.4128508e-06 3.8712114e-05 0.0075466014 0.0011901855 0.00043261494 0.000106528954 9.918213e-05 6.4426e-05 7.346825e-05 0.0001732155 9.211787e-05 1.864963e-05 5.086263e-05 4.4363518e-05 0.00017801921 3.2213e-05 2.9952438e-05 0.00028426558 0.013968574 0.0010545519 0.0008378205 0.0006807115 0.0006552802 0.000293873 0.0017787792 0.002061067 0.00044646088 0.0001534356 0.00012941714 0.00054394756 0.00041820385 0.0001401548 0.00047895644 0.00066432246 0.017588863 0.0014281096 0.0016538831 0.0005445127 0.0008821841 0.0006233498 0.004269918 0.004260028 0.00029302525 0.00022153501 0.0002992418 0.00053660077 0.0005182337 0.0005340576 0.0005894414 0.0010579427 0.013406541 0.0018641154 0.0018061885 0.0006637573 0.0014264142 0.0017525002 0.00848643 0.00477148 0.00016784668 0.00017208523 0.00034982187 0.00037214492 0.00037384033 0.00027211508 0.00031478316 0.00083697285 0.019617999 0.0060470016 0.002027441 0.001322711 0.0028282448 0.0030489322 0.009758561 0.0054188482 0.0008867052 0.00033654107 0.0003438879 0.00047387017 0.00057898625 0.00033456308 0.00030743633 0.0010664198 0.012639929 0.003382365 0.0023040771 0.0020144428 0.0025061148 0.0016815751 0.0065101343 0.003658436 0.00031676117 0.00022096987 0.00025063974 0.00021362305 0.00038231743 0.00028850415 0.00021136248 0.0004557857 0.012098807 0.004535816 0.0026146218 0.017980222 0.0027273672 0.0023145322 0.0050057303 0.0031565914 0.001556114 0.0013908104 0.0013967444 0.0012842814 0.0015903049 0.0013453165 0.0012947365 0.0016292996 0.008865356 0.002075478 0.0013526634 0.0020203767 0.0016315602 0.0014264142 0.0012676098 0.0013018007 0.004052904 0.0005843551 0.0005908542 0.0008160626 0.0041354145 0.00094802293 0.0013300577 0.0029019956 0.06737405 0.019270437 0.016222354 0.009821856 0.016458865 0.01751285 0.010313246 0.012628908 0.039314836 0.0029658566 0.0027683398 0.0065067434 0.0305529 0.0052764327 0.012720461 0.020222416 0.06611972 0.026897855 0.020883631 0.013366699 0.018045213 0.024966205 0.014271206 0.0189014 0.04535788 0.0042504203 0.00429987 0.0068489355 0.035377502 0.008328473 0.018721404 0.033317283 0.00612273 0.0027129562 0.0026202733 0.0028240064 0.0025665849 0.0025208085 0.0027641014 0.0026089703 0.002571106 0.0024880304 0.0024761623 0.0025157223 0.0025140268 0.0025476527 0.002550761 0.004471108 12385.0 13.752604 170326.0 0.039318718 0.0016556486 0.0011507345 0.0012622853 0.015112197 0.0027476721 0.0010802813 0.0016262931 0.0043446096 0.0016791329 0.0011272501 0.0012622853 0.0036400785 0.014296114 0.0052017896 0.0015910666 0.0116247665 0.013063185 0.012135552 0.012458462 0.009329169 0.008683348 0.007603067 0.0059474185 0.0092645865 0.008425021 0.006892665 0.0052076606 0.0072038327 0.006088325 0.0053250827 0.00574193 0.004426805 0.011313599 0.0038866643 0.01191245 0.011272501 0.010280286 0.0034404611 0.0037633714 0.004919977 0.006105938 0.0007749844 0.0031821332 0.008072754 0.0043739653 0.006047227 0.004209575 0.0136620365 0.0019726877 0.0063466527 0.016709134 0.008994516 0.0045207427 0.005671477 0.004550098 0.0038162114 0.002242758 0.0009041485 0.00268309 0.006957247 0.0027241877 0.002865094 0.031163769 0.0023719221 0.034222607 0.00863638 0.02907953 0.024811244 0.061065253 0.009716661 0.011771544 0.012534786 0.039571173 0.012980989 0.0059415475 0.023419796 0.014718833 0.03347698 0.03176262 0.020043915 0.0019139767 0.036283363 0.034480937 0.04969294 0.014043657 0.0075560985 0.0043680943 0.0058887075 0.010203962 0.0013797071 0.0070159575 0.002800512 0.0006810469 0.00089240633 0.0008160821 5.9092417 3.0 35.0 0.0 11.0 1771360.0 1765376.0 1.0 45.0 158.0 1.0 1.0 1.0 1.0 0.0 1541430900.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 1136640.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -60416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 503296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1136640.0 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 -6.624114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0800853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9673023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.66087 0.0 4.211934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 503244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1136278.0 0.0 1288.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 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 -1.0 0.0 0.0 -1.0 -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 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 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 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 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 2.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1364.0 1640816.0 160.0 1642180.0 1288.0 1699840.0 0.0 0.0 29536.0 1741824.0 60292.0 1703936.0 112.0 1625984.0 0.0 0.0 0.0 0.0 24.0 1626256.0 64.0 1626096.0 0.0 0.0 660.0 1142784.0 0.0 0.0 0.0 0.0


Input: 0.12513457 0.0499604 0.10285241 0.10563023 0.069309026 0.102392964 0.12536332 0.08886334 0.0013437347 0.0007535679 0.00075741264 0.0007304995 0.00096118357 0.00086698757 0.0008150837 0.0013571912 0.0009880967 0.0008419968 0.0006978193 0.0008189284 0.0010765255 0.0012553057 0.00078432576 0.0006901298 0.00077471393 0.00072857714 0.000738189 0.00085160864 0.00086890993 0.00079393765 0.00070550875 0.00065168244 0.0011226624 0.00090159016 0.0008073942 0.00070550875 0.0020415538 0.0008650652 0.0006843627 0.00065744953 0.00072281004 0.0006747509 0.00090735726 0.00095733884 0.00076125737 0.00079009286 0.0007266548 0.0008093166 0.00077471393 0.00087467703 0.0007439561 0.00075741264 0.0008016271 0.0008150837 0.0006843627 0.0006536048 0.00079970475 0.0010688361 0.00088044413 0.00089582306 0.00070550875 0.00082277315 0.0008093166 0.0010380782 0.0009765625 0.00087467703 0.00071704295 0.0007920152 0.0014283188 0.0028297245 0.00088428886 0.0044502798 0.0020915354 0.0008823665 0.0007151206 0.0007208877 0.0010611466 0.0012629952 0.0006709061 0.0007439561 0.000911202 0.0007247324 0.0018397054 0.00078048103 0.001041923 0.0009707954 0.0009996309 0.0020511658 0.00088621123 0.0008131613 0.0006093904 0.0006382259 0.00078048103 0.00082277315 0.000701664 0.0007708692 0.000926581 0.00096310594 0.00091696915 0.0007439561 0.0008650652 0.0011476532 0.00119379 0.0008304626 0.0009496494 0.000947727 0.0008189284 0.0007266548 0.000911202 0.00066129427 0.0008381521 0.00094003754 0.0008650652 0.000926581 0.0010400006 0.0006920522 0.0010957492 0.0009919414 0.0009938638 0.0018051027 0.000853531 0.0009438823 0.00061707984 0.00055364176 0.0008073942 0.0007439561 0.00065168244 0.00088621123 0.0008362297 0.00095733884 0.0008150837 0.0010284664 0.0013322004 0.0012245479 0.00072281004 0.000759335 0.0008496863 0.0022261012 0.000853531 0.002660556 0.0011207401 0.0011438085 0.0007035864 0.00067667325 0.00094580464 0.0012918307 0.0012187808 0.0011861005 0.0010207769 0.00084584154 0.000911202 0.0008765994 0.0009861743 0.00079586 0.00085160864 0.0011284295 0.0008266179 0.00075741264 0.00074011134 0.0008035495 0.000984252 0.0007766363 0.0006901298 0.0006593719 0.00074587844 0.0006093904 0.0008439192 0.0007862481 0.0007420337 0.0007535679 0.0009919414 0.0007977824 0.0008381521 0.0007304995 0.0006209246 0.0005363404 0.00078048103 0.00076125737 0.00072281004 0.0006266917 0.00086890993 0.0010534571 0.00076702447 0.0008208508 0.00087852177 0.0009592612 0.0006709061 0.000738189 0.0007977824 0.0008189284 0.00079009286 0.00085737574 0.0010822926 0.0009246586 0.00089005596 0.0010303888 0.001136119 0.0009035125 0.00104769 0.001063069 0.0008977454 0.0007766363 0.00087275467 0.0008189284 0.0011284295 0.000665139 0.00086122047 0.0009323481 0.0010034756 0.0008266179 0.00074587844 0.0009323481 0.0008650652 0.00079970475 0.0009150467 0.0006862851 0.00096310594 0.0008131613 0.0008131613 0.0007651021 0.0012014795 0.000832385 0.0009592612 0.0006324588 0.00077855866 0.0007881705 0.0007439561 0.00068244035 0.00083430734 0.0007535679 0.0008765994 0.0007266548 0.00069397455 0.0010611466 0.0010592242 0.0010073204 0.0009092796 0.00078048103 0.00086314284 0.0008304626 0.0008016271 0.0007708692 0.0008381521 0.0009246586 0.00096695067 0.00065168244 0.0006978193 0.00087852177 0.0009919414 0.00090159016 0.0007977824 0.00089005596 0.0008881336 0.00092273625 0.0013437347 0.003529466 0.6153124 4.815397e-06 4.815397e-06 5.7784764e-06 9.630794e-07 3.8523176e-06 3.8523176e-06 8.667715e-06 7.704635e-06 5.7784764e-06 1.9261588e-06 7.704635e-06 6.741556e-06 4.815397e-06 3.8523176e-06 9.630794e-07 0.013258714 3.370778e-05 2.985546e-05 4.1412415e-05 4.2375494e-05 3.467086e-05 2.985546e-05 3.7560098e-05 3.5633937e-05 3.6597015e-05 3.081854e-05 3.178162e-05 4.430165e-05 3.467086e-05 4.719089e-05 3.7560098e-05 0.0073839296 4.1412415e-05 3.178162e-05 2.5040064e-05 4.622781e-05 2.985546e-05 4.1412415e-05 3.9486255e-05 3.7560098e-05 3.467086e-05 1.8298508e-05 2.5040064e-05 4.5264733e-05 2.6003143e-05 3.081854e-05 3.2744698e-05 0.0070160334 5.3932446e-05 4.719089e-05 5.008013e-05 6.0674003e-05 5.1043207e-05 0.00013386803 0.00011364337 5.2006286e-05 4.1412415e-05 4.2375494e-05 4.622781e-05 3.467086e-05 4.430165e-05 5.5858603e-05 4.622781e-05 0.0134445885 0.00015120347 0.00015312963 0.00017046505 0.0002243975 0.00014349882 0.00013001572 0.00015987118 0.00012808955 0.00017624353 0.00015024039 0.00016468657 0.00016083426 0.00012327416 0.00014253575 0.00015601885 0.008049417 0.00011075413 0.00010690181 0.00010882797 0.00020802514 9.630794e-05 9.9197176e-05 0.00011845877 0.000105938736 0.00019261587 9.245562e-05 0.00010401257 0.0001165326 0.000117495685 0.000105938736 0.00012905264 0.019629484 0.00031492696 0.00038619482 0.00042279184 0.00059422 0.00044975808 0.00069823256 0.00048924435 0.00032841007 0.00034767165 0.00031974236 0.0003139639 0.0003544132 0.0003216685 0.00030144386 0.00036885942 0.008618598 0.00014831423 0.000412198 0.00015120347 0.002900795 0.0018934141 0.0012568187 0.0014725483 0.000121348006 0.0001030495 0.00011075413 0.00011364337 0.00011942184 0.000121348006 0.000102086415 0.000105938736 0.009462255 0.00028218227 0.00027351454 0.0002898869 0.00044109035 0.00026773606 0.0002609945 0.00023980677 0.00029181305 0.00036597016 0.00027736687 0.00027351454 0.00030914848 0.00026869914 0.00024173292 0.0002609945 0.01653511 0.0005556968 0.00047576122 0.00047576122 0.0020157252 0.00051909976 0.0005085059 0.0005258414 0.0006471893 0.0017508783 0.0006741556 0.00047479814 0.0006866756 0.0005181367 0.0005971092 0.00065296784 0.012537368 0.00055377063 0.00050561666 0.00059422 0.0016950198 0.0009351501 0.00092551927 0.0009226301 0.0006558571 0.00095248554 0.0006240754 0.00050561666 0.0006327432 0.00055088144 0.00055473374 0.0005229521 0.006551829 0.00044012727 0.000364044 0.00042182876 0.0008792915 0.00068860175 0.00048057662 0.00056243833 0.00041797647 0.00042857032 0.0004256811 0.00042857032 0.00045553656 0.0004526473 0.00040064103 0.00040834566 0.008360492 0.0007483127 0.000825359 0.00069919566 0.0007800943 0.0006770448 0.0005894046 0.00071653107 0.0016969459 0.000740608 0.00059903535 0.0007367557 0.0008426945 0.0007569804 0.00085810374 0.0020686944 0.011134161 0.0012308154 0.0019463834 0.0013232711 0.0017778445 0.0012905264 0.0012905264 0.0013213449 0.003276396 0.0013088249 0.0010988736 0.0013617943 0.0018163677 0.001225037 0.0015168501 0.002583942 0.00917911 0.0014099482 0.0020340236 0.0015640409 0.002571422 0.0017268014 0.0015717456 0.0014426929 0.0032215007 0.001648792 0.0014378775 0.0015187762 0.0021062547 0.0018462231 0.0016950198 0.002501117 0.010589058 0.007194203 0.00653642 0.006790673 0.0068523097 0.0065450873 0.00624557 0.006259053 0.006912021 0.007069966 0.006224382 0.0068272697 0.0073116985 0.0073675574 0.0067550386 0.0069457283 941.0 7.4739637 7033.0 0.006824968 0.0021328025 0.0035546708 0.0027015498 0.005118726 0.002559363 0.0028437367 0.003270297 0.0018484289 0.0028437367 0.0022749894 0.008673397 0.002559363 0.0027015498 0.0073937154 0.0035546708 0.0046921656 0.0028437367 0.0046921656 0.0046921656 0.0038390446 0.0021328025 0.0028437367 0.0031281104 0.004265605 0.0036968577 0.0035546708 0.003412484 0.0027015498 0.0031281104 0.0031281104 0.0046921656 0.0022749894 0.0063984073 0.004265605 0.0056874733 0.005971847 0.09355894 0.00582966 0.1025167 0.09171051 0.00582966 0.0024171763 0.0029859236 0.004407792 0.004123418 0.004265605 0.0018484289 0.005118726 0.003270297 0.08900896 0.005971847 0.004265605 0.0039812312 0.0090999575 0.09626049 0.0048343525 0.003270297 0.0038390446 0.003270297 0.003270297 0.0035546708 0.0028437367 0.003412484 0.004976539 0.009668705 0.006682781 0.006682781 0.006256221 0.016351486 0.007820276 0.0054030996 0.0055452865 0.010095265 0.0039812312 0.0038390446 0.010095265 0.0055452865 0.009810892 0.009810892 0.005118726 0.0063984073 0.012654629 0.0079624625 0.016067112 0.0055452865 0.0035546708 0.08701834 0.0024171763 0.0036968577 0.002559363 0.0019906156 0.0031281104 0.005118726 0.002559363 0.0039812312 5.20667 0.0 0.0 0.0 5.0 520192.0 528384.0 1.0 0.0 40.0 0.0 1.0 0.0 0.0 0.0 1543446900.0 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 491520.0 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 -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 -491520.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4261804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3423114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8049116 0.0 3.568234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6854.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -490024.0 0.0 20460.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4097.0 0.0 260.0 501028.0 3816.0 524288.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 495824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 495616.0 0.0 0.0 0.0 0.0


Input: 0.6733189 0.004282924 0.00242048 0.0022949218 0.0034737724 0.0016462053 0.0008091518 0.00069754466 0.004359654 0.0007533482 0.00085100444 0.0005859375 0.002406529 0.0014090402 0.0005092076 0.0018973214 0.0025669644 0.00042550222 0.0004045759 0.0002720424 0.0017020089 0.0029227121 0.0006068638 0.00032784598 0.0014160157 0.0005022322 0.00047433036 0.00032087055 0.0010742188 0.00055106025 0.00041155133 0.00029296876 0.004248047 0.00044642857 0.00027901787 0.0003766741 0.0063337055 0.0009626116 0.00023716518 0.0002859933 0.000844029 0.00036272322 0.00016043527 0.0009905134 0.0011230469 0.00053013396 0.0004952567 0.00016741072 0.0020438058 0.0010393416 0.0010742188 0.0027064732 0.0014439174 0.0014787946 0.0010393416 0.0010951451 0.0020298548 0.0015485492 0.0013671875 0.00242048 0.0011439732 0.0013253348 0.0008091518 0.0007742746 0.0011648996 0.0011509487 0.00046037947 0.0011928013 0.0030412946 0.0026367188 0.001764788 0.0011230469 0.0011648996 0.00083007815 0.00038364955 0.00034179687 0.0021065848 0.0016113281 0.0006417411 0.00047433036 0.0037876675 0.0016531808 0.0016043527 0.0024902343 0.002218192 0.0015694754 0.0023786272 0.002218192 0.00080217636 0.0013532366 0.0003766741 0.000906808 0.0005371094 0.0009905134 0.0014787946 0.0013044085 0.00047433036 0.001953125 0.00047433036 0.0011928013 0.0021135602 0.0043038502 0.001109096 0.00051618303 0.002811105 0.0018205915 0.0033970424 0.00032784598 0.0021484375 0.00089285715 0.0023228237 0.0021763393 0.0015415737 0.00023716518 0.002532087 0.0018694196 0.006815011 0.0050502233 0.0006347656 0.0005371094 0.0013113839 0.0006626674 0.00026506698 0.0002092634 0.00085100444 0.0007463728 0.0005998884 0.00033482144 0.0011858259 0.00085100444 0.0005440848 0.0053710938 0.0013113839 0.002845982 0.00018136161 0.00016043527 0.0011230469 0.004310826 0.001171875 0.01203962 0.00056501117 0.0030203683 0.000390625 0.000453404 0.003111049 0.00018136161 0.00011858259 0.00026506698 0.0004185268 0.00033482144 0.00015345983 0.00015345983 0.00056501117 0.00035574776 0.00016043527 9.0680805e-05 0.00046037947 0.00014648438 0.00022321429 0.0002999442 0.0012416295 0.002999442 0.0005371094 0.0007393973 0.00041155133 0.0004394531 0.00027901787 0.0004185268 0.00042550222 0.00017438616 0.00020228795 0.00030691965 0.0006068638 0.0002859933 0.00032087055 0.00034179687 0.00055803574 0.00031389509 0.00032784598 0.00035574776 0.00056501117 0.00031389509 0.00053013396 0.00041155133 0.0007045201 0.00062779017 0.00033482144 0.00022321429 0.00030691965 0.00018136161 0.0004185268 0.01070731 0.0031598771 0.0015415737 0.0010184152 0.0021344866 0.0019252232 0.00020228795 0.0008091518 0.0012555803 0.00089285715 0.0013811383 0.00033482144 0.00025809152 0.0012276786 0.00021623884 0.00034877233 0.00027901787 0.00062081474 0.00092773436 0.00055803574 0.0004673549 0.00086495536 0.00036969865 0.0009486607 0.0007393973 0.00072544644 0.00023018973 0.00024414062 0.00044642857 0.00062779017 0.0001046317 0.00018833706 0.00015345983 0.0011579241 0.00033482144 0.00020228795 0.00018136161 0.00053013396 0.00017438616 0.00022321429 0.0002092634 0.003780692 0.0010463169 0.00036272322 0.0018554687 0.0013253348 0.00025809152 0.00032087055 0.00023716518 0.0012765067 0.00031389509 0.00051618303 0.00069056917 0.0032226562 0.0009905134 0.0012207031 0.011418805 0.0020298548 0.0004952567 0.00047433036 0.000453404 0.0025111607 0.0002859933 0.00089285715 0.011467634 0.539484 7.0256297e-06 1.4051259e-05 4.9179405e-05 3.5128148e-06 0.0 0.0 3.5128148e-06 0.0 0.0 0.0 0.0 0.0 3.5128148e-06 3.5128148e-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 0.019752556 7.376911e-05 0.00012997414 5.269222e-05 9.835881e-05 7.7281926e-05 0.00039694807 0.00024238422 7.7281926e-05 4.9179405e-05 0.00013699978 0.00013699978 5.6205037e-05 3.8640963e-05 6.323066e-05 0.00020023044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024203293 0.000115922885 0.00040046088 0.00018617918 0.0004285634 0.00030561487 0.0011346391 0.0006955373 3.512815e-05 0.0001194357 0.00024589704 0.0003512815 5.6205037e-05 3.8640963e-05 4.2153777e-05 0.00041802495 0.011880339 0.00031966614 0.00018617918 9.4846e-05 0.00010187163 8.782037e-05 0.00010538444 0.000112410075 0.00023184577 0.00013699978 0.00018266636 0.00024940984 0.00013699978 0.00016510229 6.674348e-05 0.00033020458 0.015322898 0.00024238422 0.00044261466 0.00013699978 0.0005479991 0.0004039737 0.002104176 0.0010959982 0.0001405126 3.512815e-05 0.00020725607 0.00032669178 5.6205037e-05 8.782037e-05 5.269222e-05 0.000379384 0.0044683004 0.0 0.0006709476 0.00020374326 0.0002388714 0.00013699978 0.0007868705 0.0006463579 1.4051259e-05 3.5128148e-06 0.0 1.0538444e-05 0.0 0.0 3.5128148e-06 1.0538444e-05 0.0048863254 4.9179405e-05 0.000115922885 7.376911e-05 0.00017915355 0.00015807667 0.00022130733 0.00020374326 6.674348e-05 5.6205037e-05 0.00025643548 0.00043207622 9.133318e-05 4.566659e-05 3.8640963e-05 0.00031966614 0.017975073 0.0004285634 0.0012997414 0.0042329417 0.002711893 0.0017458689 0.006846476 0.00404325 0.0006463579 0.0003091277 0.00038992244 0.0005479991 0.00053394784 0.00034425585 0.00032669178 0.0007833577 0.005620504 0.00018617918 0.0014718694 0.000530435 0.0008430755 0.0006885117 0.0016158948 0.0014683566 0.000569076 2.8102519e-05 9.835881e-05 0.00012294852 0.00034074302 0.00019320482 0.0001405126 0.00047071718 0.005687247 0.00049530686 0.00084658834 0.0076895515 0.0013524337 0.000853614 0.0038043784 0.0022025348 0.0004988197 0.0005761016 0.0011276136 0.0012997414 0.00048828125 0.000569076 0.0005023325 0.0007833577 0.0054940423 0.00041802495 0.00059015286 0.00041099932 0.0006568963 0.00044612747 0.001858279 0.00106087 0.00027751236 0.00032669178 0.00043558903 0.00076930644 0.00027048672 0.00032317895 0.0002810252 0.00076930644 0.009091165 0.001686151 0.00096602406 0.0011592289 0.002160381 0.0021498427 0.0012821774 0.002311432 0.004721223 0.0006147426 0.0005023325 0.0012786646 0.0017283049 0.00091684464 0.0015210488 0.0038816603 0.03559184 0.009224651 0.009744548 0.008047858 0.010018548 0.017539484 0.0070080655 0.009716446 0.027189186 0.0039905575 0.0056731957 0.010447111 0.012565338 0.0048230947 0.008613422 0.028439749 0.0010784342 0.0010573573 0.0009941265 0.00062176824 0.0008044346 0.001155716 0.0009133318 0.0004917941 0.00131028 0.0007412039 0.00046369154 0.0009519728 0.00075525517 0.0007131014 0.0006147426 0.0017212792 519.0 13.034682 6765.0 0.037250556 0.0028085737 0.0014781966 0.0010347376 0.0094604585 0.0094604585 0.000443459 0.0007390983 0.0038433112 0.000886918 0.0011825573 0.001773836 0.0063562454 0.006060606 0.006208426 0.0010347376 0.014929785 0.0075388025 0.009164819 0.009756098 0.007095344 0.0079822615 0.0085735405 0.0094604585 0.010051737 0.009756098 0.009756098 0.00872136 0.006504065 0.012712491 0.0054693273 0.0059127863 0.001773836 0.010495196 0.0050258683 0.014486327 0.008425721 0.0088691795 0.006651885 0.011825573 0.005321508 0.007834442 0.000886918 0.001773836 0.01300813 0.008130081 0.0045824093 0.0054693273 0.0172949 0.007834442 0.01286031 0.018329637 0.01330377 0.0085735405 0.008130081 0.014929785 0.0041389503 0.0011825573 0.0007390983 0.0028085737 0.000886918 0.0023651146 0.0019216556 0.0025129342 0.001330377 0.031337768 0.007390983 0.018920917 0.02660754 0.07184035 0.0056171473 0.008425721 0.012416852 0.029563932 0.004878049 0.0038433112 0.028381376 0.0088691795 0.0353289 0.038285293 0.019068737 0.000886918 0.037694015 0.02616408 0.06178862 0.016260162 0.0036954915 0.0054693273 0.014190688 0.008130081 0.0019216556 0.000886918 0.0014781966 0.000886918 0.0007390983 0.0019216556 5.875983 0.0 0.0 0.0 2.0 143360.0 143360.0 0.0 7.0 151.0 1.0 1.0 0.0 0.0 0.0 1138224900.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36864.0 4096.0 4096.0 7.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 8192.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 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 -4.895135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.454833 0.0 0.0 -0.5602317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7464147 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.67968 0.0 3.334902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5172.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 5953.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35914.0 0.0 1544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 241.0 46672.0 80.0 43224.0 1544.0 69632.0 0.0 0.0 0.0 0.0 3096.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 616.0 40960.0 64.0 43128.0 0.0 0.0


Input: 0.1162817 0.011605525 0.0028872283 0.003123113 0.003123113 0.0034344806 0.0029438406 0.0029721467 0.0031797253 0.0028117453 0.0032929499 0.0031797253 0.011416818 0.0029155344 0.002830616 0.011511171 0.0068972674 0.0030853713 0.002906099 0.0029815822 0.0029438406 0.0030570652 0.0030853713 0.0034722222 0.002906099 0.0028494867 0.0027645682 0.0030193236 0.003198596 0.0036514946 0.003123113 0.0036609299 0.0028777928 0.0030381945 0.0032835144 0.003123113 0.011284722 0.0030098883 0.0029910174 0.0026041667 0.0034344806 0.003321256 0.0027268266 0.0025475544 0.0028777928 0.0028211805 0.0029155344 0.0030570652 0.0030853713 0.0030853713 0.002906099 0.0029155344 0.002906099 0.0030759359 0.0031797253 0.0028117453 0.0031419836 0.0030193236 0.002830616 0.0028494867 0.0028777928 0.002830616 0.0028589221 0.0027645682 0.015672177 0.003151419 0.002906099 0.002736262 0.0030476297 0.0027834391 0.0033589976 0.0028966637 0.0030853713 0.002934405 0.0026419081 0.0029155344 0.0027928744 0.0028872283 0.0030570652 0.0030381945 0.0027928744 0.0027740037 0.0027645682 0.0031136775 0.003028759 0.0030004529 0.0028117453 0.0031797253 0.0032646437 0.0030004529 0.0030759359 0.0030948068 0.0029627113 0.0030476297 0.0030759359 0.0029910174 0.0028400514 0.0035005284 0.0029815822 0.0035760114 0.0030759359 0.0039722975 0.0028211805 0.0027834391 0.019201012 0.0030759359 0.006878397 0.0025098128 0.0032080314 0.002632473 0.0027645682 0.0031891607 0.003123113 0.002660779 0.0037458485 0.0028683576 0.003028759 0.0032363376 0.0027645682 0.0028117453 0.0026419081 0.0028117453 0.0025569897 0.0027834391 0.006670818 0.002906099 0.0024909421 0.0025664251 0.0030098883 0.0034533516 0.003689236 0.0076520983 0.0030381945 0.015540081 0.0025003774 0.007029363 0.0030476297 0.0025664251 0.002830616 0.0031325484 0.0028211805 0.0029155344 0.0026041667 0.003123113 0.0026419081 0.0026513436 0.0026041667 0.019333107 0.0029438406 0.0030665006 0.002736262 0.0032363376 0.0028494867 0.002415459 0.0028872283 0.0026513436 0.0030759359 0.0027928744 0.0030004529 0.0028589221 0.002443765 0.0025947313 0.0026230374 0.0029627113 0.0028872283 0.0031419836 0.003151419 0.0030381945 0.0029627113 0.0027740037 0.003321256 0.0026513436 0.002632473 0.0030098883 0.0027268266 0.003491093 0.0027551327 0.0027928744 0.0026985204 0.0029155344 0.0030476297 0.0037458485 0.0026513436 0.0037552838 0.0024343296 0.0029438406 0.0027456975 0.0025852958 0.002736262 0.0030948068 0.0025947313 0.002830616 0.007029363 0.0026419081 0.002632473 0.0030759359 0.0024815067 0.0026702143 0.0027268266 0.0029627113 0.0032174669 0.003198596 0.0028117453 0.0029815822 0.0024720712 0.0027456975 0.0031325484 0.0030098883 0.0022550575 0.0026985204 0.0028023098 0.0025475544 0.0026419081 0.0026419081 0.0026513436 0.0029910174 0.0032552083 0.0029627113 0.0030476297 0.0026230374 0.0029721467 0.0028494867 0.0027740037 0.0027173914 0.0027173914 0.0028777928 0.002830616 0.0029815822 0.0030948068 0.0028211805 0.0025475544 0.0027834391 0.010822388 0.0035005284 0.0027268266 0.0029815822 0.0027173914 0.0026041667 0.0031891607 0.0026985204 0.00292497 0.0026702143 0.003028759 0.0030193236 0.002538119 0.0026702143 0.0031136775 0.002660779 0.0069444445 0.0028966637 0.0028211805 0.0025947313 0.002736262 0.0025286835 0.0027551327 0.011813104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009545419 0.0 3.829657e-05 9.5741425e-06 0.0 9.5741425e-06 5.2657782e-05 0.0 3.35095e-05 3.35095e-05 3.35095e-05 4.7870712e-06 3.829657e-05 0.0 0.0 4.7870712e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0058354395 3.35095e-05 5.2657782e-05 5.2657782e-05 0.00052179076 0.0002154182 0.0015605852 0.00083295035 0.0004978554 1.4361213e-05 3.35095e-05 2.8722427e-05 2.8722427e-05 4.787071e-05 2.3935356e-05 2.3935356e-05 0.0060939416 0.00014839921 0.0002489277 4.308364e-05 0.00035424327 0.0002154182 0.0008473116 0.00019148285 0.00052179076 0.00039253983 3.35095e-05 4.787071e-05 0.00012446386 3.35095e-05 0.0002154182 0.00029201133 0.0057014017 0.00019148285 0.00017712163 0.00017233456 0.00039253983 0.00029201133 0.000809015 0.00057444855 0.00022020527 0.0001819087 0.00019148285 0.00019626992 0.000105315565 0.00020584406 9.574142e-05 0.00029679842 0.045769185 0.0026520374 0.005658318 0.0009143306 0.00784601 0.0010340074 0.010043276 0.0028818168 0.009081074 0.007194968 0.0009239047 0.00069891236 0.002618528 0.00074199605 0.0039972044 0.005787569 0.05656882 0.005859375 0.0072476254 0.0032743567 0.009373086 0.003365311 0.013719746 0.003298292 0.013537837 0.01101505 0.0005792356 0.0007324219 0.0032456343 0.00074199605 0.006122664 0.008377374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.046721812 0.045458026 0.043222465 0.043356504 0.042236328 0.043514475 0.04280599 0.04255706 0.046018112 0.04379691 0.04529527 0.045276117 0.04432828 0.043303844 0.04422775 0.043763403 376.0 6.8457446 2574.0 0.011655011 0.00971251 0.0062160064 0.0054390053 0.01010101 0.01010101 0.008935509 0.007770008 0.007381507 0.008935509 0.0066045066 0.007770008 0.0054390053 0.007381507 0.00971251 0.007770008 0.0066045066 0.005050505 0.01010101 0.0058275056 0.0062160064 0.00971251 0.0058275056 0.008547009 0.008935509 0.0066045066 0.008935509 0.007381507 0.0054390053 0.008935509 0.0046620048 0.0062160064 0.012043512 0.015151516 0.008158508 0.01048951 0.011266511 0.007381507 0.010878011 0.012043512 0.00971251 0.010878011 0.0066045066 0.0054390053 0.008158508 0.011266511 0.008935509 0.007770008 0.007770008 0.006993007 0.007381507 0.0093240095 0.01048951 0.01010101 0.007770008 0.011266511 0.008158508 0.0046620048 0.0058275056 0.008935509 0.007770008 0.005050505 0.008158508 0.01048951 0.0066045066 0.023698524 0.010878011 0.015540016 0.017871018 0.047008548 0.010878011 0.014374514 0.011655011 0.024864025 0.0058275056 0.008547009 0.024475524 0.01048951 0.019813519 0.021756021 0.012820513 0.007381507 0.026418027 0.018648019 0.026418027 0.015151516 0.007381507 0.012043512 0.012432013 0.011655011 0.010878011 0.007770008 0.0058275056 0.007770008 0.0046620048 0.0062160064 6.3998623 0.0 0.0 0.0 2.0 105984.0 118784.0 0.0 0.0 43.0 0.0 1.0 0.0 0.0 0.0 1440707200.0 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 6.0 0.0 5.0 1.0 5.0 1.0 25600.0 1024.0 4096.0 4.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76288.0 0.0 -25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.966292 0.0 -4.7438765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2924382 0.0 0.0 0.0 4.5456443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75815.0 0.0 -25476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1114.0 0.0 0.0 0.0 1272.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 32956.0 1114.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 768.0 0.0 0.0


Input: 0.19302645 0.006145887 0.004153417 0.0030073687 0.0059844716 0.0030729435 0.0028378826 0.002951882 0.0074614217 0.0026916 0.0025826446 0.002398026 0.005211696 0.0029438112 0.0023929817 0.005854331 0.005264156 0.0027420423 0.0025322023 0.0023163094 0.0034028362 0.0028570506 0.0023475836 0.0022164336 0.002776343 0.002378858 0.0022628405 0.0023092474 0.0025463263 0.0022386282 0.0022436725 0.0023879374 0.003559207 0.0022335842 0.002404079 0.0023728048 0.003840675 0.002285035 0.0021770888 0.002281 0.0025089988 0.002089319 0.0021548942 0.0025917243 0.002370787 0.0030608375 0.0024050877 0.0021730533 0.0029034575 0.0023314422 0.0023042033 0.0038174717 0.0023929817 0.0022719202 0.002195248 0.0021448056 0.0025110166 0.0024646097 0.0023021856 0.0032262881 0.0024656185 0.0028146792 0.0022517433 0.0034966588 0.0042300895 0.0033039693 0.0037498788 0.0026633523 0.005900738 0.0143135 0.0028600772 0.0025160608 0.003110271 0.0023142917 0.0025715474 0.0022325753 0.0025402731 0.009237999 0.0024797423 0.002306221 0.005625323 0.004096922 0.0032182173 0.002736998 0.0027854226 0.007426112 0.003298925 0.003005351 0.0025372466 0.003337261 0.0022033188 0.0024525037 0.0023203448 0.0035319682 0.0028842895 0.0028580595 0.0024343443 0.0031183416 0.0024615831 0.0026441843 0.0037670294 0.0037246577 0.0034502519 0.0023990348 0.0034320925 0.0029882006 0.0037801443 0.0022910882 0.0035450833 0.002469654 0.0029306964 0.0032030847 0.002827794 0.002182133 0.0037064985 0.0034532784 0.005676774 0.005090635 0.0024212294 0.0023859197 0.0025876889 0.0024898308 0.002300168 0.00212362 0.0024535125 0.002651246 0.0023758314 0.0024343443 0.0035622336 0.0026038303 0.00220231 0.007099246 0.002828803 0.0053095543 0.0021599384 0.0022043276 0.0029226255 0.010272065 0.0027430512 0.022657663 0.002300168 0.0068480438 0.0021397613 0.0021216022 0.0024293 0.0020681333 0.002122611 0.0022749468 0.0023425394 0.002919599 0.002220469 0.0021579207 0.0023314422 0.0022356017 0.0021357262 0.0021659913 0.0023163094 0.0021337084 0.0021064696 0.0021851594 0.002398026 0.00297105 0.0020721687 0.0026270337 0.002286044 0.0022174425 0.0021508588 0.0021286642 0.0024272825 0.0021841507 0.002182133 0.0021306819 0.002364734 0.00214985 0.0021670002 0.0020731776 0.002522114 0.002213407 0.0020802396 0.0021437968 0.002468645 0.0021710356 0.0031919873 0.0022749468 0.0029549086 0.0022113894 0.0021710356 0.0021740622 0.0023556545 0.002377849 0.0023657428 0.0024091231 0.0047365297 0.0031758458 0.0031637396 0.003665136 0.0037861974 0.0026108923 0.003279757 0.004765786 0.0032262881 0.0028247675 0.0022245045 0.0021891948 0.011358592 0.0021458145 0.0022759556 0.0023233714 0.0028943778 0.0022245045 0.0025160608 0.00212362 0.0026976531 0.002129673 0.002213407 0.0021740622 0.0029892095 0.002292097 0.0020560273 0.002325389 0.0027864315 0.0023173182 0.0022295488 0.0021922213 0.0032837922 0.0023485925 0.0021972656 0.0021094962 0.003057811 0.0029771032 0.0021478322 0.0022174425 0.008841522 0.0032928719 0.0022648582 0.0039869575 0.0057231807 0.002142788 0.0021700268 0.002279991 0.004246231 0.002240646 0.0024010525 0.0022880617 0.0037851885 0.0021569119 0.0025725563 0.0026754583 0.0039607277 0.0025443085 0.0024585566 0.0021730533 0.005323678 0.0023294245 0.0046618753 0.022098761 0.11995863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000890722 1.2118666e-05 6.5642776e-06 9.593944e-06 7.0692217e-06 1.1613722e-05 1.5148333e-05 8.584055e-06 9.593944e-06 1.2118666e-05 9.089e-06 1.11087775e-05 8.079111e-06 1.0098888e-05 5.5543887e-06 7.0692217e-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 0.005884622 0.00012825588 0.00028175898 9.139494e-05 0.00057563663 7.5741664e-05 0.00017269098 0.00011664216 2.7771943e-05 0.00010755316 3.9385664e-05 3.080161e-05 5.4029053e-05 2.171261e-05 7.0692215e-05 0.0005943196 0.011150688 0.00033679794 0.00075438694 0.00021914588 0.0011512733 0.00028680844 0.002061183 0.0010846206 6.412794e-05 0.0001807701 5.604883e-05 6.210816e-05 9.5434494e-05 7.2712e-05 9.290977e-05 0.000945256 0.0053281733 0.00023126454 0.0004978752 0.00013835476 0.0006988431 0.00012068172 0.00071247655 0.0006225965 6.210816e-05 0.00015047344 3.1811498e-05 7.372189e-05 6.210816e-05 5.3019165e-05 7.321694e-05 0.0004504104 0.0075514438 0.00020096787 0.0007619611 0.00045545987 0.0018874822 0.000681675 0.0039188736 0.0020965291 0.000111592715 0.000115127325 0.00012068172 0.00027367988 0.00015754266 5.9583443e-05 0.00011967183 0.00010199877 0.008637074 0.00047919224 0.0008195248 0.00045444997 0.0019566596 0.0005715971 0.0021914588 0.0014188938 0.00027367988 0.0002797392 0.00022217554 0.00024742275 0.00030448148 0.00019339372 0.00021207666 0.0003524512 0.00043223242 0.00013128555 6.5642776e-06 0.00013229543 3.7870832e-05 1.262361e-05 1.1613722e-05 1.11087775e-05 4.241533e-05 1.716811e-05 9.593944e-06 6.5642776e-06 3.8375776e-05 6.059333e-06 6.5642776e-06 0.0001317905 0.009244522 0.0011381448 0.00056149816 0.0008346731 0.0048222193 0.0028721238 0.0011371349 0.0008664846 0.007958934 0.0005286768 0.0005397856 0.00055543886 0.0035856103 0.000726615 0.0027120565 0.0053493814 0.03810462 0.0056483084 0.0035462247 0.004569747 0.018781912 0.013170971 0.004736379 0.005674565 0.031730708 0.0022025676 0.0025408803 0.0035563235 0.017118625 0.0035911647 0.012009093 0.021228872 0.011933351 0.0025120985 0.0016976232 0.002506544 0.0044202833 0.0043637296 0.0021394496 0.0033296035 0.00781149 0.00067157607 0.0010846206 0.0012517573 0.0046475083 0.0017880081 0.003798697 0.0070571033 0.0329658 0.032029632 0.03159841 0.03252246 0.03204731 0.032203335 0.03157569 0.03196197 0.03194935 0.031915013 0.031914003 0.032051347 0.031723134 0.031677183 0.031991765 0.031766053 3052.0 8.730668 26646.0 0.024769196 0.0049538394 0.0047286646 0.006042183 0.012009307 0.0047661937 0.005291601 0.0076184045 0.0054041883 0.005291601 0.0059671244 0.0045785485 0.0054792464 0.005817008 0.011371313 0.005817008 0.0072055846 0.006229828 0.0076559335 0.0054792464 0.00615477 0.0053666593 0.0060046534 0.006042183 0.0052165426 0.00656759 0.007092997 0.006605119 0.0072806426 0.0073181717 0.006455003 0.01268483 0.03201231 0.011333784 0.0055167754 0.008556631 0.008031224 0.006792764 0.0077685206 0.007543346 0.0072055846 0.00656759 0.0049538394 0.00574195 0.006605119 0.00656759 0.006042183 0.0049163103 0.012572244 0.007017939 0.0077685206 0.008669219 0.008331457 0.007543346 0.01272236 0.010057795 0.008256399 0.006342415 0.007881108 0.0058920663 0.006229828 0.0059671244 0.006680177 0.015124221 0.006492532 0.028597163 0.014223523 0.02127899 0.019027246 0.041769873 0.010395557 0.010996022 0.008519102 0.026307888 0.007468288 0.0069053518 0.023906028 0.012009307 0.024769196 0.03696615 0.012872476 0.0058545372 0.028184343 0.028559634 0.038654957 0.014561285 0.007993695 0.0068678227 0.009644975 0.009945207 0.0060046534 0.005291601 0.006192299 0.0056293625 0.0063799443 0.005254072 6.2686462 0.0 0.0 0.0 15.0 991232.0 1003520.0 1.0 0.0 75.0 0.0 1.0 0.0 1.0 0.0 1542371800.0 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 14.0 15.0 6.0 0.0 6.0 0.0 273920.0 1024.0 4096.0 4.0 0.0 0.0 2.0 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 79360.0 0.0 0.0 0.0 0.0 0.0 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 -273920.0 0.0 628736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9815884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4852347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3397636 0.0 7.1213493 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79162.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273914.0 0.0 628440.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 40.0 355952.0 5848.0 372736.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 332016.0 0.0 0.0 0.0 0.0 24.0 332208.0 64.0 332048.0 0.0 0.0 304.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.105142385 0.007587334 0.006897921 0.0057695615 0.0054356074 0.0071028476 0.0033774895 0.004861308 0.005635474 0.00528634 0.0056177643 0.002895533 0.0045551835 0.0026463326 0.0029954663 0.00446284 0.008499383 0.0039366093 0.0026374778 0.0027500608 0.011568218 0.006808108 0.0022503948 0.002125162 0.0032813512 0.002679222 0.002741206 0.002175761 0.0034382085 0.0027083165 0.0025261596 0.0043401374 0.004241469 0.002848729 0.0020530582 0.0026438027 0.0036570495 0.0019379453 0.002346533 0.002452791 0.008260302 0.0029916714 0.0024717657 0.0020960674 0.002109982 0.00223142 0.0031384088 0.0024123117 0.0031371438 0.0023326182 0.0022655744 0.0033294202 0.004130151 0.0023313533 0.0019075858 0.001783618 0.0031396737 0.0020897426 0.002895533 0.002397132 0.0035862108 0.0026691023 0.0039517893 0.0051535177 0.016010819 0.0041250912 0.003225692 0.0028727634 0.0028841484 0.009083802 0.0023111135 0.003395199 0.0032092475 0.0030814847 0.0034521231 0.0035495264 0.002345268 0.004800589 0.002075828 0.0033736946 0.010256437 0.012764886 0.0057189623 0.003459713 0.0030523904 0.004030218 0.0027222312 0.0030991945 0.002560314 0.0016419406 0.0026944017 0.0021782909 0.0023262934 0.0022718993 0.001735549 0.0028841484 0.0031042544 0.003983414 0.002065708 0.0033091807 0.002960047 0.004298393 0.0032446668 0.0022845492 0.0058252206 0.004408446 0.0043401374 0.0025312197 0.0030422704 0.002849994 0.0031637084 0.0033711647 0.004402121 0.0021997956 0.0038784205 0.002634948 0.0050599095 0.003022031 0.0022250952 0.0022617795 0.0027108465 0.0025350146 0.0024072519 0.0019151757 0.0020201688 0.0042515886 0.0024856804 0.005526686 0.0057948614 0.0029992613 0.0026463326 0.00446537 0.0027715652 0.0076809423 0.0019683046 0.0025223647 0.0032775563 0.0063894005 0.0064589744 0.009040793 0.0021163072 0.0105309365 0.0025476643 0.0031371438 0.003845531 0.0028765583 0.002280754 0.0021669061 0.0033585147 0.0038683007 0.0018531918 0.002058118 0.0024186366 0.002853789 0.0020302886 0.0016115811 0.002177026 0.0023844822 0.0022402748 0.0036709642 0.005658244 0.0035343466 0.0055077113 0.0028740284 0.003393934 0.0034027891 0.0022238302 0.0030448004 0.0032623766 0.0027601805 0.0021529915 0.0022453347 0.0023629777 0.0026615122 0.0018291572 0.002342738 0.0033281553 0.0017760282 0.0016343507 0.0016027263 0.0034179688 0.0020214338 0.0018860812 0.0022465996 0.0038164365 0.0018911411 0.0018405421 0.002292139 0.0019493301 0.0025046552 0.0018266273 0.0026020585 0.004846128 0.0024224315 0.0023338832 0.0025514592 0.0032143074 0.002059383 0.0018683715 0.004542534 0.0025906735 0.0016938046 0.0018734314 0.0016520604 0.0032838811 0.0014585189 0.002059383 0.0027095815 0.0041023213 0.0024970653 0.0030422704 0.002681752 0.0033180355 0.0023262934 0.0030612452 0.002170701 0.0024414062 0.0015331525 0.0019442701 0.0029866116 0.0026298878 0.0018683715 0.001735549 0.0019834845 0.0033041209 0.002741206 0.0031548534 0.0023958671 0.0025413395 0.0019758947 0.001730489 0.0030384755 0.0035507914 0.002842404 0.0033888742 0.0027639754 0.002574229 0.0021669061 0.0023073186 0.00195439 0.004347727 0.0021023923 0.0022453347 0.003013176 0.0038961302 0.0034837476 0.0017153092 0.0030144409 0.003471098 0.0037152385 0.004710776 0.0020302886 0.00529646 0.0037455978 0.009005373 0.041116823 0.0064850845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012292528 6.33309e-07 0.0 6.33309e-07 0.0 2.533236e-06 0.0 7.599708e-06 2.533236e-06 0.0 0.0 0.0 6.33309e-07 0.0 0.0 5.3197957e-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 0.0011766881 1.899927e-05 1.39327985e-05 6.9663993e-06 1.2666181e-05 7.599708e-06 1.899927e-05 1.7099343e-05 0.0 3.1665452e-06 1.266618e-06 3.799854e-06 3.799854e-06 6.33309e-07 3.1665452e-06 8.233017e-06 0.0032089767 9.056319e-05 2.0899197e-05 3.4198685e-05 0.00016972682 1.963258e-05 6.0164355e-05 5.193134e-05 6.966399e-05 1.2032871e-05 1.3299489e-05 3.166545e-05 1.6466034e-05 8.866326e-06 4.5598248e-05 3.7365233e-05 0.0041076425 0.000107662534 1.5199416e-05 2.4699051e-05 0.00025269028 1.5832726e-05 1.0766254e-05 9.372974e-05 0.00012286195 1.7732653e-05 4.496494e-05 1.2032871e-05 3.2298758e-05 1.963258e-05 7.283054e-05 0.00023749088 0.010609193 0.0003502199 0.00010956246 0.0001196954 0.0009436304 0.00018112638 0.00034135356 0.00031855443 0.00026852303 8.6763335e-05 0.00012602849 0.00018239299 8.992988e-05 3.4198685e-05 0.00015769394 0.00034831997 0.006979699 0.0002545902 7.916363e-05 9.246312e-05 0.0007935362 9.309642e-05 0.00014122791 0.00026155662 0.00023369103 0.000120962024 9.246312e-05 9.372974e-05 0.00011146239 4.9398102e-05 0.00020265889 0.0007764369 0.006902435 0.0021367846 0.00040975094 0.00060861 0.0022944785 0.0020721871 0.0018467291 0.0010956246 0.00027802266 7.853032e-05 2.0265888e-05 8.2330174e-05 0.00010956246 1.6466034e-05 0.00013109496 0.0013723806 0.010621859 0.0005560453 0.0013616143 0.002424307 0.0011443894 0.0008663667 0.0059157396 0.0033058731 0.0003172878 0.00013489481 0.00012982835 0.0005421125 0.00017415998 7.093061e-05 0.00017479328 0.0007941695 0.0061164983 0.00028372245 0.0005680782 0.0008087356 0.0007251388 0.0003369204 0.002582634 0.0012887839 0.0001817597 0.00015769394 0.00010386268 7.156392e-05 0.00012476188 7.093061e-05 0.00012412856 0.00072197226 0.007759302 0.00043824984 0.0005085471 0.0007751702 0.0012127868 0.0004844814 0.0016003719 0.0007783368 0.00073970493 0.00051361363 0.00028372245 0.00025015706 0.00062064285 0.00020075896 0.00026029 0.0017321002 0.01511962 0.003496499 0.0017985976 0.0015015757 0.003592762 0.0037821215 0.003976547 0.0020854867 0.0072311223 0.001899927 0.00091703143 0.001283084 0.0019505918 0.0008929657 0.0010873916 0.012938503 0.019156964 0.007082928 0.0023831418 0.00225648 0.008408444 0.009156382 0.0039271493 0.002141851 0.015162684 0.0033039732 0.0020690206 0.0026617977 0.0032165765 0.0023983412 0.0020405217 0.018395094 0.020015098 0.008244417 0.004064577 0.00355793 0.008827061 0.008886592 0.005445824 0.0032292427 0.010999311 0.0038049205 0.0041139754 0.0030582491 0.0038359526 0.0036446934 0.0032020104 0.010128511 0.0598382 0.041469075 0.036608428 0.034942824 0.04149694 0.037566625 0.02896692 0.034907993 0.03883704 0.031611618 0.041403845 0.028407076 0.030922579 0.032966267 0.034980822 0.0494836 3347.0 10.899014 36479.0 0.009320431 0.0031799118 0.0030428467 0.0073192795 0.00452315 0.0037007593 0.0033718029 0.0030154334 0.005948628 0.0054277806 0.004605389 0.002549412 0.00243976 0.0062775845 0.03009951 0.01589956 0.008826996 0.008689932 0.015077168 0.00995093 0.005263302 0.0060856934 0.00605828 0.005290715 0.0061405194 0.0057019107 0.0055648456 0.0027961293 0.027166314 0.0032073248 0.027221141 0.0032073248 0.004111955 0.0071273884 0.0054003675 0.010828148 0.005290715 0.0066339537 0.0072096274 0.0071548014 0.004221607 0.009210778 0.004440911 0.0027138903 0.008525453 0.007730475 0.0035911072 0.005838976 0.0104991915 0.0034266291 0.0067161927 0.008881822 0.009375257 0.004577976 0.0054551936 0.0037007593 0.004221607 0.0032895638 0.004358672 0.0026864773 0.0032621508 0.0037007593 0.0017270211 0.010225061 0.002576825 0.04205159 0.010115409 0.025905315 0.016228516 0.056388605 0.009813866 0.017242797 0.008635106 0.039008744 0.008717344 0.017928123 0.023739686 0.019243948 0.02765975 0.027221141 0.028783685 0.004111955 0.03862496 0.01609145 0.04909674 0.007894954 0.0065243016 0.008909236 0.004440911 0.017982949 0.0030702597 0.002604238 0.0022204556 0.007730475 0.0029057814 0.0034266291 6.0241623 4.0 8.0 0.0 6.0 790528.0 811008.0 0.0 0.0 68.0 0.0 1.0 0.0 0.0 0.0 1274713600.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 778240.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -778240.0 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 -7.455161 0.0 3.2991347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -778128.0 0.0 2240.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 780772.0 2240.0 806912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 296.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.53125 0.0054129465 0.0020089287 0.0010602679 0.006919643 0.0015625 0.0010602679 0.0025669644 0.0018415179 0.0012276786 0.0017299107 0.0006696429 0.00033482144 0.00055803574 0.001171875 0.0009486607 0.002232143 0.00072544644 0.0011160715 0.0009486607 0.0012834822 0.0010044643 0.00078125 0.0006696429 0.00072544644 0.00044642857 0.00022321429 0.00027901787 0.00022321429 0.00016741072 0.000390625 0.00033482144 0.022377232 0.00055803574 0.0005022322 0.000390625 0.0006696429 0.000390625 0.00033482144 0.00022321429 0.012611607 0.012388393 0.00011160714 0.00016741072 0.0008370536 0.0025111607 0.0012276786 0.00016741072 0.0015625 0.0013392858 0.0011160715 0.000390625 0.00033482144 0.00055803574 0.000390625 0.0005022322 0.0011160715 0.000390625 5.580357e-05 5.580357e-05 0.00016741072 5.580357e-05 5.580357e-05 0.00011160714 0.00055803574 0.0058035715 0.0063058035 0.007421875 0.005078125 0.0045200894 0.0014508929 0.0022879464 0.0010602679 0.009598214 0.0015066965 0.003013393 0.002232143 0.0058035715 0.0018415179 0.0025669644 0.0025669644 0.0 0.0016741072 0.00703125 0.0026227678 0.0015625 0.00072544644 0.0011160715 0.0008370536 0.00022321429 0.000390625 5.580357e-05 0.0 5.580357e-05 5.580357e-05 0.00011160714 0.00011160714 0.026450893 0.0041852677 0.022377232 0.0065848213 0.02092634 0.0013950893 0.004575893 0.023995535 0.035435267 0.00033482144 0.00234375 0.011439732 0.0041294643 0.021205356 0.009598214 0.0047433036 0.0 0.01657366 0.025111606 0.010881697 0.008203125 0.0010044643 0.002845982 0.0006138393 0.001953125 0.0012276786 0.0 0.0 0.00011160714 0.0 0.0 0.0020647321 5.580357e-05 0.0 5.580357e-05 0.0 5.580357e-05 0.0 0.0 0.00027901787 0.0 5.580357e-05 0.0 0.0005022322 0.00016741072 5.580357e-05 0.0 0.00016741072 0.0 0.0 0.0 5.580357e-05 0.0 0.0 0.0 0.00033482144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016741072 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016741072 0.00011160714 0.0 0.00011160714 5.580357e-05 5.580357e-05 0.00022321429 0.0 0.00033482144 0.0 0.0 0.0 0.00022321429 0.00022321429 5.580357e-05 0.0 0.000390625 0.0 5.580357e-05 0.0 0.00027901787 0.00016741072 0.0 0.0 0.00011160714 5.580357e-05 0.0 5.580357e-05 0.00022321429 0.0 5.580357e-05 0.0 0.00022321429 0.0 5.580357e-05 0.0 0.0 0.00055803574 0.0 5.580357e-05 0.000390625 0.0 0.0 5.580357e-05 5.580357e-05 0.0 0.00011160714 0.0 0.00033482144 5.580357e-05 0.0 0.0 5.580357e-05 0.0 0.0 0.00022321429 0.00016741072 0.0 5.580357e-05 5.580357e-05 0.004296875 0.0 0.00011160714 0.0 0.00011160714 0.00022321429 0.0 0.0 0.0 0.0 0.0 5.580357e-05 5.580357e-05 5.580357e-05 0.0 0.0 5.580357e-05 5.580357e-05 0.00055803574 0.0 0.00016741072 0.0 0.0 0.0 0.00055803574 0.0 0.00016741072 0.00011160714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.051635742 0.0010070801 0.001373291 0.000579834 0.00076293945 0.00061035156 0.0015563965 0.0010070801 0.0015563965 0.00018310547 0.00030517578 0.000579834 0.0004272461 0.00048828125 0.00024414062 0.00018310547 0.048675537 0.00079345703 0.0016479492 0.00064086914 0.0013427734 0.00076293945 0.0031433105 0.0012207031 0.0013427734 0.00024414062 0.00021362305 0.0004272461 0.0004272461 0.00021362305 0.001159668 0.00024414062 0.16275024 0.004058838 0.015411377 0.0014953613 0.01071167 0.0069274902 0.08074951 0.028869629 3.0517578e-05 0.0 0.0 6.1035156e-05 3.0517578e-05 9.1552734e-05 0.00061035156 0.0007019043 0.29248047 0.0060424805 0.03970337 0.0043640137 0.047912598 0.00982666 0.11383057 0.043121338 0.00021362305 0.00012207031 9.1552734e-05 0.0002746582 0.00030517578 0.00024414062 0.0033569336 0.00061035156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 18.375 147.0 0.04761905 0.006802721 0.0 0.0 0.020408163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04761905 0.0 0.013605442 0.006802721 0.006802721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006802721 0.054421768 0.0 0.0 0.108843535 0.0 0.0 0.04761905 0.0 0.04761905 0.0 0.0 0.0 0.0 0.04761905 0.006802721 0.054421768 0.0 0.0 0.006802721 0.006802721 0.0 0.0 0.0 0.054421768 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.054421768 0.013605442 0.027210884 0.034013607 0.013605442 0.0 0.013605442 0.006802721 0.013605442 0.0 0.0 0.0 0.013605442 0.027210884 0.020408163 0.006802721 0.0 0.08163265 0.027210884 0.027210884 0.006802721 0.0 0.0 0.0 0.0 0.020408163 0.0 0.0 0.0 0.0 0.0 4.674834 0.0 0.0 0.0 1.0 17920.0 28672.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 0.0 512.0 4096.0 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 0.0 512.0 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 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0432606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.724209 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16836.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 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