Input: 0.31635025 0.0103300605 0.04574165 0.009962729 0.009055601 0.0012632598 0.0043922914 0.0009026484 0.004674509 0.00068986526 0.0007212228 0.00073690154 0.0033126972 0.0010930332 0.0011243908 0.0020875144 0.013812983 0.0011019926 0.0003942087 0.0004972405 0.0015432375 0.002002401 0.00034493263 0.0021860665 0.0012184633 0.0006316299 0.00031805475 0.00034493263 0.001209504 0.0003606114 0.003176068 0.00027101848 0.0015409978 0.00029789636 0.00030685565 0.004372133 0.0026429903 0.001209504 0.00025309992 0.0002217424 0.00068762543 0.0002217424 0.00017694596 0.00048380162 0.0006181909 0.0012990969 0.00043676535 0.00032029458 0.0017403419 0.0010123997 0.0010683952 0.002105433 0.003353014 0.0014133279 0.0008869696 0.00076825905 0.0016059525 0.0016776269 0.00096088374 0.0022599807 0.0012878978 0.0047305045 0.0008488926 0.0010012005 0.0014155677 0.0012117438 0.00042556622 0.0009160873 0.0013550925 0.0037718606 0.0019688038 0.0007324219 0.0011423094 0.00056667504 0.00022622205 0.00020606365 0.00083993335 0.0023338948 0.0008264944 0.0004434848 0.0069098515 0.0013035765 0.00080409617 0.0020561568 0.0007525803 0.003742743 0.003301498 0.0024526054 0.0010191192 0.0022443018 0.00027997777 0.00080185634 0.00045916357 0.0009093678 0.0018926498 0.0013147757 0.0005106795 0.0057653026 0.0003113353 0.0007458608 0.0012923775 0.0033059777 0.0024526054 0.0004815618 0.0017067445 0.0020718356 0.0029588053 0.00032701404 0.0013506128 0.0005509963 0.0014648438 0.0012543005 0.0012072641 0.0002822176 0.0013640517 0.0011400696 0.0063476562 0.005960167 0.0010347979 0.0025421982 0.0015163596 0.0008242546 0.00030461582 0.00015230791 0.0008735307 0.0011803863 0.00074362097 0.00040988746 0.0012946173 0.00058011396 0.00016574685 0.0042131054 0.0010034404 0.003187267 0.0002732583 0.00090040854 0.017786428 0.0046543507 0.000667467 0.011694112 0.00045020427 0.0028647326 0.00024414062 0.00024414062 0.0005711547 0.00013886899 0.00015678756 0.0003225344 0.0005151591 0.0003001362 0.0002307017 0.0001411088 0.0015969933 0.0838567 0.00017246632 7.839378e-05 0.00033821317 0.00011871058 0.00015230791 0.00013438934 0.00050619984 0.0006921051 0.00015230791 0.00037629015 0.00037405032 0.00024638046 0.00015230791 0.00013662915 0.00048828125 0.0050104824 0.00019038489 0.00015678756 0.0003337335 0.00010975129 0.00015454773 0.00019038489 0.0005129193 0.0001411088 0.00017470613 0.00025981938 0.00065850775 0.00017470613 0.0006069918 0.00080409617 0.0014424456 0.002672108 0.00028893707 0.00028893707 0.00051739893 0.00028669724 0.00035389193 0.00044572464 0.004071997 0.0008959289 0.0015947535 0.002127831 0.0009026484 0.00015454773 0.00089368905 0.0011714271 0.0010795944 0.001588034 0.0037964988 0.0006607476 0.16374445 0.00038076978 0.0011423094 0.0007637794 0.0008197749 0.00043004588 0.0025198 0.00042332642 0.0004434848 0.00022846187 0.000403168 0.0005957927 0.00086233154 0.00028669724 0.00024638046 0.0005330777 0.0005644352 0.00020382383 0.00030685565 0.00024862026 0.000969843 0.0003314937 0.00028893707 0.0002732583 0.0006226706 0.00031581495 0.005328537 0.000302376 0.006056479 0.0012946173 0.0002105433 0.0020270392 0.0025892346 0.00017470613 0.00023966098 0.00017246632 0.001865772 0.0009474448 0.00026877868 0.00044124498 0.006287181 0.00020830346 0.00094968465 0.00059131306 0.002835615 0.0018948896 0.00030685565 0.00043228568 0.0021883063 0.0007839378 0.0021815868 0.019862743 0.25720862 1.6837284e-05 1.1224856e-05 2.0204741e-05 2.806214e-05 7.857399e-06 2.806214e-05 3.591954e-05 5.5001798e-05 0.00683706 5.612428e-06 4.4899425e-06 0.11715382 3.3674569e-06 5.612428e-06 0.0001874551 0.0047874013 8.643139e-05 1.795977e-05 5.612428e-06 1.1224856e-05 6.7349138e-06 1.0102371e-05 3.0307112e-05 5.612428e-05 0.0044181035 4.4899425e-06 5.612428e-06 0.002219154 6.7349138e-06 1.795977e-05 0.0021091504 0.009508576 0.00018072019 7.4084055e-05 4.7144396e-05 8.530891e-05 0.000116738505 0.00012684088 0.00017510777 0.0003367457 0.0041644215 0.0020822107 3.9287e-05 0.008352416 1.1224856e-05 0.0020406789 0.00024470186 0.017044945 0.0003434806 0.000108881104 8.306394e-05 0.00014929059 0.00023347701 0.0024167115 0.00029072378 0.0007195133 0.010284213 1.6837284e-05 4.0409483e-05 0.00294428 6.510417e-05 0.00013357578 0.004205954 0.015144576 0.00060389726 0.0019026131 0.00016051544 0.00017623024 0.00075767783 0.0007711476 0.0010001347 0.0056449804 0.020084636 8.0818965e-05 0.0005275682 0.004026356 0.00020653736 0.0012302443 0.00055563037 0.007724946 0.0037502246 0.00051185343 0.0029925467 8.194145e-05 0.003862473 0.0033640894 0.0013930047 0.007888829 0.026234735 0.00026490662 0.0007475754 0.0035492997 0.0018734285 0.0015748474 0.0008519666 0.010695043 0.0013649425 0.0018173043 0.0015939296 0.00035807292 0.0011628951 0.00088788616 0.00052981323 0.003159797 0.009319998 0.0014480065 0.00017735273 0.0041183997 0.00017623024 0.0011224856 0.0011483028 0.014363326 0.0026569236 0.0017241379 0.0020519036 0.0005230783 0.001754445 0.00090809085 0.0004231771 0.0015018858 0.0033786818 0.0013380029 0.0013817798 0.008013424 0.0009788075 0.0009922773 0.0016882184 0.00546875 0.00015378054 0.0001953125 0.00014816811 0.00052195584 0.00042766702 0.00075431034 0.00060389726 0.0008115571 0.0009922773 6.510417e-05 6.2859195e-05 0.004645968 0.00030194863 0.00035470547 0.0005836925 0.006852775 0.00063757185 0.0006555316 0.0007969648 0.0020541488 0.0012369792 0.005979481 0.0029869343 0.00047032148 0.00017286278 0.00016500539 0.00032439834 0.0053441543 0.00025368176 0.00047930135 0.0014749462 0.0065743984 0.0009069684 0.00040184986 0.00047593392 0.0010259518 0.00058257004 0.0019654722 0.0009282956 0.00030756107 0.00016612788 0.000108881104 0.0001403107 0.0014356591 0.00031766342 0.0002637841 0.0004905262 0.0058425376 0.0019082256 0.0010697288 0.010492995 0.0011988146 0.0009933998 0.0020474137 0.0015344379 0.0010382992 0.00081043463 0.00071614585 0.00080706715 0.0028353988 0.0007116559 0.0009922773 0.001483926 0.003506645 0.001051769 0.0007745151 0.00033337824 0.0007453305 0.0008261494 0.00079471985 0.0006892062 0.001283001 0.00017061782 0.00016837285 0.00022898708 0.003203574 0.0002424569 0.00052981323 0.0015434177 0.021460803 0.0062387753 0.002482938 0.0027702944 0.0057314117 0.007933728 0.0026007993 0.0062758173 0.012506735 0.00077676005 0.0010663613 0.0019250629 0.008984375 0.0015815822 0.0047829114 0.01173222 0.025028063 0.009454696 0.003199084 0.0046863775 0.005595591 0.010295439 0.003751347 0.0089282505 0.014401491 0.0011426904 0.0015523976 0.0030318338 0.008258127 0.0022124192 0.006554194 0.013747081 0.0001953125 0.000108881104 0.00014480065 0.00011786099 0.000116738505 8.194145e-05 0.00015378054 9.0921334e-05 0.00014929059 7.07166e-05 0.00018521013 0.00016500539 0.00029858117 0.00018633262 0.00014816811 8.530891e-05 1473.0 16.318398 24037.0 0.006531597 0.00024961517 0.0011648708 0.07026667 0.002828972 0.001497691 0.0004160253 0.0002912177 0.0023297416 0.0002912177 0.0010400632 0.00037442276 0.0022049341 0.014810501 0.00395224 0.00066564046 0.008278904 0.006698007 0.0077380706 0.00707243 0.039855223 0.005741149 0.0049923034 0.0049923034 0.00673961 0.007862878 0.0061155716 0.0061155716 0.006989225 0.06477514 0.0053251237 0.007530058 0.006698007 0.010234222 0.0024961517 0.009651787 0.0059075593 0.005990764 0.0061155716 0.0059491615 0.0040354454 0.0038274326 0.00066564046 0.00066564046 0.005117111 0.0044514704 0.001414486 0.002912177 0.061072513 0.001955319 0.004077048 0.00969339 0.0064899945 0.044140283 0.010442235 0.009027749 0.003910638 0.0015808961 0.00045762782 0.0010816657 0.0016224986 0.00091525563 0.0012896784 0.002745767 0.0017057037 0.09506178 0.0037858302 0.010899862 0.010816658 0.04954861 0.0329492 0.00673961 0.008195698 0.02433748 0.0042018555 0.0016641011 0.01676582 0.007280443 0.021134084 0.020426841 0.0096101845 0.0005824354 0.018845946 0.013895245 0.031077089 0.009235761 0.0022465365 0.033490036 0.011898323 0.0051587136 0.0012064733 0.00049923034 0.002121729 0.00037442276 0.00091525563 0.00095685816 5.492866 0.0 0.0 0.0 2.0 446464.0 454656.0 0.0 1.0 356.0 1.0 1.0 0.0 0.0 0.0 1143448000.0 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 184320.0 4096.0 4096.0 7.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 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 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184320.0 -12288.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.104593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8176382 0.0 0.0 -0.55052227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4998599 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.909505 -5.0221243 3.6292076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11711.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23022.0 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 -31888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -180966.0 -11286.0 121462.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 -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 0.0 0.0 1.0 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 -1.0 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 -2.0 0.0 0.0 1.0 -1.0 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 1.0 0.0 0.0 1.0 1.0 -2.0 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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 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 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -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 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 -2.0 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 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 1.0 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 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 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 1.0 -1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 350.0 211088.0 180.0 245760.0 121462.0 258048.0 0.0 0.0 0.0 0.0 9764.0 380928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 247988.0 0.0 0.0 0.0 0.0


Input: 0.15417251 0.009577503 0.004801238 0.0070790066 0.006684274 0.0028892013 0.002690224 0.0022580319 0.009393428 0.0013908284 0.0035832059 0.0016022923 0.005756249 0.0016002784 0.0018363125 0.00749549 0.0049200607 0.0012611306 0.0011902398 0.0010311384 0.0032053902 0.0034881479 0.0010855148 0.0009018433 0.002275352 0.0017340041 0.0008273274 0.0009646783 0.0021802937 0.0008841206 0.0007197829 0.0012977843 0.0044443673 0.00076570077 0.0011048487 0.0008945931 0.0023760488 0.00091835763 0.00084021664 0.0007056853 0.00389295 0.00071817177 0.000828133 0.0030583725 0.0015845697 0.0008365915 0.0010440276 0.0029443833 0.0031663198 0.0020707352 0.0023208668 0.006768054 0.0028179078 0.0025754292 0.0023406036 0.0021561265 0.0029391472 0.0048459475 0.002318853 0.0053445995 0.0030120518 0.0025001077 0.0043851575 0.0025999993 0.0043287673 0.0017940196 0.005032036 0.00233577 0.0021098058 0.012752684 0.0054928255 0.0019583574 0.005049356 0.0014552745 0.0022991162 0.0014013009 0.0020860413 0.008725203 0.0020550266 0.0017106425 0.009475195 0.00338302 0.001981719 0.003377381 0.0069364193 0.0058078063 0.00487374 0.0067398585 0.0036698054 0.0032734615 0.0033548248 0.0014742056 0.0016171956 0.0036814862 0.0026865988 0.0023196586 0.0016457936 0.0014500383 0.00086921745 0.0012667696 0.0018475906 0.002808241 0.001770658 0.0009260106 0.004172888 0.0016119593 0.0057489993 0.0009348719 0.0021037639 0.0011584195 0.0015100538 0.001922912 0.0028054214 0.0032984344 0.0018910917 0.0020570406 0.009448611 0.010987262 0.0020832217 0.0014153986 0.0022101002 0.0011825868 0.00093446916 0.0009969013 0.0022072806 0.003933632 0.0020066919 0.0013731057 0.0029137714 0.0023220752 0.0015205262 0.008999099 0.0027151967 0.007641702 0.0022801852 0.0010234854 0.0022890465 0.012071569 0.0010778619 0.034856103 0.0017855611 0.010893816 0.0042465986 0.000995693 0.0032456692 0.00080638245 0.001140294 0.0013408826 0.0020224007 0.0021730436 0.0012083653 0.0020973193 0.002082416 0.0014766224 0.0009388998 0.00081524375 0.0017178926 0.00094494165 0.001111696 0.0009819982 0.0039964668 0.0014266766 0.000984415 0.00092681614 0.003955785 0.0028807428 0.00088895403 0.0008998293 0.0020518042 0.0010154296 0.0011410996 0.0010508749 0.0018334929 0.00074999203 0.0009791787 0.0010267077 0.0019160645 0.00091916317 0.00082571624 0.0011274047 0.0017976448 0.0014661498 0.0014979702 0.001309868 0.0032484885 0.0011576139 0.0013340353 0.0012035319 0.002166599 0.0011894342 0.0020151504 0.0035050649 0.0079333205 0.0032162655 0.0036029425 0.0034490773 0.002960495 0.0014605108 0.005891989 0.003853074 0.0037592244 0.0026326252 0.0011737255 0.0029097435 0.0046288446 0.0019168701 0.00334838 0.0021770715 0.0026910296 0.0012933536 0.0014190236 0.0014548717 0.0026249723 0.001163253 0.001770658 0.003956188 0.0045474814 0.0023534927 0.0016204178 0.0021520986 0.0030813315 0.0019168701 0.0041132756 0.011602321 0.0037193482 0.0018306734 0.001538249 0.0016063203 0.0038558936 0.0020550266 0.0014371491 0.0014879004 0.017980073 0.0041056224 0.0015543605 0.0048515867 0.0069215163 0.0015773195 0.0014967618 0.0013791475 0.0060281316 0.0036605413 0.0037950724 0.001781936 0.0032215018 0.0017787137 0.0031759867 0.0032710447 0.0048604477 0.0024545926 0.0025468313 0.0038736162 0.01027473 0.0035783723 0.0039018115 0.07178657 0.02452389 6.045579e-07 2.015193e-07 0.0 0.0 0.0 2.015193e-07 0.0 0.0 0.0 0.0 0.0 0.00033573114 0.008418469 0.0 0.008817477 7.456214e-06 2.015193e-07 2.015193e-07 0.0 4.030386e-07 2.015193e-07 0.0 2.015193e-07 1.2091158e-06 6.851656e-06 2.015193e-07 1.8136736e-06 8.060772e-07 9.269887e-06 3.929626e-05 0.001170021 1.14866e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018580079 0.00034338888 0.0 0.0006974583 0.00036575753 1.9547371e-05 2.6197508e-06 4.836463e-06 2.82127e-06 1.2091158e-06 1.8136736e-06 1.6121544e-06 1.0075964e-06 8.060772e-07 1.6121544e-06 1.2091158e-06 6.99272e-05 0.00033472356 6.0455786e-06 9.874446e-06 0.0010563642 3.486284e-05 1.51139475e-05 3.748259e-05 7.859252e-06 1.6524582e-05 1.8539775e-05 1.14866e-05 2.5189911e-05 0.00012715868 4.231905e-06 5.2395017e-06 5.5619326e-05 5.2395017e-06 5.2395017e-06 0.00063740555 2.1159525e-05 8.060772e-07 4.030386e-07 2.015193e-07 4.030386e-07 0.0 4.030386e-07 0.0 0.0 0.00012212069 0.0 0.0 7.375606e-05 0.0002768875 0.0 0.0003292825 0.0015087749 0.00022106667 4.7961592e-05 0.00016181999 2.8212702e-05 4.574488e-05 0.00016363367 4.9976785e-05 0.00013340577 0.0002569371 0.00014348174 0.000102170285 0.00036595904 0.00018922662 0.00028454524 0.0012496212 0.023666427 0.0011438235 0.001916247 0.0009161067 0.00081957894 0.0026251918 0.0010745008 0.0009036125 0.000798621 0.0019418399 0.00074118795 0.0006039533 0.0010956604 0.0019390186 0.00067609723 0.005361824 0.010713975 0.00055639475 0.0009545969 0.0009858324 0.00095681363 0.0020057214 0.0016296866 0.0014523496 0.0011260898 0.00091409154 0.0009896612 0.00082481845 0.00097615947 0.0006363979 0.001785864 0.0032067765 0.0055544763 0.00027809662 0.0010910254 0.00060516247 0.0018781598 0.0010646264 0.0027755252 0.0013725479 0.00025351127 0.0008141379 0.00039336566 0.0002799103 0.00063357665 0.0007131768 0.0010603946 0.0010424593 0.0074086552 0.0006192688 0.0005042013 0.0005541781 0.003091306 0.0014184943 0.0018650611 0.0012562713 0.00037220612 0.0004354832 0.0002768875 0.00037563196 0.00042742243 0.0008913198 0.0004929162 0.0010589838 0.015424488 0.002569371 0.0019819422 0.024138989 0.007490472 0.0036642253 0.0033849196 0.003211613 0.0030052573 0.004140415 0.0024295165 0.0025564737 0.004211753 0.004928356 0.005209072 0.0057513607 0.016760964 0.0024702235 0.0011008999 0.0016032875 0.00817322 0.004723612 0.0032853691 0.003691632 0.00813352 0.0031368493 0.0028581482 0.0035987315 0.006481062 0.0061471444 0.008168585 0.012526843 0.06510443 0.008761454 0.009399061 0.010907433 0.019051433 0.024496887 0.008155688 0.017641403 0.04532431 0.0053120484 0.009147968 0.00965882 0.021064812 0.011990398 0.021231871 0.049937285 0.045706593 0.008339876 0.005778969 0.008695154 0.014993035 0.02096768 0.006351485 0.015616536 0.03493458 0.0040561804 0.0046794796 0.0050911834 0.015427914 0.006629783 0.015537137 0.0339959 0.0048961127 0.0029532653 0.0041381987 0.0035626595 0.004094066 0.0036323853 0.003038911 0.0036261382 0.0035598383 0.0028430342 0.004120868 0.0035731385 0.003519333 0.0043038474 0.0029188055 0.0042371447 6846.0 12.708005 86999.0 0.016218577 0.0013908206 0.001793124 0.0017701352 0.009942643 0.0016896746 0.0016666858 0.0018276072 0.009655284 0.0015747307 0.0016896746 0.002505776 0.008471361 0.0022069218 0.007540317 0.0030000345 0.024368096 0.018230096 0.018724354 0.018701365 0.02474741 0.018586421 0.018850792 0.018069172 0.024069242 0.023391074 0.018758837 0.018103657 0.02626467 0.01834504 0.016482947 0.022954287 0.023080725 0.011069093 0.005287417 0.017574914 0.012954172 0.004655226 0.007896642 0.004827642 0.012666812 0.0065632937 0.0015977195 0.0021149667 0.009965632 0.007413878 0.0030345176 0.003919585 0.017988712 0.0036207312 0.004528788 0.009321947 0.012885205 0.0038851022 0.010712767 0.014057633 0.00917252 0.0019195623 0.0032988884 0.002505776 0.0092874635 0.0025287648 0.0033218772 0.004448327 0.008540328 0.0184255 0.0051724734 0.009574823 0.015816273 0.032988884 0.0036092368 0.0064138668 0.013574868 0.016597891 0.003919585 0.0036667087 0.021896804 0.0074598556 0.017735835 0.02270141 0.014230048 0.0042069447 0.020126669 0.0118737 0.038310785 0.009988621 0.003494293 0.003919585 0.010977138 0.004827642 0.0016896746 0.004183956 0.008229979 0.001908068 0.0024253153 0.0018161128 6.1575875 0.0 2.0 0.0 9.0 2482693.0 2854912.0 1.0 0.0 621.0 1.0 1.0 0.0 0.0 0.0 1369396600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 1368064.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -176640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 324096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1559552.0 0.0 392704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.055282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1023684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.747135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.230201 0.0 6.915961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 323906.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -386352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1560468.0 0.0 392404.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 1.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 2.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 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 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 2.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 2.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 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 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 1682076.0 392404.0 2088960.0 0.0 0.0 0.0 0.0 114512.0 2482176.0 28.0 1375696.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1580496.0 0.0 0.0 2556.0 1372160.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0008370536 0.00027901787 0.00027901787 0.001953125 0.001953125 0.0008370536 0.0016741072 0.0033482143 0.0011160715 0.002232143 0.001953125 0.0013950893 0.002232143 0.0030691964 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0078125 0.00027901787 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.0008370536 0.0055803573 0.0008370536 0.0025111607 0.002232143 0.0011160715 0.0 0.004464286 0.0025111607 0.005859375 0.0066964286 0.00055803574 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024902344 0.03515625 0.034179688 0.03466797 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.007662835 0.0038314175 0.0038314175 0.007662835 0.011494253 0.011494253 0.01532567 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.01532567 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.107279696 0.0 0.0038314175 0.0038314175 0.011494253 0.0 0.011494253 0.053639848 0.011494253 0.03448276 0.03065134 0.007662835 0.0 0.06130268 0.03065134 0.053639848 0.022988506 0.0 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.2937074 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 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 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1530524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.17418408 0.16515647 0.15484852 0.10664006 0.13435282 0.13900547 0.00034664242 0.00038577945 0.0004463487 0.00031030088 0.00034198325 0.00032055104 0.00043423485 0.0003382559 0.00032893755 0.0005274183 0.00041559816 0.00041839367 0.0003140282 0.00035316526 0.0004137345 0.00029818702 0.00042305284 0.00032521022 0.0004593944 0.00040255248 0.00032521022 0.00040721166 0.0003401196 0.00045846254 0.00038112028 0.00029818702 0.0004957359 0.00043609852 0.0003596881 0.00044448502 0.0015953006 0.00054232765 0.0005087816 0.00038112028 0.00044168954 0.00040348433 0.00030750537 0.0003867113 0.00038484763 0.00039975697 0.0003652791 0.00042771202 0.00041093898 0.00051530445 0.0004519397 0.0005059861 0.00042864383 0.00038857496 0.00032614206 0.00033918774 0.00047709924 0.00041746182 0.00034571058 0.0003596881 0.00041093898 0.00038764314 0.00035036975 0.00041466634 0.00049014494 0.00039137047 0.00029632336 0.00043423485 0.00083865103 0.0024274287 0.00042771202 0.00036993827 0.0022214933 0.0003792566 0.0003867113 0.0026538644 0.0006634661 0.00043703036 0.00040441615 0.00040255248 0.00039137047 0.000433303 0.00036061992 0.00045100786 0.0005143726 0.0005013269 0.00042584835 0.0021516057 0.00040162064 0.00040814347 0.00041000717 0.00046964455 0.0005022588 0.0004519397 0.00038577945 0.0003513016 0.00042584835 0.00040348433 0.0003923023 0.00038484763 0.00039696146 0.0030834402 0.0005274183 0.0023556775 0.0012309533 0.00042025733 0.0020751953 0.00045380337 0.0005488505 0.00041653 0.00050691795 0.0005003951 0.00056282803 0.0003764611 0.0019941258 0.00044541687 0.0014508662 0.00039696146 0.00036434727 0.002977211 0.0003764611 0.00053114566 0.0003755293 0.00040348433 0.0005003951 0.00036714278 0.00044448502 0.00043143934 0.0003755293 0.00049014494 0.00045473521 0.000557237 0.0004621899 0.00041653 0.00045007604 0.00031775553 0.0004435532 0.0008293327 0.00043050753 0.0009448801 0.0005656235 0.00051344075 0.0005889194 0.00034571058 0.00034477873 0.0002944597 0.0003354604 0.0003783248 0.00039975697 0.00046125805 0.00041280265 0.00036061992 0.0003513016 0.0003242784 0.00042398466 0.00035782444 0.0004593944 0.00035316526 0.0003950978 0.0003624836 0.00045753072 0.00039975697 0.00036341543 0.00043796218 0.00039323414 0.00033452857 0.00047709924 0.00037366562 0.00044262136 0.00034664242 0.0003485061 0.00040907532 0.00052555464 0.00046871274 0.0004892131 0.00046871274 0.00047150822 0.00051530445 0.0004929404 0.00042025733 0.0004733719 0.0003755293 0.00038205212 0.00034757424 0.0004137345 0.00047150822 0.0004892131 0.00039602965 0.00041653 0.00049107673 0.00040348433 0.00039416598 0.0003923023 0.00043423485 0.00035316526 0.00045287155 0.00049387227 0.00032893755 0.00036434727 0.00042398466 0.00039323414 0.00039416598 0.00035782444 0.00031216454 0.00046125805 0.00042957568 0.00042584835 0.00039882516 0.00048455392 0.0003895068 0.00034198325 0.00036900645 0.00035036975 0.00027395933 0.00033080124 0.00031030088 0.00039416598 0.0003242784 0.00040721166 0.00038577945 0.00041466634 0.00027675484 0.00033639223 0.00035596077 0.00041932552 0.00035875625 0.00041093898 0.00035875625 0.0003978933 0.0003568926 0.0003764611 0.0004249165 0.00039696146 0.00059171487 0.000422121 0.00044168954 0.00042305284 0.00043516667 0.0004491442 0.00039696146 0.0004463487 0.00044262136 0.0004603262 0.00040441615 0.0003839158 0.00036434727 0.0004062798 0.0004323712 0.00048082657 0.0004463487 0.0005497823 0.00038112028 0.00038484763 0.00034757424 0.00032521022 0.00066067063 0.7305947 3.2645355e-06 2.3318112e-06 4.6636223e-06 7.4617956e-06 4.6636223e-06 6.062709e-06 5.1299844e-06 5.1299844e-06 2.7981735e-06 6.9954335e-06 9.3272445e-07 1.8654489e-06 4.19726e-06 4.6636223e-06 4.19726e-06 0.010989826 3.0313544e-05 4.0107152e-05 3.0779906e-05 3.1712632e-05 2.8914457e-05 2.7049009e-05 2.3784474e-05 3.2645356e-05 2.9847182e-05 3.4510806e-05 3.124627e-05 3.1712632e-05 2.5649922e-05 3.777534e-05 3.544353e-05 0.007975261 4.0107152e-05 4.057351e-05 3.5909892e-05 5.3631655e-05 4.383805e-05 5.083348e-05 4.850167e-05 4.850167e-05 3.311172e-05 3.777534e-05 3.4510806e-05 4.4304412e-05 3.357808e-05 3.6376252e-05 3.9174425e-05 0.0042620846 2.8448096e-05 4.8968035e-05 3.2645356e-05 3.5909892e-05 3.124627e-05 3.311172e-05 3.4044442e-05 3.8241702e-05 3.5909892e-05 3.9174425e-05 3.6376252e-05 2.7049009e-05 2.8914457e-05 3.1712632e-05 3.1712632e-05 0.008045215 5.876164e-05 0.00010586422 9.327244e-05 0.00015250045 9.327244e-05 0.00030919816 0.00018094854 6.622344e-05 5.4098018e-05 5.7362555e-05 7.741613e-05 6.8555244e-05 5.3631655e-05 6.249254e-05 7.2286144e-05 0.008535362 0.00011565783 0.00011985509 0.00011472511 0.00019354033 0.00012778325 0.00022665205 0.00018234763 0.00011565783 9.840243e-05 0.00015529862 0.00010726331 9.560426e-05 0.00010073424 0.00010586422 0.00011146057 0.0066433297 0.00011006148 0.00012311962 0.0001221869 0.00020473302 0.00012685053 0.00012871597 0.00012685053 0.00013104778 0.00011146057 0.00013011506 0.0001333796 0.000121254176 0.0001259178 0.00013151414 0.00012545144 0.015753716 0.00017954946 0.00023644564 0.0002135939 0.0018976278 0.0010045442 0.00335501 0.0023285465 0.00022385387 0.00021312754 0.00023411383 0.00022385387 0.00020799755 0.00019820394 0.00025370106 0.00021919025 0.014467022 0.00020426666 0.00023737838 0.00022385387 0.002065052 0.0011570447 0.0037784667 0.0028368814 0.00022152206 0.00019680486 0.00022665205 0.0002504365 0.00022245478 0.00020146849 0.00022898386 0.00022478659 0.011410951 0.00039034517 0.00047335765 0.00044351048 0.00060487184 0.0004323178 0.00051719573 0.0004360487 0.00049481035 0.0003665607 0.0004295196 0.00043185143 0.0004243896 0.00039221064 0.0004323178 0.00046682858 0.024620662 0.0010343915 0.0010880231 0.0010474495 0.0033041763 0.0014196066 0.0014331312 0.0014014185 0.0013039488 0.0012228017 0.0012787653 0.0013641095 0.0012251335 0.00094718166 0.0010847586 0.0011146057 0.014275348 0.0008166003 0.0009807597 0.00091686816 0.00087722734 0.0008697655 0.0009364553 0.0009224645 0.0009122045 0.00082499476 0.00093132537 0.00094858074 0.000812403 0.0008044748 0.00094904716 0.0009196663 0.0074580647 0.00054051384 0.0006100018 0.0005866837 0.0005768901 0.0005675628 0.0005913473 0.0006235263 0.0006100018 0.00054377835 0.0006132663 0.0006267908 0.0005409802 0.00052932114 0.0006165309 0.00060160726 0.004875817 0.0005447111 0.0012549808 0.0005656974 0.0009233972 0.0006552389 0.0005787555 0.0006300554 0.0014018848 0.00044630864 0.00048221854 0.0005377156 0.0006519744 0.00048128582 0.0005689619 0.0006827543 0.00412544 0.0007009424 0.0010968839 0.0007130678 0.0009779616 0.00077695947 0.0007900176 0.0008273266 0.0012125418 0.00060767 0.0007177315 0.0006832207 0.00073032326 0.0006197954 0.00079374854 0.0008632365 0.003889461 0.001232129 0.0014252029 0.0013892931 0.0013226033 0.0012750343 0.0013650423 0.0013948894 0.0013701722 0.0012288644 0.001365975 0.0014718391 0.0012078781 0.0012041472 0.0013277333 0.0014074811 1357.0 7.266765 9861.0 0.004056384 0.0024338302 0.0035493358 0.0053747087 0.0043606125 0.0034479261 0.0021296015 0.0019267823 0.0026366494 0.003042288 0.001521144 0.0024338302 0.0022310112 0.0023324206 0.0036507454 0.0024338302 0.0022310112 0.0024338302 0.0028394687 0.0043606125 0.0014197343 0.0024338302 0.0017239631 0.003245107 0.0050704796 0.0035493358 0.0026366494 0.003042288 0.004259203 0.0013183247 0.0021296015 0.003245107 0.0036507454 0.0019267823 0.0019267823 0.003954974 0.0053747087 0.003245107 0.0034479261 0.0045634317 0.0038535646 0.0035493358 0.003042288 0.0014197343 0.0022310112 0.0028394687 0.0053747087 0.0011155056 0.0029408783 0.0028394687 0.0022310112 0.0035493358 0.002738059 0.0029408783 0.0026366494 0.0024338302 0.0023324206 0.0018253727 0.0024338302 0.0026366494 0.0035493358 0.0057803467 0.0018253727 0.0013183247 0.004056384 0.003752155 0.0044620223 0.0036507454 0.0034479261 0.09218132 0.0025352398 0.0026366494 0.08802353 0.003954974 0.17716256 0.0031436973 0.0078085386 0.0033465165 0.0048676603 0.004766251 0.0036507454 0.001521144 0.17290336 0.0056789373 0.094209515 0.0031436973 0.0038535646 0.08721225 0.0031436973 0.0029408783 0.002028192 0.002738059 0.0018253727 0.002028192 0.006490214 0.0078085386 4.490274 0.0 0.0 0.0 4.0 1073152.0 1081344.0 1.0 0.0 17.0 0.0 1.0 0.0 0.0 0.0 1542667800.0 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 782336.0 4096.0 4096.0 5.0 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 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -782336.0 -4096.0 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 3.5071213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0201716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7343032 -4.9189878 3.2129762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 245373.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -781330.0 -642.0 1024.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 827476.0 1024.0 1077248.0 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 84.0 827392.0 0.0 0.0 0.0 0.0


Input: 0.31331426 0.0148118995 0.0099099465 0.0073002926 0.0075020366 0.006041978 0.028177522 0.0032083772 0.0074714115 0.004740022 0.004950188 0.0029855785 0.002530028 0.0027329202 0.0054823016 0.0062774094 0.010704672 0.003271159 0.004398168 0.005108291 0.0026931076 0.0040394696 0.0020201178 0.0027830692 0.0057315147 0.0034583558 0.0019171403 0.0023627377 0.002426285 0.0012276896 0.0016993183 0.0019297733 0.008021135 0.0028075692 0.0019443203 0.0044954033 0.005239214 0.00201093 0.0010611648 0.0008310926 0.0051657134 0.0010649929 0.001774733 0.0032818778 0.0014524022 0.0012116112 0.0012173535 0.0008153971 0.004996509 0.0010940869 0.0010569538 0.00297218 0.0011105479 0.00086707727 0.0009252652 0.0011660563 0.0031406188 0.0016491695 0.00094517163 0.0022279865 0.0010910244 0.00063088007 0.0009095698 0.001191322 0.0045302394 0.0031119077 0.0013057839 0.00113122 0.023745283 0.0013582297 0.0011710328 0.00086248346 0.021802494 0.003233643 0.00088277267 0.0009704374 0.003607271 0.0018137802 0.0010971494 0.00067490386 0.0030165866 0.0010940869 0.0011825173 0.0015224575 0.0013854095 0.0011205012 0.0018754135 0.0014313473 0.00247184 0.0009746484 0.00071165414 0.0016112707 0.0009888127 0.0012223301 0.008686085 0.0018995309 0.0034323244 0.0012414709 0.00086171785 0.0010649929 0.0010259458 0.0016277317 0.0007277324 0.0006148018 0.002571372 0.0013272215 0.000707826 0.0007958736 0.001440535 0.000865546 0.0009424919 0.00160438 0.0036968498 0.0008046783 0.001440535 0.001415652 0.001874265 0.001851296 0.0005118244 0.00044215197 0.0022968934 0.001319948 0.0006484896 0.0012345802 0.00092335115 0.0008039127 0.00073883403 0.0008781789 0.006652569 0.002714928 0.0012962135 0.0045918724 0.003350019 0.0031455955 0.0011492124 0.0004521052 0.0023049326 0.0032531666 0.0006653335 0.014650734 0.0012617601 0.0036941702 0.00054436375 0.0005703952 0.004282558 0.0010133128 0.0015236059 0.0010630789 0.0010068049 0.000782475 0.00081386586 0.000684857 0.0022168849 0.0007231386 0.0005110588 0.0006546146 0.0008444911 0.00044674575 0.00045593333 0.00041458925 0.024810659 0.0022601432 0.0022601432 0.0022107598 0.0022080801 0.0021123763 0.0018398116 0.0020247116 0.003594638 0.0020262427 0.0018229677 0.0020415555 0.002092087 0.0018888119 0.0018891948 0.001820288 0.0027218186 0.0005527857 0.0007296465 0.00067834917 0.0010075705 0.00045325363 0.0008391317 0.00049498054 0.0024400663 0.0017253497 0.0017069746 0.000659974 0.000639302 0.00045823024 0.0004375582 0.0004926836 0.0049658837 0.0007755843 0.0008452568 0.0022130567 0.0018953199 0.0006201612 0.0008490849 0.0008337723 0.0026169273 0.0010221176 0.00056962954 0.00097349996 0.010472685 0.0006071455 0.0015928956 0.00097349996 0.0029293047 0.0005543169 0.0011220324 0.0007797953 0.0006997869 0.0005700124 0.00076716236 0.0007931939 0.002463801 0.0006565287 0.00058570784 0.000772139 0.0009746484 0.0004574646 0.00045363643 0.0004674178 0.002935047 0.001019055 0.00093139027 0.00068026327 0.00063509104 0.00044636294 0.0006718413 0.0004199487 0.013434529 0.0020763916 0.00063777075 0.0008536787 0.0018011472 0.0012250098 0.0014026362 0.0007966392 0.0029082499 0.0013145886 0.0013792844 0.0019833674 0.0016173958 0.00075912324 0.0009826876 0.0010194378 0.0031834943 0.0014489569 0.0013578468 0.001319948 0.0018271786 0.0035973177 0.0036524432 0.05832999 0.0065412456 8.425245e-06 8.616728e-06 7.084865e-06 9.957108e-06 6.8933823e-06 6.7018996e-06 7.659314e-06 3.714767e-05 3.2552084e-06 3.6381741e-06 3.8296568e-07 2.1063113e-06 3.2552084e-06 7.084865e-06 1.3212316e-05 0.004473805 1.0531557e-05 6.3189336e-06 3.4466912e-06 1.9339766e-05 1.9148284e-07 7.6593136e-07 2.297794e-06 0.00012005974 3.6381741e-06 1.5701593e-05 7.084865e-06 5.5530027e-06 3.829657e-06 4.4041053e-06 2.891391e-05 0.006443781 6.644455e-05 8.425245e-05 1.9339766e-05 0.00014629289 1.9148285e-06 1.1871936e-05 1.2637867e-05 1.7807904e-05 4.2126226e-06 0.00013805913 5.7444854e-06 5.1700367e-06 1.3595281e-05 3.370098e-05 5.3998163e-05 0.014864814 0.00025831035 0.00019626992 2.1063113e-05 0.00049498316 3.3318014e-05 2.9105393e-05 7.14231e-05 6.338082e-05 4.308364e-05 0.00048694087 4.9211092e-05 5.1508883e-05 4.6721812e-05 6.1465995e-05 9.1145834e-05 0.018979779 0.0007391238 0.00025926778 0.0001539522 0.0005618107 9.1145834e-05 0.00010435815 0.000110102636 0.00020450368 0.00011067709 0.0005235141 0.00012369792 0.000109911154 9.1720285e-05 0.000109911154 0.00047162225 0.028744638 0.0013382736 0.0004790901 0.00018018535 0.0010506663 0.00018650429 0.00018803615 0.00019646139 0.00036783854 0.00016390931 0.00094918045 0.00016256893 0.00020565257 0.0001573989 0.00014150582 0.0015665211 0.04825272 0.0021459481 0.0011040901 0.00044730393 0.002505553 0.0003469669 0.00045151653 0.0005145144 0.0008457797 0.00035462622 0.0022279029 0.00026424634 0.00058823527 0.00030598958 0.00035117954 0.005567938 0.024039906 0.0021436503 0.0009700521 0.00042796414 0.001528033 0.00032092523 0.00054189644 0.0005595129 0.0010278799 0.0002900965 0.0014868643 0.00036094515 0.00035347734 0.00027075675 0.00031020222 0.001054113 0.04821672 0.0052630976 0.004374234 0.0025291054 0.002565487 0.0012819776 0.0040657553 0.0027849264 0.003577474 0.0008048024 0.0017999387 0.0011498545 0.0006464461 0.00075693167 0.0008348652 0.0020934818 0.054554228 0.006430568 0.0056221276 0.0028260953 0.003896293 0.0012984452 0.0017999387 0.0022485831 0.003997587 0.0014403339 0.00353822 0.0013585708 0.0011475567 0.0011462163 0.0012275965 0.0051146983 0.074366 0.009381702 0.0054947915 0.0037522977 0.010782782 0.0022372855 0.002666207 0.0023732383 0.004489124 0.0026520374 0.010589575 0.0024195772 0.0022665823 0.0019655714 0.003263059 0.022084482 0.041927084 0.008924824 0.0060638785 0.0043225335 0.006996017 0.0035642616 0.0035418582 0.0032559743 0.004537186 0.0033848423 0.027419576 0.003269761 0.002946155 0.0029141775 0.0044921874 0.014008311 0.020395411 0.0071262256 0.0035768994 0.0024291514 0.004621247 0.0049347044 0.001957529 0.00166839 0.0020318246 0.0017264093 0.002426662 0.0022305837 0.0016119026 0.0015261183 0.0052334177 0.009052543 0.02712412 0.008720894 0.00946289 0.0066475184 0.031178577 0.013970588 0.0036081113 0.005255438 0.025066253 0.0034281174 0.0034721585 0.003286803 0.018728746 0.0046614585 0.012343941 0.023044385 0.008441713 0.0032274434 0.004701861 0.0022116269 0.0049630436 0.002926241 0.0018788297 0.0018234911 0.0039280793 0.003029833 0.0017717908 0.0013491882 0.0031652113 0.0011852788 0.0015584788 0.0024653417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4621.0 9.986583 46148.0 0.019242438 0.0046589235 0.0046589235 0.006457485 0.01215654 0.0013435035 0.001213487 0.0014085118 0.009534541 0.0018202305 0.0016035364 0.0028820317 0.0022536188 0.0009534541 0.016793793 0.0009967929 0.010921383 0.0031420647 0.0034887753 0.004160527 0.00294704 0.0016468753 0.0014301812 0.001213487 0.006305799 0.0054606916 0.0017985612 0.00221028 0.0041388576 0.0009751235 0.004095519 0.00049839646 0.003272081 0.07215914 0.0028386929 0.008971136 0.012611598 0.005742394 0.0032937506 0.002535321 0.033999305 0.012416572 0.0017118835 0.0030337176 0.0051356507 0.002275288 0.001581867 0.0018852388 0.0027736847 0.0006067435 0.005374014 0.027715176 0.010097946 0.023056254 0.033435903 0.02687007 0.002101933 0.0015385282 0.0010618012 0.031550664 0.009556211 0.036339603 0.050576407 0.050013002 0.0045072376 0.0221028 0.008299384 0.015601976 0.00810436 0.050684754 0.003532114 0.005742394 0.004268874 0.022557857 0.0022536188 0.0021886106 0.024573112 0.018267313 0.019740833 0.024551444 0.006955881 0.0012351564 0.021907775 0.019004073 0.037249718 0.014886886 0.0017118835 0.0012784953 0.0043555517 0.014951894 0.0011268094 0.0006067435 0.00082343764 0.0007150906 0.00043338822 0.0072375834 5.676831 0.0 1.0 0.0 5.0 2612224.0 2621440.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1526415100.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -112640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -916480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1389568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5911727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9733677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7398334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.303774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -916104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1389332.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1452.0 1114112.0 49332.0 1563508.0 0.0 0.0 112360.0 2506752.0 56.0 2502820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 1115568.0


Input: 0.06761986 0.006092023 0.004180471 0.004596999 0.005191811 0.004341166 0.004149291 0.003638425 0.0052837506 0.0031539411 0.0032234958 0.0034809276 0.005278954 0.004416317 0.0030811885 0.009429844 0.010177356 0.007969997 0.0028469416 0.0027430095 0.0037327632 0.0046881395 0.002809366 0.0027805849 0.00393663 0.0028029701 0.0027797853 0.0028317515 0.0033865892 0.0034057768 0.0027254208 0.0029228919 0.0041860673 0.0027566005 0.0027805849 0.0030588033 0.004305989 0.0035824613 0.0028869153 0.0027829832 0.0034081752 0.0027062334 0.0029468762 0.0034785292 0.0032498785 0.0030963786 0.0027701915 0.002760598 0.0035496827 0.0028301524 0.0027246214 0.0045290436 0.0032882534 0.003302644 0.0028357487 0.0027733895 0.0034201674 0.0033034435 0.0026798507 0.003388188 0.0032482794 0.003524899 0.0027310173 0.0028221577 0.0045258454 0.004110117 0.0040925285 0.003933432 0.0044075227 0.005688287 0.0046305773 0.0051046675 0.003794323 0.0030212277 0.0028469416 0.0029604675 0.003412972 0.0036512164 0.0030092355 0.0029940454 0.004528244 0.0030939803 0.004290799 0.0038263022 0.0036983858 0.00370718 0.0033354226 0.0032754617 0.0032826571 0.0032562744 0.00268065 0.002824556 0.0032298914 0.0034897218 0.0031323552 0.0030052382 0.0035472843 0.003209105 0.0025983038 0.0031323552 0.003488123 0.003653615 0.0037279665 0.0028765223 0.015606612 0.00513185 0.0033634044 0.0027797853 0.003456144 0.0031499437 0.0032426831 0.0034049773 0.00364562 0.002886116 0.0033162353 0.003488123 0.0043419655 0.00415169 0.0028925117 0.0028341499 0.0034009798 0.002902905 0.003031621 0.0029148972 0.0032474801 0.0033498132 0.0030620012 0.0030236263 0.005305337 0.0036328286 0.0028821186 0.005414865 0.005230985 0.007017019 0.003103574 0.0027534026 0.0040389635 0.005945719 0.0030859855 0.010820936 0.0032314905 0.0053636986 0.0028981082 0.0027430095 0.0034233653 0.0027158272 0.0025695227 0.002758999 0.0031483448 0.0030636 0.002775788 0.0027621968 0.0034545448 0.0028085667 0.0027406109 0.002775788 0.0031947144 0.002867728 0.0027701915 0.002981254 0.0037479533 0.0042364346 0.0030148318 0.004655361 0.0032610712 0.0027078323 0.0026398767 0.0027805849 0.0035760656 0.0028773218 0.0028653296 0.0029013061 0.003284256 0.0028085667 0.0028301524 0.0029045038 0.0036720028 0.0029140976 0.0026374783 0.0028197593 0.0032546753 0.0030811885 0.0037631434 0.0030180297 0.006222338 0.0032202979 0.0028381473 0.0028693269 0.0031475453 0.0030620012 0.0032378864 0.003016431 0.0049855453 0.0049231863 0.00323229 0.0050359126 0.0034969172 0.0027222228 0.003648818 0.006462981 0.003988596 0.0031155662 0.0029508737 0.002938082 0.0044890693 0.0027518037 0.0029492746 0.0030803892 0.00381431 0.0030004412 0.0029101004 0.0028341499 0.0032155009 0.0027150277 0.002827754 0.002795775 0.0036528155 0.0028757227 0.0027725901 0.0028733243 0.0035504822 0.0030492095 0.002919694 0.0028213582 0.0041916636 0.002934884 0.0028509388 0.002852538 0.0036911904 0.0029836523 0.0028349494 0.0027414104 0.0053253234 0.0048776157 0.0027685927 0.0030731938 0.0038055158 0.002775788 0.0027949754 0.0029404804 0.0042196456 0.0029037045 0.0027398115 0.0031883186 0.00369199 0.0030875844 0.0033570086 0.0030763918 0.0041996585 0.0032554748 0.0031403499 0.003616839 0.004079737 0.003638425 0.004005385 0.023706125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030253427 0.000116066854 0.00023213371 0.00018410604 0.00047747503 0.00017850281 0.0007288198 0.00052630313 0.00063036307 8.6049564e-05 0.00010606109 0.00013607838 0.00019050973 0.00019971504 0.00046346695 0.00091572746 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055111744 0.00075563526 0.0005363089 0.00077564677 0.0013027504 0.0012211034 0.00087650487 0.0011198451 0.0028144212 0.00033739433 0.0003145812 0.00054751534 0.0013912013 0.0004990875 0.0014092117 0.002718766 0.042936333 0.014008869 0.00699683 0.0075447457 0.012715324 0.009753218 0.013651463 0.007038054 0.019579679 0.005455943 0.0075263353 0.008378826 0.012108174 0.005901399 0.008299981 0.018104829 0.06543169 0.046967052 0.041516714 0.041569144 0.045387343 0.042131867 0.04649278 0.040873144 0.04932401 0.040362448 0.042486474 0.042905115 0.04585241 0.04138424 0.0421859 0.048080493 4561.0 7.014251 31992.0 0.018567141 0.007064266 0.007189297 0.0069392347 0.008064516 0.008095774 0.006251563 0.009033509 0.007845711 0.007564391 0.007939485 0.0075018755 0.0067829457 0.0067516877 0.0073455865 0.0074706175 0.009658664 0.0076581645 0.00672043 0.008752188 0.0073455865 0.0074706175 0.00643911 0.007908227 0.0076894225 0.00815829 0.007220555 0.007939485 0.007970743 0.007064266 0.007564391 0.0075018755 0.0094711175 0.010158789 0.008377094 0.009096024 0.009814953 0.009064767 0.011752938 0.00943986 0.0093773445 0.008377094 0.006845461 0.006220305 0.008658415 0.007814454 0.008064516 0.007814454 0.011127782 0.007970743 0.007845711 0.010190047 0.0095336335 0.0075331335 0.0093773445 0.009939985 0.008658415 0.00743936 0.008033258 0.007033008 0.008970993 0.007251813 0.0076269065 0.010565141 0.009127282 0.019067267 0.009002251 0.015628908 0.013940985 0.03288322 0.009658664 0.010877719 0.023005752 0.026725432 0.008658415 0.007783196 0.017348086 0.01731683 0.020192549 0.026256565 0.015035009 0.011315329 0.02244311 0.026225306 0.025256313 0.011752938 0.008939735 0.008689673 0.010190047 0.010690172 0.009127282 0.007939485 0.008814704 0.007751938 0.008189548 0.007251813 6.4414053 0.0 2.0 0.0 15.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9942575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0