Input: 0.22457397 0.0080059245 0.0049737515 0.0056606377 0.007143324 0.00399788 0.0029552071 0.003220958 0.010911758 0.0023133392 0.0019139868 0.0018820385 0.0069734175 0.0023351219 0.0014913994 0.014829767 0.00665684 0.0015277042 0.0017920028 0.0014449293 0.005146562 0.0029595639 0.002144885 0.0012692143 0.0033792467 0.0041009854 0.0017237498 0.0020185444 0.0053919824 0.0015625567 0.0012024136 0.0016293575 0.0045293816 0.0010731686 0.0011820829 0.0014376683 0.0070097223 0.0016003137 0.00092794956 0.0009366627 0.0016162877 0.0009366627 0.0010339594 0.0020882497 0.00135925 0.001495756 0.001076073 0.0008771229 0.002794014 0.0015756264 0.0016976104 0.006321384 0.0021405285 0.0017687677 0.0015552958 0.0015407739 0.0031164002 0.0039877146 0.0017150367 0.0062240874 0.0043246225 0.0043478576 0.00257909 0.013422594 0.0055706017 0.002128911 0.0013229453 0.001610479 0.003244193 0.013814686 0.003052504 0.001884943 0.0024919584 0.0013723198 0.0009119755 0.0007798262 0.001533513 0.0049345423 0.0014202421 0.00093375833 0.0073001604 0.0021303631 0.0010194376 0.006237157 0.0018834908 0.0032529063 0.005946719 0.004205543 0.002525359 0.0072319075 0.0011138299 0.0016671144 0.0018065247 0.004022567 0.0024643668 0.00529759 0.0017949071 0.002770779 0.0015698177 0.002526811 0.0021869985 0.004146003 0.0080887 0.0012663099 0.002799823 0.0028027273 0.0049810125 0.0012880928 0.003030721 0.0020722756 0.002915998 0.0025442373 0.0038686348 0.00079725246 0.0031701312 0.0037451987 0.014839932 0.014010732 0.0017469849 0.0020621102 0.010519667 0.0011733697 0.00083065283 0.00070576445 0.0018689688 0.0046063475 0.0016976104 0.0022015204 0.0046426523 0.0026037772 0.0010731686 0.016547708 0.0035288224 0.006954539 0.0008480791 0.00081613095 0.0020490405 0.009734032 0.0017513415 0.018707115 0.0011922482 0.007516537 0.00081467873 0.0008422704 0.001381033 0.000663651 0.0007638521 0.0007333561 0.0012067701 0.00081613095 0.0006360593 0.00062444183 0.0012111267 0.0009962026 0.0006520334 0.00077111303 0.0011254475 0.00074352144 0.000717382 0.0009526368 0.001495756 0.0013403717 0.0006912426 0.0010905949 0.0011298041 0.0008509835 0.00075659115 0.00058378046 0.0013229453 0.00079580024 0.00069414696 0.0006854338 0.0011486826 0.000572163 0.0007420692 0.000625894 0.0013563457 0.0008103222 0.00070866884 0.0007580433 0.0011806306 0.0007507824 0.0018980127 0.0020577535 0.0017716722 0.0010891428 0.0009206886 0.0007943481 0.0016976104 0.0015088257 0.0014623556 0.0029261634 0.008127909 0.0033603683 0.0020388751 0.006206661 0.005756482 0.0013752242 0.002931972 0.004572947 0.0029058328 0.002611038 0.0013781285 0.0011719175 0.0023031738 0.0010354116 0.0012387183 0.0011544912 0.0023728788 0.0014565468 0.0016830885 0.0012430749 0.0015175388 0.0009264974 0.0012546924 0.0010978559 0.0027504484 0.002059206 0.0010586467 0.0022218511 0.0020330665 0.002083893 0.0010789774 0.0010717164 0.0038483043 0.0014173377 0.0013185887 0.0010542901 0.0026400818 0.00093085394 0.0012125788 0.0010107245 0.016491072 0.0037597206 0.0010905949 0.006134052 0.0038758959 0.0009613499 0.0012851884 0.0019662657 0.0044669374 0.0012939015 0.003167227 0.0022029725 0.0022349209 0.00093230617 0.0035956232 0.0034838044 0.0054704007 0.0021681201 0.0016772797 0.0028070838 0.006134052 0.0040196627 0.0056780637 0.042589836 0.105770014 1.4553838e-06 0.0 3.6384595e-06 4.366151e-06 0.0 0.0 3.6384595e-06 6.549227e-06 0.0 0.0 0.0 0.0 0.0 2.9107675e-06 1.9647681e-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 0.0027455816 4.729997e-05 1.3826146e-05 9.4599945e-06 2.9835366e-05 9.4599945e-06 1.0187687e-05 3.2746135e-05 1.0915378e-05 8.00461e-06 9.4599945e-06 9.4599945e-06 7.276919e-06 7.276919e-06 3.6384595e-06 2.6196907e-05 0.0013287654 4.0023053e-05 3.7839978e-05 0.0 2.1830756e-05 1.600922e-05 2.1830756e-05 1.8192297e-05 7.276919e-07 0.0 0.0 0.0 0.0 7.276919e-07 7.276919e-07 3.6384595e-06 0.003729421 3.420152e-05 5.821535e-05 6.621996e-05 9.241687e-05 4.0750747e-05 0.00024595985 0.000114247625 1.2370762e-05 1.4553838e-06 2.4741525e-05 7.276919e-06 2.0375373e-05 8.732302e-06 3.6384595e-06 1.0915378e-05 0.0012334377 1.8919989e-05 5.821535e-06 2.328614e-05 1.6736913e-05 1.0187687e-05 1.164307e-05 1.8192297e-05 1.6736913e-05 2.0375373e-05 1.600922e-05 2.1830756e-05 2.1830756e-05 2.1830756e-05 2.1103064e-05 1.2370762e-05 0.00251272 9.096148e-05 9.168917e-05 4.2206128e-05 6.621996e-05 0.00030708598 0.0016715082 0.0010347778 1.8192297e-05 1.4553838e-05 1.8192297e-05 1.3098454e-05 1.9647681e-05 1.528153e-05 2.6196907e-05 1.8919989e-05 0.0041864114 0.00015572605 5.4576893e-05 0.00070222263 8.0046106e-05 0.0025236355 0.00745302 0.0048406064 3.129075e-05 3.056306e-05 3.492921e-05 4.0023053e-05 4.8755355e-05 7.276919e-05 4.293382e-05 0.00056687195 0.0064677256 0.00055377354 0.00027433984 0.0001244353 0.00032309518 0.0005188443 0.0011897762 0.0012312547 0.00014699376 4.8755355e-05 4.1478437e-05 3.492921e-05 0.000119341465 0.00020375372 9.459994e-05 0.0020397203 0.0060231057 0.0004118736 0.00056759967 0.0007997334 0.0013025685 0.0011068194 0.0033284626 0.0020535465 0.0001972045 0.00012079685 0.00010842609 0.000119341465 0.00018046758 0.000413329 0.0006098058 0.0005406751 0.0091929315 0.0005173889 0.0007946395 0.0007233257 0.0009860225 0.0006723873 0.0033808565 0.001979322 0.00030708598 0.00028016136 0.00034419826 0.00063018117 0.00083611795 0.00058870274 0.00053994736 0.0005814258 0.012014921 0.001839605 0.0013797038 0.00988715 0.0016162037 0.0013724269 0.0023861018 0.002212911 0.0012276162 0.0010544255 0.0010544255 0.0009794732 0.0010704348 0.0009430887 0.001114824 0.0015754529 0.008910587 0.000951821 0.0006913073 0.0022143663 0.0015536222 0.00083684566 0.0009831117 0.0013040239 0.0020295326 0.00046426742 0.00047736586 0.0006229042 0.0009787455 0.0005734212 0.0009605533 0.0017828451 0.044467796 0.007772477 0.0057589537 0.007959493 0.009548045 0.009420699 0.0070818975 0.012328556 0.019307848 0.002423214 0.0024101154 0.004539342 0.010219704 0.005046543 0.009180561 0.019881997 0.086944625 0.02855463 0.016454568 0.027092697 0.02859174 0.038431592 0.016241355 0.038013168 0.05360833 0.0064830068 0.007023682 0.010598104 0.031380985 0.014587311 0.03137953 0.06088889 0.0069829314 0.0029675274 0.0029886304 0.009548773 0.0028132568 0.0029107674 0.0028241721 0.0027339384 0.0028183507 0.003032292 0.0029384198 0.0040677977 0.0033160918 0.0034376164 0.0050836555 0.0041289236 4504.0 9.196492 41421.0 0.016706502 0.0010864055 0.0013519712 0.0017141064 0.0035489243 0.0011346901 0.0012795442 0.0021003839 0.002462519 0.0010622632 0.0012312595 0.00195553 0.0021003839 0.003717921 0.002462519 0.001689964 0.009318944 0.005625166 0.00731513 0.008063543 0.008015258 0.0043214792 0.007894546 0.0048767533 0.006977137 0.008980951 0.0062287245 0.008763671 0.009415514 0.006808141 0.0065908595 0.014557833 0.012047029 0.0071461336 0.0032833586 0.0053113154 0.0039834864 0.0049008955 0.0050457497 0.0036937785 0.0060114437 0.00422491 0.0015692523 0.0013278289 0.003162647 0.0022210956 0.0029936505 0.0024866613 0.014799257 0.0031143622 0.0032109316 0.058376186 0.004273195 0.008811955 0.031698897 0.021993674 0.004152483 0.0054320274 0.0037420632 0.0017141064 0.0017382487 0.0024866613 0.0037903478 0.059317738 0.0025108038 0.027980976 0.012216026 0.02761884 0.014823399 0.04780184 0.017116921 0.00844982 0.009753507 0.032471452 0.0058907317 0.0041041984 0.03008136 0.01895174 0.03329229 0.027667126 0.02431134 0.0009415514 0.031892035 0.0383139 0.05347529 0.016851356 0.007170276 0.012843726 0.00782212 0.00618044 0.0021245263 0.0010381207 0.0022452378 0.0022210956 0.0019072451 0.0025108038 5.78777 0.0 0.0 0.0 4.0 688615.0 696320.0 1.0 1466.0 161.0 1.0 1.0 0.0 0.0 0.0 1165042200.0 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 8.0 0.0 4.0 0.0 4.0 0.0 405504.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 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 176128.0 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 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -405504.0 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 -6.4557176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.771632 0.0 0.0 -0.5589049 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5932198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7935658 0.0 3.3803053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14310.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176092.0 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 -26956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -403242.0 0.0 976.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 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 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -3.0 -3.0 3.0 -5.0 3.0 -1.0 -1.0 4.0 -3.0 7.0 4.0 -4.0 0.0 1.0 -5.0 1.0 3.0 2.0 5.0 1.0 5.0 1.0 7.0 -3.0 -3.0 0.0 -4.0 1.0 0.0 -6.0 -1.0 3.0 4.0 1.0 2.0 -3.0 2.0 6.0 -4.0 7.0 2.0 -3.0 3.0 4.0 0.0 -7.0 -5.0 -8.0 -2.0 -2.0 1.0 2.0 -1.0 3.0 1.0 -2.0 -1.0 4.0 -2.0 2.0 -5.0 -2.0 -1.0 -3.0 1.0 -11.0 -3.0 0.0 3.0 8.0 -5.0 -5.0 5.0 7.0 0.0 7.0 -1.0 4.0 1.0 -1.0 -4.0 -3.0 -1.0 0.0 0.0 10.0 -5.0 -1.0 5.0 -2.0 -4.0 4.0 0.0 0.0 -2.0 -7.0 2.0 -4.0 -4.0 3.0 -2.0 3.0 -3.0 -2.0 4.0 10.0 -3.0 -3.0 3.0 -2.0 -4.0 -1.0 -1.0 3.0 -1.0 4.0 3.0 0.0 0.0 3.0 3.0 1.0 3.0 1.0 0.0 -2.0 32268.0 553424.0 60.0 549712.0 976.0 614400.0 0.0 0.0 0.0 0.0 13128.0 618496.0 28.0 410320.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 542424.0 0.0 0.0 652.0 409600.0 0.0 0.0 0.0 0.0


Input: 0.10921556 0.008159849 0.0047803163 0.0040590456 0.00634908 0.0033804816 0.0034545069 0.0034516596 0.008333523 0.0029126047 0.002874643 0.0030037127 0.0061735073 0.0027607584 0.0025130587 0.0069536185 0.005866967 0.0026753447 0.002348875 0.0024153076 0.004043861 0.0030207953 0.0025092626 0.0022473275 0.0033681442 0.002520651 0.0020765003 0.0022757987 0.0031223428 0.0022017735 0.0022653593 0.0023109133 0.0043399613 0.00254153 0.0024380847 0.0024390337 0.0039480077 0.0023393845 0.0022264486 0.0022122131 0.0027218477 0.0022473275 0.002259665 0.0031593554 0.0026089118 0.0032324314 0.0023868363 0.0022283467 0.0036651937 0.0028082104 0.002776892 0.0051343082 0.0030103559 0.0027322872 0.0026288417 0.002750319 0.0033985134 0.0032571065 0.0030302857 0.0043057958 0.003319743 0.0030654003 0.0027000196 0.003977428 0.004369382 0.003035031 0.003433628 0.0031308841 0.0031584061 0.013958485 0.0062883412 0.0044007 0.0034696914 0.0023346392 0.0025121097 0.0022425824 0.0026563639 0.010254381 0.0024551672 0.004048606 0.0067030718 0.0040656887 0.0030910245 0.003176438 0.002777841 0.0074262405 0.004032472 0.0034250866 0.0026459245 0.0037325756 0.0020878888 0.0024893328 0.002468454 0.0043247766 0.0029932733 0.0030160502 0.002515906 0.0031375273 0.0023450786 0.0026630072 0.0035607994 0.0039726826 0.0039821733 0.002516855 0.0034753857 0.0028290893 0.0043437574 0.0024798424 0.0033947174 0.002448524 0.0029277895 0.0030540118 0.0030777378 0.00211636 0.0036832255 0.0034867742 0.00713014 0.008068741 0.0026886312 0.0025244474 0.0026525678 0.002420053 0.0022065188 0.0020916848 0.0026203003 0.003483927 0.0024067662 0.002639281 0.0036025571 0.0026212493 0.002164761 0.009939299 0.0035579521 0.0067362883 0.002139137 0.0021116147 0.0032381257 0.011429293 0.0029733432 0.026832217 0.0024969252 0.009419225 0.0020366407 0.0019863413 0.002638332 0.002117309 0.0020575195 0.0022757987 0.0025681031 0.0029069106 0.0021049716 0.0019778002 0.0024864858 0.0021040223 0.0020271502 0.0021685571 0.0024788934 0.0022682063 0.0020081694 0.0021239521 0.00315461 0.0027256438 0.0021543216 0.0023906326 0.0024172058 0.0022093658 0.002021456 0.0019778002 0.0026639563 0.001956921 0.0019891886 0.002069857 0.0024067662 0.002141984 0.0021049716 0.0020518252 0.0026544658 0.00206701 0.002067959 0.0020973792 0.0025823386 0.0022482765 0.0031138014 0.00259088 0.003389972 0.002356467 0.0022055698 0.0021116147 0.002705714 0.002515906 0.00240297 0.0024115115 0.006301628 0.0036367225 0.0034051568 0.004234618 0.0044082925 0.0024959762 0.003743964 0.004832513 0.0036329264 0.0031365782 0.0022957285 0.0024969252 0.010837091 0.0021761495 0.0024817404 0.0024769953 0.0032865268 0.0025291925 0.0025462753 0.0022055698 0.0027626564 0.0020878888 0.002423849 0.0021770985 0.003433628 0.0023688048 0.0021239521 0.0024058172 0.0028898278 0.0024115115 0.0021078186 0.0021704552 0.003598761 0.0022302447 0.0022179072 0.002189436 0.0032590046 0.002823395 0.0021362898 0.0021030733 0.012387823 0.0036803784 0.0021286975 0.004713883 0.006000782 0.0020783984 0.002114462 0.0021676081 0.005159932 0.0023972758 0.0023374863 0.0023963267 0.003883473 0.0021343918 0.0033320806 0.0028566115 0.004848647 0.002756962 0.0026146062 0.0023109133 0.006585391 0.0033093037 0.0050242194 0.031458788 0.026247017 2.3749087e-06 4.7498176e-07 0.0 2.3749087e-06 2.8498905e-06 1.899927e-06 0.0 4.7498176e-07 1.4249453e-06 1.4249453e-06 4.7498176e-07 0.0 2.3749087e-06 9.499635e-07 4.7498176e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009129149 2.3749087e-06 3.799854e-06 4.7498174e-06 3.3248723e-06 5.699781e-06 2.8498905e-06 4.2748356e-06 7.1247264e-06 5.224799e-06 2.8498905e-06 4.2748356e-06 2.8498905e-06 3.799854e-06 3.3248723e-06 3.3248723e-06 0.0008483174 4.7498174e-06 8.549671e-06 4.2748356e-06 3.4198685e-05 4.2748356e-06 9.499635e-07 1.6149379e-05 2.3749087e-06 2.8498905e-06 2.8498905e-06 3.3248723e-06 6.174763e-06 4.7498176e-07 2.8498905e-06 3.0398833e-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 0.0015816892 4.7023193e-05 4.369832e-05 8.0746895e-06 5.367294e-05 2.422407e-05 5.3197957e-05 2.0424215e-05 1.092458e-05 1.5674397e-05 1.092458e-05 7.599708e-06 1.7099343e-05 9.499635e-07 9.024653e-06 4.1323412e-05 0.0066250456 0.00012254529 0.00023844084 3.847352e-05 0.00050205574 0.00013726973 0.0006977482 0.00031633786 3.9423485e-05 0.00017431831 3.4198685e-05 4.4173303e-05 4.037345e-05 2.2324142e-05 4.4173303e-05 0.00065072504 0.011383888 0.0002892639 0.0007058229 0.00013489481 0.0012705763 0.0002469905 0.000963738 0.00051488023 0.00010544595 0.00017479328 6.4597516e-05 0.00014724434 8.359679e-05 7.124726e-05 0.00011019577 0.0012425523 0.006410829 0.00021374179 0.00051440526 0.00020091729 0.00080556906 0.00015816893 0.0013389736 0.00075759593 8.882159e-05 4.9398102e-05 0.000104021005 0.00013346988 0.00010212108 6.364755e-05 0.00014724434 0.00058422756 0.0071503753 0.0002892639 0.0006906235 0.00031443793 0.001640587 0.0005357794 0.0024860546 0.0012145283 9.784624e-05 8.929657e-05 0.00024841545 0.00022039154 0.00014154456 7.02973e-05 0.00011114573 0.00026361487 0.005603835 0.00022039154 0.0006127265 0.0004531326 0.001771207 0.00064170035 0.0026133496 0.0015052172 0.00017241838 0.00016529365 0.00014344449 0.000120170385 0.000130145 0.00010497097 0.000106870895 0.0002265663 0.0048970617 0.00081459375 0.0011361564 0.008765789 0.0015180417 0.00083026814 0.0013370736 0.00104306 0.00089534064 0.0007119977 0.0006269759 0.0006350506 0.00069109845 0.0006345756 0.00063837547 0.0010891332 0.012047437 0.0012620265 0.0011850795 0.002002048 0.005440916 0.0032721492 0.0013508481 0.0013674725 0.010457673 0.0009798873 0.00082219345 0.0010815335 0.004456754 0.0012796009 0.003386145 0.008946757 0.03768648 0.0058213766 0.003980347 0.0048125153 0.017074645 0.012565643 0.00469282 0.0074857124 0.03163711 0.002134568 0.002374909 0.0037100825 0.017159667 0.0037642305 0.012533343 0.023228033 0.026226118 0.0060821413 0.0038734763 0.005341645 0.011261343 0.0102857305 0.00416844 0.009084026 0.020088404 0.0017056596 0.0020614208 0.0030949812 0.010116637 0.0038050788 0.008954831 0.016846178 0.03036511 0.030122869 0.03035371 0.03036226 0.030420206 0.029786581 0.029958049 0.030004123 0.029758558 0.030120019 0.029963274 0.03034801 0.029680185 0.030138068 0.02982458 0.03031191 3816.0 9.189989 35069.0 0.023924263 0.004533919 0.005817103 0.0046479795 0.013487696 0.00536086 0.004533919 0.006472953 0.0069862274 0.004733525 0.004590949 0.006843651 0.0071573183 0.007642077 0.009695172 0.004590949 0.014485728 0.011662722 0.012404118 0.0103225075 0.012917391 0.011263509 0.011662722 0.011149448 0.014999002 0.013202543 0.014143545 0.011691237 0.016025549 0.010636174 0.011063903 0.018278252 0.027631242 0.009866264 0.0046194643 0.00792723 0.009324474 0.0066155293 0.007271379 0.006587014 0.007242864 0.0058741337 0.005389375 0.0049901623 0.007898714 0.005731558 0.0056745275 0.0045624343 0.012888876 0.005817103 0.0055604666 0.008982292 0.00869714 0.0067295902 0.011092418 0.010293992 0.007271379 0.005047193 0.004305797 0.005275314 0.0059596794 0.0055319513 0.0055319513 0.013715818 0.007642077 0.024409022 0.0109213265 0.015997034 0.019105192 0.035073712 0.009381505 0.008440503 0.009894779 0.020302832 0.006815136 0.0058741337 0.01793607 0.010607659 0.018363796 0.027859364 0.01209045 0.004533919 0.026176965 0.021243833 0.03669908 0.012603724 0.008440503 0.005246799 0.009381505 0.008611594 0.004590949 0.0046479795 0.006558499 0.004505404 0.0044768886 0.004733525 6.341688 0.0 0.0 0.0 14.0 1053696.0 1069056.0 1.0 0.0 81.0 1.0 1.0 0.0 1.0 0.0 1541678700.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 396288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5802526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.580337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4158845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5230064 0.0 3.4436426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395784.0 0.0 6080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1022104.0 6080.0 1040384.0 0.0 0.0 0.0 0.0 18540.0 1048576.0 28.0 462176.0 0.0 0.0 0.0 0.0 24.0 462368.0 64.0 462208.0 0.0 0.0 328.0 401408.0 0.0 0.0 0.0 0.0


Input: 0.21980406 0.035109747 0.026336186 0.009595114 0.017345611 0.0066189235 0.014260912 0.0070374506 0.008045015 0.005378844 0.022414435 0.0035187253 0.0030071924 0.0026196677 0.005983383 0.0022011409 0.003999256 0.012230283 0.022398934 0.005642361 0.0027126735 0.010804191 0.0043092757 0.0035342262 0.001984127 0.0024336558 0.0034257192 0.0026041667 0.0025111607 0.0027126735 0.004712302 0.0026506695 0.0070529515 0.005859375 0.0025421628 0.0013640873 0.0017981151 0.0034722222 0.0023406497 0.0009300595 0.01046317 0.0012555803 0.0067274305 0.00609189 0.002170139 0.0034102183 0.0052393354 0.0013950893 0.0047278027 0.0029761905 0.001953125 0.0012090774 0.0012400794 0.0011780754 0.0015345982 0.0015035962 0.0016586061 0.001953125 0.0013485863 0.0016121032 0.0034722222 0.002061632 0.0028521826 0.0007595486 0.00091455854 0.0048053074 0.00187562 0.003983755 0.0030381945 0.0033172122 0.0029761905 0.0022166418 0.0011160715 0.0036582341 0.00054253475 0.0011470735 0.001984127 0.0034412201 0.0017051091 0.0029761905 0.0026661707 0.0029761905 0.0023251488 0.0050843256 0.0029141866 0.0009765625 0.00089905754 0.0014880953 0.00044952877 0.0013795883 0.0003875248 0.0003875248 0.0008215526 0.00069754466 0.0004030258 0.00827753 0.0011625744 0.01686508 0.00421627 0.009719122 0.0083550345 0.031637523 0.0032242064 0.005518353 0.0034567213 0.015376984 0.0012710814 0.002123636 0.009967138 0.008680556 0.016028026 0.024274554 0.0068049356 0.0008215526 0.0150824655 0.016198536 0.022057911 0.005983383 0.002077133 0.0009455605 0.0024956597 0.0064794146 0.00086805556 0.0047278027 0.001813616 0.004030258 0.001906622 0.00052703376 0.008975075 0.008200025 0.0031156994 0.001813616 0.0006355407 0.0016586061 0.0023096479 0.0002480159 0.00032552084 0.0013795883 0.00052703376 0.002247644 0.0006045387 0.0007750496 0.0024801588 0.00031001985 0.00044952877 0.00086805556 0.0002015129 0.0005890377 0.0006200397 0.0016276041 0.0008060516 0.00027901787 0.00043402778 0.0004960318 0.00031001985 0.00044952877 0.0010230655 0.0012245784 0.00027901787 0.0003875248 0.0007595486 0.0005890377 0.00074404763 0.00069754466 0.00044952877 0.00069754466 0.0007595486 0.0002015129 0.0004960318 0.0032242064 0.00035652283 0.00055803574 0.0005890377 0.00091455854 0.00054253475 0.00018601191 0.00046502976 0.0011470735 0.00031001985 0.0003875248 0.00046502976 0.0006510417 0.00023251488 0.0004960318 0.00026351688 0.0008370536 0.00035652283 0.00057353673 0.00054253475 0.0006510417 0.0010075645 0.00057353673 0.0004960318 0.00088355655 0.00032552084 0.00069754466 0.00052703376 0.0013020834 0.0006045387 0.00035652283 0.00035652283 0.00052703376 0.0004960318 0.00035652283 0.0007905506 0.0004960318 0.00029451886 0.0002015129 0.0012710814 0.0004185268 0.0003875248 0.00029451886 0.0008215526 0.0004030258 0.00032552084 0.00055803574 0.0004030258 0.0004960318 0.00034102183 0.00027901787 0.0009300595 0.0007750496 0.0013175843 0.00027901787 0.0005890377 0.00091455854 0.00017051092 0.00031001985 0.00068204367 0.00037202382 0.00035652283 0.0002015129 0.00026351688 0.00074404763 0.00013950893 0.00051153277 0.0005890377 0.00055803574 0.00027901787 0.0006045387 0.00032552084 0.0004960318 0.00032552084 0.0002015129 0.0004185268 0.0014415922 0.00035652283 0.00029451886 0.0003875248 0.0006510417 0.00032552084 0.00026351688 0.00037202382 0.0005890377 0.002247644 0.0010075645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011639995 0.00016538559 0.00029926916 0.0005276588 0.0004016507 0.00037802418 0.001795615 0.00067729334 3.937752e-05 1.5751008e-05 3.937752e-05 3.937752e-05 3.1502015e-05 1.5751008e-05 3.1502015e-05 3.1502015e-05 0.021799395 0.0010395666 0.003221081 0.0015435988 0.018019153 0.01257718 0.10205078 0.04888325 7.875504e-05 4.7253023e-05 6.300403e-05 5.5128527e-05 3.937752e-05 8.663054e-05 3.937752e-05 0.00013388357 0.07871566 0.010246031 0.013404108 0.004599294 0.0048985635 0.0036542339 0.023020098 0.015947895 0.0012994582 0.0004095262 0.00044890374 0.00037802418 0.00057491177 0.0012600806 0.000889932 0.0015435988 0.12903225 0.027138988 0.018704321 0.008600051 0.0061586443 0.006426411 0.019578503 0.01702684 0.008584299 0.0024886592 0.0024807837 0.0024650327 0.0021263862 0.0027958038 0.0015593498 0.0028981855 0.038424585 0.023185484 0.003937752 0.0016066028 0.0023626513 0.0022051411 0.0041503906 0.0025437877 0.011750252 0.0009765625 0.00092143397 0.0014648438 0.0011734501 0.00070091983 0.00049615675 0.0008741809 0.076857045 0.021051222 0.01476657 0.011143838 0.0053789695 0.004654423 0.006623299 0.005063949 0.0092064645 0.0043945312 0.0041661416 0.0025359122 0.0032447076 0.0028824345 0.0027091734 0.0027406754 0.015625 0.0041582664 0.0048513105 0.0022917716 0.0017326109 0.0016459803 0.0048513105 0.0026461694 0.0033785913 0.0009608115 0.0024729082 0.000905683 0.0007166709 0.0006221648 0.0008190524 0.0007087954 0.011576991 0.002638294 0.0030793222 0.0018586189 0.0011340725 0.0009765625 0.0012285786 0.00094506046 0.001795615 0.0008820564 0.0013152092 0.0012285786 0.00092143397 0.00101594 0.0008190524 0.00084267894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 955.0 16.914137 16153.0 0.00055717205 6.1908e-05 0.0 0.000247632 6.1908e-05 0.0 0.000123816 0.0 6.1908e-05 6.1908e-05 0.000123816 0.000990528 0.000123816 6.1908e-05 0.010338637 0.000123816 0.0038382963 0.0052002724 0.0040240204 0.0008667121 0.0008667121 0.00074289605 0.00074289605 0.00074289605 0.00055717205 0.0019191481 0.000123816 0.000123816 0.008109949 0.00030954002 0.008048041 0.0 6.1908e-05 0.011143441 0.004395468 0.0117006125 0.008543305 0.0061288923 0.009410017 0.0058812606 0.0021048721 0.009471925 0.0 0.0014857921 0.0051383646 0.007924224 0.0042716525 0.0077385004 0.0076146848 0.00030954002 0.0064384323 0.015910357 0.0087290285 0.0014857921 0.0017334241 0.0030334922 6.1908e-05 0.0 0.0 0.0 0.000495264 0.0 0.0 0.030830186 0.0021048721 0.054788586 0.013743577 0.031696897 0.02792051 0.11310592 0.010276729 0.020367734 0.011019625 0.051878907 0.0036525722 0.0069956044 0.033616047 0.027858602 0.057574444 0.05893642 0.020243917 0.0010524361 0.049897853 0.049216863 0.080480404 0.018200953 0.00526218 0.0017953322 0.0065003405 0.019439114 0.0010524361 0.0 6.1908e-05 0.0 6.1908e-05 0.0 5.0405173 1.0 0.0 0.0 1.0 64512.0 90112.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3361987600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 62464.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.176929 0.0 3.262679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62252.0 0.0 1004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 70353.0 1004.0 73728.0 0.0 0.0 0.0 0.0 12.0 81920.0 84.0 70116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.2491008 0.013058786 0.009937874 0.008664985 0.0036405784 0.004385043 0.0017837958 0.0020173534 0.004919306 0.0014188621 0.0023093002 0.0019268498 0.0020757427 0.0025136631 0.0010101364 0.0065104165 0.0038215853 0.0015356409 0.0007824178 0.0008378877 0.0017254064 0.0033369535 0.0012057408 0.0016203055 0.0032260136 0.001567755 0.00095758593 0.0009926195 0.0007094311 0.0011006399 0.0007240284 0.0012553718 0.010261935 0.00075614254 0.00097510277 0.0012845665 0.017510977 0.0014480568 0.0006101691 0.00094882754 0.002557455 0.0009429886 0.0007444647 0.0020027559 0.0009429886 0.0010743648 0.0012874859 0.0009897001 0.004023029 0.00089043815 0.0010714453 0.006624276 0.001617386 0.00085540453 0.00067147793 0.0006743974 0.0029866172 0.0013838285 0.00104517 0.00533679 0.0009605054 0.0011356736 0.0005868133 0.0010510089 0.0054769246 0.00885767 0.0012232576 0.0018918162 0.008288373 0.0047674933 0.0010831231 0.0012232576 0.040338308 0.0060287043 0.0011093983 0.0013108418 0.009555424 0.0025545356 0.0009663444 0.001007217 0.002755979 0.00081161247 0.0012115798 0.0017867152 0.003395343 0.0016524197 0.0012991639 0.0019093329 0.0018888967 0.00069191423 0.00071235053 0.0013663117 0.0039471225 0.0014276205 0.0010422505 0.0025049048 0.0019881586 0.0032522888 0.0012232576 0.00330192 0.0037340014 0.0046857484 0.004060982 0.0012874859 0.0020231924 0.0030771208 0.00089919654 0.0011969825 0.004297459 0.0019122524 0.0032084968 0.0035442358 0.0034887658 0.0007911762 0.0040726596 0.0032172552 0.009969988 0.00533679 0.0014451373 0.0015648355 0.001804232 0.0013371169 0.0007911762 0.0009897001 0.0023764481 0.0011356736 0.0010626868 0.0016611781 0.0026975896 0.0017254064 0.00091087446 0.009695558 0.004980615 0.0043500094 0.00094882754 0.0007882567 0.002481549 0.011111501 0.0017691985 0.025764316 0.0018655409 0.010378714 0.0011035594 0.0012699692 0.002020273 0.0011181567 0.0012057408 0.0014918488 0.0016553391 0.0012904054 0.0010334922 0.0009459081 0.0018071515 0.0011882241 0.0011064789 0.0021282933 0.0015531577 0.0010568479 0.0010539284 0.0018246684 0.0022421526 0.001380909 0.0011181567 0.0012203382 0.0014042647 0.0012670497 0.001331278 0.0011677877 0.0017925542 0.0013955063 0.0016115471 0.001293325 0.0013663117 0.0014509762 0.001853863 0.0012582913 0.002458193 0.0012904054 0.001903494 0.0014597346 0.0017925542 0.0013575533 0.001958964 0.0019268498 0.003339873 0.0025399383 0.0023443338 0.0019122524 0.0018655409 0.0013050028 0.0017283258 0.0023968844 0.007339546 0.004303298 0.0025749719 0.0053543067 0.0041573243 0.0020348702 0.002960342 0.0038478605 0.0038099075 0.0040463847 0.0020815816 0.002855241 0.0064724637 0.0022363134 0.0022684278 0.002761818 0.002855241 0.002320978 0.0030946375 0.0016991312 0.0014538957 0.0018071515 0.0014684931 0.0016261444 0.0026012473 0.0019385277 0.0018421852 0.0020261118 0.001194063 0.001529802 0.0010130559 0.001331278 0.0031822217 0.0012203382 0.0016407418 0.0015356409 0.0013750701 0.0010568479 0.0011327541 0.0010218143 0.0128018735 0.0031938995 0.0017108091 0.0044259154 0.0036872898 0.0015998692 0.0012378551 0.0014247011 0.002481549 0.0013458753 0.0013984258 0.0011619488 0.0010364116 0.00084080716 0.0014363789 0.0016874532 0.0031150738 0.0013663117 0.0012874859 0.0009634249 0.0014947683 0.0017400037 0.003564672 0.06012063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027977196 2.3460962e-05 2.3460962e-05 5.8652404e-06 2.785989e-05 1.3196791e-05 4.6921923e-05 2.199465e-05 8.797861e-06 5.8652404e-06 7.3315505e-06 2.9326202e-06 1.4663101e-06 1.0264171e-05 0.0 5.8652404e-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 0.007225976 0.00013343421 8.651229e-05 5.571978e-05 0.00010410802 5.718609e-05 7.33155e-05 6.8916575e-05 6.305133e-05 8.797861e-06 1.1730481e-05 1.0264171e-05 2.492727e-05 2.0528341e-05 5.132085e-05 0.0010132203 0.0047655078 0.00015249624 0.00014223208 1.906203e-05 0.0002478064 0.00012610266 8.3579675e-05 7.33155e-05 3.079251e-05 1.1730481e-05 4.8388232e-05 2.0528341e-05 1.906203e-05 4.8388232e-05 5.2787163e-05 0.00016422673 0.010520775 0.00025367163 0.00033871763 0.00024487378 0.0003181893 0.00020674971 0.00033138608 0.00021408127 0.00021261496 8.79786e-05 9.5310155e-05 7.918074e-05 0.000108506945 4.6921923e-05 0.0002184802 0.0017375774 0.011818459 0.00039883633 0.00069649727 0.0006407775 0.00032405453 0.00023460962 0.0010733389 0.00062318175 0.000107040636 0.00010557433 0.0010733389 8.3579675e-05 0.000121703735 0.00015249624 0.00012317004 0.00044135933 0.011516399 0.00023607592 0.0010132203 0.00050734327 0.00057772617 0.00041789838 0.0028695688 0.0014941699 0.0002463401 0.00032845346 0.00013929946 0.00013490053 0.00011437218 0.0001026417 0.0001319679 0.0011906438 0.037038993 0.002813849 0.0046027475 0.0023842202 0.00408514 0.003457559 0.014539931 0.008063239 0.00067450263 0.0010880021 0.00059385557 0.0006833005 0.00088418496 0.0006495754 0.0007698128 0.0017551731 0.033449464 0.0026041667 0.0028314446 0.0015073668 0.0032420116 0.0017053186 0.0053608296 0.0030616554 0.0037684168 0.001508833 0.0014369838 0.002180403 0.0018607475 0.0015190972 0.0017801004 0.004255232 0.043106582 0.001277156 0.0015337603 0.0010132203 0.0018138256 0.0015777496 0.0017053186 0.0015000352 0.00323468 0.0032933324 0.0045411624 0.006824207 0.0074224616 0.006834471 0.0066907727 0.015739372 0.042891037 0.0014941699 0.0021760042 0.0017844994 0.003159898 0.002610032 0.0033681141 0.0035455378 0.005929758 0.006806611 0.007626279 0.008803725 0.008366765 0.0064107077 0.0047699064 0.019386085 0.076990075 0.010283233 0.020323057 0.013047227 0.053823844 0.012126384 0.008670291 0.013797978 0.04469313 0.007003097 0.0057831267 0.009192298 0.02532904 0.009330131 0.018185178 0.025776265 0.03213565 0.005652625 0.010176192 0.009476762 0.027940538 0.0057186093 0.004711254 0.008187875 0.023041597 0.0021730715 0.0017243807 0.0034692895 0.014956363 0.0045660897 0.009465031 0.013781848 0.00043109516 0.00014956362 0.00016129411 0.00015102993 0.00020088447 0.00015396255 0.0002331433 0.00015249624 0.00015249624 0.00014956362 0.00017155828 0.00022287913 0.00015102993 0.00022434544 0.00014809732 0.00014956362 1756.0 12.20729 21436.0 0.06521739 0.0013995148 0.0035454375 0.0014928158 0.01898675 0.009236798 0.00055980595 0.0025191267 0.0035454375 0.003125583 0.0013995148 0.0034521366 0.0016327673 0.0041052434 0.007137526 0.0026124276 0.007930584 0.0020526217 0.0039186417 0.006297817 0.0045717484 0.0011662623 0.0020526217 0.0009796604 0.0066710208 0.0043851463 0.0033121852 0.006251166 0.0021925732 0.0019593209 0.0019593209 0.0010263108 0.0073241275 0.041332338 0.0018660198 0.0062045157 0.010869565 0.012362381 0.004338496 0.005271506 0.022158984 0.007464079 0.005084904 0.0016794178 0.010029856 0.005224855 0.0033588356 0.0041985447 0.00657772 0.00088635937 0.006437768 0.009376749 0.014041799 0.009889904 0.010169808 0.011476021 0.0032655345 0.0013528643 0.0011662623 0.002472476 0.013855197 0.0076973317 0.006391118 0.019499907 0.004058593 0.037273746 0.005971263 0.02178578 0.022858743 0.059152827 0.018613547 0.010263109 0.009236798 0.03484792 0.0043851463 0.0034521366 0.029809667 0.016327674 0.035640977 0.040026125 0.014741557 0.0011196119 0.039373018 0.03027617 0.04879642 0.01702743 0.008863594 0.0039186417 0.006437768 0.0055047586 0.0015394663 0.0020526217 0.0028923308 0.0017727187 0.00055980595 0.0013995148 5.7643957 4.0 0.0 0.0 3.0 342528.0 430080.0 0.0 0.0 147.0 1.0 1.0 0.0 0.0 0.0 1413624800.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 2.0 5.0 2.0 167424.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 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 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -167424.0 0.0 113664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0197148 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2481337 0.0 0.0 0.0 0.0 5.4806585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.408755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.412409 0.0 5.320858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 38588.0 0.0 0.0 0.0 0.0 7392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166922.0 0.0 113664.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -2.0 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 -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 -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 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 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 206532.0 113664.0 311296.0 7392.0 303104.0 0.0 0.0 720.0 425984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.33615127 0.015571556 0.0023855332 0.0015401508 0.003502993 0.0010883084 0.0006850513 0.0013215174 0.0027061957 0.0008405239 0.0005878809 0.00078222173 0.0019968518 0.0011466107 0.00071906095 0.008638448 0.008905667 0.0016033115 0.00029151118 0.0010591573 0.0006510417 0.0012534981 0.00048099348 0.00039839864 0.00045670086 0.00029151118 0.00029151118 0.00050042756 0.0009765625 0.0003400964 0.00034981343 0.00074821204 0.002327231 0.00022835043 0.00042269123 0.0005344372 0.0015109996 0.0010445818 0.0008842506 0.0003400964 0.00059273944 0.00043240827 0.0004372668 0.00077250466 0.0005781639 0.0005101446 0.0006801928 0.00045184235 0.0013215174 0.001579019 0.0006413246 0.0021085977 0.0013846782 0.0005392957 0.0008793921 0.0010348647 0.0010008551 0.0010008551 0.00064618315 0.0022737873 0.000991138 0.0015450093 0.00066561723 0.0011660447 0.0022689288 0.0019093984 0.08905667 0.0005587298 0.000850241 0.0048050764 0.00045670086 0.0006364661 0.00073849503 0.00045184235 0.00030122822 0.0007676461 0.001093167 0.0044989893 0.0008065143 0.00036924751 0.003036575 0.002123173 0.0006316076 0.0014915656 0.0010980255 0.0023806747 0.0015401508 0.0021474657 0.0010057136 0.001588736 0.00033037935 0.001336093 0.00045184235 0.0017344916 0.0015547264 0.0019725591 0.001336093 0.0014721316 0.0018122279 0.0011077425 0.0020454368 0.0021183146 0.0012437811 0.0005635883 0.0014769901 0.0014138293 0.0016276041 0.0005392957 0.0013701026 0.000850241 0.0015450093 0.0022106266 0.0008259484 0.0003400964 0.0015012827 0.0016956234 0.002390392 0.0014964241 0.0010057136 0.0010154307 0.0006510417 0.00054901274 0.0007773632 0.00070934393 0.00040811568 0.00067047577 0.00048099348 0.0004907105 0.0020454368 0.0023418067 0.0007239195 0.0028082244 0.00069962686 0.0020308613 0.0009231188 0.00030608676 0.00048585198 0.003561295 0.00071906095 0.011174596 0.0004421253 0.0031045943 0.0004421253 0.0006364661 0.0005150031 0.00038382306 0.00034981343 0.00035467197 0.0004664179 0.0005344372 0.00039839864 0.00037410602 0.0012486397 0.0002186334 0.0002623601 0.00048099348 0.001224347 0.00031094527 0.00029636972 0.0005101446 0.00060245645 0.0007773632 0.00035467197 0.00047613494 0.0003935401 0.0002477845 0.00019919932 0.00070934393 0.00066561723 0.00027693564 0.00029636972 0.0011466107 0.00060245645 0.0003158038 0.0003400964 0.0006801928 0.0005344372 0.001224347 0.00021377488 0.0007336365 0.0004421253 0.00054901274 0.00057330535 0.0005101446 0.0014381219 0.0022203436 0.00048585198 0.0007336365 0.0004907105 0.0014769901 0.00090854324 0.00068990985 0.0018705302 0.001365244 0.00057330535 0.001962842 0.0026770444 0.0011368936 0.00047613494 0.0014526974 0.00058302237 0.0011563278 0.00035953047 0.00025750155 0.104200676 0.0006121735 0.00035467197 0.00042269123 0.0011223181 0.000495569 0.00035467197 0.00034981343 0.0012826492 0.0001943408 0.00045670086 0.00034981343 0.0007967973 0.00052957865 0.00051986164 0.00045184235 0.0008793921 0.00090854324 0.0003158038 0.00057330535 0.002390392 0.00043240827 0.00031094527 0.00037410602 0.0007773632 0.0014381219 0.00058302237 0.0003935401 0.00594197 0.0026381763 0.00029151118 0.0013895367 0.004625311 0.0005101446 0.00045670086 0.011937384 0.01211229 0.011786769 0.0005344372 0.0024049673 0.0022543531 0.00035467197 0.05590213 0.00035467197 0.004503848 0.00035467197 0.00036924751 0.00043240827 0.0017587842 0.000597598 0.0019093984 0.07863028 0.08998535 0.0 0.0 0.0 4.8828124e-06 0.0 0.0 0.0 0.0 4.8828124e-06 2.4414062e-06 0.0 0.015002442 0.0 0.0 0.0 0.009572754 4.3945314e-05 2.1972657e-05 1.7089844e-05 6.8359375e-05 3.4179688e-05 1.953125e-05 7.3242186e-06 0.00010498047 3.90625e-05 1.7089844e-05 2.6855469e-05 0.0047802734 9.765625e-06 4.8828126e-05 0.00018798828 0.039628908 0.0035717774 0.00013916015 7.080078e-05 0.0004272461 0.0001977539 0.00019042968 0.00012207031 0.00012451172 4.8828126e-05 3.6621095e-05 3.6621095e-05 4.8828126e-05 3.4179688e-05 0.00014160156 0.00018066406 0.035830077 0.0023217774 0.00018066406 4.6386718e-05 0.00036621094 0.00012695312 0.000107421874 8.056641e-05 0.00021484375 0.0001171875 8.789063e-05 0.00011962891 0.009069825 6.1035156e-05 0.0004272461 0.00084228517 0.011984863 0.0014501953 0.0001977539 0.00012207031 7.5683594e-05 4.3945314e-05 0.00040039062 0.00025878905 3.6621095e-05 1.4648437e-05 1.4648437e-05 2.9296874e-05 2.9296874e-05 1.4648437e-05 2.4414063e-05 0.00030273438 0.026313476 0.0002685547 0.0003881836 0.0012597656 0.0012939454 0.00061035156 0.0013574219 0.0007788086 0.00029785157 0.00015380859 0.00013671875 0.00017578126 0.0040234374 0.00012939452 0.00028808592 0.002524414 0.02477295 0.00020751954 0.0001171875 0.00045410157 0.03413086 0.00021484375 0.0008764648 0.00014404296 0.00040771483 0.00013671875 3.90625e-05 6.591797e-05 0.0036865235 0.00017578126 0.0030395507 0.041530762 0.039489746 0.00024902343 0.00048339844 0.0011816407 0.04073242 0.00040283203 0.0014501953 0.00060058595 0.00032470704 0.0004370117 0.00030761719 0.0002661133 0.00022949219 0.00025146484 0.008408203 0.07018555 0.020412598 0.00046875 0.0011157227 0.00052246096 0.011657715 0.0009692383 0.0025024414 0.0012792968 0.0013183594 0.0006420899 0.00041992188 0.000703125 0.009877929 0.0005175781 0.0021435546 0.02044922 0.010002442 0.00028808592 0.0005883789 0.0004663086 0.0016894531 0.0010620117 0.0039038085 0.002019043 0.00061279297 0.00014404296 0.00014892578 0.00020507812 0.005361328 0.00011474609 0.0009863281 0.0024072265 0.0084277345 0.0006762695 0.00034423827 0.00037597655 0.00039794922 0.00029296876 0.0004663086 0.0004394531 0.0004272461 0.0002783203 0.00032958985 0.0005126953 0.00045654297 0.00032958985 0.0008569336 0.0003881836 0.01362793 0.00125 0.0013623047 0.0050805663 0.001994629 0.0020605468 0.0013427734 0.0010449219 0.0024536133 0.0007763672 0.0008886719 0.0015307617 0.008579101 0.0009008789 0.0026831054 0.0044238283 0.01831787 0.0020336914 0.0017089844 0.0029125977 0.0066308593 0.0082861325 0.003342285 0.0026171876 0.010610351 0.0010375977 0.0014331054 0.0028955077 0.031989746 0.0013354492 0.0063012694 0.013547364 0.017521972 0.0024658204 0.0020385743 0.0030151368 0.006328125 0.007138672 0.0028344726 0.002385254 0.011098633 0.0011865235 0.0013330078 0.0027319335 0.02265869 0.0022973632 0.0059765624 0.013989258 0.008173828 0.001352539 0.0014038086 0.0015625 0.0028149413 0.0015429688 0.0015014649 0.0015698242 0.0023828126 0.001538086 0.0017138672 0.0016821289 0.0020727539 0.0014794922 0.0016625976 0.0025463868 0.003256836 0.0019995116 0.0016601563 0.0017602539 0.0013793946 0.0015332032 0.0024145509 0.0016699219 0.0021264649 0.001394043 0.0011938476 0.0022680664 0.0021777344 0.0019360351 0.0016479492 0.0015820313 339.0 14.253687 4832.0 0.0513245 0.0014486755 0.0012417219 0.00041390728 0.0033112583 0.003518212 0.0062086093 0.00455298 0.0016556291 0.00041390728 0.00082781457 0.00020695364 0.0062086093 0.0031043047 0.010140728 0.00227649 0.0068294704 0.012831125 0.005173841 0.0060016555 0.0068294704 0.005173841 0.012210265 0.007657285 0.009312914 0.008485099 0.0060016555 0.005173841 0.012003311 0.013038079 0.007036424 0.0049668876 0.007036424 0.0055877483 0.005173841 0.0072433776 0.009312914 0.007036424 0.0037251655 0.0039321193 0.003518212 0.005380795 0.00082781457 0.0014486755 0.0041390727 0.0033112583 0.0012417219 0.0018625828 0.0062086093 0.0037251655 0.005173841 0.0055877483 0.005794702 0.002897351 0.0043460266 0.007657285 0.0055877483 0.0014486755 0.0024834438 0.007657285 0.002897351 0.00082781457 0.0039321193 0.02504139 0.0020695364 0.045322847 0.007864239 0.028559603 0.025455298 0.0740894 0.011796358 0.010140728 0.013865894 0.04304636 0.0016556291 0.004759934 0.031043047 0.015728477 0.036009934 0.040562913 0.015107616 0.00227649 0.046978477 0.038493376 0.0540149 0.020488411 0.007657285 0.008278145 0.008485099 0.009312914 0.0043460266 0.0014486755 0.00082781457 0.00062086096 0.00062086096 0.0014486755 5.717543 0.0 0.0 0.0 4.0 205824.0 290816.0 1.0 0.0 91.0 1.0 1.0 0.0 0.0 0.0 1542214400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 59904.0 1024.0 4096.0 9.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -59904.0 -4608.0 114176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4418106 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 4.2833004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6946045 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.907603 -4.104637 2.7078667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3179.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 19500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2024.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 -59815.0 -4136.0 113770.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 156472.0 114179.0 172032.0 0.0 0.0 0.0 0.0 2296.0 286720.0 56.0 144208.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 144264.0 0.0 0.0 824.0 155648.0 0.0 0.0 0.0 0.0


Input: 0.0041241064 0.003791893 0.0036672892 0.0039292485 0.0035444738 0.0037522719 0.0038437012 0.0039632227 0.0035160992 0.0036754769 0.0037176388 0.003913061 0.00381415 0.0038829928 0.0039040267 0.004100108 0.0034556324 0.0036584898 0.0035669664 0.003815703 0.0036945345 0.0037502956 0.0038576766 0.003996256 0.0038576766 0.003808033 0.0037856344 0.003967646 0.003758295 0.0039800215 0.0040574754 0.004217747 0.0035824478 0.0036199512 0.0035874357 0.0038053507 0.0035651783 0.0036597133 0.0037678473 0.0038865218 0.0036903936 0.0037517073 0.0036707714 0.0038990388 0.0037826227 0.0038169264 0.0038463364 0.0041016135 0.0038741932 0.0038157972 0.0036920405 0.003907744 0.0038076565 0.0037569304 0.003885063 0.0040475936 0.0037277087 0.0038197027 0.003901721 0.00400642 0.004090979 0.0040372885 0.004076204 0.004360138 0.0037280852 0.0036962754 0.0036606544 0.0038616294 0.0035921882 0.0037857755 0.0037805995 0.0039217668 0.0036305857 0.0036835235 0.0037006517 0.0037843639 0.0036972638 0.0038316078 0.0037994217 0.00405197 0.0036986284 0.003687523 0.0036850292 0.0037605537 0.0036593368 0.0036988165 0.0038531593 0.0039603994 0.00380648 0.0037882696 0.0038102916 0.0038814868 0.0038025274 0.003934895 0.0040042084 0.004239769 0.0037512837 0.00389071 0.003747378 0.003923461 0.0037578244 0.0038488773 0.003896827 0.0040154075 0.003878334 0.003835937 0.003770247 0.0039250134 0.0038794165 0.003877299 0.003920402 0.0042330404 0.0036759004 0.003862053 0.0037879872 0.003922331 0.004012255 0.003895086 0.0039404947 0.004063875 0.0041379407 0.003999597 0.004019784 0.0041049076 0.004167774 0.004153093 0.0042675324 0.004526386 0.0037890223 0.003869723 0.003610587 0.003888263 0.0036804648 0.0038439364 0.0038473716 0.0040245363 0.0036086577 0.0037596596 0.0037395668 0.003999973 0.0038357486 0.0038852515 0.003863794 0.0041144597 0.0037275206 0.0037047926 0.0036845587 0.0038820517 0.003715192 0.0037731174 0.0037157096 0.0039281663 0.003803798 0.0037781524 0.0037961279 0.003948259 0.003754154 0.003928825 0.0040618517 0.00425958 0.003769212 0.003900215 0.0037580598 0.003931178 0.0037387197 0.0038216792 0.0037723177 0.003919602 0.003736273 0.0037349553 0.0036649834 0.0038917451 0.0038202202 0.0038746637 0.003864688 0.0041716327 0.0037619653 0.0038286434 0.0037900105 0.0039664228 0.0038890159 0.00384516 0.0038538182 0.0040358296 0.0038101976 0.0038831339 0.003920402 0.003969434 0.004053146 0.0040839207 0.0042129476 0.004449544 0.0038932038 0.0037986217 0.0038429953 0.004032771 0.0037689295 0.0038923568 0.0039084028 0.0041065076 0.0038313726 0.003840172 0.0038084094 0.0038665233 0.0039276956 0.0038860042 0.003921908 0.0042069713 0.0040177135 0.003976728 0.0038859101 0.0039725397 0.0037666238 0.0038744756 0.0038636527 0.004064816 0.0038269022 0.0039680223 0.0039512236 0.0040195016 0.003879981 0.0039835507 0.0041883844 0.004406488 0.0039173434 0.0040086317 0.003925437 0.0040737567 0.003925296 0.00395687 0.0039403066 0.004153516 0.0041873963 0.004003079 0.0039268015 0.004061381 0.004000773 0.004026748 0.0039977618 0.004383807 0.0042881896 0.0041394467 0.004093426 0.0041874903 0.0041697505 0.004064628 0.0040928144 0.0042686616 0.0042920955 0.004275814 0.0042558624 0.0042906837 0.004371761 0.0043455507 0.0045613013 0.0047125854 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.225875e-05 3.2941102e-07 3.2941102e-07 2.6352882e-06 2.1176423e-07 2.5882295e-07 2.7294057e-06 1.4117616e-07 6.352927e-07 2.7294057e-06 3.2941102e-07 4.7058716e-08 2.7764643e-06 1.6470551e-07 1.6470551e-07 2.4470532e-06 2.8094055e-05 2.1176423e-07 1.9529368e-06 5.6470464e-07 2.94117e-06 1.2941147e-06 7.1764543e-06 3.6470506e-06 4.2352846e-07 7.058808e-08 8.705863e-07 9.411743e-08 7.058808e-08 1.6470551e-07 9.411743e-08 5.176459e-07 0.000101435064 1.9058781e-06 2.423524e-06 6.23528e-06 1.6752903e-05 8.658804e-06 4.392931e-05 1.9647014e-05 8.376452e-06 5.694105e-06 1.0823505e-06 1.1058798e-06 4.447049e-06 4.517637e-06 3.7882266e-06 1.0941152e-05 9.9811536e-05 1.7647019e-06 6.8470436e-06 1.2423501e-05 1.2752912e-05 5.7411635e-06 4.1011674e-05 1.8305842e-05 5.5529285e-06 6.823514e-06 1.5294083e-06 6.5882205e-07 6.61175e-06 4.447049e-06 3.5294038e-06 1.3129382e-05 4.555284e-05 2.4705826e-06 2.0470543e-06 2.3058772e-06 6.5176323e-06 4.141167e-06 4.1176377e-06 4.188226e-06 9.341155e-06 1.8352899e-06 6.352927e-07 7.764688e-07 2.6117589e-06 2.2588185e-06 2.423524e-06 5.1529296e-06 1.176468e-05 6.5882205e-07 3.6941094e-06 5.1294e-06 1.4823496e-06 9.4117433e-07 1.1247033e-05 7.152925e-06 6.352927e-07 7.294101e-07 6.823514e-07 8.2352756e-07 6.823514e-07 5.8823395e-07 1.0117624e-06 9.647038e-07 0.0001942819 3.6894035e-05 1.7058785e-05 3.075287e-05 6.047045e-05 4.917636e-05 2.312936e-05 4.2776373e-05 8.9317444e-05 9.129391e-06 1.1835267e-05 1.0470565e-05 4.105873e-05 1.9011723e-05 4.6894012e-05 8.875274e-05 0.00039661088 0.0001345644 0.00012562325 0.0001481879 0.00012501149 0.00010117624 0.00014774084 0.00015089377 0.00014837613 7.494101e-05 6.244692e-05 6.854102e-05 0.00011439974 6.395279e-05 0.0001055527 0.00020044661 0.060208898 0.061050802 0.059873465 0.06259988 0.05998158 0.06110186 0.061868306 0.06428995 0.061099768 0.061362095 0.06129318 0.06327355 0.062362235 0.063553765 0.064327806 0.06809055 94706.0 5.6744556 537405.0 0.010038984 0.009826853 0.009782194 0.009955248 0.009832435 0.009730092 0.010092947 0.010185987 0.009761726 0.010001767 0.009940362 0.010403699 0.010146909 0.010414864 0.010677236 0.010919139 0.010760971 0.010578614 0.010187848 0.010360901 0.010390674 0.00993664 0.010470687 0.01054698 0.009856625 0.010413003 0.010398117 0.010604665 0.011218727 0.010576753 0.010785162 0.011120105 0.010033402 0.010040845 0.009570063 0.010470687 0.009707762 0.010284608 0.010370205 0.010630717 0.00967985 0.010117137 0.010219481 0.010105972 0.01014877 0.010318102 0.01024181 0.010589778 0.009893842 0.0100762 0.010465105 0.010266 0.010411142 0.009899424 0.010587918 0.010720034 0.010228785 0.010366484 0.010372066 0.009979438 0.010310659 0.010775858 0.010435333 0.011079167 0.010038984 0.0105804745 0.010126441 0.01073306 0.010509765 0.011512732 0.0103757875 0.010465105 0.010463244 0.01101404 0.010083643 0.010571171 0.010902392 0.010446497 0.010813074 0.011440162 0.009916171 0.010340433 0.010971242 0.010543259 0.011803016 0.010117137 0.01052279 0.01045394 0.010807492 0.010824239 0.010613969 0.010444636 0.010835404 0.010950773 0.0111256875 0.011339678 6.58374 4.0 41.0 0.0 342.0 21251392.0 241664.0 0.0 0.0 159.0 0.0 1.0 1.0 0.0 0.0 1517284600.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3554616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0493803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4959064 0.0 4.556303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25231.0 0.0 6760.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34100.0 6760.0 233472.0 0.0 0.0 13712.0 21237680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 32768.0 0.0 0.0 0.0 0.0