Input: 0.16587271 0.011860173 0.0076040872 0.008571718 0.013460485 0.006273223 0.0036621094 0.0020617973 0.010541218 0.0027063882 0.0022255501 0.0015005716 0.0070339297 0.0058831936 0.0013263981 0.0072497856 0.009408346 0.0016762338 0.0015616068 0.0014350705 0.008014958 0.004270972 0.001141804 0.0009527439 0.0052981493 0.0009988925 0.00074879715 0.0009438119 0.0044644983 0.0022553233 0.0009021294 0.0011016101 0.0064339987 0.00054336176 0.0005344298 0.0006356588 0.04140268 0.0018816692 0.00056718034 0.000568669 0.0037350538 0.0006684094 0.0005850443 0.0026111137 0.0029460627 0.0009438119 0.0009199933 0.00041682547 0.0030532465 0.00061481755 0.00095572125 0.0053442977 0.0032244427 0.0010331316 0.0004823266 0.00047934928 0.0035638576 0.0013293754 0.0010480183 0.004571682 0.0030100753 0.0015095036 0.0006460795 0.0011983732 0.004783072 0.0037380313 0.0019010218 0.0016434832 0.015499952 0.0051820334 0.0045166016 0.0024503383 0.0046848203 0.014518924 0.0017074957 0.0053175017 0.008583627 0.0023759052 0.0025337033 0.0012891816 0.0071172947 0.0076710773 0.0058206697 0.0033688429 0.00717833 0.0031753168 0.004753299 0.0039211367 0.0026215343 0.0017685308 0.0008693788 0.002989234 0.0057105087 0.00320509 0.0046714223 0.0038154416 0.0022463915 0.0017789515 0.001040575 0.0011760433 0.0045523294 0.0036338249 0.0038958294 0.00069371663 0.0047503216 0.0017119617 0.005912967 0.00069371663 0.0034417873 0.0008053663 0.0015854253 0.001842964 0.0025768746 0.00068180735 0.0016524153 0.0015884028 0.012287419 0.009263946 0.0009929378 0.00085598085 0.0016241306 0.00079196837 0.0005522937 0.00043022342 0.0034358327 0.0021987543 0.0015377882 0.0009051067 0.0038303281 0.003726122 0.00052549783 0.011848263 0.0063550994 0.007822921 0.0010867235 0.00052103185 0.0024488496 0.021424828 0.0035966083 0.044857863 0.0019739664 0.008488352 0.0008768221 0.0005939763 0.01634849 0.0004748833 0.00029475515 0.0003915182 0.0016658131 0.00071753527 0.0004912586 0.00030368712 0.0008902201 0.0009065954 0.00029624382 0.00038705222 0.0020305354 0.00037812022 0.00034834698 0.0003126191 0.001485685 0.0028552543 0.0003200624 0.0014216725 0.0011120308 0.00052549783 0.0003200624 0.00030666444 0.0010078244 0.00037067692 0.00037812022 0.0005225205 0.0008172756 0.00034090367 0.00041235948 0.0007875024 0.0011998619 0.00047786062 0.0004064048 0.000339415 0.00091552734 0.00035132433 0.0006252382 0.0014395365 0.0023580412 0.002755514 0.0016300853 0.00051507715 0.0007458198 0.00057462364 0.0014514457 0.0009825171 0.009307117 0.0059233876 0.0039315573 0.0046356944 0.0065262956 0.00096018723 0.002798685 0.0045091584 0.0026840582 0.0040476727 0.0013412847 0.0013651034 0.0017759742 0.0009497666 0.0018280774 0.0013308642 0.0016568812 0.0015928687 0.0019069765 0.00081132096 0.0011864639 0.0013904106 0.0008202529 0.00090064073 0.01345453 0.012870975 0.00094530056 0.0028954484 0.0013725467 0.0017536442 0.0022523461 0.0024711795 0.003901784 0.0013829673 0.0009914491 0.0007994117 0.00071009196 0.0009319026 0.0008976634 0.00069669395 0.015470179 0.001732803 0.00065054547 0.0039583533 0.0031663848 0.00084853754 0.00048381527 0.0005120998 0.0027614688 0.0019099538 0.00091552734 0.0012073051 0.0015779821 0.0005567597 0.003994081 0.0029639266 0.0035430165 0.0014574004 0.0010346203 0.001238567 0.0023520866 0.0011328721 0.002256812 0.024811536 0.016773766 0.0 7.4546756e-07 0.0 1.4909351e-06 0.0 7.4546756e-07 1.4909351e-06 2.9818702e-06 1.4909351e-06 5.9637405e-06 0.0 7.4546756e-07 1.4909351e-06 1.4909351e-06 1.4909351e-06 0.0029393786 1.4909351e-06 1.0436545e-05 4.4728054e-06 1.4163884e-05 5.2182727e-06 3.5782443e-05 1.1182014e-05 2.2364027e-06 5.2182727e-06 5.2182727e-06 0.0 7.4546756e-06 0.0 7.4546756e-07 1.0436545e-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 0.0040568346 6.0382874e-05 6.1873805e-05 2.6091364e-05 3.6527912e-05 2.3109495e-05 2.75823e-05 1.8636689e-05 3.8018847e-05 1.1182014e-05 9.691078e-06 1.4163884e-05 9.541985e-05 1.565482e-05 2.2364027e-05 6.261928e-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 0.0034776062 2.3109495e-05 0.000172203 8.4237836e-05 0.00021171279 4.8455393e-05 0.00016623926 6.4855674e-05 3.8018847e-05 1.3418416e-05 1.4909351e-05 1.1182014e-05 1.3418416e-05 1.1927481e-05 7.529222e-05 0.00015356632 0.0044191317 0.00014909351 0.00055462786 7.3055824e-05 0.000379443 7.4546755e-05 0.0008647424 0.00042640744 8.796517e-05 8.49833e-05 2.6091364e-05 2.3109495e-05 4.1000716e-05 2.161856e-05 3.429151e-05 0.00037347924 0.003230111 5.2182728e-05 0.00015729366 9.765625e-05 0.0002042581 5.8891936e-05 5.7401e-05 4.6964455e-05 6.858302e-05 4.4728054e-05 3.7273378e-05 1.7891221e-05 4.621899e-05 2.5345897e-05 8.125597e-05 0.00035409708 0.009199815 0.00022587668 0.00094450737 0.0003608063 0.000827469 0.0005576097 0.0030929449 0.0014760258 0.00029967795 0.00012225668 9.840172e-05 0.00010212905 0.00012523856 9.616531e-05 0.00011107467 0.0006806119 0.006460222 0.00019307609 0.0007305582 0.00032204197 0.0011383289 0.000758886 0.0040068883 0.001962816 0.0002251312 7.231035e-05 5.5910066e-05 8.7219705e-05 0.00011927481 0.00019307609 0.00012523856 0.00034291507 0.00625 0.00024824069 0.0006068106 0.0002161856 0.0009206524 0.00043833492 0.0017138299 0.0009519621 0.00024004055 0.00022438573 0.00011778387 0.00020723998 0.00016400286 0.0002251312 0.00016176645 0.0010540911 0.004914122 0.00028551408 0.0006142653 0.00047188095 0.0010004175 0.0005412094 0.001367933 0.0007544132 0.00043535305 0.0002228948 0.00021693106 0.00016027552 0.00041895275 0.00016922114 0.00023705869 0.00040329795 0.0034530058 0.0002713502 0.00050244515 0.0004062798 0.0010690005 0.00058519206 0.0010511093 0.00090425217 0.0008669788 0.00017071207 0.00012598402 0.0001766758 0.00031682372 0.00016176645 0.00028625954 0.00033918774 0.07637762 0.015541508 0.022966364 0.010456674 0.028808594 0.022627922 0.008798754 0.012479872 0.043611344 0.0067531904 0.003721374 0.00525331 0.018225936 0.019877892 0.012557401 0.017133081 0.11441809 0.027209565 0.037076574 0.018568106 0.045164153 0.04187366 0.017411886 0.021361373 0.073137075 0.017480468 0.007479276 0.009686605 0.03333358 0.02642906 0.022528775 0.03187992 0.0015878459 0.00091767055 0.0010272543 0.00096538046 0.0010078722 0.0011077648 0.0011524928 0.0009161796 0.0010511093 0.0010212905 0.0010391817 0.001010854 0.001033218 0.0010719823 0.00093183445 0.0009519621 1995.0 10.768421 21483.0 0.05259973 0.0011637108 0.00065167807 0.00046548434 0.0267188 0.0052134246 0.00065167807 0.0007913234 0.0046548434 0.0019550342 0.0013033561 0.0017688405 0.005027231 0.002792906 0.012661174 0.0007913234 0.0043290043 0.0024205185 0.002048131 0.004608295 0.0029325513 0.0011171624 0.0019084858 0.00060512964 0.0029325513 0.004701392 0.0043290043 0.0043755528 0.0022343248 0.002792906 0.0009309687 0.0033049388 0.008518363 0.009961365 0.008145976 0.007820137 0.014383466 0.005259973 0.0050737793 0.0056323605 0.005678909 0.009402784 0.0015826467 0.0020015826 0.009868268 0.0036773263 0.0033980357 0.0029325513 0.018572826 0.013452497 0.01666434 0.021784667 0.013871433 0.009402784 0.014895499 0.016478145 0.0033980357 0.006563329 0.00474794 0.006749523 0.005166876 0.0026067123 0.0084252665 0.011450915 0.0016757436 0.037331846 0.011404366 0.019550342 0.021505376 0.0638179 0.015174789 0.01010101 0.023367314 0.03663362 0.00386352 0.0036307778 0.032304615 0.014616208 0.03295629 0.04166085 0.01545408 0.0012568077 0.02974445 0.0252758 0.06293348 0.021226086 0.004841037 0.0067960713 0.005911651 0.0054461667 0.0006982265 0.0001396453 0.0028394544 0.0028860029 0.0014430014 0.0011637108 5.7674074 0.0 0.0 9.0 2.0 671744.0 1265664.0 0.0 0.0 238.0 0.0 1.0 0.0 0.0 0.0 934839360.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 589824.0 4096.0 4096.0 4.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -589824.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.298897 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.163197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.662237 0.0 5.741592 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15642.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -624024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -586021.0 0.0 28672.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 2.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -3.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 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 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 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 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 1.0 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 -2.0 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 -2.0 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 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 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 -2.0 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 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 -1.0 1.0 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 -1.0 0.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 -2.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 604016.0 26864.0 1236992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1068.0 593920.0 0.0 0.0 0.0 0.0


Input: 0.08839811 0.008544922 0.01207536 0.004531689 0.010103033 0.0041586203 0.006556136 0.0042710896 0.00562895 0.0036429074 0.010421239 0.0039501404 0.0038760754 0.0036593662 0.0033054994 0.0033000133 0.005434186 0.0061501493 0.003151883 0.003908993 0.0027705845 0.0037553767 0.0044274493 0.0036319348 0.0038843048 0.003157369 0.0036072463 0.0031299377 0.0032698384 0.0034838044 0.0029790644 0.0044548805 0.005305258 0.0050611175 0.0047374256 0.0031107357 0.0030503862 0.0031655987 0.0025319303 0.0025895366 0.0045371754 0.0030174684 0.0046496447 0.0037937807 0.004243658 0.0031793145 0.0052421656 0.0028748245 0.0046880487 0.00426286 0.0032835542 0.0034975202 0.0031217083 0.003223205 0.0028528792 0.0032396638 0.0027925298 0.0032341776 0.002921458 0.0041174726 0.0025127283 0.0040050037 0.0031848007 0.003242407 0.0038212123 0.004301264 0.0030613588 0.0040379213 0.0051159803 0.0037855513 0.0028062456 0.0034454004 0.003637421 0.004172336 0.0026937763 0.0033466467 0.0023591116 0.0028830539 0.0032094892 0.002937917 0.0035386675 0.003278068 0.003887048 0.004139418 0.0042162263 0.004284805 0.0038596164 0.0029159717 0.004531689 0.0032094892 0.0032040027 0.003280811 0.0029790644 0.0030860472 0.0031299377 0.0040050037 0.003242407 0.0065479064 0.0049349326 0.0043286956 0.0043451544 0.00928283 0.0034975202 0.004194281 0.0029159717 0.0054753334 0.0030723314 0.0041503906 0.0050501446 0.004592038 0.005980074 0.0086162435 0.004729196 0.0034234552 0.0068469103 0.0066686054 0.007414743 0.00537658 0.0031902872 0.003996774 0.0024852967 0.00354964 0.0028720812 0.006912746 0.002671831 0.0040296917 0.0031052493 0.0028940265 0.0035715853 0.0033548763 0.0027815572 0.002937917 0.0024249472 0.002438663 0.0037608629 0.002924201 0.0048636105 0.004361613 0.0027925298 0.002937917 0.0031902872 0.0025593617 0.0032149754 0.003047643 0.0026828037 0.0030613588 0.0030229548 0.0026745743 0.002493526 0.0038404143 0.0033740783 0.0028089888 0.002616968 0.0026581152 0.0026114818 0.0025044987 0.002759612 0.0028995129 0.0027513825 0.002721208 0.0030586156 0.0026197112 0.0032204618 0.002493526 0.0029269443 0.00360176 0.0026114818 0.0026855469 0.003280811 0.0033740783 0.0033795645 0.0033000133 0.0035551265 0.0029598621 0.0032862974 0.0027980162 0.0034179688 0.003637421 0.003138167 0.0026690878 0.0028281908 0.0033301879 0.003223205 0.002811732 0.0031134787 0.0029708347 0.0029708347 0.0031271945 0.0024331769 0.0030064958 0.002904999 0.0030586156 0.0034838044 0.0023810568 0.0026279406 0.0029488895 0.003889791 0.002652629 0.0026389132 0.0032917836 0.0024770673 0.0027294373 0.0033219585 0.0040927846 0.0028035024 0.0028281908 0.0028281908 0.0027897868 0.0035276948 0.002309735 0.0026279406 0.0024633515 0.0028364202 0.0028528792 0.0030915334 0.003157369 0.0028803106 0.002814475 0.0027157215 0.0028172182 0.0034316846 0.0030613588 0.0028007594 0.0030613588 0.0027294373 0.0026005092 0.0023947726 0.002726694 0.002455122 0.0030229548 0.002866595 0.0026471426 0.0029488895 0.00263617 0.0030970199 0.0028885403 0.0030558726 0.002954376 0.004353384 0.002918715 0.0024578653 0.0021643478 0.0027541257 0.0028583654 0.0034975202 0.0031217083 0.0030531294 0.0033109859 0.0024770673 0.0030037526 0.0030723314 0.0032506364 0.002756869 0.003371335 0.003763606 0.003673082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00020631602 0.0 5.5017604e-06 5.5017604e-06 0.00017743178 0.00017880721 0.00165603 0.0005873129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011113556 0.0005157901 0.0012117628 0.0006161972 0.001265405 0.0011553697 0.00956206 0.0051015075 0.00015817562 2.3382483e-05 1.9256162e-05 2.0631602e-05 0.00014854754 2.3382483e-05 2.6133363e-05 2.4757923e-05 0.04409936 0.005006602 0.00425011 0.002805898 0.0010136993 0.0015556228 0.0060766945 0.0071701696 0.0009022887 0.0005446743 0.0002805898 0.0006272007 0.000621699 0.0002021897 0.00031635124 0.00058318663 0.027116802 0.0052418024 0.0026449715 0.0010480854 0.0009256712 0.0016340229 0.0015900088 0.0027893926 0.0008568992 0.0005763094 0.0006932218 0.00058318663 0.000574934 0.00025858276 0.0002434529 0.0011099802 0.012707692 0.001756437 0.0008940361 0.00092704664 0.00058868836 0.0011828785 0.0026050836 0.0016230193 0.0005845621 0.00041538294 0.00050203566 0.000425011 0.00036861797 0.00021456866 0.00019806338 0.00035898987 0.003505997 0.0003699934 0.0004112566 0.00043326363 0.00026133363 0.00040988115 0.0010577135 0.00072898326 0.00026270907 0.0001237896 0.00017743178 0.00014579666 0.00026408452 9.352993e-05 0.00012654049 7.840009e-05 0.002631217 0.00073448505 0.0009793134 0.0009834397 0.00044701804 0.00046352332 0.001343805 0.0008679027 0.0006533341 0.00020081426 0.00013479314 0.00024207747 0.000656085 0.0001678037 0.00055705325 0.00020494057 0.016832637 0.0023148658 0.0036999339 0.003940636 0.0043642716 0.002734375 0.0074672643 0.0047205104 0.0021401849 0.0010370818 0.0014208297 0.00173443 0.0017880722 0.001424956 0.0017261774 0.0018087038 0.0024427816 0.00060519367 0.00076612015 0.0006932218 0.0008637764 0.00055980415 0.0013355524 0.00088578346 0.00050478656 0.00033148107 0.00047452684 0.00033148107 0.00042638645 0.00034798635 0.0002819652 0.00041675835 0.054471556 0.0447692 0.046196908 0.042794067 0.04582554 0.0478158 0.04743343 0.04565911 0.04522172 0.04235118 0.04558071 0.044660542 0.04306228 0.043842155 0.04294399 0.04413237 2304.0 12.166233 28031.0 0.016446078 0.0026756092 0.020834077 0.0034247797 0.0031393813 0.0020691378 0.002176162 0.0015340159 0.0019621134 0.002176162 0.004352324 0.0033534302 0.012949948 0.00253291 0.028468482 0.003032357 0.01930006 0.010488388 0.002711284 0.010167315 0.007884128 0.00841925 0.0029610074 0.0061003887 0.0032464059 0.004209625 0.0026042596 0.0024258855 0.0021404873 0.013056973 0.002853983 0.0039955764 0.0024972353 0.008062502 0.0065284865 0.012058078 0.026256645 0.0064928117 0.0036388284 0.004851771 0.003389105 0.009168421 0.0027469588 0.006421462 0.0034247797 0.005101495 0.0039599016 0.0033534302 0.010488388 0.0067068604 0.008026827 0.01662445 0.01013164 0.006457137 0.0075273803 0.0023902107 0.00506582 0.0024258855 0.0023188612 0.002033463 0.003389105 0.0027826335 0.004209625 0.011487282 0.0048160963 0.036602333 0.015019086 0.01705255 0.015233135 0.07224145 0.013663444 0.017944418 0.006207413 0.03546074 0.003175056 0.011808355 0.025578823 0.021404874 0.036459632 0.030751668 0.011737006 0.0037458527 0.03717313 0.029003603 0.04919553 0.02697014 0.0041382755 0.012093754 0.005922015 0.015625557 0.0027826335 0.0032820806 0.0022475116 0.0032820806 0.0023902107 0.0032820806 5.9202995 1.0 0.0 0.0 9.0 364544.0 393216.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2559024600.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 361984.0 512.0 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 -361984.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6642346 0.0 4.220687 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 -361940.0 0.0 1512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 370044.0 1512.0 376832.0 0.0 0.0 0.0 0.0 12.0 385024.0 56.0 369864.0 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: 0.040190924 0.004415251 0.0042938474 0.004504706 0.004344965 0.0039679753 0.0036421027 0.0037059993 0.004082989 0.0036868302 0.0034823613 0.00369322 0.0038337924 0.003469582 0.0033545683 0.0038529614 0.0039743646 0.0038912992 0.0037379474 0.003527089 0.0036293233 0.0035398682 0.0037698958 0.0037890647 0.0037251683 0.0036421027 0.003527089 0.0036676612 0.003801844 0.0034823613 0.003450413 0.0038785199 0.0042171716 0.0036421027 0.0033609578 0.0037635062 0.0042427303 0.0035909854 0.0035398682 0.0034759718 0.0039168578 0.0035143096 0.003546258 0.0036804406 0.003801844 0.0036484923 0.0036484923 0.003674051 0.0038912992 0.0037251683 0.0040127025 0.004114937 0.0037443372 0.0039040786 0.0035398682 0.0034631924 0.0035015303 0.0037635062 0.0037698958 0.0036293233 0.003654882 0.0034823613 0.003565427 0.003987144 0.0038529614 0.0039679753 0.0034056855 0.0039807544 0.00461333 0.0038082337 0.0038849094 0.0038721303 0.0039935336 0.0037826751 0.0034951407 0.003821013 0.0039807544 0.0036421027 0.003801844 0.004153275 0.0039615855 0.003546258 0.0035718165 0.0039168578 0.0038146235 0.003654882 0.003987144 0.0038849094 0.0037059993 0.0034759718 0.0037187785 0.0036804406 0.003469582 0.0035526475 0.003840182 0.0039551957 0.0036868302 0.003840182 0.0036484923 0.0036165442 0.0040510404 0.004121327 0.003859351 0.0036484923 0.0039999234 0.0039488063 0.0037954545 0.003674051 0.004076599 0.0036676612 0.0042363405 0.0040318714 0.0036293233 0.0036293233 0.0039360267 0.004121327 0.0042938474 0.0039807544 0.0035718165 0.00406382 0.0037954545 0.0036868302 0.0034248545 0.0039935336 0.003654882 0.0033353993 0.003469582 0.004344965 0.0039999234 0.003578206 0.0036676612 0.0043321853 0.0036612717 0.0037635062 0.0033162304 0.0039551957 0.0038082337 0.004357744 0.0039615855 0.0048050196 0.0037890647 0.0041085472 0.0033865166 0.0037954545 0.003654882 0.0036484923 0.0035143096 0.0037507268 0.003450413 0.0038337924 0.0036868302 0.0034951407 0.0037507268 0.0036101544 0.003840182 0.0038082337 0.0036868302 0.0037507268 0.0037571164 0.0035845959 0.0036484923 0.0035526475 0.0039807544 0.0037698958 0.003578206 0.0034248545 0.0035143096 0.003527089 0.003469582 0.0034951407 0.003578206 0.0037571164 0.0038337924 0.0034056855 0.0036293233 0.003118151 0.0039743646 0.0035398682 0.0038082337 0.003559037 0.0037187785 0.0038785199 0.0036229338 0.0039615855 0.0037762853 0.0036229338 0.0039424165 0.0037379474 0.0039488063 0.003559037 0.0035718165 0.004044651 0.003840182 0.004025482 0.003712389 0.00369322 0.0037059993 0.003654882 0.0037571164 0.0037826751 0.0037187785 0.0034823613 0.003987144 0.0036037648 0.00369322 0.0035526475 0.0037826751 0.0037954545 0.0037379474 0.003546258 0.0036421027 0.0037315579 0.0037315579 0.0036804406 0.0036421027 0.003801844 0.0038082337 0.0037762853 0.0036101544 0.00369322 0.0035398682 0.003565427 0.00369322 0.0037698958 0.0037826751 0.0034440234 0.0037635062 0.0036612717 0.0037315579 0.0036357131 0.0036996095 0.0037507268 0.004114937 0.003859351 0.0037635062 0.0037379474 0.0036612717 0.0037635062 0.0036037648 0.0036804406 0.0037954545 0.0037954545 0.00369322 0.003565427 0.0038082337 0.0035526475 0.0036868302 0.003987144 0.0039488063 0.0035845959 0.0036804406 0.0037507268 0.0037507268 0.0037635062 0.0037059993 0.0056612333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0049345507 9.377587e-05 0.00019401904 4.527111e-05 0.00034276696 0.000119645076 0.00013257968 0.00017138348 0.0002748603 3.2336506e-05 5.497206e-05 5.173841e-05 5.497206e-05 3.5570156e-05 3.880381e-05 4.527111e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0070428913 5.820571e-05 0.0002619257 0.00055618794 0.0004397765 0.00014551428 0.0010800393 0.0011220768 0.0010315345 9.700952e-06 6.4673013e-06 0.0004203746 0.00011641142 9.700952e-06 6.1439365e-05 0.00088278664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0055036736 0.00022635555 0.0004268419 0.00067259936 0.0006952349 0.00034600063 0.0013096285 0.0010153663 0.0008924876 0.00014551428 0.000119645076 0.0002489911 0.00033629968 0.00016491619 0.00023282284 0.0009086558 0.008478632 0.0007987117 0.0007728425 0.00069846853 0.0011608806 0.00067259936 0.0006952349 0.00076314155 0.0015359841 0.00061115995 0.00048181394 0.00057235616 0.0007017022 0.00057558983 0.00065966474 0.0006887676 0.00618274 0.00081487995 0.00097332883 0.00075020693 0.0012999276 0.0011414787 0.0009991981 0.000944226 0.0023864342 0.00041714092 0.00036216888 0.00046241205 0.0009215904 0.0004527111 0.0007017022 0.0010574037 0.0072918823 0.0011317778 0.0012223199 0.0013710678 0.0014066381 0.0012805257 0.0011738152 0.0012643574 0.0014454419 0.0012190863 0.0011188431 0.0012578901 0.0013516659 0.0012546565 0.0012643574 0.0014357409 0.05590982 0.055974495 0.055534717 0.055906586 0.056647092 0.056100607 0.056711767 0.055938922 0.054988228 0.05661799 0.055424772 0.05753958 0.056559782 0.056721468 0.057022195 0.05706423 722.0 6.3850417 4610.0 0.01670282 0.0065075923 0.00845987 0.011713666 0.00889371 0.00867679 0.009327549 0.009761388 0.00867679 0.0078091105 0.007375271 0.00802603 0.0062906723 0.0065075923 0.0132321045 0.00889371 0.010412147 0.00845987 0.010845987 0.01778742 0.007375271 0.009978308 0.007592191 0.0095444685 0.007375271 0.00889371 0.00889371 0.0078091105 0.007375271 0.00802603 0.00867679 0.007592191 0.00889371 0.011930586 0.00867679 0.009327549 0.013882863 0.011279826 0.00867679 0.011496746 0.00867679 0.010845987 0.007375271 0.00867679 0.013015185 0.0062906723 0.009978308 0.0067245117 0.012147506 0.0078091105 0.009110629 0.011930586 0.010845987 0.0069414317 0.011062907 0.009110629 0.013882863 0.0078091105 0.009761388 0.009110629 0.00845987 0.006073753 0.010195227 0.00802603 0.00867679 0.0164859 0.011279826 0.009761388 0.015184382 0.022342734 0.0095444685 0.00802603 0.012364425 0.014750542 0.00845987 0.011930586 0.023210412 0.010845987 0.018221257 0.015835142 0.011279826 0.00845987 0.01778742 0.012364425 0.018655097 0.014533622 0.009327549 0.014533622 0.0078091105 0.010845987 0.00889371 0.0134490235 0.00867679 0.0078091105 0.007592191 0.0095444685 6.515998 0.0 0.0 0.0 5.0 156503.0 155648.0 0.0 0.0 11.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 94720.0 1024.0 4096.0 10.0 4.0 0.0 0.0 10.0 0.0 0.0 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 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44032.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 3584.0 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 0.0 0.0 0.0 1.0148664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.351366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9933505 0.0 0.0 0.0 0.0 0.0 0.0 -7.846288 6.6061172 0.0 0.0 0.0 0.0 5.4161773 0.0 0.0 0.0 -4096.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 12288.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 632.0 147388.0 10240.0 131072.0 0.0 0.0 0.0 0.0 8.0 147028.0 0.0 0.0 48.0 118808.0 0.0 0.0 24.0 143372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.1807373 0.003442383 0.0029541017 0.0026692708 0.004012044 0.0026204428 0.0034179688 0.0037760416 0.0028320313 0.0040527345 0.0033528646 0.0036946614 0.003092448 0.0038248699 0.004329427 0.003474935 0.0028808594 0.0026611327 0.0028727213 0.0030843099 0.0033203126 0.0026774087 0.0028727213 0.0038004557 0.002742513 0.0028727213 0.0030843099 0.002758789 0.002783203 0.0029215494 0.002783203 0.00234375 0.0032796224 0.0026041667 0.0024251302 0.002758789 0.0036295573 0.0033040366 0.002718099 0.002783203 0.003157552 0.0026611327 0.0026204428 0.0026855469 0.0024902343 0.0036214192 0.0048583983 0.0024332681 0.0041097007 0.003491211 0.003914388 0.0037190756 0.003971354 0.004207357 0.0028727213 0.0031738281 0.0031819663 0.0037190756 0.003108724 0.0032145183 0.0029622396 0.0030029297 0.0027750651 0.0030192058 0.005200195 0.0028401692 0.0028320313 0.0029541017 0.0048421226 0.0053385417 0.0025390624 0.0030680338 0.002709961 0.0026367188 0.0036214192 0.0032145183 0.0033935546 0.0048746746 0.0031738281 0.0031819663 0.0029134115 0.0030517578 0.002799479 0.0029622396 0.0028971354 0.0037923178 0.003157552 0.0033203126 0.0026774087 0.00316569 0.0039550783 0.0029215494 0.002750651 0.0030843099 0.0029541017 0.0042561847 0.0025472005 0.0033040366 0.0028645834 0.0033528646 0.0029947916 0.004654948 0.0033772786 0.003914388 0.0030110676 0.0032796224 0.0025878907 0.0029541017 0.0045491536 0.0032552083 0.0034098306 0.0034016927 0.0028157553 0.0037516276 0.004361979 0.003491211 0.004264323 0.003515625 0.0026692708 0.002701823 0.002718099 0.0033528646 0.003108724 0.0028157553 0.003125 0.0028320313 0.0026041667 0.002799479 0.0032552083 0.0032226562 0.0041585285 0.004435221 0.0026041667 0.0032063802 0.0048258463 0.0025878907 0.0028483074 0.0069986978 0.003507487 0.007283529 0.0025309245 0.0029947916 0.003076172 0.0051757814 0.0030273437 0.0025878907 0.003141276 0.0026611327 0.0028889973 0.0025472005 0.0031982423 0.002701823 0.0025227864 0.0026529948 0.0025390624 0.0028157553 0.004996745 0.0024251302 0.0023763021 0.0028727213 0.0033528646 0.0023600261 0.0028320313 0.0029378256 0.002758789 0.0024576823 0.0026123046 0.0037434895 0.0025716147 0.0026529948 0.0033203126 0.0024495444 0.0029378256 0.0026367188 0.003857422 0.0025472005 0.002726237 0.002766927 0.0033528646 0.0028320313 0.0028320313 0.002742513 0.002750651 0.0028889973 0.003059896 0.0034505208 0.0029785156 0.0026041667 0.0030843099 0.0026692708 0.0028808594 0.0025309245 0.003076172 0.0029947916 0.005021159 0.003133138 0.0035970053 0.0026367188 0.0045247395 0.0035807292 0.0029785156 0.0024495444 0.0024820964 0.0029703777 0.003458659 0.0028238932 0.0039957683 0.0029215494 0.003125 0.002750651 0.0026204428 0.0030029297 0.004003906 0.0030273437 0.0025065104 0.0024739583 0.0037923178 0.0022786458 0.0026855469 0.0028564453 0.0032389322 0.002758789 0.0024414062 0.0029378256 0.0032552083 0.0023111978 0.002709961 0.0025634766 0.0034261069 0.0029052733 0.0029296875 0.002693685 0.003474935 0.0028320313 0.0039225263 0.0030680338 0.0037923178 0.002726237 0.0030110676 0.002734375 0.004597982 0.0032226562 0.0044840495 0.0028564453 0.0037516276 0.0029947916 0.0034098306 0.0041259765 0.0041097007 0.002766927 0.0029866537 0.0030110676 0.002783203 0.0025797526 0.0029947916 0.008292643 0.067226894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016154313 0.0 4.9238446e-05 5.334165e-05 8.206408e-05 6.154806e-05 0.0003036371 9.437369e-05 0.0 4.103204e-06 0.0 4.103204e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074555213 8.206408e-05 8.616728e-05 3.6928835e-05 0.00015181855 2.8722427e-05 0.00015181855 9.0270485e-05 2.4619223e-05 6.975447e-05 2.051602e-05 2.8722427e-05 6.975447e-05 2.8722427e-05 2.051602e-05 5.7444853e-05 0.006741564 2.4619223e-05 0.00012719932 8.616728e-05 0.00018874738 0.000102580096 0.0007837119 0.0003118435 1.23096115e-05 0.0 8.206408e-06 4.103204e-06 0.0 4.103204e-06 4.103204e-06 4.103204e-06 0.0064584427 2.4619223e-05 0.00016002495 0.0001107865 0.00020516019 0.00012309612 0.00091911765 0.00036108194 1.23096115e-05 0.0 8.206408e-06 8.206408e-06 0.0 4.103204e-06 4.103204e-06 4.103204e-06 0.011644892 0.00014771534 0.00014771534 0.0027737657 0.00017233456 0.00019695378 0.00018874738 0.00022977941 0.00018874738 0.00012309612 0.00013950893 0.000114889706 0.00014771534 0.00018874738 0.000221573 0.00018054097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010377002 0.00020105699 0.00017643777 0.0011447938 0.0013376444 0.0003241531 0.0012268579 0.0006606158 0.00011899291 0.00014771534 0.00017233456 0.00019285058 0.00015592175 0.00013950893 0.00017643777 0.00025439865 0.0049238447 0.00016002495 9.847689e-05 0.00015592175 0.0004185268 0.0003241531 0.00015181855 0.00017233456 0.0007755055 6.5651264e-05 6.154806e-05 6.975447e-05 0.00024208902 0.00015592175 0.00028722428 0.00034056592 0.018456211 0.0005293133 0.0009970785 0.0013950893 0.001087349 0.00078781514 0.0017931 0.0013417476 0.0014156053 0.0006934414 0.0009437369 0.00034877233 0.0010504202 0.0006318934 0.0006400998 0.0015017726 0.006396895 0.00027491467 0.0005170037 0.00090270484 0.0012925091 0.00055803574 0.0021213563 0.0013130252 0.0011981355 0.0001107865 9.0270485e-05 0.00011899291 0.0004308364 0.0002092634 0.0005087973 0.0007631959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027122176 0.0002133666 0.00023388262 0.0010381106 0.0011817227 0.00025029544 0.00025439865 0.00025439865 0.00022567621 0.00022977941 0.0002995339 0.00034056592 0.00026260506 0.00025439865 0.0003200499 0.00033235952 0.009658942 0.0017848937 0.0020392924 0.0023265164 0.005141314 0.0034795168 0.001953125 0.0021172531 0.010422138 0.0013212316 0.001005285 0.0016207655 0.0038323924 0.0018792673 0.0035533744 0.0066882223 0.058573235 0.04332573 0.043715533 0.04483981 0.045484014 0.044819295 0.043908384 0.044318706 0.04881992 0.04350627 0.043645777 0.04365809 0.046825763 0.04336676 0.04300568 0.049279477 448.0 7.122768 3191.0 0.010341586 0.0059542465 0.0053274836 0.008147916 0.009401442 0.007834535 0.006581009 0.0068943906 0.00908806 0.0075211534 0.0072077718 0.0072077718 0.005014102 0.006581009 0.012535255 0.0031338139 0.0144155435 0.013162018 0.01598245 0.015355688 0.010028204 0.0068943906 0.0072077718 0.0068943906 0.008774679 0.0072077718 0.0084612975 0.005640865 0.006581009 0.012221874 0.006581009 0.0068943906 0.00908806 0.0084612975 0.0043873396 0.01128173 0.010968349 0.009714823 0.0068943906 0.009401442 0.009401442 0.0084612975 0.008774679 0.011595111 0.010341586 0.013788781 0.009714823 0.0072077718 0.011908493 0.0072077718 0.010654967 0.012221874 0.010341586 0.008774679 0.0075211534 0.007834535 0.008774679 0.008774679 0.0053274836 0.008774679 0.0062676277 0.006581009 0.01128173 0.009401442 0.008147916 0.021623315 0.010341586 0.013475399 0.012535255 0.03854591 0.009401442 0.012221874 0.010968349 0.019743027 0.0075211534 0.010341586 0.026010655 0.01817612 0.016609214 0.02256346 0.012221874 0.009714823 0.019743027 0.018802883 0.027890943 0.012221874 0.004073958 0.008147916 0.0075211534 0.010654967 0.010028204 0.0062676277 0.009401442 0.0068943906 0.008774679 0.0072077718 6.4347906 0.0 0.0 0.0 10.0 122880.0 126976.0 1.0 0.0 30.0 1.0 1.0 0.0 0.0 0.0 1120542700.0 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 -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 12.0 0.0 6.0 0.0 6.0 0.0 8192.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 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 -5.9677515 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.193581 0.0 0.0 7.70217 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.816546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4889474 0.0 3.3061275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2160.0 0.0 0.0 18393.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7564.0 0.0 1200.0 0.0 0.0 0.0 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 1.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 13536.0 1200.0 118784.0 0.0 0.0 0.0 0.0 680.0 122880.0 56.0 16960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.31051704 0.025637124 0.030526327 0.014830725 0.022880595 0.010495992 0.028643196 0.011466164 0.010069945 0.0072288145 0.010216018 0.0057047806 0.0048934636 0.0037906084 0.005642699 0.0029914645 0.007582434 0.011525812 0.0071849925 0.0074546197 0.00293973 0.0025082044 0.005952497 0.004849033 0.003921466 0.0018587859 0.002227013 0.0025581128 0.0028496513 0.00289956 0.0029147759 0.004861206 0.00846131 0.0019519078 0.0024948143 0.0017863577 0.0015556832 0.0027358357 0.0021278046 0.0012781435 0.009870311 0.0010809442 0.008380361 0.0010815528 0.0014528232 0.0018910437 0.002782701 0.0012002377 0.0038283442 0.001397437 0.0014217825 0.001397437 0.0012361474 0.0010821614 0.0011125935 0.00094034843 0.0038125194 0.0041387505 0.0034528135 0.0011765007 0.001545945 0.0010833788 0.0012988372 0.001506992 0.0018502648 0.0021004158 0.0017540999 0.0028119157 0.0022142315 0.0016561088 0.0014053492 0.0016579347 0.0014899501 0.002375521 0.0009768668 0.0010486863 0.001493602 0.0018526994 0.0014016974 0.001419348 0.0020419864 0.00091600284 0.0018855659 0.0028326095 0.0022647486 0.0015136871 0.0020858084 0.0008940918 0.003865471 0.0018557427 0.0013085755 0.0008995696 0.00087583263 0.0009805186 0.0007267159 0.0033036966 0.0014406503 0.009974388 0.0026506262 0.004624445 0.005632961 0.015306681 0.0024309072 0.0030182446 0.0028362614 0.008597037 0.0014443022 0.0014881243 0.0059579746 0.0039926767 0.008239157 0.014119834 0.007231249 0.00093426206 0.011589718 0.009200808 0.011699273 0.004117448 0.0018813055 0.0013177051 0.0015514228 0.0036828793 0.0029579892 0.00769625 0.0012635362 0.0034996786 0.0028922562 0.00078575395 0.00267132 0.0013931764 0.0009939087 0.001101638 0.001295794 0.0008046218 0.0021764957 0.0009537385 0.0013000545 0.00070784806 0.0005264734 0.00058733736 0.0012732744 0.0012184968 0.0017090605 0.0008082736 0.00086426846 0.0015672474 0.000897135 0.0009251324 0.00090200413 0.0023773469 0.0013408334 0.00047717357 0.00068045926 0.0005690782 0.00085148704 0.00050760555 0.0011917166 0.00066341733 0.0008180118 0.0007224554 0.000949478 0.0007376714 0.0013597013 0.0008429661 0.00094034843 0.0009336534 0.0006074225 0.00081496866 0.0008015786 0.0006780247 0.00067863334 0.00082714146 0.0010042556 0.00062629033 0.00073219364 0.0008478352 0.00081192545 0.00064333226 0.00063907175 0.0006755901 0.0013390075 0.0006761988 0.0006780247 0.00059951015 0.0010249494 0.00060985703 0.00091295963 0.0006597655 0.0008727894 0.0007242813 0.0006615914 0.0007041962 0.00090504735 0.00061168295 0.00057759916 0.0007486269 0.000936088 0.0007273245 0.0029336438 0.0006354199 0.00079792674 0.00058733736 0.0008155773 0.0007072394 0.00088557083 0.0007370628 0.00091600284 0.0006761988 0.0013170964 0.0007699293 0.002137543 0.00078879716 0.0010852047 0.0007376714 0.0005800337 0.0009957347 0.0011649365 0.00065611367 0.0008587907 0.0007644515 0.0012933594 0.0011765007 0.00059951015 0.0011004207 0.0012641448 0.0010754665 0.00065246184 0.00075958244 0.0008155773 0.0006987185 0.0010194716 0.0007528874 0.0008003613 0.00070541346 0.0010048642 0.0007577565 0.0007729725 0.0005550795 0.0010127765 0.00070480484 0.0009945174 0.0006494186 0.00062811625 0.00062568166 0.0007236727 0.0006080311 0.00041874417 0.0020164235 0.00072306406 0.0010286012 0.0004869118 0.0004345688 0.0006981098 0.00057759916 0.0013018805 0.0040139793 0.01363715 6.3966974e-05 4.264465e-06 9.1381395e-07 3.0460464e-07 0.0012504021 0.0012449191 0.001248879 0.0 0.0 0.0012482698 0.0012479653 0.0012479653 0.0012479653 0.001261977 6.092093e-07 0.0011684634 4.4167675e-05 5.482884e-06 2.4368371e-06 2.741442e-06 0.0 0.0005705245 5.3305812e-05 0.0 0.0 0.0 0.0 9.1381395e-07 0.0 2.3454559e-05 0.0 0.0026869175 0.0003807558 9.1381395e-07 2.3149953e-05 1.49256275e-05 0.0 0.0 0.0 9.1381395e-07 4.264465e-06 4.56907e-06 0.00013311223 0.0006101231 0.00061225536 0.0005187417 0.0 0.0068450756 0.00050320686 0.00015991744 4.8127535e-05 8.6812324e-05 0.00034572626 0.0006369283 0.00040451498 6.914525e-05 0.00016753256 0.0010913984 0.0011139392 0.00064454344 0.00062779017 0.00025129883 0.0001044794 0.0056516347 0.00042218203 7.5846554e-05 6.122553e-05 0.00012945698 8.772614e-05 5.3001208e-05 0.0005357996 4.447228e-05 1.9799301e-05 6.0616327e-05 5.3305812e-05 3.3811117e-05 3.411572e-05 2.3149953e-05 0.00019982064 0.027205154 0.0010484492 0.00050168385 0.00063144544 0.00084405945 0.0009765625 0.00040481958 0.00027201194 0.00038410645 0.00024337911 0.00044167673 0.0005193509 0.00022662585 0.0004328432 0.0008318753 0.0005942837 0.021572102 0.00088822714 0.0005549897 0.00043710766 0.00053336273 0.00047457404 0.000919906 0.0006530724 0.00035699664 0.00030369085 0.0003679624 0.0003615657 0.00017606148 0.00035638743 0.00030034018 0.0004398491 0.033764817 0.0011970963 0.0040354026 0.0009488435 0.006559661 0.0046354737 0.04324716 0.022033881 0.00023941926 0.00012366948 9.4122835e-05 4.59953e-05 9.351363e-05 0.00015047469 4.660451e-05 6.3966974e-05 0.076922424 0.0072319238 0.0074969297 0.0058359206 0.0055176085 0.004714366 0.021568142 0.014389828 0.0019436822 0.0013978308 0.0009902697 0.0006637335 0.0010070229 0.0013618874 0.0009339178 0.0014867752 0.20831485 0.036504734 0.023269663 0.014706922 0.0069787973 0.008643157 0.0121528115 0.021117935 0.007951399 0.0050646616 0.0038849276 0.0031645377 0.004287006 0.0048328573 0.003604996 0.006699779 0.093738124 0.019528205 0.010370265 0.0050293272 0.0040171263 0.0046053175 0.0073842257 0.008287988 0.0055669546 0.0054460266 0.002938521 0.002818507 0.0038690881 0.0040792655 0.0034645733 0.0041340943 0.009887467 0.0037569937 0.0015684094 0.00087451993 0.00080872537 0.00076273 0.0017734083 0.0013250302 0.0010457077 0.00084436405 0.00039507222 0.00033841576 0.00025952316 0.00053275353 0.0003743591 0.0004057334 0.0014578379 0.00062535336 0.0003609565 0.00011544516 0.00024063767 0.00011605437 0.00016083126 0.0003731407 0.00025221266 6.6403816e-05 0.0001836766 8.863995e-05 7.0972885e-05 8.559391e-05 7.736958e-05 9.1686e-05 0.000553162 0.00031587502 0.000105697814 0.000105088606 0.00015443456 3.8989394e-05 4.7518326e-05 3.9294e-05 6.213935e-05 6.6403816e-05 6.153014e-05 6.153014e-05 6.031172e-05 6.670842e-05 5.1478186e-05 8.132944e-05 0.00015869903 5.1478186e-05 4.6299905e-05 2.954665e-05 3.0460465e-05 2.223614e-05 2.497758e-05 2.7109814e-05 2.2845348e-05 2.497758e-05 3.4420325e-05 2.9242046e-05 3.076507e-05 4.2340045e-05 2.7719023e-05 2.0713116e-05 0.0017063952 0.0015778521 0.0015973467 0.0015955191 0.0015973467 0.0015933869 0.0015909501 0.0015769383 0.0015943007 0.0015936915 0.001596433 0.0016010021 0.0015903409 0.0015769383 0.0015717599 0.0016168414 10085.0 16.508478 166488.0 0.0012613522 0.0018800154 0.0032374705 0.0013634616 0.0023905628 0.001177262 0.0009970688 0.00096103025 0.0009790496 0.00096703664 0.0011592427 0.0010210946 0.0013574552 0.002354524 0.0061505935 0.0009430109 0.0034056508 0.0033756187 0.003285522 0.0026908845 0.0024566336 0.0022524146 0.002312479 0.0016337514 0.002162318 0.0018740089 0.0010030753 0.0010150882 0.0019460862 0.0012253135 0.0019701119 0.0010331075 0.0009790496 0.010937725 0.0051355055 0.01460766 0.008318918 0.008000577 0.006721205 0.0060124453 0.003736005 0.012625535 0.0010511269 0.0030332517 0.004667003 0.0063848444 0.005483879 0.0060304645 0.007399933 0.0011832685 0.009604296 0.015604728 0.01160444 0.0053577437 0.005105473 0.0041023977 0.0032614963 0.0027749748 0.0028110135 0.00246264 0.00246264 0.0023845562 0.0023965691 0.020229686 0.0032134447 0.052466244 0.011304118 0.027143097 0.024650425 0.10403753 0.011808659 0.017857144 0.012006871 0.047859304 0.004444765 0.008036615 0.035882466 0.023809524 0.050622266 0.043282397 0.018319638 0.0031173418 0.05159531 0.037017684 0.070461534 0.021448994 0.008667291 0.005087454 0.007363894 0.018698044 0.0042765844 0.0025227044 0.0028770843 0.0026608524 0.002258421 0.000888953 5.4678755 0.0 0.0 0.0 2.0 1643008.0 1671168.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1432286600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 1640960.0 512.0 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 -1640960.0 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 -5.7809324 0.0 3.0246732 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 -1640692.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1648796.0 1024.0 1654784.0 0.0 0.0 0.0 0.0 12.0 1662976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.13083838 0.0056493618 0.010500672 0.0036752352 0.0044942875 0.0036962365 0.0033392138 0.0029821908 0.00812752 0.0053553428 0.0043052756 0.0033182125 0.0054813507 0.0027091734 0.0038852487 0.0031292003 0.0073504704 0.0052083335 0.005019321 0.0031502016 0.0060903896 0.0028351815 0.0033812164 0.0026041667 0.004263273 0.0030871977 0.0028351815 0.0021211358 0.0051033264 0.0025201612 0.0033392138 0.0028981855 0.007623488 0.0048513105 0.005796371 0.0053343414 0.007623488 0.0032762096 0.0032552083 0.0032972111 0.005019321 0.0043682796 0.0039272513 0.0034652217 0.004095262 0.0026461694 0.004893313 0.0023311493 0.004746304 0.004746304 0.0044102822 0.003234207 0.0037592405 0.0043682796 0.0024151546 0.0020371303 0.0042842743 0.0032552083 0.0027091734 0.002373152 0.0038642474 0.0019111224 0.0027301747 0.0020791332 0.007518481 0.0038852487 0.0047253026 0.004578293 0.0070984545 0.004263273 0.0046412973 0.004263273 0.0059643816 0.004095262 0.0038012434 0.0032132056 0.0054813507 0.0032132056 0.0037172379 0.0032762096 0.0057123657 0.0028351815 0.004746304 0.0048513105 0.0042212703 0.0030451948 0.0033392138 0.0025411625 0.00390625 0.002751176 0.002751176 0.0028771842 0.0030031921 0.0019111224 0.0028141802 0.0021211358 0.0028561829 0.0078125 0.005166331 0.0038012434 0.006342406 0.0049773185 0.0028561829 0.0028771842 0.0036962365 0.0126638105 0.0032552083 0.0038012434 0.00921959 0.0034652217 0.008505545 0.0077284947 0.007623488 0.005796371 0.008337534 0.00531334 0.009702621 0.005019321 0.004809308 0.0030661963 0.0036752352 0.0031292003 0.0035072244 0.0021001345 0.003486223 0.0020791332 0.0025411625 0.0018691196 0.0045572915 0.0021841398 0.0020791332 0.0026041667 0.0038852487 0.0036542339 0.0023941533 0.0026671707 0.0065104165 0.0046833 0.003171203 0.003843246 0.0022891464 0.0030451948 0.003108199 0.0021841398 0.0043472783 0.0047883065 0.0029191868 0.0023521506 0.0040742606 0.0030241935 0.0021421371 0.0021841398 0.0033812164 0.0021211358 0.0024571572 0.0022891464 0.0032552083 0.0019951276 0.0017011089 0.0018271169 0.0027301747 0.0019321237 0.0025831654 0.0017641129 0.0034442204 0.0032552083 0.0022891464 0.0024151546 0.0030031921 0.0024151546 0.0016171035 0.0019741263 0.0033182125 0.0027091734 0.002016129 0.0019741263 0.003171203 0.0018691196 0.0027931787 0.0017011089 0.0026041667 0.0023311493 0.0019111224 0.0017851143 0.0036122312 0.0026461694 0.0034652217 0.0018901209 0.002625168 0.0016171035 0.0017431115 0.0014490928 0.0030031921 0.001344086 0.0027931787 0.0018901209 0.0036332326 0.0017431115 0.0019741263 0.0021421371 0.0056073586 0.0023941533 0.0026041667 0.0018481183 0.002625168 0.0015961021 0.0016591062 0.0014700941 0.0030661963 0.0014490928 0.003423219 0.0020371303 0.003423219 0.002268145 0.0021211358 0.0010920699 0.0036122312 0.0021421371 0.0015961021 0.0018691196 0.0039902553 0.0015330982 0.0021211358 0.0012810819 0.0030031921 0.0022051411 0.0023311493 0.0015961021 0.003969254 0.0020791332 0.0014490928 0.0017221102 0.004200269 0.0027721773 0.0016381048 0.0027091734 0.0028141802 0.0017851143 0.0017011089 0.0013650873 0.0032972111 0.0019321237 0.0023941533 0.0015961021 0.0029821908 0.001953125 0.0015540995 0.0014490928 0.0032552083 0.0019741263 0.0018061156 0.0018481183 0.0032132056 0.0019321237 0.0019321237 0.0035492273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01704644 0.0005533854 0.0026150174 0.0010525173 0.002018229 0.00031467015 0.01219618 0.0077582467 0.00011935764 9.765625e-05 0.00011935764 9.765625e-05 0.000108506945 0.00011935764 0.00013020834 9.765625e-05 0.017230902 4.340278e-05 0.0011827257 0.00066189235 0.0025282118 0.00068359374 0.012445747 0.0076171877 0.0011284723 1.0850695e-05 2.170139e-05 4.340278e-05 4.340278e-05 0.0 4.340278e-05 0.0007595486 0.017024739 0.00014105903 0.003917101 0.0026584202 0.001030816 0.00022786458 0.011490885 0.0067599826 0.00017361112 0.00013020834 0.00017361112 0.00015190973 0.00014105903 0.00017361112 8.680556e-05 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011447483 0.0012586806 0.0010959201 0.00052083336 0.0008029514 0.0005750868 0.001421441 0.0012912326 0.0006727431 0.0004231771 0.0003797743 0.00031467015 0.0004123264 0.0006184896 0.00045572917 0.000531684 0.028645834 0.0037217883 0.003949653 0.002842882 0.004166667 0.0026475694 0.0027126735 0.002951389 0.0031684027 0.0023003472 0.0016276041 0.001421441 0.001920573 0.0013020834 0.0018554687 0.0014322917 0.015993923 0.002126736 0.0024088542 0.001529948 0.0034722222 0.0029622396 0.0023546007 0.0016927083 0.0021050347 0.0016927083 0.0015516493 0.0014431423 0.001421441 0.0012586806 0.0012478299 0.0011827257 0.018652344 0.0049370658 0.0048502604 0.0031141492 0.0043185763 0.003049045 0.0030381945 0.0034179688 0.003765191 0.0034613716 0.0026041667 0.0022677951 0.0026041667 0.0022569445 0.0021484375 0.0021809896 0.05467665 0.05078125 0.053786892 0.042144097 0.05747613 0.044552952 0.045366753 0.042111546 0.04236111 0.038194444 0.034255642 0.03264974 0.03280165 0.03249783 0.032573786 0.030436197 551.0 9.945554 5480.0 0.010948905 0.0034671533 0.0038321167 0.0027372262 0.020620437 0.002919708 0.00419708 0.0034671533 0.0047445255 0.005291971 0.0047445255 0.0045620436 0.005291971 0.0027372262 0.020072993 0.0023722628 0.010766423 0.011861314 0.0062043797 0.00419708 0.006021898 0.017883211 0.002919708 0.0018248175 0.004379562 0.0038321167 0.0031021899 0.0025547445 0.0031021899 0.0016423358 0.0023722628 0.0025547445 0.032664232 0.0045620436 0.006021898 0.006569343 0.0069343066 0.0062043797 0.0062043797 0.0047445255 0.0076642334 0.0045620436 0.00419708 0.0034671533 0.006569343 0.005839416 0.00419708 0.004379562 0.00930657 0.0027372262 0.006021898 0.008029197 0.006569343 0.0027372262 0.004379562 0.0031021899 0.0047445255 0.0034671533 0.0016423358 0.0032846716 0.0027372262 0.0012773722 0.003649635 0.0027372262 0.0025547445 0.04087591 0.020072993 0.016058395 0.014233577 0.018430658 0.006386861 0.005109489 0.0054744524 0.08740876 0.003649635 0.012043796 0.050364964 0.006386861 0.049452554 0.04379562 0.031569343 0.032664232 0.040693432 0.016240876 0.04781022 0.009489051 0.024635037 0.003649635 0.005839416 0.006569343 0.01770073 0.0027372262 0.0031021899 0.001459854 0.00419708 0.00091240875 5.7667804 0.0 0.0 0.0 1.0 47616.0 151552.0 0.0 0.0 80.0 1.0 1.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 70144.0 1024.0 4096.0 8.0 3.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.9352338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.879931 0.0 0.0 0.0 0.0 0.0 0.0 -12.937968 7.085756 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 4096.0 0.0 0.0 -36864.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5608.0 137180.0 15360.0 118784.0 0.0 0.0 0.0 0.0 8.0 136864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0