Input: 0.15515922 0.007693381 0.0036858022 0.006001242 0.014950226 0.023107145 0.0049301544 0.0012601033 0.007295098 0.0010283344 0.001023834 0.0011543446 0.005222678 0.002477453 0.0009158251 0.005499451 0.0298712 0.0012331011 0.00077181327 0.0006615542 0.001962161 0.0071645873 0.0008820723 0.0005872982 0.0020071645 0.0010598369 0.0005062915 0.0004950406 0.0018744037 0.00055804575 0.00054679485 0.0006503033 0.002209681 0.00042978523 0.0012241004 0.00045903763 0.0070138252 0.0038635668 0.00042978523 0.0003375277 0.0014086155 0.00049954094 0.00068855647 0.0006413026 0.0015436265 0.0005647963 0.00084606936 0.0005872982 0.004057083 0.0028014798 0.0024369499 0.0039873268 0.0031750104 0.0024909542 0.0024819535 0.002304189 0.0028869868 0.0021534266 0.002171428 0.0031997624 0.002646217 0.0024932045 0.0020139152 0.005272182 0.015091987 0.005265432 0.0032267645 0.0013231084 0.0043833596 0.0110844085 0.0014378679 0.000963079 0.0022839373 0.0018991558 0.0012196 0.0010530864 0.0026057137 0.0076866304 0.0014671203 0.0009923314 0.00804441 0.006034995 0.0008258177 0.0025202066 0.0018586525 0.0021939299 0.004948156 0.0022614354 0.0026799696 0.0014131159 0.0027092223 0.0009000738 0.0009540782 0.0017326421 0.0020094148 0.0019936634 0.0010710878 0.004684884 0.0011993484 0.0031907617 0.0050539146 0.008960235 0.0017551439 0.0023559432 0.0044846176 0.00524293 0.0039558243 0.0005400443 0.0031232561 0.002135425 0.004828896 0.0047906428 0.002171428 0.0005377941 0.0040660836 0.003012997 0.012056489 0.005083167 0.0015323757 0.0007965653 0.0017146406 0.0009608288 0.00083931885 0.00029477416 0.0027992295 0.0008145668 0.00069530704 0.00078981475 0.0019171572 0.0009293262 0.0005152923 0.008233425 0.0021264243 0.00292749 0.00064805313 0.00030827528 0.001487372 0.0055264533 0.0006638044 0.02366519 0.001305107 0.011250922 0.0010845889 0.00053104357 0.0009540782 0.0005220428 0.0006548037 0.0012060989 0.0014693704 0.0009585786 0.00055579556 0.00050179113 0.001280355 0.00069080666 0.00093607674 0.00038703173 0.0014918724 0.00042528487 0.00042753507 0.00044553654 0.0011025905 0.0034697845 0.00046803837 0.0011655956 0.00062105095 0.00029477416 0.00034202804 0.00028127307 0.00070655794 0.00025652105 0.00039603247 0.00032177637 0.0008708214 0.00032852695 0.0003352775 0.00041628414 0.001170096 0.0006593041 0.00060304947 0.00060529966 0.001658386 0.0022389337 0.004552123 0.00048829004 0.0021691779 0.0009540782 0.00040278301 0.00042753507 0.0012983565 0.00047028856 0.00055579556 0.0006840561 0.004315854 0.0020859211 0.0023784451 0.0031210058 0.004000828 0.0009945816 0.002328941 0.00463538 0.0025764613 0.00063455204 0.00044103616 0.00077856384 0.2072465 0.00028127307 0.0013231084 0.0007988155 0.0009720797 0.0005355439 0.000524293 0.00038478154 0.0011228421 0.00032177637 0.00086182065 0.00049954094 0.0012398517 0.0003622797 0.00044103616 0.00038028118 0.0010665875 0.00056254613 0.00031502583 0.00029702435 0.0015616281 0.00040278301 0.00038253138 0.00041628414 0.0014648702 0.0009315764 0.0004792893 0.0003060251 0.0074121077 0.0048941514 0.00038253138 0.0014491188 0.0035080377 0.00031277564 0.00043878597 0.00038478154 0.0035822936 0.000816817 0.00090907456 0.0010418354 0.002094922 0.00039603247 0.0008978236 0.0005872982 0.0022591853 0.0007515616 0.0005107919 0.0007583122 0.0046623824 0.0017866465 0.0025787114 0.035312146 0.02078247 4.5211227e-06 1.4693649e-05 0.0 6.781684e-06 0.0 1.1302807e-06 2.2605614e-06 2.2605614e-06 1.1302807e-06 4.5211227e-06 0.0 0.053244133 2.2605614e-06 1.1302807e-06 6.781684e-06 3.616898e-05 3.390842e-05 2.2605614e-06 2.2605614e-06 4.5211227e-06 6.781684e-06 6.781684e-06 4.5211227e-06 1.1302806e-05 0.0 2.2605613e-05 1.1302806e-05 0.0044600875 2.2605614e-06 1.1302806e-05 1.3563368e-05 0.0042939363 2.5996456e-05 4.2950665e-05 4.5211225e-05 1.4693649e-05 1.808449e-05 9.3813294e-05 4.1820385e-05 3.390842e-06 6.781684e-06 3.390842e-06 3.390842e-06 0.0 0.0 1.808449e-05 1.808449e-05 0.008713334 0.00013337312 5.5383753e-05 0.00020005967 5.5383753e-05 3.955982e-05 0.0001638907 6.1035156e-05 4.0690105e-05 4.4080945e-05 4.2950665e-05 3.1647858e-05 0.0040870947 2.4866174e-05 2.1475333e-05 0.00017406323 0.0059339735 0.00029500326 0.00011980975 7.346825e-05 5.1992913e-05 3.729926e-05 0.00022379558 0.0001401548 9.1552734e-05 9.042245e-05 3.955982e-05 2.9387298e-05 0.004015887 2.4866174e-05 9.720414e-05 0.00030969692 0.007356997 0.00049619324 0.00022605613 0.00011754919 0.00043063692 0.0002452709 0.0004622848 0.00021249277 0.0002102322 6.781684e-05 2.8257016e-05 0.00011641891 0.005601671 5.7644313e-05 8.251049e-05 0.0004916721 0.029997649 0.0034823949 0.0011144568 0.0004442003 0.00038768628 0.0003379539 0.00068721065 0.00042611582 0.00027352793 0.00058548537 0.00019214771 0.00028935185 0.0019022623 0.0003684715 0.0002622251 0.0032303422 0.021896927 0.0019700793 0.0007742423 0.00048262984 0.00053575303 0.00047245732 0.0017180266 0.00070868596 0.00044872143 0.00039220738 0.00020684136 0.00022492585 0.0020605016 0.00060583046 0.0006713867 0.0015530057 0.015224881 0.0008533619 0.00071094657 0.0014151114 0.0053179706 0.002638075 0.0068042898 0.0026425961 0.00047810873 0.00027691876 0.00016615127 0.00023283782 0.0030314128 0.0002803096 0.00050975656 0.0010839392 0.012009232 0.0015699598 0.0007493761 0.0026007758 0.016299777 0.009154143 0.019978842 0.010620117 0.00063634804 0.00040464048 0.000193278 0.00026109483 0.0029579445 0.00023170754 0.0004396792 0.0005967882 0.007594356 0.001494231 0.0005504467 0.003254078 0.008179842 0.005389178 0.009324815 0.0050286185 0.00056401006 0.0008115415 0.00021588361 0.00031873916 0.00031421802 0.00025431314 0.00044533057 0.00024188006 0.022708468 0.006508156 0.0048195166 0.02798123 0.0052693686 0.0046296297 0.0049110693 0.003950331 0.007837366 0.0029963742 0.002690068 0.0040780525 0.023170754 0.0023792407 0.006025526 0.0066189235 0.051947698 0.019394485 0.007482458 0.0047980417 0.012768781 0.010800962 0.0065217195 0.00684611 0.029224537 0.0045968513 0.004204644 0.0065748426 0.09146344 0.002561216 0.008344863 0.024136014 0.02730193 0.012326841 0.004434091 0.003459789 0.010846173 0.007909704 0.004064489 0.005645752 0.020957664 0.0017508047 0.002242477 0.005386918 0.040362325 0.0021656177 0.006595188 0.018161349 0.0044962564 0.0019146955 0.0011099356 0.0011822736 0.0014704951 0.0009822139 0.0016558612 0.0012082701 0.0020491988 0.0005628798 0.00058096426 0.00087370694 0.001888699 0.00041368272 0.0008364077 0.0019226074 0.00085110136 0.00035264756 0.00034812646 0.0003684715 0.0003684715 0.00041368272 0.00052218966 0.00046906646 0.00038316514 0.00028935185 0.0004566334 0.0004204644 0.0003447356 0.00044533057 0.00037073207 0.00054027414 2338.0 25.727972 60152.0 0.0052034846 0.00069823116 0.0015128341 0.00058185926 0.0033747838 0.00069823116 0.000814603 0.0004156138 0.002327437 0.0007979784 0.0008312276 0.0005153611 0.0014130869 0.001296715 0.003590903 0.001629206 0.012501663 0.010240723 0.0077304165 0.005768719 0.009210002 0.006965687 0.0073979255 0.0062508313 0.007381301 0.0059848386 0.0066830697 0.005602474 0.007431174 0.005885091 0.005851842 0.030373055 0.09728687 0.031370528 0.016092565 0.0064503257 0.008528395 0.022360021 0.003773773 0.0022941881 0.007913287 0.010672962 0.0010972203 0.005070488 0.0077969143 0.007946535 0.0037571485 0.0038070222 0.01311677 0.035460167 0.0031254156 0.011387818 0.0036407767 0.005702221 0.017272908 0.0062840804 0.014330363 0.0010805958 0.017339407 0.00073148025 0.0012302168 0.0006649821 0.000997473 0.006300705 0.0015294587 0.032002263 0.0071153077 0.021013433 0.015942944 0.059449393 0.0047213724 0.015643703 0.008262402 0.036291394 0.003075542 0.0019616971 0.017455779 0.0133661395 0.032268252 0.03206876 0.0084951455 0.0016957042 0.027131267 0.020099083 0.05712196 0.011171699 0.00854502 0.0036740259 0.006267456 0.00518686 0.003441282 0.0004156138 0.0010972203 0.0006816066 0.00058185926 0.00038236467 5.6780124 1.0 20.0 0.0 4.0 444408.0 471040.0 1.0 171.0 883.0 1.0 1.0 1.0 1.0 0.0 1539850600.0 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 5.0 51.0 14.0 14.0 6.0 0.0 6.0 0.0 283136.0 1024.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -1024.0 0.0 0.0 -27648.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -283136.0 -53760.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.014213046 0.0 0.0 -6.3718886 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 4.299314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.209383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2422113 -5.4073405 2.8991907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -777.0 0.0 0.0 -27139.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 65801.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -283005.0 -53703.0 1113.0 0.0 0.0 0.0 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 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 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 -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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 1.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 2.0 0.0 -1.0 1.0 -1.0 0.0 3.0 -2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 2.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 1.0 1.0 2.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 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 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 2.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -3.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 3.0 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 -2.0 0.0 1.0 -2.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 -4.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 3.0 0.0 -1.0 1.0 -2.0 1.0 1.0 1.0 0.0 1.0 0.0 -3.0 1.0 -1.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 2.0 1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 -1.0 1.0 2.0 1.0 1.0 -3.0 0.0 1.0 0.0 0.0 -1.0 -3.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 2.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 -2.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 -2.0 0.0 -1.0 -1.0 -2.0 2.0 0.0 2.0 1.0 -1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 -1.0 2.0 2.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -2.0 1.0 0.0 2.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 2.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -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 1.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 1.0 -1.0 -1.0 -1.0 2.0 2.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 -2.0 1.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 -2.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 1.0 0.0 -3.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 1.0 -1.0 -2.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 -2.0 2.0 1.0 1.0 -2.0 -3.0 1.0 1.0 -1.0 -1.0 -2.0 0.0 1.0 -2.0 -4.0 2.0 3.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 3.0 1.0 2.0 0.0 0.0 2.0 2.0 -2.0 -2.0 12137.0 344480.0 360.0 377688.0 1113.0 438272.0 0.0 0.0 7160.0 437248.0 23836.0 442368.0 56.0 312832.0 0.0 0.0 0.0 0.0 24.0 313580.0 64.0 312888.0 0.0 0.0 4952.0 372736.0 0.0 0.0 0.0 0.0


Input: 0.06754038 0.006162776 0.0043947143 0.004895029 0.006302695 0.0041191173 0.0037566011 0.0040979176 0.0055352626 0.00386684 0.004526153 0.0033644051 0.0048462697 0.0037184416 0.0037354012 0.0043035555 0.0052278657 0.003472524 0.0037990008 0.0035530832 0.0041996767 0.0039304392 0.0031799672 0.0027517315 0.003663322 0.0034301244 0.0031502873 0.0035043238 0.0038202005 0.003474644 0.003260526 0.003071848 0.0046936315 0.0031121278 0.0031969268 0.0036718019 0.0074008433 0.0034152847 0.0032138866 0.0036124426 0.0037120816 0.0033856048 0.0034089247 0.003567923 0.0030146088 0.0035170435 0.0035933629 0.0028577305 0.0034258845 0.0034089247 0.0033156457 0.004752991 0.003383485 0.0034470842 0.0033622852 0.0030548885 0.0039855586 0.0038053605 0.0034831238 0.0040025185 0.0032414463 0.0033389654 0.0031184878 0.0028365306 0.004755111 0.0064086937 0.0032244865 0.0032647662 0.0046766717 0.004352315 0.003964359 0.0033644051 0.0041742367 0.004070358 0.0038223204 0.0034152847 0.004263276 0.0035276434 0.0038626 0.0032308465 0.0045515927 0.0035191635 0.0035573232 0.004049158 0.003567923 0.003561563 0.004447714 0.0035912427 0.003266886 0.0037014817 0.0037205615 0.0042971955 0.0037163214 0.0035191635 0.0038350404 0.0034004448 0.0031714872 0.003090928 0.0030464085 0.0032478063 0.0036421223 0.0035827628 0.0042102765 0.0033008058 0.0038414001 0.0040194783 0.004536753 0.0030358084 0.0034682842 0.0038943996 0.003782041 0.0032859659 0.0036336423 0.00386048 0.0037481212 0.0035891228 0.005278745 0.0050921873 0.0033368454 0.0033304854 0.0031524072 0.003099408 0.0033326056 0.003001889 0.0032711262 0.0034364844 0.0028365306 0.0029785691 0.004335355 0.0037417612 0.0033262456 0.00676061 0.003684522 0.004507073 0.0031969268 0.0032372065 0.0039495192 0.005425024 0.004034318 0.008034716 0.0033008058 0.0045897523 0.0033008058 0.0031566473 0.003561563 0.0033389654 0.003769321 0.0035488433 0.0033029257 0.0033940847 0.0034046848 0.0030972878 0.003379245 0.0034555641 0.003182087 0.00289165 0.003481004 0.0033622852 0.0031630073 0.003093048 0.0034280044 0.0033241257 0.0031312075 0.002991289 0.0035085636 0.0036103225 0.0033262456 0.0031608872 0.0033474453 0.0032711262 0.0030421684 0.0032329664 0.0033538053 0.003765081 0.003457684 0.002792011 0.0032202466 0.0029382897 0.0033622852 0.0029319297 0.0036866418 0.0036124426 0.003947399 0.0036315224 0.0040618777 0.0034152847 0.0032478063 0.0030697281 0.003099408 0.0031969268 0.0029086098 0.00291285 0.0048759496 0.004072478 0.0032478063 0.004507073 0.004411674 0.0033707651 0.0035827628 0.0038308003 0.0034831238 0.0037396413 0.002987049 0.0034322445 0.005096427 0.0030273285 0.0032117667 0.003093048 0.0033432054 0.0030612482 0.0038223204 0.0034322445 0.0033983248 0.0031333275 0.0036506022 0.003199047 0.003372885 0.003190567 0.003555203 0.0039961585 0.0033919648 0.0031375675 0.0032244865 0.0031078877 0.0033538053 0.003182087 0.003570043 0.0033538053 0.0031651272 0.0031036478 0.0031502873 0.0031714872 0.0043925946 0.003773561 0.00289377 0.0045982325 0.0031375675 0.0035340034 0.0030612482 0.0030824482 0.0032435665 0.003190567 0.0031545274 0.0032266066 0.0034110446 0.0032202466 0.003366525 0.0034195245 0.0036421223 0.0032054067 0.00291285 0.003184207 0.0032223666 0.0030824482 0.0032160068 0.007990197 0.023954503 3.1913808e-06 0.0 0.0 1.0637935e-06 0.0 0.0 0.0 1.0637935e-06 0.0 0.0 0.0 0.0 0.0 1.0637935e-06 4.255174e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0077603743 0.00014148455 0.00014254834 9.680521e-05 5.8508645e-05 3.829657e-05 9.042245e-05 7.127417e-05 5.1062092e-05 2.4467252e-05 3.0850013e-05 2.978622e-05 2.4467252e-05 8.510348e-06 2.0212077e-05 0.00012552764 0.0036573224 6.914658e-05 5.5317265e-05 2.2339666e-05 8.935866e-05 3.4041394e-05 3.29776e-05 5.8508645e-05 0.000111698326 1.1701729e-05 2.5531046e-05 6.3827615e-06 3.29776e-05 2.8722427e-05 5.1062092e-05 7.021038e-05 0.00335946 6.808279e-05 6.59552e-05 4.0424155e-05 0.00013084662 7.233796e-05 0.00026169323 0.00017446214 1.0637936e-05 1.489311e-05 7.446555e-06 1.2765523e-05 9.5741425e-06 9.5741425e-06 1.0637936e-05 0.000108506945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010318798 6.3827615e-06 8.510348e-06 1.5956904e-05 0.00019361042 8.1912105e-05 0.000525514 0.00027445875 4.255174e-06 6.3827615e-06 8.510348e-06 6.3827615e-06 3.1913808e-06 3.1913808e-06 4.255174e-06 4.255174e-06 0.0026828875 9.361383e-05 8.616728e-05 8.616728e-05 0.0001499949 0.00014573972 7.127417e-05 0.00013722938 0.00017339835 5.5317265e-05 5.8508645e-05 4.787071e-05 0.00014254834 6.914658e-05 0.0001329742 0.00022446044 0.0039913533 0.00020212078 0.00039573121 0.00040317775 0.0003978588 0.00024041734 0.0012499575 0.00065423304 8.1912105e-05 0.00012552764 9.999659e-05 0.00010744315 0.00015212248 9.467763e-05 0.000108506945 0.00040956054 0.0029935152 0.00015850524 0.00014148455 0.00040743293 0.000262757 0.00015318628 0.00033615876 0.00019467423 0.00030637256 0.00022871562 8.8294866e-05 9.361383e-05 0.0003638174 9.786901e-05 0.00018616387 0.00052338646 0.0006606158 5.318968e-05 5.4253473e-05 7.021038e-05 8.723107e-05 0.0002638208 0.000114889706 7.659314e-05 0.00033935014 1.808449e-05 2.1275871e-05 4.0424155e-05 0.00023935355 1.1701729e-05 5.2125884e-05 7.5529344e-05 0.02144076 0.003927526 0.004927492 0.0033115894 0.0070891203 0.0062497873 0.0024158752 0.0042849607 0.012589997 0.0005999796 0.00093720213 0.0015393093 0.00734975 0.001551011 0.003132872 0.005798739 0.0072316686 0.0015244161 0.001344635 0.0014137817 0.0025701253 0.0023275802 0.0008935866 0.002020144 0.0041956017 0.00037020017 0.00048615367 0.00066912617 0.0022169459 0.00085316243 0.0016063283 0.0029562823 0.055835333 0.051279105 0.052170563 0.05012489 0.053390734 0.050754655 0.051190812 0.049061097 0.050779123 0.052004613 0.051015284 0.050701465 0.04949619 0.05132272 0.04925577 0.04643246 2104.0 6.269962 13192.0 0.016525166 0.008110977 0.007656155 0.0078077624 0.014251061 0.008717405 0.008869012 0.010839903 0.013265615 0.010006065 0.009399636 0.010006065 0.008793208 0.009778653 0.011143117 0.007352941 0.011597938 0.008793208 0.009248029 0.00795937 0.008869012 0.008717405 0.00795937 0.0075045484 0.01591874 0.00947544 0.00795937 0.00970285 0.006746513 0.008717405 0.0078835655 0.00795937 0.009323833 0.0140994545 0.007201334 0.011143117 0.010839903 0.010915707 0.0120527595 0.011749545 0.012962402 0.013417223 0.009627047 0.008641601 0.009399636 0.010233475 0.011749545 0.008110977 0.010385082 0.00947544 0.01228017 0.01250758 0.010006065 0.009172225 0.010233475 0.010612492 0.0072771376 0.010081868 0.009248029 0.0107641 0.008035173 0.0075045484 0.0077319588 0.00841419 0.008338387 0.016297756 0.009323833 0.008944815 0.013265615 0.026379624 0.009551243 0.010612492 0.010157672 0.016525166 0.010309278 0.008110977 0.01250758 0.010915707 0.018496059 0.015009097 0.011749545 0.00970285 0.018268649 0.01379624 0.02243784 0.012734991 0.00818678 0.0066707097 0.009020618 0.00818678 0.008869012 0.00818678 0.005836871 0.0072771376 0.005306246 0.006291692 6.519831 0.0 0.0 0.0 7.0 471703.0 102400.0 0.0 0.0 67.0 0.0 1.0 0.0 0.0 0.0 1179906000.0 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 61440.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.558257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4574431 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6365128 0.0 4.5433087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3394.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57766.0 0.0 2656.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 67328.0 2656.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.05667444 0.008300336 0.006167266 0.0056588496 0.0057551484 0.004954729 0.004199871 0.005422762 0.005051028 0.0056195017 0.0037515117 0.0044763414 0.0049588713 0.0031726835 0.0043251626 0.004644088 0.005033425 0.0037711856 0.0049267714 0.0041625937 0.0043510497 0.0031768254 0.00411082 0.0038395268 0.0050717373 0.0033528553 0.0031602578 0.0029262414 0.004149133 0.003437764 0.0037877532 0.0037929306 0.006173479 0.0038198528 0.0034833248 0.003030824 0.004899849 0.004160523 0.0038426332 0.0037173412 0.0047258902 0.0038944068 0.003334217 0.0030970941 0.0043707234 0.0037308023 0.0037287315 0.0035858364 0.0055107772 0.003943074 0.0031064134 0.0029024256 0.0036759223 0.0030712073 0.0026829056 0.002868255 0.0041688066 0.0033186849 0.0035216373 0.0033601038 0.004005202 0.003220315 0.0035019633 0.0034481187 0.0066125183 0.003944109 0.0036272553 0.003220315 0.0041553457 0.0032192797 0.0035413112 0.0030649945 0.00500029 0.0037784341 0.0037007737 0.0035910138 0.0041253166 0.0031281582 0.0035609852 0.0034667572 0.005180462 0.0036293261 0.0036500357 0.0033362878 0.003932719 0.0033890968 0.0033642456 0.0035361338 0.0046565137 0.0036438229 0.0038084628 0.0035081762 0.0041128914 0.0033839196 0.0036893836 0.0037836113 0.0059135756 0.003624149 0.0033425007 0.002958341 0.004011415 0.0030494623 0.003259663 0.0030297884 0.0049775094 0.0031612932 0.0031975347 0.0030494623 0.0035816946 0.0028392617 0.0030877749 0.0031975347 0.00450637 0.0032917627 0.0032275633 0.0031416193 0.0038933714 0.0033331814 0.0032917627 0.0036231133 0.004622343 0.0032876208 0.003477112 0.0031706125 0.0040321243 0.0031996057 0.0034719347 0.0033445717 0.008650325 0.004595421 0.004015557 0.0035268145 0.0043707234 0.0034408704 0.0030256466 0.0033901324 0.0045374343 0.0038364204 0.00295627 0.003195464 0.003729767 0.0027999138 0.0028496166 0.0029790504 0.005224987 0.0032109958 0.0034967859 0.0030277176 0.0036655676 0.003185109 0.0033062592 0.0032606984 0.004544683 0.0028382263 0.0030380723 0.0026994732 0.0035133534 0.003228599 0.0029811212 0.0031509385 0.005006503 0.0034160193 0.0032700177 0.0027947365 0.0037794695 0.0030121855 0.003059817 0.0031799318 0.0041398136 0.0030049372 0.0031188389 0.0030163273 0.0036417518 0.0028413327 0.002921064 0.0030318594 0.00467101 0.0031178035 0.0038405622 0.0028558292 0.003563056 0.0031499031 0.002987334 0.003116768 0.004254751 0.003142655 0.0033383588 0.0031768254 0.0036469293 0.0031913219 0.0033259331 0.0033373234 0.006721243 0.004062153 0.0037204477 0.0033393942 0.004117033 0.0032524148 0.0032959045 0.0032234215 0.004334482 0.003334217 0.003114697 0.003083633 0.0036469293 0.0029831922 0.0030774202 0.0027999138 0.0042454316 0.003281408 0.0030867395 0.0029997597 0.0037142348 0.0030256466 0.0029355607 0.0029500572 0.0039793155 0.003112626 0.002723289 0.0026404513 0.0035340628 0.0029417733 0.0035785881 0.0028827516 0.0049536936 0.0032389536 0.003402558 0.002975944 0.0038012145 0.003068101 0.003195464 0.002914851 0.004444242 0.005451755 0.003470899 0.0031312646 0.0037887888 0.0030846684 0.0032451665 0.0031902865 0.004611988 0.003314543 0.003426374 0.0030432495 0.0037390862 0.0030908813 0.003310401 0.003239989 0.0043406948 0.0030318594 0.00318718 0.002864113 0.0040124506 0.0031064134 0.0042247223 0.004514654 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099190556 0.06201483 0.06247823 0.055316254 0.060613222 0.059590008 0.054951336 0.05447809 0.06048312 0.053148016 0.052133612 0.05293238 0.056421883 0.05054696 0.05666343 0.053836375 4029.0 5.7021594 22974.0 0.01714982 0.010446592 0.009314878 0.00874902 0.013362932 0.012448856 0.011795944 0.011447724 0.012579437 0.00979368 0.008444329 0.008792548 0.013841734 0.010620702 0.011882998 0.00996779 0.016714547 0.012013581 0.008792548 0.007573779 0.00979368 0.008531383 0.0077914163 0.008357273 0.010359537 0.008400801 0.00961957 0.008836076 0.011491251 0.0090101855 0.009663098 0.009184295 0.018150954 0.010881866 0.010359537 0.009140768 0.010838339 0.008792548 0.0107077565 0.008357273 0.014189954 0.011578306 0.009706625 0.0090101855 0.011447724 0.009358405 0.011665361 0.009532515 0.014755811 0.009576042 0.00996779 0.008966658 0.012057108 0.009314878 0.009532515 0.009750152 0.013711152 0.009227823 0.010533647 0.009532515 0.011186559 0.009924262 0.010446592 0.0107077565 0.017933317 0.010968922 0.009663098 0.008226691 0.01305824 0.008270219 0.009358405 0.008313746 0.015408723 0.00927135 0.008879603 0.008705493 0.011360669 0.008009054 0.009880735 0.007834944 0.013275877 0.007965527 0.008705493 0.008792548 0.011404196 0.009488988 0.008183164 0.007834944 0.011012449 0.008792548 0.011970053 0.00857491 0.011273613 0.0090101855 0.010011317 0.008879603 6.554639 0.0 0.0 0.0 14.0 965744.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.109230645 0.004437963 0.0083635505 0.0030584896 0.0033895634 0.0027195334 0.0027352988 0.0031530822 0.0029875452 0.0032003783 0.0024515213 0.0027747124 0.0027116507 0.0025067003 0.0026643544 0.003019076 0.0033816807 0.0028220084 0.0027904776 0.0030348415 0.003184613 0.003129434 0.003019076 0.003160965 0.0031373168 0.0028771874 0.0030111934 0.0032003783 0.0027983603 0.0034999212 0.0029323664 0.0035551002 0.0048872773 0.004926691 0.0043039573 0.0035393347 0.003476273 0.0033580326 0.0033501498 0.0028771874 0.0030033106 0.0029087183 0.0025539966 0.008292606 0.003160965 0.0039965315 0.00326344 0.0032397918 0.005092228 0.0052577644 0.0051237587 0.005462715 0.0060854484 0.0042960746 0.004327605 0.004177834 0.0038704083 0.003878291 0.0038704083 0.0041935993 0.0042172475 0.0042724265 0.003799464 0.004146303 0.0053365915 0.005809554 0.0051079933 0.004682327 0.005801671 0.0043354877 0.0045956173 0.0054469495 0.0039886488 0.004406432 0.0041384203 0.0040280623 0.0041620685 0.0040832413 0.0040517105 0.003665458 0.0040201796 0.003019076 0.0029875452 0.0034053286 0.0033659153 0.0029087183 0.0035945137 0.008395081 0.0031373168 0.0029008356 0.0029323664 0.0031530822 0.008119186 0.0029087183 0.0029087183 0.0030348415 0.0029560146 0.008883809 0.008095538 0.0032870881 0.0034999212 0.009506542 0.0032240264 0.0032555573 0.0032397918 0.0033343844 0.008166483 0.0029638973 0.0037285197 0.0025855273 0.0030269588 0.003720637 0.0030033106 0.0029008356 0.0040990068 0.0036812234 0.0035393347 0.0031373168 0.0029008356 0.0029008356 0.0027352988 0.0026643544 0.0025303485 0.0024830522 0.002514583 0.008434495 0.0033580326 0.0038467601 0.00297178 0.0031373168 0.002758947 0.0030584896 0.0027904776 0.0032397918 0.0076383413 0.002758947 0.0029796627 0.002758947 0.002648589 0.0038152293 0.0023096327 0.0030033106 0.002435756 0.0026012927 0.0025303485 0.0025224658 0.0026880025 0.0025067003 0.002648589 0.0026958853 0.00259341 0.0027510643 0.0023884596 0.0026564717 0.0026564717 0.0026249408 0.0023884596 0.002490935 0.0077723474 0.002546114 0.0077171684 0.0024515213 0.002435756 0.0026249408 0.0025067003 0.0021362132 0.002246571 0.0021046824 0.0024278732 0.002672237 0.0027195334 0.0075279837 0.0026012927 0.0022702191 0.0024278732 0.0030427242 0.0030269588 0.002459404 0.002703768 0.002672237 0.0025303485 0.0026328235 0.0076619894 0.0025776445 0.0025539966 0.002514583 0.002246571 0.008048242 0.0029008356 0.0024830522 0.002995428 0.002514583 0.0029323664 0.002617058 0.0029402492 0.007543749 0.002617058 0.0024436386 0.002490935 0.0024436386 0.0026091754 0.002546114 0.0023963423 0.00259341 0.002861422 0.0022229229 0.0022781019 0.00259341 0.0028298912 0.0025067003 0.0032161437 0.0025224658 0.002648589 0.0023648115 0.0025224658 0.007181145 0.002617058 0.0028456566 0.0023726942 0.0026958853 0.0028141257 0.008284723 0.003421094 0.0028456566 0.003019076 0.0025224658 0.0028771874 0.0025067003 0.002861422 0.0027904776 0.0026958853 0.0025067003 0.0033265017 0.0027825949 0.0039019391 0.0027352988 0.0029875452 0.002727416 0.0026091754 0.0026564717 0.00259341 0.007835409 0.0027825949 0.0024436386 0.0028535393 0.0025855273 0.002672237 0.0029008356 0.0030584896 0.002435756 0.0024436386 0.002648589 0.0027195334 0.0024436386 0.0025776445 0.005092228 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-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 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-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 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1805.0 6.3977838 11548.0 0.012123311 0.018877728 0.00510911 0.0032906132 0.0047627296 0.004329754 0.0037235885 0.004502944 0.0036369935 0.0034638033 0.0027710425 0.04979217 0.0036369935 0.0048493245 0.004069969 0.0038101836 0.016279876 0.016453065 0.01740561 0.019137513 0.017232422 0.009352269 0.011950121 0.009005888 0.008746103 0.008746103 0.011170765 0.009179079 0.009265673 0.01021822 0.010304815 0.011517146 0.011257361 0.017492207 0.01021822 0.014028403 0.017059231 0.010997576 0.012296502 0.02182196 0.010651195 0.012902667 0.008659508 0.011603741 0.010824385 0.01108417 0.012469692 0.009698649 0.013075857 0.0039833738 0.0045895395 0.0069276066 0.0038967787 0.0030308277 0.005368895 0.050051957 0.0058884653 0.0044163493 0.0038101836 0.0046761343 0.047454104 0.0047627296 0.0045895395 0.0050225146 0.0039833738 0.008746103 0.0050225146 0.007447177 0.008313128 0.017059231 0.0050225146 0.0056286803 0.0059750606 0.0101316245 0.04702113 0.0048493245 0.011690336 0.0058018705 0.007880152 0.010478005 0.004502944 0.0045895395 0.012469692 0.0079667475 0.012296502 0.0050225146 0.004069969 0.0050225146 0.0038101836 0.0046761343 0.0026844474 0.0023380672 0.0035503984 0.04702113 0.004069969 0.007533772 6.136487 0.0 0.0 0.0 4.0 126860.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 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 -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 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.017370973 0.0037928645 0.0040006926 0.004173883 0.0040006926 0.004156564 0.004173883 0.004243159 0.004104607 0.004069969 0.0036023555 0.0039833738 0.0038967787 0.003966055 0.004191202 0.003966055 0.004347073 0.0037062694 0.004277797 0.0038794596 0.0038621407 0.0036023555 0.0035503984 0.0037928645 0.0035677173 0.004035331 0.004277797 0.003273294 0.0038967787 0.004312435 0.0040526497 0.0041219257 0.004018012 0.0036543123 0.0035677173 0.004018012 0.004208521 0.004035331 0.0038448216 0.0034984413 0.0038101836 0.0039487355 0.0038621407 0.0035677173 0.0037062694 0.0037235885 0.0037928645 0.0035330793 0.004018012 0.0036543123 0.0034811222 0.0037582265 0.0046068584 0.0037582265 0.0037755456 0.003914098 0.0037582265 0.0037062694 0.004035331 0.0039314167 0.0034811222 0.0038275025 0.004156564 0.004035331 0.004139245 0.004139245 0.0038275025 0.004139245 0.0037409074 0.0039833738 0.004087288 0.0036023555 0.0037062694 0.0036716314 0.0039487355 0.004208521 0.0036716314 0.00439903 0.0040526497 0.0037928645 0.004693453 0.0038101836 0.003186699 0.003914098 0.003204018 0.0039314167 0.004035331 0.003914098 0.0038275025 0.004260478 0.0038621407 0.0038967787 0.0036716314 0.0035850364 0.00334257 0.0034464842 0.0038275025 0.0036196744 0.0037062694 0.004069969 0.0037755456 0.004035331 0.0040526497 0.0038275025 0.0036196744 0.003914098 0.0036543123 0.0035850364 0.0034811222 0.0034638033 0.0041219257 0.004208521 0.0033772083 0.0038967787 0.0037062694 0.003429165 0.0038621407 0.0034811222 0.0038275025 0.004208521 0.0036023555 0.0036543123 0.0038101836 0.004156564 0.0036023555 0.0035677173 0.004087288 0.004260478 0.004173883 0.0032906132 0.0043643923 0.0035850364 0.0038794596 0.0039833738 0.004104607 0.004468306 0.004312435 0.0039487355 0.0037582265 0.0037235885 0.0037235885 0.0038621407 0.004156564 0.0037582265 0.0038967787 0.0038448216 0.003429165 0.0034984413 0.004520263 0.0037582265 0.0036369935 0.0035503984 0.003307932 0.0037409074 0.0036369935 0.0038101836 0.0038275025 0.004104607 0.0036889506 0.004208521 0.0034464842 0.004069969 0.003966055 0.004156564 0.0039833738 0.0037062694 0.0038967787 0.0036543123 0.0037409074 0.004173883 0.0037062694 0.0034118462 0.0037409074 0.00334257 0.0035850364 0.004208521 0.0037582265 0.0033252512 0.0035677173 0.0038621407 0.0036023555 0.004069969 0.0038275025 0.0037582265 0.0038448216 0.0037755456 0.003914098 0.0036196744 0.0037409074 0.0037062694 0.004381711 0.0037928645 0.0045375824 0.0038448216 0.004069969 0.0038794596 0.0037582265 0.003914098 0.0036716314 0.0037062694 0.0035330793 0.0038101836 0.0036716314 0.0035330793 0.0038275025 0.0036889506 0.00334257 0.0038794596 0.0036196744 0.003966055 0.0036889506 0.0035503984 0.004468306 0.0040006926 0.0034638033 0.0035850364 0.0036543123 0.0040006926 0.003255975 0.0038101836 0.0038621407 0.003914098 0.003966055 0.004069969 0.0037755456 0.0038621407 0.004139245 0.003966055 0.0039487355 0.004018012 0.0034464842 0.004243159 0.004104607 0.0038101836 0.004139245 0.003966055 0.0038275025 0.0037235885 0.004087288 0.0038967787 0.0040526497 0.0039314167 0.0035330793 0.004104607 0.0034638033 0.00422584 0.0038621407 0.003914098 0.004087288 0.0036716314 0.0035850364 0.0036716314 0.004329754 0.0037755456 0.004208521 0.004069969 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007768111 0.0007013494 0.00068359374 0.00068359374 0.00079012784 0.0009055398 0.00081676134 0.00059481536 0.00062144885 0.00059481536 0.0007457386 0.0006392045 0.0006036932 0.0006480824 0.00055930397 0.00082563923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06351207 0.062278055 0.060751066 0.061629973 0.06269531 0.059889916 0.06052912 0.060298294 0.06311257 0.06027166 0.06035156 0.060289416 0.060555752 0.06081321 0.06290838 0.06193182 260.0 5.75 1495.0 0.015384615 0.008695652 0.0073578595 0.009364548 0.008026755 0.008695652 0.0073578595 0.008695652 0.009364548 0.011371237 0.010702341 0.0073578595 0.012040134 0.01270903 0.0073578595 0.013377926 0.008026755 0.008695652 0.008026755 0.0073578595 0.0100334445 0.012040134 0.010702341 0.0073578595 0.0073578595 0.013377926 0.014046823 0.006688963 0.0100334445 0.009364548 0.014046823 0.008026755 0.012040134 0.011371237 0.0100334445 0.01605351 0.0100334445 0.009364548 0.01270903 0.0073578595 0.014046823 0.008695652 0.014046823 0.012040134 0.0073578595 0.010702341 0.0033444816 0.01270903 0.010702341 0.008026755 0.0033444816 0.010702341 0.0100334445 0.016722407 0.0053511704 0.008695652 0.0053511704 0.014715719 0.012040134 0.014046823 0.010702341 0.004682274 0.006688963 0.013377926 0.013377926 0.013377926 0.008695652 0.01270903 0.014715719 0.011371237 0.010702341 0.008026755 0.0073578595 0.018729096 0.009364548 0.015384615 0.008695652 0.014715719 0.011371237 0.014046823 0.012040134 0.010702341 0.010702341 0.011371237 0.013377926 0.015384615 0.0053511704 0.012040134 0.0073578595 0.008026755 0.009364548 0.016722407 0.0073578595 0.006688963 0.006688963 0.014046823 6.5175114 0.0 0.0 0.0 1.0 57740.0 942080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1439871900.0 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 573440.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -570368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9965363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -573440.0 0.0 0.0 0.0 0.0 0.0 360448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 937984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.29325145 0.02852529 0.031080863 0.010673325 0.012145619 0.005952803 0.021702642 0.007601482 0.0060865013 0.0032240658 0.029311372 0.0055227126 0.0038361792 0.0041728416 0.0067984858 0.0024017396 0.0034898517 0.009008537 0.005363241 0.0063410117 0.0023944909 0.0012395297 0.0040343106 0.0033980347 0.002711018 0.0013547036 0.0015028995 0.0020256122 0.002468589 0.001833924 0.0013877255 0.0039038337 0.03243879 0.0016688145 0.0014795426 0.0008787049 0.0011299936 0.0031338595 0.0020425257 0.0008650129 0.011364369 0.0015721649 0.0046101804 0.0030211017 0.004212307 0.00063708116 0.004632732 0.0024661727 0.0046464237 0.0016043815 0.0012644974 0.001419942 0.0011734858 0.001531089 0.0007635309 0.0015729704 0.0009898518 0.0014674613 0.0010067654 0.0008521263 0.0022511275 0.0018081508 0.0022559601 0.004250161 0.0015375322 0.0021923324 0.0015810245 0.0057450063 0.0034157538 0.0031918492 0.0016349871 0.0021246779 0.0009495812 0.0024500645 0.0006378866 0.0009085052 0.0017308312 0.0013394008 0.0018733891 0.0020513854 0.0034616624 0.0011179124 0.0020964884 0.005769169 0.003951353 0.0014859858 0.0012693299 0.0015794137 0.0006000322 0.0006330541 0.00058392395 0.0006354704 0.0005017719 0.0006781572 0.00070070877 0.0029260633 0.0014271907 0.011481958 0.0039167204 0.006088112 0.0076417527 0.025306862 0.0021923324 0.0041768686 0.004579575 0.009052835 0.0015061211 0.0027198775 0.009228415 0.0062604705 0.009664948 0.032202803 0.011647068 0.0007079575 0.018991623 0.01301788 0.01774404 0.00490174 0.002123067 0.0014014175 0.0027327642 0.004656089 0.00057103735 0.0034560245 0.00074661727 0.0022309923 0.001107442 0.0005662049 0.0023840207 0.001668009 0.0010889175 0.00083521265 0.0006982925 0.00064352446 0.0007997745 0.0009697165 0.0009221972 0.0004478093 0.0003326353 0.00043733892 0.0010736147 0.0011138853 0.00039948453 0.0010438145 0.0006378866 0.0008102448 0.003683956 0.00040270618 0.0004904961 0.00028431058 0.0003439111 0.0012379189 0.0006781572 0.00052915595 0.0018540593 0.00036968428 0.00042767398 0.00040673325 0.00039787372 0.0004478093 0.00070715207 0.001746134 0.0022003865 0.0004172036 0.000523518 0.00037532215 0.00080541236 0.00030927834 0.0004429768 0.0006878222 0.00031572164 0.00032860824 0.0003519652 0.00035357603 0.0002996134 0.00031169457 0.0003584085 0.00037371134 0.00036082475 0.0011058312 0.00047197164 0.00047841494 0.00034954897 0.00045827965 0.0005541237 0.000326192 0.00030364047 0.0031411082 0.0003584085 0.00041800903 0.000546875 0.00043894973 0.0007160116 0.00076514174 0.00035035438 0.00055090204 0.00058472937 0.00041317655 0.00043411728 0.00037371134 0.00046069588 0.0005009665 0.00041478738 0.0006773518 0.0004904961 0.00047358248 0.0003640464 0.00048324742 0.00041478738 0.00036807347 0.00053237757 0.00025692655 0.00038257087 0.00053721 0.00091414305 0.00029558633 0.00043411728 0.00030041882 0.00047197164 0.0005082152 0.0005718428 0.00060728093 0.0018057346 0.0004872745 0.0007369523 0.00069346005 0.00027706186 0.0003181379 0.0003447165 0.0002802835 0.00023920747 0.00053559925 0.0012942976 0.00031733248 0.00024081829 0.0002794781 0.0002802835 0.00055492914 0.0007337307 0.0004542526 0.00037532215 0.0002738402 0.0002537049 0.0012427513 0.00046713918 0.0005267397 0.0004945232 0.00029075387 0.00042445233 0.0010180413 0.0006910438 0.0012346972 0.00038579252 0.0007184278 0.002554768 0.0012846327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006829486 0.00018345828 1.3305765e-05 0.00015845956 1.41121745e-05 1.5724994e-05 2.1369864e-05 3.1853193e-05 2.257948e-05 0.0006910934 0.0006507729 0.00018789353 1.6531405e-05 0.00017378136 7.660895e-06 6.531921e-05 0.037194856 0.0014704886 0.00085197215 0.001404363 0.0027216338 0.0011757457 0.010928871 0.005760993 0.0005818248 0.0012680797 0.001001158 0.00031248387 0.00048182998 0.0008975343 0.00017297495 0.0006620626 0.04622826 0.0031873356 0.019788899 0.0031002432 0.0063783 0.005679142 0.037577093 0.020017112 0.00043788063 0.00039312488 0.00020805378 0.0001536211 0.0005556165 0.00030079094 0.0001459602 0.00035723962 0.14225636 0.011863098 0.019453835 0.004612262 0.0092467 0.006233146 0.03825206 0.02070619 0.0032623317 0.0018011167 0.0015620162 0.0013777515 0.0014704886 0.0018700648 0.0014539572 0.0021261 0.16473626 0.024034647 0.02642404 0.011637303 0.009314842 0.0099511 0.03658037 0.028605781 0.0069282716 0.004883619 0.004315906 0.0042171213 0.003438129 0.0038377051 0.0029429933 0.004972727 0.07015727 0.01109983 0.008393519 0.0066113523 0.005126348 0.0042590545 0.010991772 0.009535395 0.0033820835 0.0038014166 0.002355927 0.0036207808 0.0018990955 0.0017027347 0.0027099408 0.0038167385 0.0039957617 0.000550778 0.001105588 0.0012317912 0.000515296 0.00063424144 0.0029143656 0.0018745001 0.00013346085 0.0001693461 8.709228e-05 0.00017297495 0.00018950635 0.000110074965 0.00014797623 0.00020523134 0.000468121 0.00010644612 0.0001854743 0.00010967176 6.612562e-05 6.894805e-05 0.0002818403 0.00014676662 0.00012418714 9.273715e-06 6.45128e-06 1.128974e-05 1.048333e-05 5.64487e-06 6.45128e-06 4.435255e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8458.0 27.617403 233588.0 0.12641917 0.0011087898 0.00083480316 0.00022261418 8.133979e-05 5.1372503e-05 4.281042e-06 5.9934584e-05 0.00012415022 1.7124168e-05 7.277771e-05 1.2843126e-05 0.006832543 0.00051372504 0.017458089 0.010111821 0.0102873435 0.004186859 0.0015625802 0.0037330685 0.0030909122 0.003994212 0.0010831036 0.0027056185 0.0009932017 0.0015839855 0.00246588 1.7124168e-05 0.008489306 0.00583506 0.008502149 2.9967292e-05 8.562084e-06 0.0044308784 0.0041269246 0.015146326 0.0070380326 0.0044651264 0.002440194 0.0076373788 0.0015026457 0.0044651264 0.00024830044 0.0022261417 0.003373461 0.002358854 0.0046663354 0.0045635905 0.011083617 0.00017124167 0.005839341 0.019816943 0.008801822 0.002461599 0.002864017 0.004923198 0.00014983646 4.709146e-05 0.00014983646 0.0 0.00013699335 4.281042e-06 1.2843126e-05 0.012076819 2.1405209e-05 0.042455092 0.014786718 0.0214523 0.027295923 0.104658626 0.0072478037 0.013416785 0.012500642 0.030438207 0.00025686252 0.004803329 0.032403205 0.024350567 0.032976866 0.047969073 0.018168742 0.00096751546 0.04792198 0.03459938 0.0702519 0.01885371 0.007573163 0.0028383308 0.005732315 0.015647208 0.00068924774 0.0 0.0 0.0 0.0 0.0 5.086827 0.0 386.0 0.0 1.0 1241600.0 1269760.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541084000.0 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 -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 80.0 0.0 4.0 0.0 4.0 0.0 1238016.0 512.0 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 -1238016.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.629625 0.0 3.4052052 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 -1237524.0 0.0 2228.0 0.0 0.0 0.0 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 1245372.0 2228.0 1253376.0 0.0 0.0 0.0 0.0 12.0 1261568.0 28.0 1245060.0 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: 0.32621318 0.0044078077 0.0039475546 0.0034400963 0.00390625 0.0008673999 0.0010562217 0.0021478473 0.0051099886 0.00079069106 0.001197838 0.00067857816 0.0035876133 0.0012745468 0.0010267183 0.001622687 0.0037646338 0.0011329305 0.0012568448 0.000460253 0.0024546827 0.010491408 0.0010739237 0.00041894827 0.0012332421 0.00024192788 0.0014692693 0.0003481401 0.00121554 0.00056646526 0.0006372734 0.00023602719 0.0130228 0.0001770204 0.0004307496 0.00030093465 0.0014633685 0.0019472244 0.00053696183 0.00071398227 0.003239473 0.0007021809 0.00042484896 0.00028323263 0.0029149358 0.0004366503 0.0019826284 0.00031273603 0.0030742541 0.001841012 0.0024546827 0.0031568636 0.0029621413 0.002560895 0.002118344 0.0018528134 0.002614001 0.0017997073 0.0020947412 0.001988529 0.0022186555 0.003186367 0.0018764162 0.0017347998 0.011883969 0.0076590823 0.01588463 0.00399476 0.004938869 0.013158516 0.0014810706 0.002413378 0.0015931835 0.0035286064 0.00057236594 0.00034223942 0.0029208364 0.01163024 0.0030742541 0.0037528323 0.018239 0.00798952 0.01059172 0.0045612254 0.0038354418 0.0068683913 0.0034755003 0.0015872829 0.0010090162 0.00057236594 0.0003540408 0.00062547205 0.0010916258 0.0013512557 0.00060777 0.006561556 0.0014810706 0.005599745 0.0047441465 0.006042296 0.008272753 0.007110319 0.0018292107 0.00074348564 0.0075764726 0.0029031343 0.004455013 0.0004661537 0.0035050039 0.0015518788 0.002796922 0.0033987917 0.0031273603 0.0004661537 0.0050391806 0.002796922 0.0051925983 0.0027674187 0.0017879059 0.0017643032 0.001528276 0.001510574 0.0007493863 0.00018882175 0.001492872 0.0027025114 0.00033043808 0.0003481401 0.0039475546 0.000590068 0.00073758495 0.0040301643 0.001805608 0.008862821 0.0003776435 0.00050745846 0.0016698923 0.01363057 0.0003540408 0.015406675 0.0010267183 0.027939718 0.0005782666 0.00050745846 0.005163095 0.00057236594 0.0005546639 0.0006136707 0.0013866597 0.0039475546 0.00017111971 0.0005015578 0.0009264067 0.002041635 0.00011211292 0.00021832515 0.0009618108 0.00080249243 0.0001770204 0.0003245374 0.0017052965 0.001085725 0.00023602719 0.0002301265 0.0014751699 0.00020062311 7.6708835e-05 0.00016521904 0.001640389 0.00017111971 0.00027143126 0.00024782855 0.001398461 0.00023602719 9.4410876e-05 0.00015341767 0.0016816937 0.00015341767 0.00019472244 0.00024192788 0.0017288992 0.001327653 0.00011211292 0.0003245374 0.0018764162 0.0007257836 0.00040124622 0.0003245374 0.0014338652 0.0013571563 0.00018882175 0.0002301265 0.009429286 0.00028323263 0.0006490748 0.0039475546 0.004148178 0.00019472244 0.006048197 0.003687925 0.0016049849 0.00037174282 0.00017111971 0.000100311554 0.0026081004 0.00012981496 0.00015341767 0.00027143126 0.0038059384 0.00031273603 0.00033043808 0.0018882175 0.0023897754 0.00025962992 0.0035876133 0.0024959876 0.0020357345 0.00020062311 0.0005605646 0.0002891333 0.0031214596 0.00015341767 0.00051335915 0.00031273603 0.002802823 0.00030683534 0.00012981496 0.00016521904 0.0027261141 0.0005546639 0.0008792013 0.00027733194 0.0029562407 0.00057236594 0.000118013595 0.0008260952 0.004696941 0.00022422583 0.0002065238 0.00015341767 0.001841012 0.000100311554 0.00021242448 0.00027733194 0.0017643032 0.0002891333 0.000460253 0.0006490748 0.0025313916 0.00044255098 0.000118013595 0.0008733006 0.00355811 0.0038059384 0.0071398225 0.07302681 0.048780486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013936857 0.00035430165 0.00010420637 3.2750573e-05 0.00059546495 0.000229254 0.00036323362 0.00023223132 0.0004108708 3.870522e-05 3.5727895e-05 2.3818597e-05 0.0009319026 1.7863948e-05 8.6342414e-05 0.0008991521 0.025881883 0.00066692074 0.0013010909 0.000339415 0.0053055924 0.0023729277 0.00045255336 0.00030964176 0.00081876427 4.1682546e-05 2.0841273e-05 5.9546495e-05 0.0030696217 5.9546495e-05 0.00011611566 0.0018667825 0.059936523 0.0009646532 0.0066275247 0.002283608 0.013689739 0.0077737947 0.0032512385 0.0018757145 0.0008396056 0.00023520864 0.00024414062 0.0002649819 0.0038675447 0.000229254 0.0001697075 0.0014052973 0.0771931 0.0018697599 0.00794648 0.001595846 0.013409871 0.007675543 0.012293373 0.006329792 0.0013814786 0.00047934928 0.0003364377 0.00029177783 0.00037812022 0.00050316786 0.0004436214 0.002018626 0.019942122 0.0007532631 0.0015809594 0.0005448504 0.0035191977 0.0016970751 0.0037633383 0.0026587509 0.00045553068 0.00018757145 0.0002054354 0.00035430165 0.005115044 0.00024711795 0.000229254 0.0014291159 0.021895247 0.0011105421 0.0014469798 0.000687762 0.00322742 0.0021585603 0.005210318 0.0036799733 0.0019501477 0.002346132 0.00045255336 0.00030666444 0.0009795398 0.0005567597 0.0004912586 0.0022806306 0.023112971 0.0027391387 0.003822885 0.027462844 0.006764482 0.0038913633 0.008690811 0.005424686 0.0024354516 0.0019233518 0.0021228325 0.0019739664 0.004299257 0.0025634766 0.0020751953 0.004355826 0.011546065 0.002584318 0.0010241996 0.0008693788 0.00543064 0.007639815 0.005272842 0.0028344132 0.015559499 0.0027242522 0.0010748142 0.0019263291 0.002283608 0.0037454744 0.0018667825 0.025080983 0.020948457 0.0063417014 0.0017447122 0.0015452316 0.014818145 0.015407655 0.00921482 0.0035817216 0.028787753 0.004769674 0.0020216035 0.0038854086 0.005409799 0.006237495 0.00462974 0.03529023 0.032756526 0.009822194 0.0034804926 0.0024979755 0.022791421 0.021085413 0.014422161 0.0050971797 0.030068003 0.005895103 0.0029564835 0.0033137624 0.007764863 0.008291849 0.007639815 0.02333627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 881.0 11.727582 10332.0 0.013743709 0.0011614402 0.002129307 0.0016453736 0.0034843206 0.00077429344 0.0020325202 0.0013550136 0.0030971738 0.002419667 0.0012582268 0.0015485869 0.0030971738 0.0014518002 0.005516841 0.0009678668 0.015098723 0.013162989 0.01751839 0.016453736 0.018292682 0.015098723 0.015195509 0.014518002 0.015098723 0.013743709 0.014518002 0.010743322 0.012291908 0.012001549 0.013453349 0.010743322 0.0056136274 0.007936508 0.007355788 0.014808362 0.013162989 0.007839722 0.006968641 0.0062911343 0.004548974 0.008420441 0.0009678668 0.0030003872 0.010743322 0.006387921 0.0047425474 0.008420441 0.0074525746 0.0014518002 0.005807201 0.016260162 0.0071622143 0.0029036005 0.012485482 0.0026132404 0.003968254 0.0012582268 0.002129307 0.0012582268 0.0041618273 0.0009678668 0.0012582268 0.04694154 0.0031939605 0.059620596 0.030971738 0.015389082 0.019066976 0.03939218 0.0041618273 0.005226481 0.009678668 0.020615563 0.005226481 0.0030971738 0.023132017 0.014227643 0.01955091 0.026616337 0.015195509 0.0022260938 0.04200542 0.01897019 0.03726287 0.009678668 0.02303523 0.01751839 0.008807588 0.0062911343 0.0017421603 0.0011614402 0.0044521876 0.0011614402 0.0015485869 0.00087108015 5.963331 5.0 0.0 0.0 1.0 169472.0 184320.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 1145634700.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 4.0 20.0 4.0 0.0 4.0 0.0 142848.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -142848.0 -3584.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1253304 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5421677 -5.554792 3.0268154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18918.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142468.0 -3360.0 2260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 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 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 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 155648.0 2260.0 159744.0 0.0 0.0 0.0 0.0 8952.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 576.0 648.0 156336.0 0.0 0.0 0.0 0.0