Input: 0.510003 0.004592747 0.0011593341 0.0010998811 0.004949465 0.00050535076 0.00047562426 0.0006391201 0.00087693223 0.0004904875 0.002824019 0.00014863258 0.0007134364 0.0025267538 0.00037158144 0.0008323424 0.0014565993 0.00054994057 0.0007431629 0.000118906064 0.0004904875 0.00087693223 0.00031212842 0.0001040428 0.0015309156 0.00016349583 7.431629e-05 0.00034185493 0.0028537456 0.00022294887 0.0001040428 0.00047562426 0.04967301 0.00023781213 0.0008472057 7.431629e-05 0.0006093936 0.00025267538 0.00050535076 0.00022294887 0.001203924 0.0012931034 0.00026753865 0.00016349583 0.0034780023 0.00050535076 0.003745541 0.0001783591 0.0013376932 0.00072829967 0.00087693223 0.00040130797 0.00026753865 0.0004161712 0.0002824019 0.00034185493 0.00043103448 0.00026753865 0.00031212842 0.0002080856 0.0012485137 0.0001783591 0.00019322235 0.00029726516 0.0011741974 0.0030766944 0.00069857313 0.0012931034 0.0061385254 0.0033293697 0.0013525565 0.0007877527 0.001203924 0.0052318666 0.00057966704 0.0001040428 0.0018876338 0.0011296076 0.0024821642 0.002705113 0.002125446 0.00022294887 0.002541617 0.0035374553 0.0032996433 0.0012187872 0.0006391201 0.00075802614 0.0049197385 0.0010998811 7.431629e-05 8.917955e-05 0.0025564805 0.00029726516 0.0001783591 0.0011147443 0.00087693223 0.008159929 0.0013525565 0.0038793103 0.0037901308 0.015041617 0.0031510107 0.0017241379 0.00451843 0.007862664 0.0002824019 0.00057966704 0.0056926277 0.0031064209 0.009482759 0.01044887 0.0034482758 0.0002824019 0.008828775 0.0069560045 0.014640309 0.004221165 0.0011296076 0.002259215 0.001560642 0.0029280619 0.0002080856 0.00032699166 0.0021848988 0.0010255649 0.00013376932 0.00069857313 0.0033145065 0.00044589775 0.00093638524 0.00086206896 0.0007877527 0.0011296076 0.000980975 0.0002824019 0.0015903686 0.0008323424 0.00047562426 0.0005648038 0.0024524375 0.0007134364 0.00087693223 0.0004161712 0.0012633769 0.0006539833 0.00047562426 0.0008472057 0.0023186682 0.0014268728 0.000460761 0.0005945303 0.0015755054 0.0005648038 0.0007728894 0.00054994057 0.0010552913 0.00086206896 0.0006539833 0.000980975 0.00086206896 0.0015160523 0.00052021403 0.0006539833 0.0007134364 0.0005945303 0.0009958383 0.00022294887 0.00087693223 0.0015457788 0.0012931034 0.00072829967 0.0058412603 0.003165874 0.0011147443 0.0006093936 0.0022740785 0.0005350773 0.005127824 0.0018579073 0.0038941735 0.0015160523 0.0011593341 0.0015903686 0.0033145065 0.00328478 0.0012931034 0.0010255649 0.0035969084 0.0019470868 0.000460761 0.0005648038 0.004949465 0.0036563615 0.0026902496 0.00047562426 0.0019470868 0.006406064 0.0039833533 0.008427467 0.0055588586 0.0022146255 0.00037158144 0.00087693223 0.0011593341 0.0012931034 0.0009661118 0.0003567182 0.0025713437 0.0008917955 0.0015457788 0.00093638524 0.0007728894 0.0068668253 0.0007728894 0.00043103448 0.00034185493 0.00057966704 0.00025267538 0.0005350773 0.0014120095 0.0041617122 0.00043103448 0.00019322235 0.0012485137 0.00026753865 0.00022294887 0.00019322235 0.0028686088 0.0004904875 0.00052021403 0.0004161712 0.0015457788 0.0006539833 0.00040130797 0.00044589775 0.0013971463 0.00054994057 0.0003864447 0.00023781213 0.00087693223 0.0003567182 0.00014863258 0.00031212842 0.0010107015 0.00090665877 0.00031212842 0.00029726516 0.0024970274 0.00026753865 0.00044589775 0.00029726516 0.0011296076 0.00022294887 0.00052021403 0.0218044 0.0625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014930725 3.8146973e-05 2.2888184e-05 7.6293945e-06 7.6293945e-06 0.0 1.5258789e-05 6.1035156e-05 1.5258789e-05 7.6293945e-06 0.0 0.0 1.5258789e-05 0.0 7.6293945e-06 0.00049591064 0.07241821 0.0004196167 0.000289917 9.918213e-05 0.00038909912 0.00044250488 0.0009994507 0.0005645752 0.0005187988 0.0004272461 0.0002746582 0.0002746582 0.00019073486 0.00022888184 0.00011444092 0.00047302246 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01134491 0.0 1.5258789e-05 2.2888184e-05 7.6293945e-06 0.0 7.6293945e-06 2.2888184e-05 3.8146973e-05 1.5258789e-05 0.0004119873 3.0517578e-05 0.00017547607 0.0013504028 3.0517578e-05 0.0021514893 0.023880005 0.00022125244 0.00030517578 0.00033569336 0.0002746582 0.00045013428 0.00036621094 0.00038146973 0.0007324219 0.0007019043 0.00048065186 0.0004272461 0.00030517578 0.00035858154 0.000289917 0.001739502 0.10646057 0.0004272461 0.017433167 0.000541687 0.0038528442 0.0026245117 0.044654846 0.024841309 0.00051116943 6.866455e-05 0.00023651123 0.00023651123 0.00049591064 0.00017547607 0.00037384033 0.00019073486 0.09449768 0.0007095337 0.011856079 0.0010147095 0.016311646 0.009422302 0.019172668 0.009857178 0.00093078613 0.000831604 0.0006713867 0.00060272217 0.0012207031 0.0006942749 0.0007324219 0.0033493042 0.03261566 0.00061798096 0.0023880005 0.0005569458 0.0056915283 0.0011749268 0.0036468506 0.0019073486 0.001045227 0.00016784668 0.0007019043 0.0005264282 0.0012817383 0.0031738281 0.0005493164 0.006454468 0.015159607 0.00017547607 0.0010223389 0.00016021729 0.00032043457 0.00077056885 0.0017089844 0.0012664795 0.001373291 0.0011749268 0.001121521 0.0013809204 0.0012359619 0.0005874634 0.0005950928 0.0031967163 0.02658081 0.0011138916 0.002380371 0.0007019043 0.0006713867 0.00060272217 0.0006790161 0.001449585 0.0025634766 0.002746582 0.0035324097 0.0033493042 0.0036392212 0.002243042 0.0021820068 0.00806427 0.025367737 0.0011367798 0.0018463135 0.0011520386 0.0012207031 0.001335144 0.0023956299 0.0030288696 0.0034866333 0.0038223267 0.0034637451 0.0034255981 0.0040130615 0.002418518 0.0019989014 0.0023880005 0.045684814 0.005630493 0.025726318 0.0032653809 0.0045318604 0.006866455 0.005592346 0.0074386597 0.0056991577 0.0054244995 0.0107040405 0.023223877 0.032844543 0.01171875 0.0051498413 0.0036239624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62.0 8.82258 547.0 0.018281536 0.0018281536 0.0 0.0018281536 0.0018281536 0.009140768 0.0018281536 0.0018281536 0.0018281536 0.0036563072 0.0018281536 0.0 0.0 0.005484461 0.010968922 0.0018281536 0.0036563072 0.0036563072 0.0036563072 0.005484461 0.0018281536 0.0036563072 0.0018281536 0.0 0.0018281536 0.0 0.0018281536 0.0018281536 0.0018281536 0.0073126145 0.005484461 0.0 0.029250458 0.005484461 0.0018281536 0.0073126145 0.38025594 0.005484461 0.0073126145 0.0018281536 0.009140768 0.009140768 0.0036563072 0.0018281536 0.0036563072 0.0 0.0018281536 0.009140768 0.0018281536 0.0018281536 0.0073126145 0.012797075 0.0018281536 0.0018281536 0.0018281536 0.0018281536 0.0018281536 0.023765996 0.0 0.0018281536 0.020109689 0.0018281536 0.009140768 0.0073126145 0.0018281536 0.014625229 0.0073126145 0.016453382 0.0073126145 0.023765996 0.0036563072 0.009140768 0.005484461 0.012797075 0.0018281536 0.0018281536 0.010968922 0.005484461 0.014625229 0.010968922 0.005484461 0.0018281536 0.021937843 0.020109689 0.014625229 0.095063984 0.0018281536 0.0018281536 0.0 0.0 0.0 0.0 0.0 0.009140768 0.0 0.0 4.3635135 1.0 0.0 0.0 1.0 67280.0 77824.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1170981600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 7.0 10.0 4.0 0.0 4.0 0.0 0.0 4096.0 4096.0 3.0 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 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 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7271131 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7686415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 701.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65028.0 8192.0 0.0 0.0 0.0 0.0 8.0 73728.0 28.0 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


Input: 0.18569604 0.0042511933 0.0036219049 0.0035193542 0.004885143 0.0034401105 0.0031324583 0.0028900655 0.005038969 0.0030345689 0.003095167 0.0029972778 0.0040274463 0.0035566452 0.0028993883 0.00370581 0.00370581 0.004992355 0.0030159233 0.002610382 0.0033841736 0.003659196 0.0028387902 0.0029506637 0.003011262 0.002740901 0.0029972778 0.0029087113 0.0036219049 0.0030532144 0.0027875148 0.0026336887 0.003248993 0.002857436 0.0028108219 0.0029366796 0.007323053 0.003118474 0.0027502237 0.002964648 0.0029506637 0.0025824134 0.00267098 0.0027269167 0.0029926163 0.0031138125 0.0028108219 0.0027502237 0.0032956072 0.0028527745 0.002941341 0.003165088 0.0032443318 0.003985494 0.002857436 0.0026989484 0.0029320181 0.0030998285 0.0030299076 0.0031604266 0.002918034 0.0026569958 0.0029460024 0.002647673 0.008488403 0.003001939 0.0032256863 0.0028807428 0.0045821522 0.004610121 0.0032256863 0.0025963977 0.003188395 0.0029273569 0.0025684293 0.00267098 0.003211702 0.0035939366 0.0025917364 0.0030532144 0.004880482 0.0035007086 0.00330493 0.0035706295 0.00330493 0.0035007086 0.0037011486 0.003565968 0.0033748508 0.002987955 0.0028108219 0.003174411 0.0031977177 0.0032023792 0.0031697494 0.0032769616 0.0028061606 0.0034028192 0.0030299076 0.0030299076 0.0032443318 0.0042745 0.0029972778 0.0025917364 0.004097367 0.0033142527 0.003612582 0.0028434517 0.0041206744 0.0030205848 0.0033934964 0.0032862844 0.0030066005 0.002610382 0.003174411 0.0030532144 0.0052067796 0.004847852 0.002848113 0.003001939 0.002894727 0.002857436 0.0025637678 0.002517154 0.0033608666 0.0031277968 0.0027875148 0.0028061606 0.0029926163 0.002894727 0.0027036099 0.004624105 0.0031557651 0.0037617467 0.0027595465 0.0028294674 0.0027269167 0.0044143423 0.002577752 0.007672658 0.002461217 0.0036079206 0.0027315782 0.002624366 0.0027548852 0.0029739707 0.0027082711 0.0028108219 0.0027968376 0.0029553252 0.0029926163 0.0028248061 0.0026197047 0.002647673 0.0027269167 0.002778192 0.0028900655 0.002540461 0.0027735308 0.0026896256 0.0026569958 0.0035939366 0.0028294674 0.0032629773 0.0036079206 0.0032256863 0.0028248061 0.002918034 0.003635889 0.0036918258 0.0026756413 0.0031091513 0.003025246 0.0033095912 0.0029693095 0.0028667587 0.0030858442 0.0029553252 0.0029320181 0.0027688693 0.0029506637 0.002764208 0.0031557651 0.0028248061 0.0031697494 0.002801499 0.0027595465 0.0027828536 0.0030205848 0.002447233 0.002493847 0.0029599867 0.0038176836 0.0033002684 0.0033608666 0.0036405504 0.0030066005 0.002740901 0.0031324583 0.0035100314 0.0028248061 0.0031511039 0.0028061606 0.002964648 0.004619444 0.0026569958 0.0027968376 0.002493847 0.0026057204 0.0030625374 0.002694287 0.0028527745 0.0026057204 0.002778192 0.0034214647 0.0027968376 0.0037477624 0.0035053699 0.0028108219 0.0032163633 0.0034634173 0.0033375598 0.0029087113 0.0028993883 0.003365528 0.0027222554 0.0027082711 0.0028061606 0.0032536546 0.0025963977 0.0026803028 0.0027315782 0.005561046 0.0028201446 0.0024845242 0.0033002684 0.003174411 0.002694287 0.0026336887 0.0028667587 0.0034214647 0.0030765214 0.0026756413 0.0027222554 0.002694287 0.0027688693 0.003057876 0.0030205848 0.00330493 0.0028620972 0.0024658786 0.0028854043 0.0031604266 0.0026803028 0.0028294674 0.008931235 0.13942307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036785419 8.451022e-05 7.7467696e-05 0.00010094276 6.3382664e-05 7.7467696e-05 6.807767e-05 9.624775e-05 6.1035156e-05 6.3382664e-05 6.573017e-05 7.277269e-05 6.3382664e-05 7.5120195e-05 9.859525e-05 6.1035156e-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 0.0074533317 0.0012371356 0.00022536058 0.00015258789 0.0008192796 0.00035916842 0.0016667292 0.0007418119 0.0001971905 8.451022e-05 0.0006173941 6.573017e-05 0.00011033278 0.00038264348 0.00022301308 8.685772e-05 0.005211463 0.00020188552 0.000194843 0.0002723107 0.0016761193 0.001396766 0.0025024414 0.0015493539 0.0001971905 0.00015493539 0.00021831806 0.00013380784 0.00018075797 0.00016667292 0.00018075797 0.00018545297 0.0017089844 4.225511e-05 7.5120195e-05 0.00014319786 0.00044837364 0.00047654373 0.000769982 0.00038733848 3.7560098e-05 4.695012e-05 0.00045306867 3.99076e-05 4.695012e-05 5.3992637e-05 2.347506e-05 5.3992637e-05 0.003288856 0.00044602616 0.0003169133 0.00018075797 0.0008685772 0.00045306867 0.0005469689 0.00044367864 0.0005915715 5.3992637e-05 0.00055401144 6.807767e-05 0.00024179312 0.00057748647 0.00048123873 0.0005023663 0.014930138 0.0032653809 0.0044391337 0.0015047514 0.004162128 0.0030423678 0.0016385592 0.0018662673 0.005307711 0.00040377103 0.0023921086 0.0008638822 0.0022113507 0.0015282264 0.0024836613 0.0028451772 0.015974779 0.0029437726 0.002690242 0.0035494291 0.006420429 0.005561242 0.0020986705 0.0033334584 0.0066833496 0.0012347882 0.003340501 0.0014906663 0.004709097 0.003112793 0.00293673 0.006035438 0.04458618 0.04293354 0.04279034 0.042792685 0.042250413 0.04341008 0.043950006 0.042482816 0.041694053 0.04269644 0.042863112 0.043388955 0.043529805 0.04309082 0.042210504 0.042830247 1009.0 7.2408323 7306.0 0.007664933 0.006159321 0.006159321 0.0058855736 0.009033671 0.006159321 0.0056118257 0.006433069 0.0050643305 0.0050643305 0.004927457 0.0052012047 0.006980564 0.0041062143 0.007664933 0.0065699425 0.0078018066 0.0056118257 0.009033671 0.01081303 0.00971804 0.0057487 0.005474952 0.0056118257 0.006159321 0.008486176 0.0046537095 0.0078018066 0.004927457 0.0053380784 0.007528059 0.006706816 0.007528059 0.011634273 0.020804819 0.01587736 0.018477963 0.014645497 0.010676157 0.007528059 0.0072543113 0.009581166 0.0058855736 0.006980564 0.007528059 0.010265535 0.0046537095 0.018477963 0.02518478 0.010949904 0.013961128 0.013687381 0.0120448945 0.009033671 0.014098002 0.013139885 0.007528059 0.008349302 0.0078018066 0.010128661 0.0065699425 0.00793868 0.0078018066 0.019025458 0.0057487 0.023131672 0.008212429 0.015056118 0.016014235 0.042430878 0.008486176 0.0072543113 0.008759923 0.02272105 0.0072543113 0.010539283 0.018614838 0.013550506 0.02231043 0.018341089 0.011086778 0.006159321 0.021899808 0.011634273 0.03928278 0.010676157 0.006159321 0.0078018066 0.009854914 0.013550506 0.0060224473 0.0060224473 0.0056118257 0.006433069 0.0060224473 0.008212429 6.361246 0.0 0.0 0.0 7.0 214528.0 233472.0 0.0 0.0 69.0 0.0 0.0 0.0 0.0 0.0 996484900.0 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 2.0 50.0 4.0 0.0 4.0 0.0 27136.0 1024.0 4096.0 6.0 0.0 0.0 4.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30464.0 0.0 0.0 -150016.0 -9728.0 0.0 0.0 0.0 0.0 0.0 -17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.797823 4.7422256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.437287 0.0 0.0 -7.1857867 -5.6840897 0.0 0.0 0.0 0.0 0.0 -6.5264482 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2047.0 4860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 -151552.0 -9679.0 0.0 0.0 0.0 0.0 0.0 -17076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 41464.0 924.0 257.0 0.0 0.0 16777216.0 16777216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 257.0 0.0 0.0 0.0 0.0


Input: 0.26644963 0.015190613 0.006492419 0.007132891 0.011951048 0.0038454894 0.0030827697 0.0028648498 0.010614295 0.0019161009 0.0025140517 0.0018151136 0.007170097 0.002476846 0.0016423721 0.006651873 0.006832587 0.001504179 0.0013261224 0.0011799567 0.004626812 0.004236151 0.0012915742 0.0010205031 0.0031997024 0.0012543683 0.00094343384 0.0011799567 0.002912686 0.0011427508 0.00089559774 0.0014191371 0.007988625 0.0010444211 0.00086104946 0.0010709967 0.008676934 0.0011374357 0.0007148837 0.0006856505 0.0020914997 0.00074411684 0.0007547471 0.0022004598 0.0015015214 0.0009673519 0.0015998512 0.0007706924 0.0026256694 0.00086370704 0.0009620368 0.0042308355 0.0015280971 0.0016397146 0.0008451041 0.0008530768 0.0018629496 0.0026283269 0.0009540641 0.0039943126 0.00199317 0.0014776035 0.0009195158 0.0014191371 0.008634413 0.0054054772 0.009949905 0.005745645 0.00454177 0.010133277 0.0054533132 0.0026602177 0.003135921 0.0018443468 0.000930146 0.0011932445 0.003008358 0.0054214224 0.0024555856 0.0017832228 0.00961771 0.0026017514 0.0017433594 0.005200845 0.0023120772 0.0030934 0.006481789 0.0047517177 0.0019612794 0.0041962876 0.0007919529 0.0021473086 0.0017008384 0.002543285 0.0041590817 0.0029153435 0.0015865634 0.0029764674 0.0008583919 0.0019772246 0.0029764674 0.006340938 0.0030110155 0.0013394103 0.0039464766 0.0032369082 0.006728942 0.0010151879 0.0031146605 0.0018018257 0.0031146605 0.0033697863 0.0025964363 0.0010098729 0.004036834 0.0030615092 0.013303746 0.011924472 0.0020941573 0.0020835272 0.0020224033 0.0013766162 0.000996585 0.00090888556 0.0026575602 0.0026389572 0.0019958275 0.0012782865 0.0062027453 0.002011773 0.0007574046 0.011377015 0.0032448808 0.007183385 0.0015785907 0.0008982553 0.0040634093 0.010893339 0.002894083 0.030011825 0.0011241479 0.00874603 0.0015759332 0.0011533811 0.003954449 0.0006032661 0.0006324993 0.0007600622 0.0008982553 0.00081587094 0.0007148837 0.00052885443 0.00078398024 0.001105545 0.00062186905 0.00045710034 0.0008743373 0.00066970516 0.0010284757 0.00070956856 0.0016078239 0.0014962064 0.0005580876 0.0010949147 0.0010577089 0.001063024 0.00062452664 0.00074411684 0.0015201244 0.0009221734 0.0007600622 0.0008530768 0.00082915876 0.00070425344 0.0007148837 0.0009221734 0.0020091154 0.0011161752 0.0012490533 0.0010151879 0.0014536853 0.0007866378 0.0014935487 0.0013925615 0.0023599134 0.0010523938 0.0008371314 0.0009248309 0.0010550513 0.00061655394 0.0012437381 0.0012410806 0.007895611 0.0035956788 0.0024609007 0.0056765485 0.0036302272 0.0007255139 0.002723999 0.004023546 0.002181857 0.0026522449 0.0010284757 0.00090091286 0.0027452596 0.0006723627 0.0016290843 0.0010842845 0.0016902082 0.0011772991 0.001613139 0.0013128347 0.0011427508 0.00062984176 0.0013580133 0.0013606708 0.0022217203 0.0008265012 0.0008769948 0.0014350824 0.0013261224 0.00073614414 0.0006856505 0.0007255139 0.0023944615 0.0010842845 0.00085573434 0.0007653773 0.0016476873 0.0006378144 0.0008902826 0.0008052407 0.012958263 0.003207675 0.0008796524 0.0049324315 0.003587706 0.0007520895 0.0007201988 0.0006750203 0.004384974 0.0018895252 0.0008769948 0.0011374357 0.00198254 0.00066970516 0.0027080537 0.0022403232 0.0047118543 0.0015520151 0.0009700094 0.0014749458 0.004602894 0.0015626453 0.0034840612 0.043740783 0.043630466 8.00461e-06 5.336407e-06 4.002305e-06 1.2006916e-05 5.336407e-06 6.670509e-06 6.670509e-06 0.0 2.6682035e-06 0.0 4.002305e-06 2.6682035e-06 4.002305e-06 0.0 2.4013832e-05 0.002634851 1.600922e-05 9.3387125e-06 2.6682035e-06 8.00461e-06 2.6682035e-06 1.8677425e-05 1.467512e-05 2.6682035e-06 9.3387125e-06 2.6682035e-06 8.00461e-06 1.3341017e-06 0.0 0.0 1.3341017e-06 0.0050442386 4.8027665e-05 1.600922e-05 1.467512e-05 0.00011339865 4.4025357e-05 5.336407e-05 3.068434e-05 3.3352546e-05 1.600922e-05 6.670509e-06 8.00461e-06 5.336407e-06 8.00461e-06 6.670509e-06 1.600922e-05 0.019347144 0.0002948365 0.00028282957 8.8050714e-05 0.00016009221 9.4721225e-05 0.00034820056 0.00021345628 0.0003068434 4.9361766e-05 7.070739e-05 0.00011740096 0.00011073045 9.0718924e-05 9.605533e-05 0.00018677425 0.01360517 0.00017743553 0.00021345628 6.537099e-05 0.00023880422 0.00013874659 0.0006723873 0.0004469241 0.00024947705 5.202997e-05 9.338713e-05 4.9361766e-05 0.000109396344 2.935024e-05 7.20415e-05 0.00018010374 0.020251665 0.0005056246 0.0004656015 0.00013207608 0.00047627435 0.00019611296 0.0005283043 0.00027749318 0.000812468 0.00010405994 0.000108062246 9.205302e-05 0.0001520876 0.00018410604 8.0046106e-05 0.0029563694 0.011093056 0.00013207608 0.00034953468 0.00020144937 0.00043224898 0.00017610143 0.00070707395 0.0004549287 0.0005923412 8.271431e-05 4.8027665e-05 3.735485e-05 0.0001454171 0.00016943093 0.00010672814 0.001664959 0.02940894 0.00062836194 0.0017623485 0.0005523181 0.0017623485 0.00049228355 0.004067676 0.0020558508 0.0005403112 0.00042291026 0.0005483158 0.00017209913 0.00017610143 0.00026415216 0.00033619365 0.0032578765 0.022674393 0.00042424435 0.0016369428 0.00041757384 0.0014981963 0.00079245644 0.0036007408 0.002186593 0.0008858436 0.00042157617 0.0003815531 0.00014141478 0.00028950008 0.00018944245 0.00023613601 0.0024747588 0.018495986 0.0008898459 0.0015995881 0.0007377583 0.005277707 0.0019824752 0.007133442 0.0038488836 0.0008458205 0.00018944245 0.00026682037 0.00031618212 0.00051229505 0.00026948855 0.00025881574 0.0010912953 0.013897338 0.0005029564 0.0013434405 0.0007831177 0.004327826 0.0017276618 0.0042784642 0.0028069501 0.0017423369 0.00018677425 0.0003735485 0.0006883965 0.00046426742 0.0003628757 0.00025214523 0.0017810259 0.0058126813 0.0001507535 0.0005723297 0.00047360614 0.0018770812 0.0005069587 0.002530791 0.0014821871 0.0002908342 0.00016676272 0.00064837345 0.00017743553 0.00036954618 0.00011740096 0.00032952314 0.0008871777 0.010239231 0.0016356087 0.0009925717 0.001048604 0.0023880422 0.0015755742 0.0011553321 0.0011086386 0.0041610636 0.00049228355 0.00028549778 0.000576332 0.001100634 0.00048427895 0.0009472123 0.0018637402 0.072074845 0.01225239 0.010205879 0.009272007 0.0266767 0.020674575 0.0074349493 0.01616531 0.044442933 0.0048081027 0.0031511483 0.005899398 0.0176475 0.0056445845 0.0143562695 0.027107613 0.055836163 0.012251057 0.00844353 0.009441438 0.02226349 0.022174105 0.009382738 0.017261943 0.03411565 0.0026241783 0.0034566578 0.0057313014 0.01708851 0.005439133 0.013757258 0.028492412 0.005515177 0.0051576374 0.005002882 0.0056712665 0.0050509092 0.0058433656 0.0056192367 0.0058153495 0.0050522434 0.0055805477 0.006079502 0.0058673797 0.0056152344 0.0059340848 0.00608217 0.006276949 1379.0 12.758521 17594.0 0.0488803 0.0013072639 0.001932477 0.0013072639 0.0048880302 0.0021598272 0.001023076 0.00090940093 0.0018756394 0.001420939 0.001023076 0.0012504263 0.002841878 0.0032397409 0.010287598 0.0017619643 0.00511538 0.0021029897 0.0036376037 0.0026145277 0.0031260657 0.0026713652 0.0032965783 0.001932477 0.0019893146 0.004376492 0.0018756394 0.004035467 0.0017051267 0.0015914516 0.0011367511 0.0042059794 0.0090371715 0.026031602 0.004717517 0.018983744 0.01142435 0.016880754 0.0121064 0.0123905875 0.009662385 0.013186313 0.0013641014 0.001932477 0.011367512 0.010401273 0.008696146 0.011253837 0.015630329 0.003353416 0.013413664 0.027964078 0.01699443 0.007047857 0.012049562 0.015232465 0.0022166648 0.0054564057 0.0009662385 0.0027850403 0.0027850403 0.0026713652 0.0038081163 0.005285893 0.0016482892 0.033306807 0.0059679435 0.01767648 0.01977947 0.07542344 0.007900421 0.01023076 0.01000341 0.036432873 0.004092304 0.0032965783 0.03052177 0.013470502 0.03558031 0.041832443 0.015005115 0.00062521314 0.040127315 0.026202114 0.058599524 0.017164942 0.00511538 0.015005115 0.008923497 0.008184608 0.0014777766 0.00090940093 0.0025008526 0.0007957258 0.0021029897 0.0014777766 5.737576 0.0 2.0 0.0 4.0 376285.0 102400.0 0.0 0.0 104.0 0.0 1.0 0.0 0.0 0.0 972426940.0 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 36864.0 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4333043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5455856 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6707096 0.0 3.453949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4021.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34750.0 0.0 2440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53.0 44928.0 140.0 42520.0 2440.0 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 0.0 440.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.53483075 0.020833334 0.016276041 0.0068359375 0.005533854 0.0017903646 0.008463542 0.0021158855 0.0021158855 0.0024414062 0.007975261 0.0014648438 0.0014648438 0.0014648438 0.006184896 0.00032552084 0.0026041667 0.0040690103 0.002766927 0.0024414062 0.00081380206 0.005859375 0.0013020834 0.0013020834 0.0013020834 0.0024414062 0.0 0.0006510417 0.0029296875 0.00048828125 0.00016276042 0.00032552084 0.013183594 0.00048828125 0.00048828125 0.0009765625 0.0011393229 0.001953125 0.00032552084 0.002766927 0.004231771 0.0013020834 0.00048828125 0.00016276042 0.00048828125 0.00016276042 0.0076497397 0.00016276042 0.0037434895 0.0021158855 0.0014648438 0.00032552084 0.0009765625 0.00016276042 0.0 0.0009765625 0.0016276041 0.0016276041 0.0014648438 0.00032552084 0.00032552084 0.00032552084 0.00048828125 0.00032552084 0.0017903646 0.0024414062 0.0006510417 0.003092448 0.0026041667 0.0047200522 0.001953125 0.0006510417 0.0006510417 0.0026041667 0.00048828125 0.00048828125 0.0013020834 0.0016276041 0.0016276041 0.0016276041 0.0024414062 0.0 0.0017903646 0.0043945312 0.0014648438 0.0024414062 0.0021158855 0.0009765625 0.00048828125 0.0 0.00016276042 0.0 0.00016276042 0.0006510417 0.00048828125 0.0029296875 0.0013020834 0.014160156 0.0034179688 0.006184896 0.0068359375 0.026041666 0.0011393229 0.0060221353 0.00081380206 0.0152994795 0.00048828125 0.0006510417 0.010579427 0.009277344 0.01936849 0.016276041 0.0073242188 0.00048828125 0.018717447 0.011230469 0.021158854 0.0076497397 0.004231771 0.0013020834 0.0011393229 0.0063476562 0.00032552084 0.001953125 0.00032552084 0.0021158855 0.00081380206 0.00016276042 0.0014648438 0.00032552084 0.0 0.0 0.0 0.00016276042 0.00016276042 0.00032552084 0.0 0.00016276042 0.0 0.00016276042 0.00081380206 0.0009765625 0.0 0.0 0.00032552084 0.0006510417 0.0 0.00032552084 0.00016276042 0.00016276042 0.00032552084 0.0 0.00016276042 0.00016276042 0.0 0.00032552084 0.00016276042 0.0 0.0 0.00016276042 0.00016276042 0.0 0.0016276041 0.00016276042 0.00016276042 0.0 0.0 0.00048828125 0.00016276042 0.0 0.00016276042 0.00016276042 0.00032552084 0.0 0.00016276042 0.0 0.00016276042 0.0 0.00081380206 0.00032552084 0.00032552084 0.0 0.00048828125 0.0009765625 0.00032552084 0.00032552084 0.00016276042 0.0006510417 0.0 0.00032552084 0.00016276042 0.0 0.00016276042 0.00016276042 0.00016276042 0.00016276042 0.0006510417 0.0 0.0 0.00016276042 0.0 0.0 0.0 0.0 0.00016276042 0.0006510417 0.00016276042 0.0 0.00016276042 0.0 0.0 0.0 0.00016276042 0.0 0.0 0.00016276042 0.00032552084 0.0 0.00016276042 0.00032552084 0.00032552084 0.00032552084 0.00016276042 0.00016276042 0.0006510417 0.0 0.0 0.0 0.00016276042 0.0 0.00016276042 0.0 0.0 0.0 0.00016276042 0.00016276042 0.00032552084 0.0 0.00016276042 0.00032552084 0.0 0.00016276042 0.0 0.0 0.00016276042 0.0 0.0 0.0 0.0 0.0009765625 0.00016276042 0.00016276042 0.0 0.00032552084 0.00016276042 0.0011393229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.16708985 0.0005859375 0.002734375 0.0016601563 0.0036132813 0.0024414062 0.015625 0.0053710938 0.0001953125 0.0 0.0 0.0001953125 0.0 0.0001953125 9.765625e-05 0.0001953125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12861328 0.009863282 0.0069335937 0.0034179688 0.004199219 0.00546875 0.024902344 0.014746094 0.00029296876 0.00029296876 9.765625e-05 0.000390625 0.0 0.0001953125 0.00029296876 0.00029296876 0.13681641 0.007714844 0.008300781 0.0053710938 0.0046875 0.0024414062 0.009765625 0.011035156 0.0024414062 0.0014648438 0.0020507812 0.0026367188 0.0014648438 0.001171875 0.0009765625 0.0016601563 0.068164065 0.009375 0.010546875 0.002734375 0.008691406 0.007421875 0.05732422 0.034765624 9.765625e-05 0.00029296876 9.765625e-05 0.0001953125 0.0 0.0 0.0001953125 9.765625e-05 0.08105469 0.004003906 0.008007812 0.004199219 0.010058594 0.0053710938 0.04736328 0.02998047 0.0013671875 0.0013671875 0.0010742188 0.0022460937 0.0010742188 0.00078125 0.0008789062 0.001171875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69.0 13.927536 961.0 0.007284079 0.0010405828 0.0 0.003121748 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026014568 0.0 0.0020811656 0.003121748 0.0052029137 0.0010405828 0.0 0.0010405828 0.0 0.003121748 0.0 0.0 0.0 0.0 0.0010405828 0.0 0.0010405828 0.0 0.0010405828 0.009365245 0.0010405828 0.013527576 0.012486992 0.019771071 0.004162331 0.003121748 0.0 0.009365245 0.0 0.0020811656 0.003121748 0.007284079 0.004162331 0.004162331 0.003121748 0.0 0.004162331 0.01873049 0.003121748 0.009365245 0.0052029137 0.0020811656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008324662 0.006243496 0.043704476 0.01873049 0.028095733 0.017689906 0.09989594 0.0020811656 0.029136317 0.0020811656 0.06867846 0.0010405828 0.003121748 0.03746098 0.03433923 0.07388137 0.055150885 0.010405827 0.0 0.055150885 0.04266389 0.09053069 0.032258064 0.01144641 0.0010405828 0.004162331 0.027055152 0.0 0.0 0.0 0.0 0.0 0.0 4.885103 0.0 0.0 0.0 1.0 6144.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 4096.0 512.0 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 -4096.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -4.9564962 0.0 2.5904102 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 -3700.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 11796.0 1024.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.08686045 0.009794405 0.0097833825 0.0063080224 0.008127797 0.0046098693 0.0040142997 0.0076587913 0.013192991 0.0036771777 0.0038793748 0.0041743093 0.006721919 0.0028033967 0.0026004391 0.00553496 0.008684981 0.0025320265 0.0034107484 0.0021603182 0.0032013298 0.0061331904 0.0019296156 0.0025844763 0.002843684 0.0018908484 0.0020322346 0.0020428766 0.0055862693 0.0031234156 0.0024191458 0.0024085038 0.0040633287 0.0022789 0.0019280954 0.0019170733 0.0056083137 0.002925399 0.0019060513 0.0021850227 0.002306645 0.0018361184 0.006435346 0.0028505253 0.0023837993 0.0023161469 0.0024761562 0.0022918223 0.0026574498 0.002143215 0.0025141633 0.0039382856 0.0027057186 0.003250739 0.0023108257 0.0024563926 0.0027441056 0.0033944056 0.0025464692 0.004139723 0.002756268 0.0029436424 0.0025221447 0.0031237956 0.0036935206 0.0026228633 0.0024468908 0.0029219785 0.0037566123 0.0067116567 0.003954629 0.0028638279 0.0029584651 0.002582196 0.0028497651 0.0021606982 0.0028881521 0.004759997 0.0037258265 0.0036258681 0.0063255057 0.0031169544 0.0024871784 0.0055813286 0.0029257792 0.009070371 0.0049466114 0.011273637 0.0027361242 0.0038824154 0.0025004807 0.002920078 0.0071612797 0.004129461 0.0045771836 0.0038193238 0.002050858 0.0033525978 0.0023784784 0.002622103 0.0038824154 0.0069157546 0.0032252744 0.0028132785 0.0029516239 0.004708688 0.0052027786 0.0023891202 0.0043556024 0.0030523425 0.0041830507 0.005216081 0.0042404416 0.0050530313 0.0051203035 0.003998337 0.00955192 0.008801662 0.0029151372 0.0025472294 0.0031572417 0.0029345208 0.0024674146 0.0022823205 0.0029215985 0.003841748 0.0032385767 0.0027175008 0.0036387905 0.0025947383 0.0021511964 0.0058473777 0.0036551335 0.004946992 0.0023682164 0.0017927904 0.0033012885 0.008226236 0.004965235 0.018499149 0.0020261535 0.006821497 0.0023522535 0.0020653007 0.0033461365 0.001709555 0.0018999701 0.0017353998 0.0018524614 0.0037231662 0.007803218 0.0019246747 0.0017825285 0.0021637387 0.0023522535 0.0019147928 0.0020668209 0.0028900525 0.0023895004 0.0021458755 0.0018604428 0.0016624264 0.0017057543 0.0018463803 0.0017992515 0.0021557573 0.001920874 0.0019394974 0.0020934257 0.0020599796 0.0034890429 0.009063911 0.0026547892 0.0025054216 0.0075394493 0.0033134506 0.0021508164 0.0019269551 0.00195318 0.0021496762 0.0018988299 0.002843684 0.0025324067 0.0024085038 0.006857604 0.002854326 0.0027060986 0.0025027613 0.0027771718 0.0024328283 0.0026604903 0.0027338439 0.0053403643 0.0037623134 0.0031994295 0.003387184 0.0026555494 0.0045281546 0.002588657 0.0033495573 0.0025320265 0.0028744696 0.0026494681 0.0025039015 0.0021987052 0.002349973 0.0032055108 0.0028835915 0.0023074052 0.0021530967 0.0020086702 0.0021633587 0.0024016625 0.0046273526 0.002517964 0.0023400912 0.0027619689 0.0026627707 0.002364796 0.0027710907 0.0025004807 0.0028767502 0.0023476926 0.0024514517 0.003647152 0.002513023 0.0046908245 0.0022659777 0.0022872614 0.002647948 0.002272819 0.0023252685 0.009649598 0.0028938532 0.0034936038 0.00450421 0.0033788227 0.0024803372 0.0023621353 0.0024275074 0.0032032302 0.0027467662 0.0024784368 0.0027011577 0.002936041 0.0030033134 0.0029580852 0.0029314803 0.0040770113 0.0028281012 0.0029991327 0.0030101547 0.004237781 0.003028018 0.0034255714 0.018731372 0.0054505724 3.8028134e-07 3.8028134e-07 3.8028134e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003749574 5.70422e-07 9.507034e-07 1.9014067e-07 7.6056267e-07 1.140844e-06 9.507034e-07 5.70422e-07 6.464783e-06 5.70422e-07 3.8028134e-07 1.9014067e-07 3.8028134e-07 3.8028134e-07 3.8028134e-07 5.70422e-07 0.0010760061 2.24366e-05 1.0077456e-05 6.845064e-06 3.8028136e-06 3.6126728e-06 1.7112661e-05 1.14084405e-05 2.281688e-06 1.5211253e-06 1.5211253e-06 1.140844e-06 1.711266e-06 1.3309847e-06 2.0915475e-06 5.3239387e-06 0.00034738702 8.936611e-06 2.0915475e-06 2.0915475e-06 1.9014068e-06 2.6619693e-06 2.281688e-06 1.5211253e-06 7.985908e-06 1.9014068e-06 2.281688e-06 2.0915475e-06 1.5211253e-06 1.5211253e-06 1.9014068e-06 1.3309847e-06 0.002619568 4.297179e-05 3.5176025e-05 3.7457714e-05 4.0880244e-05 6.6168956e-05 0.0001173168 6.0845017e-05 1.6352098e-05 6.274642e-06 9.887315e-06 8.36619e-06 1.1788722e-05 7.605627e-06 7.7957675e-06 2.6809836e-05 0.0012497946 4.867601e-05 2.5668991e-05 3.8788698e-05 3.954926e-05 5.152812e-05 2.7760538e-05 1.673238e-05 2.0345053e-05 4.183095e-06 3.992954e-06 4.3732357e-06 4.183095e-06 5.894361e-06 7.2253456e-06 8.936611e-06 0.0052739317 0.00025269695 0.00015819704 0.000136521 0.00016028859 0.00012720411 0.0001580069 0.00010914075 0.00013499988 0.00010020413 5.7992904e-05 5.419009e-05 5.628164e-05 5.1718263e-05 5.666192e-05 0.00012130975 0.004688869 0.00042344327 0.0002880631 0.00016295056 0.00023995753 9.430978e-05 0.00028254904 0.00019565475 0.00013005621 0.00028635186 0.00013366889 3.8218277e-05 6.5598535e-05 4.145067e-05 0.00013899284 0.00018861955 0.007793486 0.0006417248 0.0003207673 0.00019432377 0.0006829853 0.00026942932 0.0012946678 0.0006913515 0.00013423932 0.0006637811 3.061265e-05 2.9852086e-05 3.688729e-05 4.48732e-05 5.342953e-05 0.00035746448 0.01609959 0.0016888295 0.00079954154 0.0006151051 0.0020797588 0.0009847386 0.0049503124 0.0026172863 0.00027513356 0.0018312448 7.206332e-05 9.545062e-05 0.00011294356 9.868301e-05 0.0001019154 0.00028768284 0.017113041 0.001774773 0.0012497946 0.0015331042 0.002361167 0.0016334986 0.0073546413 0.0037693486 0.0005618657 0.0017639351 0.000106098494 0.00013499988 0.00023881669 0.00014564776 0.00013842242 0.0006192882 0.007737014 0.0014424071 0.000794788 0.0040828907 0.0012180412 0.0010883652 0.0026853567 0.0017907448 0.0009581189 0.00093492167 0.00037058417 0.0003907391 0.00056737976 0.00042743623 0.0005656685 0.0010358864 0.007524247 0.0014872804 0.0010339849 0.0006818445 0.0013403016 0.0012362946 0.002346336 0.0016523225 0.0011788722 0.0010067949 0.00060730934 0.0005342953 0.00070390076 0.00037001376 0.0007540979 0.0009065907 0.038661875 0.008364668 0.0056920513 0.0054855584 0.01077299 0.013582129 0.0050233263 0.00959697 0.024582338 0.0031964548 0.0021811037 0.0029557368 0.009480414 0.0037107854 0.008875957 0.015283127 0.028394278 0.008064246 0.005751375 0.0059612906 0.009762773 0.01309746 0.0056317765 0.009579668 0.01914032 0.0036769405 0.0032696591 0.0038824824 0.008450992 0.0047982 0.008523626 0.014662888 0.035120122 0.028730446 0.029565163 0.027211793 0.025831372 0.045235608 0.029352777 0.03569549 0.0281412 0.028231326 0.04078822 0.03528022 0.030300057 0.03157248 0.034641918 0.031825177 17124.0 9.470801 162178.0 0.018794164 0.00249109 0.003440664 0.0020902958 0.0035701513 0.0042730826 0.0021704547 0.004297747 0.002861054 0.0022691118 0.0028425558 0.0026329095 0.0027192344 0.0059440862 0.0076644183 0.004223754 0.006801169 0.0070601436 0.005894758 0.006702512 0.0063448804 0.010531638 0.005265819 0.0048218626 0.005006844 0.008546165 0.004587552 0.0044087362 0.004519725 0.005543292 0.0038661223 0.003816794 0.002947379 0.009199768 0.0030522018 0.017104663 0.008971624 0.0040881005 0.0068443315 0.0037551331 0.004427234 0.0047540357 0.0020902958 0.0039524473 0.00419909 0.008114541 0.0130473925 0.0058762594 0.012739089 0.0035578192 0.0040572705 0.035195895 0.008367349 0.007485602 0.0050931694 0.011795681 0.003915451 0.004007942 0.003064534 0.0029967073 0.009526569 0.0044888947 0.004118931 0.00651753 0.00249109 0.027438987 0.012504779 0.0144717535 0.033753037 0.07445523 0.008299523 0.013688663 0.008071379 0.046504457 0.0061845626 0.0058207647 0.036626425 0.017043002 0.034548458 0.047669843 0.012258136 0.0035948155 0.043581743 0.026236605 0.05126466 0.03200804 0.0061722305 0.0041497615 0.0086139925 0.010235667 0.0025465847 0.0027993931 0.002793227 0.0033050105 0.0030028734 0.0025095881 5.8661737 10.0 23.0 7.0 22.0 2631094.0 495616.0 0.0 0.0 12.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 325632.0 1024.0 4096.0 10.0 4.0 7.0 0.0 10.0 150528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 17.044533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7739697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.422152 0.0 0.0 0.0 0.0 0.0 0.0 393216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 424320.0 23552.0 397312.0 0.0 0.0 0.0 0.0 8.0 424204.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 424212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.060378645 0.00395768 0.0036023916 0.003858665 0.00337524 0.0029762685 0.0031480882 0.0038906992 0.0053380625 0.0040596067 0.0034829914 0.003127703 0.004094553 0.0040508704 0.0029151123 0.0034538694 0.0032238055 0.0031073175 0.0032558397 0.0029762685 0.0030607223 0.0032616642 0.0031247907 0.0039518555 0.0030053905 0.0043624756 0.0036955818 0.003899436 0.0035354109 0.0028597806 0.0028714293 0.0029384098 0.0042168656 0.0032092445 0.0034567814 0.0033432057 0.0037014063 0.003928558 0.0033868887 0.0047672717 0.0034684304 0.0032704007 0.003538323 0.003800421 0.00308402 0.003814982 0.0046915542 0.0029354978 0.0037188795 0.0033402934 0.0031510005 0.0032354542 0.0030898442 0.0033577667 0.0038790505 0.0030316003 0.0038237188 0.0031539127 0.0033635912 0.0030752833 0.003841192 0.0034101864 0.0032704007 0.003302435 0.007181485 0.004085817 0.0034305716 0.003858665 0.0053060288 0.012551582 0.0036635478 0.004027573 0.004114939 0.0043420903 0.0034509571 0.0029675318 0.0044148955 0.0053759213 0.004045046 0.0029587953 0.0047672717 0.0037771235 0.0031480882 0.0041003777 0.0034829914 0.0036751966 0.0036722843 0.0029908295 0.0044614905 0.0033810644 0.0035907426 0.0034130984 0.0028656048 0.0032936982 0.0035266744 0.0035732696 0.0045080855 0.0035587086 0.0030374248 0.0048138667 0.003523762 0.004280934 0.0031364395 0.0029820928 0.0042867586 0.003346118 0.005020633 0.0046071005 0.0032238055 0.0035412353 0.0032267177 0.0037014063 0.00305781 0.0036781088 0.0035790938 0.0039518555 0.003855753 0.0029820928 0.0037625625 0.0029354978 0.0039635045 0.0028597806 0.003404362 0.003887787 0.0033490302 0.003899436 0.0033082592 0.0028015366 0.0041673584 0.0040712557 0.003130615 0.004828428 0.0035703573 0.0036955818 0.0034218351 0.0030403368 0.0032616642 0.003948943 0.0035790938 0.006109796 0.0029092878 0.0045459443 0.0031480882 0.0028801658 0.0035994793 0.0027578534 0.003960592 0.0040100995 0.003127703 0.0029937418 0.0034509571 0.0029180245 0.0033577667 0.003346118 0.0029471465 0.003418923 0.003887787 0.00337524 0.0041265874 0.0030781955 0.0034917279 0.0029966538 0.0032674884 0.003855753 0.002955883 0.0038033333 0.0028452196 0.0037509138 0.0029966538 0.0033985374 0.0029238488 0.0032907862 0.0031218785 0.00322963 0.0036722843 0.00322963 0.0043741246 0.0027258194 0.0037450893 0.0028452196 0.00378586 0.00364025 0.0034101864 0.003841192 0.004123675 0.003404362 0.0034829914 0.004406159 0.003145176 0.0037188795 0.0031247907 0.0033140837 0.003960592 0.0035936548 0.003331557 0.0033053472 0.0038615773 0.0033490302 0.010757667 0.0038208065 0.0030345125 0.0039110845 0.0028714293 0.003829543 0.0061476543 0.00378586 0.0033286447 0.0030811077 0.0038674017 0.0036227768 0.0031480882 0.0028306586 0.0038499285 0.0036431623 0.0039838897 0.0033985374 0.00393147 0.0036635478 0.0034655181 0.0029092878 0.0035295866 0.0034975524 0.0039518555 0.003771299 0.00364025 0.0033082592 0.0038790505 0.0035208499 0.0034247474 0.0041557094 0.0039547677 0.0035936548 0.00454012 0.0030636345 0.0032936982 0.0030199515 0.0041673584 0.0030112148 0.0039431187 0.0029063756 0.0035324986 0.004074168 0.0035324986 0.0049682134 0.0037101428 0.003360679 0.003287874 0.004269285 0.0044323686 0.0043712123 0.0030053905 0.0033344692 0.0045925397 0.0030811077 0.0032704007 0.0070708217 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.05295805 0.050154086 0.05567868 0.052070662 0.05475621 0.050746165 0.054767907 0.052292876 0.050063446 0.051387947 0.05069061 0.055016432 0.052544326 0.054516457 0.05243322 0.054234304 1403.0 7.826087 10980.0 0.008652095 0.0070127505 0.0066484516 0.006193078 0.006284153 0.007468124 0.006010929 0.006193078 0.0071949 0.006193078 0.0064663026 0.0054644807 0.006557377 0.005919854 0.0071949 0.0048269583 0.0063752276 0.006010929 0.006921676 0.009380693 0.0058287797 0.0057377047 0.006557377 0.0070127505 0.0067395265 0.0071949 0.0071949 0.006557377 0.0048269583 0.006921676 0.005919854 0.0054644807 0.006830601 0.0356102 0.0063752276 0.0070127505 0.066848814 0.007377049 0.0067395265 0.03852459 0.006557377 0.036703095 0.006193078 0.0055555557 0.02021858 0.00856102 0.035336975 0.006193078 0.037795994 0.007468124 0.0063752276 0.007377049 0.0063752276 0.00564663 0.006830601 0.0076502734 0.036247723 0.0072859745 0.0061020036 0.019398907 0.0055555557 0.00564663 0.0064663026 0.023588343 0.0063752276 0.010291439 0.006921676 0.008378871 0.011930783 0.017941711 0.0075591984 0.009653917 0.006557377 0.010291439 0.020765027 0.0061020036 0.0104735885 0.010018215 0.010928961 0.0104735885 0.006921676 0.0055555557 0.0103825135 0.01010929 0.013661202 0.0072859745 0.0058287797 0.006284153 0.006557377 0.006284153 0.0064663026 0.0057377047 0.0058287797 0.020127505 0.0066484516 0.006284153 6.1904907 0.0 0.0 0.0 9.0 343383.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.13719895 0.012935418 0.0066654426 0.00576757 0.012788126 0.0035037205 0.0038719492 0.0034532784 0.015053993 0.002247708 0.0018966297 0.0021337084 0.009077593 0.0020197087 0.0016635864 0.012088996 0.008428904 0.0013135169 0.0010956062 0.0010875355 0.0049604937 0.0025957597 0.0016867898 0.0012166677 0.0031879519 0.0010310402 0.000921076 0.001091571 0.002363725 0.0009896775 0.0007193069 0.0014456757 0.0072606616 0.0007152715 0.0007505811 0.0011843847 0.005604137 0.0014456757 0.000633555 0.00079698797 0.0019319393 0.0008383507 0.0009039256 0.0031496158 0.0017352144 0.0021357262 0.0014648438 0.0011460485 0.0029629795 0.00094932364 0.0013155346 0.0064858682 0.0015142772 0.0008514656 0.0010925797 0.0008010234 0.0021841507 0.0017775858 0.0016141529 0.004881804 0.0016000291 0.0021861682 0.00092410255 0.0021710356 0.0047314856 0.003664127 0.0026482197 0.0031879519 0.0034966588 0.014289289 0.0053862263 0.0025897066 0.0027269095 0.001678719 0.0012953577 0.0014275165 0.0059985956 0.0090705305 0.0052379263 0.0044661593 0.0130050285 0.0037710648 0.0015616929 0.004460106 0.0019289127 0.0066714957 0.0061247014 0.00462253 0.001751356 0.003841684 0.0006910592 0.0021125225 0.0013901892 0.005975392 0.0041574524 0.0032414207 0.0015889318 0.0043138238 0.0012973754 0.0024131585 0.0032999339 0.0065211775 0.004533752 0.001195482 0.0054507926 0.0037468525 0.0076157753 0.0009816068 0.003415951 0.0014961179 0.003567278 0.0042734696 0.0032555447 0.00082927104 0.006278046 0.004742583 0.013021169 0.012119262 0.0016928428 0.001979355 0.0025322023 0.0015203302 0.00077580224 0.00068803265 0.0013205789 0.0028459532 0.001926895 0.0013639592 0.003593508 0.0018542581 0.00081010297 0.016473439 0.0043007084 0.011024664 0.0011571458 0.0010098544 0.0024585566 0.01336115 0.0018482051 0.043600287 0.0013276407 0.019493923 0.00083431526 0.00072737766 0.0014739233 0.00047718396 0.00048121932 0.00056798005 0.0011198185 0.00085751875 0.00055183854 0.00048626357 0.0010855178 0.00074049266 0.00041766206 0.00044187435 0.0010784559 0.00088475755 0.00049937854 0.00067491765 0.0012913223 0.0011803493 0.00039445862 0.00074351917 0.0010562612 0.0007344396 0.00038437016 0.00039143208 0.0014254987 0.00050442276 0.0006547408 0.00070114766 0.00096445635 0.00044389206 0.00042472398 0.00038134362 0.0016545067 0.000575042 0.00040353823 0.0005135024 0.0011541193 0.0019672487 0.0019198331 0.001143022 0.002985174 0.0009442794 0.00067491765 0.00066987344 0.0014557642 0.0011652167 0.0009119964 0.00078084646 0.008298764 0.0044974335 0.0041564438 0.0051562097 0.005329731 0.00084036833 0.0047899988 0.008554001 0.003971825 0.0027521306 0.0010340667 0.0012005263 0.013072621 0.00084238604 0.0024353531 0.0017634621 0.0021720445 0.001274172 0.0015112506 0.0010179252 0.001483003 0.00043683013 0.0010259959 0.00074957224 0.0028267852 0.0011460485 0.00071628037 0.0016635864 0.0012923311 0.0007636961 0.0006688646 0.00069812115 0.0033342345 0.0008776956 0.00068803265 0.00066079386 0.0029206078 0.002881263 0.0006618027 0.0007687403 0.023528297 0.0040454706 0.00066382036 0.0046679284 0.0063658156 0.00045498935 0.00068803265 0.0009160318 0.003953666 0.0018401343 0.0011611813 0.0009937129 0.0033090133 0.00064767885 0.003109262 0.002345566 0.0065685934 0.0034401633 0.0023334597 0.002115549 0.0078094737 0.004755698 0.005394297 0.06033199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0043203044 0.00039284676 0.00012724599 3.5851055e-05 0.0003070062 0.00011563227 0.00024944253 0.0001681465 3.6860944e-05 6.867244e-05 3.4841163e-05 3.6860944e-05 3.6356e-05 3.9385664e-05 4.0395553e-05 0.00019490854 0.012414059 0.00047010326 0.00055644877 0.00011664216 0.001508269 0.00046101425 0.0012749847 0.0007230804 0.00012421633 0.00011209766 8.53356e-05 7.776144e-05 0.00010704822 0.00032467925 0.00017218605 0.0011204716 0.0103306575 0.00050191476 0.00199857 0.00033225343 0.0013820329 0.0005296867 0.0053564506 0.0028478864 0.00010502844 9.492955e-05 6.766255e-05 4.796972e-05 6.261311e-05 0.00016208716 0.00042263846 0.00057664653 0.0117904525 0.0005897751 0.0029211035 0.0011285507 0.002270735 0.0013653697 0.011027986 0.006751612 0.00026206614 0.00029943205 7.675155e-05 9.089e-05 0.00012522622 0.00014592893 0.00016410694 0.00028680844 0.008396216 0.00048474665 0.0018632449 0.00071348646 0.0020970341 0.00073923863 0.005226175 0.0029827068 0.0004034506 0.00068117003 0.00016360199 0.0001681465 0.00018178 0.00022823487 0.00026206614 0.00022772994 0.006293122 0.00033730286 0.0012966973 0.00055341906 0.0016451089 0.0007276249 0.003905745 0.002281844 0.00044940054 0.00017673055 0.00013229543 0.00027569965 0.0005296867 0.0004423313 0.00028024416 0.00032114465 0.017601352 0.0023929316 0.001971808 0.0027655805 0.0045369253 0.0029554397 0.002888787 0.003324049 0.010023652 0.001017463 0.0007387337 0.0013744587 0.004608628 0.001254282 0.0030862202 0.0087461425 0.11042074 0.017788181 0.012938191 0.015835056 0.03764209 0.03618482 0.014103603 0.023097167 0.076685406 0.004799497 0.0053069657 0.009297541 0.044530038 0.008616371 0.031286355 0.06439455 0.047509715 0.009498005 0.0064254175 0.009996889 0.018755656 0.02061688 0.009693418 0.01308513 0.034392774 0.003025122 0.0035881351 0.005759901 0.017051468 0.0065077236 0.016923716 0.03259921 0.0028362728 0.001689039 0.0016107727 0.001853146 0.0017703351 0.0016592473 0.0020111937 0.0016728808 0.001516853 0.0015476546 0.0014870613 0.0018036615 0.0015229124 0.0017380187 0.0015224074 0.00167995 2704.0 20.29105 54867.0 0.07651229 0.0008566169 0.00082016515 0.0006014544 0.0031895312 0.011044891 0.00072903564 0.0027703356 0.003335338 0.0020595258 0.00078371336 0.0016038785 0.003554049 0.006707128 0.012958609 0.0078371335 0.004829861 0.0023875919 0.002369366 0.0018225892 0.0036269524 0.0014216196 0.0018954928 0.0013851678 0.0020412998 0.0027338837 0.013869904 0.0021506553 0.0022782364 0.005249057 0.0017679115 0.0010935535 0.0016221043 0.005394864 0.005194379 0.008256329 0.0056500263 0.0053401864 0.006688902 0.0024240436 0.0030984015 0.005230831 0.0004556473 0.0010753276 0.0049392167 0.0032624346 0.003863889 0.002533399 0.010716824 0.0024787213 0.0059780926 0.011792152 0.0051032496 0.0032442086 0.0044471174 0.006087448 0.0019501704 0.0014033937 0.0012029088 0.0014216196 0.002004848 0.0010753276 0.0018225892 0.009641496 0.0015492007 0.047277965 0.006215029 0.026828513 0.031384986 0.07780633 0.012430058 0.010552791 0.014872327 0.047715385 0.0041190516 0.0042648586 0.034082416 0.014343777 0.04405198 0.0542038 0.026810287 0.0012940383 0.053347185 0.04654893 0.0644832 0.020959776 0.0061056735 0.005595349 0.0074908417 0.008639073 0.0019501704 0.00036451782 0.0010753276 0.00032806606 0.00061968033 0.001002424 5.3984785 5.0 10.0 2.0 8.0 991232.0 1523712.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1541207200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 803840.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 -512.0 0.0 -41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -804352.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9635077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6350203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 -40.0 0.0 -41896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -353092.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -803821.0 0.0 67928.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 1031132.0 67928.0 1409024.0 0.0 0.0 6200.0 1164800.0 41896.0 1478656.0 84.0 970048.0 0.0 0.0 0.0 0.0 24.0 970228.0 64.0 970136.0 0.0 0.0 1544.0 811008.0 0.0 0.0 0.0 0.0